Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(2) = 16 B. h(8) = 21 C. h(13) = 18 D. h(-3) = -1

Answers

Answer 1

The statement that could be true for h is h(2) = 16.

Option A is the correct answer.

We have,

The function h has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25, and we know that h(8) = 19 and h(-2) = 2.

To determine which statement could be true for h, we can use the given domain and range, along with the two known function values, to narrow down the possible values of h(x) for different values of x.

h(2) = 16

We do not have enough information to determine whether this statement could be true or not.

It is possible that h(2) = 16, but it is also possible that h(2) could be a different value within the range of 1 ≤ h(x) ≤ 25.

h(8) = 21

This statement cannot be true, as we already know that h(8) = 19.

h(13) = 18

This statement cannot be true, as 13 is outside the given domain of -3 ≤ x ≤ 11.

h(-3) = -1

This statement cannot be true, as -1 is outside the given range of 1 ≤ h(x) ≤ 25.

Therefore,

The statement that could be true for h is h(2) = 16.

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Related Questions

what is the surface area of the capsule ? round your answer to the nearest hundredth

Answers

I'm sorry, but I cannot answer this question without additional information about the dimensions of the capsule. Please provide me with the necessary information so that I can assist you.

What is 200,000,000 divided by 100,000

Answers

the answer to your math problem is 2000

The graph of which equation passes through the
point

Answers

Answer:

The answer is A.

A graph passes through a point if its equation is equal to the coordinate of this point. In this exemple:

5x+4y=8

we replace the variables with 4 and -3 (x with 4 and y with -3):

5(4)+4(-3)=8

20-12=8

8=8 so it passes.

NOW , for the slope:

slope = - 5/4 ( the equation is 5x+4y=8 , the cartesian equation is 5x+4y-8=0. THE cartesian equation with variables is ax+by+c=0) NOW this is linked with the slope bcz the slope is linked to the director vector (-b;a) that gives (-4;5), this is the director vector's formula that we're going to call U. THEN with this formula you get the slope: Y of U / X of U = 5/-4 = - 5/4 (bcz you dont leave the denominator with a negative sign).

THAT'S it thats the answer.

Ana's lawn is shaped like a square with an area of 224.9 .
Which measurement is closest to the side length of his lawn in feet?

Answers

If Ana's lawn is shaped like a square with an area of 224.9 square feet, we can find the length of one of its sides by taking the square root of the area.

The square root of 224.9 is approximately 14.99 feet.

Therefore, the measurement closest to the side length of Ana's lawn in feet is 15 feet.

HELP PLS ASAP DETERMINE THE RANGE

Answers

Answer:

-7≤y≤2

Step-by-step explanation:

The range measures the highest and lowest numbers up and down on the y-axis for a line. In order to determine range, start with the smallest number (the farthest place the line touches going down) then write less than or equal to. This is because the two dots are closed, meaning they include what the line touches. Afterward, add another less than or equal to, and then add the biggest number (the highest place the line touches going up). The range basically gives you your boundaries, and tells you how high or low the line you are describing is. And after that, you're done!

I hope this helps :)

Help please on this one i need help

Answers

∠ AFE is supplementary to ∠ AFB and the measure of ∠ AFE = 102⁰.

option A.

What is a supplementary?

Supplementary angles are the two angles that sum up to 180 degrees.

That is, if the sum of two angles is equal to 180 degrees, then the two angles are supplementary.

From the given diagram we can form the following equation;

∠ AFE + ∠ AFB = 180 (sum of angles on a straight line is equal to 180⁰ )

∠ AFE = 180 - ∠ AFB

∠ AFE = 180 - 78

∠ AFE = 102⁰.

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The box plots display the scores that two different groups of students got on their last math quiz.

Answers

The correct option is A.

The interquartile range for Data Set A is 15 and the interquartile range for Data Set B is 10.

Given that, the box plots display the scores that two different groups of students got on their last math quiz.

We need to find the interquartile range of each data set.

So, the interquartile range of data set A = 80-65 = 15

the interquartile range of data set B = 90-80 = 10

Hence, the interquartile range for Data Set A is 15 and the interquartile range for Data Set B is 10.

The correct option A.

