The maximum amount they can afford to spend on each window is $400
EquationTotal budget = $23,150Amount spent on subbing = $10,350Number of windows = 32Amount spent on each window = x23,150 = 10,350 + 32x
23,150 - 10,350 = 32x
12,800 = 32x
divide both sides by 32x = 12,800 / 32
x = $400
Therefore, the amount spent on each window is $400
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Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh
Answer:
She scored in the 90th percentile.
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.
This means that [tex]\mu = 725, \sigma = 115[/tex]
She must score better than at least 75% of the students who took the test.
So her z-score should have a pvalue of at least 0.75.
Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?
We have to find the pvalue of Z when X = 874.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{874.5 - 725}{115}[/tex]
[tex]Z = 1.3[/tex]
[tex]Z = 1.3[/tex] has a pvalue of 0.9032
She scored in the 90th percentile.
Will Harriet be admitted?
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Write an equation in slope intercept form for the line that passes through (0,4) and is parallel to y=3x-7
if anyone knows the answer
Answer:
C. (x + 8) ( x - 8)
Step-by-step explanation:
x² - 64
= x² - 8²
= (x + 8) ( x - 8)
Hope it will help :)
Which of the following inequalities does the graph represent
Answer:
di KO kaya sorry kahit ako dipa KO talks dyan
I dont understand it
Answer:
30xy
Step-by-step explanation:
I divided this shape into a square and a rectangle.
Solve:
First I multiplied 2x and 3y
2x*3y= 6xy
Then I multiplied 6x and 4y
6x*4y= 24xy
Then I added them together
24xy+6xy= 30xy
Hope this helps!
help math eeekkkkkkk
Answer:
Step-by-step explanation:
The given number line shows the solutions to which inequality?
Answers are
A x+7=<5
Bx+3=>1
Cx-5>2
Dx-1<=
I dont think the answer is b or c
Answer:
the answer is c we just did this in class
Write 45.21% as a decimal
Answer:
.4521
Step-by-step explanation:
when converting a percentage to a decimal you have to move the decimal point over two times to the left. do if you have 100% you moved the decimal point over two and get 1.00
Answer:
0.4521
Step-by-step explanation:
Instead, you can simply multiply a number by 45.21 as a decimal to get the answer.
45.21 percent means 45.21 per hundred. Therefore, to get 45.21 as a decimal, all you have to do is divide 45.21 by 100 like so:
45.21 ÷ 100 = 0.4521
Shortcut: When you divide anything by 100, just move the decimal point two places to the left.
Normally, to calculate 45.21 percent, you would multiply a number by 45.21 percent and then you would take the product of that and divide it by 100 to get the answer.
(hope this helps can i plz have brainlist :D hehe)
3. A game console originally is priced at $120. Demand increases the cost by 75%. What is the new price? Show your work
Answer:
New price = $210
Step-by-step explanation:
Given:
Original price = $120
Increase in cost = 75%
Find:
New price
Computation:
New price = Original price + Increase in cost
New price = 120 + 120(75%)
New price = 120 + 90
New price = $210
If the ratio of AB:BC is 7:4,
what is the length of AB?
If the ratio of AB:AC is 8:7, what is the length of AC?
PLZ HELP
Answer:
The answer will be :-
2. AB = 31.5 in
3. AC = 5.25 in
Change 5 into a rational number a/b
Answer:
[tex]\frac{5}{1}[/tex]
Step-by-step explanation:
I WILL GIVE BRAINLIEST-- Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer
3. The students of Sunshine High School are raising money to
support the sports teams. A local organization donated boxes of
popcorn and candy for the students to sell. The freshmen are selling
boxes of popcorn for $1.50 each, and the sophomores are selling
boxes of candy for $3 each. The students' target is to raise at least
$650. The sophomores expect to sell at most 95 boxes of candy. Let
x represent the number of boxes of popcorn sold and y represent
the number of boxes of candy sold. Which system of inequalities
models the given situation?
A. 1.5x +3y > 650
y < 95
B. 1.5x +3y > 650
y < 95
C.
