Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Evelyn score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Answer 1

Answer:

580

Step-by-step explanation:

Assuming that the answer should be in terms of z scores, we can calculate the z score as

z = (observed value - mean)/(standard deviation)

For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is

z = (86-71)/20 = 0.75

Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have

0.75 = (observed score - 550)/40

multiply both sides by 40 to remove a denominator

0.75 * 40 = observed score - 550

add 550 to both sides to isolate the observed score

0.75 * 40 + 550 = observed score = 580


Related Questions

Which expression can be used to find the surface area of the following triangular prism?
5
5
2.
11
8.

Answers

Answer:

214.

Step-by-step explanation:

To get Surface area take

(cross section area) × 2 +(perimeter of crossection area × length)

the cross section area is a triangle

so area of a triangle =1/2 base times height

1/2×8×2=8

let's get perimeter of cross section

the cross section is still at triangle so let's find its perimeter.

5+5+8=18

18×length of which is 11

18×11=198

and 188 + 16=214. that's the answer

maybe you can get a expression from the work that I've just done cuz I can't see the answers clearly in the picture you have taken.if you don't mind just send the picture back then I'll get the answer.

A real estate agent sold a lot for P550,000.00. If his agency pays 10% commission, how much commission will he/she receive?​

Answers

Answer:

  P55,000

Step-by-step explanation:

The amount of commission is found by multiplying the commission rate by the value of the sale(s).

  commission = rate × sales

  commission = 0.10 × p550,000 = P55,000

The agent will receive P55,000 in commission.

_____

Check

The amount of commission cannot be more than the value of the sale. It is generally a small fraction of the sale value. Here, it is 1/10.

Write (3 + 4i) + (8 + 2i) as a complex number in standard form.
А.11 - 6i
В.5 + 12i
C.7 + 10i
D. 11 + 61

Answers

Answer:

D. 11+6i

Step-by-step explanation:

3+8+4i+2i

11+6i

1. (2x^3)^4

2. 18 x^0

3. 7p ^-4

Answers

Step-by-step explanation:

1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)

2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)

3. 7/p^4

You have an account that starts at $2500 with an interest rate of 3.25% compound yearly. How much is in the account after 10 years? Round your answer to the nearest hundredth.

Answers

Answer:3,312.50

Step-by-step explanation:1. We assume, that the number 2500 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 2500 is 100%, so we can write it down as 2500=100%.

4. We know, that x is 3.25% of the output value, so we can write it down as x=3.25%.

5. Now we have two simple equations:

1) 2500=100%

2) x=3.25%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

2500/x=100%/3.25%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

Please solve this equation: 3 + 4 = 21; 2 + 5 = 14; 7 + 7 = 98; 8 + 6 = ?

Answers

Answer:

  112

Step-by-step explanation:

It appears that the relation is f(a, b) = a(a+b).

  f(3, 4) = 3(3+4) = 21

  f(2, 5) = 2(2+5) = 14

  f(7, 7) = 7(7+7) = 98

  f(8, 6) = 8(8+6) = 112

__

The symbol "+" has apparently been repurposed from its usual meaning in math. It is being used as an infix operator with two arguments. We have shown the relation above as a function f with two arguments (a, b). In our definition ...

  f(a, b) = a(a+b)

the symbol "+" has its usual meaning.

_____

Additional comment

This sort of question requires a little bit of "out of the box" thinking. It helps immensely if you're familiar with your addition and multiplication facts. Then you are in a position to recognize how the outputs may be related to the inputs.

SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!

Answers

X^2-x-11=-x-7
X^2-11=-7
X^2=4
X=2 (4 was reduced to 2 after the equation was square rooted)
Pls give brainliest so close to ranking up

[tex]\huge \dag \sf{Answer \: it}[/tex]​
[tex]solve \: for \: x \\ \\ {2}^{ {x}^{2} } 2 \frac{3x \sqrt{3} }{2} = 8 [/tex]
Don't spam and Don't copy.
Need answer with explanation
Don't answer if you don't know

Best of luck guys

Answers

Answer:

Answer: x = √3 and 8/(3√3)

Step-by-step explanation:

[tex]{ \rm{({2}^{ {x}^{2} } )(2 \frac{3x \sqrt{3} }{2}) = 8}}[/tex]

• For the first bracket:

[tex]{ \rm{ {2}^{ {x}^{2} } = 8}} \\ \\ { \rm{ {2}^{ {x}^{2} } = {2}^{3} }} \\ \\ { \rm{ {x}^{2} = 3}} \\ \\ { \rm{x = \pm \sqrt{3} }}[/tex]

• For the second bracket;

[tex]{ \rm{ 2 \frac{3x \sqrt{3} }{2} = 8}} \\ \\ { \rm{3x \sqrt{3} = 8 }} \\ \\ { \rm{3x = \frac{8}{ \sqrt{3} } }} \\ \\ { \rm{x = \frac{8}{3 \sqrt{3} } }}[/tex]

A bakery worker ordered 3000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed? A. 100 times more because there are 2 zeros in 300 B. 1000 times more because there are 3 zeros in 3000 C. 10,000 times more because there are 5 total zeros in 3000 and 300 D. 10 times more because there is 1 more zero in 3000 than in 300

Answers

Answer:

D

Step-by-step explanation:

In parallelogram ABCD, the following is true: m m
m m m m

Answers

Step-by-step explanation:

pa brainlest po

hope it help

Please help everyone!!!!! I will give you brainliest if you answer my question correctly! The average weight of 6 packages is (9m+8) pounds 2 more packages with weights of (12m + 12) pounds and (14m + 12) pounds, are added to the original 6 packages. Find the average weight of the 8 packages.​

Answers

Answer: 22m + 20

First average the 2 package weights:

(12m+12) + (14m + 12) / 2  

(26m + 24) / 2

13m  + 12

So the average weight of 2 package is 13m + 12

Now you already know the average of 6 packages that is 9m + 8. So add the 2 package and 6 package average weights.

13m + 12 + 9m + 8

22m + 20

I am not sure unless you or someone else thinks it correct. But thats it, pls forgive me if i am wrong... :(

7x – 5 – 3x = 7 – 6x solve for x

Answers

Step-by-step explanation:

7x - 3x=5 + 7

we will plus --

10x =12

x=12÷10 or 10 /12

x=12.2

a) work out the size of angle x.

b) give reasons for your answer.

Answers

Answer:

x = 75°

Step-by-step explanation:

180° - 105° = 75°

75° = 75°

Line CG is 180°. The angle of 105° is on this line, and we know that ∠F + 105° = 180° so we can subtract 105° from 180° to find ∠F. Next, ∠F and ∠x are corresponding angles, so they will be equal.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Solve -4 b + 2 = 18.

Answers

Answer:

-4

Step-by-step explanation:

Move all terms that don't include B to the right and solve

the other two options are…
c. Function A and function B both have two real solutions.
d.The vertex of function A is lower on the graph than the vertex of function B.
GIVING BRAINLIEST IF FAST

Answers

It’s B

Explanation: use desmos or trust me lol

Henry made juice from a recipe that called for 1 cup of sugar, 3 cups of lime-drink mix, and 2 gallons of water. Henry filled a container with 18 gallons of water, and used 9 cups of sugar. Based on this information, what is the total number of cups of lime-drink mix Henry used?

Answers

Answer:

27

Step-by-step explanation:

2 x 9 = 18 so

3 x 9 = 27 so that means  its 27

What’s 8 more then triple a number?

Answers

Answer:

x^3+8

Step-by-step explanation:

How does a plastic fork, whale, hospital and chocolate bar relate with each other?

Answers

Answer:

They all include the letter A

Step-by-step explanation:

Fido ate 52 containers of ice cream in 13 different flavors, with 4 of the container containing each flavor. If the first 5 containers were chosen at random, without replacement, what are the chances that 4 of those containers are the same flavor.

Answers

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.

The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.

In this problem:

There are 52 containers, hence [tex]N = 52[/tex]For each flavor, there are 4 containers, hence [tex]k = 4[/tex]5 containers are chosen, hence [tex]n = 5[/tex]

The probability of choosing all containers of one flavors is P(X = 4).

There are 13 containers, hence, the probability is multiplied by 13.

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]

13 x 0.000018469 = 0.0002

0.0002 = 0.02% probability that 4 of those containers are the same flavor.

A similar problem is given at https://brainly.com/question/25743676

The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.

Given :

Fido ate 52 containers of ice cream in 13 different flavors, with 4 containers containing each flavor. The first 5 containers were chosen at random, without replacement.

The probability according to the Hypergeometric distribution is given by:

[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]     --- (1)

where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.

Now, substitute the values of known terms in the expression (1).

[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]

[tex]\rm P(X=4) =0.000018469[/tex]

Now, multiply the above result by 13.

[tex]13\times 0.000018469=0.0002[/tex]

So, the probability that 4 of those containers are the same flavor is 0.02%.

For more information, refer to the link given below:

https://brainly.com/question/23017717

Round your answer to the nearest hundredth

Answers

Answer:

9.49

Step-by-step explanation:

Using the Pythagorean Theorem, we know a²+b²=c².

So 3²+9²=(BA)²

9+81=(BA)²

90=(BA)²

From this, we know BA=√90

BA=9.486

Rounding to the nearest hundredth, this is 9.49

Please consider a brainliest! Thank you!

I need to solve for G in the following equation

Answers

So the square root of it is
2G-N=T
+N +N
2G=T+N
-divide both sides by 2
G=T+N /2

HELP PLEASE!! ;-; !! TWO PART QUESTION!! 1) Consider the image. Are the two triangles congruent if a is congruent to d and b is congruent to e?
A) Yes, by the ASA postulate.
B) Yes, by the SAS postulate.
Yes, by the SSS postulate.
D) No, they are not congruent.


2) suppose that three corresponding angles are congruent for two triangles (AAA), why can’t congruence be proved between the two triangles?
A) the triangles could have the same shape but not the same size.
B) The triangles could have the same size but not the same shape.
C) with three equal angles, only the shortest side of the triangles can be congruent.
D)With three equal angles, only the longest side of the triangles can be congruent.

Answers

Answer:

A

Step-by-step explanation:

A

Java 1

Question 15
Another word for "looping" is:

a. encapsulation
b. iteration
c. reiteration
d. generalization
e. inheritance

Answers

Answer:

the anwser is b

Step-by-step explanation:

it is another word for looping

Kim is playing an online trivia game. she has 25 points and earns 1 point for each correct answer .she will advance to the next round if her score is over 34 points

Answers

Answer: 10 points

Step-by-step explanation:

She must get 10 answers right to get into the next round, if it need to be over 34

25+10=35

Can i have brainliest

Answer:

1x + 25 > 34

Step-by-step explanation:

test says its right

A 3-quart carton costs $2.79, while a 4-quart carton costs $3.88. Which is the better buy and why?

Answers

Answer: the 4 quart is a better buy

Step-by-step explanation:

Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4

Answers

Answer:

x=5/3

Step-by-step explanation:

Answer:

-5/3 or -9/4 is the answer

Step-by-step explanation:

Just completed it

Write the formula for the volume of a rectangular solid of length " l, " width " w, " and height " h. " Write the variable equation/write formula using the variables


Select one:


V=lwh


V= (lw)/h


V=(hl)/w


V=(hw)/l

Answers

The formula to find the volume of a rectangular solid is the first one.
V = lwh

Her Packet.pdf + 127% 7. Approximately 4% of the population has blonde hair, and 10% of the population has blue eyes. If 75% of people with blonde hair have blue eyes, what percent of the population has blue eyes without blonde hair? Show your work. ​

Answers

Using proportions, it is found that 7% of the population has blue eyes without blonde hair.

10% of the population has blue eyes. These 10% are composed by:

75% of 4%(have blonde hair).x% of 96%(do not have blonde hair)

Hence, the relation according to the proportion of 10% is:

[tex]0.75(0.04) + 0.96x = 0.1[/tex]

[tex]x = \frac{0.1 - 0.75(0.04)}{0.96}[/tex]

[tex]x = 0.0729[/tex]

Out of the entire population:

0.0729(0.96) = 0.07

7% of the population has blue eyes without blonde hair.

You can learn more about proportions at https://brainly.com/question/24372153

Define linear relationship. Give an
relationship.


PLESE HELP

Answers

Answer:

in linear algebra a linear relationship or simply relation between elements of a vector space or a module is a linear equation that has these elements as a solution

What does (-4)+8-9+12-(-3)

Answers

10 is the your answer, hope its worth it

Other Questions
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Sometimes the "monster" is moving in these sightings, and sometimes it is still. Many have suggested that Nessie might be a plesiosaur (plea-see-a-soar), an aquatic dinosaur that was trapped in the loch after the last ice age.The plesiosaur theory presents several problems. First, the plesiosaur is an air breather. Such a creature would need to surface often and, therefore, be seen more frequently. Second, it's unlikely that the same creature has lived in the loch since the last ice age. Today's creature would have to be the offspring of an original plesiosaur trapped long ago. This would suggest multiple creatures in the loch (needed to produce offspring). Again, sightings would be more frequent if this were the case.So from a purely logical stand point, the existence of such a large and ancient creature is unlikely. But assume for a minute that it is possible. What would a plesiosaur need to live in an enclosed lake?Tropical waters: Scientists believe plesiosaurs were warm-blooded. Like crocodiles and alligators, plesiosaurs would need to live in warm waters. The loch is very cold with temperatures averaging about 40 degrees Fahrenheit (4.4 Celsius).Food: Like other warm-blooded creatures, plesiosaurs would need a large quantity of food. If there is a group of Nessies, then even more food would be needed. Because the loch is full of silt (underwater dust) not much light gets into the deepest areas. So the food chain, which would depend on plankton, is very weak at its base. As a result, there is probably not enough food to support such a large creature.However, the plesiosaur theory is not the only one. Many other ideas attempt to explain the sightings and "photographs." But two separate sonar surveys of the loch have not found any evidence of a creature larger than a salmon. The last survey,1 completed in 2007 by the British Broadcasting Company (BBC), involved 600 different sonar beams. 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