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You save $8,500.00. You place 40% in a savings account earning a 4.2% APR compounded annually and the rest in a stock plan. The stock plan decreases 3% in the first year and increases 7.5% in the second year.
A. What is the total gain at the end of the second year for both accounts combined?
B. If you had invested 60% in the savings account and the rest in the stock plan, what is the difference in the total gain compared to the original plan?

Answers

The total gain at the end of the second year for both accounts combined is $509.09.

We have,

Amount saved = $8500

40% of 8500 is saved in saving account = 0.4 x 8500 = $3400

Remainder amount in stock plan = 8500 - 3400 = 5100

Working for savings plan

A = P(1 + r/n[tex])^{nt[/tex]

A = 3400(1 + 0.042/1)²

A = $3691.60

So, we gain = 3691.6 - 3400 = $291.6

Working for stock plan:  

The stock plan decreases 3% in the first year

= 5100 x 0.97

= $4947

and increases 7.5% in the second year.

= 4947 x 1.75

= $5318.03

So, we gain = 5318.03 - 5100 = $218.03

Thus, the total gain is

= 291.06 + 218.03

= $509.09

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What are the coordinates of the image of the point (8,1) after a dilation by a scale factor of 2 with the origin as the center of dilation, followed by a translation over the y-axis

Answers

The point after a dilation by a scale factor of 2 with the origin as the center of dilation, and a translation over the y-axis is (-16, 2).

Given is a point, (8, 1) we need to find the coordinates of a point which is dilated from the origin by the scale factor of 2 and translation over the y-axis,

So, the coordinates of after dilation by k scale factor =

(x, y) = (kx, ky)

So, (8, 1) = (16, 2)

Now, the translation over the y-axis gives,

(x, y) = (-x, y)

Therefore, (16, 2) = (-16, 2)

Hence, the point after a dilation by a scale factor of 2 with the origin as the center of dilation, and a translation over the y-axis is (-16, 2).

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A cylinder has a base radius of 6ft and a height of 18ft. What is its volume in cubic ft, to the nearest tenths place?

Answers

Answer:

  2035.8 ft³

Step-by-step explanation:

You want to know the volume of a cylinder with radius 6 ft and height 18 ft.

Volume

The volume of a cylinder is given by the formula ...

  V = πr²h

For the given dimensions, the volume is ...

  V = π(6 ft)²(18 ft) ≈ 2035.8 ft³

The volume of the cylinder is about 2035.8 cubic feet.

__

Additional comment

If you use 3.14 for π, you get 2034.7 cubic feet.

<95141404393>

Question attached. You dont need to send working out just and answer to 2dp

Answers

The value of length of AG is,

AG = 157.02

We have to given that;

AD = 31 cm

DC = 22 cm

Hence, We get;

AC = √31² + 22²

AC = √961 + 484

AC = √1445

AC = 38

Thus, We get;

cos 76° = AC / AG

0.242 = 38 / AG

AG = 38/0.242

AG = 157.02

Therefore, The value of length of AG is,

AG = 157.02

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Problem 3
Draw the pictures to compute 1 ÷ 11 in a base ten system, and show the answer is 0.09.

Answers

The result of 1/11 in the base 10 system is given as is 0.09.

How to solve

To visualize the long division of 1 ÷ 11 in a base ten system:

Set up the long division: 11 outside and 1.00 inside the division bracket.

Place the decimal point in the quotient above the dividend's decimal point.

Bring down the first digit (0) and divide 11 into 10; it goes 0 times.

Subtract the product (0) from 10, leaving 10.

Bring down the next digit (0) and divide 11 into 100; it goes 9 times.

Subtract 99 from 100, leaving a remainder of 1.

The result is 0.09.


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Graph the line with slope
3/4
passing through the point (-4,-1)
.

Answers

Answer:

check attachment

Step-by-step explanation:

First write in point-slope form:

y-y1=m(x-x1)

Now substitute:

y-(-1)=3/4(x-(-4))

And then just solve. You should get a y-intercept of 2.

Mark is running in a 13-mile race.He has run 5miles so far

Answers

The required Mark has completed 38.46% of the race.

To calculate the percentage of the race completed by Mark, we can divide the number of miles he has run by the total length of the race and then multiply by 100 to convert the result to a percentage.

So, Mark has run 5 miles out of a total of 13 miles:

Percentage of race completed = (5/13) x 100%

Calculating this expression, we get:

Percentage of race completed = 38.46%

Therefore, Mark has completed 38.46% of the race.

