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3 years ago

Please, guys, help me with this problem, please

Mathematics

1 answer:

pychu [463]3 years ago

8 0

Answer:

80 cubic in

Step-by-step explanation:

The volume of the rectangular prism is 2*2*14= 56 cubic in

The volume of the triangular prism is 2*2*3=12 cubic in

Since there are one on each side, you have to add another 12 cubic in

so that would be 56+ (12+12) = 80 cubic in

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Can someone please help me I’ll give brilliant thingy

cricket20 [7]

Answer:

Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.

Step-by-step explanation:

For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.

In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.

To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.

9/6 = 3/2

12/8 = 3/2

15/10 = 3/2

Alternatively:

6/9 = 2/3

8/12 = 2/3

10/15 = 2/3

Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.

Given that both conditions are satisfied, then we can say these triangles are similar.

Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.

Cheers.

8 0

3 years ago

What does a straight line on a distance time graph mean

klasskru [66]

It means the speed (velocity) was constant - the object traveled the same distance per time period throughout the graph.

7 0

3 years ago

John is choosing a password for his access to the internet. He decided not to use the digit 0 or the letter M. Each letter or nu

mafiozo [28]

25 letters for first spot
25 letters for second spot
$25 ^{2} = 625$
9 numbers
$9 ^{4} = 6561$
6561 times 625
=4,100,625

3 0

3 years ago

A small town has 2000 families. The average number of children per family is mu = 2.5, with a standard deviation sigma = 1.7. A

Nikitich [7]

Answer:

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where $\mu=2.5$ and $\sigma=1.7$

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And for this case the standard error would be:

$\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where $\mu=2.5$ and $\sigma=1.7$

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And for this case the standard error would be:

$\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125$

6 0

3 years ago

Name the line of reflection used to map each preimage to its image

rewona [7]

Answer:

From the picture attached,

9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.

Therefore, line of reflection will be x = -2

10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,

y = x.

11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.

12). Line passing through midpoint of the line joining BB' will be the line of reflection.

Coordinates of B → (5, 3)

Coordinates of B' → (5, 7)

Coordinates of BB' → → (5, 5)

Therefore, line of reflection will be y = 5.

13). Coordinates of G → (2, 5)

Coordinates of G' → (-2, 5)

Midpoint joining the segment GG' → → (0, 5)

Therefore, line of reflection → x = 0

14). Line of reflection passing through (0, 0) and slope = -1

y = -x

Step-by-step explanation:

3 0

2 years ago