When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard deviation of 3 seconds. What is the probability that in a given race, his finishing time will be faster than 75 seconds, to the nearest thousandth?

Answers

Answer 1

Answer:

0.749

Step-by-step explanation:

We start by calculating the z-score

Mathematically:

z-score = (x-mean)/SD

z-score = (75-77)/3 = -2/3 = -0.67

The probability we want to calculate is;

P( X > -0.67)

we can use the standard normal distribution table for this

Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth


Related Questions

1. Billy's mother started a college fund on Billy's 8th birthday. She
deposited $8,200 into a savings account that yields an interest rate of
0.21% compounded annually. How much money will the savings account
be worth when Billy turns 18 years old?

Answers

when billy turns 18 he will have $3,099.6 in his account because .021 percent x $8,200= $172.20 per year x 18 years = $3,099.60

Two gallons of juice is poured into 8 containers so that each container holds the same amount of juice.

This visual model represents the situation, with each letter representing one of the containers.

Two equally sized rectangles. Each rectangle is divided into 8 equal parts. Longer lines separate every 2 parts. The first 2 parts of the first rectangle are each labeled A. The second 2 parts of the first rectangle are each labeled B. The third 2 parts of the first rectangle are each labeled C. The fourth 2 parts of the first rectangle are each labeled D. The first 2 parts of the second rectangle are each labeled E. The second 2 parts of the second rectangle are each labeled F. The third 2 parts of the second rectangle are each labeled G. The fourth 2 parts of the second rectangle are each labeled H.

How much juice does each container hold?

18 gal

14 gal

12 gal

1 gal

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:hpe this helps

7 – Зу = 20
y = 5х – 4
QUICK! how do i do this i need the x and y this is the Systems of equations with substitution

Answers

Answer:

x=1/15 y = -4 1/3

Step-by-step explanation:

First combine like terms.

-3y = 13

y= -13/3

y= -4 1/3

Substitute for y in next equation

-4 1/3 = 5x - 4

5x = 4 1/3 - 4

5x = 4 1/3 - 4

5x = 1/3

x = 1/3 divided by 5

Since fractions can't be divided, multiply by the inverse

x = 1/3 times 1/5 = 1/15

Gray started the week with $150 in his checking account. The chart shows the credits and charges to his account during the week.
Credit Charge
$20 $52
$23 $16
$14 $28
How much money did Gray have in his account at the end of the week?
O $3
O $111
$189
$303

Answers

Answer:

111

Step-by-step explanation:

150 + 20 = 170

170 - 52 = 118

118 + 23 = 141

141 - 16 =  125

125 + 14 = 139

139 - 28 = 111

simplify this expression: 5 + 2b - 2

Answers

Answer: 2b+3

Combine like terms which are 5 and -2

Answer:

3 + 2b

Step-by-step explanation:

To simplify, you have to combine (add) like terms. The like terms are 5 and -2 because they both do not have a variable.

5 + (-2) = 3

2b stays the same because there are no like terms for it.

3 + 2b

Hope this helped :)

Please help asap! Due tonight!

Answers

Answer:

C. 4,4,[tex]\sqrt{32}[/tex]

Step-by-step explanation:

a^2 + b^2 = c^2

4,4,[tex]\sqrt{32}[/tex]

4^2 + 4^2 = [tex]\sqrt{32}[/tex]^2

16 + 16 = 32

32 = 32

Answer:

darnnnnn the person beat me to it. it is c. 4,4,√32

Step-by-step explanation:

someone do this plz ill pay u when im rich

Answers

Answer:

11307.19 rounded and exact is 11307.1875

Step-by-step explanation:

Answer:

Use a calculator but your answer is 11307.1875

Step-by-step explanation:

0.242296875 is what you get when the brackets are solved now multiply and divide.

848.039062 is what you get when multiplied and 11307.1875 is what you get when you divide.

Which has a measure that is equal to the sum of the measures of the interior angles of a triangle?
a straight line
a circle
a right angle
an obtuse angle

I NEED HELP ASAP

Answers

The answer is a straight line

Answer:

straight line

Step-by-step explanation:

i did it

hi can somebody answer this rlly quickly

Answers

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

is (7, 3), (8, 6), (9, 9), (10, 12) a function

Answers

Yes because it is because it is because it is

Find the slope of a line with the given points

Answers

Answer:

C) 0

Step-by-step explanation:

Hi there!

We are given these two points: (11, -10), and (-16, -10)

We want to find the slope of these two points
The formula for the slope (m) calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have 2 points, but let's label their values to avoid any confusion.

[tex]x_1=11\\y_1=-10\\x_2=-16\\y_2=-10[/tex]
Now substitute these points into the formula (remember: the formula has SUBTRACTION)

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-10--10}{-16-11}[/tex]

simplify

m=[tex]\frac{-10+10}{-16-11}[/tex]

m=[tex]\frac{0}{-27}[/tex]

divide

m=0

The answer is 0, which is option C.

Hope this helps!

