hi po pahelp ito pls pls pls pls pls pls pls​

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 60, thus:

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

[tex]Z = \frac{60 - 87}{25}[/tex]

[tex]Z = -1.08[/tex]

[tex]Z = -1.08[/tex] has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the p-value of Z when X = 110, thus:

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

[tex]Z = \frac{110 - 87}{25}[/tex]

[tex]Z = 0.92[/tex]

[tex]Z = 0.92[/tex] has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is 1 subtracted by the p-value of Z when X = 125, thus:

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

[tex]Z = \frac{125 - 87}{25}[/tex]

[tex]Z = 1.52[/tex]

[tex]Z = 1.52[/tex] has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at https://brainly.com/question/24863330

Answer:

it is continues

Step-by-step explanation:

it is continues

Assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

Recall:

What is done to both sides of an equation will determine what property of equality was applied to the equation.

a + 2 = y

(a + 2)/3 = y/3

Observing the equation stated above, we will see that both sides of the equation was divided by three. This makes both sides equal.

Therefore, assuming that a + 2 = y, the property that was applied to arrived at (a + 2)/3 = y/3 is the: division property of equality.

Learn more here:

https://brainly.com/question/13260378

Step-by-step explanation:

thanks for the 5 points

......

Answer:

seven and a half

Step-by-step explanation:

Answer:

6740

Step-by-step explanation:

Answer:

There is no function provided

FYI

Domian is all x-values

range is all y-values

For ex..

(-3,6)

-3 is domain

6 is range

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) 120 / 2 = 60°

B) 180 - 90  60 = 30°

C) 60° same as arc length GE in part A above

D) 9 units = Rsinθ = 18sin30

Answer:

[tex]\sf\longmapsto \: x = 6[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x = 14 - 2[/tex]

[tex]\sf\longmapsto \: 2x = 12[/tex]

[tex]\sf\longmapsto \: x = \frac{12}{2} [/tex]

[tex]\sf\longmapsto \: x = 6[/tex]

Answer:

x = 6

Step-by-step explanation:

Hey there,

[tex]2x =14-2\\2x=12\\\frac{2x}{2}=\frac{12}{2} \\x = 6[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

b

Step-by-step explanation:

pls mark me as brainliest pls

Answer: the sun is 389.015069067 times further away from earth to the moon

Step-by-step explanation: 92935700/238990=389.015069067

Answer:

-28

Step-by-step explanation:

You have to do the parenthesis 1st, then the [tex]\frac{8}{3}[/tex], and multiply the result :D

Answer:

-9m-4

Step-by-step explanation:

Move the -4 to the right hand side by adding 4 to both sides, like this: To the left hand side:

-4 + 4 = 0

9m ‹ 5m

Answer:

19 19/20 in fraction

19.95 as a decimal

Step-by-step explanation:

Answer:

19 and 19/20

Step-by-step explanation:

The bar in a fraction stands for dividing

so you divide 399 by 20 which is 19 and 19 remainder

you turn the remainder into a fraction and the number into a whole number

Step-by-step explanation:

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells. This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells

In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells.

Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells.

This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.

To know more about cell theory follow

https://brainly.com/question/1594446

Answer:

What makes a number friendly?

In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and the number itself. Two numbers with the same "abundancy" form a friendly pair; n numbers with the same "abundancy" form a friendly n-tuple.

Step-by-step explanation:

Answer:

how much is 1 gram of raisins worth in money

Step-by-step explanation:

Answer:

How much of 1 gram of raisin was worth in money

-3/5  is greater than -4/5

Step-by-step explanation:

If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.

Step-by-step explanation:

customer need to purchase each year to save money = 100/15 × $12

= 1200/15

= $80

Answer:

Step-by-step explanation:

To save money, the customer needs to save the cost of the card first.

Solve it by ratios:

Solve for x:

Answer:

6

Step-by-step explanation:

=15+21+17+26+18+29/

/ 21

=126/21

=6

Answer:

$37.52

Step-by-step explanation:

Answer:which one

Step-by-step explanation: which one 50

Answer:

Relfection over the x axis

Step-by-step explanation:

It is the name shape but flipped onto the other side, therefore it is a reflection

Answer:

6237

Step-by step explanation

60 x 30 = 1800

30x3=90

9x60=540

9x3=27

1800+90+540+27=6237

Answer:

Horizontal Asymptote:    y=2

Vertical Asymptote: x=3

Step-by-step explanation:

One way: Look at graph

Look at for a horizontal or vertical line that both lines don't touch.

Second Way:

When you look for vertical asymptotes, you set the denominator equal to zero and solve.

For example, the second question has a denominator of x-3.

x-3=0

x=3 (This is the vertical asymptote)

When you look for horizontal asymptote, you do long division.

For example, the first question [tex]f(x)=\frac{2x}{x-3}[/tex]

The answer will be 2. 2 is the quotient. You only want quotient not remainder.

y=2.

Answer:

250

Step-by-step explanation:

As a decimal 253 and 19/23 can be written as 253.73

If we think about 253.73 being closer to 250 or 260, we can see that it is closer to 250, so that is the nearest ten we will round to.

Even if it is too difficult to convert to a decimal, if we round 19/23 to 23/23, our number becomes 254. The nearest ten is still 250.

Step-by-step explanation:

Definition of temperature:

The tendency of a substance or an object to transfer heat to its surroundings.

Definition of the thermodynamic temperature:

The Kelvin, unit of thermodynamic temperature, is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water

Answer:

yes Bro it is correct ar u writing an exam

Answer:

The answer is 4

Step-by-step explanation:

2(2/3)2(1/2)3