Answer:
$3.1
Step-by-step explanation:
7.75/2.5 = 3.1
Answer:3.1
Step-by-step explanation:
7.75/2.5=3.1
(3x+5) is a factor of the polynomial (a-1)x^3 + (a+1)x^2 - (2a + 1)x - 15. Find the value of 'a'. For this value of 'a', factorize the given expression completely.
Answer:
(3x + 5)(x + √3)(x - √3)
Answer:
a = 4
Step-by-step explanation:
(3x+5) is a factor of the polynomial (a-1)x³ + (a+1)x² - (2a + 1)x - 15
Means x = -5/3 is a root
(a-1)(-5/3)³ + (a+1)(-5/3)² - (2a + 1)(-5/3) - 15 = 0
-125a/27 + 125/27 + 25a/9 + 25/9 + 10a/3 + 5/3 - 15 = 0
a(-125/27 + 25/9 + 10/3) = 15 - 5/3 - 25/9 - 125/27
a(40/27) = 160/27
a = 4
The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the boys in school A and the boys in school B is 1:3 and the ratio of the girls in school A and the girls in school B is 3:5. The number of boys in school B is 200 higher than the number of boys in school A. Find the number of boys and girls in each school.
Answer:
There are 100 boys and 300 girls in School A and there are 300 boys and 500 girls in School B .
Step-by-step explanation:
The ratio of the boys in school A and the boys in school B is 1:3
Let the ratio be x
No. of boys in School A = x
No. of boys in School B = 3x
We are given that The number of boys in school B is 200 higher than the number of boys in school A.
So,[tex]x+200=3x[/tex]
[tex]200=3x-x[/tex]
[tex]200=2x[/tex]
[tex]\frac{200}{2}=x[/tex]
100=x
So, No. of boys in School A = x = 100
No. of boys in School B = 3x =3(100)=300
We are given that the ratio of the girls in school A and the girls in school B is 3:5.
Let the ratio be y
So, No. of girls in School A = 3y
No. of girls in School B = 5y
So, Total No. of students in School A= No. of boys in school A + No. of girls in school A=100+3y
Total No. of students in School B= No. of boys in school B + No. of girls in school B=300+5y
We are given that The number of pupils in school A is equal to half the number of pupils in school B.
So, [tex]100+3y=\frac{1}{2}(300+5y)[/tex]
[tex]200+6y=300+5y[/tex]
[tex]y=100[/tex]
No. of girls in School A = 3y=3(100)=300
No. of girls in School B = 5y=5(100)=500
Hence there are 100 boys and 300 girls in School A and there are 300 boys and 500 girls in School B .
Answer: 100 boys, 300 girls in School A. 300 boys,500 girls in School B
Step-by-step explanation:
If the probability that it will rain tomorrow is 15, what is the probability that it will not rain tomorrow?
A .45
B .35
C .25
D .210
What is the surface area of the triangular pyramid shown? Round to the nearest tenth.
5.2
[Not drawn to scale]
A. 57.6
B. 69.6
C. 73.2
D. 87.6
Answer:
A. 57.6
Step-by-step explanation:
6 times 5.2 is 31.2. 4 times 5 is 20. 6 times 5 is 30. 6 times 5 is 30. (31.2/2)+(20/2)+30= 55.6 Then you round nearest tenth. 57.6.
Answer:
Aa 57.6
Step-by-step explanation:
It is correct
correct on E D G E N U I T Y
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At α= 0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed.
Burger Stop: mean = $8.88, standard deviation = $0.82, sample size = 17
Fry World: mean = $8.25, standard deviation = $0.72, sample size = 8
Identify the claim and state H0 and Ha. Which is the correct claim below?
A. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World."
B. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World."
C. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World."
D. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop."
Answer: Option "B" is correct.
Step-by-step explanation:
Since we have given that
α= 0.10
Let the population variances are equal and samples are random and independent.
Let [tex]\bar{x}[/tex] be the mean amount spent by a customer at Burger Stop.
