PLSS HELP !!!A data set has a standard deviation of 2.5. The element 16 is an element of a data set, with a z-score of 2.4. What is the mean of the data set?

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Given the following parameters

standard deviation σ = 2.5

z-score Z = 2.4

observed value x = 16

Mean of the dataset μ = ?

Using the formula for calculating the z-score as shown to calculate the mean

[tex]Z = \frac{x - \mu}{\sigma}[/tex]

On substituting the values;

[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]

The mean of the dataset is 10


Related Questions

Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for 6? Why or why not?

Answers

Answer:

No, it is not.

Step-by-step explanation:

comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,

   6 - 2 = 4

So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.

You are looking for all possible pairs of car models and colors. A manufacturer has 12
models, each with 18 color options. What is the total possible pairs?

Answers

Answer:

216

Step-by-step explanation:

12 × 18 = 216 :)) !!!!

select the correct answer. witch is the correct simplified form of the expression ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-1/3 -1/2 = -5/6

1/2-1/4 = 1/4

The negative makes the reciprocal

x^1/4/y^5/6

To write 11x^2+17x-10 in factored form, Diego first listed pairs of factors of -10.

(__+10)(__+-1)
(__+1)(__+-10) (fill in blanks)

(You dont need to explain just answer it)

Answers

(11x+10)(x+-1)
(X+1)(11x+-10)

5x - 2 = 10 - X
Please help

Answers

Answer: x = 2

5x - 2 = 10 - x

Add x to both sides.

6x - 2 = 10

Add 2 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Step-by-step explanation:

5x - 2 = 10 - x

5x + x = 10 + 2

6x = 12

x = 12/6

x = 2

A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. What is the volume of the current-sized box? a0 cubic inches

Answers

Answer:

Volume of the box = [tex]2244inches^{3}[/tex]

Step-by-step explanation:

Given

Number of reams in one stack = 4

Number of stacks in the box = 3

Dimensions of a ream = 8.5 inches, 11 inches and 2 inches respectively

To find

Volume of one ream = Length × Breadth × Height

                                   = 8.5 × 11 × 2

                                   = [tex]187 in^{3}[/tex]

Volume of all the four reams in one stack = 187 × 4

                                                                      = [tex]748in^{3}[/tex]

Volume of all the three stacks in the box = 748 × 3

                                                                    = [tex]2244in^{3}[/tex]

∴ Volume of the box = [tex]2244inches^{3}[/tex]

Answer:

The answer is 2244 in3. hope this helps☻♥.

HELP PLEASE!
Which expression is equivalent to 2m2-m2(7-m)+6m2?
A.m2-m
B.-m3+13m2
C.-m3+m2
D. m3+m2

Answers

Answer:

D. m³+m²

Step-by-step explanation:

If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:

2m² -7m²+m³+6m²

m²+ m³

Answer:

other guy is right

Step-by-step explanation:

edg. 2020

Need help ASAP


How to check that a trinomial is a perfect square ?

Answers

Answer:

Step-by-step explanation:

multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.

Help!
MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the new price of a bag, y, given an original price, p? Select all that apply. *
A) y = 0.72p
B) y = p + 0.72p
C) y = 1.28p
D) y = p + .28p
E) y=1.28p
F) y = 1 + .28p

Answers

Answer: it’s C.

Step-by-step explanation:

The equation that represents the new price of a bag is y = 1.28p.

Markup rate is the ratio of the difference between the selling price and cost price to the cost price. It is given by:

Markup rate = (selling price - cost price)/cost price

Given that y is the selling price, p is the cost price and the markup rate is 28%, hence:

28% = (y- p)/p

y-p = 0.28p

y = 1.28p

Hence the equation that represents the new price of a bag is y = 1.28p.

Find out more at: https://brainly.com/question/23106860

If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many possible outcomes are there? A. 4 B. 8 C. 12 D. 16

Answers

Answer: C  12

Step-by-step explanation:

ALL possible outcomes

1 tails

2 tails

3 tails

4 tails

5 tails

6 tails

1 Heads

2 Heads

3 Heads

4 Heads

5 Heads

6 Heads

so its 12 total outcomes

Answer:

12

Step-by-step explanation:

 

go ask edge

 

Which of the following statements best describes adjacent angles?
Adjacent angles are vertical.
O Adjacent angles are supplementary.
Adjacent angles share interior points.
Adjacent angles share a side.

