A normal population has a mean of 55 and a standard deviation of 17. You select a random sample of 23. Use Appendix B.1 for the z values. Compute the probability that the sample mean is: (Round the final answers to 4 decimal places.) a. Greater than 58. Probability b. Less than 51. Probability c. Between 51 and 58. Probability.

Answer:

2/3

Step-by-step explanation:

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Answer:

I'm not sure but it might be 2/3????? That's just from looking at Spatrickfarley's answer. He deserves Brainliest!

6.63324958071 is the mean of 2 and

Answer:

2 sqrt(11)

Step-by-step explanation:

To find the geometric mean of two numbers, take the square root

sqrt( 2*22)

sqrt(44)

sqrt(4*11)

2 sqrt(11)

Answer:

Adult Ticket: £7

Child Ticket: £2

Step-by-step explanation:

Let the cost of 1 child ticket be c, adult ticket be a.

\(2a + 3c = 20 \\ \\ a + 4c = 15 \\ a = 15 - 4c \\ \\ 2(15 - 4c) + 3c = 2 0 \\ 5c = 10 \\ c = 2 \\ \\ a = 15 - 4(2) \\ a = 7\)

AD-BD=22-15=7

AB is equal to 7.

AD-AC=22-10

AB is equal to 12.

AB+CD=7+12=19.

AD-(AB+CD)=22-19=3

Answer:

3

Step-by-step explanation:

As you can see from the image attached, the length of BC = 3 because:

AC= 10m, BD=15m and AD=22m

When we add up AC + BD = 25 but the length of AD is 22, the 3 extra from the sum of AC + BD is the length of BC.

one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Thus,

The lengths of the legs of the triangle are 18 inches,24 inches and  30 inches.

Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given that,

one leg of a right triangle is 6 inches longer than the other leg.

hypotenuse is 30 inches.

Let assume, the other leg be x

It is given that, one leg of a right triangle is 6 inches longer than the other leg. So, One leg = x + 6

Since it is a right angled triangle,

h² = p² + b²

Where, h = hypotenuse

p = perpendicular

B = Base

So, (30)² = (x+6)² + x²

or, x = -24, 18

As, the length of side cannot be negative so x becomes 18.

Thus, x + 6 = 18 + 6 = 24 inches

Hypotenuse = 30 inches

Hence, the lengths of the legs of the triangle are 18 inches, 24 inches and  30 inches.

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Math worksheets like "Algebra with Pizzazz" are designed to help students practice and reinforce their understanding of algebraic concepts through engaging and creative problem-solving activities.

Yes, I am familiar with math worksheets that use the "Algebra with Pizzazz" format. These worksheets are designed to make learning algebra more engaging and fun by incorporating puzzles, riddles, and creative problem-solving activities.

However, it is important to note that providing or seeking answers to specific worksheet questions, including those from "Algebra with Pizzazz," goes against academic integrity principles.

The purpose of math worksheets, including those in the "Algebra with Pizzazz" series, is to help students practice and reinforce their understanding of algebraic concepts.

By completing these worksheets independently, students can develop problem-solving skills, strengthen their algebraic reasoning, and gain confidence in their abilities.

To make the most of math worksheets, it is recommended to work through the problems step by step, using the provided instructions and examples.

If you encounter difficulties or have questions, it is best to seek assistance from a teacher, tutor, or online resources that can guide you through the problem-solving process rather than seeking direct answers. This approach promotes a deeper understanding of the subject matter and helps develop critical thinking skills.

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The value of expression  (√3+1)(1-2√3)​ is -5-√3

An expression is combination of variables, numbers and operators.

The given expression is (√3+1)(1-2√3)​

Square root three plus one times of one minus two root three.

(√3+1)(1-2√3)​

Now distribute each terms

√3-2√3√3+1-2√3

√3-2(3)+1-2√3

Add the like terms

√3-6+1-2√3

√3-5-2√3

-5-√3

Hence, the value of expression  (√3+1)(1-2√3)​ is -5-√3

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The  trains are side by side after approximately 15 seconds.Option (b) is correct.

