Suppose that scores on a particular test are normally distributed with a mean of 140 and a standard deviation of 16. What is the minimum score needed to be in the top 20% of the scores on the test? Ca

Answers

Answer 1

The minimum score needed to be in the top 20% of the scores on the test is 152.

To solve for the minimum score needed to be in the top 20% of the scores on the test, we can use the z-score formula which is given as z=(x-μ)/σ where x is the raw score, μ is the mean and σ is the standard deviation.The z-score formula can also be written as x=μ+zσ where x is the raw score, μ is the mean and σ is the standard deviation.To find the z-score that corresponds to the top 20% of the scores, we can use the standard normal distribution table or calculator to find the z-score that corresponds to a cumulative area of 0.80. We get a z-score of 0.84.To find the minimum score needed to be in the top 20% of the scores on the test, we can plug in the values we know into the second formula, x=μ+zσx=140+(0.84)(16)x=152Therefore, the minimum score needed to be in the top 20% of the scores on the test is 152.

Find the z-score that corresponds to the top 20% of the scores using a standard normal distribution table or calculator.Plug in the values we know into the second formula, x=μ+zσ where x is the raw score, μ is the mean and σ is the standard deviation.Solve for x to find the minimum score needed to be in the top 20% of the scores on the test.

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Related Questions

If point C (3, 8) is reflected over the y axis what would be point C'?
no links please ​

Answers

Answer:

(-3,8)

Step-by-step explanation:

When reflecting over the y-axis, you are switching from positive to negative x-values. Since 3 was already positive, we change the integer and in this case, to negative, so it becomes -3. Since the y value remains the same we don’t change the 8. So (-3,8)

I hope this helps!

Please give thanks or brainliest if this helps!

Answer:

(-3,8)

Step-by-step explanation:

if room temperature is 25 c and the coffee is originally at 80 c, how long will it take the coffee to cool to 45 c if the ratio ? provide your answer in minutes.

Answers

The time take for the object to cool down is 5 minutes.

The temperature of a substance is a measure of its thermal energy and it is important to know how it changes over time.

Heat transfer occurs from hot to cold, meaning that the coffee will transfer heat to the room until both reach thermal equilibrium. The temperature difference between the coffee and the room is

=> 80°C - 25°C = 55°C.

We will use this value to calculate the rate of heat transfer. We know that the final temperature of the coffee will be 45°C, so the temperature difference will become

=> 45°C - 25°C = 20°C.

The time it takes to cool from 80°C to 45°C will depend on the heat transfer rate, which is affected by factors such as the mass of the coffee, the material of the container, and the surrounding environment.

Let us consider that the average heat rate is 60 seconds that is one minute.

Then the time taken for it is calculated as,

=>20 x 60 = 300

So, in minutes 5 minutes.

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Sam has $40. He buys a book for $12.99 and a puzzle for $15.49.
Which equations can be used to find how much money Sam has left? And don’t understand.

Answers

Answer:

First Answer Yay

3. Jean rides her horse twice a week at Free-
and-Bold Stables. One Monday, she goes
for a horseback ride. She leaves the barn
on her horse at 2:10 PM, and comes back at 2:50 PM. How long was her ride?

Answers

the answer is 40 minute's 250-210 is 40

inches 7 inches 18 inches area​

Answers

The area is just the dimensions multiplied, so multiply 7 by 18 and you get 126.

Answer:

Step-by-step explanation:

7inchx18inch= 126inch

HELP ASAP!!

What is the surface area of a CUBE where the length of each edge is 4 feet?

A) 12 feet
B) 24 feet
C) 64 feet
D) 96 feet

HELP ASAP!!What is the surface area of a CUBE where the length of each edge is 4 feet?A) 12 feetB) 24

Answers

Answer:

96

Step-by-step explanation:

Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.

What does the - 8 do in the function k(x)?

k(x) = x^2 - 8

Answers

Answer:

the negative 8 is the y-intercept of the equation. This means that this is y value of where 0 is on the x-axis. The point for the y-intercept is (0,8)

Find the value of z in the triangle shown below.

