Following are two confidence interval estimates of the meanμ of the cycles to failure of an automotive door latchmechanism (the test was conducted at an elevated stress level toaccelerate the failure).
3124.9 ≤ μ ≤3215.7 3110.5 ≤ μ≤ 3230.1
(a) What is the value of the sample mean cycles tofailure?
(b) The confidence level for one of these CIs is 95% and theconfidence level for the other is 99%. Both CIs arecalculated from the same sample data. Which is the 95%CI? Explain why.

The probability that the number pyramid will land on three and the spinner will stop on blue is 1/24.

To determine the probability that the number pyramid will land on three and the spinner will stop on blue, we need to know the total number of possible outcomes for both events and the number of favorable outcomes for the desired outcome.

Let's assume that the number pyramid has six sides numbered from one to six, and the spinner has four sections colored blue, red, green, and yellow. If both the number pyramid and spinner are fair and unbiased, each outcome is equally likely.

Number pyramid outcomes: There are six possible outcomes, namely numbers one to six.

Spinner outcomes: There are four possible outcomes, namely blue, red, green, and yellow.

To find the probability of both events happening together, we need to multiply the probabilities of each event occurring individually, assuming they are independent events (i.e., the outcome of one event does not affect the outcome of the other).

Probability of landing on three: Since the number pyramid has six sides, and we want to land on three, there is only one favorable outcome (three) out of the six possible outcomes. Therefore, the probability of landing on three is 1/6.

Probability of stopping on blue: Since the spinner has four sections, and we want it to stop on blue, there is only one favorable outcome (blue) out of the four possible outcomes. Therefore, the probability of stopping on blue is 1/4.

To find the probability of both events occurring, we multiply these probabilities:

Probability of landing on three and stopping on blue = (1/6) * (1/4) = 1/24

Therefore, the probability that the number pyramid will land on three and the spinner will stop on blue is 1/24.

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Answer:

a) R=P+C

b) $870

Step-by-step explanation:

a)

since P=R-C we can do the following to solve the equation for R:

P=R-C

P+C=R-C+C (add C to both sides to get R by itself)

P+C=R

b) P=350  C=520

since R=P+C,

R=350+520

R=870

Answer:

Use the new formula to find the value of R given that

The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point. The statement is true.

A straight line that crosses a curve at two or more points is known as a secant line. The given point (8, p(8)) in this instance is on the curve and the line. As a result, the secant line to the curve at that point is the line that intersects the curve at (8, p(8)).

Let's think of an example to help further clarify this idea. Let's say we wish to locate the secant line to a curve at the point (8, p(8)) where the equation \(y = x^2\) defines the curve.

We must first determine the secant line's slope. The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):

slope= (y2 - y1) / (x2 - x1).

The two points in this case are the curve's second point and (8, p(8)). We can select a different point on the curve, such as (4, p(4)), to get the slope.

slope = (p(4)-p(8)) / (4 - 8)

Next, we evaluate the function at these points:
\(p(4) = 4^2 = 16\\p(8) = 8^2 = 64\)

Substituting these values into the slope formula:
slope = (16 - 64) / (4 - 8)
     = -48 / -4
     = 12

Now that we have the slope, we can write the equation of the secant line using the point-slope form:
y - y1 = m(x - x1)

Substituting the values (8, p(8)) and slope = 12 into the equation:
y - p(8) = 12(x - 8)

Simplifying the equation:
y - p(8) = 12x - 96

This is the equation of the secant line to the curve at the point (8, p(8)).

In conclusion, the statement is true. The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point.

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Answer:

4.96 dollars

Step-by-step explanation:

20-5.12=14.88

14.88/3= 4.96 dollars

so each pair of socks costs 4.96$

Answer:

36 cm

Step-by-step explanation:

3:2 = ?:24

24 / 2 = 12

12 * 3 = 36

Width = 36

Answer: 3x +1.2y

Step-by-step explanation:

you have to add the like terms together (the x’s plus the x’s, the y’s plus the y’s)

4x+7x=11x

11x-8x=3x

-5.2y+6y= 1.2y

Then you combine the x and the y for your answer.

3x+1.2y

Answer:

3x+0.8y

Step-by-step explanation:

4x-5.2y+6y+7x-8x

4x+7x-8x-5.2y+6y ( 4x+7x-8x → 3x)

3x-5.2y+6y ( -5.2y+6y → 0.8y)

3x+0.8y

Hope it helps! :)

Answer:

sorry im on a time lapse, so the answer is 2  1/2. hope it helps

Step-by-step explanation:

Answer:

Hi above picture is the solution for your question.

Please mark it the brainliest answer

Answer:

5

120

20

Step-by-step explanation:

The total thickness of Jada's pile of books was 12 inches.

A graph form used to display numerical data is a line plot, commonly referred to as a dot plot. Each data point in a line plot is represented by a dot that is positioned above a number line. Dots that indicate the same value are piled vertically and put above the appropriate value on the number line.

Little to intermediate sized data sets may be displayed using line plots, which enable us to rapidly observe the data's distribution, including its range, frequency, and any outliers.

Two data points on the line plot indicate a set of books that were each one and a half inches thick, indicating that there were two of such types of books.

Four data points on the line plot indicate a set of books that were each 2 1/4 inches thick, indicating that there were four of such types of books.

Total thickness = (2 x 1 1/2) + (4 x 2 1/4)

= 3 + 9

= 12 inches

Hence, the total thickness of Jada's pile of books was 12 inches.

