The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance of 11,282,880. What is the probability that the sample mean would differ from the population mean by less than 778 miles in a sample of 143 tires if the manager is correct

Answers

Answer 1

Answer:

[tex]P(x < -778) = 0[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 48673[/tex]

[tex]\sigma^2 = 11282880[/tex]

[tex]n = 143[/tex]

Required

[tex]P(x <- 778)[/tex]

First, we calculate the z score

[tex]z = \frac{x}{\sqrt{\sigma^2}/n}[/tex]

So, we have:

[tex]z = \frac{-778}{\sqrt{11282880}/143}[/tex]

[tex]z = \frac{-778}{3359.0/143}[/tex]

[tex]z = \frac{-778}{23.49}[/tex]

[tex]z = -33.12[/tex]

So:

[tex]P(x < -778) = P(z < -33.12)[/tex]

From z score probability, we have:

[tex]P(x < -778) = 0[/tex]


Related Questions

One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes together.

Which equation could be used to find the number of lattes, x, sold at café

Answers

Answer:

x=6

Step-by-step explanation:

if y=8, evaluate the following expression: 40-5y​

Answers

0
Explanation:
y = 8

40 - 5 x 8
40 - 40
= 0

Have a nice day

find the volume of pyrmaid

Answers

Answer:

37

Step-by-step explanation:

In the given figure the angles are vertically opposite angles so ;

4x + 2 = 150

or, 4x = 148

or, x = 37 ans .

Your job in a company is to fill quart sized bottles of oil from a full 50-gallon oil drum

Answers

Step-by-step explanation:

....

I Dont Known........

Answer:

16 full cases

Step-by-step explanation:

4 quarts to a gallon

50 gallons is 200 quarts (50 x 4)

200 quarts / 12 quarts per case = 16.66667 (.66667 isn't a full case)

so, it's 16

Amanda, Bryan, and Carl are about to compete in 100
mixed IM swimming events. These are the only three
swimmers competing in this event. They are all working
hard to win first place.
How many different possible ways could the 3 swimmers
place?
2

Answers

9514 1404 393

Answer:

  6

Step-by-step explanation:

Any of the three can be in first place.

Any of the remaining two can be in 2nd place.

The remaining swimmer will be in 3rd place.

There are 3 × 2 × 1 = 6 possible orderings of the swimmers.

There are four white socks and six black socks in a drawer what is the probability of selecting a white sock not replacing it and then selecting another white sock

Answers

Answer:

Step-by-step explanation:

Add all the socks in the drawer to get a denominator

12

blue socks can be picked out of the

36

total socks, so

12

36

Then you take away one sock from the top and bottom, so you now have

11

35

Multiply the two numerators (

12

and

11

), then multiply the denominators (

36

and

35

), then divide the numerator by the denominator,

132

1260

, to get your answer.

Answer:

6/10

Step-by-step explanation:

1st step: 4+6=10

solve for x round to the newest 10th i’d necessary

Answers

Answer:

x = 43.7°

Step-by-step explanation:

Reference angle (θ) = x°

Opposite side length = 43

Adjacent side length = 45

Apply the trigonometric function, TOA, which is:

Tan θ = Opp/Adj

Substitute

[tex] Tan(x) = \frac{43}{45} [/tex]

[tex] x = Tan^{-1}(\frac{43}{45}) [/tex]

x = 43.7° (nearesth tenth)

using the digits 0-9 at most one time each fill in the boxes so that the fraction equals the decimal

Answers

Step-by-step explanation:

Z 00m

336"083"2553

(wZE2XQ) are

Average rate of the train

Answers

Answer:

Step-by-step explanation:

First of all, I'm having a bit of trouble seeing what the exponent on the leading term in the distance is, but I think its an x-squared so that's what I used to solve this. Keep in mind that you do NOT get a number answer here; you get another expression in terms of x for an "answer".

Let's simplify down the rate first by multiplying. What I did was put the denominator under each of the terms in the numerator and then simplified by dividing each term:

[tex]r=\frac{2x^2}{2x}-\frac{5x}{2x}-\frac{3}{2x}[/tex] which simplifies to

[tex]r=x-2.5-\frac{3}{2x}[/tex] Now let's get rid of that denominator there by multiplying everything by 2x to get

[tex]r=2x^2-5x-3[/tex] and we're ready to solve for time.

If d = rt, then

[tex]t=\frac{d}{r}[/tex] so filling in:

[tex]t=\frac{6x^2+3x}{2x^2-5x-3}[/tex] and we can divide this using the method of long division. It would be impossible to show you how to do that here in this forum, but when you divide, you get

[tex]t=3+\frac{18x+9}{2x^2-5x-3}[/tex] ...as crazy as that seems.

Which inequality is graphed on the coordinate plane?

Answers

Answer:

A: y < -2x - 1

Step-by-step explanation:

First, to figure out which part of the graph to be looking at, you will look at the shaded region as the solution area.

So, the solution area is to the left of the line. Said line is a dotted line which means that the points on the line can not be a solution.

