A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?

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].

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.

Answer:

-5/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-2)/(3-(-4))

m=-5/(3+4)

m=-5/7

Answer:

Proved

Step-by-step explanation:

Given

The attached table

Required

Prove that Lydia is incorrect

Firat, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (5,19)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

So, we have:

[tex]m = \frac{15 - 19}{4 - 5}[/tex]

[tex]m = \frac{-4}{-1}[/tex]

[tex]m=4[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x-x_1)[/tex]

Where:

[tex](x_1,y_1) = (5,19)[/tex] and [tex]m=4[/tex]

This gives:

[tex]y - 19 = 4(x-5)[/tex]

[tex]y - 19 = 4x-20[/tex]

Make y the subject

[tex]y = 4x-20+19[/tex]

[tex]y = 4x-1[/tex]

The above shows the equation. Hence, the Lydia is correct

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

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

Answer:

1/8

Step-by-step explanation:

What we wanna do first is make all denominators the same. Multiply 3/4 by 2/2 and 1/2 by 4/4. This will get you 6/8 and 4/8. Now we have all the fractions:

6/8. 4/8, 7/8

We know Jack ate 7/8 of his pizza, so there's 1/8 pizza left for him.

Luis ate 3/4, which became 6/8, so there's 2/8 of pizza left.

Tyrone ate 1/2 of his pizza, which is 4/8, so there is 4/8 left.

Add: 1/8 + 2/8 + 4/8 = 7/8

This means that there is 1/8 slice left because 7/8 of the whole pizza was eaten.

Answer:

an irrational number

Step-by-step explanation:

Answer:

frequency= 165Hz

period= [tex]\frac{1}{165}[/tex]

Step-by-step explanation:

1. To calculate the frequency using the formula:

f = v/λ

where,

f=frequency (what the question asked)

v=speed of wave (given in the question=330m/s)

λ=wavelength (given in the question=2m)

SO,

[tex]f=\frac{330}{2}[/tex]

= 165Hz

2. To calculate the period use the formula:

since [tex]f=\frac{1}{T}[/tex]

therefore, [tex]T=\frac{1}{f}[/tex]

where,

f= frequency (what we solved above=165Hz)

T= period (what the question asked)

SO,

[tex]T=\frac{1}{165}[/tex]

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)

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.

Answer:

75.36 inches

Step-by-step explanation:

C = π·d

C = 3.14(24)

C = 75.36

Answer:

C. (x + 8) ( x - 8)

Step-by-step explanation:

x² - 64

= x² - 8²

= (x + 8) ( x - 8)

Hope it will help :)

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...

Answer:

45

Step-by-step explanation:

8 - 16 + 48 + 5

-8 + 48 + 5 =

40 + 5 =

45

Hope that helps!

Answer:

Step-by-step explanation:

Boxes of popcorn = x, each cost =  $1.50

Boxes of candy = y, each cost = $3

Total money raised, sum of the above two:

Target is to raise at least $650:

The sophomores expect to sell at most 95 boxes of candy:

The system of inequalities:

Step-by-step explanation:

Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.

Answer:

Escribir cada expresión en términos de seno. 2. Escribir cada expresión en términos de coseno . 3. Expresar la función dada en términos de la función que se indica en cada literal. 4. Utilizar las identidades fundamentales para escribir una expresión equivalente a la expresión dada. Luego, simplificar. 5. Factorizar las siguientes ...

Step-by-step explanation:

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

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]

Answer:

4

Step-by-step explanation:16 divided y 4 is 4

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

Answer:

6

Step-by-step explanation:

:-)

Answer:

3, 6, 9

Step-by-step explanation:

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