I WILL MARK BRAINIEST<br> please answer correctly

What is the perimeter of a square when one side is .5 inches

kari74 [83]

Perimeter is all sides added together. A square all sides are equal. One side = .5 all sides do. So .5 x 4 = 2

8 0

3 years ago

Read 2 more answers

If the solution to y=4x+3 is (4,16) what would the steps needed to get (4,16) be?

Ainat [17]

<span>Simplifying x4 = 16
Solving x4 = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Simplifying x4 = 16
Reorder the terms: -16 + x4 = 16 + -16
Combine like terms: 16 + -16 = 0 -16 + x4 = 0
Factor a difference between two squares. (4 + x2)(-4 + x2) = 0
Factor a difference between two squares. (4 + x2)((2 + x)(-2 + x)) = 0
Subproblem 1

Set the factor '(4 + x2)' equal to zero and attempt to solve:
Simplifying 4 + x2 = 0 Solving 4 + x2 = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation. 4 + -4 + x2 = 0 + -4
Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4
Combine like terms: 0 + -4 = -4 x2 = -4
Simplifying x2 = -4
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve:
Simplifying 2 + x = 0 Solving 2 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2
Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Sub-problem 3

Set the factor '(-2 + x)' equal to zero and attempt to solve:
Simplifying -2 + x = 0 Solving -2 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation. -2 + 2 + x = 0 + 2
Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2
Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solutionx = {-2, 2}</span>

8 0

4 years ago

Find f(x) = 4x^2+ 9 if f(x) = -2. PLS HELP ME

matrenka [14]

Answer:

25

Step-by-step explanation:

Download pdf

8 0

3 years ago

The amount of warpage in a type of wafer used in the manufacture of integrated circuits has mean 1.3 mm and standard deviation 0

valina [46]

Answer:

a) $P(\bar X >1.305)=P(Z>\frac{1.305-1.3}{\frac{0.1}{\sqrt{200}}}=0.707)$

And using the complement rule, a calculator, excel or the normal standard table we have that:

$P(Z>0.707)=1-P(Z$

b) $z=-0.674$

And if we solve for a we got

$a=1.3 -0.674* \frac{0.1}{\sqrt{200}}=$

So the value of height that separates the bottom 95% of data from the top 5% is 1.295.

c) $P( \bar X >1.305) = 0.05$

We can use the z score formula:

$P( \bar X >1.305) = 1-P(\bar X$

Then we have this:

$P(z< \frac{1.305-1.3}{\frac{0.1}{\sqrt{n}}}) = 0.95$

And a value that accumulates 0.95 of the area on the normal distribution z = 1.64 and we can solve for n like this:

$n = (1.64*\frac{0.1}{1.305-1.3})^2= 1075.84 \approx 1076$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

Let X the random variable that represent the amount of warpage of a population and we know

Where $\mu=1.3$ and $\sigma=0.1$

Since the sample size is large enough we can use the central limit theorem andwe know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We can find the probability required like this:

$P(\bar X >1.305)=P(Z>\frac{1.305-1.3}{\frac{0.1}{\sqrt{200}}}=0.707)$

And using the complement rule, a calculator, excel or the normal standard table we have that:

$P(Z>0.707)=1-P(Z$

Part b

For this part we want to find a value a, such that we satisfy this condition:

$P(\bar X>a)=0.75$ (a)

$P(\bar X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.75 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.75

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.674$

And if we solve for a we got

$a=1.3 -0.674* \frac{0.1}{\sqrt{200}}=$

So the value of height that separates the bottom 95% of data from the top 5% is 1.295.

Part c

For this case we want this condition:

$P( \bar X >1.305) = 0.05$

We can use the z score formula:

$P( \bar X >1.305) = 1-P(\bar X$

Then we have this:

$P(z< \frac{1.305-1.3}{\frac{0.1}{\sqrt{n}}}) = 0.95$

And a value that accumulates 0.95 of the area on the normal distribution z = 1.64 and we can solve for n like this:

$n = (1.64*\frac{0.1}{1.305-1.3})^2= 1075.84 \approx 1076$

6 0

3 years ago

If f(x)= -3x + 1, then f^-1(x)=

UNO [17]

Answer:

f^-1(x) = (x-1)/-3

Step-by-step explanation:

Invert equation:

Describe X in original function:

multiplied by -3

add 1

Reverse order:

subtract 1

divide by -3

8 0

3 years ago

I WILL MARK BRAINIEST please answer correctly