See more on finding the slope of a line from 2 points here: https://brainly.com/question/17974899

Help me solve these please​

Answers

Free points thank you :)

monique gave half of her necklace to her younger sisters. then she bought 4 new ones. if she now has 18, now many did she have originally

Answers

Answer:

She originally had 7 necklaces.

Step-by-step explanation:

She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.

Answer:

i think 28 possibly

Step-by-step explanation:

because she bought 4 new ones so 18-4 =14x2 =28?

i don't know if im right but hopefully this helped

Use the diagram to complete each statement. Twelve lines are drawn to form a cube as shown. Plane AFH is parallel to plane ?

Answers

Answer:

BGC

Step-by-step explanation:

im pretty aure aorry if u get it wrong man

Which shows equivalent expressions?

Answers

The right answer is D

The first four terms of a sequence are shown below:

9,5, 1, -3

Which of the following functions best defines this sequence?


Answers

Answer:

-4

Step-by-step explanation:


Helllpppppppppppppppp please

Answers

Answer:

Step-by-step explanation:

Like terms have the same variables and powers.

1). 6b and [tex]\frac{b}{2}[/tex] = [tex]\frac{1}{2}b[/tex]

   5x² and x²

2). 12a² and 4a²

    4x³ and 3.5x³

    b and [tex]\frac{5}{6} b[/tex]

3). 8x

4). 5a² + 16

5). There are no like terms there.

6). 6b + 5n + 6b + 5n = 12b + 10n

one step equations, solve:
-6=y+2

Answers

Well I don’t know if you want to know how to solve it but y = -8
y=-8 are u in middle school or something

What is the remainder when 3x2−7x+5 is divided by x+5?

Answers

Answer: 2

Step-by-step explanation:

pleaseee helppp



unit test due in 30 minss!!!

Answers

Answer:

Fraction: 81/100

Decimal: 0.81

Percent: 81%

Step-by-step explanation:

two fair dice are rolled. the score is the difference between the two dice. some of the possible scores are shown in the table.
c) which score has a probability of occurring 1/18

Answers

Answer:

Step-by-step explanation:

a). From the table attached,

   Number in 1st column and 1st row = 1 - 1 = 0

   Number in 1st column and 6th row = 6 - 1 = 5

   Number in 2nd column and 4th row = 4 - 2 = 2

   Number in 5th column and 2nd row = 5 - 2 = 3

   Number in 6th column and 5th row = 6 - 5 = 1

b). Probability of scoring 1 = [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]

   Preferred outcomes of getting = 10

   Total outcomes = 36

   Probability of scoring 1 = [tex]\frac{10}{36}[/tex]

                                          = [tex]\frac{5}{18}[/tex]

c). Probability of occurring a score = [tex]\frac{1}{18}[/tex]

                                                         = [tex]\frac{1\times 2}{18\times 2}[/tex]

                                                         = [tex]\frac{2}{36}[/tex]

                                                         = [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]

   Since, 5 is a number which has occurred twice

   Score that has a probability of occurring of [tex]\frac{1}{18}[/tex] is 5.

Kiran has 10 1/2 feet of lumber and wants to make a bookshelfKiran needs two side panels that are each 5 2/3 feet. How much more lumber does Kiran need in order to make the side panels?

Answers

Total height of lumber, H = 10 1/2 feet = 21/2 feet .

Height of side panel, h = 5 2/3 feet = 17/3 feet .

Now,

Extra lumber required, L = 2 × Height of side panel - Total height of lumber

[tex]L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet[/tex]

Therefore, extra lumber required is [tex]\dfrac{5}{6}[/tex] feet.

Hence, this is the required solution.

If an item has an original price of $80 and has been discounted 20%, what is the sale price?

Answers

Answer:

$64

Step-by-step explanation:

Since 20% is 0.20 and a whole is 1.00, to discount the price, we have to subtract the whole value by the discount value 1.00-0.20=0.80

Then we have to find 80% of 80

80%=0.80

0.80*80=64

The sale price is $64

$24 lunch and 15% tip

Answers

Answer:

Total: 24.00

Tip: 3.60

Total: 27.60

Answer:

Step-by-step explanation:

27.60

Hey, can someone help me with my math homework?

Answers

aqueell ears hanan pus

I need help with this ​

Answers

Answer:

-6

Step-by-step explanation:

greater than -8

absolute value is even

absolute value is between 5 & 11

Smash or pass? lets make this a trend :)
#3
idea from dear amj1103

Answers

Answer:

no

Step-by-step explanation:

I'm a man so..............

I don't want to get reported.. I-

Help ASAPPP PLEASEEE AND THANK YOUUY

Answers

Do a checkered pattern then each rows would have two

And each column should have one

Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4).

Answers

Answer:

3

Step-by-step explanation:

24+12 = 36

8+4 = 12

36 = _ x 12

_ is 3 since 3x12 = 36

Answer:

Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4).

Step-by-step exMing drew the model below to represent the equation 24 + 12 = blank x (8 + 4).planation:

Parallel, Perpendicular or neither
Y=-2/5x+3 Y=2/5x+8

Answers

Answer:

Perpendicular  

Step-by-step explanation:

The slopes are the same except one is negative therefore they are perpendicular

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