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Step-by-step explanation:

= -4(-5(7 - 13) - 19)2(-1)

= -4(-5(-6) - 19)(-2)

= -4(30 - 19)(-2)

= -4(11)(-2)

= (-44) × (-2)

= 88

The value of the given expression is -392.

The given expression is -4[-5(7-13)-19]2(-1).

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, -4[-5(7-13)-19]2(-1)

= -4[-5(-6)-19]2(-1)

= -4[-30-19]2(-1)

= -4 (-49)(-2)

= -4(98)

= -392

Therefore, the value of the given expression is -392.

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The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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If the first bus is boarded at a rate of 15 people per minute, the domain of the function is; (15 ≤ x ≤ 45)

We are told that;

Total number of Juniors at Smithers High School that are taking a class trip = 130

Number of buses taking each student to their destination = 3 buses

Capacity of each bus = 45 people

Now, if the function  f(x) describes the total number of people on the first

bus, where x is the number of minutes spent loading the bus.

Then since the maximum number of people on the first bus is 45, then it means that the domain of the function is;

(15 ≤ x ≤ 45)

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(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

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The equation of the circle with center (-7, 2) containing the point

(-16,8) is (x + 7)^2 + (y - 2)^2 = 117.

The equation of a circle with center (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

We are given the center of the circle as (-7, 2) and a point on the circle as (-16, 8).

Using the formula, we can substitute the values into the equation:

(-16 - (-7))^2 + (8 - 2)^2 = r^2

(-16 + 7)^2 + 6^2 = r^2

(-9)^2 + 36 = r^2

81 + 36 = r^2

r^2 = 117

Therefore, the equation of the circle is:

(x - (-7))^2 + (y - 2)^2 = 117

Simplifying:

(x + 7)^2 + (y - 2)^2 = 117

So, the equation of the circle is (x + 7)^2 + (y - 2)^2 = 117.

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The amount that Jane would earn for working for 60 hours is $630.

The given function is a linear function. A linear function is a function that changes at a constant rate. When a linear graph is drawn on a coordinate graph, it can slope either upward or downward.

The linear function that represents the total amount she earns is:

Total earnings = cost per hour x total number of hours worked

Total earnings = $10.50 x h  

Total earnings = $10.50 x 60 = $630

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Answer:

B.  p - 200

Step-by-step explanation:

Start with the original price, p.

When the price is reduced by $200, you are taking away $200 from the price, so you need to subtract $200 from the original price, p.

Answer:  B.  p - 200

Answer:

1:3

Step-by-step explanation:

3:12 is the amount of shaded circles to all circles, 8:2 is basically the same thing as 3:12 and 9:3 is the amount of shaded circles to the amount of non-shaded circles.  1:3 wouldn't work because it is not the right ratio.

The piecewise function graphed in this problem is defined as follows:

A piece-wise function is a function that has different definitions, depending on the input of the function.

The definitions for this problem are given as follows:

For the function up to x = 1, the function is a linear function with slope of 1 and intercept of 6, hence:

y = x + 6, x ≤ 1.

For the function greater than x = 1, the quadratic function y = x² + 3 is defined, hence:

y = x² + 3, x > 1.

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Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

\(\frac{1}{2}=\frac{-3}{7}q\)

1/2*7/-3= -7/6

q = -7/6 NOT -11/6 so the statement is false

Answer:

the first one

Step-by-step explanation: it worked for me i passed it

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

(-6,9)

Step-by-step explanation:

We can use the midpoint formula to find the coordinates of C. The midpoint formula states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:

((x1 + x2)/2, (y1 + y2)/2)

In this case, we know that the midpoint of CD is M(-1, 7) and one endpoint of CD is D(4, 5). Let C = (x, y) be the coordinates of the other endpoint of CD. Then we can use the midpoint formula to set up two equations:

(x + 4)/2 = -1

(y + 5)/2 = 7

Solving for x and y, we get:

x + 4 = -2

y + 5 = 14

x = -6

y = 9

Therefore, the coordinates of C are (-6, 9).

Answer:

$111.03

Step-by-step explanation:

79.98 + 31.05 = 111.03

Answer:

3 pounds

Step-by-step explanation:

If you add $3.25 three times, you get $9.75.

Answer:

Step-by-step explanation:

For this question they are asking you to find y when x is {2, 4, and 6}

That means you need to plug 2,4, and 6 into the equation and solve.

For example:

f(x) = 5x - 4

f(2) = 5(2) - 4

f(2) = 10 - 4

f(2) = 6

f(x) = 5x - 4

f(4) = 5(4) -4

f(4) = 20 - 4

f(4) = 16

f(x) = 5x - 4

f(6) = 5(6) - 4

f(6) = 30 - 4

f(6) = 26

Answer:

6,16,26 is the answer

Step-by-step explanation:

7.82 % is probability that all reservation holders who show will be accommodated.

What is probability in math?

If 236 are booked.

and there is only room of 213.

if 214 or 215 or 216 ............  etc

all the way to 236

there won't be enough seats.

P( X = 214 ) = ²³⁶C₂₁₄ * ( 0.9005 ) ²¹⁴   * ( 0.995 )²²

P( X = 214 ) = 0.08439109

                   = 8.44 %

P( X = 215 ) =  ²³⁶C₂₁₅ *  ( 0.9005 ) ²¹⁵   * ( 0.995 )²¹

                    = 0.0781522

                     = 7.82 %

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Answer:

No

Step-by-step explanation:

No, because it has repeating domains (x-values)

Hope this helps!

Answer:  a/2 + a/2

What property states this equation

Step-by-step explanation: