at one high school, the mean time for running the 100-yard dash is 15.2 seconds with a standard deviation of 0.9 seconds. the times are very closely approximated by a normal curve. find the percent of times that are at least 14.3 seconds

Answers

Answer 1

Answer:

The percent of times that are at least 14.3 seconds is approximately 16%.

Step-by-step explanation:

Let X denote the time for running the 100-yard dash.

It is provided that the times are very closely approximated by a normal curve.

So, the random variable X follows a normal distribution with a mean time of 15.2 seconds and with a standard deviation of 0.9 seconds.

Compute the probability of times that are at least 14.3 seconds as follows:

[tex]P(X\geq 14.3)=P(\frac{X-\mu}{\sigma}\geq \frac{14.3-15.2}{0.9})[/tex]

                    [tex]=P(Z\geq -1)\\\\=1-P(Z<-1)\\\\=P(Z<-1)\\\\=0.15866\\\\\approx 0.159[/tex]

*Use a z-table.

Thus, the percent of times that are at least 14.3 seconds is approximately 16%.


Related Questions

draw a graph for 4,16 ; 6,36 ; 8,64 ; 10,100 points​

Answers

Answer:

tyyyyy for free points have a great day

Which inquality is graft below?

Answers

Answer:

Option C - 2x + y > 2

Step-by-step explanation:

We don’t have to do some serious math here. We can already eliminate half of the options just looking at it, because the graph has a dotted line, which means it does not include those values.

So, choses A and B are eliminated because the inequality shows the ≥ and ≤ symbol, which means that it does include those values. It’s either C or D because they have the > and < symbol, which means that the inequality does not include those values.

To have a better look at the inequalities, write them in slope-intercept form, which is y=mx+b:

Option C: y > -2x + 2

Option D: y < -2x +2

Just looking at the inequlaity symbol, we can tell that Option C is the correct one because it shows that all the y-values are greater than -2x + 2. Which is true because it’s shaded above the line. When it’s shaded above the line, it means that the y-values are greater.

To make sure my answer was correct, I graphed Option C. The image below shows Option C (2x + y > 2) graphed.

Hope this helps! :)

Pls I need answer quick, pls

Answers

Answer:

its a hope this helps

Step-by-step explanation:

Slope, m = 3, y-intercept, b = 5

Answers

Answer:

I can't help if I don't have enough to answer sorry

Step-by-step explanation:

What are the missing angles?

Answers

1. 51
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59

I hope this helps!!

This is Amy's box of candies.
She has already eaten 6 of them.

What fraction of the candies has Amy eaten?

Answers

Answer:

[tex] \frac{6}{9} [/tex]

or

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

There are nine in total and she has eaten 6, so the fraction would be 6/9.

If you need to simplify it it would be 2/3.

A pet store sells dog treats and the prices are represented
in the graph
X = number of treats
y = cost (in dollars)
Select the true statement.
Select one
Each treat costs $0.50
Each treat costs $3
Each treat costs $2
Each treat costs 51

Answers

Answer: 1$

Step-by-step explanation:

there are 8 dinner rolls in a package. how many packages will be needed to feed 88 people if each person has 2 dinner rolls

Answers

Answer:

22

Step-by-step explanation:

8 times 10= 80 +8=88. now thats 11 packages. 11 times 2=22

are any of these equivalent to 3/8 ?
2/7
8/3
9/24
5/18

Answers

Answer:

9/24 is

Step-by-step explanation:

Yup

-BaconSoup the scientist LOL

Answer:

9/24

Step-by-step explanation:

[tex]\frac{2}{7}= 0.28571428571\\\\\frac{3}{8}= 0.375\\\\\frac{2}{7}\neq \frac{3}{8}\\\\ \frac{8}{3}= 2.666...\\\\\frac{8}{3} \neq \frac{3}{8}\\\\\frac{9}{24}=\frac{9/3}{24/3} =\boxed{\frac{3}{8}}\\\\ \boxed{\frac{9}{24}=\frac{3}{8}}\\\\\frac{5}{18}= 0.27777...\\\\\frac{5}{18} \neq \frac{3}{8}[/tex]

Hope this helps.

The ratio of employees who own a red car to employees who own a black car is
1:5. If there are 6 employees who own a red car, how many employees own a
black car? *

Answers

Answer:

There would be 30 black cars.

Since the ratio is 1:5

And we know that there are 6 red cars,

we basically just input it in our ratio

so it would look like 6:x

Now, we just have to plug in for x.

To do that, you have to multiply 6 by 5

To match the ratio.

So that would give us 6:30

And if we divide by 5 we should get our original ratio.

I know this seems confusing haha, but I hope you get it, it's not as hard as it looks !!

Question:
Find the limit
x2 – 3x – 28/x-7
lim 7

Answers

See attachment for math work and answer.

