For a normal distribution, find the probability of being (a) Between −1 and +1 (b) Between 3 standard deviations below the mean and 2 standard deviations above the mean (c) More than 3.5 standard deviations away from the mean Use the Standard Normal Table in your textbook or Excel to obtain more accuracy.

Answers

Answer 1

Using the normal distribution, the probabilities are given as follows:

a) 0.6826 = 68.26%.

b) 0.9759 = 97.59%.

c) 0.0004 = 0.04%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Item a:

The probability is the p-value of Z = 1(0.8413) subtracted by the p-value of Z = -1(0.1587), hence:

0.8413 - 0.1587 = 0.6826

Item b:

The probability is the p-value of Z = 2(0.9772) subtracted by the p-value of Z = -3(0.0013), hence:

0.9772 - 0.0013 = 0.9759.

Item c:

This probability is P(|Z| > 3.5), which is 2 multiplied by the p-value of Z = -3.5, which is of 0.0002.

Hence:

2 x 0.0002 = 0.0004 = 0.04%.

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Related Questions

Which solution value satisfies the inequality x + 10 > 12?
Question 1 options:

A)

x = 3

B)

x = –1

C)

x = 0

D)

x = 2

Answers

Answer:

A) x=3

Step-by-step explanation:

As for B, C, and D,

if x=-1, 9>12 is not true,

if x=0, 10>12 is not true

if x=2, 12>12 is not true

Discriminant sorting

Answers

Answer: Discriminant sorting activity: Work with two other people, and find the discriminant of the quadratic equations you are given (each person should do 2). Sort them into 3 groups, and be prepared to explain how you chose your groups.

Step-by-step explanation:

PLs HALP will give brainliest

Answers

Your answer for this question will be C

Answer:

C. 1/3x - 9

Step-by-step explanation:

Ok so....

-3 + -6 is just -9 so instead of writing all that we can just write -9.

So what you should have now should look something like this

2/3x - 1/3x - 9             ( I just put it in a different order )

So now we can see things in common. Which is the 2/3x and the 1/3x. When you subtract both of them it will give you a total of 1/3x. *NOTE : WE DO NOT SUBTRACT THE 9 WITH IT BECAUSE IT IS NOT COMMON WITH THE OTHER NUMBERS* Now your problem should look like this

1/3x - 9

Which is the answer!!

TAADAA!!

Hope this helps. Have a good day!

Which circle shows AB that measures 60 degrees

Answers

Answer:

The central angle is the measure of minor arc AB. The central angle here is 60 degrees, shown by the third circle down from the top. This is the right answer.

Step-by-step explanation:https://brainly.com/question/12790519#:~:text=The%20central%20angle%20is%20the,This%20is%20the%20right%20answer.

Please Help! I need to turn this in today!

Answers

Answer:

45

Step-by-step explanation:

The answer would be 45

i need help asap:

The lengths of a triangular plot of land
measure 19 yards, 23 yards and 27 yards.
Find the largest angle for this plot of
land.

Answers

Answer:

79.4° to the nearest tenth of a degree

Step-by-step explanation:

You are trying to find the angle opposite the side of length 27.

Let the length of that  side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for

Using the law of cosines

[tex]c = \sqrt{a^{2} + b^{2} - 2abcos C}[/tex]

[tex]27 = \sqrt{19^{2} + 23^{2} - 2(19)(23)cosC}[/tex]

[tex]27^{2} = 19^{2} + 23^{2} - 2(19)(23)cosC[/tex]

729 = 361 + 529 - 874cosC

729 = 890 - 874cosC

-161 = -874cosC

-161/-874 = cosC

.1842105.... = cosC

C = arccos .1842105.... = 79.4° to the nearest tenth of a degree

I need help with this math problem please help.

Answers

Answer:

A

Step-by-step explanation:

since the shaded area is before x=-3 and x=-3 is a dashed line, x<-3 is the answer for x. That knocks out half the answers. the slope intercept form for the other line is y=-x-1. The answer with the slope as y would be the answer for the second half. A has both answers correct. (sorry for bad explaination, I am not a native speaker)

Linda can drive 180 miles in 3 hours. On Tuesday, she drove for 7 hours at that rate. How many miles did she drive on Tuesday?

