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3 years ago

Find the scale figure from A to B.

Mathematics

1 answer:

Lesechka [4]3 years ago

8 0

Answer:

The scale factor is 4/3 or 1.333...

Step-by-step explanation:

We're trying to find how can A go to B

Example: 16 --> 12

16 Divided by 12 = 4/3

$\frac{16}{1}$ ÷ $\frac{12}{1} = \frac{16}{1} * \frac{1}{12} = \frac{16}{12} = \frac{4}{3}$

This will work with other numbers too.

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From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-ciga

jasenka [17]

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that $n = 1186, \pi = \frac{248}{1186} = 0.2091$

Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.

So $\alpha = 0.10$ , z is the value of Z that has a pvalue of $1 - \frac{0.10}{2} = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 - 1.645\sqrt{\frac{0.2091*0.7909}{1186}} = 0.1897$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 + 1.645\sqrt{\frac{0.2091*0.7909}= 0.2285$

The 90% confidence interval is (0.1897, 0.2285).

3 0

3 years ago

If 3t - 7 = 5t, then 6t =

STALIN [3.7K]

Answer:

-21 = 6t

Step-by-step explanation:

3t - 7 = 5t

Subtract 3t from each side

3t-7-3t = 5t-3t

-7 = 2t

Multiply each side by 3 to get 6t

-7*3 = 2t*3

-21 = 6t

6 0

3 years ago

Read 2 more answers

A piece of string 25 and 1/2 inches long will be cut into 3/4 inch pieces how many pieces will there be

olga2289 [7]

you would have 9.375 pieces or 75/8 pieces, depends on how you look at it

6 0

3 years ago

Ethan rode 25.65 kilometers on Saturday and 14.23 kilometers on Sunday. About how far did Ethan ride during the two days?

vazorg [7]

So for this problem we are looking for a sum (total). So first we are going to round 25.65 to 25.7 and round 14.23 to 14.2

Now we are going to add 25.7 and 14.2 to get a total of 39.9

Ethan rode 39.9 kilometers.

3 0

3 years ago

Read 2 more answers

F(x) = 4/x-9<br> g(x)=4/x + 9<br> find f(g(x))

Alenkinab [10]

Hello,

$f(x)= \dfrac{4}{x-9} \\

g(x)= \dfrac{4}{x+9} \\

f(g(x))=f( \dfrac{4}{x+9} )\\

= \dfrac{4}{ \dfrac{4}{x+9}-9} \\

= \dfrac{4(x+9)}{4-9x-81} \\

=- \dfrac{4x+36}{77x+9x} 


$

6 0

3 years ago