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3 years ago

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Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

Step-by-step explanation:

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Can you correctly identify this triangle?<br><br>

yan [13]

Answer:

Isosceles triangle

Step-by-step explanation:

Any triangle whose two sides or two angles are equal is called an isoscl triangle

5 0

3 years ago

Read 2 more answers

g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control

Rudiy27

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that $p = \frac{1}{33}$

A local hospital randomly selects five births.

This means that $n = 5$

What is the probability that at least one of the births results in a defect?

This is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426$

0.1426 = 14.26% probability that at least one of the births results in a defect.

4 0

3 years ago

Select the correct answer from each drop-down menu.

andrezito [222]

The answer is x - 5

To solve (x^2 - 8x + 15) /(x - 3) you factor the numerator and denominator and cancel the common factors.

6 0

4 years ago

The volume of the prism shown is 72 inches cubed.

Bogdan [553]

Answer:24 inches cubed

Step-by-step explanation:

Pyramids with the same base and height of a rectangular prism are 1/3 the volume. So 72/3=24 inches cubed

7 0

4 years ago

Read 2 more answers

1. Describe the translation you performed on the original triangle. Use details and coordinates to explain how the figure was tr

Nikolay [14]

Answer:

Describe the translation you performed on the original triangle. Use details and coordinates to explain how the figure was transformed, including the translation rule you applied to your triangle. I translated my original figure 11 units to the left and 3 units up. The translation rule was (x, y) -> (x+11, y+3).

Step-by-step explanation:

7 0

3 years ago

Please help >I really need help ​

Please help >I really need help