Answers

180/3= 60 mph
60 x 7= 420
420 miles drive on tuesday

have a good day:)

Answer: 420

Step-by-step explanation:

I took the test and got it right lol

Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.​

Answers

Answer:

y = 1/20x + 6

Step-by-step explanation:

The number of minutes is your x-value. The amount charged is your y-value.

Let's convert the numbers in the table into coordinates.

(30, 7.5)

(120, 12)

(220, 17)

Now, we will take two points and use the slope formula to plug into the slope-intercept equation: y = mx + b

I chose the first and last points given. All three points do not lie on the same line, but using the first and last point should be closer to the line of best fit.

(30, 7.5) & (220, 17)

m = (y₂ - y₁) / (x₂ - x₁)

m = (17 - 7.5) / (220 - 30)

m = (9.5) / (190)

m = 0.05 = 5/100 = 1/20

m = 1/20

Plug m into your equation.

y = 1/20x + b

To find b, plug in a point for x and y.

17 = 1/20(220) + b

17 = 11 + b

b = 6

Plug b into your equation.

y = 1/20x + 6

Hope this helps!

Divide.
14)4210
O A. 300 r 10
O B. 300 r 7
O C. 300
O D. 310


no rush at all lolz.!

Answers

300 with a remainder of 10

3 0 0

1 4 | 4 2 1 0

4 2

1 0

Therefore, 4210 / 14 = 300 with a remainder of 10.

300 with a remainder of 10

Please answer :)

( Will give brainlst)

Answers

Answer:

thank you for give me some time

Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer:

Answers

Answer:

a) P(X=1) = 0.302526

b) P(X=5) = 0.010206

c) P(X=3) = 0.18522

d) P(X≤3) = 0.92953

e) P(X≥5) = 0.010935

f) P(X≤4) = 0.989065

If helpful, please mark as brainliest! =)

Given a random variable x following binomial distribution. If n = 25 and p = 0.85, the variance = 3.1875.

What is variance of binomial distribution?

Variance of the binomial distribution is a measure of the dispersion of the probabilities with respect to the mean value. The variance of the binomial distribution is σ² = npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.

Given random variable x follows binomial distribution.

n = 25

p = 0.85

q = 1 - 0.85 = 0.15

variance = npq = 25 * 0.85 * 0.15 = 3.1875

Learn more about variance of binomial distribution here

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if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?​

Answers

Answer:

cost of 1 tie = 11

cost of 1 shirt = 52

Step-by-step explanation:

A 15-passenger van is
rented for a family vacation.
The van rental is 460 per
day, plus a $145 insurance
fee. How many days can the
van be rented if they want to
spend no more than $625 on
the van rental. Write and
solve an inequality

Answers

Answer:

Inequality is 460x+ 145 [tex]\leq[/tex] 625 (I can't put the less than or equal to sign down sorry)

Step-by-step explanation:

Which angle is an alternate interior angle to 8?

Answers

Answer:

<5

Step-by-step explanation:

Interior angle Kasi eh hihi

Courtney sold 48 cantaloupes at the farmers' market and had 23 left. Which equation could be used to find x, the number of cantaloupes Courtney had originally?

Answers

Hi there!

48-x=23

23+x=48

those would be the equatipns to find x....

Answer:

uwu

Step-by-step explanation:

uwu

Write the third column of the matrix as a linear combination of the first two columns, if possible. (If not possible, enter IMPOSSIBLE on both answer blanks.) 1 2 15 7 8 57 6 5 34

Answers

Answer:

Elements in third column = - (elements in the first column) + 8(elements in the second column)

Step-by-step explanation:

A matrix is a rectangular array in which elements are arranged in a rows and columns.

Order of a matrix = Number of rows × Number of columns

Given matrix is [tex]\left[\begin{array}{ccc}1&2&15\\7&8&57\\6&5&34\end{array}\right][/tex]

Here,

[tex]15=-1+8(2)\\57=-7+8(8)\\\34=-6+8(5)[/tex]

So,

Elements in third column = - (elements in the first column) + 8(elements in the second column)

do this and show work

Answers

Answer:

first: x=1.3024

second: x=12.29

third: x=22 degrees

Step-by-step explanation:

sin 19=x/4

0.3256=x/4

x=1.3024

sin 19=4/x

0.3256=4/x

x=4/0.3256

x=12.29

sin x=3/8

sinx=0.375

x=22 degrees

Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)

Answers

Answer:

85.99% of airline passengers incur this fee.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean 46 pounds and standard deviation 3.7 pounds.

