In a manufacturing process, a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of 0.3. What is the 90% confidence interval for the true mean length of the bolt

Answer:

x = 7

Step-by-step explanation:

Let

x = the unknown number

double it :

2x

add 11:

2x + 11

I get 25:

The equation is

2x + 11 = 25

2x = 25 - 12

2x = 14

Divide both sides by 2

x = 14/2

x = 7

Answer:

Correct option is

C

5/2

Total no. of numbers=15

No. of prime numbers between 1 to 15=6(2,3,5,7,11,13)

Probability = 15

6 = 52

The midpoint from the line segment CN with endpoints C(-1, -3) and N(7, 5) is (3, 3/2)

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. Midpoint refers to a point that is in the middle of the line joining two points. The two reference points are the endpoints of a line, and the midpoint is lying in between the two points. The midpoint divides the line joining these two points into two equal halves.

The formula of midpoint is given as

(x, y) = x₂ + x₁ / 2, y₂ + y₁ / 2

(x, y) = 7 + (-1) / 2, 5 + (-2) / 2

(x, y) = 6/2 , 3/2

(x, y) = 3, 3/2

The coordinate of the midpoint CN is (3, 3/2)

Learn more on midpoint of a line here;

https://brainly.com/question/12800782

#SPJ1

Answer: 15 Gray or white Marbels!

Step-by-step explanation:

Answer: 1/58824.5

Step-by-step explanation: 2x7^-6

2x1/117649

=1/58824.5

Answer:18

Step-by-step explanation:

Answer:

(5+3 = 8)

Step-by-step explanation:

The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio (5+3 = 8).

Answer:

4.5 pounds

Step-by-step explanation:

Answer:

4.5 pounds

Step-by-step explanation:

1 ounces = 0.0625 pounds

72 ounces × 0.0625 = 4.5 pounds

Answer:

GCF, Greatest Common Factor

Step-by-step explanation:

Hope this helped

The segment margin is obtained by deducting the traceable fixed costs of a segment from the segment's contribution margin is the correct answer.

In this question,

Segment margin is the amount of net profit or net loss generated by a portion of a business. Segment margin is the margin available after a segment has covered all of its costs. It’s one of the best ways to determine the long-term profitability of a segment.

i.e., Segment Margin = Segment’s Contribution Margin – Fixed Costs traced to the Segment

Contribution margin ratio is commonly expressed as a percentage of sales prices. Contribution margin is the amount remaining from sales revenue once all variable costs have been removed.

i.e., Contribution Margin = Sales Revenue – Variable Costs

Hence we can conclude that the segment margin is obtained by deducting the traceable fixed costs of a segment from the segment's contribution margin is the correct answer.

Learn more about segment and contribution margin here

https://brainly.com/question/26733492

#SPJ4

The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.

Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.

From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.

Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.

Learn more about probability here: https://brainly.com/question/24756209

#SPJ4

Answer:fixed cost=10

Independent variable=months paid

Dependent=hours on support

month=x,h=hour,10x+35h=total cost

97.50=10+35h

87.50=35h

h=2.5 hours

Step-by-step explanation:

showed work

In a simple regression model, the unexplained variation in the response variable is determined by summing the squares of errors. This method, known as residual sum of squares (RSS), quantifies the discrepancy between the observed values and the predicted values by the regression model.

In a simple regression model, the goal is to find a line that best fits the relationship between a single predictor variable (X) and a response variable (Y). However, due to various factors and sources of variability, the observed values of the response variable may not perfectly align with the predicted values based on the regression line.

The errors, or residuals, are the differences between the observed values and the predicted values. To quantify the unexplained variation, the errors are squared to eliminate negative values and emphasize larger deviations. These squared errors are then summed up, resulting in the residual sum of squares (RSS).

By calculating the RSS, one can assess the amount of unexplained variation or "error" in the regression model. A smaller RSS indicates that the model provides a better fit to the data, as it suggests less unexplained variation. On the other hand, a larger RSS implies a less accurate fit, with more unexplained variation in the model.

