A graduate student conducted a study of field mice in rural Kansas. The student obtained a sample of 100 field mice and recorded the weight, in grams, of each mouse. The mean and standard deviation of the recorded weights are 35 grams and 2.4 grams, respectively. After the measurements were taken, it was discovered that the scale was not calibrated correctly. The student adjusted the 100 measurements by subtracting 3 grams from each measurement. What are the values of the mean and standard deviation of the corrected measurements

Answers

Answer 1

Subtracting 3 from all measurements, it is found that:

The mean will decrease by 3.The standard deviation will remain constant.

What are the mean and the standard deviation of a data-set?

The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

From this, we have that:

When 3 is subtracted from all measures, the sum of all observations will be subtracted by 3 x 100 = 300, hence the mean will decrease by 3.The mean decreases by 3, as does each observation, hence the sum of the differences squared between each observation and the mean remains constant, as does the standard deviation.

More can be learned about the standard deviation of a data-set at https://brainly.com/question/12180602

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Related Questions

HELP HELP HELP AND EXPLAIN ANSWERS PLEASE. I U PUT A LINK UR GONNA GET REPORTED

Answers

9514 1404 393

Answer:

  2)  (b) -7

  3)  (b) 14

Step-by-step explanation:

2) The sum is found by adding the numbers together. Your calculator can help if you can't do it in your head. I usually find it easier to add the positive and negative numbers separately. Of course the 0 can be ignored.

  18 + 0 -4 -12 +6 -15 = (18 +6) -(4 +12 +15) = 24 -31 = -7

__

3) Apparently, we are to assume that George's percentage will apply to the next 40 pitches. Then ...

  (number missed)/(number thrown) = 35%

  missed = (thrown)×0.35 = 40×0.35 = 14

George is expected to miss 14 of the 40 pitches.

2. Raj buys a terrarium that is in the shape of a triangular prism. The dimensions of the
terrarium are shown below.
o 3 ) –
O 2 (3 (0()) + 3 (5. 10) = 174
S in
5 in
4 in
10 in
6 in
(6) (4)+ (5.10)+ 2 (6 - 10) 122
Raj knows that every triangular prism is made up of two triangular sides and three
rectangular sides. Which equation represents the total surface area, in square inches,
of the terrarium?
O
(6 + 5 + 5)(10)+2 (3 (019)
CLEAR ALL

Answers

I cannot see it like that

Which of the following best describes how to solve
2x+3 = 2x + 37

Answers

Answer: The first option.

Step-by-step explanation:

If you square you get [tex]2x+3=2x+9[/tex]

x=0

ill mark brainlist plss help

Answers

Step-by-step explanation:

Perimeter of rectangle = 2(l+b)

= 2(97+17)

= 2(114)

= 228cm

Answer:

P = 228 inches

Step-by-step explanation:

P = 2(l + w)

l = 97 inches

w = 17 inches

P = 2 (97 + 17)

P = 2 x 114

P = 228

Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather, traffic conditions, and the employer's line of business. One week after its release, 6,040 copies of Slick Slack were downloaded. After 5 weeks, 13,090 copies had been downloaded. Let x represent the number of weeks since Slick Slack was released, and y represent the number of copies that had been downloaded. Use the marginal change and the fact that 1 week after its release 5840 copies of Slick Slack were downloaded to determine the y intercept in the equation y = a + bx.
a) (x,y) =____.
b) write the equation in the form y = a + bx for the number of copies downloaded x weeks after its release.

Answers

Answer:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (2,13090)[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex] --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (5,13090)[/tex]

Next, we calculate the slope (m) using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{13090 - 5840}{5 - 1}[/tex]

[tex]m = \frac{7250}{4}[/tex]

[tex]m = 1812.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 1812.5(x - 1) + 5840[/tex]

[tex]y = 1812.5x - 1812.5 + 5840[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

To calculate the y intercept, substitute 0 for x

[tex]y_0 = 1812.5*0 + 4027.5[/tex]

[tex]y_0 = 0 + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex]

Elena's math class had 25 students yesterday. she miscounted the class total and recorded it as 20 students. What is Elena's percent error ?

