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3 years ago

Factor the expression using the greatest common factor 2x + 10 =

Mathematics

2 answers:

sergiy2304 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Sergeu [11.5K]3 years ago

4 0

Answer:

2(x+5)

Step-by-step explanation:

2x+10

1.Factor our the 2 from the equation

2.Your answer after will be 2(x+5)

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Given a sphere with a diameter of 6 cm, find its volume to the nearest whole<br> number.

mezya [45]

Answer:

Volume of the sphere is $1.13\times 10^{-4}m^3$

Step-by-step explanation:

It is given diameter of the sphere d = 6 cm = 0.06 m

Radius of the sphere

$r=\frac{d}{2}=\frac{0.06}{2}=0.03m$

We know that volume of the sphere is given by

$V=\frac{4}{3}\pi r^3$

Therefore ,

$V=\frac{4}{3}\times 3.14\times 0.03^3$

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3 years ago

A null hypothesis is that the mean nose lengths of men and women are the same. The alternative hypothesis is that men have a lon

algol [13]

Answer:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

See explanation below.

Step-by-step explanation:

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:

Null hypothesis: $\mu_{men} \leq \mu_{women}$

Alternative hypothesis: $\mu_{men} > \mu_{women}$

Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{men}-\bar X_{women}}{\sqrt{\frac{\sigma^2_{men}}{n_{men}}+\frac{\sigma^2_{women}}{n_{women}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Let's assume that the calculated statistic is $z_{calc}$

Since is a right tailed test test the p value would be:

$p_v =P(Z>z_{calc})=0.225$

And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that $p_v >\alpha$

And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

8 0

3 years ago