A researcher wants to know if the average time in jail for robbery has increased from what it was when the average sentence was 7 years. he obtains data on 400 more-recent robberies and finds an average time served of 7.5 years. find a 95% confidence interval for the average time served (assume jail time follows a normal distribution with standard deviation 3 years).

Answer:

Option B

Step-by-step explanation:

The given equation function is f(x) =[tex]\sqrt{x-3}[/tex]

Domain of this function will be determined by (x-3) ≥ 0

because square root of negative numbers is not defined.

Option B is the answer.

The two expressions 17x−13y+8 and 20x+6y can be rewritten as a difference to be -3x - 19y + 8.

To rewrite the two expressions 17x−13y+8 and 20x+6y as a difference, you can first list them separately and then combine by subtraction.

17x - 13y + 8

and

20x + 6y

. The difference between these two expressions is obtained by performing the subtraction as follows: (17x - 13y + 8) - (20x + 6y). Now, you can simplify this by removing the parentheses and switching the sign of the terms being subtracted, which results in:

17x - 13y + 8 - 20x - 6y

. Finally, you combine like terms, x-terms with x-terms and y-terms with y-terms, ending up with:

-3x - 19y + 8

which is the simplified difference of the two expressions.

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This could be answered by using the distributive property.

This is an algebra property which is done to multiply a particular term and two or more terms in a set of parentheses.

So for our problem, 6 (3 + 9):

You first, multiply 6 x 3 = 18

And multiply 6 x 9 = 56

Thus, the answer is 18 + 56 = 72

But following the order of operations, you should add first the number inside the parenthesis and then multiply it to the number outside the parenthesis but it will the same answer still. (6 x 12 = 72)

Answer:

18 + 54

Step-by-step explanation:

Take 6 x 3 = 18

6 x 9 = 54

Answer is 18+54

to check answer 18 + 54 = 72

6(3+9)

6(12)= 72  

cubic inches or inches³ would we use to describe the volume of a box measured in inches.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law

Volume is the measure of the 3-dimensional space occupied by matter, or enclosed by a surface, measured in cubic units.

As volume we measure by using three dimensions so the unit will be in cubics.

If we have to measure volume of box in inches then it will be cubic inches or inches³.

Hence cubic inches or inches³ units would we use to describe the volume of a box measured in inches.

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Given that, a bike wheel is 26 inches in diameter.

We need to convert bike wheel's diameter in millimeters .

Since, 1 inch = 25.4 millimeters.

So, to convert 26 into mm we need to multiply 26 each sides of this identity to convert this into mm. Hence,

1*26 inch = 25.4 * 26 mm.

So, 26 inches = 660.4 mm.

So, the bike wheel's diameter is 660.4 millimeters.

Hope this helps you!

The bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.

To convert a bike wheel's diameter from inches to millimeters,

we have to use the conversion factor, which is,

1 inch = 25.4 millimeters.

Now multiplying the diameter of the bike wheel,

which is given as 26 inches,

by the conversion factor of 25.4 millimeters per inch.

⇒ 26 inches x 25.4 millimeters per inch = 660.4 millimeters

Therefore, the diameter of the bike wheel in millimeters is 660.4 millimeters.

Therefore, we can convert inches to millimeters by multiplying by 25.4, which is the number of millimeters in one inch.

In this case, the bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.

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After burning 6 hours the candle will be 4 1/2 in. tall.

Answer:

x^2 = a/b

Step-by-step explanation:

[tex]\frac{\sqrt{a}}{\sqrt{b} } =x[/tex]

If we have square root at the top and bottom then we take single square root with fraction inside

[tex]\sqrt{\frac{a}{b}} =x[/tex]

To remove square root we take square on both sides because square and square root will get cancelled

[tex]\frac{a}{b}=x^2[/tex]

x^2 = a/b is true

The statement that must be true is:

[tex]x^2 = a/b[/tex]

To find an equivalent expression, we just need to rewrite the given expression.

Here we will use the fact that the square root is distributive with respect to the division, which means that we can rewrite:

[tex]\frac{\sqrt{a} }{\sqrt{b} } = x\\\\\sqrt{\frac{a}{b} } = x[/tex]

Now if we square both sides of that expression, we will get:

[tex]\sqrt{\frac{a}{b} }^2 = x^2\\\\\frac{a}{b} = x^2[/tex]

So we can see that the correct option is A.

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Answer: A:<CED is a right angle

B: <CEA is a right angle

D: m<CEB=m<BEA

E: m<DEB=135

Step-by-step explanation

Answer:

160 stamps

Step-by-step explanation:

Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10

The new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9

9(3x+10)=7(5x-10)

27x+90=35x-70

160=8x

x=20

So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have

Answer: 0

Step-by-step explanation:

From then given graph , it can be seen that the line is parallel to x axis passing through [tex]y=-2[/tex].

We know that if two lines are paralleled then they have equal slope.

We know that the slope of x-axis is 0.

[∵[tex]\text{Slope=}\dfrac{\text{Change in y coordinates}}{\text{Change in x coordinates}}=\dfrac{0}{\text{Chnage in x coordinates}}=0[/tex]]

Hence, the slope of the given line =0

Answer:

180

Step-by-step explanation:

hope this helps you

Answer:

180 90plus90

Step-by-step explanation:

Answer:

y <  [tex]\frac{2}{3}[/tex]x -1 .

Step-by-step explanation:

Given : Graph.

To find : Which linear inequality is represented by the graph.

Solution : We have given graph with shaded down .

We know that if the graph is shaded down then equation of inequality has less than sign.

On comparing with line slope form y = mx +b.

Where m = slope  and b = y intercept ( where the graph line cut at y axis)

Then b = -1  and slope  = [tex]\frac{2}{3}[/tex].

Then equation become

y <  [tex]\frac{2}{3}[/tex]x -1 .

Therefore, y <  [tex]\frac{2}{3}[/tex]x -1 .

The value of the equation 1429/237.

Let's solve for x in the given equation:

[tex]\[23 = 79(6x - 36) + 9\][/tex]

First, distribute the 79 on the right side:

[tex]\[23 = 474x - 2844 + 9\][/tex]

Combine like terms:

[tex]\[23 = 474x - 2835\][/tex]

Now, isolate the term with x by adding 2835 to both sides:

[tex]\[474x = 2858\][/tex]

Finally, divide both sides by 474 to solve for x:

[tex]\[x = \frac{2858}{474}\][/tex]

Now, you can simplify the fraction:

[tex]\[x = \frac{1429}{237}\][/tex]

So, the solution for x is [tex]\(x = \frac{1429}{237}\).[/tex]

Final answer:

To solve the equation, distribute the 79 on the right side, combine like terms, and then isolate and solve for x to get x = 6.05.

Explanation:

To solve the equation 23=79(6x−36)+9, we first expand the right side of the equation and then isolate the term with x on one side.

First, distribute the 79:

23 = 79(6x) - 79(36) + 9,

which simplifies to:

23 = 474x - 2844 + 9.

Combine like terms:

23 = 474x - 2835.

Now, add 2835 to both sides to isolate the term with x:

2868 = 474x.

Finally, divide both sides by 474 to solve for x:

x = 2868 / 474.

After performing the division, we find that x = 6.05.

for plato the answer is, c. get a real-estate appraisal

posting this for future users!