A student’s work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.

A correlation where the x-value increases and the y-value increases is called a __________. zero correlation correlation positiv

ch4aika [34]

Answer:

the answer is positive correlation

6 0

4 years ago

The function A(b) relates the area of a trapezoid with a given height of 12 and

Flura [38]

Answer:

$B(a)=\frac{a}{6}-9$

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

$A(b)=12(\frac{b+9}{2})$

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

$A=6(b+9)$

Divide by 6 both sides

$\frac{A}{6}=b+9$

subtract 9 both sides

$\frac{A}{6}-9=b$

Rewrite

$b=\frac{A}{6}-9$

Convert to function notation

$B(a)=\frac{a}{6}-9$

5 0

3 years ago

Imagine that yourfriend missed the lesson on how to solve a system of equations using the substitution method. You want to help

Lana71 [14]

A system of equations is a collection of two or more equations with the same variables. When solving this system, u need to find the unknown variables. One way of solving a system of equations is by substitution.

example :

2x + 2y = 6 (equation 1)
3x + y = 4 (equation 2)

we need to pick a variable and isolate it. The easiest one to pick since it is already by itself is the y in the second equation.
3x + y = 4.....subtract 3x from both sides
y = -3x + 4

now we can sub -3x + 4 in for y in the 1st equation...u have to make sure u sub it back into the 1st equation and not the same equation u used to find it.

2x + 2y = 6.....sub in -3x + 4 in for y and solve for x
2x + 2(-3x + 4) = 6...distribute thru the parenthesis
2x - 6x + 8 = 6...subtract 12 from both sides
2x - 6x = 6 - 8...simplify
-4x = -2...divide both sides by -4
x = -2/-4
x = 1/2

now that we have a numerical number for x, u can sub this back into either of ur equations to find a numerical answer for y.

y = -3x + 4...when x = 1/2
y = -3(1/2) + 4
y = -3/2 + 4
y = -3/2 + 8/2
y = 5/2

so ur solution is : (1/2,5/2) <===

and u can check ur answers by subbing them into ur equations to see if they satisfy both equations...because for it to be a solution to this system, it has to satisfy both equations and not just one of them

5 0

3 years ago

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 $p = \frac{1}{33}$