Compute the volume of the region.
the region in the first octant bounded by the parabolic cylinder
z = 49 − y2
and the plane
x = 6
34303​
units3

We need o find the cut-off score for acceptance.

We know that the scores are normally distributed with a mean of 500 and a standard deviation of 100.

Thus, we can use a z-score table to find Z for which the percentage above it is 25% = 0.25.

Then, we calculate the cut-off score x as follows:

Using a z-score table, we find the the z with a percentage above 0.25 (one minus the percentage below 0.75) is:

Then, we obtain:

Answer: c) 567

The compound statement "I studied hard for the test or I went to the beach" can be represented in symbolic form as p ∨ q, where p represents "I studied hard for the test" and q represents "I went to the beach."

The symbol ∨ denotes the logical operator "or," which indicates that either p or q (or both) can be true for the compound statement to be true. In this symbolic form, the statement p ∨ q means that the compound statement is true if either p is true, q is true, or both p and q are true. If the person studied hard for the test (p is true) or went to the beach (q is true), then the overall compound statement is true. On the other hand, if neither p nor q is true (i.e., the person didn't study hard for the test and didn't go to the beach), then the compound statement is false. The use of the logical operator "or" allows for either condition to satisfy the statement.

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Answer:

The answer is 400

Step-by-step explanation:

Withdraw means to take out, deposit means to put in. So you adding and subtracting all the numbers. 400-50+70-20= 400

Answer:$1.23

Step-by-step explanation:

Answer:

1414

Step-by-step explanation:

Multiply 54 by 14, and 47 by 14. That is 756 and 658. Add them together to get the answer.

The book that weighs 3/4 pounds is greater than 1/2 pounds.

To compare the weights of the two books with 1/2 pound, we need to convert 1/2 pound into a fraction with a common denominator as the given weights. The common denominator of 8 and 4 is 8. So, we can convert 1/2 pound to 4/8 pound.

Now we can compare the weights of the two books with 4/8 pounds. The weight of the first book is 3/8 pounds, which is less than 4/8 pounds. The weight of the second book is 3/4 pounds, which is greater than 4/8 pounds.

Therefore, the book that weighs 3/4 pounds is greater than 1/2 pound.

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Answer:

14

Step-by-step explanation:

If you put 84 into 6 groups there is 14 in each group. So therefore your answer is 14.

Answer:

14

Step-by-step explanation:

cuz it is

The situation leads to the conclusion that 0.05 is the proper significance threshold to reject the null hypothesis.

A statistical calculation known as a p-value is employed to assess the applicability of a hypothesis to the data.

A p-value establishes the likelihood that the outcomes that were observed would occur if the null hypothesis were true.

The found difference becomes statistically more significant as the p-value decreases.

The null hypothesis is probably accurate if P > 0.05. The likelihood that the alternative hypothesis is accurate is one less than the P value.

If the test outcome is unreliable or statistically significant, the test hypothesis must be rejected (P 0.05).

If the P value is above 0.05, no effect was seen.

So, if the p-value is less than the significance level, the null hypothesis will be rejected.

Both a 5% and 10% level of significance can be used to reject the null hypothesis, however, a 5% level of significance is preferable because it results in a confidence level of 95%, whereas a 10% level of significance results in a confidence level of 90%.

In essence, the significance level reflects the likelihood that the null hypothesis will be rejected when it is true, and the lower the likelihood of taking that risk, the better.

Thus, the circumstance suggests that 0.05 is the appropriate significance threshold.

Therefore, the situation leads to the conclusion that 0.05 is the proper significance threshold to reject the null hypothesis.

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Complete question:

In a two-tailed 2-sample z-test you find a P-Value of 0.0278. At what level of significance would you choose to reject the null hypothesis?

ANSWER:

Selling more than 0 and less than 20 units will give positive revenue.

STEP-BY-STEP EXPLANATION:

We have the following function:

Now, we propose the following inequality:

Since negative units cannot be sold, we are then interested in the range from 0 to 20, therefore, if more than 0 and less than 20 units come in, the revenue will be positive.

