Set up a proportion to solve for x in the following similar<br> triangles.

Tyler cut 40 1/8 inch board into 3 pieces of equal length. He then cut 3 3/4 iches off of each piece to make smaller boards. Wha

Deffense [45]

Answer:

$9\frac{5}{8}\ inches$

Step-by-step explanation:

The original board is 40 1/8 inch and it is cut in 3 pieces of equal length:

New boards = $40\frac{1}{8} : 3 = \frac{321}{8} * \frac{1}{3} = \frac{107}{8}$

And now he cuts again 3 3/4 inches off of each one of the new boards (substracts)

$\frac{107}{8} - 3\frac{3}{4} =\frac{107}{8} -\frac{15}{4} =\frac{107-30}{8} =\frac{77}{8} =9\frac{5}{8} \ inches$

6 0

3 years ago

A shop-keeper wants to charge 1.5 times

FrozenT [24]

Answer:

ok so the equation would look like this

B=1.5A

so b is 1.5 times more then a

7 0

3 years ago

Read 2 more answers

Simplify each expression.

MrRa [10]

1)B -26-27x
steps :distribute ,-9 times 3 =-27 , -9 times 3x = -27x , now combine like terms :you have a 1 and a -27 ,1-27=-26,and you left with -27

2)D 11-49x
steps :distribute , positive 7 times 1= 7 and then positive 7 times negative 7x =-49, now combine like terms ,since you have a positive 4 combine it with positive 7 which is 11 and finally put it together with -49x which it would look like 11-49x

6 0

3 years ago

A researcher is interested in comparison of male and female students of Rutgers University in terms of how many hours they study

nekit [7.7K]

Answer:

Step-by-step explanation:

Hello!

The researcher is interested in comparing how many hours per week the students dedicate to studying regarding their gender.

Let 1 denote the females and 2 denote the males, the parameter of interest will be the difference between the average weekly study hours of female students and the average weekly hours of study of male students, symbolically:

μ₁ - μ₂

If the objective is to see if there is any difference between the average weekly study hours, the statistical hypotheses are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.02

The calculated statistic is $Z_{H_0}$ = 2.86

This Hypothesis test is two-tailed, meaning that the rejection region is divided in two tails, using the critical value approach:

$Z_{\alpha /2}= Z_{0.01}= -2.334$

$Z_{1-\alpha /2}= Z_{1-0.01}= Z_{0.99}= 2.334$

The decision rule is:

If $Z_{H_0}$ ≤ -2.334 or if $Z_{H_0}$ ≥2.334, then you reject the null hypothesis.

If -2.334 < $Z_{H_0}$ < 2.334, then you do not reject the null hypothesis.

$Z_{H_0}$ is greater than the upper critical value, so the decision is to reject the null hypothesis.

Then using a 2% significance level, the test is significant, you can conclude that the population mean weekly study hours of female students and the population mean weekly hours of study of male students are different.

I hope this helps!

3 0

3 years ago

Pls answer number 4 I really need help

valentina_108 [34]

Answer: 540
Hope this helps :D

6 0

3 years ago

Set up a proportion to solve for x in the following similar triangles.