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d1i1m1o1n [39]
1 year ago
10

Suppose 2' is a normally distributed random variable with ft = 10.3 and 0 = 3.8. For the following probability,draw an appropria

te diagram, shade the appropriate region and then determine the value:P(9 <2 ≤ 14) = Note: Enter your answer up to 4 decimal places.

Mathematics
1 answer:
TiliK225 [7]1 year ago
8 0

GIVEN

The following values are given:

\begin{gathered} \mu=10.3 \\ \sigma=3.8 \end{gathered}

SOLUTION

The z-score for the x values 9 and 14 can be calculated using the formula:

z=\frac{x-\mu}{\sigma}

For x = 9:

\begin{gathered} z=\frac{9-10.3}{3.8} \\ z=-0.34 \end{gathered}

For x = 14:

\begin{gathered} z=\frac{14-10.3}{3.8} \\ z=0.97 \end{gathered}

The probability can be calculated as follows:

P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671

The probability is 0.4671.

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Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. A girl i
jarptica [38.1K]

Answer:

Bianca's height = 42 inches

Step-by-step explanation:

Let x be the Bianca height.

Given:

Meredith height = 60 inches

We need to find the Bianca height.

Solution:

From the given statement the Meredith's height is \frac{2}{3} of Bianca's height plus 32 inches, so the equation is.

Meredith's height = \frac{2}{3}(Bianca\ height)+32

Substitute Meredith's height in above equation.

60=\frac{2}{3}x+32

Now we solve the above equation for x.

\frac{2}{3}x=60-32

\frac{2}{3}x=28

By cross multiplication.

x=\frac{3\times 28}{2}

28 divided by 2.

x= 3\times 14

x=42\ in

Therefore, the height of the Bianca is 42 inches.

7 0
3 years ago
What is the quotient of the division below? 96-3= O 13 O 23 O 31 o 32​
Anastaziya [24]

Answer:

the answer is 32

Step-by-step explanation:

hope this help have a good day

4 0
3 years ago
Find the dot product of u and v.<br> u=(7,15)<br> v = (-5,2)
nignag [31]

Answer:

A.... -5

Step-by-step explanation:

<u><em>-35 + 30 = -5</em></u>

5 0
3 years ago
Urgent help!
evablogger [386]

Answer:

charge for d days=d×75$

charge for k kilometers=k×65cents

total cost=75d$+k×0.65$

c=(75d+0.65k)$

6 0
3 years ago
Frank wants to build a garden with the dimensions below.
dexar [7]
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x 

Area = length * width 
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or  x = 5

Let x = 5 ; 

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

 Area = 13 x 7 = 91

Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
7 0
3 years ago
Read 2 more answers
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