Mathematics High School



A set of biology exam scores are normally distributed with a mean of 70 points and a standard deviation of 6

points. Let X represent the score on a randomly selected exam from this set.

MY

Co

Find P(X>61).

You may round your answer to two decimal places.

Answers

Answer 1

Answer:

To two decimal places, we have 0.93

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD

here, x = 61

mean = 70 and SD = 6

So, we have ;

z-score = (61-70)/6

z-score = -9/6 = -1.5

So we want to calculate the probability of z > -1.5

We use the standard normal distribution table for this

The answer here according to the table is 0.93319

To 2 decimal places, this is 0.93

Answer 2

Answer:

.69

Step-by-step explanation:

Normalcdf (lower: 0, upper: 73, mean: 70, S.D.: 6) = .691462 --> .69

Related Questions

A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet): if the bank charges 3.8% interest each year?

Answers

Answer:

I got but idk if that is right $7897.5.

Step-by-step explanation:

The balance of the loan after one year with 3.8% interest will be $7,792.50.

How to calculate the balance?

If the student has not made any payments, the balance of the loan after one year with 3.8% interest can be calculated using the following formula:

Balance after one year = Principal amount x (1 + (Annual interest rate/100))

Where the Principal amount is $7,500, the Annual interest rate is 3.8%, and the time period is one year.

Plugging these values into the formula, we get:

Balance after one year = $7,500 x (1 + (3.8/100))

= $7,500 x 1.038

= $7,792.50

Therefore, the balance of the loan after one year with 3.8% interest will be $7,792.50.

To know more about loans follow

https://brainly.com/question/29940535

#SPJ7

Egal loggers got away with 4 acres of trees at a reserve in central Mexico. That number represents a 97 percent decline from two years prior. How many acres of trees did the illegal loggers get away with two years prior? Round the answer to the nearest acre.

Answers

Answer: with 133.33 acres of trees

Step-by-step explanation:

4 acres of trees, is a 97% decrease of the previous amount.

This means that if the previous amount was X, then 4 acres is 3% (or 0.03 in decimal form) of X, or:

4 acres = 0.03*X

Now we can solve this for X as:

X = 4acres/0.03 = 133.33 acres

The illegal loggers got away with 133.33 acres of trees

what is 88n+20n
A:108n
B:108n²
c:108+n
D:108+n²

Answers

Answer:

108n

Step-by-step explanation:

88n+20n

=108n

The answer to your question is A: 108n

EEEK HELP

Earl runs 75 meters in 30 seconds. How many meters does Earl run per second?
Take my points T^T

Answers

Answer:

2.5 meters per second

Step-by-step explanation:

75/30= 2.5/1= 2.5 meters in 1 second

Answer:

2.5

Step-by-step explanation:

just divide the distance by time

Write a real-world problem that can be solved using the equation 9+4x=21−2x.

Answers

1. you have to subtract 9 from both sides. 21-9= 12

2. you have to add 2x to both sides. 4x+2x= 6x

3. 6x divided by both sides =

4.x=2

find the number that belongs in the green box.

round your answer to the nearest tenth. ​

Answers

Step-by-step explanation:

By Sine Rule, 13/sin96° = x/sin25°.

Hence, x = 13sin25°/sin96° = 5.5.

Plz help I’ll give brainlest

Answers

Answer:

about 13 inches sorry if im wrong ive spent so long tryna figure this out

Step-by-step explanation:

Answer:

13 inches

Step-by-step explanation:

multiply 2 and 6.5 *i got 2 because the 2 hours and the 4 inches

In which story is the answer to the question 0?

1:
Neil felt sick, so his grandma took his temperature. She said his temperature
was 2°F above the normal human body temperature. At dinner time, his
temperature was 2°F higher than it was that morning. What is the difference
between Neil's temperature now and the normal human body temperature?

2:
Neil felt sick this morning, so his grandma took his temperature. She said his
temperature was 2°F above the normal human body temperature. At dinner
time, his temperature was 2°F lower than it was that morning. What is the
difference between Neil's temperature now and the normal human body
temperature?

