The number of peanuts in bags is normally distributed with a mean of 172.5 peanuts and a standard deviation of 1.9 peanuts. What is the z-score of a bag containing 168 peanuts

Answers

Answer 1

Answer:

- 2.368

Step-by-step explanation:

Given that :

Mean (m) = 172. 5

Standard deviation (s) = 1.9

Score (x) = 168

The Zscore can be obtained thus :

Zscore = (x - m) / s

Zscore = (168 - 172.5) / 1.9

Zscore = - 4.5 / 1.9

Zscore = −2.368421

Zscore = - 2.368


Related Questions

There are 132 eighth-grade students at Hoover Middle School. If there are 6 eighth-grade teachers, how many students are there per teacher?

A. 18 students per teacher
B. 22 students per teacher
C. 24 students per teacher
D. 16 students per teacher

Answers

Students/teachers
132/6 = 22
Solution: B

Ismael is trying to figure out which rock-climbing gym has the best rates. The different rates for two different gyms are below.

Answers

Answer:

Boulders:

1 - 10

2 - 20

3 - 30

4 - 40

5 - 50

Manhattan Rocks:

1 - 15

2 - 20

3 - 25

4 - 30

5 - 35

B. 10 hours, Ismael should go to Manhattan Rocks because 35 times 2 is 70 and 50 times 2 is 100. Manhattan Rocks would only be 70 compared to 100.

C. is for you to decide

Step-by-step explanation:

Please help and explain!!!

Traveling with the wind, Jerry takes 10 minutes to bike to the local library. Traveling against the wind, it takes him 15 minutes. The library is 2.5 km away. What is Jerry's bicycling speed in still air?

Answers

Answer:

[tex]0.2\ km\ per\ minute[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that,\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ in\ his\ direction=10\ minutes\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ against\ his\ direction=15\ minutes\\Considering\ only\ the\ direction\ of\ the\ forces\ are\ opposite\ and\ the\\ magnitudes\ equal,\\Let\ the\ time\ Jerry\ take\ travelling\ through\ a\ still\ wind\ be\ x\\Let\ the\ Force\ of\ wind\ be\ F.\\Hence,\\x+F=10\\x+(-F)=15\\By\ simply\ adding\ the\ equations,\\2x=10+15\\2x=25\\x=\frac{25}{2}\\[/tex]

[tex]x=12.5\\Hence,\\Time\ taken\ by\ Jerry\ during\ a\ still\ wind=12.5\ seconds.\\We\ also\ observe\ that\ 12.5\ is\ the\ mean\ of\ 10\ and\ 15\ and\ lies\ between\\ the\ two\ extremes.\\Hence,\\As\ we\ now\ know\ that,\\Distance\ from\ the\ library=2.5\ km\\Time\ taken\ by\ Jerry\ during\ the\ still\ wind=12.5\ minutes\\Hence,\ we\ know\ that\\Speed=\frac{Distance}{Time}\\Here,\\Speed=\frac{2.5}{12.5}\\Speed=\frac{1}{5}\ or\ 0.2\ km\ per\ minute[/tex]

Find the measurement of angle b

Answers

Answer:

133

Step-by-step explanation:

Answer:A + angle B + angle C = 180 degrees, we can find the measure of .

Step-by-step explanation:

I need help i'm not that good at this stuff.

Answers

Answer: 40

Reason: Okay, so we can see that the line is travelling in a straight line. When we look closely at the graph, we can see that for every two minutes, it makes 80 bottles, and so on and so fourth. We know it makes 80 bottles in two minutes, so let's divide it by two to find out how many bottles it makes in one minute. (Equation for this = 2x = 80) After dividing, we find out that the machine makes 40 bottles per minute

Check: 40 bottles, and multiply it by 2, and we get 80 bottles per two minutes, and that's correct.

I hope this helps, and Happy Holidays!

I’ll mark as BRANLIEST!!

50 POINTS!!

Plz help me it’s a final and if I don’t do this question or get it wrong I will not go to college god loves you.

Answers

Answer:

15. {1, 3, 5, 7}

16. nothing empty set { }

17. {0, 1, 2, 4, 5, 6, 7, 8, 10}

Step-by-step explanation:

the U means combining the sets that fit the criteria

the upside down U means what fits both criteria

for 16, it asks for contradicting criteria so there is nothing in the set.

please give thanks by hitting the like :)

and brainliest :)

Please help me I’m stuck!!

