20. Assume that X has a normal distribution, and find the indicated probability
The mean is u - 60,0 and the standard deviation is o = 4.0,
Find the probability that X is less than 53.0.

0.9500

0.5580

0.0401

0.0002

Answers

Answer 1

Answer:0.5580

Step-by-step explanation:


Related Questions


For each of the 4 walls of the house, John will need 9 large
planks of wood. If each plank of wood needs 8 pieces of nails
to be secured, how many nails does John need for each wall
of the house?

Answers

The answer is 72 because if each plank needs 8 nails and each wall have 9 planks you multiply 9 by 8 which is 72

Grace collected 7 2/3 bins of glass bottles to recycle. Kenneth collected 7 5/6 times as many
bins as Grace. How many bins of bottles did Kenneth collect?

Answers

Answer:

Kenneth collected 60 bins of bottles.


Solution:

(7 2/5) * (7 5/6) = 60.05


What is the y- intercept of a line that has a slope of 2 and passes through (-1,3)?

Answers

Answer:

y - intercept = 5

Step-by-step explanation:

Equation: y = mx + b

Input the given values

3 = -1(2) + b

3 = -2 + b

5 = b

-Chetan K

Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 × 2.8​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

1.2×2.8

= (2-0.8)(2+0.8)

= (2)^2 - (0.8)^2

= 4 - 0.64

= 3.36

Answer:

3.36

Hope it helps.

Do comment if you have any query

-0.8 as a fraction!
Please explain I have to go in like 5 minutes!

Answers

Answer:

4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.

Please help!!

Determine whether the inverse of F(x) is a function.

Answers

Answer:

Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.

Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.

The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.

The first term of an arithmetic sequence is 4. The rule a↓n=a↓n+1 + 5 can be used to find the next term of the sequence.
a 4
b 5
c 9
d -1​

Answers

Answer:

  c.  9

Step-by-step explanation:

Using the rule, substituting 4 for a↓1, we find the next term to be ...

  [tex]a_2 = a_1 +5\\\\a_2=4 +5\\\\\boxed{a_2=9}[/tex]

Linkin Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company’s current truck (not the least of which is that it runs). The new truck would cost $55,440. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,400. At the end of 8 years, the company will sell the truck for an estimated $27,700. Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset’s estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company’s cost of capital is 8%.

Answers

The payback period of the investment is 6.6 years.

The net present value is $7,797.22.

The payback period calculates the amount of time it takes to recover the amount invested from the cumulative cashflows.

Payback period = Amount invested / cost saving

$55,440 / $8,400 = 6.6 years

Net present value is the present value of after-tax cash flows from an investment less the amount invested.  

NPV can be determined using a financial calculator

Cash flow in year 0 = $-55440

Cash flow in year 1 to 7 = $8,400

Cash flow in year 8 = $8400 + $27,700

I = 8%

NPV = $7,797.22

To learn more about net present value, please check: https://brainly.com/question/13739943?referrer=searchResult

If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum is greater than 5.
The probability is

Answers

Answer:  2/13

=====================================================

Explanation:

Refer to the dice chart below. It represents all possible ways to roll two dice and sum up the face values.

According to the table, there are...

A = 1 copy of the sum "2"B = 2 copies of the sum "3"C = 3 copies of the sum "4"D = 4 copies of the sum "5"

There are A+B+C+D = 1+2+3+4 = 10 instances where we get a sum between 2 and 5. The table shows 6*6 = 36 sums total. This means there are 36-10 = 26 sums where they are between 6 and 12, aka "the sum being greater than 5".

Those 26 sums are what we focus on. Out of those 26 items, four of them are sums of "9".

The probability we want is therefore 4/26 = 2/13

The probability that the sum of the dice is 9, given that the sum is greater than 5 is 0.154

See attachment for the sample space of a roll of two dice.

From the attached sample space,

The number of sum greater than 5 is: 26The number of sum greater than 5 that is 9 is: 6

Represent the events that a sum is greater than 5 with A, and a sum is greater than 5 is 9 with B.

