Answer:
probability that the page opened will start with S
Step-by-step explanation:
14/90
0.15556
A recipe called for using 2 6/8 cups of flour before baking the another 3 1/2 cups after baking what is the total amount for flour needed in the recipe
Final answer:
To calculate the total flour needed, simplify 2 6/8 cups to 2 3/4 cups and add it to 3 1/2 cups. Convert to a common denominator and sum up to get the total of 6 1/4 cups of flour.
Explanation:
To find the total amount of flour needed in the recipe, we will have to add the two quantities of flour given: 2 6/8 cups and 3 1/2 cups. First, we can simplify 2 6/8 cups to 2 3/4 cups by dividing the numerator by the denominator's GCD (Greatest Common Divisor), which is 2 in this case. Then, we can add the simplified amount to the 3 1/2 cups.
Adding the two amounts together, we have:
2 3/4 cups + 3 1/2 cups
= (2 + 3) + (3/4 + 1/2) cups
= 5 + (3/4 + 1/2) cups
To add fractions, we need a common denominator. Multiply the second fraction by 2/2 to get the same denominator:
5 + (3/4 + 2/4) cups
= 5 + (5/4) cups
= 5 + 1 1/4 cups
= 6 1/4 cups
Therefore, the total amount of flour needed for the recipe is 6 1/4 cups.
Estimate the perimeter of the figure to the nearest whole number. PLZ SOLVE PLZ
Answer:
The perimeter is approximately 19.
Step-by-step explanation:
Three of the sides are roughly four segments long and two are around three and a half.
4 + 4 + 4 + 3.5 + 3.5 = 19
Answer:
Approximately 19 units.
Step-by-step explanation:
The question asks for an estimate, so this is an estimate.
The bottom side has a length of 4.
The two sides that go up from the bottom are diagonals in 1 by 3 rectangles.
Each side is between 3 and 4 units long. Call it approximately 3.5 units long each.
The two upper sides are diagonals in 3 by 3 rectangles.
Each side is approximately 4 units long.
4 + 3.5 + 3.5 + 4 + 4 = 19
Determine whether each event is impossible,
unlikely, as likely as not, likely, or certain:
a) Bonne's Spanish Club meets on Tuesday
afternoons. How likely is it that Bonnie is at the
mall on Tuesday afternoon?
Answer:
likely
Step-by-step explanation:
2(x + 6) = 18
what is the answer if yall cant tell im not good at math
Answer:
x = 3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
x + 6 = 18/2
x+6=9
x=9-6
x=3
What is a unit rate?
Answer:
A unit rate is something over a unit of something else.
Such as: (50 miles) / hour
If you have (150 miles) / 3 hours
This is not a unit rate, therefore you have to divide the top and bottom by 3 to get the unit rate
(150/3 miles) / (3/3 hours)
(50 miles) / hour
Hope this helps :)
Bargain Bikes is having a 50%-off sale. The original price of the bicycle Gillian wants to buy is $72. Find 50% of $72.
50% is equivalent to the unit fraction
To find 50% of $72, divide 72 by
50% of $72 is
Answer:
50% is equivalent to the unit fraction .answer:1/2
To find 50% of $72, divide 72 by . answer: 2
50% of $72 is .answer: $36
Step-by-step explanation:
just answered :) good luck everyone
The sales price of the Bikes are obtained by finding the percent value as $36.
What is percentage?A percentage is a value that indicates 100th part of any quantity. It can be converted into a fraction or a decimal by dividing it by 100. The percent value is useful in representing the large data into a two digit number.
The sales percent is given as 505
And, the original price is $72.
The value of sales price is given as follows,
50% × Original price
⇒ 50/100 × 72
⇒ 1/2 × 72
⇒ 36
Hence, the sales price is obtained as $36.
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Need help ASAP for this question 15 points
Answer:
D
Step-by-step explanation:
If you plug it into desmos, this is the answer.
Annie spent $70 at a clothing store and $35 at a pet store. What percent of the money did she spend? Check all that apply. 1) 33 1/3% at the pet store 2) 35% at the pet store 3) 50% at the pet store 4) 66 2/3% at the clothing store 5) 70% at the clothing store 6) 100% at the two stores 7) 105% at the two stores
Answer:
1, 4 and 6 are correct
Step-by-step explanation:
In answering this question, we shall be evaluating the validity of the options.
1 is correct
the total amount of money is 70+35 = 105
The percentage spent at pet store = 35/105 * 100 = 33 1/3 %
2. is wrong since 1 is correct
3 is wrong since 1 is correct
4. is correct
since she spent 33 1/3 at pet shop, what is spent at clothing store will be 100 - 33 1/3 = 66 2/3 %
5 is wrong
6 is correct
7 7 is wrong
Answer:
1) [tex]33\frac{1}{3}\%[/tex] at the pet store4)[tex]66\frac{2}{3}\%[/tex] at the clothing store6) 100% at the two storesStep-by-step explanation:
Amount of Money spent by Annie
At clothing store=$70At pet store=$35Total Amount Spent= 70+35=$105
Percentage Spent at each place
Clothing Store
[tex]\frac{70}{105}X100=66\frac{2}{3}\%[/tex]
Pet Store
[tex]\frac{35}{105}X100=33\frac{1}{3}\%[/tex]
Therefore the following applies:
1) 33 1/3% at the pet store4)66 2/3% at the clothing store6) 100% at the two storesThe average of a list of 4 numbers is 90. 0.A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth numberin the list is 80, and the fourth number in the new list is 96. What is the average of this new list of numbers.
Answer:
New Average of New List = 87.5
Step-by-step explanation:
Average is the arithmetic mean (M) of observations.
M = ΣX / N
where ΣX = sum of all observations , N = number of observations
Given : M = 90 ; N = 40
M = ΣX / N
90 = ΣX / 4
ΣX = 90 x 4
ΣX = 360 [ Of Old List of 4 numbers ]
New ΣX of new list of 4th new number = Old ΣX - Old 4th No. + New 4th No.
New ΣX = 360 - 90 + 80
New ΣX = 350
New Average (Mean M) = New ΣX / N
New M = 350 / 4
New M = 87.5
Mary lost 30 lbs. Before her diet she weighed 180 pounds. What is the percent of change?
Answer:
The percent change is 16.67
Step-by-step explanation:
Answer:
16.7%
Step-by-step explanation:
Her weight decreased by 30 lb.
Expressed as a fraction: (-30 lb)/(180 lb) = (-1/6)
As a percentage, her weight loss came to (-1/6)(100%) = 16.7%
Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has been consistent each year.
Answer:
x = 3
The number of games lost if 27 games are won = 3
Step-by-step explanation:
Complete question
Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has been consistent each year.
W | L
18 | 2
45 | 5
36 | 4
27 | x
Using the information in the table, how many losses should he predict for next year if the number of games won is 27?
1 3 6 9
The ratio of wins to losses each year has been consistent, in other words, the same. Hence, we can use this ratio to find x.
Ratio of wins to losses
18 : 2 = 9 : 1
45 : 5 = 9 : 1
36 : 4 = 9 : 1
Hence, 27 : x = 9 : 1
(27/x) = (9/1)
27 = 9x
x = (27/9) = 3
x = 3
Hope this Helps!!!
Answer: what there trying to say is x=3 and that's ur answer :)
Step-by-step explanation:
Give an example of a sequence satisfying the condition or explain why no such sequence exists. (a) A divergent sequence {an} such that {a2n} converges. (b) A monotonically increasing sequence that converges to 0. (c) A convergent sequence that is not bounded. (d) A monotonically decreasing bounded sequence that diverges.
