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2 years ago

Sheila places a 54 square inch photo behind a 12-inch-by-12-inch piece of matting.

Mathematics

1 answer:

nata0808 [166]2 years ago

3 0

The are of a rectangle is calculated by multiplying the length and the width of the shape. First, we determine the dimensions of this figure. We do as follows:

Width = 12 - 2x - 2x = 12 - 4x
Length = 12 - x - x = 12 - 2x

Area = (Length)(Width)
Area = (12 - 2x )(12-2x)

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The Sydney Morning Herald - February 8, 2004 reported that in 1961, the average number of children born to Australian women (3.5

Alborosie

Answer:

<h2>A. Agree, 4 children is the most typical number of children.</h2>

Step-by-step explanation:

By analysis the problem, we can make our decision by first determining the percent of 3.55 of 4

therefore the percentage can be computed as

=(3.55/4)*100

=0.8875*100

=88.75%

The analysis above it shows that 88.75 percent of the women who give birth to children give birth to 4 children.

This number is very close to a hundred percent hence the statistical claim is "Agree, 4 children is the most typical number of children."

3 0

1 year ago

a manufacturer of cat toys produces three different toys filled with catnip the toys are the shape of a cone cylinder sphere eac

OLEGan [10]

Statements A, B, and C are true.

Step-by-step explanation:

Step 1:

A cone, a cylinder and a sphere all have radii of 3 inches. The cone and cylinder have heights of 2 inches.

The volume of the cone, $V=\pi r^{2} \frac{h}{3}.$ Here r = 3 inches and h = 2 inches.

So the volume of the cone $=\pi r^{2} \frac{h}{3} = \pi (3^{2}) \frac{2}{3} = 18.85$ cubic inches.

The volume of the cylinder, $V=\pi r^{2} h.$ Here r = 3 inches and h = 2 inches.

So the volume of the cylinder = $=\pi r^{2} h= \pi (3^{2}) (2) = 56.55$ cubic inches.

The volume of the sphere, $V=\frac{4}{3} \pi r^{3}.$ Here r = 3 inches.

So the volume of the sphere $=\frac{4}{3} \pi (3^{3})= 113.1$ cubic inches.

Step 2:

Now we check to see which statements are true.

A. About 113 cubic inches of catnip will fit inside a sphere-shaped toy so it is true.

B. About 18.8 cubic inches of catnip will fit inside a cone-shaped toy so it true.

C. The sphere-shaped toy holds the most of the three so it is true.

D. No shape holds 169.6 cubic inches, so D is false.

E. The toys shaped like a cone and a cylinder do not hold the same amount of catnip in them. So it is false.

P.S. I couldn't see the options B, D, and E completely.

8 0

2 years ago

Determine the margin of error, m , of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume

madreJ [45]

Answer:

E= 6.45

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

Step-by-step explanation:

Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.

General formula for the margin of error is

Margin of error = critical value × standard error of statistic

= $z \alpha /2$ × σ √n

z-value from two tailed is listed below:

From the table of standard normal distribution, probability value of 0.10.

row and column values gives the area to the two tail of z.

The positive z value is 2.58.

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

after putting these vales we obtain the margin of error value that is

E= 6.45

7 0

1 year ago

your grades on tests 1 2 and 4 are 82 76 and 90. unfortunately you cut the third test and received a 0. If you have one test lef

Dmitrij [34]

Answer: No, he can't pass the course.

Explanation:

Since we have given that

Marks on tests 1, 2, and 4 are given by

82, 76, 90 respectively.

Unfortunately, he cut the third test and receive a 0.

According to question, we have given that passing grade for the course is 70, and his one test left to take ,

Let the marks obtained in fifth test be x

So,

$\frac{82+76+90+0+x}{5}=70\\\\248+x=5\times 70=350\\\\x=350-248\\\\x=102$

And it is not possible to get 102 over 100.

so, he can't still pass the course.

Hence, No, he can't pass the course.

8 0

2 years ago

Which of the following is a benefit to using a random sample for an observational study?

Pavel [41]

Answer:

Step-by-step explanation:

Even though no answer choices are given, the main benefit of this is that by choosing a randomly from a population it allows every single individual to have the same chance of getting chosen and observed. This randomness allows for that sample group to much more accurately represent the entire population that is being observed without having to conduct additional research. Therefore, becoming extremely useful in such studies.

6 0

1 year ago

Read 2 more answers