Bruce walks 34 mile in 15 hour. What is his speed in miles per hour?

-33 -(31) -(-52) + (-40)

maw [93]

Step-by-step explanation:

-33 -(31) -(-52) + (-40)

= -33 - 31 + 52 - 40

=-64-40 + 52

=-104 + 52

=-52

8 0

3 years ago

The highest possible z-score that is still in the bottom 95% of the systolic blood pressure distribution is z =−1.645 . Use this

lawyer [7]

Answer:

(1) The value of X is, 151.13.

This score X, is the 95th percentile of systolic blood pressure scores among women. The percentile rank of this score is 95.

(2) The percentage of women have systolic blood pressure in the range 140 to 159 is 9.01%.

(3) The percentage of women having systolic blood pressure below 90 is 21.19%.

Step-by-step explanation:

The random variable X is defined as the systolic blood pressure of women.

The distribution of X is, N (110, 25²).

(1)

The value of z-score that is in the bottom 95% is, 1.645.

Compute the value of X as follows:

$z=\frac{X-\mu}{\sigma}\\1.645=\frac{X-110}{25}\\X=110+(1.645\times 25)\\X=151.125\\\approx151.13$

The value of X is, 151.13.

This score X, is the 95th percentile of systolic blood pressure scores among women. The percentile rank of this score is 95.

(2)

Compute the probability of X between 140 and 159 as follows:

$P(140$

The percentage of systolic blood pressure between 140 and 159 is,

0.0901 × 100 = 9.01%

Thus, the percentage of women have systolic blood pressure in the range 140 to 159 is 9.01%.

(3)

Compute the probability of X below 90 as follows:

$P(X$

The percentage of women having systolic blood pressure below 90 is,

0.2119 × 100 = 21.19%.

Thus, the percentage of women having systolic blood pressure below 90 is 21.19%.

6 0

4 years ago

A researcher wishes to conduct a study of the color preferences of new car buyers. suppose that 50% of this population prefers t

djyliett [7]

To solve this question, use the Binomial probability formula.

The formula is given by

$^nC_xp^x(1-p)^{n-x}$

Where:

n = the number of trials

x = the sample we aim to try

p = the probability of success

In this question:

n = 16

x = 9

p = 0.5

Substituting in the equation:

$\begin{gathered} ^nC_xp^x(1-p)^{n-x} \\ ^{16}C_9*0.5^9(1-0.5)^{16-9} \\ \end{gathered}$

And the combination formula:

$^nC_x=\frac{n!}{(n-x)!*x!}$

Then:

$\begin{gathered} \frac{16!}{(16-9)!*9!}*0.5^9(1-0.5)^{16-9} \\ \frac{16!}{7!*9!}*0.5^9*0.5^7 \\ 11440*0.00195*0.0078 \\ =0.1746 \end{gathered}$

Answer: The probability is 0.1746.

6 0

1 year ago

You purchase a cell phone for $125. the value of the cell phone decreases by about 20% annually. write a function at models the

djverab [1.8K]

F(x)=125-(125*0.2x)
to find the value of the phone after 3 years, you put x=3.
f(3)=125-(125*0.2(3))
f(3)=50

5 0

4 years ago

2.) Using any tool (Desmos or by hand on scratch paper) graph the inequality. Select 3 points. One point should

insens350 [35]

The line 6x - 2y = 12 goes through -6 on the y-axis and 2 on the x-axis ie through (0, -6) and (2, 0)
The line will be solid and shaded above (towards the origin)

There are an infinite number of choices for the example points!
Here is my selection.
(0, 0) is in the solution set. 6 x 0 - 2 x 0 = 0 which is less than 12
(5, 0) is not in the solution set. 6 x 5 - 2 x 0 = 30 which is greater than 12
(2, 0) is on the line. 6 x 2 - 2 x 0 = 12

5 0

3 years ago