Answer:
Step-by-step explanation:
a) Consider the sequence [tex]a_n =1 [/tex] if n is odd, and [tex] a_n= -1[/tex] if n is even. So, the sequence diverges (since as n tends to infinity the sequence doesn't approach any particular number), but the subsequence of the even integers is convergent to -1 since it is constant.
b) consider the sequence [tex] a_n = -e^{-n}[/tex]. The function f(x) = [tex] e^{-x}[/tex] when x is real is a monotolically decreasing function and tends to 0. Then, when multiplying by a minus sign, it becomes a monotonically increasing function that tends to 0. Hence, the given sequence is monotonically increasing and converges to 0.
c) Suppose that the sequence [tex]a_n[/tex] converges to a. So, from an specific n and on, the values of [tex]a_n[/tex] are really close to a. So, for almost all the value of the sequence, they are less than a+1 and greater than a-1. Hence it must be bounded.
d) It is a theorem that a monotonically decreasing/increasing sequence that is bounded must converge, so such a sequence can't exist.
In mathematics, various types of sequences can be studied. Examples of sequences satisfying certain conditions are presented in this solution.
Explanation:(a) An example of a divergent sequence {an} such that {a2n} converges is the sequence {1, -1, 1, -1, ...}. The terms of the sequence alternate between positive and negative 1, so the sequence does not converge. However, the subsequence {a2n} consists of only positive 1's, which converges to 1.
(b) An example of a monotonically increasing sequence that converges to 0 is the sequence {1/n} for n = 1, 2, 3, ... Each term of the sequence is smaller than the previous term, and as n approaches infinity, the terms get closer and closer to 0.
(c) It is not possible for a convergent sequence to be unbounded. By definition, a convergent sequence approaches a specific limit, which means it cannot go beyond a certain value. If a sequence is not bounded, it cannot converge.
(d) An example of a monotonically decreasing bounded sequence that diverges is the sequence {(-1)^n/n} for n = 1, 2, 3, ... The terms of the sequence alternate between positive and negative values, but as n approaches infinity, the terms get smaller and smaller, converging towards 0. Therefore, the sequence is bounded. However, the sequence does not converge to a specific value, so it diverges.
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Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500seventh grade students in the school predict the number of seventh grade students in his school
Complete Question:
Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500 seventh grade students in the school predict the number of seventh grade students in his schoolwhose favorite food is pizza. 58 of the 125 students likes pizza.
Answer:
n = 696
Step-by-step explanation:
Sample size = 125
number of students out of the 125 that like Pizza = 58
Probability that a student will like pizza, P = 58/125
P = 0.464
Since there are 1500 seventh grade students in the school, based on the probability that a student likes pizza = 0.464, number of seventh grade students in the school that like pizza will be:
n = 100 * P
n = 1500 * 0.464
n = 696
Write the proportion of 5 and 20
Answer:
5 : 20 = 1 : 4
Step-by-step explanation:
Common multiple is 5 so divide each number bu five.
Resolución de problemas mediante sistemas de ecuaciones. plantear un problema, cuya expresión algebraica coincida para cada uno de los siguientes sistemas de ecuaciones, no debe resolver el sistema de ecuaciones. a. X +y = 13 b. 3x - 30y = 15 c. 8x+3y=37 d. X-5y=4 x-y=1 2x + 10y = 40 8x-3y=50 3x+5y=32
We want to find word problems that gives rise to the following systems of algebraic equations.
a)
x+y=13
x-y=1.
Answer: The sum of the ages of two students is 13. The difference between their ages is 1. Find the ages of the two students.
b)
3x-30y=15
2x+10y=40
Answer:
The difference between 3 times Dan's age and 30 times Mark's age is 15. If the sum of 2 times Dan's age and 10 times Mark's age is 40. Find the ages of Dan and Mark.
c)
8x+3y=37
8x-3y=50
Answer:
The sum of 8 times an eagle's distance above sea level in feet and a herring's distance below sea level is 37 feet. The difference between 8 times an eagle's distance in feet above sea level and 3 times the herring's distance below sea level is 50. Find the distance of the eagle and the herring relative to the surface of the sea.
d) x-5y=4
3x+5y=32
The difference between a pig's age and 5 times the age of a piglet is 4 years. If the sum of 3 times pigs and 5 times the piglet's age is 32 years, find the ages of the pig and its piglet.
