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3 years ago

What set of rotations would carry trapezoid ABCD onto itself?

1 answer:

4 0

A 360 degree rotation, around any point. Now sometimes you can do it with 180 degrees of rotation, but I need more information to specify.
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What is the area of the trapezoid shown?

Rainbow [258]

BC is 6.08, use distance formula to calculate
height is BE and also 6.08
AD is 18.25
A= h((a+b)/2)
=6.08(6.08+18.25)/2)
= 73.96 units^2 is the area

6 0

2 years ago

Read 2 more answers

Evaluate the expression x^2 - y^2, if x = -3, and y= 2

Darina [25.2K]

$\\ \rm\longmapsto x^2-y^2$

$\\ \rm\longmapsto (-3)^2-(2)^2$

$\\ \rm\longmapsto 9-4$

$\\ \rm\longmapsto 5$

4 0

2 years ago

The following table gives results from two groups of students who took a nonproctored test. Use a 0.01 significance level to tes

Nana76 [90]

Answer:

Original claim is $\mu_{1} =\mu_{2}$

Opposite claim is $\mu_{1} \neq \mu_{2}$

Null and alternative hypotheses:

$H_{0}:\mu_{1} = \mu_{2}$

$H_{1} : \mu_{1} \neq \mu_{2}$

Significance level: 0.01

Test statistic:

We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:

Press STAT and the scroll right to TESTS

Scroll down to 2-SampTTest... and scroll to stats.

Enter below information.

$\bar{x_{1}}=70.29$

$Sx1=22.09$

$n_{1} = 30$

$\bar{x_{2}}=74.26$

$Sx2=18.15$

$n_{2} = 32$

$\mu_{1} \neq \mu_{2}$

Pooled: Yes

Calculate.

The output is in the attachment.

Therefore, the test statistic is:

$t=-0.78$

P-value: 0.4412

Reject or fail to reject: Fail to reject

Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.

6 0

2 years ago

What is The prime factorization of 464

harkovskaia [24]

4 is your answer bud

8 0

3 years ago

Read 2 more answers

6) John purchased 120 shares of Walmart stock at $58.02 each. He sold the stock for $120.98.

antiseptic1488 [7]

Answer:

John lost $6841.42.

Step-by-step explanation:

Let's find out how much John paid for the stock he bought. Each share cost $58.02. He bought 120 shares. Multiply the price by the number of shares.

58.02 x 120 = 6962.40

He sold the stock for $120.98 -- a huge loss! (We are not told that the $120.98 is the selling price of one share, so I'm assuming that's what John sold all his shares for.)

Find the difference to see what his loss was.

$6962.40 - $120.98 = $6841.42 LOST!

8 0

3 years ago