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2 years ago

Look at the diagram.

Mathematics

1 answer:

azamat2 years ago

5 0

Answer:

Option G

Step-by-step explanation:

Option F

m∠1 + 121 = 180 [Sum of linear angles = 180°]

True.

Option G

121 + m∠2 + 33 = 180

False. Because 121° is not an interior angle of the given triangle.

Option H

33 + m∠1 = 92

True.

Measure of exterior angle of a triangle is equal to the sum of he measure of the non adjacent interior angles.

Option J

121 + 92 + m∠3 = 360°

True.

Sum of the exterior angles of triangle is 180°.

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A streaming music site changed its format to focus on previously unreleased music from rising artists. The site manager now want

nika2105 [10]

Answer:

D) The manager should fail to reject the null hypothesis; there is not enough evidence to conclude that the number of unique daily listeners has changed.

Step-by-step explanation:

The scenario indicates the null hypotheses and alternative hypotheses are

Null hypotheses: The number of unique daily listeners hasn't changed.

Alternative hypotheses: The number of unique daily listeners has changed.

The null hypothesis is rejected if the calculated p-value is less significance level.

We are given that p-value is 0.0743 and confidence level=0.95.

Significance level =α=1-0.95=0.05.

As we can see the p-value is greater than significance level, so, we fail to reject the null hypotheses at 5% significance level.

Thus, we conclude at the 95% confidence level that the manager should fail to reject the null hypothesis; there is not enough evidence to conclude that the number of unique daily listeners has changed

8 0

2 years ago

What is a 1/4 of ?/100

irakobra [83]

$\frac{1}{4}\cdot100=25$
......

8 0

3 years ago

Read 2 more answers

John has two jobs. For daytime work at a jewelry store he is paid

djyliett [7]

Given Information:

John's mean monthly commission = μ = $10,000

Standard deviation of monthly commission = σ = $2,000

Answer:

$P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%$

The probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We want to find out the probability that John's commission from the jewelry store is between $9,000 and $11,000?

$P(9,000 < X < 11,000) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(9,000 < X < 11,000) = P( \frac{9,000 - 10,000}{2,000} < Z < \frac{11,000 - 10,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( \frac{-1,000}{2,000} < Z < \frac{1,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( -0.5 < Z < 0.5 )\\\\P(9,000 < X < 11,000) = P( Z < 0.5 ) - P( Z < -0.5 ) \\\\$

The z-score corresponding to 0.50 is 0.6915

The z-score corresponding to -0.50 is 0.3085

$P(9,000 < X < 11,000) = 0.6915 - 0.3085 \\\\P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%$

Therefore, the probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

4 0

3 years ago

You are building a rectangular dog pen with an area of 90ft^2. You want the length to be 3 ft longer that twice it's width. What

Alecsey [184]

I think the answers is the you think is if you think okayω

8 0

2 years ago

If f(1)=6 and f(n) = F(n - 1) + 2 then find the value of f(4).

Usimov [2.4K]

Hi there!

$\large\boxed{f(4) = 12}$

We know that:

f(1) = 6

F(n) = F(n - 1) + 2 (Meaning, the next "n" is 2 added to the previous)

We can count up to f(4) using this logic:

f(2) = F(2 - 1) + 2 = F(1) + 2 = 6 + 2 = 8

f(3) = F(2) + 2 = 8 + 2 = 10

f(4) = F(3) + 2 = 10 + 2 = 12

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2 years ago

Read 2 more answers