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iVinArrow [24]
3 years ago
13

You are dealt one card from 52 card deck. Find the possibility that you are dealt a heart or a picture card

Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0

Answer:

<h2>11/26</h2>

Step-by-step explanation:

Since we have 13 heart card then

p(heart) = 13/52

Since we have 12 picture card then

p(picture) = 12/52

Since we have 3 heart and picture (at the same time) card then

p(heart∩picture) = 3/52

finally,

the possibility that you are dealt a heart or a picture card = p(heart or picture)

p(heart or picture) = 13/52 + 12/52 - 3/52 = 22/52

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Step-by-step explanation:

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A triangular pyramid with a height of 9 inches has a volume of 63 cubic inches. If the height of the triangular base is 6 inches
Bond [772]

Option D: 21 in is the base length of the triangular base.

Explanation:

Given that a triangular pyramid with a height of 9 inches has a volume of 63 cubic inches.

The height of the triangular base is 6 inches.

We need to determine the base length of the triangular pyramid.

The base length of the triangular pyramid can be determined using the formula,

Volume =\frac{1}{3} \times Bh

Substituting Volume=63 and Height=9 in the above formula, we get,

63 =\frac{1}{3} \times B(9)

Simplifying the terms, we get,

63 =3B

Dividing both sides by 3, we have,

21=B

Thus, the base length of the triangular pyramid is 21 in

Hence, Option D is the correct answer.

3 0
3 years ago
20 if f(x) = 4x + 5, what is the value of f(-3)?<br> A-2<br> B-7<br> C 17<br> 04
Juliette [100K]

Answer:

B. -7

Step-by-step explanation:

f(x) = 4x + 5

To find the value of f(-3), replace all the x's in f(x) with -3.

f(x) = 4x + 5

f(-3) = 4(-3) + 5

f(-3) = -12 + 5

f(-3) = -7.

This makes your answer B, -7.

5 0
2 years ago
In 2000, the population of Massachusetts
Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

f(x) = 6.3*(1.0032)^{x}

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

f(x) = 6.3*(1.0032)^{x}

7 = 6.3*(1.0032)^{x}

(1.0032)^{x} = \frac{7}{6.3}

(1.0032)^{x} = 1.11

We have to following logarithm rule

\log{a^{x}} = x\log{a}

So we apply log to both sides of the equality

\log{(1.0032)^{x}} = \log{1.11}

x\log{1.0032} = \log{1.11}

x = \frac{\log{1.11}}{\log{1.0032}}

x = 32.66

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0
2 years ago
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