Find the value of z in the triangle shown below.

Answers

Answer:

x = 68

Step-by-step explanation:

This is an isosceles triangle meaning that two sides of the triangle are equal in length while one side is not. Because we know that two of the side lengths are equal, we know that their corresponding angles are equal. In this instance, they both will have angles measuring 56°. We know that the sum of the angles of a triangle is equal to 180°. Use this information to set up an equation and solve for x.

x + 56 + 56 = 180

x + 112 = 180

x = 68

Use the factorization to find the values of x for which p(x) = 0. (x – 1)(x 1)(x 5) = 0 x – 1 = 0, so x = x 1 = 0, so x = x 5 = 0, so x =

Answers

Answer: (x – 1)(x + 1)(x + 5) = 0

x – 1 = 0, so x =  1

x + 1 = 0, so x =  -1

x + 5 = 0, so x = -5

-4(1+10a)-7>-10(1+4a)-1

Answers

Answer:

no solution.

Step-by-step explanation:

Answer:

no solution.

Step-by-step explanation:

-4 (1 + 10a) - 7 > -10 (1 + 4a) - 1

-4 + 40a - 7 > -10 + 40a -1

40a - 40a > -10 - 1 + 4 + 7

 the Variable is canceled so there is no solution.

I need help on this question

I need help on this question

Answers

Answer: yes

Step-by-step explanation:

x=5

Answer: Yes, 5 is a substitute for x.

Step-by-step explanation:

Yes, 5 is a substitute for x because, 4x or, 4x5 is 20. Knowing the PEMDAS method, that is what we would use. So since multiplication is first, we use the 4x first.

The other side: 8x or, 8x5, is 40. 40-13=27. So yes, 5 is a substitute for x.

A pear costs x cents. An orange costs y cents less
than a pear. Find the cost of 4 pears and half a
dozen of oranges.
zoc-5
-600-​

Answers

The cost of a product refers to the price or amount of money required to purchase or acquire that particular item. It represents the financial value assigned to the product by the seller or the market. Total cost = 4x + 3 * (cost of a pear - y) cents.

The cost of a pear is x cents.  The cost of an orange is y cents less than a pear. To find the cost of 4 pears, you simply multiply the cost of one pear by 4:
4 * x = 4x cents.

To find the cost of half a dozen oranges, you need to determine the cost of one orange and then multiply it by 6 and divide by 2:
Cost of one orange = cost of a pear - y cents.
Cost of half a dozen oranges = (6 * (cost of a pear - y)) / 2 = 3 * (cost of a pear - y) cents.

So, the total cost of 4 pears and half a dozen oranges is the sum of the cost of 4 pears and the cost of half a dozen oranges:
Total cost = 4x + 3 * (cost of a pear - y) cents.

Please note that the given expression "zoc-5-600" does not seem to be relevant to the question at hand.

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(-4,-2), (-5,9)
find the slope of the line through each pair of points.
PLS HELP ILL MARK BRAINIEST

(-4,-2), (-5,9)find the slope of the line through each pair of points.PLS HELP ILL MARK BRAINIEST

Answers

Answer:

-11

Step-by-step explanation:

y2-y1/x2-x1

Take the y-value from the second pair of coordinates and subtract it from the first y-value, then do the same for the x-coordinates. Take the result from subtracting the y-values and put it over the result from subtracting the x-values. I got 11/-1, which is -11.

I hope this helps :)

Answer:

try -7

Step-by-step explanation:

Suppose that cell H15 is an output cell in a spreadsheet for which we have run a simulation. How could you compute the probability of that cell's value exceeding 500

Answers

By using  1-PsiTarget(H15, 500) we compute the probability of cell H15's value exceeding 500 in a spreadsheet simulation.

PsiTarget is a function commonly used in spreadsheet simulation software to calculate probabilities.

The first argument (H15) specifies the cell you want to calculate the probability for.

The second argument (500) represents the target value you want to compare against.

The PsiTarget function returns the probability of the cell's value being less than or equal to the target value.

By subtracting this probability from 1, you get the probability of the cell's value exceeding the target value.

Therefore, the correct formula to compute the probability of cell H15's value exceeding 500 is 1-PsiTarget(H15, 500).

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Let S be the part of the plane 2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1i + 1j + 3k across the surface S. F = 1i + 1j + 3k across the surface s2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field.

Answers

As per the double integral, the flux of the vector is 2√11(6z + 1) + 176

What is double integral small definition?

In math, Double integrals are used to find the flux of a vector field through a given surface S and find the normal to the given surface and equations of the surface to find the limits of integration.

And it is calculate by the formula as Flux= ∫∫F⋅ndS

Here we have given that S be the part of the plane 2x + 1y + z = 2 which lies in the first octant, oriented upward.

And we need to find the the flux of the vector field F = 1i + 1j + 3k across the surface S.

As per the formula of flux of vector, it can be written as,

=>Flux =  ∫∫(1i + 1j + 3k) . 2 dS

When we integrate this one the we get,

=> Flux = 2√11(6z + 1) + 176

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true or false? in 2014, approximately 44 percent of u.s. residents used marijuana sometime during their lifetime.

Answers

True. In 2014, approximately 44 percent of u.s. residents used marijuana sometime during their lifetime.

The explanation "in 2014, around 44 percent of U.S. inhabitants utilized cannabis at some point amid their lifetime" is alluding to information from the National Study on Medicate Utilize and Wellbeing (NSDUH) conducted in 2014 by the Substance Mishandle and Mental Wellbeing Administrations Organization (SAMHSA).

Agreeing to the 2014 NSDUH report, around 44% of people who matured 12 years or more seasoned within the Joined together States had utilized cannabis at slightest once in their lifetime. This percentage compares to roughly 109 million individuals within the Joined together States. The report moreover found that approximately 7.4% of people matured 12 a long time or more seasoned had utilized marijuana.

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A public storage company charges new customers an initial fee of $35.00. Each month of storage costs $18.75. The company uses the formula T = 35.00 + 18.75m to calculate the total charges, where T is the total charges, and m is the number of months of storage. How many months of storage would cost a new customer $260.00?

Answers

Answer:

12 months

Explanation:

Given the function that models the total chacrge of a company as T = 35.00 + 18.75m where;

T is the total charges,

m is the number of months of storage

Given

T = $260.00

we are to find the value of m

Substitute

260 = 35 + 18.75m

18.75m = 260 - 35

18.75m = 225

m = 225/18.75

m = 12

Hence it will take 12 months to cost a new custimer $260.00

Which graph represents the solution set for p − 3.6 < −5.8?

number line with open circle on point negative 9.4 and arrow shaded to the left
number line with open circle on point negative 9.4 and arrow shaded to the right
number line with open circle on point negative 2.2 and arrow shaded to the left
number line with open circle on point negative 2.2 and arrow shaded to the right

Answers

The correct description of the graph of the inequality is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

Which graph represents the solution set of the inequality?

Here we have the inequality:

p - 3.6 < -5.8

First, we need to solve this, to do so we need to isolate the variable p in one of the sides of the inequality, we will get:

p < - 5.8 + 3.6

p < -2.2

So p is strictly smaller than -2.2, then we will have an open circle at the number -2.2 and a line or arrow that extends to the left.

So the correct option is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

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Bob went on 8 hikes.
The hikes were: 2 miles, 5 miles, 1 miles, 5 miles, 1 miles, 2 miles, 3 miles, 4 miles
What was the range of the lengths of Bob's hikes?
2 miles
3 miles
4 miles
5 miles

Answers

The range is the difference between the longest hike and the shortest hike.

Longest = 5

Shortest = 1

Range = 5-1 = 4 miles

Algebra solve the equation show work

Algebra solve the equation show work

Answers

The solution to this equation is equal to 6.

