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3 years ago

Can someone answer this question pls!

Mathematics

1 answer:

Elza [17]3 years ago

8 0

Hi there,

With this you will have to do this 12^2+3^2= C^2

144+9= c and with that you add those two together and you'll get 153.

Hypotenuse is the Pythagorean Theroem.

So your answer to this is CD=153

Hope this is correct :)

Have a great day

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3 years ago

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In a class of 100 students, 25 have hardcover and 75 students have paperback textbooks. If you randomly choose 15 students in th

Gnom [1K]

Answer:

23.72% probability that 3 of them have hardcover texts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

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

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

If you randomly choose 15 students in this class, find the probability that 3 of them have hardcover texts.

Desired outcomes:

3 with hardcover texts, from a set of 25.

15-3 = 12 with paperback texts, from a set of 75. So

$D = C_{25,3}*C_{75,12} = \frac{25!}{3!(22)!}*\frac{75!}{12!(63)!} = 6 \times 10^{16}$

Total outcomes:

15 students from a set of 100. So

$T = C_{100,15} = \frac{100!}{15!85!} = 2.53 \times 10^{17}$

Probability:

$P = \frac{D}{T} = \frac{6 \times 10^{16}}{2.53 \times 10^{17}} = 0.2372$

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3 years ago

Find two positive numbers satisfying the given requirements. the sum of the first and twice the second is 240 and the product is

MArishka [77]

The two numbers are 120 and 60

Let's call the two numbers x and y. The first sentence translates into

$x+2y = 240$

from which we can derive

$x = 240-2y$

So, their product can be written as

$xy = (240-2y)y = 240y-2y^2$

This expression is a quadratic polynomial with negative leading coefficient, so it represents a parabola concave down. So, the vertex of the parabola is its maximum, which we can find as usual: given the parabola $ax^2+bx+c$ , its extreme point is located at $x = \frac{-b}{2a}$ .

So, in your case, since $a = -2$ and $b = 240$ , the maximum is located at

$y = \frac{-240}{-4} = 60$

Now that we know y, we can deduce the value of x:

$x = 240-2y \implies x = 240-120 = 120$

So, the two numbers are 120 and 60

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3 years ago

(ANSWER ASAP)lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is

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kozerog [31]

Answer:

1) I think the answer is A

2) (A), (D) (B) Those numbers are irrational because irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios of integers. (change some words please)

3) This number is irrational because irrational numbers are all the real numbers that are not rational.

4) 6/25

5) 0.875 since I can't show work, you divide 7 by 8

6) I don't know the answer, so maybe D and B ?

7) point A

8) 8.3 inches

9) I think it is the = I am not sure

10) Irrational because it has no pattern

Step-by-step explanation:

I really hope this helps and good luck. I tried my Best!

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