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Sloan [31]
3 years ago
9

Subtract the quotient of 15 divided 3 from the sum of 33 and 7

Mathematics
2 answers:
-BARSIC- [3]3 years ago
8 0
15/3 = 5

33+7 = 40

40 - 5 = 35
sattari [20]3 years ago
8 0
Hello there!

To start, first set up an expression in order to represent this problem:
(33+7)-(15÷3)

Now, simplify as according to the order of operations, or PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction):
(33+7)-(15÷3)
(40)-(15÷3)
(40)-(5)
40-5=35

Therefore, your final answer would be 35.

Hope this helps! :)
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Which of the following numbers would be in the solution set to this inequality? Mark all that apply. -2x + 16 ≤ 10
kenny6666 [7]
-2x + 16 < = 10
-2x < = 10 - 16
-2x < = - 6
x > = -6/-2
x > = 3............so any number that is 3 or above is in the solution set
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Find the 78th term of the arithmetic sequence –4,-2,0,...
MArishka [77]

The number is increasing by 2 every time.

78 x 2 = 156

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The 78th term is 152

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3 years ago
The triangle T has vertices at (-2, 1), (2, 1) and (0,-1). (It might be an idea to
Firdavs [7]

Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:

<em>y</em> = -1 - <em>x</em>  ==>  <em>x</em> = -1 - <em>y</em>

<em>y</em> = <em>x</em> - 1  ==>  <em>x</em> = 1 + <em>y</em>

So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.

This means the area is given by the integral,

\displaystyle\iint_T\mathrm dA=\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy

The integral with respect to <em>x</em> is trivial:

\displaystyle\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy=\int_{-1}^1x\bigg|_{-1-y}^{1+y}\,\mathrm dy=\int_{-1}^1(1+y)-(-1-y)\,\mathrm dy=2\int_{-1}^1(1+y)\,\mathrm dy

For the remaining integral, integrate term-by-term to get

\displaystyle2\int_{-1}^1(1+y)\,\mathrm dy=2\left(y+\frac{y^2}2\right)\bigg|_{-1}^1=2\left(1+\frac12\right)-2\left(-1+\frac12\right)=\boxed{4}

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.

6 0
3 years ago
A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.
Darina [25.2K]
V=hpir^2

tricky, they didn't give us radius
they just gave circiufmerece

c=2pir
25.12=2pir
divide by 2 both sides
12.56=pir
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subsitutet

v=hpir^2
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When sampling from a population, the sample mean will: Group of answer choices always be closer to the population mean as the sa
Radda [10]

Answer:

When sampling from a population, the sample mean will: be closer to the population mean as the sample size increases.

Step-by-step explanation:

The sample mean is not always equal to the population mean but if we increase the number of samples then the mean of the sample would become more and more closer to the population mean.

Usually the population size is very huge that is why we select a random sample from the population, care must be taken to ensure randomized sampling otherwise results would not be accurate. After that we have to make sure that the number of samples are enough for the given population size. The number of samples depends upon the shape of the population. If the population is normal than according to central limit theorem, a less number of samples would be enough to ensure normal distribution of sampling mean, otherwise a greater sample size will be required.

8 0
3 years ago
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