Answer:
1/4
Step-by-step explanation:
The probability that the spinner will land on yellow is 2/8 because 2 is how many of the sections are yellow and 8 is how many sections there are in total. However, you need to simplify this to 1/4 and that is your answer
Final answer:
The probability that a spinner with 8 equal sections will land on yellow is 2 out of 8, which simplifies to 1/4 or a 25% chance.
Explanation:
The question asks about the probability of a spinner with 8 equal-sized sections landing on yellow, where 2 of the sections are yellow. To calculate the probability:
Count the number of favorable outcomes (the yellow sections): 2 sections.Count the total number of possible outcomes (all sections of the spinner): 8 sections.Divide the number of favorable outcomes by the total number of possible outcomes to get the probability.a. The probability that the spinner will land on yellow is 2 out of 8, or 1/4.
b. In words, the probability can be described as having a one in four chance or a 25% chance of landing on yellow when the spinner is spun.
What is the quotient?
StartFraction 2 m + 4 Over 8 EndFraction divided by StartFraction m + 2 Over 6 EndFraction
Answer:
3/2
Step-by-step explanation:
StartFraction 2 m + 4 Over 8 EndFraction divided by StartFraction m + 2 Over 6 EndFraction
I think you mean:
(2m + 4) / 8 divided by (m + 2)/6
=
(2m + 4)/8 times (6 / (m + 2) )
= (m + 2)/4 times 6/(m + 2)
= 6/4 = 3/2
The quotient of the given (2m + 4)/8 divided by (m +2)/6 will be 3/2.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Given that
(2m + 4)/8 ÷ (m +2)/6
⇒ (2m + 4)/8 × 6/(m +2)
⇒ 2 ×6 ÷8
⇒3/2 hence it will be the correct answer.
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What is the area of the triangle below?
Answer:
9 square units
Step-by-step explanation:
Draw a rectangle around the triangle. The rectangle is 4 units tall by 6 units wide. The area of the triangle equals the area of the rectangle minus the triangles in the corners.
A = (4)(6) − ½(2)(4) − ½(1)(4) − ½(3)(6)
A = 24 − 4 − 2 − 9
A = 9
The price of a movie ticket after a 16% increase is $8.99. What was the price before increase?
Answer:
The price before the increase was $7.75.
Step-by-step explanation:
This question can be solved using a rule of three.
The price of a movie ticket after a 16% increase is $8.99.
This means that the current price, of $8.99, is 100+16 = 116% = 1.16 of the original
x, the original price, is 100% = 1. So
8.99 - 1.16
x - 1
[tex]1.16x = 8.99[/tex]
[tex]x = \frac{8.99}{1.16}[/tex]
[tex]x = 7.75[/tex]
The price before the increase was $7.75
Answer:
$7.75
Step-by-step explanation:
When a number is increased by a certain percentage, it means that the product of the percentage and the number is added to the number. The result is the increase of the original number by the given percentage.
As such, if the original number is x and it is increased by 16%, to get $8.99, this may be expressed mathematically as
16% * x + x = 8.99
1.16x = 8.99
x = 8.99/1.16
= $7.75
The price before the increase was $7.75
Integrate both sides of the differential equation you found for dp to obtain an equation for p. Your equation should then include a constant that depends on initial conditions. Determine the value of this constant by assuming that the pressure at some reference height y0 is p0. Express your answer in terms of quantities given in the problem introduction along with y0 and p0.
Answer:
Step-by-step explanation:
FIND THE SOLUTION BELOW
1. In a study on the likability of comedians, 10 participants observed one of two comedians (one who was humorous and one who was not humorous), and rated how likeable these comedians were on a 9-point scale from 1 (not likeable at all) to 9 (very likeable). The ratings are the data below. Test to see if the humorous comedian was liked more or less than the nonhumorous comedian, using alpha = .05 and four steps. Also calculate and interpret effect size and explained variance if appropriate.]
Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
step-by-step explanation:
using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).
since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:
84 < n + (n + 2) + (n + 4) < 96
in order to solve for 'n', we must first combine like terms:
84 < 3n + 6 < 96
subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90
divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.
38:27
The cost table shows the average cost, a(x), of producing x
number of earbuds.
When verifying that a function represented in another table
is the inverse of the given cost function, which ordered pair
can be expected?
x
a(x)
20 25
52 67.5
30
84
(20, 20)
(52, 20)
(20,52)
(52, 52)
What’s the answer
Answer:
(52,20)
Step-by-step explanation:
Answer: B
(52, 20)
Step-by-step explanation:
Bethany sells roses and petunias. The expression
3
r
+
2.5
p
3r+2.5p3, r, plus, 2, point, 5, p gives the cost (in dollars) of
r
rr roses and
p
pp petunias.
What is the cost of
7
77 roses and
8
88 petunias?
Answer:
$41
Step-by-step explanation:
Fill in the values of the variables and do the arithmetic.
3r +2.5p = 3(7) +2.5(8) = 21 +20 = 41
7 roses and 8 petunias cost $41.
Answer the question bellow
Answer:
D
Step-by-step explanation:
All of the other functions are functions that are just multiplicative. When we substitute any x for A, B,or C, y/x will be the same. In D y/x will vary.
I am not understanding this question.
Answer:
boardgamegeek.com/boardgame/245655/kings-dilemma
Step-by-step explanation:
Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.) 2x + 3y − z = −1 x + 2y = 5 x + 3y + z = 12
Answer:
inconsistent
Step-by-step explanation:
The sum of the first and last equations is ...
(2x +3y -z) +(x +3y +z) = (-1) +(12)
3x +6y = 11
Three times the second equation is ...
3(x +2y) = 3(5)
3x +6y = 15
There are no values of x, y, or z that can make both of these equations true. They are inconsistent.
What is the equation of the circle with center (0, 0) that passes through the point (-3, -5)
A) x2+y2=34
B) x2+y2=64
C) x2+y2=16
D) x2+y2=31
Answer:
A
Step-by-step explanation:
(x - h)² + (y - k)² = r²
x² + y² = r²
(-3)² + (-5)² = r²
r² = 34
x² + y² = 34
A company that produces laundry detergent is interested in the level of consumer awareness concerning the unique properties of their product. Historical data indicated that among the consumers who buy this detergent, the proportion who purchased it because they had seen it advertised on TV is 0.80. The marketing manager feels that decreases in the TV advertising budget over the years has caused a decrease in sales. She decides to conduct a survey to determine if there is sufficient evidence to conclude that the population proportion is less than 0.80. In a random sample of 400 consumers who bought this detergent, 296 indicated that they bought it because they saw it advertised on TV. What is the value of the test statistic for the test described above and what is the type of alternative hypothesis?
Answer:
The value of test statistic is -2.736.
The type of alternate hypothesis is Left- tailed.
Step-by-step explanation:
We are given that Historical data indicated that among the consumers who buy this detergent, the proportion who purchased it because they had seen it advertised on TV is 0.80. In a random sample of 400 consumers who bought this detergent, 296 indicated that they bought it because they saw it advertised on TV.
We have to test the hypothesis to determine if there is sufficient evidence to conclude that the population proportion is less than 0.80.
Let p = population proportion of people who purchased the detergent because they had seen it advertised on TV.
SO, Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 0.80 {means that the population proportion of people who purchased the detergent because they had seen it advertised on TV is greater than or equal to 0.80}
Alternate Hypothesis, [tex]H_a[/tex] : p < 0.80 {means that the population proportion of people who purchased the detergent because they had seen it advertised on TV is less than 0.80}
The test statistics that will be used here is One-sample z-proportion test;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = proportion of people who bought detergent because they saw it advertised on TV in a sample of 400 customers = [tex]\frac{296}{400}[/tex] = 0.74
n = sample of customers = 400
SO, test statistics = [tex]\frac{0.74-0.80}{\sqrt{\frac{0.74(1-0.74)}{400} } }[/tex]
= -2.736
Therefore, the value of the test statistic for the test described above is -2.736.