To learn more about regression click here : brainly.com/question/28178214

#SPJ11

The linear equation in slope-intercept form is:

y = (3/4)*x + 5

First, remember that for any line with a slope a and a known point (h, k), we can write it as:

y = a*(x - h) + k

In this case the slope is 3/4 and the point is (-8, -1), so the linear equation is:

y = (3/4)*(x + 8) - 1

Expanding the product we will get the slope-intercept from of the line, it gives:

y = (3/4)*(x + 8) - 1

y = (3/4)*x + (3/4)*8 - 1

y = (3/4)*x + 6 - 1

y = (3/4)*x + 5

That is the equation we wanted to find.

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

When a peddle dropping into Lake Then a circular ripple results. The rate at which the area of the ripple changing at this instant is 48π inches per second.

The rate-related word problem can be solved by creating an equation that relates her two parameters of the system. Using this equation, we can find its derivative and determine the rate of change of the parameter. Let us consider

'r' is the radius of the circle, r = 8 inches

The area of a circle with radius r is

A = πr² ---(1)

Rate of increase radius (dr /dt )

= 3 inches/sec .

Now we know that the area increases as the radius increases. The rate of increase in area can be expressed as the rate of increase in radius by differentiating the area equation with respect to time. Therefore, differentiating area with respect to time gives,

dA/dt = 2πr dr/dt

We can substitute these known values into the derivation of the area equation to get, dA/dt = 2π(8)3

=> dA/dt = 48π

Therefore, the ripple area increases at a rate of 48π inches per second.

To learn more about rate of change of area, refer:

https://brainly.com/question/28520282

#SPJ4

Answer: x = 4

Step-by-step explanation:

4x = 16

Divide both sides by 4

x = 4

Answer:

4

Step-by-step explanation:

Because 4x=16, then divided both sides by 4.4÷4=1 times x =x and 16 ÷4=4. so the value of x is 4.

The relationship between the points on the line and solutions to the linear equation is, the equation has a solution at each point along the line.

In the given question, we have to find the relationship between the points on the line and solutions to the linear equation.

The equation has a solution at each point along the line. This simply means that it is easy to tell whether an ordered pair is a solution to an equation. The ordered pair is a solution to the equation if it lies on the line drawn by the linear equation.

To learn more about linear equation link is here

brainly.com/question/11897796

#SPJ4

The point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.

The point estimate of P, is defined as the proportion of successes in the sample.

P' = X/N ; where X = number of successes; N = total trials.

Here, N = 1000

According to the Child outlook file, number of "yes" = 240.

Hence, P' = 240/1000

P' = 0.24

Therefore, the point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.

To learn more about point estimate, visit:

brainly.com/question/30057704

#SPJ4

the two triangles are congruent

Answer:

75 degrees

Step-by-step explanation:

angles 6 and angle 2 are congruent/corresponding, so they have the same angle measure

Hope this helped! Have a nice day, and feel free to follow me on insta (leo_g_rios)

-

Answer:

75

Step-by-step explanation:

they the same

Answer:

24032430000

Step-by-step explanation:

in 277 days there are 23932800000 in 11 hours there are 39600000 and in 30 seconds there are 30000 so 23932800000+39600000+30000=24032430000

Answer:

x=9, x greater then or equal to 55

Step-by-step explanation:

The Weibull distribution is a continuous probability distribution. It is often used in reliability engineering to model time-to-failure data.

A Weibull distribution is described by two parameters, the shape parameter (B) and the scale parameter (λ).The Weibull probability density function is given by

f(x) = (B / λ) * (x / λ)B-1 * exp(- (x / λ)B) where x > 0, B > 0, and λ > 0.(a) P(X < 10,000)

Given X has a Weibull distribution with B = 0.2 and λ = 100 hours

We have to find P(X < 10,000)P(X < 10,000) = F(10,000)

where F is the cumulative distribution function of X.

