5. A population with mean = 37 and standard deviation = 6 is standardized so that the new mean is 50 and the new standard deviation is 10. A scale of 40 on the first scale is equivalent to what score on the new standardized scale?

Answers

Answer 1

Using z-scores, it is found that a scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.

What are z-scores?

The z-score of a measure X of a distribution with mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

It measures how many standard deviations the measure is above(in case the score is positive) or below(in case the score is negative) the mean. Looking at the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.

For the first scale, the parameters are given as follows:

\(X = 40, \mu = 37, \sigma = 6\)

Hence the z-score is:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (40 - 37)/6

Z = 0.5.

For the second scale, we want to find X when Z = 0.5, considering the following mean and standard deviation:

\(\mu = 50, \sigma = 10\)

Hence:

\(Z = \frac{X - \mu}{\sigma}\)

0.5 = (X - 50)/10

X - 50 = 5

X = 55.

A scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.

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Related Questions

(03.02 MC)

Which of the following is a factor of 12x2 − 4x − 1? (6 points)

Group of answer choices

A. 6x − 1

B. 2x + 1

C. 2x − 1

D. None of the above

Answers

Answer:

C) 2x - 1

Step-by-step explanation:

12x² - 4x - 1 = 12x² - 6x + 2x - 1

= 6x(2x - 1) + (2x - 1)

= (2x - 1) (6x + 1)

In the formula l=p.r.t what does P stand for

Answers

possibly perimeter since i’m assuming it’s L = perimeter.radius.time

In 2005, the population of a state was 31,006,000. If the population grows at 1.2% per year, approximately how
many years (from 2005) will it take the population to reach 40,000,000? (Assuming it grows at the same rate)
use the continuous growth function:
A=pen

150 years
249 years
21 years
26 years

Answers

Answer:

Step-by-step explanation:

Population of the state will reach 40,000,000 in 21 years from year 2005.

Option (3) will be the correct option.

Exponential growth of the poulation: Exponential growth for the population growth is given by the expression,

F = I(1 + r)ⁿ

Here, F = Final population

I = Initial population

r = Growth rate

n = Number of years for population growth

Given in the question,

Initial population = 31006000Growth rate = 1.2%Final population = 40000000

To find the number of years for population growth, substitute the values,

F = I(1 + r)ⁿ

40000000 = 31006000(1 + 0.012)ⁿ

40000 = 31006(1.012)ⁿ

\((1.012)^n=\frac{40000}{31006}\)

\(\text{log}(1.012)^n=\text{log}(1.29)\)

nlog(1.012) = log(1.29)

0.00518n = 0.11059

n = \(\frac{0.11059}{0.00518}\)

n = 21.34

n ≈ 21 years

Therefore, population of the state will reach 40,000,000 in 21 years from 2005. Option (3) will be the answer.

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For the function ƒ(x) = 3x2 – 7, find the value of ƒ(x) when x = 3

Answers

Answer:

Step-by-step explanation:

ƒ(x) = 3x^2 – 7

Let x=3

Evaluate the function

f(3) = 3 * (3)^2 -7

= 3*9 -7

= 27-7

= 20

Step-by-step explanation:

Given

function f(x)=3x^2-7

Now put x=3

f(3)=3(3)^2 -7

=3(9)-7

=27-7

f(3)=20

therefore the value of f(x) at x=3 is 20

Which expression correctly represents "eight times the difference of four and a number"?
O 8n-(4)
O 8(4-1)
O S(n)-4
OB(4)-n

Help!!!!!!

Answers

Answer:

should be something close to 8 * (4-n) or 8 * (n-4)

Step-by-step explanation:

The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by one, the simplified result is 6/7. Find the original fraction.

Answers

Answer:

10/12

Step-by-step explanation:

Let's work backwards.

We decrease both 6 and 7 by one, then we get 5 and 6. So our new fraction is 5/6. We know that the denominator is two more than the numerator, so we have to pick numbers that are multiples of 5 and 6 and make it so the denominator is two more than the numerator.

Lucky for us we only have to multiply 5 and 6 by 2 to get an answer that works:

10/12

15 boys can cut the grass on the football field in 12days. how many days will it take 9 boys

Answers

X=15-12
X=3(number of days in difference to the number of people)
X=9-3
X=6 it would take 6 days to cut the grass with 9 boys

Number of days taken by \(9\) boys to cut the grass on the football field is equals to \(20\) days.

What is number?

"Number is defined as the arithmetic value which help us to count the data as per the given situation."

According to the question,

Number of days taken by \(15\) boys to cut the grass on the football field

\(=12\)days

As per the given condition we have,

Number of days taken by \(9\) boys to cut the grass on the football field

\(=\frac{(15)(12)}{9}\)

\(= 20\)days

Hence, number of days taken by \(9\) boys to cut the grass on the football field is equals to \(20\) days.