Answers

Answer:

  (d)  Adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a side and a vertex, but do not share any interior points. The appropriate choice is ...

  Adjacent angles share a side.

Answer: D:  Adjacent angles share a side

Step-by-step explanation: Hope that helped

(a) Find an angle between 0 and 2π that is coterminal with −19π10.

Answers

Answer:

[tex]\dfrac{\pi}{10}[/tex].

Step-by-step explanation:

All coterminal angles of an angle [tex]\theta[/tex] are defined as

[tex]\theta +2n\pi[/tex] or [tex]\theta + n360^{\circ}[/tex]

where, n is an integer.

The given angle is

[tex]\theta=-\dfrac{19\pi}{10}[/tex]

So, all coterminal angles of an angle [tex]\theta[/tex] are

[tex]-\dfrac{19\pi}{10}+2n\pi[/tex]

For n=1,

[tex]\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi[/tex]

[tex]\Rightarrow -\dfrac{19\pi}{10}+2\pi[/tex]

[tex]\Rightarrow \dfrac{-19\pi+20\pi}{10}[/tex]

[tex]\Rightarrow \dfrac{1\pi}{10}[/tex]

Since,  [tex]\dfrac{\pi}{10}[/tex]  between 0 and 2π, therefore,  the required coterminal angle is [tex]\dfrac{\pi}{10}[/tex].

How do you write the circumference of the circle in terms on 几

Answers

____________________________________

Hey!!!

The formula to find circumference of circle

=2 pi r

For eg:

Radius=4 cm

Circumference of circle=2 pi r

=2 *pi*4

=8 pi

Hope it helps..

Good luck on your assignment

#Stay safe#

__________________________________

Figure 3:

1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total

1. 9
2. 12
3. 18

Answers

c) 18 because you could get 6 numbers with red, 6 numbers with brown and 6 numbers with yellow.

Answer:

9

Step-by-step explanation:

someone please help me please and thank you

Answers

Answer:

it is the second one

Step-by-step explanation:

if you rotate it by 180 degrees then it will end up across the original and it will look upside down. after you rotate it dilate it by 1/2 which will look smaller than the original. after you dilate it it should be across the orriginal and upside down and be smaller than the original.

Samantha is going to the store to buy cat food. A small bag of cat food costs $6 while a large bag costs $14. She plans to buy at least 4 bags of food but spend no more than $56. Which of the following is a possible combination of the types of bags she can buy?

Answers

Answer:

5 small bags of cat food and 1 large bag of cat food

Step-by-step explanation:

bc thats the only one that  was no more than $54 and was at least 4 bags o food :)

pls help meeeeeeee pls ​

Answers

Answer 3: m equal 12h
You can begin by choosing a point on the graph.

Chosen point = (x, y) = (1, 12)
m = amount of money
h = hours
12m = 1h

Answer: 12m = h

How do I solve this equation:
-5(n-1)=7(n+3)

Answers

-5(n-1) = 7(n+3)

First, distribute the 5 in the first parentheses.

-5n+ 5 = 7(n+3)

Next, distribute the 7 in the second set of parentheses.

-5n + 5 = 7n + 21

Subtract 7n from both sides.

-5n + 5 -7n = 21

Subtract 5 from both sides.

-5n - 7n = 21 + 5

Collect like terms.

-12n = 16

Divide both sides by -12

Answer -3/4

Answer:

-3/4

Step-by-step explanation:

The First step is to distribute the 7 in the second part of parentheses.

-5+5-7n=21

-5-7n=21+5

Then collect the terms

-12n=16

Lastly distribute both sides by -12

And the answer is -3/4

i need help please thanks

Answers

Answer:

66 units

Step-by-step explanation:

just addition

Answer:

66 units

Step-by-step explanation:

The perimeter of a two dimensional object is all of its sides added together:

6+14+10+17+4+3+8+4=

20+10+17+4+3+8+4=

30+17+4+3+8+4=

47+4+3+8+4=

51+3+8+4=

54+8+4=

62+4=

66 units


giving brainliest to first answer!!
Determine the area of the composite figure to the nearest whole number.
A) 9 ft2
B) 11 ft2
C) 13 ft2
D) 17 ft2

Answers

Answer:

C

Step-by-step explanation:

3/4 * 4pi = 3pi

3pi + 4 =. 13

Need Help ASAP!!!!!....

