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3 years ago

Solve number 4 please

Mathematics

1 answer:

lawyer [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Slope is given by

$\frac{y2 - y1}{x2 - x1}$

where y2 = -1, y1 = -7, x2 = -1, x2 = -3

$\frac{ - 1 - ( - 7)}{ - 1 - ( - 3)} = \frac{ - 1 + 7}{ - 1 + 3}$

$= \frac{6}{2} = 3$

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When is the mean most useful in describing a set of data?

Anettt [7]

Answer:

When the range is wide

Step-by-step explanation:

8 0

3 years ago

35. In a simple random sample of 25 high school students, the sample mean of the SAT scores was 1450, and the sample variance wa

Tatiana [17]

Answer:

$1450-2.0\frac{30}{\sqrt{25}}=1450-12$

$1450+2.0\frac{30}{\sqrt{25}}=1450+12$

And the best option would be:

c. 1450 +/- 12

Step-by-step explanation:

Information provided

$\bar X=1450$ represent the sample mean for the SAT scores

$\mu$ population mean (variable of interest)

$s^2 = 900$ represent the sample variance given

n=25 represent the sample size

Solution

The confidence interval for the true mean is given by :

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The sample deviation would be $s=\sqrt{900}= 30$

The degrees of freedom are given by:

$df=n-1=2-25=24$

The Confidence is 0.954 or 95.4%, the value of $\alpha=0.046$ and $\alpha/2 =0.023$ , assuming that we can use the normal distribution in order to find the quantile the critical value would be $z_{\alpha/2} \approx 2.0$

The confidence interval would be

$1450-2.0\frac{30}{\sqrt{25}}=1450-12$

$1450+2.0\frac{30}{\sqrt{25}}=1450+12$

And the best option would be:

c. 1450 +/- 12

3 0

3 years ago

Please I need help with this question: 2 + 2d > 6

Aleonysh [2.5K]

$d > 2$

Step-by-step explanation:

1) Subtract 2 from both sides.

$2d > 6 - 2$

2) Simplify 6 - 2 to 4.

$2d > 4$

3) Divide both sides by 2.

$d > \frac{4}{2}$

4) Simplify 4/2 to 2.

$d > 2$

Therefor, the answer is, d >2.

3 0

3 years ago

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Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°

vlabodo [156]

Answer:

86.63 ft

Step-by-step explanation:

The tangent relation applies.

Tan = Opposite/Adjacent

tan(77°) = (tree height)/(20 ft)

tree height = (20 ft)·tan(77°) ≈ 86.63 ft

_____

<em>Additional comment</em>

It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.

8 0

2 years ago

According to the fundamental theorem of algebra how many roots exist for the polynomial function f(x)=8x^7-x^5+x^3+6

mojhsa [17]

Answer:

Step-by-step explanation:

This is a 7th degree polynomial. There should be 7 roots. Note how degree of poly = number of roots.

5 0

3 years ago

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