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2 years ago

A

Mathematics

1 answer:

kondor19780726 [428]2 years ago

4 0

Answer: 18.2

Step-by-step explanation:

$14^{2}+b^{2}=23^{2}\\b^{2}=23^{2}-14^{2}\\b=\sqrt{23^{2}-14^{2}} \approx \boxed{18.2}$

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The ancient Egyptians had to be skilled mathematicians to build their pyramids correctly. If they built a pyramid like the one b

Reptile [31]

Answer:

513333.33 cubic yards

Solution:

$\frac{1}{2} bh$

$\frac{1}{2} (110)(140)$

$=7700$

$V = 1/3AH$

$V = 1/3(7700)(200)$

$V=513333.33$

4 0

3 years ago

What is the volume of the figure?

Gelneren [198K]

144 cubic inches

Step-by-step explanation:

V=lwh

6x4=24

24x6=144

5 0

3 years ago

A—15 b-30 c-36 d-72asap

3241004551 [841]

Answer:

C 36

Step-by-step explanation:

1/2(base)(height)

1/2(8)(9)

1/2(72)

=36

8 0

3 years ago

Use special right triangles to solve for the exact value of x. 4 9 16

Gelneren [198K]

Answer: A basic theorem for finding the third length of a right angle triangle is the Pythagoras Theorem.

In a right angle triangle, the slant and usually longest side is called the Hypotenuse while the other two sides are Opposite and Adjacent.

The Pythagoras Theorem States:

$hypotenuse^{2} = opposite ^{2} + adjacent ^{2}$

Step-by-step explanation:

If for example, we are given the other two sides as 3 and 4 respectively,

Using

$Hyp^2=Opp^2+Adj^2$

$Hyp^2 =3^2+4^2=25$

Hypotenuse = $\sqrt{25}$ =5

These set of numbers (3,4,5) in this that satisfies the theorem are called Pythagorean Triples

7 0

4 years ago

Suppose that 30% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the ot

Softa [21]

Answer:

a. Mean = 4.5, Standard Deviation = 1.775

b. 0.0152

Step-by-step explanation:

Given

n = 15 purchasers

p = Success = 30%

p = 0.3

q =Failure = 70%

q = 0.7

Mean = np

Mean = 15 * 0.3

Mean = 4.5

Standard Deviation = √Variance

Variance = npq

Variance = 15 * 0.3 * 0.7

Variance = 3.15

Standard Deviation = √3.15

Standard Deviation = 1.774823934929884

Standard Deviation = 1.775 ---------- Approximated

The probability that the number who want new copies is more than two standard deviations away from the mean value

Standard Deviation = 1.775

Mean = 4.5

2 Standard Deviation and Mean = 2 * 1.775 + 4.5

= 3.55 + 4.5

= 8.05

P(X>8.05) = P(9) + P(10) +........+ P(15)

Using the binomial distribution

(p + q) ^ n where p = 0.3, q = 0.7 , n = 15

Expanding (p+q)^n where n = 15 and r > 8

We have

15C9 p^9 q^6 + 15C10 p^10 q^5 + 15C11 p^11 q⁴ + 15C12 p^12 q³ + 15C13 p^13 q² + 15C14 p^14 q + p^15

= 5005 (0.3)^9 (0.7)^6 + 3003 (0.3)^10 (0.7)^5 + 1365 (0.3)^11 (0.7)⁴ + 455 (0.3)^12 (0.7)³ + 105 (0.3)^14 (0.7)² + 15 (0.3)^14 (0.7) + 0.3^15

=0.015234

7 0

4 years ago