Casey has 281 tennis balls. She will put them in containers that hold 3 tennis balls. About how many containers will Casey use? A) 50 B) 70 C) 80 D) 90
Answer:
90
Step-by-step explanation:
If we have total around 281 items, and we can divide them into groups of 3.
We can make around 281/3 groups which is about 90
certain magical substance that is used to make solid magical spheres costs $500 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $30 per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere?
Answer:
The value of r to have maximum profit is 3/25 ft
Step-by-step explanation:
To find:
The size of the sphere so that the profit can be maximized.
Manufacturing cost of the solid sphere = $500/ ft^3
Selling price of sphere (on surface area) = $30 / ft^2
We see that the manufacturing cost dealt with he volume of the sphere where as the selling price dealt with the surface area.
So,
To maximize the profit (P) .
We can say that:
⇒ [tex]P(r)=(unit\ cost)\ (SA) - (unit\ cost)\ (Volume)[/tex]
⇒ [tex]P(r)=(30)\ (4 \pi r^2) - (500)\ (\frac{4\pi r^3}{3} )[/tex]
⇒ [tex]P(r)=(120)\ (2\pi r^2) - (\frac{500\times 4}{3} )\ \pi r^3[/tex]
⇒ [tex]P(r)=(120)\ (\pi r^2) - (\frac{2000}{3} )\ \pi r^3[/tex]
Differentiate "[tex]P[/tex]" and find the "[tex]r[/tex]" value then double differentiate "[tex]P[/tex]", plug the "[tex]r[/tex]" values from [tex]P'[/tex] to find the minimum and maximum values.
⇒ [tex]P(r)'=(120)\ 2\pi r - (\frac{2000}{3} )\ 3\pi r^2[/tex]
⇒ [tex]P(r)'=(240)\ \pi r - (2000)\ \pi r^2[/tex]
Finding r values :
⇒ [tex](240)\ \pi r - (2000)\ \pi r^2 =0[/tex]
Dividing both sides with 240π .
⇒ [tex]r-\frac{25}{3} r^2 =0[/tex] ⇒ [tex]r(1-\frac{25}{3} r) =0[/tex]
⇒ [tex]r=0[/tex] and [tex]r=\frac{3}{25}[/tex]
To find maxima value the double differentiation is :
⇒ [tex]P(r)'=(240)\ \pi r - (2000)\ \pi r^2[/tex] ...first derivative
Double differentiating :
⇒ [tex]P(r)''=(240\pi) - (2000\pi)\ 2(r)[/tex] ...second derivative
⇒ [tex]P(r)''=(240\pi) - (4000\pi)\ (r)[/tex]
Test the value r = 3/25 dividing both sides with 240π
⇒ [tex]1 - \frac{50\pi r}{3}[/tex]
⇒ [tex]1 - \frac{50\times \pi\times 3 }{3\times 25}[/tex]
⇒ [tex]-5.28 < 0[/tex]
It passed the double differentiation test.
Extra work :
Thus:
⇒ [tex]P(r)=(120)\ (\pi r^2) - (\frac{2000}{3} )\ \pi r^3[/tex]
⇒ [tex]P(r)=(120)\times (\pi (\frac{3}{25} )^2) - (\frac{2000}{3} )\times \pi (\frac{3}{25} )^3[/tex]
⇒ [tex]P(r) =1.8095[/tex]
Finally r =3/25 ft that will maximize the profit of the manufacturing company.
Dan invests £18790 into his bank account he receives 5.3% per year simple interest how much will Dan have after 7 years.
Dan will have £25783.21 after 7 years by investing £18790 at a simple interest rate of 5.3% per year.
The question concerns how much money Dan will have after 7 years with an investment of \£18790\ at a \simple interest rate\ of 5.3% per year. We can calculate the total amount in Dan's bank account using the formula for simple interest:
Total amount = Principal + (Principal × rate × time)
Where:
Principal (P) is the initial amount invested, which is £18790.