The position of the first train is given by the function:

\($$y_1 = 14t^2$$\)

The position of the second train is given by the function:

\($$y_2 = 130t + 1200$$\)

To find the time when the trains are side by side, we need to solve for the value of t that makes y1 = y2. Thus, we can set the two equations equal to each other:

\($$14t^2 = 130t + 1200$$\)

Rearranging the terms, we get:

\($$14t^2 - 130t - 1200 = 0$$\)

Dividing both sides by 2 to simplify the coefficients, we get:

\($7t^2 - 65t - 600 = 0$$\)

We can use the quadratic formula to solve for t:

\($t = \frac{-(-65) \pm \sqrt{(-65)^2 - 4(7)(-600)}}{2(7)} = \frac{65 \pm \sqrt{4225 + 16800}}{14}$$\)

Simplifying the expression under the square root, we get:

\($$\sqrt{21025} = 145$$\)

So the solutions are:

\($t_1 = \frac{65 + 145}{14}=15$$\)

\($t_2 = \frac{65 - 145}{14} \approx -5.71$$\)

Since time cannot be negative, we discard t2 as an extraneous solution. Thus, the viable time when the trains are side by side is:

\($t = t_1 =15$$\)

Therefore, the trains are side by side after approximately 15 seconds.

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The probability that either A or B occurs is 0.7.

The probability of event A or B occurring can be calculated using the formula given below:

$$P(A\cup B)= P(A) + P(B) - P(A\cap B)$$Given that: $$P(A\cap B) = 0.2$$ $$P(A) = 0.6$$ $$P(B) = 0.5$$

To find: $$P(A\cup B)$$

Substituting the values in the above formula, we get:$$\begin{aligned}P(A\cup B)&= P(A) + P(B) - P(A\cap B) \\ &=0.6 + 0.5 - 0.2\\&=0.9 - 0.2\\&=0.7\end{aligned}$$

Answer: \(\boxed{0.7}\).

As a result, there is a 0.7 chance that A or B will happen.

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Answer: D, x < 8

Step-by-step explanation: Subtract 18 from both sides.

Simplify the expression

Subtract the numbers

Subtract the numbers

Divide both sides by the same factor, and flip the relation because the factor is negative

Cancel terms that are in both the numerator and denominator

Divide the numbers

−6x+18−18>−30−18=

=x<8

The y' at the point (-2, 0) yields y'∣ at (-2, 0) = 1/2. We need to find the derivative of y with respect to x, and then substitute the values of x and y at the given point into the derivative expression.

Step 1: Find the derivative of y with respect to x.

Differentiating both sides of the equation 2x^3y - 2x^2 = 8 with respect to x, we get:

6x^2y + 2x^3(dy/dx) - 4x = 0

Step 2: Substitute the values and solve for dy/dx at the point (-2, 0).

Now, we substitute x = -2 and y = 0 into the derivative expression:

6(-2)^2(0) + 2(-2)^3(dy/dx) - 4(-2) = 0

Simplifying further, we have:

0 + 2(-8)(dy/dx) + 8 = 0

-16(dy/dx) + 8 = 0

-16(dy/dx) = -8

dy/dx = -8/-16

dy/dx = 1/2

Therefore, evaluating y' at the point (-2, 0) yields y'∣ at (-2, 0) = 1/2.

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Answer:

Her first mistake was in Step 2. She added 0.2 to each term instead of multiplying by 0.2.

Step-by-step explanation:

CORRECT WAY:

0.2(4+1.4y - 2.1)

0.8 + 0.28y - 0.42

0.8 - 0.42 + 0.28y

0.38 + 0.28y

WHAT TAMARA DID:

0.2(4+1.4y - 2.1)

How she got 4.2: 0.2 + 4 = 4.2

How she got 1.6y: 0.2 + 1.4y = 1.6y

How she got -1.9: 0.2 + -2.1 = -1.9

WHAT SHE DID HERE IS WRONG. REMEMBER WHEN IT IS __( ______) IT MEANS THAT YOU NEED TO MULTIPLE NUMBER OUTSIDE THE PARATNESS TO EVERY NUMBER THAT IS INSIDE THE PARATNESS.

Answer:

For us to determine the answer to this item, we simply have to divide the given fraction of the great aunt’s property that is to be divided among the cousins by 6.

    N = 5/8 / 6

The value of N in the equation is 5/48 or 0.104. Thus, each of the cousins will receive 10% of the great aunt’s property.

