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Sergeu [11.5K]
3 years ago
7

Twelve inches is cut from a board. The remaining board is 18 inches long. How long was the board before it was cut? Write only t

he number.
Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

Total length  = Amount cut off +  amount remaining.

Total length = 12 + 18 = 30 inches

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$6.3 would be left over
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Determine whether the underlined value is a parameter or a statistic. One of the greatest baseball hitters of all time has a car
Ad libitum [116K]

Answer:

B. The value is a parameter because the career at-bats of a baseball player are a population.

Step-by-step explanation:

The hitter had a career batting average of 0.366.

This value comes from information about the population of every time he has ever gone up to bat. Therefore, it is a parameter.

If on the other hand, we take the batting average of 5 games, the 5 games will be a sample and the batting average will be a statistic.

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4 years ago
How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?
s344n2d4d5 [400]

Answer:

The investment required is: $5687

Step-by-step explanation:

Future Amount A= $7000

Rate r = 6% =0.06

Time t = 4

Compounded Weekly = n= 52

We need to find Principal Amount P

The formula used is: A=P(1+\frac{r}{n})^{n*t}

Putting values and finding P

A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231}  \\P=5687

So, The investment required is: $5687

3 0
3 years ago
Please help <br><br> questions 12,14,16
notka56 [123]

Answer:

12) y=3x-15

14) y=-1/2x

16) y=13x-105

Step-by-step explanation:

Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):

12) y=3x+b

14) y=-1/2x+b

16) y=13x+b

now, we can plug in each of the coordinates given to these equations.

12) (4,-3): 4 is x, -3 is y.

       -3=3(4)+b

      simplify: b= -15

14) (-4,2): -4 is x, 2 is y

      2=-1/2(-4)+b

        simplify: b=0

16) (9,12): 9 is x, 12 is y

       12=13(9)+b

       simplify: b=-105

Now, plug in those numbers to your equation for b value.

12) y=3x-15

14) y=-1/2x

16) y=13x-105

*for 14 we don't need to write anything after -1/2x because b=0*

3 0
3 years ago
Which function is equivalent to f(x) = lnx?
11Alexandr11 [23.1K]

Answer:

f(x)=log_ex

Step-by-step explanation:

By definition, we can write ln instead of log. WHEN??

Whenever the base of the logarithm is the number "e".

Hence, when we have:

Log_e

We can write it in shortcut as:

Log_e=ln

Hence, ln x can also be written as Log_ex

Fourth answer choice is right.

7 0
3 years ago
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