1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lorasvet [3.4K]
2 years ago
15

I need help on B and C. Not sure how I can solve those. Can someone please help me out here? Thank you for your help!

Mathematics
1 answer:
Valentin [98]2 years ago
5 0

Nice job with part A on getting those correct answers.

====================================================

Part B

  • mu = mean = 43
  • sigma = standard deviation = 3

Let's calculate the z score for the raw score x = 37

z = (x - mu)/sigma

z = (37 - 43)/3

z = -6/3

z = -2

A negative z score tells us we're below the mean. Specifically, we are exactly 2 standard deviations under the mean.

If you repeat those steps for x = 46 (not changing mu or sigma), then you should get z = 1. So we're now 1 standard deviation above the mean.

Ultimately, we want to know the area under the standard normal curve (aka z curve) from z = -2 to z = 1.

Refer to the chart below which is a breakdown of the Empirical Rule. The pink areas are within 1 standard deviation of the mean. We have two regions taking up roughly 34% of the full area under the curve, so they combine to 34+34 = 68%

Then we add on another 13.5% which is the blue area on the left (between z = -2 and z = -1)

So 13.5+68 = 81.5% of the area under the curve is between z = -2 and z = 1.

<h3>Answer: 81.5</h3>

Note: the percent sign is already taken care of for us, so there's no need to type it in. But the answer above of course means 81.5% and that answer is approximate.

====================================================

Part C

Let's find the z score for x = 34. The values of mu and sigma are the same as before.

z = (x - mu)/sigma

z = (34-43)/3

z = -9/3

z = -3

So computing P(X > 34) is the same as P(Z > -3)

Notice how adding up all of the values in the chart mentioned gets us:

2.35+13.5+34+34+13.5+2.35 = 99.7

which means 99.7% of the distribution is within 3 standard deviations of the mean. The remaining 100% - 99.7% = 0.3% is the combined area of both tails. So each tail is (0.3%)/2 = 0.15%

In short, 0.15% of the area under the curve is to the left of z = -3

Therefore, 100% - 0.15% = 99.85% of the widgets are going to have z values larger than -3, which in turn means they have values larger than 34.

<h3>Answer: 99.85</h3>

Again you don't have to worry about the percent sign. Like before, the answer is approximate.

You might be interested in
Which term in the quotient of this expression contains an error?
Savatey [412]

Answer:

The + 78 :-  it should be + 60.

Step-by-step explanation:

Long division:-

x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.

         4x^4 - 12x^3

                      6x^3 + 0x^2

                       6x^2 - 18x^2

                                   18x^2 + 6x

                                    18x^2 - 54x

                                                 60x + 3

                                                  60x - 180

                                                              183

7 0
3 years ago
In Δ ABC, which is the included side between ∠A and ∠C?
murzikaleks [220]
The answer is B AC
because it's the 2 that connect the line between A and C
5 0
3 years ago
How many 3-digit numbers are there, for witch all digits have the same parity?
Paladinen [302]

Answer:

27

Step-by-step explanation:

7 0
2 years ago
Create an exponential to describe $100 at 2% interest compounded annually for x years
zysi [14]

Answer:

A=100(1.02)^{x}                  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=x\ years\\ P=\$100\\ r=2\%=2/100=0.02\\n=1  

substitute in the formula above

A=100(1+\frac{0.02}{1})^{1*x}  

A=100(1.02)^{x}  

8 0
3 years ago
Which graph represents the equation y = - 4/3x-2
il63 [147K]

Answer:

The answer is D

To find out the answer, first substitute 0 to x and find out the value of y. If the answer is same then it is correct. Do the same by converting 1 and 2 into x to find out the flow of line.

Thank you and please rate me as brainliest as it will help me to level up

6 0
2 years ago
Other questions:
  • Express each ratio as a fraction in lowest terms.
    11·1 answer
  • There are 4 people at a party. If each person must shake hands with every
    14·1 answer
  • Factor 30y 2 z + 12yz 2 - 18yz. 6yz(5y + 2z - 3) 6y2z(5y + 2z - 3) 6y2z2(5y + 2z - 3)
    7·2 answers
  • Angles A and B are supplementary. Angle A has a measure of 80 degrees. What is the measure of angle B?
    5·2 answers
  • The area of a square is 49 square inches. Find the number of inches in the length of a diagonal. Express your answer in simplest
    12·1 answer
  • Sarah made pizzas for her party. She put meat on 1/2 of the pizzas. Only 1/4 of the meat pizzas has sausage on them. How many of
    15·2 answers
  • Find the slope and reduce. P=(2, 3) Q=(9, 7) Slope =​
    14·1 answer
  • 8) Solve: X + 250 = 700
    12·1 answer
  • 1.) What is the domain and range of the function in the graph?
    10·1 answer
  • Determine the equation of the circle graphed below. <br><br> ( please help me )
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!