Michael to 12 test in his math class. His lowest test score was 78. His highest test score was 98. On the 13th Test,? He earn a 64. Select whether the value of each statistic for his test scores increase, decrease, or cannot be determined when the last test score was added

Answers

Answer 1

Complete question :

Michael took 12 tests in his math class. his lowest score was 78. his highest score was 98. on the 13th test, he earned a 64. put a check in the correct box to indicate whether the value of each statistic below for his test scores increased, decreased, or cannot be determined when the last score was added.

1. Standard deviation 11) Median 111) Mean

Answer:

Standard deviation - increased

Median - cannot be determined

Mean - decrease

Step-by-step explanation:

The standard deviation will increase because the new (13th) test score does not fall within the range (lowest and highest) of the 12 previous test scores and will hence further increase the variability of the s ires measured

The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.

The mean value will decrease further because, when a score (64) lower that the previously recorded least score (78) is recorded and then the sum is recalculated and average taken. This low new score will cause the new to decrease further than previously recorded.

Answer 2

The value of the mean decreases, the median cannot be predicted, and the value of the standard deviation increases.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

Michael to 12 tests in his math class.

His lowest test score was 78.

His highest test score was 98.

On the 13th Test, he earns a 64.

Then the mean will decrease because he earns a 64 on the 13th test. That is lower than his lowest score.

The standard deviation will increase because the gap between the mean and 64 will increase.

The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.

More about the statistics link is given below.

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Related Questions

A square has an area of 4 m^2 What is the length of each side?

Answers

Answer:

length of each side is 2 metres

Step-by-step explanation:

square area = b^2

4 square m = b^2

square root of 4 = b

therfore b = 2

Which error did Mathieu make?

He factored incorrectly.
He did not use the constant as the x-intercept.
He set the factored expressions equal to each other.
He incorrectly solved the equation x + 3 = x + 1.

Answers

Answer:

C

Step-by-step explanation:

Plz mark brainliest

The error is he set the factored expressions equal to each other(option3).

What is X-intercepts?

In a graph, the point where the line or curve crosses the axis is called the intercept. If a point crosses the x-axis it is x-intercepts. If a point crosses y-axis it is y-intercepts.

For finding x-intercepts of the given function,

First we have to factorize the given equation and then find the x values .

In [tex]f(x)=x^{2} +4x+3[/tex]

When we factorize we get , (x+3) and (x+1)

i.e., x+3=0⇒x=-3, x+1=0⇒x=-1.

That is x- intercept is -1 and -3.

Instead of this step Mathieu equated x+3=x+1.

This makes an error.

Hence, the error is he set the factored expressions equal to each other.

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In rectangle FGHK, FC = CH = 8.5 cm. What is the area of rectangle FGHK?

8.5 cm
15cm^2
120cm^2
125.5cm^2

Answers

Answer:

we have the width is 8 cm and the diagonal line is 17 cm so to get the length you're going to use Pythagoras theorem so 8 centimetres will be represented by a 17cm will be represented by c then length will be represented by b so b squared is equals to c squared minus a squared say 17 squared - 8 squared 17 squared is 289 while 8 squared is 64 the result will be 225 so b squared is equals to 225 to get b we will get the square root so b is equals to 15 so our length is 15 the area is equals to length x width so 15 * 8 you get 120 square centimetres

120 square centimeters is the area of rectangle FGHK.

What is area of a rectangle?

Area of a rectangle (A) is the product of its length (l) and width (w).

here, we have,

from the given figure,

we have the width is 8 cm and the diagonal line is 17 cm

so to get the length you're going to use Pythagoras theorem

so 8 centimeters will be represented by a

17cm will be represented by c

then length will be represented by b

so b squared is equals to c squared minus a squared

say 17 squared - 8 squared

17 squared is 289 while 8 squared is 64

the result will be 225

so b squared is equals to 225

to get b we will get the square root

so b is equals to 15

so our length is 15

the area is equals to length x width

so 15 * 8

you get 120 square centimeters.

hence, 120 square centimeters is the area of rectangle FGHK.