Answer:

INFINITE

Step-by-step explanation:

-3(x-14)+9x=6x+42

-3x+42+9x=6x+42

the underlined 42 is -3 times -14.Neg*neg=positive and 3*14=42

6x+42=6x+42

Answer:

\(\frac{\sqrt{2}}{2}\)

Step-by-step explanation:

You can find this by looking at a unit circle and locating 45 degrees, and finding the x coordinate at that point.

Answer:

The transformation was a 90° rotation about the origin.

Step-by-step explanation:

Triangle ABC was transformed using the rule (x, y) → (–y, x). The vertices of the triangles are shown. A (–1, 1) B (1, 1) C (1, 4) A' (–1, –1) B' (–1, 1) C' (–4, 1) Which best describes the transformation? The transformation was a 90° rotation about the origin. The transformation was a 180° rotation about the origin. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

Answer: Transformation is the process of moving a point in a graph to another point. The new point formed is the image of the old point. When an object is transformed each point of the object is moved to another point. There are three types of transformation: Reflection, Rotation, Translation and dilation.

If a point O(x, y) is rotated 90° rotation about the origin., the new point is at O'(-y, x). That is the x coordinates becomes negative of the y coordinate and the y coordinate becomes the x coordinate.

The vertices of the triangles are shown. A (–1, 1) B (1, 1) C (1, 4), If a transformation of 90° rotation about the origin is done, the new points are A' (–1, –1) B' (–1, 1) C' (–4, 1)

Answer:

The answer is a

Step-by-step explanation:

Not direct answer but

this is how I think

radius = 4 so AC is also 4

You can find with this

2π ( 4 ) ( 51°/360°) = Answer

Actually I am lazy to calculate (◔‿◔)

Answer:

6mm

Step-by-step explanation:

pythagorean theorem

Answer:

Solution given:

length[a]=8mm

base(b)=xmm

hypotenuse [c]=10mm

we have

by using Pythagoras law

a²+b²=c²

8²+x²=10²

x²=100-64

x=√36

x=6mm

the length of the leg b is 6mm.

Answer:

5

Step-by-step explanation:

Bryan is able to maintain a consistent travel time to work, despite the presence of red lights.

Based on the information provided, it seems like Bryan is always taking the same amount of time to drive to work, regardless of whether the traffic lights are red or not. Let's break it down:

1. Bryan knows that it takes him fifteen minutes to drive to work under normal conditions, with no red lights.
2. However, if every traffic light is red on his way to work, it takes him twenty minutes to get there.

So, even though there is a possibility of encountering red lights, Bryan still manages to get to work in the same amount of time as when there are no red lights. This suggests that Bryan may have found a way to navigate around the red lights, or there may be alternative routes he takes to avoid delays.

In summary, Bryan is able to maintain a consistent travel time to work, despite the presence of red lights.

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Answer:

1.  (3/2)

2. (20)

3. (3)

4. (-9/5)

5. (-8/7)

6. (-2/3), (4)

Step-by-step explanation:

1.                          2.                        3.                          4.

x         3                   12         3               x           1                x + 3        3

/    =    /                     /     =    /                /    =      /                   /     =     /

4         8                   x           5              9           x                   2           5

8x = 12                    60 = 3x                  x² = 9                      5x + 15 = 6

÷8    ÷8                   ÷3    ÷3                   x = √9                          -15     -15

                                                                                                5x = -9

x = (3/2)                   x = 20                  x = 3                           ÷5    ÷5

                                                                                                  x = (-9/5)

5.                             6.

4 - x          3                   1               x - 3

  /       =     /                   /        =        /

 12            7              2x + 1               9

28 - 7x = 36                   9 = 2x^2 - 5x - 3

-28         -28                 + 3                    + 3

                                     12 = 2x^2 - 5x

-7x = 8                          -12                   -12

÷-7   ÷-7

                                       2x^2 - 5x - 12 = 0

x = (-8/7)                      

                                       -b +-√b^2 - 4ac

                                                     /                = -(-5)√-5^2 - 4 (2)(-12)

                                                    2a                                /

                                                                                      2(2)

                                          = 5-+√121        5 - 11        -6

                                                 /         =        /       =    /       = (-2/3)

                                                -4                 4             4

                                                            =     5 + 11          16

                                                                       /      =       /    = (4)

                                                                      4              4

I hope this helps!