Answers

Answer x=2.5 the steps are in the picture below

Isabella watched the cashier scan the 7 items in her shopping cart. The scanned prices were
$9.00 $9.00 $8.00 $5.00 $7.00 $4.00 $7.00
What was the median price of the items?

Answers

Answer:

$7.00

Step-by-step explanation:

First you have to order the prices from least to greatest-

$4.00, $5.00, $7.00, $7.00, $8.00, $9.00, $9.00

Median means the number in the middle so you find the middle number which is $7.00 (the 4th number from least to greatest)

The median price is 49.00

Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2

Answers

Answer:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Step-by-step explanation:

[tex]x+2y=-8 \\\\y=12x-2[/tex]

Substitute:

[tex]x+2(12x-2)=-8[/tex]

Expand:

[tex]x+24x-4=-8[/tex]

Simplify:

[tex]25x=-4[/tex]

Divide both sides by 25:

[tex]x=-\dfrac{4}{25}[/tex]

Plug this back into one of the original equations to find y:

[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]

The ordered pair that represents this solution is therefore:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Hope this helps!

The function y = 100(0.5)
x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.

Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.

Answers

Answer:

18% , 27 Hours

Step-by-step explanation:

On edge 2020

The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,

⇒ [tex]y = 100 (0.5)^{x/4}[/tex]

Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.

Therefore, the value can be written as,

⇒ [tex]y = 100 (0.5)^{x/4}[/tex]

Put x = 10;

⇒ [tex]y = 100 (0.5)^{2.5}\\[/tex]

⇒ y = 17.677

⇒ y = 17.7

Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.

Learn more about Function visit:

brainly.com/question/5245372

#SPJ7

Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2

Answers

Answer:

A and D

Step-by-step explanation:

576 ^ 1/2 = + or - 24

Plz answer the following equation. Plz answer all the questions... !!! 20 pts !! With explanations of each and plz can you make e understand them.

Answers

Answer:

add the negative to the 0 that is left alone at the end then carry the x2 over to the side bringing it down with the x and cancel them taking away the 2. the answer is -1

Step-by-step explanation:

Answer:

2+√3

2-√3

Step-by-step explanation:

4x-1-x²=0x²-4x+1=0x²-4x+4-3=0(x-2)²=3x-2=√3 ⇒ x= 2+√3x-2= -√3 ⇒ x= 2-√3

Roots are irrational

You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$

Answers

Answer:

The amount of interest to be paid is $105

Step-by-step explanation:

To find how much interest that will be paid, we will follow the steps below;

Simple Interest = PRT / 100

where p is the principal,  R is the rate and T is the time  in years

from the question given

principal P = $1000

Rate R = 3.5  

and time T = 3

substitute the values into the formula above

Interest = $1000×3.5×3   / 100

              =$10×3.5×3

               =$105

Interest = $105

The amount of interest to be paid is $105

Answer: no sense

Step-by-step explanation:

PLZZ HELPP Why is it important to simplify rational expressions before multiplying or dividing? How do you determine that a rational expression is in simplest form? Compare the process to addition and subtraction.

Answers

Answer:

"Simplifying rational expressions will make the further calculations easier since the variables to work with will usually be smaller.

To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables."

Step-by-step explanation:

Find the value of x in each case. Give reasons to justify your solutions!

Q ∈ PR

Answers

Answer:

x = 52 Degrees

Step-by-step explanation:

Welp, here I go again

According to the Exterior Angle theorem Angle R + Angle S = Angle PQS

So simplified that'd be (90 + 34) = x + 72

124 = x + 72

x = 124 - 72

x = 52 Degrees

Please help! I will mark you as brainliest!

Answers

Answer:

£290.70

Step-by-step explanation:

50x5=250

20x2=40

10x7=70

5x3=15

total = 375

375/1.29=290.697

= £290.70

Step-by-step explanation:

$50-5= 50×5

= 250

$20-2=20×2

= 40

$10-7= 10×7

= 70

$5-3= 5×3

15

then,

we add

250 + 40 + 70 + 15 = 379

£1= $1.29

$ = 1/1.29

= 379/1.29

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