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STALIN [3.7K]
3 years ago
8

Help ASAP PLZ HELP ME​

Mathematics
1 answer:
Gelneren [198K]3 years ago
6 0

Answer:

Step-by-step explanation:

the sum of angles of triangle=180 degrees

one angle=90 degrees

180-90=90 degrees is the measure of the other two angles

since the two angles are congruent or equal

90/2=45 degrees

the measure of the 2 angles =45 degrees each

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Jon loves to go bird watching at a nearby animal sanctuary. Find the mean of the following numbers of birds he spotted at the sa
DIA [1.3K]

Answer:

Mean = 12

Step-by-step explanation:

The arithmetic mean of a distribution is the sum of the number of samples in the distribution divided by the number of samples in the dataset. It is a measure of central tendency. The mean is represented as follows:

\bar x = \frac{\sum x}{n} \\where\\\bar x = mean\\\sum x = sum\ of\ individual\ terms\\n = number\ of\ terms\\\therefore \bar x = \frac{14\ +\ 10\ +\ 17\ +\ 11\ +\ 9\ +\ 15\ +\ 6\ +\ 14}{8}\\\bar x = \frac{96}{8} \\\bar x = 12

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3 years ago
The sales of a grocery store had an average of $7,000 per day. The store introduced several advertising campaigns in order to in
Sati [7]

Answer:

a.The advertising campaigns increased the average daily sales.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the advertising campaigns increased the average daily sales.

Then, the null and alternative hypothesis are:

H_0: \mu=7000\\\\H_a:\mu> 7000

The significance level is 0.05.

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We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1000}{\sqrt{100}}=100

Then, we can calculate the z-statistic as:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{7280-7000}{100}=\dfrac{280}{100}=2.8

This test is a right-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z>2.8)=0.0026

As the P-value (0.0026) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the advertising campaigns increased the average daily sales.

7 0
3 years ago
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4 years ago
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KiRa [710]

Answer:

y = \frac{4x}{5}+\frac{42}{5}

Step-by-step explanation:

In order for two lines to be parallel, they must have the same slope. So, we know that the slope of the other line is 4/5.

We're given an ordered pair, so we can solve for b in the (slope-intercept form) equation y = mx + b

2 = \frac{4}{5}(-8) + b\\2 = \frac{-32}{5}+b\\b = 2 + \frac{32}{5}\\  b = \frac{42}{5}

y = \frac{4x}{5}+\frac{42}{5}

4 0
4 years ago
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