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3 years ago

12^0 + (1.25 x 4 +3 ) ( 1/2)^3 =

Mathematics

2 answers:

VLD [36.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

12^0 + (1.25 • 4 + 3) (1/2)^3

Anything to the power of zero is 1. So 12^0 is 1. Solve in between the brackets too. When solving in the brackets multiply 1.25 and 4 and after the result of that add it to 4. That is the order of PEMDAS.

1 + (5 + 3) (1/2)^3

1 + (8) (1/2)^3

Simplify (1/2)^3.

1 + (8)(0.125)

Multiply 8 and 0.125 according to PEMDAS.

1 + 1

Add

The answer is 2. I hope this helps! Let me know if I got anything wrong or you have any more questions.

masya89 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

(12^0) + (((1.25 x 4) + 3) * ((1/2)^3)) = 2

hope this helps! :)

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A store offers customers a 5$ gift certificate for every 75$ they spend. How much would a customer have to spend to earn a 35$ c

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3 years ago

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Choose the equation that is equivalent to the equation shown below. y = 2x + 4a/6b A. x = 2x - 3by B. c = ax-by/z C. b = 6y/2x+4

Ivahew [28]

Answer:

Step-by-step explanation:

y = 2x + 4a/6b y=(12xb+4b )/6b

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3 years ago

What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x + 20? (1 point)

Montano1993 [528]

The possible rational zeros of polynomial function $f(x) = x^4 + 2x^3 - 3x^2-4x + 20$ could be only among the divisors of the free term of this polynomial function.

The free term is 20 and the divisors of 20 are:

$\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.$

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4 years ago

The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie

andrey2020 [161]

Answer:

The answer is $25\pi$ units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

The distance between the $x$ 's is 9-3=6.

The distance between the $y$ 's is 9-1=8.

The distance between the points is given by $\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$ .

The radius is therefore $\frac{10}{2}=5$ .

We are asked to find the area of this circle.

The formula for finding the area of a circle is $\pi r^2$ .

Since the radius is $5$ , then the area in terms of $\pi$ ,(pi), is $\pi (5)^2=\pi (25)$ .

The answer is $25\pi$ units squared.

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3 years ago

The cost of Internet access. How much do users pay for Internet service? Here are the monthly fees (in dollars) paid by a random

Ivanshal [37]

Answer:

$20.9-2.01\frac{7.65}{\sqrt{50}}=18.73$

$20.9+2.01\frac{7.65}{\sqrt{50}}=23.07$

The 95% confidence interval would be given by (18.73;23.07)

Step-by-step explanation:

Assuming these data

20 40 22 22 21 21 20 10 20 20

20 13 18 50 20 18 15 8 22 25

22 10 20 22 22 21 15 23 30 12

9 20 40 22 29 19 15 20 20 20

20 15 19 21 14 22 21 35 20 22

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

First we need to find the sample mean with the following formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{50}=20.9$

And in order to find the sample standard deviation we can use the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (x_i -\bar x)^2}{n-1}}=7.65$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Since the Confidence is 0.95or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$20.9-2.01\frac{7.65}{\sqrt{50}}=18.73$

$20.9+2.01\frac{7.65}{\sqrt{50}}=23.07$

So on this case the 95% confidence interval would be given by (18.73;23.07)

8 0

3 years ago