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3 years ago

A few probability questions. Quickly please :) I have tried to do them but seem to be unable to figure these 2 out.

1 answer:

4 0

1.choosing a red marble since the probability would be 7/12 but the blue would be 5/12 so red is most possible
2.the possibility of a red being chosen is 2/20=1/10

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Which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an=5+(n-1)2?

satela [25.4K]

Answer:

Step-by-step explanation:

In Arithmetic sequence , 2nd term = first term + d

3rd term = 2nd term + d

In this given explicit formula, we can find that d =2

an ----> n th term; an-1 -----> n-1 th term

an = an-1 th term + 2

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3 years ago

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Find the distance between 0,-1 and 3,7

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What is the equation of the line that goes through (−1, −1) and is parallel to y = 6x − 1?

Alexandra [31]

Y-y1 = m(x-x1)
y-(-1) = 6 (x- -1)

answer: y = 6x-5

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3 years ago

What is the height of a triangular prism that has a height of 9 meters and a base with the following deminsions 4m 14m

Andrew [12]

Answer:

252m^3

Step-by-step explanation:

A solid having a triangular base is what we call a triangular prism. For every prism, its volume is always equal to the area of its base times its height. In other words:

V = AxH

V - volume

A- area

H - height of prism

We know that:

h = 4 m (side of base)

b = 14 (other base side)

A = bh/2 = 14x4/2 = 28 m^2

And then: V = A x H = 28 x 9 = 252 m^3

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3 years ago

Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

Amount invested or principal amount as $5048
Rate of interest as 4% compounded 12 times per year
Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

$A=P(1+\frac{r}{100})^n$

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

$6,163.59=5,048(1+\frac{0.333}{100})^n$

$1.221=(1+\frac{0.333}{100})^n$

$1.221=(1.0033)^n$

introducing logarithms on both sides;

$log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61$

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

= 5.0508

= 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

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3 years ago