So, we have:

[tex]n(A) = 26[/tex]

[tex]n(A\ n\ B) = 4[/tex]

The probability that the sum of the dice is 9, given that the sum is greater than 5 is then calculated using:

[tex]Pr = \frac{n(A\ n\ B)}{n(A)}[/tex]

This gives

[tex]Pr = \frac{4}{26}[/tex]

[tex]Pr = 0.154[/tex]

Hence, the probability is 0.154

Read more about probability at:

https://brainly.com/question/251701

Please help answer this! I will give you 10 pts! :DD ( please don't say non-sense I really need the answer! )​

Answers

Answer:

angle a = angle bac = 90 degrees

angle b = angle abc

angle c = angle acb

Identify the measure of MN in the diagram.

Answers

Where’s the diagram?

SLOVE I GIVE BRAINLEST
18+ -27

A. -45

B. -9

C. 9

D. 48

Answers

Answer:

B: -9

Step-by-step explanation:

When you add a negative number, you subtract that number.

[tex]18+-27=18-27=-9[/tex]

18 + -27
= 18-27
= - 9
Answer will be B

150-5r is greater than or equal to 87.5
Find the value of r?

Answers

Answer:

R=12.5

Step-by-step explanation:


What is the equation of the line that has a slope of 3 and goes through the point (-3,5)?
A. Y=3x +4
B. Y= 3x - 14
C. Y= 3x - 4
D. Y= 3x + 12

Answers

Answer:

C. y=3x-4

Step-by-step explanation:

I just know trust me

DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.​

Answers

Divide 296 by 16 you get 18.5 then add the 5.75 to get 24.25
So the answer is 24.25

The regular price of a ticket to the game will be $24.25  based on the given data.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given,

Total paid = $296

Number of tickets = 16

Cost per tickets = 296/16 = $18.5

This cost excludes the $5.75 saved due to the group.

Original price = $18.5 + $5.75 = $24.25

Hence "The regular price of a ticket to the game will be $24.25  based on the given data".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

Anna can jump 35 times in one minute. This is
70% as many as Alexander can jump in one
minute. How many times can Alexander jump in
a minute?

Answers

Answer:

Alex can jump 50 times in one minute.

Step-by-step explanation:

1.) Start off by creating your equation.

It says that Anna can jump 35 times in one minute. It continues to say, that this value IS 70% as many as Alexander can jump in one minute. Thus, your equation should look like this:

x represents the number of jumps Alexander can do in one minute

35 = 0.70x

2.) Solve for x

35 = 0.70x

35/0.70 = x

50 = x

I hoped this helped. Good luck!

PLZ HElp 24nanjoshua PLZZZZ

Answers

Answer: 11/14

Step-by-step explanation:

1/7 = 2/14 (when you time 2 at the top and at the bottom)

2/14 + 9/14 = 11/14

Answer - 11/14
Just do 2/14+9/14=11/14

Would anyone help me with this please, worth 20 pts.

Answers

Answer:

Below in bold.

Step-by-step explanation:

The perimeter = length of 3 sides of the square + 1/2 the circumference of the circle. The radius of the circle = 2.5 in and its circumference = 2π r and 1/2 of this is π r.

So the perimeter = 3*5 + π  r

= 15 + 2.5π

= 22.85 in  to the nearest hundredth.

What is an equation of the line that passes through the points (-2,1) and (6,-7)

Answers

The equation is y = -x - 1

Use the figure below to answer the questions. Unit 1 Test, Part 2: Basic Tools and Transformations

Answers

Answer: 35

Step-by-step explanation:

f (x)= -3x+10 and g (x) = x^2-7x
f(-5)=
g(2)=
f(4m)=

Answers

we have f (x)= -3x + 10

so f(-5)= (-3)(-5) +10 = 15 + 10 = 25

we have g (x) = x^2 - 7x

so g(2)= 2^2 - 7.2 = 4 - 14 = -10

we have f (x)= -3x + 10

so f(4m)= -3(4m)+10 = -12m + 10

ok done. Thank to me :>

Can someone give more explanation

Answers

You just have to underline the word that connects two sentences .

for example: In number 2. Sophia ate a lot. She is still hungry. These are two sentences the word 'yet' connects two sentences. that is called conjunction.

1.= under line so

2.= under line yet

3.= under line but

4.= under line so

If AD = 12 and BD = 14, what is CD?