Answers

Answer:

Step-by-step explanation:

RMJ = MPT = 90                     Perpendicular lines create right angles (90o)

PM = RJ                                   Given

TM = MJ                                   Definition of a midpoint

PT = MR                                   Two equal legs of a right triangle makes the third   side of each equal by a^2 + b^2 = c^2

ΔPTM = ΔJMR                               Side Side Side

There are other ways of doing this. This is one way.

after working for 25 hours the mermaid $375 after working 40 hours of the mermaid $600 predict how much he would make after 10 hours

Answers

Answer:

after 10 hours she made 150$

Step-by-step explanation:

:)

Answer:

The total amount made after working 10 hours would be $150

The variables a and b represent the legs of a right triangle. The variable c represents the hypotenuse. Use the Pythagorean theorem to find the missing side. Write exact answers using radicals when necessary. A = 3, c = 5, find b.

Answers

Given:

a and b are two legs of a right triangle and c is hypotenuse.

a=3 and c=5

To find:

The value of b.

Solution:

According to the Pythagoras theorem,

[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2[/tex]

Using Pythagoras theorem, we get

[tex]c^2=(a)^2+(b)^2[/tex]

Now, putting a=3 and c=5, we get

[tex]5^2=(3)^2+b^2[/tex]

[tex]25=9+b^2[/tex]

[tex]25-9=b^2[/tex]

[tex]16=b^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{16}=b[/tex]

[tex]\pm 4=b[/tex]

The measure of side of a triangle cannot be negative. So, only value of b is 4.

Therefore, the value of b is 4.

Every 3 days Ronnie spends 1.5 hours on homework and 2.25 hours on chores. At this rate how many total hours will he spend on homework and chores in 9 days

Answers

Answer: 11.25 hours

Step-by-step explanation:

From the question, we are informed that every 3 days Ronnie spends 1.5 hours on homework and 2.25 hours on chores.

At this rate number of hours that he will spend on homework and chores in 9 days will be:

= 9/3 [1.5 hours on homework + 2.25 hours on chores]

= 3 [1.5 hours on homework + 2.25 hours on chores]

= 4.5 hours on homework and 6.75 hours on chores]

Total hours = 4.5 + 6.75 = 11.25 hours

Answer:

11.25

Step-by-step explanation:

BRAINIST & 30 POINTS

Answers

Answer:

DF= 33

Step-by-step explanation:

The ratio is equal to 6:5:1 Which can be changed into 18:15:3

Since DE=18 and EF=15 you simply add and = 33

Answer:

df=33

Step-by-step explanation:

the temperature t at which water boils is inversely proportional to the number of feet F the water is above sea level. write the related variation equation

Answers

Answer:

Water temperature in an ocean varies inversely to the water’s depth. Between the depths of 250 feet and 500 feet, the formula

T

=

14

,

000

d

gives us the temperature in degrees Fahrenheit at a depth in feet below Earth’s surface. Consider the Atlantic Ocean, which covers 22% of Earth’s surface. At a certain location, at the depth of 500 feet, the temperature may be 28°F.

The related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]

For inverse variation, if a is inversely proportional to b. This is expressed as:

[tex]a \alpha \frac{1}{b}[/tex]

Introducing the constant of variation will give;

[tex]a=\frac{k}{b}[/tex]

Applying the concept to the question:

If the temperature t at which water boils is inversely proportional to the number of feet F, this is expressed as:

[tex]t \alpha \frac{1}{F}[/tex]

[tex]t=\frac{k}{F}[/tex]

Hence the related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]

Learn more here: https://brainly.com/question/2798700

free paints and brianliest
Marry christmas guys

Answers

Answer:

Yo

Merry Christmas and have a great day onwards

and thank you ❤

Answer:

thanks a lot friend!!!

Step-by-step explanation:

.......

PLEASE HELP!!!! MATCH THE ANSWERS!! WILL GIVE BRAIN PLEASE!!!!

Answers

Answer:

Range - a  is y<k

Range + a is y>k

Doman always all real numbers

Step-by-step explanation:

Answer:

domain- always all real numbers

and im not too certain about the last 2 but im pretty sure that

range-a is less than or equal to whereas range+a is more than or equal to.

2+2
4+6
12+100
120x670

Step by step

Answers

Step-by-step explanation:

2+2=4

4+6=10

12+100=112

120×670=80,400

what one is going slower​

Answers

Car A is going slower
Car A because the slope is slower you can tell by how fast B is going up

The sum of two numbers is 8. When four times the smaller
number is added to two times the larger number, the result
is 18. What is the larger number?
7
6
5
4​

Answers

Answer:

x+x=8

that's mean: 2.x/4 + 4.x/1 = 18/1

we find at least a common multiple of 4 and multiply the units by 4

2x + 16x = 72

18x = 72/:18

x = 4

Answer: 7

suppose: the smaller number is a

the larger number is b

because The sum of two numbers is 8 => a + b = 8 (1)

four times the smaller  number is added to two times the larger number, the result  is 18 => 4a + 2b = 18 (2)

(1)(2) => a + b = 8

              4a + 2b = 18

<=> a = 1

     b = 7

=> the larger number is 7

Step-by-step explanation:

2(x-3)+3=6x-5 please show the steps

Answers

Answer:

1/2

Step-by-step explanation:

2(x - 3) + 3 = 6x - 52x - 6 + 3 = 6x - 52x - 3 = 6x - 56x - 2x = -3 + 54x = 2x = 2/4x = 1/2

The following is a list of heights for 6 six-year-olds.

