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3 years ago

What set of angles are not congruent

1 answer:

7 0

ANSWER: The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.

BRAINLIEST?⭐️

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Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and

balu736 [363]

Answer:

(a) The sample size required is 43.

(b) The sample size required is 62.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

(a)

The information provided is:

<em>σ</em> = 4 minutes

MOE = 72 seconds = 1.2 minutes

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1.2}]^{2}\\\\=42.684\\\\\approx 43$

Thus, the sample size required is 43.

(b)

The information provided is:

<em>σ</em> = 4 minutes

MOE = 1 minute

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1}]^{2}\\\\=61.4656\\\\\approx 62$

Thus, the sample size required is 62.

3 0

3 years ago

An absolute value equation that equals 3 and -3

forsale [732]

Answer $\sqrt{9}$

Step-by-step explanation:

3 0

3 years ago

Find the value of y if the line through the two given points is to have the indicated slope.

Masteriza [31]

Slope is the change in y/ change in x so the equation will be:
-2= (1-y)/(-6-(-5)) -> simplify -> -2= 1-y/-1 -> multiply both sides by -1 -> 2=1-y -> simplify and -y= 1 -> y=-1

4 0

3 years ago

What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your an

faust18 [17]

Answer:

0.2196

Step-by-step explanation:

Given that

Mean = 4.56 million visitors per day

Standard deviation = 820,000 visitors per day

According to the given situation the calculation of probability is shown below:-

Here we will find the value of P (3 ≤ X ≤ 4)

$P 93\leq X\leq 4)=P(X\leq 4) - P(X\leq 3)$

$\\=P(\frac{X-\mu}{\sigma}\leq \frac{4-4.56}{0.82})-P(\frac{X-\mu}{\sigma}\leq \frac{3-4.56}{0.82})$

$\\=P(Z\leq -0.683)-P(Z\leq -1.9024$

= 0.2483 - 0.0287

= 0.2196

Therefore the probability that the web site has between 3 million and 4 million visitors in a single day is 0.2196

4 0

3 years ago

Every day for 5 days Jack and Jill went walking. Each day Jack walked 4/5 of a mile and Jill walked 2/3 of a mile. At the end of

DanielleElmas [232]

$\bf \stackrel{\textit{Jack for 7 days}}{7\left( \cfrac{4}{5} \right)}\implies \cfrac{28}{5}~\hspace{10em}\stackrel{\textit{Jill for 7 days}}{7\left( \cfrac{2}{3} \right)}\implies \cfrac{14}{3}
\\\\[-0.35em]
~\dotfill\\\\
\cfrac{28}{5}-\cfrac{14}{3}\implies \stackrel{\textit{LCD of 15}}{\cfrac{(3)28-(5)14}{15}}\implies \cfrac{84-70}{15}\implies \cfrac{14}{15}$

7 0

3 years ago