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3 years ago

Simplify the algebraic expression: 4(3x + y) – 2(x – 5y)

Mathematics

2 answers:

professor190 [17]3 years ago

6 0

Answer: 10x+14y

Step-by-step explanation:

vfiekz [6]3 years ago

4 0

4*3x =12x

4*y =4y

Result:12+4y

2*x =2x

2*-5y=-10y

Result:2x+-10y

Final result:(12x+4y)+(2x+-10y)

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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

Some group insurance plans cover ordinary doctor visits and dental work. true or false

Ede4ka [16]

True, but not many. Insurance companies typically have a cap off so the client doesn't go in let's say every week for a check up to see if they grew an inch. This is form personal experience in reading into the fine print.

3 0

3 years ago

Read 2 more answers

Help me please please help me

melomori [17]

It's B or C I think I'm not to sure

8 0

2 years ago

Please solve, 20 points to whoever answers right

Vladimir79 [104]

Answer:

When the probe reaches the ocean floor, the horizontal distance of the probe from the team's ship on the ocean's surface will be approximately 1625 meters.

Step-by-step explanation:

tan=opposite/adjacent

tan67.4°=3900/x

2.40=3900/x

cross multiply

2.40x=3900

divide via by 2.40

2.40x/2.40=3900/2.40

x=1625

When the probe reaches the ocean floor, the horizontal distance of the probe from the team's ship on the ocean's surface will be approximately 1625 meters

7 0

2 years ago

Identify the domain and range of the following relation. 3.7

andrey2020 [161]

Answer: {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8}

7 0

3 years ago