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Ivanshal [37]
3 years ago
5

(2^-4)^-3 Someone please help me out

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0
4096!!!!!!!!!!!!!!!!!
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The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and
Olin [163]

Answer:

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 49 minutes

Standard Deviation, σ = 16 minutes

We are given that the distribution of  time an individual reads is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(no more than 30 minutes)

P( x \leq 610) = P( z \leq \displaystyle\frac{30 - 49}{16}) = P(z \leq -1.1875)

Calculation the value from standard normal z table, we have,  

P(x \leq 30) = 0.118 = 11.8\%

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

3 0
3 years ago
The longest side of a triangle is 5 in longer than the shortest side. The medium side is 4 in longer than the shortest side. If
aliina [53]

Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches

Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;

The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.

Therefore with the perimeter given as 27, we now have the expression;

s + s + 4 + s + 5 = 27

3s + 9 = 27

Subtract 9 from both sides of the equation

3s = 18

Divide both sides of the equation by 3

s = 6

Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,

6 inches, 10 inches and 11 inches.

7 0
3 years ago
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amo
sergeinik [125]

Answer: $ 67.03

Step-by-step explanation:

Given : The average expenditure in a sample survey of 50 male consumers was $135.67, and the average expenditure in a sample survey of 38 female consumers was $68.64.

i.e. \overline{x}_1=\$135.67\ \ \&\ \ \overline{x}_2=\$68.64

The best point estimate of the difference between the two population means is given by :-

\overline{x}_1-\overline{x}_2\\\\=135.67-68.64=67.03

Hence, the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females : $ 67.03

7 0
3 years ago
Help please! - "Enter The Equation of the line in the form y= mx where m is the slope."​
Dmitry [639]

Answer:

y = 1/2x

Step-by-step explanation:

Choose two points- I chose (10,5) and (0,0)

Find the slope using y2-y1/x2-x1

Use y - y1 = slope (x -x1) to get your equation

The answer should be y =1/2x

Hopefully this helps- let me know if you have any questions

5 0
3 years ago
stephen is making curtains for several windows in his aunt's house. he determines that he needs 8.5 yards of fabric for each win
pashok25 [27]

Answer:

F(n) = 8.5*n yards, where n is the number of windows

Step-by-step explanation:

Suppose the house of Stephen's aunt has n windows.

Since he needs 8.5 yards of fabric for each window, then he needs 8.5 times n yards of fabric for the n windows.

Call F(n) the yards of fabric he needs for the n windows, then

F(n) = 8.5*n

For example, if auntie's house had 4 windows, then

F(4) = 8.5*4 = 34 yards.

If auntie's house had 6 windows

F(6) = 51 yards.

8 0
3 years ago
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