Which of the following probabilities is the greatest for a standard normal distribution?
O P(-1.55zs-0.5)
O P(-0.5 Sz50.5)
P(0.5 <251.5)
O P(1.5 sz<2.5)

Answers

Answer 1

Answer:

B

Step-by-step explanation:

On edge

Answer 2

The probabilities is the greatest for a standard normal distribution is

P(-0.5 ≤ z ≤ 0.5) = 0.382.

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.

From the diagram attached below, we can write

1. P( -1.55 ≤ z ≤ -0.5)

= 0.092 + 0.15

= 0.242

or, 9.2%+15%=24.2%.

2. P( -0.5 ≤ z ≤ 0.5)

= 0.191 + 0.191

= 0.382

3. P( 0.5 ≤ z ≤ 1.5)

= 0.15 + 0.092

= 0.242

4. P( 1.5 ≤ z ≤ 2.5)

= 0.044 + 0.017

= 0.061

So, the greatest value is P(-0.5 ≤ z ≤ 0.5) = 0.382

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Related Questions

An airplane is flying from Redville to leek.The airplane flies 50 miles East and then 180 miles South .how far is leek from Redville directly

Answers

Answer:

230

Step-by-step explanation:

Which equation is correct? (6 points)
cot x° = opposite ÷ adjacent
sec x° = opposite ÷ adjacent
sec x° = adjacent ÷ opposite
cot x° = adjacent ÷ opposite

Answers

Answer:

option d or last one

GOOD LUCK FOR THE FUTURE! :)

Answer:

The answer is cotx=adjacent/opposite

Step-by-step explanation:

I took the test and this is correct!!

Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y-coordinate is 30.

Answers

Step-by-step explanation:

Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.

Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.

=> (0) = a[(40) - 10]² + 30

=> 900a + 30 = 0, a = -1/30.

Hence the rule is y = -(x - 10)²/30 + 30.

6/7 into two decimal places.

Answers

Answer:

0.86

Step-by-step explanation:

You will get 0.85714.....

Then 0.86 is 2 dp

sorta need answer asap

Answers

The modal class would be:

60 < x < 80

Hope this helps!

Three students snow shoveled driveways and sidewalks after the last snow
storm. They earned a total of $210. If they split the money evenly how much
did each student recelve?

Answers

Answer:

Each student receives $70 dollars each.

Step-by-step explanation:

Whats the volume of them combined

Answers

Answer:

72

Step-by-step explanation:

2x2x13=52

2x2x5=20

52+20=72

A student organization at a local college posted a poll on its website. After a semester, the results were tallied, and it was found that 95% of the respondents were in favor of raising fees to increase funding for student organizations. This conclusion was based on data collected from 5000 votes cast on the website. Which sampling technique is being used

Answers

Answer: voluntary response sampling

Step-by-step explanation:

Based on the information given in the question, the sampling technique that is being used is the voluntary response sampling.

A voluntary response sampling refers to a sample which is gotten when a researcher tells the members to join a particular sample and then the ones that are interested then joins. Such participants volunteer voluntarily and take part in the research studies and give their opinions on the topic.

Since the student organization at a local college posted a poll on its website and the interested students took part, it is a voluntary response sampling.

You deposit $400 in an account earning 5% interest compounded annually. How much will you have in the account in 15 years?

Answers

Answer:

$700

Step-by-step explanation:

400 x .05=20

20x15=300

300+400=700

10√1/5 find the mixed surd..

Answers

Answer:

2√5............or..........4.47214

The answe is —————- what that person sai do

Wren and Jenni are reading the same book. Wren is on page 12 and reads 3 pages every night. Jenni is on page 7 and reads 4 pages every night. After how many nights will they have read the same number of pages? How many pages will that be?

Answers

Answer:

After 5 nights they will have read the same number of pages. It would be 27 pages.

Step-by-step explanation:

12+3x=7+4x

12=7+x

5=x

12+3(5)=27

7+4(5)=27

Hope this helps!:)

Wren: 12+ 3x
Jenni: 7+4x
So set them equal to each other to find the answer for how many nights it would take.

12+3x=7+4x
5+3x=4x
5=x
So 5 NIGHTS

To find how many pages that is, plug in 5 for either equation.
7+4(5)= 27
12+3(5)= 27
So 27 PAGES

It takes 6 labourers 7 days to complete a job. How many labourers would it take to complete the job in 3 days?
I
labourers​

Answers

Answer:

12 or 13

Step-by-step explanation:

14 labourers complete the job in 3 days.

What is the ratio?

The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Given data as :

It takes 6 labourers 7 days to complete a job,

Amount of work completed by 6 labourers over 7 days  = 1

Six labourers completed part of the work in one day = 1/7

one labourers completed part of the work in one day  = (1/6)(1/7) = 1/42

Let x number of labourers complete the job in 3 days.

x × 3 ×(1/42) = 1

x = 42/3

x = 14

Hence, 14 labourers complete the job in 3 days.

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Nathan has $40 in a savings account. The interest rate is 5% per year and is not
compounded. How much interest will he earn in 1 year?
Use the formulai = prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and is the time in years.
Submit

Answers

Answer:

He will earn 2 dollars per year with 40 dollars in his account. the next year he will get 2.1 dollars.