50 inches, 47 inches, 36 inches, 42 inches, 47 inches, 45 inches

The median height for these children is 46 inches.

What would happen to the median height if the 50-inch measurement was changed to 47 inches?

A. The median would increase.
B. The median would decrease.
C. The median would stay the same.
D. The median would decrease, then increase.

Answers

Answer:

option b the median would decrease

What is the solution for -10 < x - 9?

Answers

Answer:

-1 < x

Step-by-step explanation:

-10 < x - 9

+9. +9

-1 < x

please explain how to solve​

Answers

you are correct stuck with that

What is the change in temperature from 15° to -9°?

-6°

-24°
24°

Answers

Answer:

-24

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

Say you are considering two loans. Loan F has a nominal interest rate of 5.66%, compounded monthly. Loan G has a rate of 6.02%, compounded semiannually. Which loan will give the lower effective interest rate, and how much lower will it be?
A) Loan G's effective rate will be 0.091 percentage points lower than Loan F's
B) Loan G's effective rate will be 0.058 percentage points lower than Loan F's
C) Loan F's effective rate will be 0.302 percentage points lower than Loan G's
D) Loan F's effective rate will be 0.149 percentage points lower than Loan G's

Answers

Answer:

C) Loan F's effective rate will be 0.302 percentage points lower than Loan G's

Step-by-step explanation:

Formula for effective rate is;

r_eff = [1 + (r/n)]^(n) - 1

Where;

r is interest rate

n is the number of compounding periods per year

Loan F has a nominal interest rate of 5.66%, compounded monthly

Thus: r_eff = [1 + (0.0566/12)]^(12) - 1 = 0.0581

Loan G has a rate of 6.02%, compounded semiannually.

Thus;

r_eff = [1 + (0.0602/2)]^(2) - 1 = 0.0611

Differece = 0.0611 - 0.0581 = 0.003

Converting to percentage gives : 0.003 × 100 = 0.3%

Thus,correct answer is option C

Answer:

C. Loan F’s effective rate will be 0.302 percentage points lower than Loan G’s.

Step-by-step explanation:

Find the number that belongs in the green box.

Round your answer to the nearest tenth.​

Answers

Answer:

40.6 degrees

Step-by-step explanation:

SOHCAHTOA

here, the tan of the missing angle = opposite / adjacent

tan(x) = 6/7

using graphing calculator obtain x = 40.61, round to 40.6 for nearest tenth

please give a heart and crown :)

Which ratio would form a proportion with 24/54

Answers

Answer:

4:9 or 4/9

Step-by-step explanation:

4/9 is the simplified version of 24/54.

Answer:

4:9 or 4/9

Step-by-step explanation:

because when we cut of the number in simpler form so this answer comes.

You’re throwing a party and you need 5 liters of juice for ever 12 guests. if there are 60 guests, how many liters of juice will you need?? help!

Answers

Answer:

25 liters

Step-by-step explanation:

60/12=5

5*5=25

Answer:

25 liters of juice

Step-by-step explanation:

5 liters of juice=12 guests Multiply both sides by 5

25 liters of juice=60 guests

help me or ill fail algebra one I HAVE 4 MODULES AND IM ON 3.5 I GOTTA FINISH BY JANURARY 22 PLS HELP
SOLVE THESE RATIONALS EQUATIONS

Answers

Answer:

4 times 3 equals 12 minus 1 is 11/12  the one you chose is right i hope you dont fail algebra cuz of me

Step-by-step explanation:

NEED ASAPPPP

The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?

Answers

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

For every `8` boys wearing neon blue, there are `2` girls wearing neon blue. If there are `32` boys wearing neon blue, how many girls are wearing neon blue?

Answers

Answer:

8:2

32:8

Step-by-step explanation:

It's pretty simple:

If there's 32 boys, which is 4 times the amount you start with, you have to apply that to the number of girls as well since for every 8 boys, there is 2 girls.

8x4

2x4

32:8 Hope this helps

Answer:

8 girls are wearing neon blue.

Step-by-step explanation:

There are several ways to do this but one of them is to find how many groups of 8 boys are in 32. To do this we divide 32 by 8 which equals 4. We then multiply 2 by 4 which is 8.

What is the solution to this subtraction sentence? -5/6 – (-1/2)

Answers

Answer:

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

hope it helps

Answer:

-0.33333333333

fraction= -1/3

any more help just ask :)

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