Find the greatest common factor of 15 and 5

Cos A+cosB+CosC=1+4sinA/2*sinB/2*sinC/2

Scrat [10]

Socratic use det app

5 0

3 years ago

A translation is a type of transformation in which a figure is .

Romashka [77]

Answer: Rotation

Step-by-step explanation: can't be translation its tilted cant be reflection because of the tilt also cant be dilation because its the same size {hope this help's :{

7 0

4 years ago

Read 2 more answers

Researchers studying starfish collected two independent random samples of 40 starfish. One sample came from an ocean area in the

krek1111 [17]

Answer:

The test statistic for the appropriate test is $\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}$ .

Step-by-step explanation:

The experiment conducted here is to determine whether there is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. north and south.

The hypothesis to test this can be defined as follows:

H₀: There is no difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. p₁ = p₂.

Hₐ: There is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. p₁ ≠ p₂.

The two-proportion z-test would be used to perform the test.

A sample of n = 40 starfishes are selected from both the ocean areas.

It provided that of the 40 starfish from the north, 6 were found to be over 8 inches in length and of the 40 starfish from the south, 11 were found to be over 8 inches in length.

Compute the sample proportion of starfish from north that were over 8 inches in length as follows:

$\hat p_{n}=\frac{6}{40}=0.15$

Compute the sample proportion of starfish from south that were over 8 inches in length as follows:

$\hat p_{s}=\frac{11}{40}=0.275$

The test statistic is:

$z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}$

Compute the combined proportion P as follows:

$P=\frac{X_{n}+X_{s}}{n_{n}+n_{s}}=\frac{6+11}{40+40}=0.2125$

Compute the test statistic value as follows:

$z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}$

$=\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}$

Thus, the test statistic for the appropriate test is $\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}$ .

8 0

3 years ago

What is the fifth term of a number pattern that begins with 32 and adds 5? A. 52 B. 42 C. 57 D. 47

Cloud [144]

Represent as an expression:

32 + 5x

Plug 5 for x and solve:

32 + 5(5)

32+10

42

Solution: B. 42

I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!

7 0

3 years ago

I am struggling with triangles missing angles with the formula if you could explain your answer step by step that would be great

Alborosie

Answer:

See below.

Step-by-step explanation:

The 3 angles of all triangles add up to 180 degrees.

An isosceles triangle has 2 of its angles equal.

So if one of the angles is 130 degrees then there cant be another one of 130 degrees as that would make 260 degrees.

So the other 2 angles are equal and their measure is (180 - 130) / 2

= 50 / 2

= 25 degrees.

The 2 equal angles are both 25 degrees.

3 0

3 years ago