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nd the interest on the loan using the Banker's ru P = $4800, r= 8.8%, t = 105 days! The interest on the loan using the Banker's rule​

Answers

The interest on the loan using the Banker's Rule is $139.20.

How to find the interest on the loan using the Banker's rule

The formula for calculating interest using the Banker's Rule is:

Interest = Principal x Rate x Time / 360

where:

Principal is the amount of the loan

Rate is the interest rate as a decimal

Time is the time period in days

Using this formula, we can calculate the interest on the loan as:

Interest = 4800 x 0.088 x 105 / 360

Interest = 139.20

Therefore, the interest on the loan using the Banker's Rule is $139.20.

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a square room has a floor area of 25 square feet. the height of the room is 6 feet. what is the area of all 4 walls

Answers

Answer:

100

Step-by-step explanation:

the room is square this means each wall equal 25 .4 walls *25 =100 square feet

Answer:120

Step-by-step explanation:

Find the volume of the composite solid. Round your answer to the nearest hundredth.
6 ft
-12 ft
The volume is about
cubic feet.

Answers

Pi r^2 (h/3) -formula for cone*
(4/3) Pi r^3 -formula for sphere\/\/\/
2/3 Pi r^3- formula for hemisphere*

Going to use these two, substitute and add together

Cone- 144 pi
Hemisphere- 144pi

Cone + hemisphere =288pi OR about 904.78

Corellian Engineer needs to develop a new navigation system for its YT-1300 Freighter. They opened the process to competitive bids. The best bid gave the following numbers. (All numbers in millions).

Working -

Total cost estimate for thos project = Programming + Beta Testing + Installation + Final shake down.
= 5,000 + 3,500 + 2,000 + 7,000
= 17,500.
the total cost estimate for this project is $17,500.

What process did Corellian use for this estimate? Choose one.

1.Top down (Macro)

2.Balanced

3.Bottom up (Micro)

4.OMG, my head hurts

Answers

Corellian Engineer used the Bottom up (Micro) approach to estimate the total cost of developing a new navigation system for its YT-1300 Freighter. The total cost estimate of $17,500. So, the correct option is C).

The process that Corellian used for this estimate is the Bottom up (Micro) approach, which involves estimating costs for each component or task in the project and then summing them up to get the total cost estimate.

In this case, they estimated the costs for programming, beta testing, installation, and final shake down, and then added them up to get the total cost estimate of $17,500.

So, the correct answer is C).

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i nedddddddd help on thisssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

a) the answer is 9,-8
b) the answer is -9,8

Convert 135° from degrees to radians.

Answers

Answer:

Answer:Radians = Degrees × 3.14/180

Answer:Radians = Degrees × 3.14/180Step-by-step explanation:

Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)

Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180

Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174

Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174135×0.0174

Answer:Radians = Degrees × 3.14/180Step-by-step explanation:145× (3.14/180)3.14/180= 0.0174135×0.0174 = 2.355

Please help, due tonight!

Answers

The area of the trapezoid with parallel sides of 8 meters and 7 meters, and a height of 4 meters, is 30 square meters.

To find the area of a trapezoid, we use the formula:

Area = (a + b)h/2

where "a" and "b" are the lengths of the parallel sides of the trapezoid, and "h" is the height of the trapezoid.

In this case, we are given that the parallel sides are 8 meters and 7 meters, and the height is 4 meters.

Substituting these values into the formula, we get:

Area = (8 + 7) x 4 / 2

= 15 x 4 / 2

= 60 / 2

= 30 square meters

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The volume of 1,000 drops of a liquid is 10 fluid ounces. What is the volume of 10 drops?

Answers

Answer:

0.1 oz

Step-by-step explanation:

1000=10 oz

10 drops

1000/100=10

10/100=O.1 oz

Examine the equation below used for determining the capital gain made on a stock.((900)(12.55)-(900)(12.55)(.01))-(900)(8.14)+25)=3,831.05

Answers

This capital gain  problem that can be modelled using this equation is one that relates to the price of a stock or share.

How can the problem be crafted?

It can be writen as follows.....

Suppose that one purchased 900 shares of a stock at a price of $  12.55 per share .

After a year, the stock price rose to $ 13.25 per share, but you sold the shares at a price of $8. 14 per share due to financial difficulties.

