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Murljashka [212]
3 years ago
7

Which statements describe a parallelogram that must be a square? Select each correct answer.

Mathematics
2 answers:
Oxana [17]3 years ago
8 0

That would be B, C and E.

A and D could be a rhombus.

DiKsa [7]3 years ago
4 0

Answer:

(D) and (E)

Step-by-step explanation:

From the properties of square, we know that all the four sides of the square are always congruent, the diagonals of the square are always equal and the four angles of the square are equal and are of the measure 90°.

Therefore, from the options, D and E are the correct ones because the sides of square are congruent and the angles are also congruent but the diagonals are not perpendicular.

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A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She esti
Alona [7]

Answer:

(a) <em>X</em> = number of dealerships the customer needs to call before she finds a used red Miata car.

(b) <em>X</em> = 1, 2, 3, 4,...

(c) The distribution of <em>X</em> is, X\sim Geometric\ (p=0.28).

(d) The expected number of dealerships would we expect her to call until she finds one that has the car is 3.57.

(e) The probability that she must call at most 4 dealerships is 0.7313.

(f) The probability that she must call 3 or 4 dealerships is 0.2497.

Step-by-step explanation:

(a)

The random variable <em>X</em> can be defined as the number of dealerships the customer needs to call before she finds a used red Miata car.

(b)

The values that the random variable <em>X</em> can assume are:

<em>X</em> = 1, 2, 3, 4,...

(c)

The random variable <em>X</em> is defined as the number of trials before the first success. Each trial is independent of the others. And each trial has a similar probability of success.

This implies that the random variable <em>X</em> follows a Geometric distribution.

The probability of success, i.e. the probability that any independent dealership will have the car is <em>p</em> = 0.28.

Thus, the distribution of <em>X</em> is, X\sim Geometric\ (p=0.28).

(d)

The expected value of a Geometric distribution is:

E(X)=\frac{1}{p}

Compute the expected number of dealerships would we expect her to call until she finds one that has the car as follows:

E(X)=\frac{1}{p}

         =\frac{1}{0.28}\\

         =3.57

Thus, the expected number of dealerships would we expect her to call until she finds one that has the car is 3.57.

(e)

Compute the probability that she must call at most 4 dealerships as follows:

P (X ≤ 4) = P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

              =\sum\limits^{4}_{x=1}{(1-0.28)^{x-1}\times 0.28}\\=0.28+0.2016+0.1452+0.1045\\=0.7313

Thus, the probability that she must call at most 4 dealerships is 0.7313.

(f)

Compute the probability that she must call 3 or 4 dealerships as follows:

P (X = 3 or X = 4) = P (X = 3) + P (X = 4)

                            =[(1-0.28)^{2-1}\times 0.28]+[(1-0.28)^{4-1}\times 0.28]\\=0.14515+0.10451\\=0.24966\\\approx0.2497

Thus, the probability that she must call 3 or 4 dealerships is 0.2497.

6 0
3 years ago
A toy company currently produces 950 toys per day. The company plans to increase the number of toys produced per day by 55 each
kherson [118]

Answer:

1335 toys per day.

Step-by-step explanation:

The number of toys produced per day can be modeled by the following function:

N(t) = N(0) + at

In which N(0) is the current number and a is the increase.

A toy company currently produces 950 toys per day. The company plans to increase the number of toys produced per day by 55 each year.

This means that N(0) = 950, a = 55

So

N(t) = N(0) + at

N(t) = 950 + 55t

If the company follows through on this plan, how many toys will it be producing per day in 7 years?

This is N(7).

N(t) = 950 + 55t

N(7) = 950 + 55*7 = 1335

1335 toys per day.

8 0
3 years ago
-3/-4(8x-12)=5x-2 how do I solve this
natta225 [31]
The answer would be x equals 7
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3 years ago
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% increase = Increase ÷ Original Number × 100. If the answer is a negative number, that means the percentage change is a decrease.
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Elle can buy 2 quarts of milk for 3$ or 1 gallon milk for 3$ which is the better deal
prisoha [69]
1 gallon for $3 is the better deal because you're getting twice as much for the same price
5 0
3 years ago
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