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AveGali [126]
3 years ago
15

in a sample of 10 cards, 4 are red and 6 are blue. if 2 cards are selected at random from the sample, one at a time without repl

acement, what is the probability that both cards are not blue?
Mathematics
2 answers:
const2013 [10]3 years ago
5 0

It May Be..... Likely

Anton [14]3 years ago
4 0

If we want to find the probability that both cards are NOT blue, then we are basically finding the probability that both cards are red:

4/10 * 3/9 = 2/15

We did 3/9 because we already took away one red, which we did not replace.

So, the answer is 2/15.

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Seven days ago, the gas tank on Rosa’s vehicle was filled with 25 gallons of gasoline. Today there are 11 gallons of gasoline. W
uysha [10]

Answer:

-14

Step-by-step explanation:

You can find the amount of change by subtracting the original amount from the new amount.

11 - 25 = -14

Overall: Appropriate answer is, -14.

6 0
3 years ago
Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,
torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

y=6x^2+14x

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

\frac{dy}{dx}=12x+14

We know that length of curve

s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx

We have a=-2 and b=1

Using the formula

Length of curve=s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

dt=12dx

dx=\frac{1}{12}dt

Length of curve=s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt

We know that

\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C

By using the formula

Length of curve=s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})

Length of curve=s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})

Length of curve=s=32.66

5 0
3 years ago
Submit the worksheet with your constructions to your teacher to be graded.
Gnom [1K]

Pretty sure just draw same line but a to r and b to s

4 0
3 years ago
Read 2 more answers
which will increase the volume of a square pyramid more doubling the length of each side of tripling the height (hint test it wi
Furkat [3]
Im pretty sure it would be doubling the length of each side
8 0
3 years ago
Read 2 more answers
Draw the figure with their measurements and find their volume
babunello [35]

1) Volume = L × W × H = 8 × 3 × 5 = <u>120 m³</u>

2) Volume = s³ = 17³ = 17 × 17 × 17 = <u>4913 cm³</u>

3) Volume = s³ = 30³ = 30 × 30 × 30 = <u>27000 cm³</u>

4) Volume = L × W × H = 13 × 5 × 7 = <u>455 cm³</u>

5) Volume = s³ = 15³ = 15 × 15 × 15 = <u>3375 cm³</u>

<u />

Formula's applied:

(a) Volume of rectangle: Length × Width × Height

(b) Volume of Cube: (side)³

5 0
2 years ago
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