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3 years ago

Suppose f(x)=x^2-2 find the graph of f(1/2x)

Mathematics

2 answers:

prisoha [69]3 years ago

5 0

Comment has been deleted

Scorpion4ik [409]3 years ago

3 0

Answer:

graph g(x)=1/4 x^2 - 2

Step-by-step explanation:

You are to replace x with (1/2x) in the expression x^2-2

So you have (1/2x)^2-2

1/4 x^2-2

Graph some points for g(x)=1/4 x^2-2

The vertex is (0,-2) and the parabola is open up.

I would graph 2 more points besides the vertex

x | g(x) ordered pairs to graph

----------- (-1,-1.75) and (0,-2) and (1,-1.75)

-1 -1.75

0 -2

1 -1.75

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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

The frequency table shows the results of tossing a number cube 50 times. Which statement

Paul [167]

Answer:

Option (1) is the correct option.

Step-by-step explanation:

From the given frequency table,

Option (1).

Tossing an even number is more likely than tossing an odd number.

Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9

Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7

Which shows frequencies of tossing even numbers are more.

Therefore, Option (1) is correct.

Option (2)

The number 2 will be the next number tossed.

Since it is unpredictable, therefore, this option is incorrect.

Option (3)

Number 4 is half as likely to be tossed as the number 3.

Frequency of tossing number 3 = 6

Frequency of tossing 4 = 10

Frequency of tossing 3 is not the half of tossing 4.

Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 = $\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}$

= $\frac{10}{8+10+6+10+7+9}$

= $\frac{10}{50}$

= $\frac{1}{5}$

Therefore, option (4) is incorrect.

3 0

3 years ago

What is an equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1)

marin [14]

Answer:

y= -5x - 21

Step-by-step explanation:

parallel lines have the same slope, so you know the slope.

you need to use the point slope formula y-y1=m(x-x1)

with this equation, this looks like y - -1 =- 5(x - -4)

double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)

distribute the -5. you should get y + 1 = -5x - 20

subtract 1 to move it from the left side to the right and you get your answer!

y = -5x - 21

6 0

3 years ago

Write the equation 9y = 12x + 0.2 in standard form. Identify A, B, and C.

uysha [10]

Answer:

A = -12, B = 9 and C = .2

Step-by-step explanation:

So it just looks like we need to use algebra to move everything around to get it in the form Ax + By = C

So, let's start with 9y = 12x + 0.2. From standard form we have all terms wth variables on one side, so let's do that. the right sie has both a variable term and non variable term, so let's get rid of the variable term. The variable term is 12x, so to get rid of it you subtract 12x from both sides.

9y = 12x + 0.2

9y - 12x = 0.2

To make it exactly in standard form just rarrnge.

-12x + 9y = 0.2

So now we have A = -12, B = 9 and C = .2

5 0

3 years ago

There are some nickels dimes and quarters in a large piggy bank for every two nickels there are 3 dimes for every two dimes that

creativ13 [48]

We are given

piggy bank has nickels , dimes and quarters

Let's assume