A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get

Answers

Answer 1

Answer:

The best possible final average this student can get is 94.

Step-by-step explanation:

The average score is given by the sum of the scores of all tests divided by the number of tests.

In this question:

First three tests: Mean score of 92, so total score of 92*3 = 276

Best possible score, with 4 tests:

In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:

[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]

The best possible final average this student can get is 94.


Related Questions

Courtney walks 5 laps around 1/4 mile track. how far does she walk?

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

Mitzy earned $3,156 last year at her weekend job, but realized after the year was over that her employer did not deduct any FICA from her paychecks. How much should she have paid in FICA taxes for her earnings last year? How much should she have paid in Social Security tax? How much should she have paid in Medicare tax? Together, they make up FICA. How much should she have paid in FICA?

Answers

PLEASE HELP, I need help with this too !!

Explanation:

HELPPPPP!:(
In order to ride a roller coaster, a rider must be greater than 48 inches tall. Right now, Jeff is 45 inches tall. Write an inequality that describes how many more inches Jeff must grow in order to ride the roller coaster.

Answers

Answer:

x is greater than or equal to 3 inches.

Step-by-step explanation:

The required inequality that models the situation of age to grow is given as x ≥ 3.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the age to be grow be x,
According to the question,
45 + x ≥ 48

Simplifying the above expression,
x ≥ 3

Thus, the required inequality that models the situation of age to grow is given as x ≥ 3.

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Factor out the greatest common factor

Answers

Answer:

C

A

B

D

Step-by-step explanation:

3x - 2(6 - x) = 7x + 2(5 + x) - 6
What is the answer

Answers

Answer:

x= -4

Step-by-step explanation:

Answer: x = -4

Step-by-step explanation:

first, we remove the parentheses.

3x - 12 + 2x = 7x + 10 + 2x - 6

then, we cancel equal terms.

3x - 12 = 7x + 10 - 6

then, we calculate.

3x - 12 = 7x + 4

next, we move the terms.

3x - 7x = 4 + 12

then, we collect like terms and calculate.

-4x = 16

finally, we divide both sides.

x = -4

Help plsssssssssssssssss

Answers

The answer would be B
First, you solve the equation (-2a-5>3=-2a>8=a>-4). Since a>-4 would be our final solution, we have to graph a as anything above -4.

What is an equation of the line that passes through the points (5,2) and (-5,6)?
Put your answer in fully reduced form.

Answers

Answer: y = -2/5x + 4

Steps:

First find the slope of the equation y=mx+b.

slope equation (m=y2-y1/x2-x1)

Then plug in your coordinates, which the first set is (5,2) and the second set if (-5,6). m = 6 - 2/ -5 - 5

Which your answer will be 4/-10, simplify it by dividing both by 2 to get -2/5 for your slope.

Next, find your y-intercept (b).

substitute the first set of coordinates into the equation y=mx+b

Substitute: 2 = -2/5 (5) +b

Then multiply -2/5 with 5 to get (-2). Your equation should now reduce to be

2 = -2 +b

Do inverse operations on both sides by adding 2 to each side (the 2 side and the -2+b side).

This gets rid of the -2 and since we added 2 to both sides, your final equation should look like 4 = b for your y-intercept.

Plug in everything to get y = -2/5x + 4

Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.

1. Write a function that defines the cousins age as a function of Noah's age.

2. What variable represents the input of this function?

3. What variable represents the output of this function?

4. Write the inverse of the function you wrote.

5. What variable represents the input of the inverse function?

6. What represents the output of the inverse function?​

Answers

Answer:

1. f(N) = C ,where C = N - 7

2. The input of the function is x = N

3. The output of the function = y = C = N -7

4. F(C) = N where N = C - 7

5. Input of the inverse function = C

6. Output of the inverse function = N = C - 7

Step-by-step explanation:

Let Noah's cousin age = C

and  Noah's age = N

As given ,Noah's cousin is exactly 7 years younger than Noah.

⇒ C = N - 7

a.)

As we know that , A function is a maping of x to y such that f(x) = y

Let x = N , y = C

So, f( x) = y

⇒f(N) = C ,where C = N - 7

b.)

The input of the function is x = N

c.)

The output of the function = y = C = N -7

d.)

A inverse function is a mapping of y to x

i.e change the variable ,

As we have C = N - 7

It becomes

N = C - 7

So the inverse function becomes

F(C) = N where N = C - 7

e.)

Input of the inverse function = C

f.)

Output of the inverse function = N = C - 7

which equation is parrel to the equation y=3x-4​
y=3x-8
y=4x+2
y=x-9
y=-1/3x+4

Answers

Answer:

Parallel means they have the same slope so, y=3x-8

Stephanie collected maple syrup from some of her trees. From the first set of trees, she collected 2 gallon of syrup. The second

1

and third set of trees yielded 3 gallons each.

Part A: How many gallons of syrup did she collect in all?

Part B: After using some of the syrup she collected for cooking, Stephanie found that she only had a gallons of syrup left. How

much syrup did she use for cooking?

Answers

Answer:

Part A - 8

Part B - 7

Step-by-step explanation:

Part A

She collected 8 gallons of syrup in total. Two gallons from first tree, three gallons from second tree and three gallons from third tree.

Part B

She used seven gallon of syrup for cooking.

She is left with one gallon syrup only out of total eight gallon syrup

To the nearest hundredth, what is the length of the diagonal of the prism

Answers

Answer:

theres nothing there

Step-by-step explanation:

Answer this pleaseee !!

Answers

Answer:

D.

Step-by-step explanation:

m<F = m<B - Corresponding Angles Theorem

m<B + m<A = 180 - Adjacent Angles Theorem

180 - 105 = m<A

75 = m<A; therefore, m<A = 75.

Answer:

D.

