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vladimir2022 [97]

3 years ago

6

Give the slope of each of these items

1 answer:

Whitepunk [10]3 years ago

7 0

Where/what slopes are I talking about?

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A dining set is priced at $785. If the sales tax is 9 percent, what is the cost to purchase the dining set? Round to the nearest

VLD [36.1K]

Answer:

$855.65

Step-by-step explanation:

Multiply 785 by 0.09 to get the sales tax amount which is 70.65.

Add the sales tax amount to the price of the dining set to get cost after tax.

4 0

3 years ago

The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope

elena55 [62]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the average life of light bulbs.

As per given , we have

Null hypothesis : $H_0 : \mu =5400$

Alternative hypothesis : $H_a : \mu >5400$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=95,\ \overline{x}=5483\ \&\ \sigma=500$ , we have

$z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180$

Using z-value table , Critical one-tailed test value for 0.06 significance level :

$z_{0.06}=1.5548$

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0

3 years ago

Expression.is of what number? Write a division expression to match this question.

nirvana33 [79]

3/4 is 1/3 of what number?

For this problem we just need to do the following division:

$\frac{x}{3}=\frac{3}{4}$

And we can solve for the value of x desired and we got multiplying both sides by 3:

$x=3(\frac{3}{4})=\frac{9}{4}$

So then we can conclude that 3/4 is 1/3 of 9/4

Answer: 9/4

Expression:

$\frac{x}{3}=\frac{3}{4}$

3 0

1 year ago

Convert the fraction 3/11 to a decimal using long division

Dvinal [7]

0.27

so three divided by eleven is 0.27272727272727272727272727272727........so on and so forth.

7 0

3 years ago

Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using

NikAS [45]

Answer:

$y=\frac{1}{3} x+6$

Step-by-step explanation:

$(3,7)(-6,4)$

Step 1. Find the slope (by using the slope-formula)

m = slope

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{4-7}{-6-3}$

$m=\frac{-3}{-9}$

$m=\frac{3}{9}$

$m=\frac{1}{3}$

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula $y=mx+b$ whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

$y=\frac{1}{3} x+b$

Find the y-intercept (b) by using a point and substituting their x and y values

$y=\frac{1}{3} x+b$

Point: (3, 7)

$7=\frac{1}{3} (3)+b$

$7=1+b$

$b=7-1$

$b=6$

Step 3. Write the equation in Slope-intercept form

$y=mx+b$

$y=\frac{1}{3} x+6$

3 0

2 years ago