Answers

Answer:

2

Step-by-step explanation:

It was +2 in the morning. -2 would make it 0.

the second story is the answer

is √64 a rational or irrational?

Answers

Answer:

√64 is rational.

because 8² is 64 and √64 is 8

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

,,,,,,,,hi bestie help pls

Answers

Answer:

domain:-4,-4,0,2,3

hope that helps you:)

I only know the domain is -4,-4,0,2,3
I hope you can find the range

y
10
9
8
7
9
5
4
1
-10-9
-8
7
5
1
3
5 6
7
8
6
2
&
4
-5
-6
-7
-8
Is it a one point question?

Answers

Answer:

78

Step-by-step explanation:

maybe.

When f(x)=4, what is the value of x?
O0
O2
O3
O4

Answers

Answer:

2

Step-by-step explanation:

Answer:

It is 04

Step-by-step explanation:

Macy's was also having a sale. All kitchen items were 50% off. Ms. M bought a Keurig that originally cost $129.00. How much did she pay for the keurig with the discount?

Answers

the answer is $64.50 hope it helps

HElP ME OUT PLEASE !

Answers

Answer:

Step-by-step explanation:

1.Based on the equation the y-intercept is -2(go down 2 places on the y axis)

2.Since here is only x in the equation the rise over run will be 1/-1 (go up 1 and to the left 1 from the point -2 on the y axis) keep doing that all the way down the graph marking your points, also reverse the process going down 1 and to the right 1 to mark the points on the opposite side.

3.Draw the line through the points you marked from step 2

4.In the equation it is x-2 so it is a positive slope and a negative y-intercept

m=1

b= -2

-2y - 3y + 8 = 8 -5y - 12

solve this equation fast please

Answers

I don’t think there’s a solution
Ok hi so I’m going to help you solve on this equation, if I solved this correctly can you please mark me as brainiest? I’d really appreciate it. Anyway let’s get started!

What we need to do is cancel both like terms on both sides of this equation which is
8=8 and you remove them.

Then you are left with -2y-3y=-5y-12

What you need to do is add -2y-3y because they are like terms

Now you have -5y

Then you put -5y=-5y-12

So you have to now cancel equal terms on both sides of this equation which were “-5y=-5y”, then you turn them into a 0

Now you are left with 0=-12

Therefore the statement is false for any value of y.

Does anyone wanna help ya girl out?? I’ll give brainliest for best answer (it’ll go who answers first, and how helpful the answer is)... you’ll also get 20 points teehee :)

Answers

Answer: 1, 2, and 4

Step-by-step explanation:

Marie has 60 photos. 2/5 of the photos are of her children. How many of the photos are of her children?

Answers

Answer:

24

Step-by-step explanation:

60 divided by 5 is 12 so 1/5 would be 12 and 12+12=24 so Marie has 24 pictures of her children

Answer:

24

Step-by-step explanation:

if you divide 60 by 5 its 12 if you multiply 12 time 2 equals 24 so there u go

what is the percent of decrease from 3.2 to 1.2 plz help

Answers

Answer:

62.5%

Step-by-step explanation:

(1.2 - 3.2) / 3.2 =

- 2 / 3.2 =

- 0.625 =

- 62.5

The minus (-) reflects the decrease.

Answer:

62.5%

Step-by-step explanation:

if 3.2  - 100%

  1.2 - x

x= (1.2*100)/3.2

x = 37.5%

Decrease = 100-37.5 = 62.5%

7th grade math help lol

Answers

Step-by-step explanation:

F and C, I think those are the only ones

Find the equation of the line, in slope-intercept form, that passes through the points (2, 9) and (3, 7). Show all work.
(20 POINTS)

Answers

Slope: (y2-y1)/(x2-x1)
(7-9)/(3-2) = -2/1 = -2
Y = mx + b
Plug everything in
Y = -2x + b
9 = -2(2) + b
9 = -4 + b, b = 13
Equation: y = -2x + 13

What information can be used to compare linear relationships? Explain why.

