The scale model of a building is 5.4 feet tall.

A. If the
original building is 810 meters tall, what was the scale used to
make the model?

B. If the model is made out
of tiny bricks each measuring 0.4 inch in
height, how many bricks tall is the model?

Answer:

The minimum number of people over age 45 they must include in their sample is 305.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 0.6 liters

This means that [tex]\sigma = 0.6[/tex]

What is the minimum number of people over age 45 they must include in their sample?

This is n for which M = 0.08. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.08 = 2.327\frac{0.6}{\sqrt{n}}[/tex]

[tex]0.08\sqrt{n} = 2.327*0.6[/tex]

[tex]\sqrt{n} = \frac{2.327*0.6}{0.08}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*0.6}{0.08})^2[/tex]

[tex]n = 304.6[/tex]

Rounding up:

The minimum number of people over age 45 they must include in their sample is 305.

Answer:

increase = 37.38 cm²

You'd like the first way because it took less effort and less chance of a miscalculation.

Step-by-step explanation:

first way:

(just work with the difference in height)

(0.7 x 8.7 x 2) + (0.7 x 18 x 2) = 37.38 cm²

second way:

old total lateral surface area = (31 x 8.7 x 2) + (31 x 18 x 2) = 1655.4

new total lateral surface area = (31.7 x 8.7 x 2) + (31.7 x 18 x 2) = 1692.78

increase = 1692.78 - 1655.4 = 37.38 cm²

Answer:37.38cm2

Step-by-step explanation:

Answer:

B. 2x - 3

Step-by-step explanation:

[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]

[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]

[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]

Answer:

[tex]\tt{}2x - 3[/tex]

Step-by-step explanation:

[tex] \tt{} \frac{(14 {x}^{2} - 27x + 9) }{(7x - 3)} [/tex]

[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]

[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]

[tex]\tt{}2x - 3[/tex]

Answer:

Given polynomial

x⁵-8x⁴+8x-64= x⁴(x-8)+8(x-8)= (x-8)(x⁴+8)

after factorization of the given polynomial we didn't get any factor (x+8) , hence the following bionomial is not the factor of the polynomial.

Answer:

B. They must bisect each other

Step-by-step explanation:

Found the answer on quizziz

375 is the ansewer   wwrhttttttttttttttttttt

Answer:

25

Step-by-step explanation:

Answer:

r+r+r+r=4r

r+3r+2=4r+2

Step-by-step explanation:

1. r+r+r+r

 r+r+r+r

=(r+r)+(r+r) ⇔ Group two together

=2r+2r ⇔ Simplify

=4r

2. r+3r+2

 r+3r+2

=4r+2

Hope this helps!! :)

Please let me know if you have any quesitons

Answer:

8r+2

Step-by-step explanation:

Answer:

The lateral area will be "381 yd²". A further solution is provided below.

Step-by-step explanation:

The given values are:

Radius of cone,

r = 10 yd

Height of cone,

L = 12.1 yd

As we know,

The lateral surface area of cone is:

=  [tex]\pi r L[/tex]

On substituting the values, we get

=  [tex]\frac{22}{7}\times 10\times 12.1[/tex]

=  [tex]\frac{22}{7}\times 121[/tex]

=  [tex]380.28 \ yd^2[/tex]

0r,

=  [tex]381 \ yd^2[/tex]

Answer:

The constant of variation k is 6 and the value of x is 4.

Step-by-step explanation:

What is constant of variation?

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.

What is direct variation?

A direct variation is a proportionality relationship in which two quantities follow a direct relationship.

What is inverse variation?

Inverse variation states when one variable increases then the other variable decreases.

Given,

y=14 when x=7 and z=3

The variation equation is,

y=kx/z

Inputting the values,

14=(k*7)/3

14*3=7*k

42=7k

k=6

When y=3, z=8 we will find x.

y=kx/z

3=6*x/8

3*8=6*x

x=24/6

x=4

Hence, the value is 4.

To know more about constant of variation, direct variation, inverse variation here

https://brainly.com/question/11733777

#SPJ2

Answer:

so fun and amazing!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

5/8 of 32

5/8×32=20

remember of means multiply

HOPE THIS HELP YOU HAVE A NICE DAY OR NIGHT

Answer:

Step-by-step explanation:

2/10

Answer:

WHY YOU ARE ALWAYS SAY THAT CAN YOU WHOLE QUESTION..

Answer:

X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.

Step-by-step explanation:

Hope this helps

Answer:

0.9728

Step-by-step explanation:

We have 2 options for the system to fail - no components work, or only one works.

The probability that no components work is:

[tex]0.2^4 = 0.0016[/tex]

The probability that one SPECIFIC component works and the others failed is:

[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]

And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:

[tex]4 \cdot 0.0064 = 0.0256[/tex]

So we sum the probabilities:

[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]

Li Ming can paint the whole house in 10 hours

Answer:

I:23/48

ii 25/48

Step-by-step explanation:

30min=0.5hr

total time exercised: 11+0.5=11.5hr

Divided by total hours of a day:

11.5/24=115/240=23/48

ii:(48-23)/48

Answer:

a)  i. The z-test statistic will be close to 0, as the sample mean and the tested proportion are expected to be close values.

b)  ii. The p-value will not be small, as the z-statistic is close to 0.

Step-by-step explanation:

The null hypothesis is p = 0.20

The teacher carries out a hypothesis test to determine whether the student was just guessing.

Test if the proportion is different from 0.2. So the alternate hypothesis is:

[tex]H_{a}: p \neq 0.2[/tex]

Five choices for each question, one of which is correct.

Probability of having a correct answer is [tex]X = \frac{1}{5} = 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

a. Which of the following describes the value of the z-test statistic that is likely to result?

In this question, [tex]X = p = \mu[/tex], which meas that the numerator of the z-statistic will be close to 0, which means that the z-test statistic will be close to 0.

b. Which of the following describes the p-value that is likely to result?

pvalue is 2 multiplied by the pvalue of Z(if negative), or 1 subtracted by the pvalue of Z(if positive).

Since the value of Z is close to 0, either the pvalue of Z or 1 subtracted by the pvalue of Z is close to 0.5, and multiplied by 2 will be close to 1. So, as Z is close to 0, the pvalue will not be small.

Answer:

Step-by-step explanation:

Degree means highest exponent.  got it?

you first substitute your values t and r ...Use BODMAS method ...Your final answer must be 51

Answer: 7.527 oz

Step-by-step explanation: 78%= 0.78

Mass of gold is 0.78 · 9.65 oz = 7.527 oz

6,000$

if the answer is wrong i am sorry :(

Answer:

$510

Step-by-step explanation:

Answer:

6 x 2 = 12 then add 5, answer is 17

Answer:

1/6 + 1/2 = 2/3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

brainliest?