And the type of alternative hypothesis is left-tailed because we have to determine whether the population proportion of people who purchased the detergent because they had seen it advertised on TV is less than 0.80.
Final answer:
To test if the population proportion is less than 0.80, a hypothesis test can be conducted using the sample data. The test statistic can be calculated using the formula (sample proportion - hypothesized proportion) / sqrt((hypothesized proportion * (1 - hypothesized proportion)) / sample size). Using the given information, the test statistic is approximately -5.00.
Explanation:
To test whether there is sufficient evidence to conclude that the population proportion of consumers who purchased the detergent because of TV advertisements is less than 0.80, we can conduct a hypothesis test using the sample data.
Null Hypothesis:
The proportion of consumers who bought the detergent because of TV advertisements is 0.80 or higher.
Alternative Hypothesis:
The proportion of consumers who bought the detergent because of TV advertisements is less than 0.80.
We can calculate the test statistic, which is also known as the z-score, using the formula:
test statistic = (sample proportion - hypothesized proportion) / sqrt((hypothesized proportion * (1 - hypothesized proportion)) / sample size)
Using the given information, the sample proportion is 296/400 = 0.74. The hypothesized proportion is 0.80, and the sample size is 400.
Plugging these values into the formula, we get:
test statistic = (0.74 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 400)
Calculating this expression, we find that the test statistic is approximately -5.00.
7/10 = 350/x
Please help cross multiply
Answer:
x=500
Step-by-step explanation:
7/10=350/x
cross-multiply by multiplying 350 to 10 and multiply 7 to x.
example:
7•x
350•10
7x=3500
divide both sides by 7
-------------
x=500
-------------
Maya picks 16 vegetables from her garden.
6 of them are carrots. The rest are cucumbers.
Then she gives away 5 cucumbers.
How many cucumbers does Maya have now?
16 - 6 = 10
10 - 5 = ?
16 + 6 = 22
22 - 5 = ?
16 - 6 = 10
10 + 5 = ?
Answer:
she has 5
Step-by-step explanation:
16 vegetables subtracted by 6 = 10 carrots
10 carrots subtracted by 5 that she gives away = 5 that she has left
La suma de tres términos consecutivos a partir a 55(sin incluirlo) vale 738.Encontrar n
The first of three consecutive terms after 55, which sum up to 738, is found to be 245 by setting up an equation and solving for n.
Explanation:The student's question involves finding a variable, n, which represents the first of three consecutive terms, given that the sum of the three terms is 738 and that the sequence starts with a term after 55.
Let's denote the three consecutive terms as n, n+1, and n+2, where n is the first term that comes after 55. Since the sum of the terms is given as 738, we can formulate the following equation:
\(n + (n+1) + (n+2) = 738\)
Combining like terms, we get:
\(3n + 3 = 738\)
To find n, we'll subtract 3 from both sides of the equation and then divide by 3:
\(3n = 738 - 3\)
\(3n = 735\)
\(n = 245\)
Therefore, the first of the three consecutive terms is 245.
If I sent out 200 letters and got 80 responses. If I want 20 more responses how many more letters do I have to send out
Answer:
Step-by-step explanation:
50
Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured. A different random sample of 1,100 drivers found 96.9% compliance.
(2 Points) State an appropriate null and alternative hypothesis for testing whether or not there is any statistical difference (i.e., a two-sided test) in these two proportions measured initially and then one year later. Conduct the test of hypothesis using a significance level of α= 0.05. Be sure to check the assumptions and conditions for your test. State the P-value of your test and also state your conclusion. (Feel free to use R in showing your work - and show your commands and output if using R.)
