The quality control engineer for a furniture manufacturer is interested in the mean amount of force necessary to produce cracks in stressed oak furniture. she performs a two-tail test of the null hypothesis that the mean for the stressed oak furniture is 650. the calculated value of the z test statistic is a positive number that leads to a p-value of 0.080 for the test. 22 referring to scenario 9-6, suppose the engineer had decided that the alternative hypothesis to test was that the mean was greater than 650. what would be the p-value of this one-tail test? 0.040 0.960 0.840 0.160

The rectangle with an area of 100 square feet that has the minimum perimeter is a square with sides of 10 feet each.

To find the dimensions of a rectangle with a particular area that has the minimum perimeter, the rectangle should be a square. This is because squares minimize perimeter for a fixed area.

Hence, the rectangle with an area of 100 square feet and minimum perimeter is a square with side lengths of 10 feet.

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The students walk to school is 175.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

let the ratio of students who walk to students who take bus = 5: 7

let the common ratio be x.

So, Number of students who walk = 5x

and, Number of students who Bus= 7x

Total students= 420

So, 5x+ 7x = 420

12x= 420

x= 35

Hence, students walk to school =5  x 35 = 175.

Learn more about ratio here:

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Where the above pictogram is given, note that the number of children who read fewer books than Carlos are two in number. Namely:

To derive the number of children who read fewer books than Carlos, we only need to count the number of people whose books are less than four.

Using the picture graph key, we know that:

Ryan read 4 books

Gwen = 2

Anna = 6

Henry = 3

Since 2 and 3 are less than 4 which was read by Carlos, then the number of children who read fewer books than Carlos are two in number.

Full Question:

Although part of your question is missing, you might be referring to this full question:

Read Picture Graphs

Use the picture graph above. Write or draw to explain.

4. Carlos read 4 books. How many children read fewer books than Carlos?

_  children ?

Answer:

See attached diagram

Step-by-step explanation:

Let x be the number of times the app is opened and y be your monthly income (in dollars).

If an advertiser pays you  $0.005 each time the app is opened, then he pays you $0.005x for all times the app is opened. Since an advertiser pays you $20 per month, then the total income is

y=20+0.005x.

Plot this line on the coordinate plane (see attached diagram).

An axiom in Euclidean geometry states that in space, there are 2 points that lie on the same line.

This is called the two-point postulate. According to Euclidean geometry, in space, there are at least two points, and through these points, there exists exactly one line. This means that there is only one single line that could pass between any two points. This is a mathematical truth. It is known as an axiom because an axiom refers to a principle that is accepted as a truth without the need for proof.

Answer:

its B i think

Step-by-step explanation:

yall needa just say the answer not explain like.smh

Keiko has 1.43 meters of rope left after cutting away 2.57 meters from her 4-meter rope. This is found by subtracting the length of rope she cut away from the initial length of the rope.

The question asks how much rope Keiko has left after cutting away 2.57 meters from a 4 meter rope. To find the answer, we can perform a simple subtraction operation: 4 meters (initial length of rope) - 2.57 meters (length of rope cut away). The result of this calculation should give us the length of rope that Keiko has left.

So, let's perform the calculation:

4 meters - 2.57 meters = 1.43 meters

Therefore, Keiko has 1.43 meters of rope left after cutting away 2.57 meters from her 4 meter rope.

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Work done by a force field in moving an object from a to b is calculated using the line integral of the vector field. For the force field F(x, y) = 2y3/2i + 3xyj and the points a(1, 1) and b(3, 9), we consider a path from a to b, compute the line integral separately for each segment, and sum the results.

In physics and vector calculus, the work done by a force field (like the one in your question) in moving an object from a to b is calculated using the line integral of the vector field along the path taken. For your specific question where the force field is given by F(x, y) = 2y3/2i + 3xyj with the object moving from a(1, 1) to b(3, 9), the work done is computed as follows:

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Final answer:

To find the area of a cake given its circumference, calculate the radius and plug it into the area formula A = πr². Finally, round to the nearest hundredth to get the area value.