Answers

Answer:the slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).

Step-by-step explanation:

Answer:

Sample Response: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.

Step-by-step explanation:

please answer this please​

Answers

Answer:

4)d)9/10

5)a)20

6)b)3/10

7)b)3/7

Step-by-step explanation:

Two years ago Juanita bought 2 shirts for $15 and last year she bought 4 shirts for $45. Assuming the prices will increase linearly, how much will 8 shirts cost Juanita this year?

Answers

Answer:

This year, Juanita will have to use $75.

Step-by-step explanation:

Because if 2 shirts is $15, 4 shirts will be $30. $45 is $15 more than $30, so the increase is $15. 2*4 is 8, so that will make it 15*4=60. 60+15=75.

Your task is to create a tondo (a circular art piece) that demonstrates your understanding of the different circle properties.

Topic: Circle Geometry

For more info see attachment.

Answers

Answer:

I am very very very sorry if this is incorrect, this did not make much sense to me! :(

Step-by-step explanation:

help needed!!! OVER DUE ASSIGNMENT! click picture!!

Answers

Answer:

Step-by-step explanation:

x= 6/2=3 ; y = 59° ( it opposes the side that is 10/2=5)

2) x= 6/2 =3

answer this please !!!!!!

Answers

Answer:

C) 140

Step-by-step explanation:

We can see from the diagram that mMEF + mDEM = mDEF because they share the same lines.

Therefore:

69x + 2 + 34 = 2 + 86x

Now we can solve this equation.

First we can eliminate the +2 from each side as they will cancel:

69x + 34 = 86X

And then rearrange to solve for x:

34 + 69x - 69x = 86x - 69x

34 = 17x

34/17 = 17x/17

x = 2

Now that we have the value for x, we can substitute it into the original equation:

mMEF = 69(2) +2

mMEF = 138 + 2

mMEF = 140

Therefore the correct answer is C) 140.

Hope this helped!

Need help with this ASAP
30 points !!

Answers

Answer:

im sorry I wish I could help are there any other questions you have?

Step-by-step explanation:

solve the equation or inequality.
5t - 3 (7t + 1) < 93​

Answers

Step-by-step explanation:

5t-3(7t+1) < 93

Remove the parentheses

5t-21t-3 < 93

-16t < 93+3

-16t < 96

Divide both sides by 16

-t<96/16

-t<6

t > -6

Answer: The inequality t < 6 is the correct answer.

Step-by-step explanation:

5t - 3 (7t + 1) < 93​ <--- This is the original equation.

5t + (7t + 1) - 3 < 93​ <---- Use commutative property.

16t - 3 < 93 <--- Simplify

16t - 3 + 3  < 93​ + 3 <---- Add 3 to both sides,

16t < 96 <--- Simplify and do addition.

[tex]\frac{16t}{16}[/tex] < [tex]\frac{96}{16}[/tex] <--- Divide both sides by 16.

t < 6 <--- is the answer to the inequality.

Hope this helps! :D

7. The lifetime of a certain brand of tires is approximately normally distributed, with a

mean of 40,000 miles and a standard deviation of 2,500 miles under normal driving conditions.

Tire wear is greatly affected by road, weather and driver conditions along with proper

maintenance of the tires. A driver who aggressively accelerates or makes quick stops, for

example, will wear out a tire much more quickly. The brand carries a warranty of 33,000 miles

under normal driving conditions, i.e., the company will replace a tire if it wears out before this

mileage limit is reached.

Answers

Answer:

0.0025551

Step-by-step explanation:

Given that:

Mean (m) = 40000

Standard deviation (s) = 2500

P(x < 33,000) :

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (33000 - 40000) / 2500 = - 2.8

p(Z < -2.8) = 0.0025551 ( Z probability calculator)

Probability of Tyre wagering out before mileage limit is reached = 0.0025551

when to probabilities are mutually exclusive, they do not have any outcomes in common?
True or False

Answers

Answer:

it's true

A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B) = 0

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