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A spinner with 5 equally sized slices has 2 yellow slices, 2 red slices, and 1 blue slice. Mai spun the dial 25 times and got the following results?

Answers

TheThe experimental probability of landing on yellow is 56% and the theoretical probability of landing on yellow is 40%.

Probability

Given data:

Total no. of slices in spinner = 5

No. of yellow slices = 2

No. of red slices = 2

No. of blue slices = 1

No. of dials = 25

Hence:

a. Experimental probability of landing on yellow:

For yellow the number of spin is 14

P(Y)=14/25

P(Y)=56×100

P(Y)=56%

b. Theoretical probability of landing on yellow.

2 yellow slices and the total slice is 5

P(Y)=2/5

P(Y)=0.4×100

P(Y)=40%

Therefore the experimental probability of landing on yellow is 56% and the theoretical probability of landing on yellow is 40%.

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A spinner with 5 equally sized slices has 2 yellow slices, 2 red slices, and 1 blue slice. Mai spun the

PLS HELP I REALLY NEED HELP FAST

Answers

Answer:

1st one

Step-by-step explanation:

help me asap. i’ve been stuck on this question for like two hours

Answers

Answer:

Step-by-step explanation:

how do I rewrite this using the distinctive property

6(-4)

The circumference of a circle is 20 cm. What is the approximate radius of the circle?

Answers

Answer:

The solution is attached here. Hope it helps ☺️

The circumference of a circle is 20 cm. What is the approximate radius of the circle?

Answer:

\(r = 3.18cm\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.

Carpeted Un-Carpeted
15.9 8.1 15 7.2 10.4 6.1
11.2 16 11.2 6.8 11.3 6.8
8.6 10 12.1 6.3

Requried:
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Answers

Answer:

The null (H\(_{0}\)) and alternative (H\(_{1}\)) hypotheses can be stated as follows:

H\(_{0}\): μ\(_{1}\) = μ\(_{2}\).

H\(_{1}\): μ\(_{1}\) > μ\(_{2}\).

Step-by-step explanation:

In the question, the given assertion is that carpeted rooms have more bacteria than uncarpeted rooms, i.e. μ\(_{1}\) > μ\(_{2}\).

The assertion made in the question can either be the null hypothesis (H\(_{0}\)) or the alternate hypothesis (H\(_{1}\)). An equality must be present in the null hypothesis. The alternative hypothesis expresses the exact opposite of the null hypothesis if the claim is the null hypothesis.

Therefore, the null (H\(_{0}\)) and alternative (H\(_{1}\)) hypotheses can be stated as follows:

H\(_{0}\): μ\(_{1}\) = μ\(_{2}\).

H\(_{1}\): μ\(_{1}\) > μ\(_{2}\).

Does (3, -50) make the equation y = -8x true?

Answers

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Drag and drop the answers into the boxes to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A sequence of transformations that maps △DEF to △D′E′F′is a Response area followed by a Response area.
The two right triangles are on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 with an increment of 1. The vertical y-axis ranges from negative 5 to 5 with an increment of 1. A dashed triangle has vertex F prime at begin ordered pair 0 comma 1 end ordered pair, vertex D prime at begin ordered pair 1 comma 1 end ordered pair and vertex E prime at begin ordered pair 1 comma 4 end ordered pair. A solid triangle has vertex F at begin ordered pair negative 1 comma negative 1 end ordered pair, vertex D at begin ordered pair negative 2 comma negative 1 end ordered pair and vertex E at begin ordered pair negative 2 comma negative 4 end ordered pair.

Answers

A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation

https://brainly.com/question/4289712

A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

What is the sequence of transformations?

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

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11. Find the sum

2 1/2 + 1 3/4=

Answers

Answer:

It should be 4.25.

A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?

Answers

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

How to test the data indicate that the length of the left foot is greater than the length of the right foot?

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
A. a reflection over the x -axis
B. a rotation 90° clockwise about the origin
C. a rotation 180° counterclockwise about the origin
D. a translation 10 units to the left and 10 units down

Answers

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

What is a rotation?

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y) → (-x, -y)

Coordinates of point X (0, 4) → Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3) → Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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ajay had Rs.2000.he bought shoes for Rs.1090.How much money is left with ajay

Answers

answer is Rs 910 hope it helps you

-5(x - 10) = -35, figure out what x is

Answers

\(\text {Hey! Let's Solve this Problem!}\)

\(\text {\underline {The First Step is to Simplify the Equation}}\)

\(\text {Before: -5(x-10)=-35}\)

\(\text {After: -5x+50=-35}\)

\(\text {\underline {The Next Step is to Subtract 50}}\)

\(\text {-5x+50-50=-35-50}\)

\(\text {Your New Problem Is: -5x=-85}\)

\(\text {\underline {The Final Step is to Divide -5}}\)

