Lester made a scale drawing of a house. The scale he used was 1 inch : 2 feet. In the drawing, the hall closet is 3 inches long. What is the length of the actual closet?

Answer:

Is there an image? I cant figure it out without the image

Step-by-step explanation:

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

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Answer:

NO, it does not.

Step-by-step explanation:

From the information provided, we know that the surveying method for the polling depends on the no. of calls got on the two sorts of 900 phone numbers.  

This surveying strategy doesn't address a random sample in light of the fact that the viewers who see the show can be restricted. Additionally, among the viewers of the show, the reactions depend on viewers who intentionally approach to offer or air their opinion. Therefore, the acquired sample doesn't address a random sample and specifically, we can posit that the sample occurs to be a voluntary sample.

Answer:

D. 158.4 km²

Step-by-step explanation:

Area of sector = θ/360 * πr²

Where,

θ = 150°

r = 11 km

Substitute

Area = 150/360 * π * 11²

Area = 158.38863 ≈ 158.4 km² (nearest tenth)

Answer:

B

Step-by-step explanation:

brainliest?

Answer:

V =1884 in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = pi ( 10) ^2 * 6

V = pi ( 600) in^3

Using 3.14  for pi

V = 3.14 * 600 in ^3

V =1884 in ^3

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]

Answer:

B

Step-by-step explanation:

180 - 100 = 80

80 = 30 = 110

180 - 110 = 70

Answer:

B

Step-by-step explanation:

100-30=70° Remeber this is a right triangle

Answer:

2 1/5 + 6 4/5

= 2/5 + 24/5

= 26/5

= 5.2

Answer:

[tex]8\frac{5}{10}[/tex]

Step-by-step explanation:

[tex]2 + 6 = 8\\\frac{1}{5} + \frac{4}{5} = \frac{5}{10}[/tex]

Let me know if this helps!

Answer:

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

Answer:

1/6 + 1/2 = 2/3

Step-by-step explanation:

Answer:

so fun and amazing!

Step-by-step explanation:

What you're looking at in this image are two alternate exterior angles.

Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.

There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.

So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:

5x + 20 = 3x + 60

Subtract 20 from both sides:

5x + 20 - 20 = 3x + 60 - 20

5x = 3x + 40

Subtract 3x from both sides:

5x - 3x = 3x - 3x + 40

2x = 40

x = 20

If you have any questions on how I got to the answer, just ask!

- breezyツ

Answer:

329,200

Step-by-step explanation:

Answer:

329,200

Step-by-step explanation:

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:

$9

Step-by-step explanation:

Answer:

a) 3sec

b) highest point of 50

c) at 0 by 8 sec

Answer:

Step-by-step explanation:

2/10

Answer:

8mph

Step-by-step explanation:

I just answered the question

Answer:

(0,4)

Step-by-step explanation:

The given equations are :

3y = 6x + 12  

2x - y = -4

If (-3,2) be the solution of the above equations,

3(2) = 6(-3) + 12

6 = -18+12

6≠ -6  

2x - y = -4

2(2) -(-3) =-4

4+7 = -4

11 ≠ -4

No, (-3,2) is not the solution.

Similarly, put (0,4) in the abve equations,

3(4) = 6(0) + 12

12 = 12

and

2(0) - 4 = -4

-4 = -4

Hence, (0,4) is a solution of the given equations.

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:

Take whatever amount of miles Sammy and Tanya drive and add them

Step-by-step explanation:

I don't have many numbers to work with so my equations are:

14 x (1 day of driving miles amount) = a

A x 2 = your answer

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: 117

Step-by-step explanation:

first comment on first response!!! Thank you btwww!

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:

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