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iragen [17]
3 years ago
5

A library contains 2000 books. There are 3 times as man non fiction books. Write and solve a systems of equations to determine t

he number of nonfiction and fiction books.
Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

The number of fiction books is <u>500</u> and non fiction books is <u>1500</u>.

Step-by-step explanation:

Given:

Total book library contains = 2000.

There are 3 times as many non fiction books as fiction books.

Now, to determine the number of non fiction books and fiction books.

Let the fiction books be x.

And the non fiction books be 3x.

Total books = 2000.

Now, to get the number of non fiction books and fiction books we put an equation:

3x+x=2000.

4x=2000.

Dividing both sides by 4 we get:

x=500.

Fiction books = 500.

Non fiction books = 3x=3\times 500=1500.

Therefore, the number of fiction books is 500 and non fiction books is 1500.

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The heights of North American women are nor-mally distributed with a mean of 64 inches and a standard deviation of 2 inches. a.
serious [3.7K]

Answer:

0.1587

Step-by-step explanation:

Given the following :

Mean (m) of distribution = 64 inches

Standard deviation (sd) of distribution = 2 inches

Probability that a randomly selected woman is taller than 66 inches

For a normal distribution :

Z - score = (x - mean) / standard deviation

Where x = 66

P(X > 66) = P( Z > (66 - 64) / 2)

P(X > 66) = P(Z > (2 /2)

P(X > 66) = P(Z > 1)

P(Z > 1) = 1 - P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 ( from z distribution table)

1 - P(Z ≤ 1) = 1 - 0.8413

= 0.1587

5 0
3 years ago
Use the Binomial Theorem to find the indicated coefficient or term.
Dmitriy789 [7]

Answer:

ans: coefficient of 3rd term is 60

3rd term is 60x

Step-by-step explanation:

(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²

= 3 × 5 × 4 × x

= 60x

8 0
3 years ago
He length of a rectangle is three times its width. The perimeter of the rectangle is at most 112 cm.
g100num [7]
The equation relating length to width
L = 3W
The inequality stating the boundaries of the perimeter
LW <= 112
When you plug in what L equals in the first equation into the second equation, you get
3W * W <= 112
evaluate
3W^2 <= 112
3W <= 4 \sqrt{7}
W <= \frac{4 \sqrt{7} }{3} cm
8 0
3 years ago
Read 2 more answers
Line P R and Line Q S are diameters of circle T. What is the measure of Arc S R?
a_sh-v [17]
100 is the correct answer to your question
4 0
2 years ago
6. An ostrich cannot fly, but it is able to run fast. Suppose an ostrich runs east for 7.95 s and then runs 161 m south, so that
Liula [17]

Answer:

159 m

Step-by-step explanation:

From the information given:

It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.

Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.

Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.

We are to find, the magnitude of the ostrich's eastward component.

i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.

Using the Pythagoras rule:

ES² = OE² + OS²

226² = OE² + 161²

226² -  161² = OE²

OE²  =  226² -  161²

OE²  = 51076 - 25921

OE²  =  51076 - 25921

OE²  =  25155

OE = \sqrt{25155}

OE =  158.60 m

OE ≅ 159 m

Thus, the magnitude of the ostrich's towards the eastward component. = 159 m.

4 0
3 years ago
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