Write your answer as a whole number or as a decimal rounded to the nearest hundredth.

a. 7
b. 10.29
C. 12.54
d. 16.33

Answers

Answer: D. 16.33

Step-by-step explanation:

A is the point with coordinate (2,10)
B is the point with coordinate (5,d)
The gradient of the line AB is 4
Work out the value of d

Answers

Answer:

d = 22

Step-by-step explanation:

Substitute given slope and A to the equation y = mx + b to find b

y= mx + b

10 = 4.2 +b

10 = 8 + b

10 - 8 = 8 - 8 + b

b = 2

Then we have y = 4x + 2 when we substitute b and m.

They give x value of point B, we can plug it in and find y value which is d in this question.

y = 4x + 2

y = 4.5 +2

y = 22

Therefore, d = 22

There are 163 girls and 157 boys in school. 27 girls and 33 boys play soccer after school. What percentage of students play soccer after school?

Answers

Answer: The answer is to this math question is 18.75% of the students play the soccer after school.

Step-by-step explanation: Here are the following steps in order to convert the given fraction to percentage of the students play the soccer after school:

Step 1. First I add the total of the students in school and then added the total of the students play the soccer after school that looks like this: [tex]163+157=320[/tex] and [tex]27+33=60.[/tex]

Step 2. Using the online fraction to percentage calculator, first I find The Greatest Common Factor of 60 and 320 that looks like this: GCF(60,320) = 20.

Step 3. I can reduce this fraction by dividing both the numerator and denominator by 20 that looks like this: 60÷20/320÷20=[tex]\frac{3}{16}.[/tex]

Step 4. I know that [tex]\frac{3}{16}[/tex] is the same as 3÷16, then using The Long Division for 3 divided by 16 that gives us: 0.1875.

Step 5. I multiply the given decimal number by 100% in order to convert the fraction to percentage of the total students play the soccer after school that looks like this: 0.1875×100=18.75%.

I hope that my given answer with my given step-by-step explanation is very helpful to your own math question about how to find the percentage of the total students play the soccer after school, please mark me as brainliest and have a great P.A. Day and weekend! :D

Sincerely,

Jason Ta,

The ambitious of Brainly and the role of The TDSB and WHCI Student of the high school.


Four candy stores are competing with each other. Which
store offers the best buy for candy?
A.) Sweet Store: 12 pack for $3.00
B.) Delicious Treats: 22 pack for $4.62
C.) Sugar Factory: 18 pack for $5.40
D.) Chocolate Shop: 36 pack for $7.20

Answers

Answer: The Chocolate shop

Step-by-step explanation:

We should get the cost per one pack for each store.

For the Sweet Store we divide 3.00 by twelve for the cost of one which is:

3 divided by 12 = 0.25

One pack at a sweet store is $0.25

Now do the same for the other stores:

4.67 divided by 22 = 0.21 (Rounded to 2 decimal points)

5.40 divided by 18 = 0.3

7.20 divided by 36 = 0.2

Sweet Store: one pack is $0.25

Delicious Treats: one pack is $0.21

Sugar Factory: one pack is $0.30

Chocolate Shop: one pack is $0.20

Therefore the Chocolate shop is giving you the best deal since each pack is cheaper.

Holding the price level constant, we would expect that if the multiplier is 1.5, the cumulative effect of this change in M on AD will be: $ billion

Answers

Holding the price level constant, we would expect that if the multiplier is 1.5, the cumulative effect of this change in M on AD will be: $ billion

Which expression is equivalent to 45 divided by (2 - x)

Answers

Answer:

 45

---------

(2 - x)

Step-by-step explanation:

That would be:

 45

---------

(2 - x)

Also valid:  45/(2 - x)

What is 6 3/4 percent of 800

Answers

Answer:

54

Step-by-step explanation:

6 3/4 = 6*4 + 3 / 4

= 27/4

=> 27/4  /100 * 800

=> 27/400 * 800

=> 27 * 2

=> 54

three-quarters the product of two numbers x and y

Answers

Answer:

xy=3/4

Step-by-step explanation:

since it says the "product"

it is x(y)

3/4 goes after the = sign

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