Let [tex]\mu[/tex] be the mean amount spent by customer at Fry World.
So, it has given that
the mean amount is spent by a customer at Burger stop is greater than the mean amount spent by a customer at Fry World.
So, Hypothesis would be :
[tex]H_0:\bar{x}=\mu\\\\H_1:\bar{x}>\mu[/tex]
Hence, Option "B" is correct.
Use properties of rational number to simplify the expression.
A.)129/7
B.)262/15
C.)122/7
D.)507/28
Answer:
A.)129/7
Step-by-step explanation:
25/4 + 24/7 + 35/4
I will add the two with common denominator together first
25/4 + 35/4 +24/7
60/4 +24/7
15 + 24/7
We need to get a common denominator of 7
15 *7/7 + 24/7
105/7 + 24/7
129/7
The fraction
17
100
can be written as which decimal?
Answer:
.17
Step-by-step explanation:divide 17 by 100 hope this helps god bless
Answer:
0.17
Step-by-step explanation:
A projectile is fired straight upward with an initial velocity of 400 feet per second. The height of the projectile, h(t), if represented by the function h(t)=-16t^2+400t, where t is the time in seconds. How long does it take the projectile to reach the maximum height?
Taking into account the definition of maximum, minimum and vertex of a quadratic function, it takes 12.5 seconds for the projectile to reach maximum height.
A quadratic function is defined in the form:
y= f (x) = ax² + bx + c
Every quadratic function has a maximum or a minimum, which is the vertex of the parabola. If the parabola has an upward concavity, the vertex corresponds to a minimum of the function; whereas if the parabola has concavity downwards, the vertex will be a maximum.
That is, if the coefficient a is positive the parabola is concave and the vertex will be a minimum of the function, while if a is negative the parabola will be convex and the vertex is a maximum.
The maximum or minimum is reached in [tex]xv=\frac{-b}{2a}[/tex]
The maximum or minimum value of y is obtained by evaluating the function at xv, this is, f (xv).
In this case, the function is:
h(t)= -16t² + 400t
where t is the time in seconds
Being a = -16 and b = 400, the value of a is negative, so the vertex will be the maximum.
You want to know the time it takes for the projectile to reach the maximum height, that is, the maximum in t. That is, you must calculate t using the expression: [tex]t=\frac{-b}{2a}[/tex]
So: [tex]t=\frac{-400}{2x(-16)}[/tex]
Solving:
[tex]t=\frac{-400}{-32}[/tex]
t= 12.5 seconds
It takes 12.5 seconds for the projectile to reach maximum height.
Learn more about cuadratic function with this examples:
https://brainly.com/question/17096336?referrer=searchResultshttps://brainly.com/question/10465771?referrer=searchResultshttps://brainly.com/question/19725910?referrer=searchResultshttps://brainly.com/question/268775?referrer=searchResultsPlace each of the key aspects under the function it describes.
range: 1 y 2 0}
h(x) = (x - 1)2
g(x) = -(x + 1)(x - 1)
decreasing over (-0, 1)
increasing over (-0,0)
range: [yl y s 1)
increasing over (1.c)
decreasing over (0,)
The functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a function:
h(x) = (x - 1)²
The range of the function:
y ≥ 0
The function increases over the interval (1, ∞)
The function decreases over the interval (-∞, 1)
g(x) = -(x + 1)(x -1)
The range of the function:
y ≤ 1
The function increases over the interval (-∞, 0)
The function decreases over the interval (0, ∞)
Thus, the functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Really need to know this for math!
Which number represents 10. Helpful if you answer all the rest ASAP
Answer:
I had to look up the problem B4 because your image doesn't show the rest of the information
B4 = 12
B5 = 1,738
Step-by-step explanation:
if you need help on any other questions on this, i can't see them in the image
Using only addition, how do you add eight 8’s and get the number 1000?
Answer: 888+88+8+8+8 = 1,000
Step-by-step explanation: First of all line all your eights' up and then split them
To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200.