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1. GUACAMOLE Eli is making guacamole. He uses 2 tablespoons of cilantro for every 3 avocados. At this rate, how many tablespoons of cilantro will he need for 9 avocados?



2. MARBLES The ratio of blue marbles to white marbles in a bag is 4 to 5. At this rate, how many blue marbles are there if there are 15 white marbles?



3. FERTILIZER Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water, how much plant food should she use?



4. STRAWBERRIES At a local fruit stand, Luisa spends $3.96 for 2 pounds of strawberries. How much can she expect to pay for 4 pounds of strawberries?



5. POGO STICK On her pogo stick, Lula made 24 hops in 30 seconds. At this rate, how many hops will she make in 50 seconds?



6. TESTS On a test, Matilda answered 12 out of the first 15 problems correctly. If this rate continues, how many of the next 25 problems will she answer correctly?



7. SOCCER The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a total of 21 games?



8. VEGETABLES At a harvest, 16 ears of corn are being picked for every 18 peppers. If 9 peppers have been picked, how many ears of corn have been picked?



9. CONSTRUCTION At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed along 35 feet of road?

Answers

Answer:

1.6

2.12

3.18

4.7.92

5.40

6.20

7.18

8.8

9.14

hope this helps

please mark as brainliest!!!

Step-by-step explanation:

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

x= 14

y=5

Step-by-step explanation:

AOC and BOD are vertical angles so they are equal

AOC = BOD = 25

MOD = 90

MOD = MOB+ BOD

90 = 3x+23  + 25

Combine like terms

90 = 3x +48

Subtract 48 from each side

90-48 = 3x

42 = 3x

Divide by 3

42/3 = 3x/3

14 =x

We know that 5y+ 3x +23+90 = 180 since AB is a straight line

5y+ 3x +113 = 180

subtract 113 from each side

5y+3x =67

5y+ 3*14 =67

5y +42 = 67

5y = 67-42

5y = 25

Divide by 5

y = 25/5

y =5

Answer:

Step-by-step explanation:

x=14

simplify 7/9/14

(7/9 over 14)
(this is 7th grade work)

Answers

Answer:

98/9=10.888889

Step-by-step explanation: hope that helps

7/1/9/14

=(7/1)(14/9)

=(7)(14)/(1)(9)

= 98/9

A science test is worth 100 points and has 25 questions. There are multiple choice questions worth 3 points each and short essay questions worth 8 points each. How many short essay questions are on the test?

Answers

Answer:

There can be up to 12 short essay questions

How many tens do you see?4.There are 4 tens and how many ones?0.4 tens = 0 ones

Answers

Ik give u the answer rn wha grade u in

FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. ROUND TO THE NEAREST TENTH. (-4, 5) (4, 0)

Answers

Answer:

+9.4 to the nearest tenth

Step-by-step explanation:

(-4, 5) (4, 0)

Refering to the x-coordinates and the y-coordinates of these two points, we see that x changes from -4 to 4, a change of 8, which forms the horizontal leg of a right triangle.  Simultaneously, y changes from 5 to 0, a change of 5, which forms the vertical leg.  Now use the Pythagorean Theorem to determine the length of the hypotenuse of this triangle; this hypotenuse is the distance between the two points:

distance = +sqrt(8^2 + 5^2) = +sqrt(64 + 25) = + sqrt( 89) = +9.43 to the nearest hundredth and +9.4 to the nearest tenth.

Respond to the following question with either a TRUE or FALSE: "The following parabola opens down: f (x) = -x2 + 5"
O TRUE because the leading coefficient is negative.
O TRUE because the linear function is negative.
O FALSE because the 5 is.positive.
O FALSE because this function is actually linear and not a parabola.
O I'm not sure how to approach this problem...yet.

Answers

Answer: A) True because the leading coefficient is negative

Explanation:

The leading term is -x^2 since this term has the largest exponent.

The leading coefficient is -1 as it's the coefficient of the leading term.