Step-by-step explanation:

Coordinate double equation

Answers

Answer:

????

Step-by-step explanation:

Sorry I can’t help but maybe another question

The distance between a chord and the center of a
circle is 4 cm. What is the radius of the circle if
the chord measures 16 cm?

Answers

It’s 4cm because the radius is half the diameter

Consider the graph of the function
f(x)=2^x



Answers

Answer:

D. The y-intercept is at (0,2)

Step-by-step explanation:

f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x

In the exponential function ab^x a is the y-intercept (in this case a is 2)

Y-intercept of g(x) at (0,2) which is correct option(D).

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

f(x) = 2ˣ

g(x) = 2f(x) = 2(2ˣ)

The y-intercept of g(x) = 2f(x),

Substitute in 0 for x and solve for y

y=2(2⁰)

Anything raised to 0 is 1 .

y=2

Y-intercept in point form.

Hence, y-intercept of g(x) : (0,2)

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Cody put 4 plates on the table. He put 1 Apple on each plate.what number sentence can be used to find the total number of apples on the table?

Answers

4 divided by 1 equals 4

In need help with this

look at picture

Complementary angles

Answers

Answer:

x = 28

Step-by-step explanation:

x + 40 + 22 = 90      {Complementary angles}

        x + 62 = 90

              x = 90 - 62

              x = 28

22+(x+40)= 90
22+x+40=90
62+x=90
X= 90-62
X= 28 degrees.
Hope this helps .
Please mark me brainliest

Help please I will give Brainliest

Answers

Answer:

Reduce the expression, if possible, by eliminating common factors.

Exact form:

1/30

Decimal form:

0.03

Is Andrew correct or incorrect explain

Answers

Andrew is incorrect

because 2^28 = 268,435,456

follow me

Answer:

Andrew is incorrect.

Step-by-step explanation:

He is incorrect because instead of multiplying 2 x 28, he should have did 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2, which is 268,435,456.

I tm pretty sure this is correct, please comment if it is right or wrong

The coefficients in the expansion of (x + y)^6 are

Answers

Answer:

Polynomial Degree:

6

Leading Term:

x⁶

Leading Coefficient:

1

Answer:

Step-by-step explanation:

hello :

here is an solution

Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.

Answers

Answer:

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

[tex]P(t) = 574e^{rt}[/tex]

P'(0)=50

[tex]P^{\prime}(t) = 574re^{rt}[/tex]

Since P'(0)=50

[tex]574r = 50[/tex]

[tex]r = \frac{50}{574}[/tex]

[tex]r = 0.0871[/tex]

So

[tex]P(t) = 574e^{0.0871t}[/tex]

Estimate the size of the population in 10 days

This is P(10).

[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]

The estimated size of the population in 10 days is of 1372 mosquitos.

The size of the population of mosquito follows an exponential model.

The size of the population in 10 days is 1370

The given parameters are:

[tex]\mathbf{P(0) = 574}[/tex]

[tex]\mathbf{P'(0) = 50}[/tex]

An exponential function is represented as:

[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]

So, we have:

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

Differentiate

[tex]\mathbf{P'(t) = 574r}[/tex]

Substitute 0 for t

[tex]\mathbf{P'(0) = 574r}[/tex]

Substitute [tex]\mathbf{P'(0) = 50}[/tex]

[tex]\mathbf{50 = 574r}[/tex]

Divide both sides by 574

[tex]\mathbf{0.087 = r}[/tex]

So, we have:

[tex]\mathbf{r = 0.087 }[/tex]

The function becomes

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]

In 10 days, t = 10.

So, we have:

[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]

[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]

Solve

[tex]\mathbf{P(10) = 1370}[/tex]

Hence, the size of the population in 10 days is 1370

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Tasha graphs a star with one tip at point ​S(-​3,1). What are the coordinates of the corresponding point after a 90 rotation about the​ origin?

Answers

Answer:

(-1,-3)

Step-by-step explanation:

i will give brainliest if your answer is correct

Answers

Answer:

Faces

Step-by-step explanation:

They both have 5 faces each....

Hope it helps!!!

using number line write the integer which 5 more than -3​

Answers

Answer:

x = 2

Step-by-step explanation:

We need to write an integer that is 5 more than -3.

Let the integer be x.

So,

x = 5+(-3)

x = 5-3

x = 2

Hence, the required integer be 2.

Multiply the sum 5 and 3 and the sum of 8 and 9

Answers

Answer:

8 x 17 = 136 give me brainliest

Step-by-step explanation:

Use summation notation to write the series -1 + 2 + 5 + 8 + 11... for 10 terms, then evaluate the sum.

Answers

Answer:

-1 + 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26

10 terms

sum = 125

PLEASE HELP!!
How do I solve this?!?!?​

Answers

Answer:

id say just try your best or guess

Step-by-step explanation:

ouu try to put it in a calculator but uhm my answer would be a

1. The ratio of Allison's weight to Brett's weight was 4:5. If Allison's weight
increased by 5 lbs. and Brett's weight decreased by 1

Answers

Answer:

the ratio would be 9:4 because you just add

Step-by-step explanation:

just add the rstio

Please help me with this question

Answers

Answer:

An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2

Step-by-step explanation:

plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2

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