Rate (r) is the annual interest rate, which is 0.053 (5.3% expressed as a decimal).
Time (t) is the number of years the money is invested, which is 7 years.
Now, let's do the calculation:
Total amount = £18790 + (\£18790 * 0.053 * 7\)
Total amount = £18790 + £6993.21
Total amount = £25783.21
Thus, Dan will have \£25783.21\ in his bank account after 7 years.
Last month, Belinda worked 160 hours at a rate of $10.00 per hour. If her employer retains 9% of her gross salary, is $1,500 a reasonable estimate of her net salary?
We have been given that last month, Belinda worked 160 hours at a rate of $10.00 per hour.
Let us find amount earned by Belinda last month as:
[tex]\text{Amount earned in 160 hours}=\$10\times 160[/tex]
[tex]\text{Amount earned in 160 hours}=\$1600[/tex]
We are also told that Belinda's employer retains 9% of her gross salary. This means that Belinda's net income will be 91% of $1600. [tex](100\%-9\%=91\%)[/tex].
[tex]\text{Belinda's net income would be}=\$1600 \times \frac{91}{100}[/tex]
[tex]\text{Belinda's net income would be}=\$16\times 91[/tex]
[tex]\text{Belinda's net income would be}=\$1456[/tex]
Upon rounding $1456 to nearest hundred, we will get:
[tex]\text{Belinda's net income would be}\approx \$1500[/tex]
Therefore, $1500 is a reasonable estimate of her net salary.
Final answer:
After calculating the gross salary at $1,600 and then determining the tax retained, Belinda's net salary would be $1,456. Hence, $1,500 is not a reasonable estimate for her net salary.
Explanation:
Let's first calculate the gross salary that Belinda earned. She worked for 160 hours at a rate of $10.00 per hour, so her gross salary can be calculated by multiplying the number of work hours by the rate per hour:
Gross Salary = 160 hours * $10.00 per hour = $1,600
The employer retains 9% of her gross salary, so let's find out how much that amounts to:
Tax = 9% of $1,600 = 0.09 * $1,600 = $144
Now, to obtain the net salary, we subtract the tax from the gross salary:
Net Salary = Gross Salary - Tax = $1,600 - $144 = $1,456
Therefore, $1,500 is not a reasonable estimate of her net salary, as the exact calculation shows that her net salary is $1,456.
Please Help, 35 Points And Brainliest...
Stefan, a 36-year-old male, bought a $150,000, 10-year life insurance policy from Fly-by-Night Life Insurance through his employer. Stefan paid weekly.
What is Stefan’s annual premium?
Explain how you found your answer and show all work
A 36 year old male will pay $4.55 per $1,000 for a 10 year policy,
He bought a $150,000 policy:
150,000 / 1000 = 150
Multiply the rate per 1000 by 150:
4.55 x 150 = 682.50
His annual premium is $682.50
Answer:
His annual premium is $682.50
Step-by-step explanation:
A circular garden is surrounded by a rectangular grassy
area. The garden takes up nearly half the grassy area.
The base of the grassy area is 6 yards by 3 yards.
Use the base of the grassy area to find the approximate
area of the circular garden. Use pi = 3.14. If necessary,
round to the nearest tenth.
O 4.7 ydº
O 7.1ydº
O 9.4 yd?
O 28,3 yd2
3 yards
6 yards
Answer:
7.1 yds
Step-by-step explanation:
i just answered it
Answer:
7.1
Step-by-step explanation:
What type of relationship does there appear to be between the day of the week and the number of newspapers sold?
A) no relationship
B) quadratic relationship
C) exponential relationship
D) positive linear relationship
Answer:
A
Step-by-step explanation:
hi.
