Graph the line with the equation y= - 1/4x -7?

Mathematics

1 answer:

Reil [10]3 years ago

4 0

Answer:

just go down negative 7 on the y int and that's ur starting point, then go down -1 and over 4 to the right, repeat this step 2 or 3 times then draw ur line.

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The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p

VLD [36.1K]

Answer:

$3.13$

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

$\chi^2_{1-\frac{\alpha}{2}}= 51.770$

Chi square critical value for upper tail =

$\chi^2_{\frac{\alpha}{2}}= 81.085$

80% confidence interval:

$\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}$

Putting values, we get,

$=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13$

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

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3 years ago

A man invested one fifth of his money at 4%, half of his money at 5%, and the rest of his money at 3.5%. If his total annual inv

Ksivusya [100]

The man invested 1/5 of the money at 4/100. Which says he earns 4/500 of his total money on one month.

He also invested 1/2 of the money at 5/100. Which means he earns 5/200 of his total money per month.

For the last part, he spent the rest of the money which is: x + 1/5 + 1/2 = 1
Make the denominators equal: x + 2/10 + 5/10 = 10/10
Add like terms: x + 7/10 = 10/10
Substract 7/10: x=3/10

He gave this money for 3.5/100 interest. Which equals 10.5/1000 of his total money.

When you add the three values: 4/500 + 5/200 + 10.5/1000
Make denominators equal: 8/1000 + 25/1000 + 10.5/1000
Add the like terms: 43.5/1000

This means the man's money's 43.5/1000 is equal to $870

Set the values equal: 43.5x/1000 = 870
Make the denominators equal: 43.5x/1000 = 870,000/1000
Multiply with 1000: 43.5x = 870,000
Divide both sides by 43.5: x = 20,000

The man's total money is $20,000

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4 years ago

Which sequence is ARITHMETIC? A) {0, 1, 4, 9,...} B) {0, 4, 7, 11,...} C) {-3, 2, 7, 12,...} D) {2, 1, 0.5, 0.25, ...}

Igoryamba

The answer is C. -3,2,7,12

I hope this helps!!!!!!!!