(2 points) Develop a 95% confidence interval for the true difference in proportions between the first survey and the second survey and explain what this confidence interval means in context of this problem. (Feel free to use R in showing your work - and show your commands and output if using R.
Answer:
Step-by-step explanation:
* The Null hypothesis was rejected.
* The confidence interval for the true difference in proportions between the first and second survey are:
0.008238357 and 0.003176164 respectively in 95% situations.
Please kindly go through the attached files for a step by step explanation of how these answer are gotten.
If $5958 is invested in an account at 5.9% annual interest compounded quarterly, how much will be in the account in 7 years if no money is withdrawn (Round your answer to the nearest hundredth)?
Answer:
Pretty sure in 7 years with no money withdrawn it would be $8,418.65
Step-by-step explanation:
because you would find out what 5.9% of $5958 which would be $351.522 you get that by multiplying [5958*5.9%=351.522]
Then multiply 351.522 by 7 and you get 2460.654 [351.522*7=2460.654]
Finally you add 2460.654 and 5958 and you get 8418.654 [5958+2460.522=8418.654]
Then you round down .654 and you get [8418.65]
The length of life (in days) of an alkaline battery has an exponential distribution with an average life of 340 days. (Round your answers to three decimal places.) (a) What is the probability that an alkaline battery will fail before 185 days? (b) What is the probability that an alkaline battery will last beyond 2 years? (Use the fact that there are 365 days in one year.)
The probability that an alkaline battery will fail before 185 days is approximately 0.457, or 45.7%. The probability that an alkaline battery will last beyond 2 years is approximately 0.228, or 22.8%.
Explanation:To answer part (a), we need to find the probability that an alkaline battery will fail before 185 days. Since the length of life of an alkaline battery follows an exponential distribution with an average life of 340 days, we can use the formula for the exponential distribution to calculate the probability. The formula is:
P(X < t) = 1 - e^(-t/μ)
Where X is the random variable representing the length of life of the battery, t is the time (in days) we are interested in, and μ is the average life of the battery. Plugging in the values, we have:
P(X < 185) = 1 - e^(-185/340)
Solving this equation gives us a probability of approximately 0.457, or 45.7%.
For part (b), we want to find the probability that an alkaline battery will last beyond 2 years. Since there are 365 days in a year, 2 years is equal to 730 days. Using the same formula as before, we have:
P(X > 730) = 1 - P(X < 730) = 1 - (1 - e^(-730/340))
Solving this equation gives us a probability of approximately 0.228, or 22.8%.
A nonlinear function with at least one term raised to the power of two is known as a a. logarithmic function. b. quadratic function. c. hyperbolic function. d. cubic function.
Answer:
The option b) quadratic function is correctA nonlinear function with at least one term raised to the power of two is known as a quadratic functionStep-by-step explanation:
A nonlinear function with at least one term raised to the power of two is known as a quadratic function
FOR :
A non-linear system of equations is a set of equations where one or more terms have a variable of power two or higher .
In Algebra, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Non-linear functions are all other rest functions with exponent atleast 2.
Hence A nonlinear function with at least one term raised to the power of two is known as a quadratic function
Therefore the option b) quadratic function is correctSeveral years ago, Dirk bought some gold at a price of $710 per ounce. When he went to sell it, the gold was worth 60% more than it was when he purchased it. What was the new value of the gold?
Answer:
$1,136 per ounce.
Step-by-step explanation:
To find the new value of gold, you have to find what 60% of 710 is. You do this by converting 60% into a decimal and multiplying it by 710. This results in 0.6*710. 60% of 710 is 426. 426 + the original price of 710 is equal to 1,136.
You can also solve this problem in a condensed manner by multiplying 710 by 1.6: the 1.0 stands for the original price (710) so you don't have to add it later. The 0.6 stands for the 60% more. Multiplying 710 by 1.6 gets you 1,136, which is the new value of gold/ounce.