You also incurred a transaction cost of $25.

What is the capital gain or loss made on the stock?

given the above question, if we solved for for the problem, we would get....

Solving for x, we get:

((900 )(x )-(900 )(x)(.01))-(900) (x-4)  +25)

= 15,740

Simplifying this expression, we get:

(0.99900x) - (36 x 900) + 25

= 15,740

0.99900 x = 15,655

x = 17.39

Therefore, the current stock price is $17.39

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Full Question:

1. Examine the equation below used for determining the capital gain made on a stock. Look through this chapter and your notes to help you write a problem that could be modeled by this equation.

.((900)(12.55)-(900)(12.55)(.01))-(900)(8.14)+25)=3,831.05

Help need help now
A beaker is shaped like a cylinder with a radius of 1.8 inches and a height of 4.6 inches. It is filled to the top with a solution. Caleb wants to pour it into a different beaker with a radius of 1.25 inches. What is the minimum height the second beaker must be so it does not overflow? Round to the nearest tenth.

Answers

The minimum height the second beaker must be so it does not overflow is 9.55 inches.

Given that a beaker has a radius of 1.8 inches and height of 4.6 inches. we need to find the height of another beaker which has the radius of 1.25 in and has same volume,

Volume of a cylinder = π × radius² × height

= 3.14 × 1.8² × 4.6

= 46.8 in³

Now, the second beaker =

46.8 = 3.14 × 1.25² × h

h = 46.8 / 3.14 × 1.25²

h = 9.55

Hence, the minimum height the second beaker must be so it does not overflow is 9.55 inches.

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PLEASE HELP HURRY FAST PLEASE THANK YOU! please put answers as either a b c or d thank you and please help me on every single one ill give brainiest if completed thanks
4. Find the rational roots of x^4+5x^3+7x^2-3x-10=0
A. -2,1
B. 2,1
C. -2,-1
D. 2,-1
5. Find all the zeros of the equation 3x^2-4=-x^4
A. 1,2i
B. -1,-2i
C. 1,-1,2i,-2i,0
D. 1,-1,2i,-2i
6. What is a polynomial function in standard form with zeros 1,2,-2, and -3?
A. x^4+2x^3+7x^2-8x+12
B. x^4+2x^3-7x^2-8x+12
C. x^4+2x^3-7x^2+8x+12
D. x^4+2x^3+7x^2+8x+12
7. Which correctly describes the roots of the following cubic question.
x^3-3x^2+4x-12=0
A. three real roots, each with a different value
B. one real root and two complex roots
C. three real roots, two of which are equal in value
D. two real roots and one complex root
8. What is the solution of 5^3x=900. Round your answer to the nearest hundredth
A. 1.24
B. 1.41
C. 4.23
D. 0.69
9. x= 1,2,4,6,8,10,11 y= 0,-1,0,4,8,9,8 <--- Table is right here
Which of the following questions best represents the regression line for the data given in the table above.
A. y=x+2
B. y=2x-2
C. y=-x-2
D. y=x-2
10. Is the relationship between the variables in the table a direct variation, an inverse variation, both, or neither? If it is a direct or inverse variation, write a function to model it. ---> Table x= 2,5,12,20 y= 30,12,5,3
A. direct variation; y=15x
B. inverse variation; y=60/x
C. direct variation; y=2x+2
D. neither
11. A drama club is planning a bus trip to New York City to see a Broadway play. the cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost $30 per person if 44 people go on the trip. How much will it cost per person if 55 people go on the trip. Round your answer to the nearest cent if necessary
A. $48.00
B. $12.50
C. $24.00
D. $33.00
12. What is the simpler form of the radical expression? 4sqrt2401x^12y^16
A. 49|x^9|y^16
B. 49x^9|y^16|
C. 7|x^3|y^4
D. 7x^3|y^4|
13. Simplify. 125^1/3
A. 125
B. 5
C. 25
D. sqrt125
14. Graph the function. y=sqrtx+3