How to solve an algebraic equation

Equations are expressions which are formed by constants, operators and variables. In this question we find a linear equation in implicit form, in which the variable t has to be solved:

- 9 · (t - 2) = 4 · (t - 15)                         Given

- 9 · t + 18 = 4 · t - 60                          Distributive property / (- a) · b = - a · b / (- a) · (- b) = a · b

78 = 13 · t                                             Compatibility with addition / Existence of additive inverse / Modulative and distributive properties

13 · t = 78                                              Symmetric property

t = 6                                                      Compatibility with multiplication / Existence of multiplicative inverse / Associative and modulative properties / Result

The solution to this equation is equal to 6.

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Answer:

\(t = 6\)

Step-by-step explanation:

\( - 9(t - 2) = 4(t - 15)\)

\( - 9t + 18 = 4t - 60\)

\( - 9t - 4t = - 60 - 18\)

\( \frac{ - 13t}{13} = \frac{ - 78}{ - 13} \)

Cross out -13t/13

\(t = 6 \: final \: answer\)

In classification analysis, we are determining the probability of an observation ________.

Answers

In classification analysis, we are determining the probability of an observation belonging to a specific class.

Classification analysis is a machine learning technique used to predict the class or category to which an observation belongs. The goal is to assign a probability to each possible class, indicating the likelihood of the observation belonging to that class. This is typically done by training a classification model on a labeled dataset, where the classes are known for a set of observations. The model learns patterns and relationships from the training data and then uses that knowledge to predict the class of new, unseen observations. The predicted probabilities can be used to make informed decisions, such as determining the most likely class for a given observation or setting a threshold for making binary decisions.

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Define a relation ~ on R' by stating that (a, b) ~ (c, d) if and only if a3+ b' transitive but not symmetric.

Answers

A relation ~ on R' is defined as a relation where (a,b) ~ (c,d) if and only if a3+b3=c3+d3. This relation is transitive but not symmetric.

Transitivity of the relation states that if (a, b) ~ (c,d) and (c, d) ~ (e, f) then (a, b) ~ (e, f). This means that if a3+b3=c3+d3 and c3+d3=e3+f3 then a3+b3=e3+f3, thus, the relation is transitive.

Symmetry of the relation means that if (a, b) ~ (c, d) then (c, d) ~ (a, b). This, however, does not hold in this relation since it is possible for a3+b3=c3+d3 and yet c3+d3≠a3+b3. For example, (1,2) ~ (8,4), this is true since 13+23=83+43, however, this does not mean that (8,4) ~ (1,2) since 83+43≠13+23. Therefore, this relation is not symmetric.

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Rectangle pqrs is folded along the line pr. The ratio of the area of rectangle pqrs to the new area of the figure is 11:7. The area of the shaded part is 68cm find the are of rectangle pqrs

Answers

Rectangle pqrs is folded along the line pr. The ratio of the area of rectangle pqrs to the new area of the figure is 11:7, the area of rectangle pqrs is 106.8 cm².

Let the area of the rectangle be x

therefore, we already know that x/68 = 11/7 as the area of the shaded part is 68cm and the ratio of the area of rectangle pqrs to the new area of the figure is 11:7.

x = 11/7 × 68

x = 11 × 9.71428

x = 11 × 9.71

x = 106.81 cm² or we can round it off as 106.8 cm²

Rectangle pqrs is folded along the line pr. The ratio of the area of rectangle pqrs to the new area of the figure is 11:7. The area of the shaded part is 68cm, the area of rectangle pqrs is 106.8 cm².

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Rectangle pqrs is folded along the line pr. The ratio of the area of rectangle pqrs to the new area of

Lin is interested in how many of her classmates watch her favorite TV show, so she starts asking around at lunch. She gets the following responses: 4 YES and 10 NO. If she ask one more random classmate, do you think they will say "YES" or " NO"?

Answers

Answer:

They will probably say NO

Step-by-step explanation:

Add to find the total number of response.

10 + 4 = 14

Find the probability of someone saying yes or no.

4 / 14 ≈ 0.29 or 29%

10 / 14 ≈ 0.71 or 71%

As you can see, saying NO is more likely than saying YES.