The guidance counselor of a large high school reports that 48.5% of Junior Pre-Calculus students signed up to take AP Statistics next year, 52.5% signed up to take AP Calculus next year and 10% of Junior Pre-Calculus students signed up to take both AP Statistics and AP Calculus next year.
If one Junior Pre-Calculus student is selected at random, what is the probability that they did not sign up to take AP Statistics or AP Calculus next year?
(A) 0.09
(B) 0.11
(C) 0.19
(D) 0.91
(E) Not enough information is given to determine the probability
Answer:
A. 0.09
Step-by-step explanation:
A new concert venue just opened in downtown Atlanta and they are in the process of deciding how many tickets they can sell for each show. The venue has three levels, two general admission levels that only have standing room, and one level with 180 seats. The first level of standing room is a square with one side measuring 75’. The second level, also standing room, is a rectangle measuring 130’ by 60’ ft. The third level has 180 seats. The venue thinks each person will occupy 2.25 square feet.
(A) How many tickets should they sell?
Answer:
[tex]6147\:Tickets[/tex]
Step-by-step explanation:
Area of the first level [tex]=75 X 75=5625 \:ft^2[/tex]
Area of the second level [tex]=130 X 60=7800 \:ft^2[/tex]
Total Area of Standing Room [tex]=5625+7800=13425 \:ft^2[/tex]
Since each person will occupy 2.25 square feet.
Number of Persons that will occupy the standing room
[tex]= 13425 \div 2.25\\=5966.7 \approx 5767\:persons[/tex]
Therefore the number of Tickets that should be sold
=Number of seats + Number for standing Room
=180+5967
[tex]\approx 6147\:tickets[/tex]
Therefore, the concert venue should sell 6,147 tickets.
By calculating the total square footage available in the venue, and then dividing by the space each person occupies, it's determined that the venue can sell roughly 6046 tickets per show.
Explanation:The main task is to calculate the total available space, in square feet, in the concert venue. For the standing room areas, we first calculate the total square footage of each level by multiplying the dimensions of each space. For the first level, the area of a square is calculated by squaring the side length, so 75' x 75' = 5625 sq. ft. For the second level, the area of a rectangle is calculated by multiplying the length by the width, so 130' x 60' = 7800 sq. ft. The seated area already specifies the number of people it can accommodate, so no calculation for square footage is needed. Altogether, the venue has 5625 + 7800 + 180 = 13605 sq ft. available.
The next step is to divide the total square footage by the space taken up by each person to find out how many people can be accommodated. We divide 13605 by 2.25, obtaining 6046.67, but since we can't sell a fraction of a ticket, we should round down to the nearest whole number. Therefore, the venue can sell roughly 6046 tickets per show.
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The Tauroto region contains 31 different species of IceCream-type small monsters. Each capture of an IceCream-type small monster has an equal chance of being any of the 31 species. If a collector captures five of these small monsters, what is the probability that they have captured at least two small monsters of the same species?
Answer:
0.28
Explanation:
You can determine the probability of the collector has captured at least two small monsters of the same species is the complent of that all the monsters captured are of different species, i.e. none are of the same species.
The probability than none of the five captured small monsters are of the same species are:
1. Probability than the one monster is of the species One, and the others are not of the species One:
(1/32) × (31/32) × (30/32) × (29/32) × (28/32)2. Probability that the first monster is of the species Two, and the others are not of the species Two:
(1/32) × (31/32) × (30/32) × (29/32) × (28/32)3. Probability that the first monster is of the species Three and the others are not of the same species:
(1/32) × (31/32) × (30/32) × (29/32) × (28/32)4. Inference
As you see you have to do this 32 times, and then add all the equal 32 probabilities, which is
32 × (1/32) × (31/32) × (30/32) × (29/32) × (28/32) = 0.72That is the probability that none of the five small monsters are of the same species. Then, the probability that at leas two small monsters are of the same species is 1 - 0.72 = 0.28
At a candy store, 3 giant lollipops sell for $7.59 and 2 small packets of bubblegum cost $4.82. Which is a better buy?
