All categories

3 years ago

Lin solved the equation 8(x-3)+7=2x(4-17) incorrectly. Find the errors in her solution. What should her answer have been?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer: The correr solution is $x=\frac{17}{34}$

Step-by-step explanation:

Since the steps in Lin's solution are not shown, we are not able to find her erros. However, we can solve it step by step and find the correct result:

$8(x-3)+7=2x(4-17)$

Firstly, in the left part of the equation we have to multiply $8$ by the numbers inside the parenthesis; and in the right side we have to solve first what is inside the parenthesis:

$8x-24+7=2x(-13)$

Adding similar terms in the left side and multiplying $2x$ by the number inside the parenthesis in the right side:

$8x-17=-26 x$

Isolating $x$ :

$x=\frac{17}{34}$ This is the correct solution

You might be interested in

A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

5 0

4 years ago

Suppose that a point (X,Y) us chosen at random from the rectangle S defined as follows: S={(x,y) : 0<= x <=2 and 1<=y&l

mrs_skeptik [129]

For a 19 foot scale find the frequency of a note to the frequency of the preceding note?

7 0

3 years ago

will mark BRAINLIEST for correct answer. Find the sum. In your final answer, include your calculations. -3.45 + 5.1

Alexeev081 [22]

Answer:

-3.45+5.1=1.65

Step-by-step explanation:

You could use a calculator (just sayin)

4 0

3 years ago

Read 2 more answers

The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the

Blizzard [7]

Answer:

Step-by-step explanation:

Given that:

Cost of purchase and installation = 5323.50

Cost per window = 230.25

Cost of installation = 2100

Hence,

Total purchase cost of windows alone :

5323.50 - 2100 = 3,223.50

Therefore, the number of windows purchased is :

(Total purchase cost of windows alone / price per window)

(3,223.50 / 230.25)

= 14

Hence, 14 windows was purchased

7 0

3 years ago

In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probabilit

kondor19780726 [428]

Answer:

22/29

Step-by-step explanation:

Idk

6 0

3 years ago