Best of Luck!

pls help 25h²- 16t² factorise it​

Answers

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

Answer:

(5h - 4t)(5h + 4t)

Step-by-step explanation:

25 h² - 16t² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Then

25h² - 16t²

= (5h)² - (4t)²

= (5h - 4t)(5h + 4t) ← in factored form

10. IDX Tech is looking to expand its investment in advanced security systems. The project will be financed with equity. You are trying to assess the value of the investment and must estimate its cost of capital. You find the following data for a publicly-traded firm in the same line of business: Debt Outstanding (book value, AA-rated) $423 million Number of shares of common stock $67 million Stock price per share $17.29 Book value of equity per share $6.24 Beta of equity 1.19 What is your estimate of the project's beta? What assumptions do you need to make?

Answers

To estimate the project's beta, we need to make assumptions and use available data. Given the information provided for a publicly traded firm in the same line of business, including the debt outstanding, number of shares, stock price per share, book value of equity per share, and the beta of equity, we can calculate an estimate of the project's beta.

The beta measures the systematic risk of an investment relative to the overall market. To estimate the project's beta, we can use the leveraged beta approach. Since the project will be financed with equity, we assume that the project's beta will be equal to the equity beta of the publicly-traded firm in the same line of business. Therefore, the estimated beta of the project would be 1.19, based on the given information.

It is important to note that this estimation relies on the assumption that the project's risk profile and systematic risk are similar to that of the publicly-traded firm used as a reference. Additionally, this approach assumes that the project is solely financed with equity and does not take into account any potential debt financing or other factors that may affect the project's beta.

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A traffic engineer needs to find out how much a local freeway is used. The freeway has 3 regular lanes and 1 carpool lane. One day, each regular lane averaged 304 cars an hour, and the carpool lane averaged 191 cars an hour. The engineer estimated that, in all, the lanes served about 500 cars an hour. Is that a good estimate?

Answers

The estimate of 500 cars an hour is not accurate, and a more precise estimate should be determined by taking into account the actual numbers from each lane.

To determine if the estimate of 500 cars an hour is a good estimate for the total number of cars served by the lanes, we can compare it to the actual number of cars based on the given information.

The total number of cars served by the regular lanes can be calculated by multiplying the average number of cars per hour in each lane (304 cars) by the number of regular lanes (3).

This gives us a total of 912 cars per hour for the regular lanes.

Now, let's consider the carpool lane, which averaged 191 cars an hour.

To estimate the total number of cars served by the lanes, we can add the number of cars from the regular lanes (912 cars) to the number of cars from the carpool lane (191 cars).

The sum of these two values is 1103 cars.

Comparing the estimated total of 500 cars to the actual total of 1103 cars, we can conclude that the estimate of 500 cars is not a good estimate.

The actual number of cars served is significantly higher than the estimated number.

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The lowest temperature on Mars can reach –140°C while the highest temperature can be 20°C. What is the difference between the highest and lowest temperatures on Mars?

Answers

I think that the answer is 120

7) Solve using a proportion. Round to the nearest tenth.
A machine bearing weighs just 1 kilogram. If 7 bearings weigh 15.4 pounds, how many pounds
would 12 bearings weigh?

Answers

The number of pounds would 12 bearings weigh are 26.39615 pounds.

What is meant by ratio?

A ratio in mathematics represents the number of times one number contains another. For instance, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the lemon-to-orange ratio is 6:8 (or 3:4), while the orange-to-fruit ratio is 8:14. (or 4:7).

Ratios are mathematical expressions that compare two numbers by dividing them. If you want to compare one data point (A) to another (B), your formula is A/B.

Machine                       Weigh

 1          --------------->    1 kg=2.20462 pounds

 7         ---------------->   15.4 pounds

 12        ---------------->   ?

If  6 machine -------- 13.19538

    5 machine ------- ?

x=(5×13.19538)/6

x=10.00615

∴ 12 machines bearings=15.4+10.99615pounds

=26.39615 pounds

The number of pounds would 12 bearings weigh are 26.39615 pounds

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Tell whether the sequence is arithmetic. If it is, identify the common difference.

10, 24, 36, 52

Answers

no it is not an arithmetic sequence
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