Explanation:To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200. Here's how:
Add three 8's to get 24.Then, add four 8's to get 32.Now, you have 24 and 32, which add up to 56. Finally, add 800 and 200, which equals 1000.
Learn more about Addition here:https://brainly.com/question/40265821
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A triangle has sides of 15 and 27. The measurement of the longest side is missing.
Ted says that one possibility for the unknown side length is 40. Do you agree with Ted? Why or why not?
Answer:
Step-by-step explanation:No if you use soh cah toa
I need help asap )/)/)/)
Answer:
$49.20
Step-by-step explanation:
Use the formula to find the lateral area and surface area of prism
Answer:
The answer to your question is 2046 in²
Step-by-step explanation:
Data
length = 30 in
base = 24 in
hypotenuse = 25 in
Process
1.- Calculate the height of the triangle using the Pythagorean theorem
c² = a² + b²
-Solve for b
b² = c² - a²
-Substitution
b² = 25² - 24²
-Simplification
b² = 625 - 576
-Result
b² = 49
b = 7 in
2.- Calculate the area of the base
Area = base x height
Area = 24 x 7 x 2
= 336 in²
3.- Calculate the lateral area
Area = 30 x 25 x2
= 1500 in²
4.- Calculate the last area
Area = 30 x 7
= 210
5.- Final area
Total area = 210 + 1500 + 336
= 2046 in²
Huma hubna and seema recieved a total of rs 2016 as monthly allowance from their mother such that seema gets 1/2 og what huma gets and hubna gets 1 2/3 times seemas share how much do the three sisters get individually
Answer:
huma's share= Rs.864
Seema's share= Rs.432
Hubna's share= Rs.720
Step-by-step explanation:
Considering 'x' as the share of huma
Therefore , Seema's share will be x/2
And Hubna's share will be 5/3 * x/2 => 5x/6
Total money given in the problem is Rs.2016
In order to find the share of individual, we first have to determine 'x' variable by taking the sum of all shares.
x+x/2+5x/6=Rs.2016
(6x+3x+5x)/6=2016
14x/6=2016
x=2016 * 6/14
x=864.
Therefore,huma's share 'x' will be Rs.864
Seema's share will be = x/2 = Rs.432
And Hubna's share will be = 5x/6= Rs.720
What is the answer to this? I need help :(.
Answer:
Not proportional
Step-by-step explanation:
Hope it helps you in your learning process.
[tex] \frac{6}{6}=1\\\\
\frac{8}{24}= \frac{1}{3}\\\\
\frac{10}{50}= \frac{1}{5}\\\\
\frac{12}{84}= \frac{1}{7}\\\\
\therefore \frac{6}{6}\neq \frac{8}{24}\neq \frac{10}{50}\neq \frac{12}{84}[/tex]
Hence, given ratios are not proportional.
Parking at a university has become a problem. University administrators are interested in determining the average time it takes a student to find a parking spot. An administrator inconspicuously followed 240 students and recorded how long it took each of them to find a parking spot. Identify the population of interest to the university administration.
Answer:
In this particular case,the target population of interest to the university administration constitutes the university students.Step-by-step explanation:
The university administration is interested to conduct a statistical study to identify the average or mean time taken by the students to find a vacant parking spot.Therefore,the research topic here is the average time taken by the university students to find parking spot. The administrator collects an inconspicuous sample of 240 samples from the target population of the study,which is the overall student population of the university.The sample collected by the university administration is used to observe the average or mean parking time by the university students.Which animal shelter has the dog that weighs the least?
A)- shelter A
B)- shelter B
C)- Both shelters have a dog with the lowest weight of 8 pounds.
D)- Both shelters have a dog with the lowest weight of 10 pounds.
WILL GIVE BRAINLIEST ANSWER IF YOU ANSWER RIGHT!!!
Answer:
A_A_A_A_A_A_A_A_A_A_A_A_A_A_Step-by-step explanation:
on the box chart it shows that shelter A has the lightest dog
hope i helped :D
Answer:
shelter A. shelter B. Both shelters have a dog with the lowest weight of 8 pounds.
