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3 years ago

Please help. I need to know the strategy, the correct work, and to identify the error.

Mathematics

1 answer:

zysi [14]3 years ago

7 0

Answer:

See below

Step-by-step explanation:

13x + 5 + 17x - 4.5 + x

NOTE: You can only add/subtract LIKE terms . Here we have variable terms in x (13x , 17x and x) and 2 constants ( 5 and 4.5).

Sarah's next line is

18x + 17x - 4.5 + x

This is incorrect . It looks like she added 13x + 5 and got 18x!! Which is of course wrong because they are NOT LIKE terms. 5 is a constant and 13x is a variable term in x.

The third line is correct:-

35x - 4.5 + x.

She has added the 2 variables 17x and 18x.

Fourth line is 30.5x + x. She's at it again - Trying to subtract 4.5 from 35x .

Last line 31.5x

She has added the 2 terms in x correctly, but the final answer is wrong of course due to the earlier errors.

You might be interested in

Wile E. Coyote is pursuing the Road Runner across Great Britain toward Scotland. The Road Runner chooses his route randomly, suc

Elina [12.6K]

Answer:

0.444

Step-by-step explanation:

The objective is to draw the tree diagram and find the probability that the roadrunner took the high road, given that he was caught.

The tree diagram is attached in the image below:

The required probability can be computed as:

$P(high\ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)} {P(caught)} \\ \\ P(high \ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)}{P(high \ road \ and \ caught)+P(low \ road \ and \ caught)}$

$P(high \ road \ | \ caught) =\dfrac{ 0.8*0.01 }{ 0.80*0.01 + 0.20*0.05} \\ \\ P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.008 + 0.01} \\ \\$

$P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.018}$

$\mathbf{P(high \ road \ | \ caught) = 0.444}$

8 0

3 years ago

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sa

Deffense [45]

Answer:

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

Step-by-step explanation:

Assuming this complete problem: "The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization's staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test

H0: p .45 vs H1: p < .45.

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.

Compute the p-value associated with this test. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry."

1) Data given and notation

n=50 represent the random sample taken

X=18 represent the number of women in the sample selected

$\hat p=\frac{18}{50}=0.36$ estimated proportion of women in the sample

$p_o=0.45$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of women is less than 0.45:

Null hypothesis: $p\geq 0.45$

Alternative hypothesis: $p < 0.45$

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

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

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

3) Calculate the statistic

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

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

4 0

3 years ago

What is the median of 7,3,4,7,5,6,5,5,4

kolezko [41]

Your median is 5 because that is the number that is mentioned the most.

A median is a number that i said the most.

And in the pic your median is 7.

Hope this helps you :0

4 0

3 years ago

Stan es.pdf Open u 1) Mary has more than 2 pennies in her pocket. + + + + + -5 -4 -3 -2 -1 0 1 2 3 4 5 Inequality: The dot is on

erik [133]

Step-by-step explanation:

All numbers belong to the set of numbers known as the real number system. The real number system consists of

every number you have ever dealt with since you were old enough to count. The numbers in the real number system

are divided into two main groups. One group is called the rational numbers and the other is called the irrational

numbers. The set of irrational numbers consists of all numbers that are not rational. This set of irrational numbers

includes those numbers that cannot be written as the ratio of two integers, non-remediate numbers.

and decimals that do not have a repeating pattern of digits. For example, pi(π),

√

2,−2.345876921... are irrational

numbers.

The set of rational numbers includes natural numbers, whole numbers, integers, numbers that can be expressed as

the ratio of two integers, a decimal number that terminates, and decimal numbers that have a repeating pattern of digits.

The natural numbers are the set of positive integers. For example, 1, 2, 3. . . are all natural numbers. The whole

numbers are the natural numbers and zero. For example, 0, 1, 2, 3. . . are all whole numbers. The integers are

the whole numbers and their opposites. For example, -2, -1, 0, 1, 2. . . are all integers. A rational number is any

number that can be expressed in the form of a

b where b 6= 0. When a rational number is expressed as a decimal, it

decimal will terminate (end) or For example, 1

√

81,−7.456 545 654 are

all rational numbers.

When you classify numbers remember that they can often belong to more than one set of numbers. If you think of

the number 3, you can call it a natural number, a whole number, an integer and a rational number.

The following table may help you to better understand the real number system.

8 0

3 years ago

Select the correct answer.

fomenos

The inverse function of f(x) is $f^{-1}(x) = \sqrt{x - 6}$ and the domain is x > 6

<h3>How to determine the inverse function?</h3>

The function is given as:

f(x) = x^2 + 6

Rewrite as:

y = x^2 + 6

Swap x and y

x = y^2 + 6

Subtract 6 from both sides

y^2 = x - 6

Take the square root

$y = \sqrt{x - 6}$

Rewrite as:

$f^{-1}(x) = \sqrt{x - 6}$

Hence, the inverse function of f(x) is $f^{-1}(x) = \sqrt{x - 6}$ and the domain is x > 6

Read more about inverse function at:

brainly.com/question/2541698

#SPJ1

7 0

2 years ago