F(x) = 1 - exp(-(x/λ)B)

Substituting the values of B and λ, we get

F(x) = 1 - exp(-((x/100)^0.2))

Now, substituting x = 10,000 in F(x), we get

P(X < 10,000) = F(10,000) = 1 - exp(-((10,000/100)^0.2))= 1 - exp(-1)= 0.6321

Therefore, P(X < 10,000) = 0.6321

(b) P(X > 5000)

Given X has a Weibull distribution with B = 0.2 and λ = 100 hours

We have to find P(X > 5000)

P(X > 5000) = 1 - P(X ≤ 5000)

P(X ≤ 5000) = F(5000) where F is the cumulative distribution function of X.

F(x) = 1 - exp(-(x/λ)B)

Substituting the values of B and λ, we get

F(x) = 1 - exp(-((x/100)^0.2))

Now, substituting x = 5000 in F(x), we get

P(X ≤ 5000) = F(5000) = 1 - exp(-((5000/100)^0.2))= 0.3935

Therefore,P(X > 5000) = 1 - P(X ≤ 5000) = 1 - 0.3935= 0.6065

(c) E(X) and V(X)

Given X has a Weibull distribution with B = 0.2 and λ = 100 hours

The expected value of X, E(X) is given by

E(X) = λ * Γ(1 + 1/B) where Γ is the gamma function.

Substituting the values of λ and B, we get

E(X) = 100 * Γ(1 + 1/0.2)

Using the value of Γ(6) = 120, we get

E(X) = 100 * 120 = 12,000 hours

The variance of X, V(X) is given by

V(X) = λ^2 * (Γ(1 + 2/B) - (Γ(1 + 1/B))^2) where Γ is the gamma function.

Substituting the values of λ and B, we get

V(X) = 100^2 * (Γ(1 + 2/0.2) - (Γ(1 + 1/0.2))^2)

Using the value of Γ(1.4) = 0.886, we get

V(X) = 10000 * (6.854 - (1.768)^2)= 55,865.6

Therefore,E(X) = 12,000 hours and V(X) = 55,865.6.

The probability that X is less than 10,000 is 0.6321. The probability that X is greater than 5000 is 0.6065. The expected value of X is 12,000 hours, and the variance of X is 55,865.6.

To know more about variance visit:

brainly.com/question/29627956

#SPJ11

Answer:

It should.

Step-by-step explanation:

If a nearby city is losing people then the large city should try to help.  

Answer:

never heard of them

and the answer is choice B.

Step-by-step explanation:

alternate exterior angles have the same measure

Answer:

Molecules in both the metal and the surrounding air will start moving at lower speeds?

Step-by-step explanation:

I'm not sure this is the right answer, because i thought that the air and the metal would be in equilibrium.

So sorry if this is wrong, chemistry isn't my strongest subject.

Answer:

The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.

Step-by-step explanation:

Answer:

∠ BAS = 122° , ∠ N = 89°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(2)

∠ BAS is an exterior angle of the triangle, then

19x + 8 = 6x + 11 + 75

19x + 8 = 6x + 86 ( subtract 6x from both sides )

13x + 8 = 86 ( subtract 8 from both sides )

13x = 78 ( divide both sides by 13 )

x = 6

Then

∠ BAS = 19x + 8 = 19(6) + 8 = 114 + 8 = 122°

--------------------------------------------------------------

(4)

11x + 31 is an exterior angle of the triangle , so

11x + 31 = 5x - 4 + 10x - 1

11x + 31 = 15x - 5 ( subtract 15x from both sides )

- 4x + 31 = - 5 ( subtract 31 from both sides )

- 4x = - 36 ( divide both sides by - 4 )

x = 9

Then

∠ N = 10x - 1 = 10(9) - 1 = 90 - 1 = 89°