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4 years ago

Help meee plssss!!!!!

Mathematics

1 answer:

lakkis [162]4 years ago

8 0

Circumference of circle is 62.8 inches.

Step-by-step explanation:

Using Formula

Circumference of circle = 2 π r

Substitute the values

Circumference of circle = 2 × 3.14 × 10 inches.

multiply the numbers

Circumference of circle = 62.8 inches

Hence, the circumference of circle is 62.8 inches.

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Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 1/2

siniylev [52]

Answer: The probability that Xavier and Yvonne can solve a problem but Zelda cannot is $\frac{3}{64}$

Step-by-step explanation:

We are given:

Probability of success of Xavier, $P(S)_{Xavier}=\frac{1}{4}$

Probability of failure of Xavier, $P(F)_{Xavier}=1-\frac{1}{4}=\frac{3}{4}$

Probability of success of Yvonne, $P(S)_{Yvonne}=\frac{1}{2}$

Probability of failure of Yvonne, $P(F)_{Yvonne}=1-\frac{1}{2}=\frac{1}{2}$

Probability of success of Zelda, $P(S)_{Zelda}=\frac{5}{8}$

Probability of failure of Zelda, $P(F)_{Zelda}=1-\frac{5}{8}=\frac{3}{8}$

We need to calculate:

The probability that Xavier and Yvonne can solve the problem but Zelda cannot, we use:

$P(S)_{Xavier}\times P(S)_{Yvonne}\times P(F)_{Zelda}=\frac{1}{4}\times \frac{1}{2}\times \frac{3}{8}=\frac{3}{64}$

Hence, the probability that Xavier and Yvonne can solve a problem but Zelda cannot is $\frac{3}{64}$

6 0

3 years ago

6000 divided by 30 simplified what is it

Katena32 [7]

Answer:

200

Step-by-step explanation:

6,000 divided by 30 is 200

5 0

3 years ago

In any ratio relating the number of gallons of gas and the number of miles driven will one of the values always be larger

umka21 [38]

Yes. Here's an example : I used 4 gallons of gas and drove 28 miles. The ratio is 4gallons for every 28 miles. 4 gallons: 28 miles.

7 0

4 years ago

Write the slope intercept form of the equation of each line.

nadya68 [22]

Answer:

y=-3/2x+4
y=-3/2
y=3x+2
y=3/2+3

Step-by-step explanation:

3 0

3 years ago

Solve the integral I've come across some difficulties with this one..

disa [49]

Multiply the integrand's numerator and denominator by $1-\sin x$ , then simplify:

$\displaystyle\int\frac{\mathrm dx}{1+\sin x}=\int\frac{1-\sin x}{1-\sin^2x}\,\mathrm dx=\int\frac{1-\sin x}{\cos^2x}\,\mathrm dx=\int(\sec^2x-\sec x\tan x)\,\mathrm dx$

You should be familiar with

$\dfrac{\mathrm d}{\mathrm dx}\tan x=\sec^2x$

$\dfrac{\mathrm d}{\mathrm dx}\sec x=\sec x\tan x$

so that

$\displaystyle\int\frac{\mathrm dx}{1+\sin x}=\tan x-\sec x+C$

6 0

3 years ago