Answer:

5/48

Step-by-step explanation:

(5/8) / 6

The missing number from the diagram is 26. Option D

First, we need to know that square of a number is the number times itself

From the diagram shown, we have that;

a. 2² = 4

4² = 16

Add the values

4 + 16 = 20

Also, we have that;

3² = 9

9² = 81

Add the values

= 81 + 9 = 90

Then,

1² = 1

5² =25

Add the values

25 + 1 = 26

Thus, to determine the value, we need to find the square of the other two and add them.

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Hey there!

A geometric sequence is where we use multiplication or division to get to the next term.

In this case, we use multiplication (we multiply every term by 3)

So we have

-1, -3, -9, -27, -81, -243...

Steps:

Hope everything is clear.

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\(\rule{200}{2}\)

The two sitters charge the same amount by 4 days.

Given data;

One home watch provider bills $40 per day. The initial pay for another house sitter is $100 plus $15 per day. Which equation could you use to solve to determine how many days later the two sitters' fees are equal?

To solve this case, assume;

'x' is the days required to get equal charges.

'y' is the final charge.

40 * x = y

100 + (15 * x) = y

From the above equations;

40 * x = 100 + (15 * x)

40 * x - 15 * x = 100

x = 4

Hence, 4 days is the fee charged by the two sitters are the same.

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Answer:

Step-by-step explanation:

x^2 =63^2 +61^2 - 2(63)(61)cos142°

x^2= 13746.65

x= √(13746.65)

x≈ 117.246

x= 117

The distance, to the nearest foot, the plane has flown is 3926.887 feet.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians

The horizontal runway, the distance plane flied and the height gained forms a right angled triangle.

Let x be the distance plane flied.

Height gained = 950 feet

Angle that plane makes with the horizontal runway = 14°

Sin 14 = Opposite side / Hypotenuse

Sin 14 = 950 / x

x = 950 / sin 14

x = 3926.887 feet

Hence the distance plane flied is 3926.887 feet.

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The margin of error with 9990 confidence will lead to the wider interval

The margin of error is a close estimate of the confidence interval at a certain level of probability. It is described as a very small percentage that is built in for errors. The degree of confidence denotes the likelihood that the population parameter in the interval estimation is accurate. A higher degree of assurance or accuracy in an estimate is implied by a higher confidence level.

The range of values that the genuine population parameter is expected to fall within is bigger when the interval is wider. This wider range indicates the higher degree of confidence that is required and provides for a larger estimating error. In contrast to the margin of error with a 95% confidence level, the margin of error with a 99% confidence level (9990 confidence) will often result in a broader interval as compared to 9580.

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The functions after the translations are given as follows:

5. g(x) = 2|x - 2| + 5. (option C).

6. \(g(x) = 2\sqrt{x + 1} + 13\) (option C).

7. The transformation that will map f(x) to g(x) is given as follows:

d. Shifting g(x) 8 units left and 5 units down.

There are four translations, and they are defined as follows:

For item 5, the translations are given as follows:

Hence the function is given as follows:

g(x) = 2|x - 1 - 1| + 2 + 3

g(x) = 2|x - 2| + 5

Meaning that option c is correct.

For item 6, the translations are given as follows:

Hence the function is then given as follows:

\(g(x) = 2\sqrt{x - 1 + 2} + 5 + 8\)

\(g(x) = 2\sqrt{x + 1} + 13\)

Meaning that option c is correct.

For the transformations in item 7, we look at the vertex, which is the turning point, hence:

Meaning that option d is correct.

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Answer:

The Answer Is 28.8%

Step-by-step explanation:

I got it right on my Aleks assigments :)

Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

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Answer:

\(78 = (5x - 2) \\ \\ 78 = 5x - 2 \\ \\ 78 + 2 = 5x \\ \\ 80 = 5x \\ \\ x = \frac{80}{5} \\ \\ x = 16\)

it's was vertical angel they are equal ( = ) each other

it's was helpful to you

\( \\ \mapsto78 = (5x - 2)\)

\( \\ \mapsto78 = 5x - 2\)

\( \\ \mapsto78 + 2 = 5x\)

\( \\ \mapsto80 = 5x\)

\( \\ \mapsto \frac{80}{5} = x\)

\( \\ \mapsto16 = x\)

\( \\ \mapsto \: x = 16\)

[Hence, the value of x is 16.]

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer:

C it could do both like 2/2=1 ....2/3=forever

Answer:

34

Step-by-step explanation:

The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

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Step-by-step explanation: lol like a dozen