This week luis made 80%of what he made last week. lf he made $72 this week, how much did he make last week

Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°, what is the degree measuremen

olasank [31]

Answer:

The answer is 20 degrees

Step-by-step explanation:

A trapezoid is a quadrilateral with four angles and the sum of the four angles is 360 degrees.

Britton rotated the trapezoid ABCD 180º, but we were not told that he tampered with the angles size or shape, we can now agree that it is still the same trapezoid that was rotated without any alterations in angles, size and shape.

Since we've been given that the angle B is 20º, and the measurement was not altered when rotating the trapezoid. Therefore the angle B' will also be 20º.

I hope this helps.

6 0

2 years ago

Read 2 more answers

The table shows the progress of a plant's growth. The height of the plant, y, is given by the table, where x is the number of da

EleoNora [17]

Answer:

The table shows the progress of a plant's growth. The height of the plant, y, is given by the table, where x is the number of days.

Which statements are correct?

A)

The rate of change is 2 cm.

B)

The plant's height at 10 days is 30 cm.

The plant's height at 30 days is 40 cm.

D)

The initial height of the plant is 0 centimeters high.

Step-by-step explanation:

The plant's growth can be modeled by the equation y-2x+10.

e is the answer please give me brain list

3 0

2 years ago

Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by model

Ann [662]

Answer:

(1) The degrees of freedom for unequal variance test is (14, 11).

(2) The decision rule for the 0.01 significance level is;

If the value of our test statistics is less than the critical values of F at 0.01 level of significance, then we have insufficient evidence to reject our null hypothesis.

If the value of our test statistics is more than the critical values of F at 0.01 level of significance, then we have sufficient evidence to reject our null hypothesis.

(3) The value of the test statistic is 0.3796.

Step-by-step explanation:

We are given that you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne's attire with those of Calvin Klein.

The following is the amount ($000) earned per month by a sample of 15 Claiborne models;

$3.5, $5.1, $5.2, $3.6, $5.0, $3.4, $5.3, $6.5, $4.8, $6.3, $5.8, $4.5, $6.3, $4.9, $4.2 .

The following is the amount ($000) earned by a sample of 12 Klein models;

$4.1, $2.5, $1.2, $3.5, $5.1, $2.3, $6.1, $1.2, $1.5, $1.3, $1.8, $2.1.

(1) As we know that for the unequal variance test, we use F-test. The degrees of freedom for the F-test is given by;

$\text{F}_(_n__1-1, n_2-1_)$

Here, $n_1$ = sample of 15 Claiborne models

$n_2$ = sample of 12 Klein models

So, the degrees of freedom = ( $n_1-1, n_2-1$ ) = (15 - 1, 12 - 1) = (14, 11)

(2) The decision rule for 0.01 significance level is given by;

If the value of our test statistics is less than the critical values of F at 0.01 level of significance, then we have insufficient evidence to reject our null hypothesis.

If the value of our test statistics is more than the critical values of F at 0.01 level of significance, then we have sufficient evidence to reject our null hypothesis.

(3) The test statistics that will be used here is F-test which is given by;

T.S. = $\frac{s_1^{2} }{s_2^{2} } \times \frac{\sigma_2^{2} }{\sigma_1^{2} }$ ~ $\text{F}_(_n__1-1, n_2-1_)$

where, $s_1^{2}$ = sample variance of the Claiborne models data = $\frac{\sum (X_i-\bar X)^{2} }{n_1-1}$ = 1.007

$s_2^{2}$ = sample variance of the Klein models data = $\frac{\sum (X_i-\bar X)^{2} }{n_2-1}$ = 2.653

So, the test statistics = $\frac{1.007}{2.653 } \times 1$ ~ $\text{F}_(_1_4,_1_1_)$

= 0.3796

Hence, the value of the test statistic is 0.3796.

3 0

2 years ago

A 40-meter-long blade of a wind turbine makes one complete revolution in 10 seconds. To the nearest tenth, the linear velocity o

Pani-rosa [81]

The distance the tip travels is
2π·(40 m) = 80π m

Then its speed is
(80π m)/(10 s) = 8π m/2 ≈ 25.1 m/s

7 0

2 years ago

Read 2 more answers

Daniel’s tennis team made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64.

Kobotan [32]

Let x be the number of members in Daniel's tennis team.

The amount made = $582.85
Expenses (food and drinks) = $64
Balance remaining for sharing = 582.85 - 64 = $518.85

Amount received by each player = (amount made - Expenses)/Number of members = 518.85/x

7 0

2 years ago

Read 2 more answers