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S_A_V [24]
3 years ago
5

Which statements are true regarding the prism ?

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Answer:

Step-by-step explanation:The prism has 9 edges; the bases of the prism are triangles; and the prism has 5 faces.

Step-by-step explanation:

The bases of a prism are the faces that are parallel.  In this prism, the only faces that are parallel are the two triangles.  This means the bases are triangles.

In addition to the two parallel bases, there is a are three faces that join the sides of the bases.  This makes a total of 2+3 = 5 faces.

The edges are where the faces meet.  There are 3 edges around each base; this is 6.  There are also 3 edges connecting the lateral faces; this makes 6+3 = 9 edges.

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Which of the following shows the polynomial below written in descending<br> order?
Vladimir79 [104]

Answer:

A. 4x¹² + 9x⁷ + 3x³ -x

Step-by-step explanation:

Hi!

<em>==================================================================</em>

To write a polynomial in descending order, we write the terms with higher degrees, or exponents, first.

3x³ + 9x⁷ -x + 4x¹²

4x¹² has the highest degree, so it is written as the first term.

⇒4x¹²

9x⁷ has the next highest degree, so it is written next.

⇒4x¹² + 9x⁷

3x³ has the next highest degree, so it is written next.

⇒4x¹² + 9x⁷ + 3x³

-x has the lowest degree, so it is written last.

⇒4x¹² + 9x⁷ + 3x³ -x

<u>4x¹² + 9x⁷ + 3x³ -x</u>

<em>==================================================================</em>

<em>Hope I Helped, Feel free to ask any questions to clarify :)</em>

<em>Have a great day!</em>

<em>        -Aadi x</em>

8 0
3 years ago
In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability t
torisob [31]

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that p = 0.7

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

5 0
3 years ago
Chris Paul is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one,
mina [271]

Answer:

Do you even know who Chris Paul is

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The ratio of blue cars to red cars in a garage is 9:7. If there are 49 red cars in the garage then how many blue cars must be in
m_a_m_a [10]

Answer:

Blue cars, B = 63 cars

Step-by-step explanation:

Let the blue cars be B.

Let the red cars be R.

Given the following data;

Ratio of B:R = 9:7 = 9 + 7 = 16

Red cars, R = 49

To find the number of blue cars;

First of all, we would determine the total number of cars using the expression;

R = 7/16 * x = 49

7x = 49 * 16

7x = 784

x = 112 cars

Now, we can find the number of blue cars;

B = 9/16 * 112

B = 1008/16

Blue cars, B = 63 cars

3 0
3 years ago
A lab technician is dividing a cell that has a diameter of 4.32×10^-4 millimeters. Each of the new cells has a diameter measurin
RideAnS [48]

Answer:

2.16 \times  {10}^{ - 4}

Step-by-step explanation:

The lab technician is dividing a cell that has a diameter of

4 .32 \times  {10}^{ - 4}

The new cells has a diameter that is half of the diameter of the original cell.

The diameter of the new cell is given as:

\frac{4.32 \times  {10}^{ - 4} }{2}

Rewrite the numerator in standard notation:

\frac{0.000432}{2}

= 0.00216

We rewrite in scientific notation to obtain:

2.16 \times  {10}^{ - 4}

3 0
3 years ago
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