1.5x +3y < 650
y > 95
D.
1.5x +3y > 650
y < 95
Answer:
1.5x + 3y ≥ 650y ≤ 95Step-by-step explanation:
Boxes of popcorn = x, each cost = $1.50
⇒ total = 1.5xBoxes of candy = y, each cost = $3
⇒ total = 3yTotal money raised, sum of the above two:
1.5x + 3yTarget is to raise at least $650:
1.5x + 3y ≥ 650The sophomores expect to sell at most 95 boxes of candy:
y ≤ 95The system of inequalities:
1.5x + 3y ≥ 650y ≤ 95se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m cual es el area que se va a pintar?
Answer:
El área total a pintar será:
[tex]A_{tot}=25.2\: m^{2}[/tex]
Step-by-step explanation:
Sabiendo el apotema y la longitu de los lados, podemos encontrar el área de un triangulo. Recordemos que, si trazamos rectas del centro del hexágono a los vértices, se formaran 6 triángulos equiláteros.
El área de un triángulo es:
[tex]A_{t1}=\frac{b*a}{2}[/tex]
b es la longitud de la base (b=3 m)
a es la apotema, osea la altura del triangulo (a = 2.8)
[tex]A_{t1}=\frac{2.8*3}{2}[/tex]
[tex]A_{t1}=4.2\: m^{2}[/tex]
Ahora, solo debemos mutiplicar ese valor por 6 para determianr el área total de la pared.
[tex]A_{tot}=25.2\: m^{2}[/tex]
Espero te haya sido util!
For every 4 teaspoons of water is one cup of powder how many cups of powder do I need for 16 teaspoons
Answer:
4
Step-by-step explanation:16 divided y 4 is 4
find all the numbers whose absolute value is -6
Answer:
6
Step-by-step explanation:
:-)
You can afford 1,100 per month monthly mortgage. You've found a 30 year loan at 7% interest.
How much total money will you pay the loan company?
How much of that money is interest?
Real answers only please
Answer:
These days — with conventional mortgage rates running about 4% — a $1,000 monthly Principle & Interest (P&I) payment gets you a 30-year loan of about $210,000. Assuming a 10% downpayment, that's a $235,000 home
i think this is a similar answer please try to answer this question by the help of this...
Plz help me I’m stuck
Answer:
$10.50
Step-by-step explanation:
15% of 70 = $10.50
Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)
Answer: $10
Step-by-step explanation:
15%= 0.15
67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.
While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi
Answer:
9.6 m
Step-by-step explanation:
let 'x' be distance traveled
196 = 3.14(6.5)x
196 = 20.41x
x = 196/20.41
x = 9.6
How many types of congruence criterion are in total.Name them
Answer:
Various types of Congruency are:
1. ASA (Angle Side Angle)
2. SSS (Side Side Side)
3. SAS (Side-Angle-Side)
4. AAS (Angle-Angle-Side)
5. RHS (Right angle-Hypotenuse-Side)
As of what I had learned (class 9) this is all but I am not sure if there are more
Math sucks helppppp pls
Answer:
B
Step-by-step explanation:
Perimeter of the composite shape = ½ of the circumference of a circle + perimeter of a rectangle - Length of the rectangle
= ½*2πr + 2(L + W) - L
Where,
r = 8
π = 3.14
L = 16
W = 12
Perimeter of the composite shape = ½(2*3.14*8) + 2(16 + 12) - 16
= 25.12 + 56 - 16
Perimeter of the composite figure = 65.12 inches
Area of the composite figure = ½(πr²) + L*W
= ½(3.14*8²) + 16*12
= 100.48 + 192
Area = 292.48 square inches
Write the multiples for the
odd numbers between 1 and 10.
Answer:
3, 6, 9
Step-by-step explanation:
10. A can of coconut milk is 12 cm high and 8 cm in diameter. Calculate the volume of the can.
Use 3 as a value for π.