Answers

Elena had a 5% error

Which inequality is represented by this graph? ​

Answers

Answer:

number 1

Step-by-step explanation:

You have $400,000 saved for retirement. Your account earns 5% interest. How much will you be able to pull
out each month, if you want to be able to take withdrawals for 25 years?

Answers

Answer:

$4,515.14

Step-by-step explanation:

First we need to get the amount after 25 years on $400,000 at 5% interest

Using the compound interest formula

A = P(1+r)^n

A = 400,000(1+0.05)^25

A = 400,000(1.05)^25

A = 400,000(3.3864)

A = $1,354,541.98

Since 25years = (25*12)months

25 years = 300months

Amount to be able to pull out each month = $1,354,541.98/300

Amount to be able to pull out each month = $4,515.14

Hence you will be able to pull out $4,515.14 each month

How to find the value of x

Answers

Step-by-step explanation:

To find the value of x bring the variables to the left side and bring all what remained values to the right side and then simplify them to find the answer or the result hope I helped and a have a good luck

I will give you b if your answer is correct I only mark first answer so please help me

Answers

Answer:

b

Step-by-step explanation:

pls helpp !!! ASAP i’ll give you the brainlest answer ONLY if the answer is correct!! BUT PLS HELP ME outt last minute

Answers

Answer:

10 is the right answer

Step-by-step explanation:

please mark me as brainliest answer

Complete the following problem.
A backpacker hiked 7/8 of a mile the first hour, 3/4 of a mile the second hour and
2/3 of a mile the third hour. How far did he go in three hours?
The backpacker hiked
_ miles in three hours.
.
NEED HELP LIKE NOW WORK IS DUE TOMORROW!!!!!!

Answers

Answer:

55/24 miles or 2 7/24 2.29... miles

Step-by-step explanation:

7/8 = 21/24

3/4 = 18/24

2/3 = 16/24

16+18+21=55

Can Somebody Help Me Please?

Answers

Answer:

28 (length' unit)²

Step-by-step explanation:

the area of all A rectangle is 4*8 =32The area of the missing portion of the rectangle is equal to the area of the triangle ½*(2)*(4)=4the area of this shape equal to

the area of all A rectangle - The area of the missing portion of the rectangle = 32 - 4 = 28 (length' unit)²



What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as

a decimal precise to two decimal places.

P=

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a

decimal precise to two decimal places.

P-

Answers

Complete question :

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.

Answer:

0.56 ; 0.60

Step-by-step explanation:

From The attached Venn diagram :

C = attend college ; J = has a job

P(C) = (35+45)/300 = 80/300 = 8/30

P(J) = (30+45)/300 = 75/300 = 0.25

P(C n J) = 45 /300 = 0.15

1.)

P(J | C) = P(C n J) / P(C)

P(J | C) = 0.15 / (8/30)

P(J | C) = 0.5625 = 0.56

2.)

P(C | J) = P(C n J) / P(J)

P(C | J) = 0.15 / (0.25)

P(C | J) = 0.6 = 0.60

190 sweets is split into 80 sweets and 110 sweets . in simplest form ,what is the ratio of the split?​

Answers

Answer:

8:11

Step-by-step explanation:

80:110

Find highest common factor which would be 8.

Divide both sides by 8.

8:11

One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.



Help please thank you so much! (Math has never really been my strongest subject)

Answers

Answer:

Step-by-step explanation:

1 acre = 4,840 yd²

1 acre = 43,560 ft²

4,840 yd² = 43,560 ft²

1 yd² = 43,560/4,840 ft² = 9 ft²

Pamela's age is three times Jiri's age. The sum of their ages is 72. What is Jiri's age?

Answers

Answer:

24

Step-by-step explanation:

72/3=24

Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 35?

Answers

Answer:

yes

Step-by-step explanation:

Hello There!