Explanation:

To find the area of a circle, you use the formula A = πr², where r is the radius of the circle. Given the circumference of the cake is 25 1/7 inches, we can calculate the radius as r = Circumference / (2π) = 25 1/7 / (2 x 22/7) = 25 1/7 / (44/7) = 25 1/7 / 6.2857 ≈ 3.99 inches.

Now, substitute the radius into the area formula: A = 3.14 x (3.99)² ≈ 50.03 square inches. Therefore, the area of the cake is approximately 50.03 square inches.

we know that

the volume of a solid oblique pyramid is equal to

[tex]V=\frac{1}{3}*B*h[/tex]

where

B is the area of the base

h is the height of the pyramid

in this problem we have that

B is a square

[tex]B=b^{2}[/tex]

where

[tex]b=x\ cm[/tex]

so

[tex]B=x^{2}\ cm^{2}[/tex]

[tex]h=(x+2)\ cm[/tex]

substitute in the formula of volume

[tex]V=\frac{1}{3}*x^{2}*(x+2)\\ \\V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}[/tex]

therefore

the answer is

[tex]V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}[/tex]

Final answer:

The ratio of free throws made to free throws attempted by the player is 12/18, which can be reduced to its lowest terms by dividing both numbers by their greatest common divisor, 6, resulting in the reduced fraction 2/3.

Explanation:

To find the ratio of free throws made to free throws attempted, we start by looking at the numbers given: 12 made out of 18 attempted. We express this ratio as a fraction 12/18.

To reduce this fraction to its lowest terms, we need to find the greatest common divisor (GCD) that divides both numerator and denominator evenly.

In this case, the number 6 is the GCD of 12 and 18. Dividing both the numerator and the denominator by 6, we get 2/3.

Hence, the ratio of free throws made to free throws attempted, reduced to the lowest term, is 2/3.

We have been given that an apartment complex offers apartments with four different​ options, designated by a through  d.

From the given directions we have

Therefore, from the fundamental theorem of counting principle number of available apartments are

[tex]4\times 3\times 5\times 2 =120[/tex]

Hence, 120 apartments options are available.

The solutions for the triangle are:   ∠A = 51.833...° , ∠B = 70.880...° and ∠C = 57.286...°

Explanation

For finding the unknown angles, we need to use Cosine rule. The formulas are...

[tex]cos A = \frac{b^2+c^2-a^2}{2bc} \\ \\ cos B= \frac{a^2+c^2-b^2}{2ac}\\ \\ cos C= \frac{a^2+b^2-c^2}{2ab}[/tex]

Given that the length of three sides of the triangle as : [tex]a= 11.4, b= 13.7[/tex] and [tex]c=12.2[/tex]

Thus,

[tex]cosA= \frac{(13.7)^2+(12.2)^2 -(11.4)^2}{2(13.7)(12.2)} \\ \\ cosA= \frac{206.57}{334.28} \\ \\ cosA= 0.61795... \\ \\ A= cos^-^1 (0.61795...)= 51.833... degree\\ \\ \\ \\  cos B= \frac{(11.4)^2+(12.2)^2 -(13.7)^2}{2(11.4)(12.2)}\\ \\ cos B= \frac{91.11}{278.16} \\ \\ cos B= 0.3275...\\ \\ B= cos^-^1 (0.3275...)= 70.880... degree \\ \\ \\ \\ cos C= \frac{(11.4)^2+(13.7)^2 -(12.2)^2}{2(11.4)(13.7)}\\ \\ cos C= \frac{168.81}{312.36} \\ \\ cos C= 0.54043...\\ \\ C= cos^-^1 (0.54043...)= 57.286... degree[/tex]

Answer

To simplify the answer above this one, it is

C) A=51.8 B=70.9 C=57.3

Step-by-step explanation:

I got it right on edge