Answer:

w - 8.8 > 27

Step-by-step explanation:

Answer:

The slope is 1/3

The degree, k, of each vertex in the graph g is 8.

Let's assume that every vertex in g has degree k. Since g is an undirected graph, each edge contributes to the degree of two vertices. Therefore, the sum of degrees of all vertices in g is equal to twice the number of edges in g.

Given that g has exactly 12 edges, the sum of degrees of all vertices is 2 * 12 = 24. Since g has only 3 vertices, the sum of their degrees must be 24.

If we assume that every vertex has degree k, then the sum of the degrees of the 3 vertices is 3k. Therefore, we can set up the equation 3k = 24.

Solving this equation, we find that k = 24 / 3 = 8. So, each vertex in g has a degree of 8.

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Answer:

-24

Step-by-step explanation:

You would do 6*4 and that equals 24 and since the 4 has a negative in front of it. It will become a -24. It would be a positive if they both had negatives.

Answer:

-24

Step-by-step explanation:

If you multiply -4  6 times, you'd get -24. Whenever you multiply a whole number times a negative number, you will get the same answer as if you were multiplying two whole numbers but in the negatives.

Hope this helps!

~ ♥

Answer:

D

Step-by-step explanation:

Δ DCA and Δ ABE are similar, thus the ratios of corresponding sides are equal, that is

\(\frac{CA}{BE}\) = \(\frac{DA}{AE}\) , substitute values

\(\frac{18}{10}\) = \(\frac{x+8}{8}\) ( cross- multiply )

10(x + 8) = 144 ( divide both sides by 10 )

x + 8 = 14.4 ( subtract 8 from both sides )

x = 6.4 → D

The value of x is the length of BD, so x = 6.So, The correct answer is C. 6.

The value of x is the length of the altitude from vertex B to side AC. We can find this length by using the Pythagorean Theorem on right triangle ABD.

\(AB^2 + BD^2 = AD^2\\8^2 + BD^2 = 10^2\\BD^2 = 36\\BD = 6\)

The altitude from vertex B to side AC is equal to the length of BD, so x = 6.

Here is a breakdown of the steps involved in solving for x:

We are given the lengths of sides AB and AC of triangle ABC.

We know that the altitude from vertex B to side AC will be perpendicular to side AC. We can use the Pythagorean Theorem on right triangle ABD to find the length of BD, which is the altitude from vertex B to side AC.

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Answer:

9

Step-by-step explanation:

The dice will have 6 sides so divide 54 by 6

Answer:

9

Step-by-step explanation:

The dice will have 6 sides so divide 54 by 6

HOPE THIS HELPS!!!!

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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Answer:

2.08 this is answer

The fraction of the fence completed in one hour at a rate of  \(\frac{2}{5}\) of the

fence in  \(\frac{3}{4}\) hours is  \(\frac{8}{15}\).

The fraction of the fence completed in \(\mathbf{\frac{3}{4}}\) of an hour = \(\frac{2}{5}\)

Required:

The fraction of the fence the student completes per hour;

Solution;

The time \(\mathbf{\frac{2}{5}}\) of the fence is completed =  \(\frac{3}{4}\) of an hour

Therefore;

\(The \ in \ \mathbf{\frac{\dfrac{3}{4} \ hour}{\dfrac{3}{4} \ hour}} = 1 \ hour \ the \ frraction \ completed = \dfrac{\dfrac{2}{5} }{\dfrac{3}{4} \ hour} = \dfrac{8}{15} \ per \ hour\)

The fraction of the fence completed per hour = \(\underline{\frac{8}{15}}\)

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Answer: C

Step-by-step explanation:

Triangle C is translated 8 units to the right of the original triangle.