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

#SPJ4

Related Questions

Abosolute value of -5

Answers

The absolute value of -5: 5

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 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.

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%

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.

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

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

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

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

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

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)

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

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

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.

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

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

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

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!

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]

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:

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

-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

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).

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!!!

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

Answers

-34/7 is the exact form -4.857142 repeating

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.

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.

:)

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

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

Other Questions
Write a narrative story that describes the house in the past when it was once occupied Zendaya runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold. Define the variables that you use to write the system. Can someone help me with the first question please say true false .empty set is the subset of any set 250-{(135+34)(46-33)}-15 simplify With your partner seated, what movement of the spine could you ask him to perform so you can feel the movement of the spinous processes? Assignment 1.4VOLUME OF SPHEREThe radius of sphere 'r' is measured with vernier callipers as(r+Ar)= (2.25 +0.01) cm. Calculate the volume of sphere. (47.7+0.6) cm.PHYSICS A property is sold for $899,999. The buyer has paid $17,000 as earnest money and is obtaining a 65% loan. Based on the information provided, how much additional cash will the buyer have to bring to the closing day? Draft Summary of the Business Model Canvas ENT 436 week 5 23. Which equation translates y = | x | by 8 units to the left?y = |x-81y = |x + 81y = |x|-8y = |x | +8 Effects of (music-based) rhythmic auditory cueing training on gait and posture post-stroke: A systematic review A teacher gave a test to a class in which 10% of the students are juniors and 90% are seniors. The average score on the test was 84. The juniors all received the same score, and the average score of the seniors was 83. What score did each of the juniors receive on the test Which one of the following is unlikely to be an effective or attractive way to try to reduce total production costs per pair at a particular production facility Solve 3[-x + (2 x +1)]=x-1 From points a and b on level ground the angles of elevation of the top of a building are 25degree and 37 degree respectively. if [ab] =57m, calculate to the nearest metre, the distances of the top of the building from a and b if they are both on the same side of the building Analyze the diagram below and complete the instructions that follow. (7x - 3) (12x -7) Solve for x. susan has discovered that the smart card-based locks used to keep the facility secure are not Southwest Airlines offers vacation packages that include airfare, car rental, and lodging. Southwest is using a(n) ________ pricing strategy. How does bank 2. 0 stand up against the competitors in the industry? Based on what you have learned about gothic literature, write a 3- to 5-page short story that incorporates some of the gothic elements discussed in this lesson, such as figurative language and sensory details. To improve your story, helpful writing practices include brainstorming, outlining, writing a first draft, and then reviewing and revising your story.