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3 years ago

I'd really appreciate it if anyone could help! :)

Mathematics

2 answers:

Vaselesa [24]3 years ago

4 0

From left to right of the pictures it's the 3rd photo. It's the 3rd photo because it passes the vertical line test witch means if a vertical line was drawn within the middle of the graph it would only pass through one line and not two. The other ones would pass through two lines instead of one. I hope this helped you!

PSYCHO15rus [73]3 years ago

3 0

C (third graph, the parabola); To find if it is a function or not draw a vertical line on the graph. If the vertical line could never intercept the figure more than once anywhere on the graph then it is a function.

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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

A cafeteria worker knows that it takes 3 bottles of juice to serve

marin [14]

Number of bottles of juice are needed for 24 students = 4

Number of bottles of juice are needed for 42 students = 7

<h3><u>Solution:</u></h3>

Given that cafeteria worker knows that it takes 3 bottles of juice to serve a table of 18 students

1) Number of bottles of juice are needed for 24 students

2) Number of bottles of juice are needed for 42 students

Since its given that 3 bottles of juice to serve a table of 18 students

So, number of bottles required for one student is given as:

Let "a" be the number of bottles required for one student

18 students ⇒ 3 bottles

1 student ⇒ "a" bottles

On cross multiplication we get,

$18 \times a = 3 \times 1\\\\a = \frac{3}{18} = \frac{1}{6}$

<h3><em><u>Finding number of bottles of juice are needed for 24 students:</u></em></h3>

number of bottles of juice are needed for 24 students = 24 x number of bottle required for 1 student

$\text {number of bottles of juice are needed for 24 students }=24 \times \frac{1}{6}=4$

<h3><em><u>Finding number of bottles of juice are needed for 42 students:</u></em></h3>

number of bottles of juice are needed for 42 students = 42 x number of bottle required for 1 student

$\text {number of bottles of juice are needed for 42 students }=42 \times \frac{1}{6}=7$

3 0

4 years ago

The least common denominator of two fractions is 20. If you subtract the two denominations, you get 1. What are the denominators

LekaFEV [45]

Steps
find the Least Common Multiple of the denominators (which is called the Least Common Denominator).

Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.

Then add (or subtract) the fractions, as we wish!
your denominators stay the same so its 20

6 0

3 years ago

On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought

elena-s [515]

Answer: 180 people

I hope i helped you! I wish you luck on the test!

6 0

3 years ago

Given the formula k = Lmn what is the formula for m

Luden [163]

$\sf Solve \ for \ m \\ \\ k = lmn \\ \\ Flip \ equation \\ \\ lmn = k \\ \\ Divide \ both \ sides \ by \ ln \\ \\ \dfrac{lmn}{ln} = \dfrac{k}{ln} \\ \\ m = \dfrac{k}{ln}$

8 0

4 years ago

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