Find the probability of rolling factors of 8
The probability of rolling a factor of 8 with a six-sided die is 0.5 or 50%, as there are 3 favorable outcomes (1, 2, 4) out of 6 possible outcomes when rolling the die.
Explanation:To find the probability of rolling factors of 8 with a fair, six-sided die, we first need to identify the factors of 8, which are 1, 2, 4, and 8. Of these, only 1, 2, and 4 are possible outcomes on a six-sided die. There are six possible outcomes when rolling a die (1, 2, 3, 4, 5, 6), so the probability of rolling a factor of 8 is the number of favorable outcomes (where the result is a factor of 8) divided by the total number of possible outcomes.
The favorable outcomes for this probability event are {1, 2, 4}, hence there are 3 favorable outcomes. Thus, the probability of rolling a factor of 8 is:
P(rolling a factor of 8) = Number of favorable outcomes / Total number of possible outcomes
P(rolling a factor of 8) = 3 / 6
P(rolling a factor of 8) = 0.5
Therefore, the probability of rolling a factor of 8 is 0.5 or 50%.
(b) 3m - 2n=19
5m + 7n=11
3m-2n=19
5m+7n=11
21m-14n=133
10m+14n=22
Now add equations
31m=155
m=5
Now let's find n
3×5-2n=19
-2n=4
n=-2
Answer: (5; -2)
The question is about solving a system of two linear equations with two variables, m and n, using substitution method. First, solve one of the equations for one variable and substitute this into the other equation. Solve the resulting equation to find the value of one variable and substitute this value into the first equation to find the value of the second variable.
Explanation:The question represents a system of linear equations. Such system contains two equations with two variables, namely m and n. To solve such a system, we can use various methods, such as substitution, elimination, or matrix methods. Let's use the substitution method in this case.
From the first equation, isolate variable m: m = (19 + 2n) / 3. Substitute m into the second equation: 5 * ((19 + 2n) / 3) + 7n = 11. Solve the second equation, you will find the value of n. Substitute the value of n into the first equation to find the value of m. Learn more about System of Linear Equations here:
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Please help me !!☹️❤️
Answer:
(x-10) (x+1) =0
x=10 x=-1
Step-by-step explanation:
x^2 -9x-10 =0
Factor
What two numbers multiply to -10 and add to -9
-10*1 = -10
-10+1=-9
(x-10) (x+1) =0
Using the zero product property
x-10 = 0 x+1=0
x-10+10=0+10 x+1-1=0-1
x=10 x=-1
These are the x intercepts
What is the ratio of our solar system's radius to the Milky Way's radius given that the distance from Pluto to the sun is 5.9 * 10^12 meters; and the Milky Way's disk radius is 3.9 * 10^20 meters. Round the coefficient to the nearest tenth.
Answer:
Just divide the sun-pluto distance by the milky way radius and you get the following ratio:
6.6 x 10^7 : 1
If tan0= 3/4, find csc0
Answer: 5/3
Step-by-step explanation:
This is a trigonometry ratio. Tangent of a right angle triangle
Tan0° = opposite
------------
adjacent.
Now from the question
Tan0° = 3/4 meaning that the opposite side is 3 while the adjacent side is 4. Going by the triple coordinate, when two of the sides of a right angle triangle are, 3 and 4, the third side should be 5, in other words you could as well use the Pythagoras theorem to find the other side which I believed you should be familiar with. Since the third side is known, the cosec could be calculated.
Cosec of an angle =
1/sine. From the question now,
Sine0° = opposite side
-----------------
Hypothesis
= 3/5
Therefore
Cosec0° = 1/3/5
= 1
---
3/5
= 5/3