Mumuni Bawumia, a farmer sells 500 litres of fresh milk a day with a standard deviation of 35 litres. Given that the daily sales of fresh milk is normally distributed, what is the probability that the sales in any single day is:
a. Greater than 506 litres

b. Between 498 litres and 506 litres.

Answers

Answer 1

Answer:

a:     0.43194

b:     0.09084

Step-by-step explanation:

First construct the z values for 498 and 506.

[tex]z=\frac{x-u}{s}[/tex]

[tex]z(498)=\frac{498-500}{35}[/tex]=-0.05714

z(506)=(506-500)/35=0.17143

Check the cumulative normal distribution tables to find

P(x<=-0.05714)=0.47722

P(x<=506)=0.52278

These probabilities imply that

P(x>506)=1-P(x<=506)=1-0.52278=0.43194

P(498<=x<=506)=P(x<=506)-P(x<=498)=0.09084


Related Questions

If Н+ В х 100 = 1560, find the value of H and B​

Answers

answer

is b bye i think

H + B x 100 = 1560

H + 100B = 1560

100B = 1560 - H

B = 1560 - H/100

H + B x 100 = 1560

H + 100B = 1560

H = 1560 - 100B

In Salsa stories, Ashir uses sawdust on the floor for his carpet making. For the painting of the one carpet he needs 20 sacks of sawdust. If each sack weighs 3 whole 1/2 pounds ,what is the weight of the sawdust he needs for each carpet?
1) 70 pounds
2) 68 pounds
3) 72 pounds

Answers

Answer:

i think its 70 pounds

Step-by-step explanation:

if not i am  sorry

please help a friend out with nP5 ÷ nC4 = 144​

Answers

You have to explain the answer

Write in the slope-intercept form an equation of the line that passes through the given points.

(6,8),(3,−9)
I need an answer ASAP
I will give the brainiest!

Answers

Answer:

y=17/3x-26

Step-by-step explanation:

So what you need to do is find the slope and y-intercept. Then, you write it in y=mx+b form. m=slope, b=y-intercept. So in this case, 17/3 is the slope, and -26 is the y-intercept. Hope this helps :)

log10^t > log10^2
2 2

Answers

Answer:

t>2

Step-by-step explanation:

Hope this helps.

the expression -5x^2 + 25x + 70 can be used to estimate the height,

Answers

Answer:

555suyaiata7ata7yayata

solve for x and justify your answer ​

Answers

Do u mind zooming out?
71+58+x=180
129+x=180
X=180-129
X=51 degrees

Barack Obama is 6° 1" tall, Michelle Obama is 5' 11" tall.
Who is taller with respect to their own gender? (Men have a
mean height of 70.4" with SD 3.0" and women have a mean
height of 65.1" with SD 2.6".) Is either one unusually tall?

Answers

Answer:

Michelle is taller for her gender

Step-by-step explanation:

f(x) = 3x - 3
g(x) = 3x3
Find f(x) + g(x)

Answers

Step-by-step explanation:

f(X)+g(X)

or, 3x-3+3x^3

or,3x^3+3x-3

Which value of m makes this equation true? m - 8 = -1
m = 9
m=7
m= -9
m = -7

Answers

Answer:

The answer is 7 because if we write 7 - 8 = -1, then we could see that the answer would be -1 since 7 is 1 value lower than 8, and 8 - 8 = 0, so if 7 is lower than 8 by 1, then you would go one value lower from 0, which is -1. You can also figure this out by looking at a number line and starting from 7 and then going backwards 8 times and whatever number you land on after going back 8 times is your answer.

solve the equation 8(x+7)=-24

I ready
Help ASAP!!!

Answers

Step-by-step explanation:8( x + 7) = - 24x + 7 = - 24 / 8x + 7 = - 3x = - 3 - 7x = - 10

If the mean of five values is 64,what is the sum of the values?