Economist: The price of tap water in our region should be raised drastically. Supplies in local freshwater reservoirs have been declining for years because water is being used faster than it can be replenished. Since the price of tap water has been low, few users have bothered to adopt even easy conservation measures. The two sections in boldface play which of the following roles in the economist's argument?(A) The first is a conclusion for which support is provided, and which in turn supports the main conclusion; the second is the main conclusion.(B) The first is an observation for which the second provides an explanation; the second is the main conclusion but not the only conclusion.(C) The first is a premise supporting the argument's main conclusion; so is the second.(D) The first is the only conclusion; the second provides an explanation for the first.(E) The first is the main conclusion; the second is a conclusion for which support is provided, and which in turn supports the first.
Answer:
(C) The first is a premise supporting the argument's main conclusion; so is the second.
Step-by-step explanation:
The two sections in boldface are "Supplies in local freshwater reservoirs have been declining for years" and "few users have bothered to adopt even easy conservation measures"
In the economist's argument, both highlighted sections are premises giving the reason why the price of tap water should be drastically raised.
The conclusion of the argument is that the supply of water be drastically raised, the two boldfaced sections are just premises on which the conclusion is based.
In case-control studies, the odds ratio is used as an estimate of the relative risk. In order for this approximation to be reasonable, some conditions must be met. Which of the following conditions is not necessary in order to use the odds ratio to estimate the relative risk?a. Cases are representative of all cases.b. With respect to exposure, controls are representative of the population to which you want to generalize your results.c. The exposure in question is rare in the population.d. The event (disease) under study is rare in the population.
Answer:
The conditions that are not necessary to use the odd´s ratio to estimate the relative risk are a. Cases are representative of all cases and c. The exposure in question is rare in the population.
Step-by-step explanation:
Case-control studies are an example of observational studies. In this kind of studies, people are selected because of the presence or absence of a sisease, searching for the previous presence of the suspected cause (exposure). The idea is to select a group of people that has a particular condition or disease (the group of cases) and compare it with a group of persons that does not have this disease (the control group). Reasearchers analyse both groups and compare them in order to find some information related with the presence of previous or present exposure to factors that are considered as the cause of the disease. The variable used to estimate the relationship between the exposure and the development of the disease is called odd ratio and it is an aproximation of another variable "relative risk".
The odd ratio is aproximately equal to the relative risk (it means it is a good estimator) when the disease is not frequent on the population (in other words, the event under study is rare in the population) and when controls are representative of the population that give rise to the cases.
The point a. Cases are representative of all cases is a dessirable condition but could it not be present.
Finally c. The exposure in question is rare in the population is not necessary, the only factor that must be rare in the population is the disease.
Summarizing, points b and d are strictly necessary, c. is a dessirable condition and a. is not necessary.
At a sale this week, a table is being sold for $255. This is a 32% discount from the original price. What's the original price.
Answer:
12$
Step-by-step explanation:
Answer:
$375
Step-by-step explanation:
Sale price = original price - (markdown percentage)(original price), or
Sale price = (1 - markdown percentage)(original price
That 32% discount is equivalent to multiplying the original price by 0.32.
Here, $255 = (1 - 0.32)(original price), or
$255 = 0.68(original price)
Then (original price) = $255/0.68 = $375
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 732 hours. A random sample of 28 light bulbs has a mean life of 704 hours. Assume the population is normally distributed and the population standard deviation is 65 hours. At alphaequals0.05, do you have enough evidence to reject the manufacturer's claim?