If the points on the line can not be a solution then it eliminates answer choices C and D because y can not equal the other side of the inequality.

Now, we will bring the shaded region back into focus to find out if y is greater than or less than the other side. The shaded area is "below" the line so it is less than -2x - 1.

To ensure this is correct, plug two points into the inequality we just chose, one from the shaded region and one not, just to make sure the answer is correct.

I picked (-3,4) to test. So plug them into the inequality to get:

4 < -2 (-3) - 1

So 4 < 6 - 1 which is correct.

Then from the other side of the line I picked (5,2)

2 < -2 (5) - 1

2 < -10 - 1

2 < -11 is not true so the inequality that we found was correct.

Data are drawn from a bell-shaped distribution with a mean of 25 and a standard deviation of 4. There are 1,000 observations in the data set.
a. Approximately what percentage of the observations are less than 33?
b. Approximately how many observations are less than 33?

Answers

Answer:

a. 97.72% of the observations are less than 33

b. Approximately 977 observations are less than 33.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 and a standard deviation of 4.

This means that [tex]\mu = 25, \sigma = 4[/tex]

a. Approximately what percentage of the observations are less than 33?

The proportion is the p-value of Z when X = 33. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{33 - 25}{4}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772

0.9772*100% = 97.72%

97.72% of the observations are less than 33.

b. Approximately how many observations are less than 33?

Out of 1000:

0.9772*1000 = 977.2

Approximately 977 observations are less than 33.

Suppose b is any integer. If b mod 12 = 7, what is 4b mod 12? In other words, if division of b by 12 gives a remainder of 7, what is the remainder when 4b is divided by 12? Fill in the blanks to show that the same answer will be obtained no matter what integer is used for b at the start. Because b mod 12 = 7, there is an integer m such that b = 12m + . Multiply both sides of this equation by 4 and then simplify the right-hand side to find values of q and r such that 4b = 12q + r with 0 ≤ r < 12. The result is q = and r = . Now 0 ≤ r < 12, and q is an integer because ---Select--- . So the uniqueness part of the quotient remainder theorem guarantees that the remainder obtained when 4b is divided by 12 is . Need Help?

Answers

Answer:

4b mod 12 = 4

Step-by-step explanation:

Since b mod 12 = 7, it implies that there is an integer, m such that

b = 12m + 7.

We desire to find 4b mod 12

So, multiplying b by 4, we have

4b = 4(12m + 7)

4b = 4 × 12 m + 4 × 7

4b = 4 × 12 m + 28

4b = 4 × 12 m + 24 + 4

4b = 4 × 12 m + 12 × 2 + 4

Factorizing 12 out, we have

4b = 12(4m + 2) + 4

Since m is an integer 4m + 2 is an integer since the operation of adding and multiplication is closed for the set of integers.

comparing 4b = 12q + r with 4b = 12(4m + 2) + 4,

q = 4m + 2 and r = 4

So 4b mod 12 = 4, that is the remainder when 4b is divided by 12 is 4.

In this exercise we have to calculate the value of the unknown, so we have:

the value is 4

we know that the equation will be given as:

[tex]b = 12m + 7\\[/tex]

we need to multiply both sides by 4 to become another known equation, like this:

[tex]4b = 4(12m + 7)\\4b = 4 * 12 m + 4 * 7\\4b = 4 * 12 m + 28\\4b = 4 * 12 m + 24 + 4\\4b = 4 * 12 m + 12 * 2 + 4[/tex]

So factoring this equation we will find that:

[tex]4b = 12(4m + 2) + 4[/tex]

Thus, when making a comparison between the two equations, we have that:

[tex]4b = 12q + r \\4b = 12(4m + 2) + 4\\q = 4m + 2\\r = 4[/tex]

See more about factoring at brainly.com/question/6810544

Two towers A and B are 45m and 30m high. Tower A lies to the west and B to the east of a man 1.5m tall. From the mans eye level, the angle of elevation of the top of A and B are 66° and 28° respectively. Calculate correct to three signigicant fugures the distance between A and B.​

Answers

Answer:

73.0m

Step-by-step explanation:

see the attachment. Hope it helps.

please solve asap thanks ​

Answers

How do i solve it omg
16 + 16 = 32
10+ 16 = 26
15 x 4 = 60
25 + 15 = 40

158 cm is the answer


Given the set of vectors , decide which of the following statements is true:
A: Set is linearly independent and spans ℛ 3. Set is a basis for ℛ 3.
B: Set is linearly independent but does not span ℛ 3. Set is not a basis for ℛ 3.
C: Set spans ℛ 3 but is not linearly independent. Set is not a basis for ℛ 3.
D: Set is not linearly independent and does not span ℛ 3. Set is not a basis for ℛ 3.

(1,0,0),(0,1,2)

Answers

I think the answer is c sorry if I get it wrong

What is the difference between 5d and d ⁵ ?