15. An initial population of 293 quail increases at an annual rate of 6%. Write an exponential function to model the quail population. What will the approximate population be after 4 years?
A. f(x)=(293 x 1.06)^x; 930
B. f(x)=293(0.06)^x; 379
C. f(x)=293(1.06)^x; 370
D. f(x)=293(6)^x; 190
16. Evaluate the logarithm
log3 2187
A. 5
B. 6
C. 7
D. -7
17. Estimate the value of the logarithm to the nearest tenth
log4 22
A. 2.2
B. 0.4
C. -0.7
D. 3.2
18. Solve 1n 4 + 1n (3x)=2. Round your answer to the nearest hundredth
A. 1.13
B. 0.18
C. 1.41
D. 0.62
19. Write an equation for the translation of y= 4/x that has the asymptotes x=7 and y=6.
A. y= 4/x-6 +7
B. y= 4/x+7 +6
C. y= 4/x-7 +6
D. y= 4/x+6 +7
20. What is the graph of the rational function?
y=(x-5)(x-3)/(x+4)(x-4)

21. What are the points of discontinuity?
y=(x-3)/x^2-12x+27
A. x=4,x=9,x=1
B. x=-9,x=-3
C. x=-9,x=-3,x=-1
D. x=9,x=3
22. What is the quotient 6-x/x^2+2x-3/x^2-4x-12/x^2+4x+3 in simplified form? State any restrictions on the variable.

23. Simplify the complex fraction x+3/ 1/x+1/x+3
A. x^2/2x+3
B. x^2/2x
C. x^2/x+3
D. x^2+2x+3/2x+3
24. Simplify the difference
x^2-x-56/x^2+6x-7 - x^2+2x-15/x^2+9x+20
A. x-71/(x-1)(x+4)
B. 2x^2-8x-29/(x-1)(x+4)
C. -8x-35/(x-1)(x+4)
D. -35/(x-1)(x+4)
25. Solve the equation 1/x-3+1/x+5=1/3
A. x=1,x=7
B. x=3,x=-5
C. x=-3,x=1
D. x=-3,x=7

Answers

Answer:

Step-by-step explanation:

4. A. Im not sure but that seems like the most logical.

5. D.

6. B.

7. B.

8. I think it's A. maybe-

9.- id-k sorry-

10. i--dk..]

11. C

12. D

13. B.

15. C.

16. C

17. A.

18. D

19. C.

21. D.

22. -(x+1)/(x-1)(x+2) x does not equal -3, -2, 1, and 6

23. i d-ksorry

24.i-d-k sorry

25. D.

Hope this helped sorry i culdn't get them all-

The answers to all parts are shown below.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

1. x⁴ + 5x³ + 7x² -3x - 10 = 0

= (x-1)(x+2)(x² + 4x + 5)

Thus, the rational roots are 1 and -2.

2. 3x² -4 = - x⁴

x⁴ + 3x² -4 = 0

(x-1)(x+1)(x² + 4) =0

Thus, the zeroes are 1, -1, -2i, +2i.

3. We can write the zeroes as

p(x)=(x-1)(x-2)(x+2)(x+3).

So, p(x) = x⁴ + 2x³ -7x² -8x +12

4. x³ -3x² +4x- 12=0

(x-3)(x²+4) =0

x= 3, -2i, 3i

5.  x= 1,2,4,6,8,10,11

y= 0,-1,0,4,8,9,8

So, equation of line

(y- 0) = (-1-0)/(2-1)(x-1)

y = -1(x-1)

y + x +1=0

6. x= 2,5,12,20 and y= 30,12,5,3

k = 30/2

k = 15

So, the relationship is y= 15x.

7. cn = constant(k)

n= 44

then, c= 30/44 = 0.68

and, k = 44 x 0.68

k = 30

So, c = 1.5 dollars per person.

8. 125¹/³

= (5³)¹/³

= 5

9. y = 293(1.06)⁴ = 370

10. log₃ 2187

= log₃ 3⁷

= 7

11. log₄ 22

= 2.29

12 . y= 4/x

The new equation is  y = 4/(x - 7) + 6.

