Mathematics College

z is a standard normal random variable. The P(-1.5 < z < 1.09) equals
a. 0.7953.
b. 0.4322.
c. 0.0711.
d. 0.3621.

Answers

Answer 1

If z is a standard normal variable then the probability of P(-1.5 < z < 1.09) is 0.79533

Here it is given that Z is a standard normal variable. This imples that the mean of Z is 1 and the standard deviation is 0. Hence we get

μ = 1

σ = 0

Now we need to find the probability P(-1.5 < z < 1.09)

We know that P(a < X < b) = P(X < b) - P(X < a)

= P(z < 1.09) - P(z < -1.5)

We know that P(x < -a) = 1 - P(x < a)

= P(z < 1.09) + P(z < 1.5) - 1

Now looking up the s-score for 1.09 and 1.5 in the z-table we get

0.86214 + 0.93319 - 1

= 0.79533

To learn more about Normal distribution visit

https://brainly.com/question/29319403

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Related Questions

The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.

An equation is ____=540​
The solution is x=____

Answers

in figure

85+5n+5n+5n+5f+5n-10=540

20n+80=540

20n= 460

x=23

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period. a. Which form of the null and alternative hypotheses most appropriate for this situation

Answers

The question is incomplete. The complete question is :

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 24 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.

a. Which form of the null and alternative hypotheses most appropriate for this situation.

[tex]$H_0$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)

[tex]$H_a$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)

Solution :

It is given that the current mean sales volume in one month is 24 automobiles. The automobile dealership manager wants to conducts research study to check the increase in the sales volume due to the launch of a new bonus plan. So to collect the data on plan, sample of the sales personnel is allowed to sell for one month period only according to the new bonus plan.

Therefore the null hypothesis and the alternate hypothesis that most appropriates the situation is :

[tex]$H_0 \leq 24$[/tex][tex]$H_a > 24$[/tex]

First to answer gets brainliest

Answers

55>5x+39 this is your equation and since he wants to stay under 55 you didn’t use the one with the line.

Find x, please don't put random answers for points

Answers

Answer:

The answer will be x=6.07 I believe

Step-by-step explanation:

I hope this Helped

Answer:

[tex]2\sqrt{13}[/tex]

Step-by-step explanation:

Since the 0CA and ACL are equal, we know that OA equals AL.

Using the Pythagorean Theorem, 10^2-6^2=100-36=64.

Under square root 64 is equal to 8, so OL is equal to 8.

Since OA is equal to AL, AL=6.

Again, using the Pythagorean Theorem, 6^2+4^2=36+16=52.

Under square root 52 simplifies to [tex]2\sqrt{13}[/tex]

Hope I helped!

4 movie tickets cost $35, how many dollars per ticket​

Answers

8.75$ that’s the amount 35 divided by 4

Answer:

140

Step-by-step explanation:

35 x 4= 140

Find the volume of a rectangular prism with dimensions 21 in. by 20 in. by 19 in., to the nearest hundredth cubic foot

Answers

Answer:

The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.

To find:

The volume of the rectangular prism.

Solution:

Let the length, breadth and height are 21 in, 20 in and 19 in respectively.

Volume of the rectangular prism is

[tex]V=Length\times Breadth\times Height[/tex]

[tex]V=21\times 20\times 19[/tex]

[tex]V=7980[/tex]

Therefore, the volume of the rectangular prism is 7980 cubic inches.

-35 = -3x + 8 + 5x

Can someone please help me with this math problem

Answers

Answer:

22.5 i think

Step-by-step explanation:

-3x + 8 + 5x = - 35

add like terms

2x + 8 = -35

subtract 8 on both sides

2x  = 43

divide by 2

22.5

Answer:

22.5

Step-by-step explanation:

add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help

Treyvion runs a total of 48 miles in 12 days, how many miles can he run in 20 days?​

Answers

Answer:

80 miles in 4 days.

Step-by-step explanation:

48/12 = 4

4 miles per day

4 × 20 = 80

80 miles in 4 days

Solve the following triangle

Answers

Answer:

69

Step-by-step explanation:

as , 77+x = 146(external angle) , so x = 146 - 77

so x = 69

Answer:

Step-by-step explanation:

hope you'll now how to do it by ur own.

:)

Abosolute value of -5

Answers

The absolute value of -5: 5

3x + 7x - 8 = -19

can someone please help me with this math problem

Answers

Combine like terms
3x+7x= 10x
10x-8= -19
+ 8. +8

10x= -11
————
10. 10

x= -1.1

Answer:

x= -1.1

Step-by-step explanation:

first combine like terms

3x+7x=10x

10x-8=-19

+8 on both sides

10x= -11

divide by 10

x= -1.1

check the answer

10(-1.1)-8= -19

-11-8= -19 its true

Ypu deposit $200 in an account that earns 4% simple interest. How much interest did you earn in 3 years?

Answers

Answer:

$1200

Step-by-step explanation:

we know that,

I=PTR/100=200*4*3/100=100*4*3=400*3=$1200

Answer:

1,200

Step-by-step explanation:

Work out the length of EF

Answers

Answer:

EF=2 cm

Step-by-step explanation:

Answer:

EF = 2 cm

Step-by-step explanation:

HK = HG + GK

10 = 4 + GK

GK = 10 - 4

GK = 6 cm

or

KG = 6cm

[tex] \triangle EGH \cong\triangle KGF... (given) [/tex]

[tex]\because EG\cong KG.. (cpct) [/tex]

[tex]\therefore EG = 6 cm [/tex]

[tex]\because FG\cong HG.. (cpct) [/tex]

[tex]\therefore FG = 4 cm [/tex]

EF = EG - FG (E-F-G)

EF = 6 - 4

EF = 2 cm

7/3 into a mix number

Answers

Answer: 2 1/3

Step-by-step explanation:

Answer and Step-by-step explanation:

To turn [tex]\frac{7}{3}[/tex] into a mixed number, we see how many times 3 goes into 7.

3 goes into 7 two times, so we put a  two on the outside.

[tex]2\frac{1}{3}[/tex]

^ This is your answer, cause when you do 3 times 2, plus the numerator (1), you get 7.

#teamtrees #WAP (Water And Plant)

equations with variables on both sides that make the answer x=8

Answers

Answer:

x/4 = x-6

Step-by-step explanation:

x/4 = x-6 makes x = 8

Hope this helps!!!

please help me with geometry question :)

Answers

Given:

The graph of a triangle ABC.

A line is parallel to AC and passes through the point D.

To find:

The point at which the intersection of this parallel line be with the line BC.

Solution:

From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).

Slope of AC is

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{1-7}{9-1}[/tex]

[tex]Slope=\dfrac{-6}{8}[/tex]

[tex]Slope=\dfrac{-3}{4}[/tex]

Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].

The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex]              ...(i)

From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.

Putting x=9, we get

[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{16}{4}[/tex]

[tex]y=4[/tex]

Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).

139 invitations to 38 invitations,what is the percent change?

Answers

Answer:

Step-by-step explanation:

decrease of 139-38 = 101

101/139 ≅ 0.727 = 72.7%

il find the distance bin the orgin
and the lone x = 4x-34=10​

Answers

Answer:

11 units from the origin

Step-by-step explanation:

When graphing the line 4x-34=10, it intersects the x-axis 11 units from the origin.

If gasoline costs $3.28 per gallon, how much would 15.5 gallons cost?