Answers

5d is multiplying d by 5, (5•d),while d^5 is multiplying d by itself 5 times (d•d•d•d•d)

If you’re asking to subtract then it’d be written as 5d - d^5

calculate the value of A in the statement​

Answers

please edit your question man

Which table represents an exponential function?

Answers

Answer:

2nd one is the answer if it's the question

A rectangular garage is 12 yards long and 8 yards wide. It costs $1.00 per square yard to put in a new concrete floor. How much would it cost to put a new concrete floor in the garage?

Answers

Answer:  96 dollars

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

Explanation:

Compute the area to get 12*8 = 96 square yards

We can think of it like having 96 squares and each square costs $1. So naturally the total cost is 96*1 = 96 dollars.

HELP!!!!! hurry pls ​

Answers

Answer:

100

Step-by-step explanation:

since its collinear it has to be 180 -80 which equals 100.

Solve for x round to the nearest tenth if necessary

Answers

Answer:

x = 2.8

Step-by-step explanation:

sin = opp/hyp

hyp = opp/sin

x = 2.4/sin60

x = 2.771281292110204

rounded

x = 2.8

Hi if you have a 65% grade can a 80% bring it up to a C 70%

Answers

Yes it should bring it up to a C or maybe it will be a 70 or 75

Answer:

Not a 70%, but a 72.5% (or a 73%)

Step-by-step explanation:

Assuming that the 65% is the first grade and the 80% is your second, adding both numbers and dividing by 2 will get you 72.5%.

The best possible grade you can get from that 65% is an 82.5%, or 83% if you round the grade up. 100+65=165÷2 will get you 82.5.

2. If p(x) = 7x-9 and g(x) = x2 +8, what is r(x) = (p * 2)(x)?​

Answers

Answer:

r(x) = 14x - 18

Step-by-step explanation:

(p×2)(x) = 2×p(x) = 2×(7x - 9) = 14x - 18

Question 1 of 10
Simplify this algebraic expression completely.
5y-3(y + 2)

Answers

Answer:

2y -6

Step-by-step explanation:

5y-3(y + 2)

Distribute

5y -3y - 6

Combine like terms

2y -6

What is the axis of symmetry for the function f(x)=7−4x+x2?

x = –3
x = –2
x = 2
x = 3

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]y = {x}^{2} - 4x + 7 \\ y = (x - 2) {}^{2} - 4 + 7 \\ y = {(x - 2)}^{2} + 3[/tex]

Therefore, axis of symmetry is x = 2

The solution is: x=2, is the axis of symmetry for the function f(x)=7−4x+x2.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

f(x)=7−4x+x^2

Rewriting as

f(x)  = x^2 -4x+7

a =1  b -4  c=7

The axis of symmetry is:

h = -b/2a

 = -(-4)/ 2(1)

 = 4/2(1)

 = 4/2  

 =a

The axis of symmetry is x=2.

Hence, The solution is: x=2, is the axis of symmetry for the function f(x)=7−4x+x2.

To learn more on function click:

brainly.com/question/21145944

#SPJ7

Finding the Area of a Circle Given the Radius Th It The area in terms of pi isi mi? The approximated value for the area is A circle has a radius of 3 miles. Use the work shown below to identify the area in terms of pi and the approximate area of the circle. Use 3.14 for a and round the answer to the nearest tenth. A = 2 A= T(3 mi) A = 3.14(9 mi) ​

Answers

Answer:

I'd use A = πr^2

The area is 28.3 if we're using 3.14 as pi (rounded to the nearest tenth)

I need help I’ll give u brainlest

Answers

Answer:

[tex]V=280[/tex] cubic inches

Step-by-step explanation:

Volume formula for triangular prism is  [tex]V=\frac{1}{2} bhl[/tex]

[tex]V=\frac{1}{2} (7)(10)(8)[/tex]

[tex]V=\frac{1}{2}(560)[/tex]

[tex]V=280[/tex]

Hope this helps

Ahmad made $114 for 12 hours of work. At the same rate, how many hours would he have to work to make $108?​

Answers

Answer:6

Step-by-step explanation:


Answer: 6

Step-by-step explanation

Plz help will mark brainliest

Ben and Tom together collected $400 for the Good Friday Appeal. Ben collected seven times as much money as Tom. How much did they each collect?

Answers

Answer:

$400 Altogether.

The main half of 4 is 2 , so I think they all collected 400 Dollars

so if it was 200 for Ben and collected 7 time than what he actually did

so 200 × 7

= $1400

According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses:
H, :μ< 26.9
Ha : μ> 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

If the null is rejected, then we conclude that the average Consumption of beer and cider by customers who are 21 years and above is greater than 26.1

A type 1 error is committed if the null hypothesis is incorrectly rejected ; this means we will be concluding that customers who are 21 years and older have higher average Consumption when they actually do not. This may lead to a restriction on beer consumption in the city when there actually isn't a need for it.

For type 2 error, a false null is incorrectly accepted, in this scenario, we are saying that the consumption of beer and cider is not beyond the mean value when in actual sense it is.

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