Answers

Answer:

320

Step-by-step explanation:

64x5=320

| 10n + 3 | + 16 = 3

Answers

Answer:

n = 1.6

Step-by-step explanation:

(10n + 3) + 16 = 3

10n + 3 = -13

10n = -16

n = 16/10

n = 1.6

How many ways can two students be chosen from a group of four?

4
6
14
10

Answers

Answer:

6

Step-by-step explanation:

1.Give an example of an irrational square root.

2.Which whole numbers does it fall between? Explain how you found the integers.

3.Which integer is the irrational square root closer to? Explain why.
90 POINTS!!

Answers

1) [tex]\sqrt{65}[/tex]

2) 8 and 9 because [tex]8=\sqrt{64}[/tex] and [tex]9=\sqrt{81}[/tex], and 65 is between 64 and 81

3) 8 because 65 is much closer to 64 than it is to 81

-17b + a - 23b +24a = -10

Answers

Answer:

a=6/25b+-2/5

Step-by-step explanation:

17b+a−23b+24a=−10

25a−6b+6b=−10+6b

25a=6b−10

25a/25=6b-10/25

a=6/25b+-2/5

Part B
Which operation should you perform first in the expression 12 × 4*2?

Answers

Answer:

Step-by-step explanation:

If you mean 12×4², the exponent is performed first.

12×4² = 12×16 = 192

If you mean 12×4×2, it is left to right, although in this case the order doesn't matter.

12×4×2 = 96

What type of variable cannot take a value of fraction between two consecutive sample
points?
a. discrete c. qualitative
b. continuous d. quantitative

Answers

Answer:

jhfmgcmvmhvkufmhvmhfmbv!hvmhvmbvku

Step-by-step explanation:

hkuufkugkufx,469('%hhohk

oyraaxcn!lpouytewqafbm

if x^2/3 = 4, what is x^2

Answers

Answer:

x=2√3

Step-by-step explanation:

Let's solve your equation step-by-step.

x2

3

=4

Step 1: Simplify both sides of the equation.

1

3

x2=4

Step 2: Divide both sides by 1/3.

1

3

x2

1

3

=

4

1

3

x2=12

Step 3: Take square root.

x=±√12

x=2√3 or x=−2√3

a remote control car races straight down the street at 26 miles per hour. Two hours later, a second remote control car races straight down the same street at 52 miles per hour in pursuit of the first car. From the moment the first care started, how many hours will it take thje second car to catch up to the first? What type of problem best exemplifies this question?

Answers

Answer:

4 hours

Step-by-step explanation:

Given

Speed of the first car = 26 mphSpeed of the second car = 52 mphTime difference  = 2 hoursThe first car makes 2*26 = 52 miles before the second car starts racing

Let the time the second car races before catching the first car be x

The equation:

26x + 52 = 52x52x - 26x = 5226x = 52x = 2

It takes 2 hours for the second car to catch the first car.

It takes 2 + 2 = 4 hours from the moment the first car started the race.

The University of Florida is interested in determining if there is a difference in the proportion of male students that work versus female students, so they send out a survey with a question that asks, "Do you currently, or have you, worked a job while taking classes at UF?" Out of 874 males (group 2) that responded, 396 said yes, and out of the 902 females (group 1) that responded, 489 said yes. (Males - Females) Find the point estimate of the difference in the population proportion of females that work at UF versus males.

Answers

Answer:

-0.089

Step-by-step explanation:

Given that:

Males - Group 2:

Total number of males, n = 874

Number that said yes, = 396

P1 = 396 / 874 = 0.453

Females - Group 1 :

Total number of Females, n = 902

Number that said yes, = 489

P2 = 489 / 902 = 0.542

Point estimate of the difference in sample proportion:

P1 - P2

0.453 - 0.542

= −0.089

• A ladder of length 5 m is placed against a vertical
wall with its foot 1.8 m away from the base of the
wall. How far up the wall does the ladder reach?​

Answers

Answer:

Your answer......4.66m

AC=√AB^2- BC^2

=√(5)^2-(1.8)^2

=4.66

WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER

Answer:

Step-by-step explanation:

length = 5 m

height = 1.8 m

The triangle that it formed is given in the figure,

Now first we have to find angle A,

sin(A) =perp/hyp = 1.3/5 = 0.26

now we get ,

Angle A = 15 degree

now using ,

tan(15) = perp/base = 1.3/distance

distance = 1.3/tan(15)

distance =1.3/0.27

distance = 4.8 m

Which line is the steepest:
A
B
C
D

Answers

A and C are the steepest

what does the absolute value of the y coordinate tell you?

Answers

Step-by-step explanation:

in x ,y =0

in y ,x =0

i think its thik ok dont mind if its wrong

Answer:

Step-by-step explanation:

x-axis

Hey Can somone please help meeee

Answers

Answer:

7/6 or 1.16 repeating

Step-by-step explanation:

7/8//3/4

7/8 x 4/3

7 x 4/ 8 x 3

7 / 2 x 3=

7/6 or 1.16 repeating

Help me and pls explain how you got the answer

Answers

Answer:

The length of the missing side is 8.5 ft

Step-by-step explanation:

To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.

[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]

Rounding to the first decimal place, we get c = 8.5ft

If g(x)=x+7 translated down 3 units

Answers

Answer:

g(x)=(x+7)-3

Step-by-step explanation:

I am not so sure of what you meant for your question but I put it into an equation. it goes left 7 and 3 down.

Can you help me solve this problem please

Answers

Answer:

x = 43

Step-by-step explanation:

It's not letting me post, so refer to my explanation in the screenshot below:

Can somebody please
Answer them in grouping and explain the strategy

40x - 16

16x - 24x - 4 +12

-8x -8

Answers

Answer:

Step-by-step explanation:

4ox-16=4[10x-4]this is because 4 is the common factor in both 40and 16

16x-24x-4±12=4[4x-6x-1±3]

-8x-8=8[-1-1]

plssssss help fast!!!!Launching From a Tower
Suppose a projectile is launched from a tower into the air with an initial velocity of 48 feet per
second. Its height, h, in feet, above the ground is modeled by the function
h = -16t2 + vot + 64
where t is the time, in second, since the projectile was launched and v, is the initial velocity.
A. What tower platform height was the projectile launched from?
B. How long was the projectile in the air?
C. When did it reach its maximum height?
D. What was its maximum height?
E. What domain makes sense for the function in this context?

Answers

Answer:

A. h = 64

B.  t = 4 -> 4 seconds

C. t = 1.5 -> 1.5 seconds

D. maximum height is 100 ft

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

Step-by-step explanation:

h = -16t2 + vt + 64

A. What tower platform height was the projectile launched from?

when the projectile was not launched, t = 0

h = -16(0)^2 + v(0) + 64 = 64

B. How long was the projectile in the air?

if the projectile lands, its height = 0 so substitute 0 for h

0 = -16(t)^2 + 48(t) + 64

  = -16(t^2 - 3t -  4)

 = -16(t - 4)(t + 1)

t = 4 or t = -1

Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.

C. When did it reach its maximum height?

maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16

t = -48/-32 = 1.5

D. What was its maximum height?

plug t = 1.5 into -16(t)^2 + 48(t) + 64

-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

The maximum height is 100 feet at a time of about 1.5 seconds.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that:

h = -16t² + vt + 64

-16t² + 48t + 64 = h

h is the height, v is the initial velocity and t is the time.

a) The tower height is about 64 feet from the equation

b) The time is at h = 0, hence:

-16t² + 48t + 64 = 0

t = 4 seconds

c) Maximum height is at h' = 0

h' = -32t + 48

-32t + 48 = 0

t = 1.5 seconds

d) h(1.5) = -16(1.5)² + 48(1.5) + 64 = 100 feet

Find out more on equation at: https://brainly.com/question/1214333

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