Answers

Answer:

$50.84

Step-by-step explanation:

By multiplying $3.28 × 15.5 = $50.84

please solve and receive brain list ​

Answers

Answer:

26 = -28 - 12

Step-by-step explanation:

1. 12 x 1 - 12 x 3x

2. 8x - 36

Answer:

x = 1

Step-by-step explanation:

6x + 26 = 8x - 12(1 - 3x)

6x + 26 = 8x - 12 + 36x

6x + 26 = -12 + 44x

-6 + 6x + 26 = -12 + 44x - 6

26 = -12 + 38x

12 + 26 = -12 + 12 + 38x

38 = 38x

38/38 = 38x/38

1 = x

HURRY
1.3(2x + 4) + 2(3x – 4)
2. Evaluate the expression for x=5

Answers

Answer:

According to my evaluations this equation is very petty and most likely has an answer. There are variables and numbers "3x". This part of the equation makes me feel special because 3 is a prime number. It is also mysterious because we dont know for sure what x is. This equation teaches the mathematician the true meaning of life. As it demonstrates the complexity, the information you know for sure and the information that you will learn in the future. The reader will also learn that not all problems can be solved and the ones that can be solved should be solved with varying difficulty. Finally the individual will realize that everyone has their own method to solve problems and go about life. In conclusion, this pretty equation teaches the mathematician about the importance of hard work and acceptance of everyone in their community.

Answer:

8.6x-2.8

Step-by-step explanation:

Also i feel like ik u from school or something.

There was this girl who had the exact last name and first name

Can a quadrilateral be both a rectangle and a rhombus

Answers

Answer:

no, a rectangle must have 4 right angles and opposite sides are congruent

a rhombus must not have right angles and all sides are congruent

Step-by-step explanation:

Answer:

no

Step-by-step explanation: no it cant since a rhombus has 4 equal sides while a rectangle has 2 sets of equal sides.

Jim needs to move his firewood from his truck to the woodpile in his house. He estimates that he will move 1/8 of the total wood in 45 minutes. Which unit rate can he use to help him plan how long it will take for him to move all the firewood?
Please explain how you got to answer

Answers

1/6 of the wood in one hour. Let me help you with future problems i use this app called socratic it helps alot trust

Solve for x in the equation X2 - 10x+ 25 = 35.
o
X
<= 5+2.15
X=5+ 35
X = 10+ 2.15
X= 10+ 35

Answers

x²-10x + 25 = 35

x²-10x = 35-25

x²-10x = 10

x(x-10) = 10

x = 10

x-10 = 10
x = 10+ 10
x = 20


so x = 10 , x = 20

Find the slope of the line that passes through (10,5) and (3,2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
I NEED THIS ASAP!!

Answers

the answer is 3/7, 5-2=3 and 10-3=7

classify the number -4_6/7 in as many ways as you can

Answers

-34/7 is the exact form -4.857142 repeating

1. Given: Angle 2 is 65 degrees.

(a) What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.
(b) What is the angle measurement of Angle 7. Explain the angle relationship used and show your work.
(c) What is the angle measurement of Angle 3. Explain the angle relationship used and show your work.

Answers

Answer:

Part A. Angle 4 is 115         Part B. angle 7 is 65        Part C angle 3 is 65

Step-by-step explanation: Part A. Is a corresponding angle of 1 and 4         Part B. alternate exterior angle of 2      Part C. corresponding angle of 7

What is the equivalent measure of 2.8 grams in hectograms?

Answers

Answer:

0.028 hectograms

Step-by-step explanation:

1 gram = 0.01 hectograms

The ratio of the length to the width of a map is 5 to 2. The map is exactly 15 inches in length. What is the width of the map? A. 6 inches B. 7 inches C. 10 inches D. 12 inches

Answers

A. 6 inches

5:2 = 15:?
5 x 3 = 15, so 2 x 3 = your answer, 6.

how do I simplify each expression by combining like terms for this problem
-7+13x+2x+8​

Answers

Answer:

the answer would be 15x+ 1

Step-by-step explanation:

Answer:

1 + 15x

Step-by-step explanation:

-7+13+2x+8   separate the terms

-7+8 = 1

13x + 2x = 15x  put them together

1+15x

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