It might help to write -x^2 as -1x^2

The negative leading coefficient makes the parabola open downward, so each endpoint goes off to negative infinity. The graph looks like a frowny face. You can think of a negative emotion going with a frowny face, so that negative emotion matches with the negative leading coefficient. There are probably other ways to remember but that's the trick I use.

What is the surface area of a cylinder when the radius is 10?

Answers

You need the height of the cylinder in order to calculate the surface area.
Surface area of a cylinder: 2πr^2+2πrh
h- height
r- radius - 10
π- pi- 3.14
So just substitute: 2π(10)^2+2π(10)h

Which method would you use to solve the following equation?

Answers

Answer:

Inverse

Step-by-step explanation:

I would use the inverse. Hope this helps!

Rena's grandfather opened a savings account as a college fund for her. His initial deposit and the yearly simple interest rate are shown. A college graduate is shown walking up stairs. The bottom step represents three thousand five hundred dollars. The value of the top step is unknown. The distance up the stairs is labeled four years. The simple interest rate is three point two five percent. How much will Rena have in this account after 4 years? Enter the correct answer in the box.

Answers

Answer:

$3,955

Step-by-step explanation:

Given that:

Initial deposit = $3500

Simple rate of interest = $3.25%

Number of years = 4

Simple interest = (principal * rate * time)

Principal = Initial deposit = $3500

Interest = $3500 * 3.25% * 4

Simple Interest = $455

Amount that will be in account after 4 years :

$3500 + $455 =$3955

explain and give an example of how "power to a power" rule is different from "Multiplying powers" rule.​

Answers


A Principal to to a teacher

The government is an example of multiplying powers

Can someone help me please ?

Answers

Answer:

C I am pretty sure.

Step-by-step explanation:

For C, we can alter the equation to be 5 - 9 > 2x or -2 > x which satisfies the graph above. Similarly, we can alter the second equation to be 3x ≥ -3 or x ≥ -1 which again is true from the graph above.

what is the domain and range of f(x)=35x​

Answers

Answer:

Domain and Range are all real number

Step-by-step explanation:

Answer is above

please help me!!! It’s due Thursday

Answers

that should be the answers

3(x-5) = 5x - (3 - x)

Answers

Answer:

X=-4

Step-by-step explanation:

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

X= -4

Step-by-step explanation:

what is 2 days to 12 hours in a ratio​

Answers

Answer:

1:4 ? not really sure entirely what this question is asking. more context pls ?

Step-by-step explanation:

Answer:

2 to 12?

Step-by-step explanation:

John took all his money from his savings account. He spent 198 on a radio and 4/12 of what was left on presents for his friends. Of the money remaining, John put 2/9 into a checking account and the last remaining 980 was left to charity. How much money did John originally have in his savings account?

Answers

Answer:

John had $2088 originally in his savings accounts.

Step-by-step explanation:

Let John had $x originally in his saving account

He spent $198 on a radio. The remaining money = x - $198

4/12 of what was left, he spent on presents for his friends. Remainig money = x - 198 - 4/12*(x-198)

= (1 - 4/12) of (x-198)

= 2/3 of (x-198)

John then put 2/9 if his remaining money into a checking account.

Now, the remaining money = 2/3*(x-198) - 2/9 of (x-198)

= (1 - 2/9) * 2/3*(x-198)

= 7/9 * 2/3*(x-198)

= 14/27(x-198)

Money left with him = $980

14/27(x-198) = $980

x - 198 = $980 * 27 / 14

x - 198 = 1890

x = 1890 + 198

x = 2088

Hence, John had $2088 originally in his savings accounts.

I need help with this algebra question can someone explain the steps on how you solve it ?

