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3 years ago

6

Jose has eight black marbles, fourteen clear marbles, and twelve blue marbles in a bag. If he picks one at random, what is the p

robability that he will pick a clear marble?

1 answer:

tatyana61 [14]3 years ago

4 0

14/34 is the fraction probability of picking a clear marble

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Complete the patterns 3,400,000 34,000 blank 3.4 blank

almond37 [142]

340 and 0.034 because yo move two decimal points to the left

6 0

3 years ago

Read 2 more answers

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

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2 years ago

"a test has 5 multiple choice questions with four choices with one correct answer each. if we just randomly guess on each of the

diamong [38]

1 out if 20 you would get right

There is 5 questions 4 answers to pick from so 5 times 4 is 20

Then they said what is the probability of only getting one answer right

So the answer would be 1 out of 20 1/20

3 0

2 years ago

Use the coordinates to find the perimeter of the rectangle. D(1,2), E(1,7), F(4,7), G(4,2) *

JulsSmile [24]

Answer:

16

Step-by-step explanation:

DE is the vertical line x=1. It extends between y=2 and y=7, a distance of 5 units.

EF is the horizontal line y=7. It extends from x=1 to x=4, a distance of 3 units.

Then the perimeter of half the rectangle is 5+3 = 8 units.

The perimeter of the rectangle is 2·8 = 16 units.

7 0

3 years ago

How to rewrite expression 1.572x100 using exponential form

iren [92.7K]

Esta es la respuesta
1.572x100x
157.2x

6 0

2 years ago