If the first step in the solution of the equation -9+x=5x-7 is "subtract x", then what should the next step be

Find B if the graph of the equation 3x=By+2 is perpendicular to the graph of 3y=-2x+4.

Romashka [77]

Answer:

B = $\frac{3x}{y}$ - $\frac{2}{y}$

8 0

3 years ago

The picture shows two sizes of shipping boxes with measurements in inches. The boxes are rectangular prisms. There are two recta

MakcuM [25]

Answer:

6

Step-by-step explanation:

7 0

3 years ago

If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per pe

Sonja [21]

Answer:

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

Step-by-step explanation:

Notation

Let X be the average contribution size before John makes his contribution.

Let Y be the total contribution size before John makes his contribution.

Let Z be John's contribution.

We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

$1.5 X = 75$

And solvong for X we got:

$X = \frac{75}{1.5}= 50$

Now we can find the total contribution before the donation with the following proportion:

$\frac{50}{1}= \frac{Y}{5}$

$Y = 250$

And then with the formula of average taking in count the 6 values we can find the size of donation Z like this:

$\frac{Y+Z}{6}= 75$

$\frac{250+Z}{6}= 75$

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

5 0

3 years ago

The average household income for a recent year was $30,000. five years earlier the average household income was $24,500. assume

ikadub [295]

Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis: There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis: There is evidence to believe that the average household income has increased.

H₁: μ₁ > μ₂

To check hypothesis we have the formula

Standard error= $\sqrt{\frac{s_{1} ^{2} }{n_{1} } + \frac{s^{2} _{2} }{n_{2} } }$

= $\sqrt{2067128.4706}$

= 1437.7512

Thus, standard error is $1437.7512.

Formula for test statistic = [(x₁⁻ - x₂⁻) - (μ₁ - μ₂)]/standard error

= [(30000 - 24500) - 0]/1437.7512

= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

brainly.com/question/15060525

#SPJ2

3 0

2 years ago

Find the absolute maximum value for the function f(x) = x^2 − 4, on the interval [–3, 0) U (0, 2].

Andreyy89

Answer:

5

Step-by-step explanation:

The function $y=x^2 -4$ is

decreasing for all $x\in [-3,0);$
is increasing for all $x\in (0,2]$

(see attached diagram for details).

The maximum value of the function is at endpoints -3 or 2. find y(-3) and y(2):

$y(-3)=(-3)^2-4=9-4=5\\ \\y(2)=4^2-4=0$

So, the maximum value is 5.

5 0

3 years ago