Answer:
[tex]z=\frac{704-732}{\frac{65}{\sqrt{28}}}=-2.279[/tex]
[tex]p_v =P(z<-2.279)=0.0113[/tex]
If we compare the p value and the significance level given for example [tex]\alpha=0.05[/tex] we see that [tex]p_v<\alpha[/tex] so we can conclude that we can reject the null hypothesis, and the the true mean is significantly lower than 732 hours so we have enough evidence to reject the claim
Step-by-step explanation:
Data given and notation
[tex]\bar X=704[/tex] represent the sample mean
[tex]\sigma=65[/tex] represent the standard deviation for the population
[tex]n=28[/tex] sample size
[tex]\mu_o =732[/tex] represent the value that we want to test
[tex]\alpha[/tex] represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
[tex]p_v[/tex] represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the true mean is at least 732 or no, the system of hypothesis would be:
Null hypothesis:[tex]\mu \geq 732[/tex]
Alternative hypothesis:[tex]\mu < 732[/tex]
We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
[tex]z=\frac{704-732}{\frac{65}{\sqrt{28}}}=-2.279[/tex]
Calculate the P-value
Since is a one-side lower test the p value would be:
[tex]p_v =P(z<-2.279)=0.0113[/tex]
Conclusion
If we compare the p value and the significance level given for example [tex]\alpha=0.05[/tex] we see that [tex]p_v<\alpha[/tex] so we can conclude that we can reject the null hypothesis, and the the true mean is significantly lower than 732 hours so we have enough evidence to reject the claim
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≥ 732
For the alternative hypothesis,
µ < 732
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = lifetime of the bulb
µ = mean lifetime
σ = standard deviation
n = number of samples
From the information given,
µ = 732
x = 704 hours
σ = 65 hours
n = 28
z = (704 - 732)/(65/√28) = - 2.28
Looking at the normal distribution table, the probability corresponding to the z score is 0.011
Since alpha, 0.05 > than the p value, 0.011, then we would reject the null hypothesis. Therefore, At a 5% level of significance, there is enough evidence to reject the manufacturer's claim
3a + 1 = -a -3 ??????????
Answer: a=-1
Step-by-step explanation: -3+1=-2 and 1-3also equals -2
Identify the functions that have the given property.
The domain is all real numbers for .
An x-intercept is (pi,0) for .
The minimum value is –1 for .
An x-intercept is (pi/2,0) for .
Answers
1, both the sine and cosine function
2, the sin function
3, both the sine and cosine function
4, the cosine function
Answer:
this is right!
Step-by-step explanation:
i got it right on edge
The functions that have the given properties are the sine and cosine functions. The sine function is odd, with x-intercepts at integer multiples of pi and a minimum value of -1 at x=3pi/2. The cosine function is also odd, with x-intercepts at odd multiples of pi/2 and a minimum value of -1 at x=pi.
Explanation:The functions that have the given properties are the sine and cosine functions.
The sine function: The sine function is odd, which means that it satisfies the property of being an odd function. The x-intercepts of the sine function are at integer multiples of pi, and the minimum value is -1 at x=3pi/2.The cosine function: The cosine function is also an odd function. The x-intercepts of the cosine function are at odd multiples of pi/2, and the minimum value is -1 at x=pi.Therefore, the functions that satisfy all the given properties are the sine and cosine functions.
Steve Herr is an architect in Minneapolis, Minnesota. His latest project is designing a park. On the blueprint, the park is determined by a plane which contains the points at (1,0,3), (2,5,0), and (3,1,4) One of the features of the park is a monument that must be perpendicular to the ground. Find a nonzero vector, representing the monument, perpendicular to the plane defined by the given points.
Answer:
8i - 7j - 9k
Step-by-step explanation:
We have three points:
A (1,0,3)
B (2,5,0)
C (3,1,4)
First of all, we write the following two vectors:
[tex]AB=(2-1,5-0,0-3)=(1,5,-3)[/tex]
[tex]BC=(3-2,1-5,4-0)=(1,-4,4)[/tex]
These two vectors connect A with B and B with C, and since these 3 points lie on the plane, the two vectors also lie on the plane.
Therefore, the cross product of these two vectors must be a vector perpendicular to the plane.
The cross product of the two vectors is:
[tex]AB \times BC = i(5\cdot 4 -(-3\cdot-4))+j(-3\cdot 1 -1\cdot 4)+k(1\cdot -4-5\cdot 1)=\\=8i-7j-9k[/tex]
And the equation of the plane can be found as:
[tex]8(x-a_x)-7(y-a_y)-9(z-a_z)=0\\8(x-1)-7(y-0)-9(z-3)=0\\8x-7y-9z=-19[/tex]
Answer:
A on Edge 2020
Step-by-step explanation:
Please , help me I completely don’t understand
answer:
yeah i dont knoww....