Step-by-step explanation:
Hope this helps :)
Is 3√124 the same as 6√31?
Answer:
Yes
Step-by-step explanation:
[tex]3\sqrt{124} = 3\sqrt{4} \sqrt{31} \\\sqrt{4} = 2\\ 3*2\sqrt{31}=6\sqrt{31}[/tex]
hellplppppppp800x40÷80=
Answer:
400
Step-by-step explanation:
Answer:
800*400/80=400
Step-by-step explanation:
To work this out you would first start with 40/80. This is because when using BODMAS / BIDMAS you would start with whatever operation that comes first out of all the operations in the question. This gives you 0.5. Then you would multiply 0.5 by 800, this gives you 400.
1) Find what operation you should do first.
B- Brackets
O -Orders
D-Division
M-Multiplication
A-Addition
S-Subtraction
2) Divide 40 by 80.
[tex]40/80=0.5[/tex]
3) Multiply 0.5 by 800.
[tex]0.5*800=400[/tex]
what the volume is of this solid
Answer:
336.
Step-by-step explanation:
8 x 7 x 6 = 336.
Feel free to let me know if you need more help! :)
x² +10x+3=0
how do I slove it with the quadratic formula?
Answer:
Step-by-step explanation:
The equation is already in standard form [ ax² + bx + c = y ] so we can find the values of each variable.
a = 1
b = 10
c = 3
y = 0
Quadratic formula: [tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
Solve using the formula:
[tex]x=\frac{-10+-\sqrt{10^2-4(1)(3)} }{2(1)}[/tex]
[tex]x=\frac{-10+-\sqrt{100 - 12} }{2}[/tex]
[tex]x=\frac{-10+-\sqrt{88} }{2}[/tex]
[tex]x=-5+-\sqrt{22}[/tex]
Therefore, the answer is [ x = -5 ± √22 ]
Best of Luck!
You pick a card at random .without putting the first card back you pick a second card at random what is the probability of picking a 4 and then picking 4
Answer:
For on it depends on how many cards you have and how many 4's there are
Step-by-step explanation:
So say you had 16 cards and 3 of them were 4 the probability of you picking a 4 is 3 of 16.
Final answer:
The probability of drawing a 4 and then another 4 in sequence without replacement from a 52-card deck is 1/221, calculated by multiplying the probabilities of drawing a four on the first and second draws, 1/13 and 1/17, respective
Explanation:
The question involves calculating the probability of drawing two specific cards in sequence without replacement from a standard deck of 52 cards. The condition provided is drawing a 4 first and then drawing another 4 without putting the first card back. To solve this, consider the probability of each event happening.
For the first draw, there are 4 fours in a deck of 52 cards, so the probability of drawing a four (P(A)) is 4/52 or 1/13.
After drawing one four and not returning it, there are now 51 cards left and only 3 fours left. Therefore, the probability of drawing a four as the second card (P(B) given A) is 3/51 or 1/17.
To find the total probability of both events happening in sequence, multiply the probabilities of the individual events: 1/13 * 1/17.
Thus, the probability of drawing a 4 and then another 4 in sequence without replacement is 1/221.
3. The annual per capita consumption of fresh bananas in the United States can be approximated by a normal distribution, with a mean of 10.4 pounds and a standard deviation of 3 pounds. What is the largest annual per capita consumption of bananas that can be in the bottom 5 % of consumption
Answer:
The largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb
Step-by-step explanation:
Given
μ = Mean = 10.4 lb
σ = Standard deviation = 3 lb
Using a confidence level of 90%,
We'll need to first determine the z value that correspond with bottom 5% of consumption of banana
α = 5%
α = 0.05
So,
zα = z(0.05)
z(0.05) = -1.645 ----- From z table
Let x represent the largest annual per capita consumption of bananas
The relationship between x and z is
x = μ + zσ
By substitution;
x = 10.4 + (-1.645) * 3
x = 10.4 - 4.935
x = 5.465
Hence, the largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb
Brianna has 6 bags of soil. Filling one flowerpot requires
1
3
of a bag of soil. How many flowerpots can be filled with these 6 bags?
