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3 years ago

Find the unknown length given that the triangles are similar

Mathematics

2 answers:

zvonat [6]3 years ago

4 0

Use a proportion.

9/15 = 12/x

Cross multiply.

9x = 15 * 12

9x = 180

x = 20

Answer: 20 mm

Firdavs [7]3 years ago

3 0

Hello!

On one side, the length is 6 mm on the small triangle, and on the big one, it's 10. The ratio is 6:10

You can make a proportion

$\frac{6}{10} = \frac{12}{x}$

Cross multiply

10 × 12 = 120

Divide by 6 to get x

120 ÷ 6 = 20

$\framebox{x = 20 mm}$

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Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed

vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 11-1 = 10$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have $T = 1.812$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{4}{\sqrt{11}} = 1.2060$

Now, we multiply T and s

$M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8$ cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

$L = 97 + 2.19 = 99.19 = 99.2$ cm

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0

3 years ago

3x-2y= 10 Write the slope intercept for of the equation

Savatey [412]

Answer: y = -3/2x + 5

Step-by-step explanation:

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2 years ago

Read 2 more answers

When performing a horizontal analysis on an income statement, the percentage change in any individual item is calculated by div

oksian1 [2.3K]

Answer: C. the base period amount.

Explanation: While implementing a horizontal analysis on a given income statement, we compute a percentage change in any individual item by dividing the dollar amount of change from base to current time period with the base period amount.

i.e. % Change in Individual item = $\frac{Current\ Dollar\ - Base\ Dollar }{Base \ period \ amount}$

Therefore, the correct option in this case is (c)

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2 years ago

6/9 divided by 2/4 I really need help

Alex777 [14]

Answer: 1 1/3

Step-by-step explanation: Hope this helped!

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2 years ago

What's the midpoint between (1,-7) and (-1,-23)

Alik [6]

Answer: (0,-15)

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Explanation:

Add up the x coordinates to get 1+(-1) = 0. Divide this sum in half to get 0/2 = 0. Therefore the x coordinate of the midpoint is 0.

Repeat for the y coordinates. First add the y coordinates to get -7+(-23) = -30. Then divide that result in half to get -30/2 = -15. So the y coordinate of the midpoint is -15.

Overall, the midpoint is (0,-15).

8 0

2 years ago