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2 years ago

9

H(x)=4log2(x−6)+1 All real numbers greater than____

1 answer:

MariettaO [177]2 years ago

4 0

$\huge\underline\mathfrak\blue{Answer:-}$

The demoin is all real numbers greater than 6

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8. The distribution for the time it takes a student to complete the fall class registration has mean of 94 minutes and standard

Alborosie

Answer:

Mean = 94

Standard deviation = 1.12

The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation, which is also called standard error $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 94, \sigma = 10$

By the Central Limit Theorem

The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.

Mean = 94

Standard deviation:

$s = \frac{10}{\sqrt{80}} = 1.12$

7 0

3 years ago

Find the slope of the lines that passes though the points (2,5) and (4,1)

Gnoma [55]

Answer:

2)-2

Step-by-step explanation:

The slope of a line is given

m = (y2-y1)/ (x2-x1)

= (1-5)/(4-2)

= -4/2

=-2

4 0

3 years ago

Can u show our work for me

dolphi86 [110]

Answer:

140.55

Step-by-step explanation:

8 0

3 years ago

Make b the subject of the formula a = Vb + 6

zhuklara [117]

Answer:

b = (a - 6)/V

Step-by-step explanation:

a = Vb + 6

Subtract 6 from both sides:

a - 6 = Vb

b = (a - 6)/V

3 0

2 years ago

The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie

andrey2020 [161]

Answer:

The answer is $25\pi$ units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

The distance between the $x$ 's is 9-3=6.

The distance between the $y$ 's is 9-1=8.

The distance between the points is given by $\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$ .

The radius is therefore $\frac{10}{2}=5$ .

We are asked to find the area of this circle.

The formula for finding the area of a circle is $\pi r^2$ .

Since the radius is $5$ , then the area in terms of $\pi$ ,(pi), is $\pi (5)^2=\pi (25)$ .

The answer is $25\pi$ units squared.

4 0

3 years ago