In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared

so if this is a right triangle then

[tex]21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225[/tex]

so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle

I need an answer now please quick and easy​

Answers

the question is cut off

Desire conducts a survey of all 800 students in her school to find their favorite berry. She graphs the results of the survey the circle graph shown. If the number of students who prefer raspberries doubles, how many students would choose raspberries as their favorite?

A) 80 students
B) 320 students
C) 40 students
D) 160 students

("My teacher gave a hint: The correct percent (double 20% is 40%) but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!")

Answers

Answer:

C) 40 students

Step-by-step explanation:

The correct percent double 20% is 40% but they want to know what is 40% of the total. Set up a proportion.

x 40%

_____ = _____

800 100  

Cross multiply and divide to get your answer!

What is the range for c=6t+8

Answers

Answer:

is this statistics? i will change my answer once u explain to me thank you.

Step-by-step explanation:

Answer:

Its infinite

Step-by-step explanation:

PLZ I NEED HELP ANSWER QUICK PLZ

Answers

Answer:

wut the actual fu q docu FM HD so

What is 5+5+5+5+5+5+5+5+5+5+5+5+5

Answers

Answer:

65

Step-by-step explanation:

13x5 = 65

Answer:

The answer is 65 lol

Step-by-step explanation:

Hopefully this helps

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew Research, June 5, 2014). An independent research firm has been charged with conducting a sample survey to obtain more current information.

Required:
a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).
b. Repeat part (a) using a 99% confidence level (round up to the next whole number).

Answers

Answer:

a)

[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.

b) A sample size of 991 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent

This means that [tex]\pi = 0.16[/tex]

a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).

This is n for which [tex]M = 0.03[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = z\sqrt{\frac{0.16*0.84}{n}}[/tex]

[tex]0.03\sqrt{n} = z\sqrt{0.16*0.84}[/tex]

[tex]\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]

[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex], in which z is related to the confidence level.

Question b:

99% confidence level,

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

[tex]n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2[/tex]

[tex]n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2[/tex]

[tex]n = 990.2[/tex]

Rounding up

A sample size of 991 is needed.

If l=3, w= 3, and h= 5, what is the volume of this box​

Answers

Answer and Step-by-step explanation:

To find the volume, we multiply the length by the width by the height for a rectangular prism (aka the box).

length = l = 3

width = w = 3

height = h = 5

Now, we multiply each together.

3 × 3 × 5

9 × 5

45

The volume of the box is 45.

#teamtrees #PAW (Plant And Water)

Answer:

the volume of the box would be 45

Step-by-step explanation:

If q||r, solve for x.

Answers

Answer:

x = 17

Step-by-step explanation:

They are alternate exterior angles, so they are congruent. This means that:

[tex]7x - 10 = 9x - 44\\34 = 2x\\x = 17[/tex]

The value of x, if the lines  7x - 10 and 9x - 44 are parallel, is 17.

What is a line?

Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.

Given:

The equations of lines are 7x - 10 and 9x - 44,

As we know, the line parallel has the same slope,

The condition of parallel lines ca be written as,

[tex]L_1 / L_2 = 1[/tex]

Here, L₁ and L₂ are equations of lines,

7x - 10 / 9x - 44 = 1

9x - 44 = 7x - 10

9x - 7x = 44 - 10

x = 34 / 2

x = 17

To know more about the line:

https://brainly.com/question/2696693

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Which conclusion does the diagram support?

Answers

Answer:

C. AB/BC=FE/ED

Step-by-step explanation:

pls help I'll mark the first person brainliest answer all​

Answers

Answer:

4

a. 12

b. 8

c. 30

d. 40

Step-by-step explanation:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

so first its 4

a. 12

b. 8

c. 30

d. 40

i will try to explain:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

Use the ALEKS calculator to write 47/21 as a decimal rounded to the nearest tenth.​

Answers

Answer:

2.2

Step-by-step explanation:

47/21 = 2.238095

round to tenth = 2.2

Answer:

2.2 would be the answer. :)))

PLEASE HELP ! due in few minutes !

Answers

Answer:

A

Step-by-step explanation:

the x values are the same so there is no increase or decrease in slope. therefore the slope is 0

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