What is f(3) for the function f(x)=6x+5?

boyakko [2]

The answer is it is a statistic because the value describes a characteristic of a sample.

3 0

3 years ago

A verity pack of juice includes five bottles of grape juice and several bottles of apple juice use G to represent the cost of ea

Damm [24]

Answer:

$15G+21a$

Step-by-step explanation:

Let G represent cost of each bottle of grape juice and a represent the cost of each bottle of apple juice.

We have been given that a verity pack of juice includes 5 bottles of grape juice and 7 bottles of apple juice.

The cost of 5 bottles of grape juice would be $5G$ and cost of 7 bottles of apple juice would be $7a$ .

Since one verity pack includes 5 bottles of grape juice and 7 bottles of apple juice, so cost of one variety pack would be $5G+7a$ .

The expression for total cost of three verity packs would be three times cost of one verity pack that is $3(5G+7a)$

Let us simplify our expression as:

$3*5G+3*7a\Rightarrow 15G+21a$

Therefore, our required expression would be $15G+21a$ .

6 0

3 years ago

Research has suggested that musicians process music in the same cortical regions in which adolescents process algebra. When taki

svet-max [94.6K]

Answer:

c. an observed difference is 0.12 and P < 0.0001

Step-by-step explanation:

Let p1 be the proportion of the students who received musical instruction received a passing grade

Let p2 be the proportion of the students who didn't receive musical instruction received a passing grade

Null and Alternative hypotheses are:

$H_{0}$ : p1-p2=0

$H_{a}$ : p1-p2≠0

Test statistic can be found using the equation:

$z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of the students who received musical instruction received a passing grade ( $\frac{2818}{3239} =0.87$ )

p2 is the sample proportion of the students who didn't receive musical instruction received a passing grade ( $\frac{2091}{2787} =0.75$ )

p is the pool proportion of p1 and p2 ( $\frac{2818+2091}{6026}=0.81$ )

n1 is the sample size of the students who received musical instruction (3239)

n2 is the sample size of the students who didn't receive musical instruction (2787)

Thus, $z=\frac{0.87-0.75}{\sqrt{{0.81*0.19*(\frac{1}{3239} +\frac{1}{2787}) }}}$ ≈ 11.84 gives p-value < 0.0001

Observed difference is: 0.87-0.75=0.12

5 0

4 years ago

Find the value of b that makes <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2Bbx%2B%5Cfrac%7B9%7D%7B4%7D%20" id="TexFormu

ahrayia [7]

Perfect square trinomial is like

(x+4)^2=x^2+8x+16
they are represented as such
ax^2+bx+c
so to solve for b you do
(√c) times 2=b so

c=9/4
square root=3/2 because 3/2 times 3/2=9/4
(√(9/4)) times 2=(3/2) times 2=6/2=3
so b=3

x^2+3x+(9/4)
if factored, it gives
(x+(3/2))(x+(3/2)) or
(x-(3/2))(x-(3/2))

if this equation is equal to 0 then x=-3/2 or 3/2

the value is 3

3 0

3 years ago

Please help!!! (link attached)

Softa [21]

The slope is -5!

Explanation:
Start from the top point and you count down until you’re on the same line as the other dot. You should have counted down 5 and over 1. 5/1. The line is negative, therefore it’s -5!

8 0

3 years ago