Which value of x makes this equation true -5(x - 20) = 35

Answers

Answer 1

Answer:

The value of $x$ that makes the equation true is $$x = 13$.$

To find the value of $x$ that makes the equation $-5(x - 20) = 35$ true, you need to simplify the equation and solve for $x$. Let's break down the steps:

1. **Distribute the -5 on the left side:**

$-5(x - 20) = 35$

$-5x + 100 = 35$

2. **Move the constant term (100) to the right side by subtracting 100 from both sides:**

$-5x = -65$

3. **Finally, divide both sides by -5 to solve for $x$:**

$x = (-65)/(-5)$

$x = 13$

To verify, substitute $x = 13$ back into the original equation:

$-5(13 - 20) = 35$

$-5(-7) = 35$

$35 = 35$

The equation is true when $x = 13$.

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Answer 2

Answer:

Answer:

x=13

Step-by-step explanation:

Divide both sides by -5 then solve the equation for x

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−5y=−5 THANKS 7x+6y=7 Is (5,1) a solution of the system?

If a function is defined by the formula y=1/2x + 3 and its domain is given by the set {-4,0,8}, then which of the following sets gives the function's range?

Answers

Answer:

y = {1, 3, 7}

Step-by-step explanation:

Given

y = ½x + 3

Domain: {-4, 0, 8}

Required

Determine the range of the function

To do this, we simply substitute each value of the domain in the given expression

We start with the first

Substitute -4 for x in y = ½x + 3

y = ½ * -4 + 3

y = -2 + 3

y = 1

Then 0

Substitute 0 for x in y = ½x + 3

y = ½ * 0 + 3

y = 0 + 3

y = 3

Lastly, 8

Substitute 8 for x in y = ½x + 3

y = ½ * 8 + 3

y = 4 + 3

y = 7

Hence, the range of the function is:

y = {1, 3, 7}

Answer:1,3,7

Step-by-step explanation:

Eight times the difference of y and nine

Answers

Eight times the difference of y and nine will be 8(y - 9).

It should be noted that eight times the difference of y and nine simply means that one has to subtract 9 from y and then multiply the difference by 8.

Therefore, eight times the difference of y and nine will be 8(y - 9).

In conclusion, the correct option is 8(y - 9).

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Answer:

(y-9)8

Step-by-step explanation:

you first solve 8-9, and then multiply is by 8.

PLEASE HELP ME ASAP!

Answers

Answer:

Step-by-step explanation:

A

This is the correct answer

For each of the following four statements, indicate whether it is possible or not according to probability theory. Explain your answer. (1) The probability that a customer will buy 5 items in a single purchase is 30% ___________________________ (2) The probability that a customer will buy 3 items in a single purchase is 101% ___________________________ (3) The probability that a customer will buy 3 items in a single purchase is 99% ___________________________ (4) The probability that a customer will buy 8 item

Answers

Answer:

a) According to probability theory, the following are possible:

(1) The probability that a customer will buy 5 items in a single purchase is 30%. This represents a 0.30 chance of the customer buying 5 items.

(3) The probability that a customer will buy 3 items in a single purchase is 99% This means that there a 0.99 chance that the customer will buy 3 items.

b) According to probability theory, the following are not possible:

2) The probability that a customer will buy 3 items in a single purchase is 101%. Probability is always equal to 1 or 100%. It cannot exceed 100%.

(4) The probability that a customer will buy 8 item. This part lacks the necessary information to solve the problem.

Step-by-step explanation:

Probability describes the likelihood or chance of an event happening out of the many possible events that can take place. The sum of all probabilities for a particular event is always equal to 1. This shows that probability does not exceed 100%.

A publisher reports that 42%42% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 250250 found that 35%35% of the readers owned a particular make of car. Find the value of the test statistic. Round your answer to two decimal places.

Answers

Answer:

$z=\frac{0.35 -0.42}{\sqrt{(0.42(1-0.42))/(250)}}=-2.24$

Step-by-step explanation:

Data given and notation

n=250 represent the random sample taken

$\hat p=0.35$ estimated proportion of readers owned a particular make of car

$p_o=0.42$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that that the percentage is actually different from the reported percentage.:

Null hypothesis: $p=0.42$

Alternative hypothesis: $p \neq 0.42$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{(p_o (1-p_o))/(n)}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.35 -0.42}{\sqrt{(0.42(1-0.42))/(250)}}=-2.24$

8=16-8n Solve for N
N=

Answers

Answer:

N=1

Step-by-step explanation:

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