Answer: [tex]384cm^2[/tex]
Step-by-step explanation:
Volume is base* height
the base a the circle
area of a circle: [tex]\pi r^2[/tex]
the radius is 1/2 of the diameter, so it's 4
[tex]3*(4^2)=\\3*16= 48[/tex]
To find the volume I multiplied it by 8 (height)
[tex]48*8=384[/tex]
en una casa construida con madera el tejado se sostiene con una estructura triangular en el que se utilizan ángulos complementarios ¿cómo se construye es estructura?¿qué pares de ángulos son congruentes ? ¿cómo se distribuye la carga que soporta?
Answer:
Si me dieras una imagen con esto, podría responderla fácilmente, pero no hay una imagen o modelo para ayudar a disculparme.
Step-by-step explanation:
lo siento, tal vez vuelva a publicarlo con un modelo o una imagen para que pueda ayudar
please i really need help!!! thnakss
Answer:
The first answer will be 96 batches and the second one will be 0.90 cents per batch
Step-by-step explanation:
Hope this Helped
A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The vet surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The vet then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. Calculate a 90% confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay. Which of the following is correct?
A) [-0.0492, 0.1492]
B) [-0.0332, 0.1332]
C) [0.0199. 0.0801]
D) [0.0428, 0.0572]
Answer: B) [-0.0332,0.1332]
Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.
The confidence interval for a difference in population proportion is calculated following these steps:
First, let's find population proportion for each population:
[tex]p_{1}=\frac{30}{120}=0.25[/tex]
[tex]p_{2}=\frac{32}{160}=0.2[/tex]
Second, calculate standard deviation for each proportion:
[tex]\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395[/tex]
[tex]\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316[/tex]
Now, we calculate standard error for difference:
[tex]SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}[/tex]
[tex]SE=\sqrt{0.0395^{2}+0.0316^{2}}[/tex]
SE = 0.0505
The z-score for a 90% CI is 1.645.
Then, confidence interval is
[tex]p_{1}-p_{2}[/tex] ± z-score.SE
[tex]0.25-0.2[/tex] ± [tex]1.645(0.0505)[/tex]
0.05 ± 0.0831
The limits of this interval are:
inferior: 0.05 - 0.0831 = [tex]-0.0332[/tex]
superior: 0.05 + 0.0831 = 0.1332
The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is [tex][-0.0332,0.1332][/tex].
Please help. I hope u r all safe. Please help thanks so much.
Answer:
189.3 cm^2
Step-by-step explanation:
split into a rectangle and a semi-circle
rectangle=LxW=10x15=150 cm^2
radius (r)=1/2 diameter=5 cm
semi-circle=1/2(pi)r^2=1/2(3.14)(5^2)=39.25 cm^2
150+39.25=189.25 cm^2
A train travels 4.4 miles in
4 minutes. At this rate, how many miles will it
travel in 58 minutes?
Answer:
63.8 miles
Step-by-step explanation:
If the train travels 4.4 miles in 4 minutes, then you have to divide 4.4/4 to find the miles the train travels per minute.
4.4/4 = 1.1
So, since the train travels 1.1 miles per minute, and we want to know how fast it travels in 58 minutes, we have to multiply 1.1 by 58. Since 1.1 is a decimal number, we have to multiply both sides by 10 to get 11x580.
11x580 = 5800+ 580 = 6380
Since we multiplied both numbers by 10, we have to divide 6380 by 100.
6380/100 = 63.8
So, the train travels 63.8 miles in 58 minutes.
which equation is equivalent to
y + 2(x + 5) = 4x + 5
a) y = 2x + 20
b) y = -4x + 5
c) y = 2x - 5
d) y = 5x + 2
Answer:
C
Step-by-step explanation:
y + 2x + 10 = 4x + 5
y = 4x - 2x + 5 - 10
y = 2x - 5
Answer- C
what is the value of h
Answer:
h = 5.318 m
Step-by-step explanation:
6.5/11 = h/9
0.5909 = h/9
h = 5.318
Answer:
Height: 5.32
Step-by-step explanation:
Area=29.24
Heron's Formula