Answers

Answer:

27

Step-by-step explanation:

(5+√2)²

you distribute the ² in the ()

so 5²+√2²

5²=25

√2²=2 because the √ and ² cancel each other out and you get 2

so now you have

25+2

which equals

27

Given expression:

             (5 + [tex]\sqrt{2}[/tex])²

Now let us solve this problem by simplifying it;

    (5 + [tex]\sqrt{2}[/tex])²:

   the power implies the expression in the bracket should be repeated twice:

        = (5 + [tex]\sqrt{2}[/tex])  (5 + [tex]\sqrt{2}[/tex])

  Then expand the bracket by distribution;

     =  (5 x 5) + 5([tex]\sqrt{2}[/tex]) + 5([tex]\sqrt{2}[/tex]) + 2

     = 25 + 10[tex]\sqrt{2}[/tex] + 2

     =  27 + 10[tex]\sqrt{2}[/tex]

The formula for the perimeter of a rectangle is P=2(l+w). Solve for w.

Answers

Answer:

w = p/2 - l

Step-by-step explanation:

Hope this helps!!

Answer:

W=(P-2L)/2

Step-by-step explanation:

W=(P-2L)

Then what ever number you get divide by 2

To get the width

‼️ WILL GIVE BRAINLIEST AND 50 POINTS ‼️
>ALGEBRA I

If you can answer this super quickly, I will give you what I promised. Please answer all, no explanations needed.

Just questions 1&2, question 1’s options for all of them are:

•commutative property of
•addition property of equality
•2x = 8
•distributive property
•division property of equality
•x = 4
•multiplication property of equality
•subtraction property of equality

Answers

Answer:

All Real Numbers

Step-by-step explanation:

[tex]\text{Some equations, such as } 2x=2x \text{ have \bf all real numbers }\text{ as the solution.}[/tex]

The equation has infinity solutions. So, in this question as[tex]x\in \mathbb{R} \implies Dom(f)=(-\infty, \infty)=\mathbb{R}[/tex]

Just considering the problem as a function.

715,000___7.15 x 10^5
>
<
=

Answers

7.15 x 10^5 is 715,000 so they are equal

what are you guys doing for Halloween lol I honestly am not feeling it this year

Answers

Answer:

im going to have fun with the fam and  shifted one unit right and 5 units up

Step-by-step explanation:

Answer:

Me nether

Step-by-step explanat

Shifed 1 unit left and then 5 units up

Solve this equation. Enter your answer in the box.

3.5z – 2.7z = –6

z= ?

Answers

Answer:

z= -7.5

Step-by-step explanation:

subtract 3.5 from 2.7 = .8

.8z = -6

divide .8 from each side

z= -7.5

Answer:

-7.5

Step-by-step explanation:

Which of the following relations is a function?
{(3,-3), (3, -6), (3,-4)}
{(10,-9), (7, -1). (10.-9)}
O{(-6, -6), (-1, -1), (-6, -8)}
{(1, -6), (-2,-2), (1, -1)}

Answers

Answer:

calculator soup .com

Step-by-step explanation:

In trapezoid EFGH, EF¯¯¯¯¯ and HG¯¯¯¯¯¯ are the bases. Point J is the midpoint of EH¯¯¯¯¯¯ and point K is the midpoint of FG¯¯¯¯¯ . EF=3x+2 , HG=7x−2 , and JK=15 .

What is the value of x?

Answers

Answer:

6

Step-by-step explanation:

The required value of x is 3 for the given trapezoid.

What is a trapezoid?

A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.

Given that EF and HG are the bases and J and K are the midpoints of the legs, we can use the midsegment theorem which states that:

The segment connecting the midpoints of the legs of a trapezoid is parallel to the bases and is equal to half the length of the bases.

We can use this theorem to write the equation:

JK = (EF+HG)/2

Now we are given that:

EF=3x+2 , HG=7x−2 , and JK=15

So we can substitute these values in the equation:

15 = (3x+2+7x-2)/2

15 = (10x)/2

15 = 5x

x = 3

Thus, the required value of x is 3.

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If 225 widgets were produced in 2.2 hours what is the hourly production rate

Answers

Answer: The hourly production rate is about 102.3 widgets per hour

Step-by-step explanation:

1.) divide 225 by 2.2, which gives you 102.2727

2.) round to the nearest tenth

solve this please!!!!!!!!!!

Answers

Answer:

x= 3/a

Step-by-step explanation:

check the attachment for a walkthrough!

What he said.............
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