13. (6-x)/ (x² + 2x - 3) / (x² -4x- 12)/ (²x² + 4x + 3)

= - (x+1)/ (x+1)(x+2)

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b) The Median and Mode of the following wage distribution are known to be $33.5 and $34 respectively. Three frequency values from the table are, however, missing. Find the missing values. Wages (in $) 0-10 10 - 20 20 - 30 30 - 40 40 - 50 50-60 60-70 Frequencies (f) 10 10 ? ? ? 6 230 repsectively ​

Answers

The missing values are 60, 100 and 40 if the Median and Mode of the  wage distribution are known to be $33.5 and $34 respectively

Wages (in Rs)_freq____        CF

0-10________4___________4

10-20_______16________20

20-30_______x________20+x

30-40______y_________20+x+y

40-50______z________20+x+y+z

50-60______6_______26+x+y+z

60-70______4______30+x+y+z

Since total 230

So, 30+x+y+z=230

x+y+z=200

Mode =34

Median = 33.5

By solving the equations we get x=60, y=100 and z=40

Hence, the missing values are 60, 100 and 40

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Last year, the rates of return on the investments in a large portfolio had an approximately mound-shaped distribution, with a mean of 20% and a standard deviation of 10%. What proportion of the investments had a return of between 10% and 30%? What proportion of the investments had a return of between -10% and 50%? b. What proportion of the investments had a return that was either less than 10% or more than 30%? What proportion of the investments had a positive return? (Hint: A mound-shaped distribution is symmetrical.)​

Answers

a) The proportion of the investments had a return of between 10% and 30% is given as follows: 0.68 = 68%.

b) The proportion of the investments had a return of between -10% and 50% is given as follows: 0.997 = 99.7%.

c) The proportion of the investments had a return either less than 10% or more than 30% is given as follows: 0.32 = 32%.

d) The proportion of the investments had a positive return is given as follows: 0.9985 = 99.85%.

What does the Empirical Rule state?

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.

Hence the percentages for this problem are given as follows:

Item a -> 68% -> within one standard deviation of the mean.Item b -> 99.7% -> within three standard deviation of the mean.Item c -> 32% -> More than one standard deviation of the mean.Item d -> all above the mean, 99.7% of the 50% below the mean -> 0.997 x 0.5 + 0.5 = 0.9985 = 99.85%.

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Problem 5:
Find the missing side using
trigonometry:
52
18 H
AWO
Drag&Drop the correct trig function:
Cos
Tan
Rati
Circle which shortcut you use.
Multiply
Round your answer to the nearest tenth:
Give Feedback to Micrones
Sin
%
or
IN
Divide
Ans
Ans

Answers

The missing length is 11.0818 unit.

We have,

Angle = 52 degree

H = 18

Using Trigonometry

cos 52 = B/H

cos 52 = x / 18

0.615661 = x  /18

x = 11.0818 unit

Thus, the missing length is 11.0818 unit.

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You will purchase 700 frozen treat's the cost to you should be at most 400 your goal is to make a profit of at least $800. Explain to Omar how your decision meets each of the criteria. Include the number of each type of treat in your explanation

Answers

The decision meets each of the criteria by: Buying 500 popsicles at $0.50 each and 200 ice cream sandwiches at $1.50 each enables the purchase of 700 frozen delights within the $400 budget and satisfies the objective of producing at least $800 in profit.

How did your decision meets each of the criteria?

I have made the decision to buy 500 popsicles at $0.50 each and 200 ice cream sandwiches at $1.50 each in order to fulfil the requirement of buying 700 frozen delights at a price of no more than $400.

Cost of purchasing 500 popsicles = (500 * $0.50)

Cost of purchasing 500 popsicles = $250

Cost of purchasing 200 ice cream sandwiches =(200 * $1.50)

Cost of purchasing 200 ice cream sandwiches  = $300

So, Total cost of purchasing all 700 frozen treats is $550 ($250 + $300) which is within the budget of $400.

I intend to sell the popsicles for $1.50 each and the ice cream sandwiches for $3.00 each in order to meet the requirement of turning a profit of at least $800. This would bring in $1350 in income for the ice cream sandwiches and $750 for the popsicles (500 * $1.50 and 200 * $3.00 respectively).

The objective of producing a profit of at least $800 is met after deducting the expense of buying the frozen treats from the overall income.

Net profit =($1350 - $550)

Net profit = $800

Therefore purchasing  500 popsicles at $0.50 each and 200 ice cream sandwiches at $1.50 each satisfies the objective of producing at least $800 in profit.

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what expression is not equivalent to 2/3 x 4

Answers

Answer:

there are no choices given but...

Step-by-step explanation:

this simplifies to 8/3, or 2 2/3

find the choice that isn't either of those ( is also 2.66666 repeating)

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