\(\text {-5x/-5=-85/-5}\)

\(\text {Your Answer Would Be:}\)

\(\fbox {x=17}\)

\(\text {Best of Luck!}\)

Answer:

Step-by-step explanation:

-5 (x - 10) = -35

-5x + 50 = -35

-5x = -35 - 50

-5x = -85

x = 17

Hopefully this answer helps you :)

PLEASE HELP WILL MARK BRAINLIEST PLEASE HELP

Answers

Answer:12

Step-by-step explanation:

Cheesecake Factory has 5 vanilla, 10 strawberry, and 6 chocolate cheesecakes in the window for sale. What is the ratio of strawberry to total? *

Answers

Answer:

10:21

Step-by-step explanation:

emilythompson35464 hope this helps srry if it doesn't tho

Convert the equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci.

Answers

Convert the equation to standard form by completing the square on x and y

\(100x^2+9y^2+600x+126y+441=0\)

collect like terms:

\(\begin{gathered} 100x^2+9y^2+600x+126y+441=0 \\ 100x^2+9y^2+600x+126y=-441 \\ 100x^2+600x+9y^2+126y=-441 \end{gathered}\)\(\begin{gathered} 100x^2+600x+9y^2+126y=-441 \\ 100(x^2+6x)+9(y^2+14y)=-441 \\ 100(x^2+6x+(3)^2)+9(y^2+14y+(7)^2)=-441+100(3)^2+9(7)^2 \\ 100(x+3)^2+9(y+7)^2=-441+900+441 \\ \frac{100(x+3)^2+9(y+7)^2}{900}=\frac{900}{900} \\ \frac{(x+3)^2}{9}+\frac{(y+7)^2}{100}=1 \end{gathered}\)\(\begin{gathered} a^2=9 \\ a=\sqrt[]{9} \\ a=3 \end{gathered}\)\(\begin{gathered} b^2=100 \\ b=\sqrt[]{100} \\ b=10 \end{gathered}\)\(\begin{gathered} c=\sqrt[]{9-100} \\ c=\sqrt[]{-91} \end{gathered}\)

The standard form of the ellipse is

\(\frac{(x+3)^2}{9}+\frac{(y+7)^2}{100}=1\)

While the foci

\(\text{foci (-3},-7\pm\sqrt[]{91})\)

2 pairs of shoes in their closet

Answers

20% probability of 2 shoes in there closets

Answer:

0.2

Step-by-step explanation:

yall it literally says the probability LOL it has its own section, look at the numbers 2 and 20 and under them, the probabilty is spelled out for you :]

Mr. Gupta gave his students a quiz with three questions on it. Let
�
XX represent the number of questions that a randomly chosen student answered correctly. Here is the probability distribution of
�
XX along with summary statistics:
�
=
# correct
X=# correctX, equals, start text, \#, space, c, o, r, r, e, c, t, end text
0
00
1
11
2
22
3
33
�
(
�
)
P(X)P, left parenthesis, X, right parenthesis
0.05
0.050, point, 05
0.20
0.200, point, 20
0.50
0.500, point, 50
0.25
0.250, point, 25
Mean:
�
�
=
1.95
μ
X

=1.95mu, start subscript, X, end subscript, equals, 1, point, 95
Standard deviation:
�
�
≈
0.8
σ
X

≈0.8sigma, start subscript, X, end subscript, approximately equals, 0, point, 8
Mr. Gupta decides to score the tests by giving
10
1010 points for each correct question. He also plans to give every student
5
55 additional bonus points. Let
�
YY represent a random student's score.
What are the mean and standard deviation of
�
YY?

Answers

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

How to answer the aforementioned question

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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4 4/5 divided by 2 1/5

Answers

Answer:

2 2/11

Step-by-step explanation:

Hurry no links pls Eve can take one of three different buses to and from work
(bus A, B, or C). She randomly catches one bus in the
morning and another one on the way home. This table lists
the sample space of outcomes.
Afternoon
A
в с
A AA AB AC
Morning
B BA BB BC
C CA CB CC
In the event AB, Eve rides the A bus in the morning and the
B bus in the afternoon.
Which outcome would be included in the event "rides bus C both ways"?
A. CC
B. AA
C. BC
D. CA

Answers

A
Because it’s the only one where bus c is rode both directions

Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.

What is Johnny's speed compared to Jane?

Explain.

25%
50%
150%
400%

Answers

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8

Answers

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Which pile of laundry has more shirts?
Pile 1
Three pants two shirts
Pile 2
Two shirts 4 pants

Answers

They’re the same ??? They both have two shirts… i think.

Answer:111

Step-by-step explanation:

1111

write the english phrase as an algebraic expression. Let x represent the number

Answers

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

Writing the english phrase as an algebraic expression

From the question, we have the following parameters that can be used in our computation:

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7