All categories

3 years ago

10. Find the range of possible values for the variable.

Mathematics

1 answer:

Lapatulllka [165]3 years ago

4 0

The range of possible values for the variable is x < 12

From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.

30 > 3x - 6

Swap sides

3x - 6 < 30

Add 6 to both sides

3x - 6 + 6 < 30 + 6

3x < 36

Divide both sides by 3

3x/3 < 36/3

x < 12

Hence the range of possible values for the variable is x < 12

Learn more on inequality expression here: brainly.com/question/24372553

You might be interested in

Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your

coldgirl [10]

X-intercept is -1 implies line passes through (-1,0).
So point slope form is

y - 0 = -2 (x -(-1) )

>> y = -2 (x +1) <----- FINAL ANSWER

8 0

3 years ago

Read 2 more answers

X/4 - y/3 =1 X and Y axis standard form

Semenov [28]

Answer:

Step-by-step explanation:

x/4 - y/3 = 1..multiply everything by the LCD....which is 12

3x - 4y = 12 <== standard form

=====================================

if it makes it easier for u, x/4 is the same as (1/4)x and y/3 is the same as (1/3)y

so ur problem can be written as : (1/4)x - (1/3)y = 1....multiply by 12

12(1/4)x - 12(1/3)y = 12(1)

(12/4)x - (12/3)y = 12.....reduce

3x - 4y = 12

5 0

3 years ago

-286 divided by 457.6 what is the quotient?

kompoz [17]

The quotient is -0.625

3 0

3 years ago

Which tool helps an artist organize pieces of an image?

Vika [28.1K]

Answer: the answer will be selection

6 0

3 years ago

Read 2 more answers

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales

mihalych1998 [28]

Answer:

We conclude that the mean number of calls per salesperson per week is more than 37.

Step-by-step explanation:

We are given that the Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors.

To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls.

Let $\mu$ = true mean number of calls per salesperson per week.

SO, Null Hypothesis, $H_0$ : $\mu \leq$ 37 {means that the mean number of calls per salesperson per week is less than or equal to 37}

Alternate Hypothesis, $H_A$ : $\mu$ > 37 {means that the mean number of calls per salesperson per week is more than 37}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean number of calls made last week = 40

s = sample standard deviation = 5.6 calls

n = sample of sale representatives = 41

So, test statistics = $\frac{40-37}{\frac{5.6}{\sqrt{41} } }$ ~ $t_4_0$

= 3.43

Hence, the value of test statistics is 3.43.

Now at 0.025 significance level, the t table gives critical value of 2.021 at 40 degree of freedom for right-tailed test. Since our test statistics is more than the critical value of t as 3.43 > 2.021, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the mean number of calls per salesperson per week is more than 37.

4 0

3 years ago