Step-by-step explanation:

Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.

50 POINTS!!!!!!! WILL GET BRAINLIEST IF CORRECT!!!!!

Answers

Answer:

43

Step-by-step explanation:

How many milligrams of medication are in 75 mL of a 2% solution?

Help

Answers

The answer is 23 I took the test

A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A

Answers

Answer:

Yes

Step-by-step explanation:

Given that :

CHAIN A:

Sample size n1 = 30

Sample standard deviation of waiting time s1 = 21.2

CHAIN B:

Sample size, n2 = 28

Sample standard deviation of waiting time s2 = 31.4

Null hypothesis H0: s1 = s2

Alternative hypothesis H1: s1 < s2

Test statistic ; Ftest : s1² / s2²

Ftest = 21.2^2 / 31.4^2

= 0.4558399

P value from F statistic : = 0.02 (using p value calculator)

Since the pval < 0.05

Then we reject the Null ; Chain A waiting time is more consistent

Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.

Answers

Answer:

100 = 2x + 4y

Step-by-step explanation:

Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.

Original: 150

New: 130

Answers

Answer:

130 is a 13.333%  or 13% decrease of 150.

John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth ​

Answers

The error was 1.33333333 percent

Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?

Answers

Answer:

A lot

Step-by-step explanation:

Why am I baking cakes. I SUCK.

There are 12 ounces of sugar will he need in his smaller cake.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.

Let the amount of sugar will he need in his smaller cake = x

So, By definition of proportion, we get;

⇒ Amount of Butter / Amount of Sugar

⇒ 8 / 16 = 6 / x

⇒ x = 6 × 16 / 8

⇒ x = 12 ounces

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I need help with this question geometry

Answers

Answer:

sorry

Step-by-step explanation:

Answer:

y=15

∠P=113

∠Q=67

∠R=113

∠S=67

Step-by-step explanation:

10y-37+4y+7=180

14y=210

y=15

∠P=10(15)-37=113

∠Q=180-113=67

The number of red marbles in a jar is 3 times the number of blue marbles

There are 27 red marbles and b blue marbles. Write an equation to represent this situation. How many blue marbles are there?

Answers

Answer:

I think this is the answer

9 blue marbles

3x=27

The equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let b represents the number of blue marbles.

r represents number of red marbles in jar.

The number of red marbles in a jar is 3 times the number of blue marbles.

r=3b

There are 27 red marbles and b blue marbles.

27=3b

To find the number of blue marbles we have to solve the above equation.

Divide both sides by 3

27/3=3b/3

9=b

Hence, the equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.

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Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1

Answers

Answer:

Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Step-by-step explanation:

We need to use the quadratic formula to find the solutions for

[tex]y = 3x^2 + 8x - 1[/tex]

(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1

Putting values in the formula and finding solutions:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]

So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Simplify
Plsss hurry

Answers

Answer:

imma say the third one

Step-by-step explanation:

sorry if wrong

Bob's Trees are selling trees. You have decided to buy some holiday trees to
donate to local nursing homes. They are selling for $50 each. If you have a
total of $400.00 to spend, how many trees were you able to donate?

Answers

Your answer would be eight

Which ratio is equivalent to 1 : 8

Answers

Answer: 2:16

Step-by-step explanation:

Answer:

2 : 16

Step-by-step explanation:

1 : 8 2 : 16 3 : 24 4 : 32 5 : 40

6 : 48 7 : 56 8 : 64 9 : 72 10 : 80

11 : 88 12 : 96 13 : 104 14 : 112 15 : 120

16 : 128 17 : 136 18 : 144 19 : 152 20 : 160

21 : 168 22 : 176 23 : 184 24 : 192 25 : 200

26 : 208 27 : 216 28 : 224 29 : 232 30 : 240

31 : 248 32 : 256 33 : 264 34 : 272 35 : 280

36 : 288 37 : 296 38 : 304 39 : 312 40 : 320

41 : 328 42 : 336 43 : 344 44 : 352 45 : 360

46 : 368 47 : 376 48 : 384 49 : 392 50 : 400

51 : 408 52 : 416 53 : 424 54 : 432 55 : 440

56 : 448 57 : 456 58 : 464 59 : 472 60 : 480

61 : 488 62 : 496 63 : 504 64 : 512 65 : 520

66 : 528 67 : 536 68 : 544 69 : 552 70 : 560

71 : 568 72 : 576 73 : 584 74 : 592 75 : 600

76 : 608 77 : 616 78 : 624 79 : 632 80 : 640

81 : 648 82 : 656 83 : 664 84 : 672 85 : 680

86 : 688 87 : 696 88 : 704 89 : 712 90 : 720

91 : 728 92 : 736 93 : 744 94 : 752 95 : 760

96 : 768 97 : 776 98 : 784 99 : 792 100 : 800

What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!

Answers

0.83Answer:

Step-by-step explanation:

83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83

Answer:

.83

Step-by-step explanation:

to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:

.83

hope this helps!!

PLEASE HELP ASAP THIS IS DUE SOON

Answers

Answer:

y= 2/1x

Step-by-step explanation:

1. Mark two points on the coordinate place (1,2) (2,4)

2. Subtract y1 from y2 and x1 from x2

(1, 2)   1

(2, 4)   2

4-2 y, 2-1 x

3. Put y on top of x as a fraction after you've subtracted it (2/1)

4. y= 2/1x

i think this is right...maybe?

Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost

Answers

Answer:

.33 cents

Step-by-step explanation:

5x + y = 6
5x + 3y=-4
The y-coordinate of the solution to the system shown is
-5
01
1
2
0-1

Answers

Answer:

I think it’s -5

God bless you & have a beautiful rest of your day “and sorry if it didn’t help”.

Can someone help me Write an equation for this graph?

Answers

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

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