What is 4(2 + a) = 24
a=

Answers

a=4 biigchvuivbibiinon

Answer:

2/5

Step-by-step explanation:

Rearrange terms:

4(2 + a) = 24a

4(a + 2) = 24a

Distrbute:

4(a + 2) = 24a

4a + 8 = 24a

Subtract 8 from both sides of the equation:

4a + 8 = 24a

4a + 8-8 = 24a-8

Simplify:

4a = 24a - 8

Subtract 24a from both sides of the equation:

4a = 24a - 8

4a - 24a = 24a - 8 - 24a

Combine like terms:

-20a = -8

Divide both sides of the equation by the same term:

-20a = -8

-20a/-20 = -8/-20

Simplify:

Cancel terms that are in both the numerator and denominator

Divide the numbers

a = 2/5

I hope that helps! :D

By 27leejaey

HEY YOU! can you help me ?❤️

Answers

The answer is C.

If you take away one zero from both the denominator and the numerator, you are left with the fraction 6/10

Which point is a solution to this system of inequalities?
y 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D) (4,1)

Answers

Answer:

h

Step-by-step explanation:

Answer:

the answer is  c

Step-by-step explanation:

12 hungry friends see 8 cupcakes sitting b.
on the table. If they split the cupcakes
equally, how many does friend each get?
12 other friends are told they can eat 0.8 cupcakes each. How many total cupcakes do these 12 friends eat?

I already got the answer for the first question, but i only want to know how to do the next question, I do NOT want the answer. Thanks!

Answers

1: 1/2 cupcakes
2: I’m in middle school so uhm-

Answer: a. 1 1/2   b. 9.6

Step-by-step explanation:

How to find the radius of a cylinder with only knowing it's height and diagonal thing here

Answers

The radius times pie equals the circumference. keep that in mind

I really need help please help me

Answers

Answer:

top right

Step-by-step explanation:

If you imagine yourself building with that model you can see its that one

3. Which is equivalent to the expression below?
4.5m + 8 - 2.3m - 3.5
A.6.7m
B. 6.8m + 4.5
C 2.2m + 11.5
D. 2.2m + 4.5

Answers

Answer:

D. 2.2m + 4.5

Step-by-step explanation:

Solve the system, enter ur answer as an ordered triple.

Answers

Answer:

x = 1, y = -1, z = 3

Step-by-step explanation:

x - 2y + 2z = 9

y + 2z = 5

z = 3

According to the last equation, z is equal to 3 so we can plug that in and our new 2 equations will be:

x - 2y + 6 = 9

y + 6 = 5

We can subtract 6 from both sides of the second equation to end up with:

y = -1

Now plugging this into the first equation, we have:

x + 2 + 6 = 9

x + 8 = 9

Subtract 8 from both sides

x = 1

You hear that tuition is going to increase by 3% next year. If tuition
this
year is $7,200 this year, what will the tuition be next year?

Answers

Answer: $7416

Step-by-step explanation:

You look up 3% of $7200 ($216) and add that to the original price to get $7416 :)

Find the coordinates of the midpoint of a segment with endpoints A(-3,7) and B(8,-2)

Answers

Answer:

the midpoint is (2.5, 2.5)

HELLLLLPPPPPPPP MY SISTER HAS LATE HOMEWORKKKKK she need help with number 4. the empty space is the part where She need to show how She got her answer so if someone could help that would mean the world to me and her

Answers

Answer:

13

Step-by-step explanation:

13x4=52 that would be in the check section or whatever but she did really good

Answer:

Your sister did the equation perfectly. That's exactly how I would work it, and the answer is 13.

A store orders 22 boxes of light bulbs. Each box has 148 bulbs.
Which is the best estimate of the total number of bulbs the store orders?


plzzz answer.

Answers

Answer:

estimate, 3000. exact answer 3256

Step-by-step explanation:

hope this helps

3, -9, 27, -81.......

Neither
Arithmetic
Geometric ​

Answers

Answer:

Geometric

Step-by-step explanation:

sorry if I am wrong just let me know please

I think it’s Geometric

at the zoo,the ratio of monkeys to gorillas is 5:1​

Answers

Answer:

thats a statement

Step-by-step explanation:

The stock of Company A gained $1.86 throughout the day and ended at a value of $94.86. By what percentage did the stock rise

Answers

Answer:

tTe answer is 1.96%

Step-by-step explanation:

given data

change in price/gain= $1.86

the closing price = $94.86

Required.

The percent rise.

Step two:

The formula for the percent rise is

=change/close price*100

substitute our given data

= 1.86/94.86*100

=0.0196*100

=1.96%



What is |-8|?
-16
-8
08
16

Answers

Answer:

it's 8

Step-by-step explanation:

lol girl I did this in the first day of school in 6th and I got the same answer , -8 is a negative, your supposed to put it back to a non negative when something is negative change it back to positive it's 8!

Are x and 1/x like terms?

Answers

Answer:

no

Step-by-step explanation:

we'll say x=5

5 does not equal 1/5

no, but x also means 1 and 1/x is different

solve each system by graphing.​

Answers

This is how I believe it would look like


The pottery store can make 176 coffee mugs in an 8 hour day. How many mugs can they make in one hour
Watch your units!

Answers

Answer:

22 per hour

Step-by-step explanation:

8 divided by 176 lol Hope I did it right tho ;-;

Answer:

they can make 22 in one hour.

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