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3 years ago

A quadrilateral has angles that measure 125°, 115°, and 65°.

2 answers:

8 0

Hello! A quadrilateral has 4 angles that equal 360 degrees. You already have three that equal 125 degrees, 115 degrees, and 65 degrees. Those three angles when added up have a sum of 305 degrees. Then, you subtract that number from 360 to find your fourth angle. 360 - 305 = 55. The measurement of the fourth angles is 55 degrees.

Luba_88 [7]3 years ago

6 0

The answer is 11 degrees

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A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c

Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

Here assume that $Z_{\frac{\alpha }{2} } \ and \ \sigma \$ is constant so

$E = \frac{k}{\sqrt{n} }$

=> $E \sqrt{n} = K$

=> $E_1 \sqrt{n}_1 = E_2 \sqrt{n}_2$

So let $n_1 = 400$ and $n_2 = 100$

=> $E_1 \sqrt{400} = E_2 \sqrt{100}$

=> $E_1 = \frac{\sqrt{100} }{\sqrt{400} } E_2$

=> $E_1 = \frac{1}{2 } E_2$

So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100

7 0

3 years ago

I’m thinking it’s 13? But need someone to clarify if I’m correct!?

Papessa [141]

Answer:

It's 13

Step-by-step explanation:

Well, just use the triangle inequality theorem and pay close attention to angles CAB and EAC... that's all I can say

Hope that helped

8 0

3 years ago

Express 80 miles per hour in kilometers per hour

Anna [14]

80 miles per hour is 128.74752 kilometers per hour

8 0

4 years ago

Read 2 more answers

The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea

Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

$N(A\text{ or B)=N(A)+N(B)-N(A and B)}$

N (professors)

$\begin{gathered} =6+9 \\ =15 \end{gathered}$

N(Male)

$\begin{gathered} =6+5 \\ =11 \end{gathered}$

N(professors and male)

$=6$

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

$\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}$

N(People to choose from)

$\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}$

Then probablitiy is:

$\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}$

Then the probability is 10/13

6 0

1 year ago

if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m

ElenaW [278]

Answer:

Step-by-step explanation:

m = least prime number = 2

n = least positive integer multiple of 12 = 12

n - m = 12 - 2 = 10

8 0

3 years ago

Read 2 more answers