Angle M has a measurement of 36 and angle and as a measurement of 24 are these two angles congruent

Find the surface area and volume of a sphere with a radius r = 0.8 ft. Round your answer to the nearest tenth. A. 7.8 ft2; 2.6 f

fiasKO [112]

Surface area of a sphere = 4πr²

Surface area of the sphere = 4π(0.8)² = 8.0 ft²

Volume of a sphere = 4/3 πr³

Volume of the sphere = 4/3 π(0.8)³ = 2.1 ft³

Answer: Surface area = 8.0 ft² and volume - 2.1 ft³ (Answer C)

7 0

2 years ago

Andre and Diego were each trying to solve 2+6=3−8. Describe the first step they each make to the equation.The result of Diego’s

Fiesta28 [93]

Step-by-step explanation:

2+6=3-8

2+6=8

3-8=-5

8=-5

4 0

3 years ago

Which system has infinitely many solutions?

GREYUIT [131]

The answer is "b"
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8 0

2 years ago

A line has a slope of 7 and passes through the point (-2,-1) What is its equation in point-slope form?

elena-s [515]

Answer:

y + 1 = 7(x + 2).

Step-by-step explanation:

Point slope form:

y - y1 =m(x - x1).

Here m = 7 and (x1, y1) = (-2, -1)

So the answer is;

y - (-1) = 7(x - (-2))

5 0

2 years ago

1).Calculate T, when sample mean is 120, population mean is 100, standard deviation is 20 and smaple size is 10 using levels of

Sonbull [250]

Answer:

$t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16$

$p_v =2*P(t_{9}>3.16)=0.012$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and the true mean is significantly different from 100 at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=120$ represent the sample mean

$s=20$ represent the standard deviation for the sample

$n=10$ sample size

$\mu_o =100$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is different from 100, the system of hypothesis would be:

Null hypothesis: $\mu = 100$

Alternative hypothesis: $\mu \neq 100$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=10-1=9$

Conclusion

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

$p_v =2*P(t_{9}>3.16)=0.012$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and the true mean is significantly different from 100 at 5% of significance.

8 0

3 years ago

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