This means that [tex]\mu = 46, \sigma = 3.7[/tex]

Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.

As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{50 - 46}{3.7}[/tex]

[tex]Z = 1.08[/tex]

[tex]Z = 1.08[/tex] has a pvalue of 0.8599

0.8599*100% = 85.99%

85.99% of airline passengers incur this fee.

When you graph two lines to a system what are the 3 possible outcomes?

Answers

Answer:

infinite solution, one solution, no solution

Step-by-step explanation:

hope this helped:)

How much interest would you have if you deposited $200 that if you deposited $150? ​

Answers

Answer:

Difference = 206 - 154.5 = $51.5

In short, Your Answer would be: $51.5

Sarah lives in Ruthin and works in Oswestry for 5 days a week. each day she travel to and from work. Work how many miles does she commute a week​

Answers

Answer: 330 miles

Step-by-step explanation:

The distance provided for the question is:

Wrexham

18 Ruthin

21 12 Cornwen

15 33 23 Oswestry

What this means is that Ruthin and Oswestry are 33 miles apart.

Each day, Jane travels back and forth for a total of:

= 33 * 2

= 66 miles

In 5 days she would have travelled:

= 5 * 66

= 330 miles

Does anybody know how to do this or at least part of it anything would really help!!

Answers

Answer:

So the given equation is h= -5t^2+40t

the first question asks when it will be 75 meters above the ground. So plug in 75 for h and find t

75= -5t^2+40t

start by dividing everything by 5

15= -x^2 + 8x

then you can add x squared to both sides and subtract 8x

x^2 - 8x + 15 =0

then you can plug it into the quadratic formula, which is a pain to type so I did it on paper.

x = 5 or 3

so it will be 75 meters above the ground at 3 seconds and 5 seconds

Rewriting the equation

ok so I accidentally already factored it when I divided everything by 5...

I believe the answer here is x^2 - 8x + 15 =0

The meaning of the x intercepts is when h=0 or the object is 0 meters above the ground (basically when it starts and when it ends)

the maximum height is greater than 75 because it gets to 75 meters 3 seconds after it is thrown, and continues going higher before it comes back to 75 two seconds later.

The object is airborne for 8 seconds because the second x intercept is at (8,0)

solve for n.

1.) 7.26 × 0.22=n
2.) 17.92 × 0.64=n
3.) 7.65 × 0.65=n
4.) 36.20 × 0.05=n
5.) 31.86 × 0.92=n​

Answers

Answer:

1.) 1.5972

2.) 11.4688

3.) 4.9725

4.) 1.81

5.) 29.3112

find the product 27x3

Answers

Answer:

81

Step-by-step explanation:

2

27

x 3

------

8 1

Answer:

81

Step-by-step explanation:

27 × 3

81

1. It is the time needed for half of a substance to decay.??​

Answers

Answer:

The half-life (t1/2) is the time taken for the activity of a given amount of a radioactive substance to decay to half of its initial value.

P/S 1: Are you sure that your question is related to maths?

+ Bonus: The half-life can be calculated from the decay constant as follows: half-life = ln (2) / (decay constant).

P/S 2: Not sure which is right tho:( Really sorry about that.

Multiply the following complex numbers. Reduce terms and simplify. Explain how your simplified result and the first term in the pair below are related algebraically to each other and to the complex number (1 + i).

1 1 - i
_____ * _____
1 + i 1 - i

Answers

Answer:

= 1/2 - 1/2i

Step-by-step explanation:

How do you make it 8

Answers

Answer:

I think you spend 14 points on it

Answer:

4+4=8

Step-by-step explanation:

I hope it's helpful!

Have a nice day!

PLZZZZZZZZ HURRY

When plotting points on the coordinate plane below, which point would lie on the y-axis?

A coordinate plane.

(0, 1)
(7, 0)
(6, 8)
(8, 2)

Answers

Answer:

0,1 lies on y axis ......

Step-by-step explanation:

option A (0,1) point will lie on the y axis as on y axis x coordinates is 0.

Suppose that you and your friends attend a basketball game. You buy a block of 8 tickets for $192. You want to know the price per ticket. That price can be expressed as a unit rate. What is that rate?

Answers

Answer:

$38.40

Step-by-step explanation:

you have to divide 192 by 8.

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