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Leokris [45]
3 years ago
8

Lucy collects data from a random sample of seventh-graders. Out of 40 respondents, 7 attend after-school programs. Of the 200 se

venth-graders attending Lucy’s school, how many would be expected to attend afterschool programs?
Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

35

Step-by-step explanation:

For every 40 students, you add 7

Ratio:

Students : Students in afterschool programs

40:7

80:14

120:21

160:28

200:35

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Zigmanuir [339]

Answer:

The integrals was calculated.

Step-by-step explanation:

We calculate integrals, and we get:

1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}

2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}

3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}

4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}

5)  \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=

=\frac{3π+8}{64}

6)  ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x

7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}

8)  ∫ tan^5 (x) sec(x)  dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x

6 0
3 years ago
Find the slope given the two points. (2, -6) and (2, 3)
kifflom [539]

Answer: Undefined

The x coordinates are the same, so a vertical line forms. All vertical lines have undefined slopes.

We can see it through the slope formula

m = (y2-y1)/(x2-x1)

m = (3-(-6))/(2-2)

m = (3+6)/(2-2)

m = 9/0

We cannot divide by zero, so the result is undefined.

5 0
3 years ago
Read 2 more answers
Please help^^i will reward welllll
VladimirAG [237]

Answer:

1.7362

Step-by-step explanation Factor the expression

Use Radical Rules

Calculate the product

hope I helped :)

6 0
3 years ago
NEED HELP WITH A MATH QUESTION
Lady_Fox [76]

Answer:

\dfrac{18}{5}

Step-by-step explanation:

The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.

Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality

15<5x-3<17

Add 3 to this inequality

15+3<5x-3+3<17+3

18<5x<20

Divide it by 5:

\dfrac{18}{5}

3 0
3 years ago
What is the standard form of nine million, twenty thousand, twenty-nine
KatRina [158]

Answer:

9000000+20000+20+9

Step-by-step explanation:

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3 years ago
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