Answer:
18
Step-by-step explanation:
6*3=18
Answer: 18
Step-by-step explanation: It's easy, you have to divide in order to get 18.
Which one is bigger 4.5 kg or 4.050
Answer:
4.5 kg
Step-by-step explanation: if you have 4.050 take off the zero and it is only 4.05 which is less then 4.5 or 4.50
Final answer:
When comparing 4.5 kg to 4.050 kg, 4.5 kg is the larger weight since both are in kilograms and 4.5 is greater than 4.050.
Explanation:
The question asks which number is larger, 4.5 kg or 4.050 kg. In the metric system, weights are compared directly as they are expressed in the same units. Here, we compare 4.5 to 4.050. Since 4.5 can also be thought of as 4.500 when considering the decimal places, it becomes clear that 4.5 kg is the larger value because both represent kilograms, and 4.5 is greater than 4.050.
Can repeating decimals be written as a fraction?
Answer:
yea i think yea yes yes yes yes
Final answer:
Yes, repeating decimals can be expressed as fractions using a simple algebraic equation.
Explanation:
Yes, repeating decimals can be expressed as fractions. To represent a repeating decimal as a fraction, you can use a simple algebraic equation. Let's take an example:
Consider the repeating decimal 0.3333... Now, let x be the number we want to express as a fraction. We can multiply both sides of the equation by 10 in order to move the decimal point to the right and eliminate the repeating part:
x = 0.3333...
10x = 3.3333...
Now, we subtract the two equations to eliminate the repeating part:
10x - x = 3.3333... - 0.3333...
Combining like terms:
9x = 3
Finally, dividing by 9 gives us the fraction representation of the repeating decimal:
x = 3/9 = 1/3
Charlie has 7 cards, numbered 2, 3, 4, 5, 6, 7, 8, 9. What is the probability of picking an odd card? Give your answer as a fraction, a decimal, and a percent. Round to the nearest hundredth.
There are 4 out of the 7 cards that are odd numbers.
As a fraction: 4/7
As a percent: 57.14%
As a decimal: 0.57
Marta and Kim are sisters. Five years ago Kim's age was twice as great as martas age. If Marta is no m years old, what expression represents Kim's age now?
Answer:
y = 2m-5
Kim's age now is y = 2m-5
Step-by-step explanation:
Let m represent martas age now and y represent Kim's age now
Given;
Five years ago Kim's age was twice as great as martas age.
(y-5) = 2(m-5)
Solving for y;
y-5 = 2m-10
y = 2m-10+5
y = 2m-5
Kim's age now is y = 2m-5
Final answer:
Kim's current age is represented by the expression 2m - 5, where m is Marta's current age. This is determined by considering the age difference and relationship of their ages five years ago.
Explanation:
The question is about determining Kim's current age given that Marta is currently m years old and five years ago Kim's age was twice that of Marta's. To solve this, we can follow these steps:
Let's represent Marta's age five years ago as m - 5.
Since Kim's age was twice Marta's age five years ago, we express Kim's age at that time as 2(m - 5).
To find Kim's current age, we add five years to her age at that time: 2(m - 5) + 5.
Simplifying the expression gives us Kim's current age as 2m - 5.
Therefore, the expression that represents Kim's age now, given that Marta is m years old, is 2m - 5.
find an angle in the normal range (0 degrees to 360 degrees, or 0 to 2pi radians) whose terminal side points in the same direction as the terminal side of an angle measuring -11pi/3.
Answer:
a) pi/3
Step-by-step explanation:
-11pi/3 + 4pi
(-11+12)pi/3
pi/3
Answer:
A
Step-by-step explanation:
We see that the angle is -11[tex]\pi[/tex]/3, which means that when drawing this angle on the graph, we need to move clockwise from 0 (see the drawing).
We see that this angle is actually the exact same as an angle in the first quadrant. This angle is [tex]\pi[/tex]/3.
Thus, the answer is A.
Hope this helps!