The piping connection to the vacuum pump should be

Answer:

24.5%

Step-by-step explanation:

Simple Interest = (principal×rate×time)÷100. *Brackets First*

Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).

Plug in values: rate = (100×37975) ÷ (31000×5).

The result is 24.5%.

least common denominator is the lowest common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.

Answer:

12

Step-by-step explanation:

Because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers

:)

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Since [tex]M = 75, T = 2.898, n = 18[/tex]

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]

[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]

[tex]s = 109.7992[/tex]

The sample standard deviation is of 109.7992 calories.

Answer:

29 1/31 minutes

Answer:

(-3, -5) This is my answer I hope it helps

Answer:

When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.

Step-by-step explanation:

Answer:

20 times 25 which is 500.

Step-by-step explanation:

To get the area of a rectangle do length times width, just like a square!

Answer:

3.7 ounces

Step-by-step explanation:

You just need to round to nearest 10th place, which is just next number after decimal. Hope it helps ;)

Answer:

sorry the image is not clear

Answer:

Length: 4 feet

Width: 2 feet

Step-by-step explanation:

The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1

However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.

The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8

It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12

So, the length is 4 feet and the width is 2 feet

Answer: Line J  

A is the answer

Answer: .012

Step-by-step explanation: 6*2 is 12, and you can simply use the number of decimal points on the smaller term to get .012

Answer:

should be .12

Step-by-step explanation:

.06 multiplied by 2 is .12

Answer:

201

Step-by-step explanation:

40+43+51+67=201

Answer:

its 40

Step-by-step explanation:

Answer:

400 grams

Step-by-step explanation:

12ounce= 340.19 grams approximately

So,its best to buy the package that weighs 400 grams

Answer:

3,600

Step-by-step explanation:

Answer:

Answer is D: 3

Step-by-step explanation:

Answer:

height = 184.7 feet

Step-by-step explanation:

sin 38 = height/300

0.6157 = height/300

height = 184.7 feet

Answer:

i think its b

Step-by-step explanation:

i might be wrong but i think its

[tex]4 \sqrt{3 } [/tex]

Answer: $20$20​ is $25\%$25%​ of $80$80​.

Step-by-step explanation:

25

Answer:

5 Probability

5.1 Probabilities

Probabilities are used to describe how likely or unlikely it is that something will happen.

Weather forecasters often talk about how likely it is to rain, or perhaps snow, in particular

parts of the country.

Worked Example 1

(a) When you roll a dice, which number are you most likely to get?

(b) If you rolled a dice 600 times how my sixes would you expect to get?

(c) Would you expect to get the same number of ones?

Solution

(a) You are equally likely to get any of the six numbers.

(b) You would expect to get a six in about 1

6

of the throws, so 100 sixes.

(c) Yes, in fact you would expect to get about 100 of each number.

Worked Example 2

Use one of the following to describe each one of the statements (a) to (d).

Certain

Very likely

Likely

Unlikely

Very unlikely

Impossible

(a) It will snow tomorrow.

(b) It will rain tomorrow.

(c) You win a car in a competition tomorrow.

(d) You are late for school tomorrow.

Solution

(a) Very unlikely for most places in Britain, especially in summer.

(b) Likely or Very likely in Britain in winter.

(c) Very unlikely if you have entered the competition. Impossible if you have not

entered the competition.

(d) Very unlikely, unless the school bus breaks down.

Answer:

[tex]H = 53.30[/tex]

Step-by-step explanation:

Given

[tex]Side\ 1 = 7x + 41[/tex]

[tex]Side\ 2 = 5x[/tex]

Required

Determine side x

The hypotenuse (H) is calculated using:

[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]

[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]

Substitute 9 for x:

[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]

[tex]H^2 = 10816 + 2025[/tex]

[tex]H^2 = 12841[/tex]

So:

[tex]H = \sqrt {2841[/tex]

[tex]H = 53.30[/tex]

Answer: A. That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).

Step-by-step explanation:

The combination is usually given by the formula below:

C n,x = n! / x! (n-x)!

We should note that the requirements for a combination rule include:

• That r of the n items are selected​ (without replacement).

• That there be n different items available.

• That order is not taken into account​ (consider rearrangements of the same items to be the​ same).

Therefore, the option that is not a requirement of the Combinations​ Rule, ​, for the items that are all​ different will then be option A"That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).

Answer:

since its 10%percent annualy(compound interest),at the end of 1year it would be 1000+(1/10 *1000)that is 1100,then for the second year it would be 1100+(1/10 * 1100)that is 1210.please mark me as brainliest

a) The cumulative distribution function F of X is: F(x) = P(X ≤ x) = 1

b) The mean E(X) is: E(X) = 0.5 hours.

c) The variance Var(X) is: the variance of X is approximately 0.0833 hours².

To find the cumulative distribution function (CDF) of X, we need to consider two cases: when the boy comes back inside before 45 minutes and when the boy is brought inside by his mother after 45 minutes.

(a) Cumulative Distribution Function (CDF) F of X:

For 0 ≤ x < 0.75 (when the boy comes back inside before 45 minutes):

Since the boy comes back inside uniformly distributed on the interval [0, 1], the CDF is simply the probability that the boy comes back inside before time x.

The probability of the boy coming back inside before x is equal to x, as it is a uniform distribution.

F(x) = P(X ≤ x) = x

For 0.75 ≤ x ≤ 1 (when the mother brings the boy inside after 45 minutes):

If the boy is not back inside at 45 minutes (0.75 hours), his mother brings him inside.

Therefore, the probability of the boy coming back inside before x in this case is 1.

F(x) = P(X ≤ x) = 1

(b) Mean (Expected Value) E(X):

The expected value of X, denoted by E(X), is the average time the boy spends outside before coming back inside.

For a uniform distribution on the interval [0, 1], the expected value is the midpoint of the interval.

Therefore, E(X) = (1 + 0) / 2 = 0.5 hours.

(c) Variance Var(X):

The variance of X, denoted by Var(X), measures the spread or variability of the random variable X around its mean.

For a uniform distribution on the interval [0, 1], the variance is given by:

Var(X) = (1² - 0²) / 12 = 1 / 12 ≈ 0.0833 hours²

So, the variance of X is approximately 0.0833 hours².

To learn more on probability click:

brainly.com/question/11234923

#SPJ4

Answer:

18 units square

Step-by-step explanation:

Given

The attached trapezium

Required

Determine the area

From the attachment, the height, h is:

[tex]h = 3\ units[/tex]

And parallel sides are:

[tex]s_1 = 3[/tex]

[tex]s_2 = 9[/tex]

So, the area is calculated as:

[tex]Area = \frac{1}{2}(s_1 + s_2) * h[/tex]

[tex]Area = \frac{1}{2}(3 + 9) * 3[/tex]

[tex]Area = \frac{1}{2} * 12 * 3[/tex]

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

[tex]Area = 18[/tex]