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3 years ago

You roll a 6-sided die twice. what is the probability of getting a 1 on the first roll or a 6 on the second roll?

2 answers:

5 0

Find the probability of getting a 1 on the first roll
There is one side having a 1, and there is a total of six sides.
P₁ = number of event/number of samples
P₁ = 1/6

Find the probability of getting a 6 on the second roll
There is one side having a 6, and there is a total of six sides.
P₂ = number of event/number of samples
P₂ = 1/6

Find the probability of getting a 1 on the first roll and a 6 on the second roll.
The keyword is the word "and", that means we join the two probabilities by multiplication. If the keyword is the word "or", we join them by addition.
P = P₁ × P₂
P = 1/6 × 1/6
P = 1/36

Sindrei [870]3 years ago

3 0

The probability of getting a 1 on the first roll is 1/6.

The probability of getting a 6 on the second roll is also 1/6.

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D) Calculate the area of a circle with a circumference of 31.4 in.

dsp73

Answer:

A ≈ 78.54

Step-by-step explanation:

Area of a circle is A=πr^2

Since you do not know r (radius) you take the formula for the circumference of a circle (C=2πr), plug in 31.4 for C, and solve for r

Now that you have the radius of 4.99746521, you round it up to 5 and solve the area formula with 5 in as r.

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3 years ago

Read 2 more answers

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Natasha_Volkova [10]

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3 years ago

A random sample of 121 automobiles traveling on an interstate showed an average speed of 73 mph. from past information, it is kn

tatiyna

121 is big enough to assume normality and not worry about the t distribution. By the 68-95-99.7 rule a 95% confidence interval includes plus or minus two standard deviations. So 95% of the cars will be in the mph range

$(73 - 2 \cdot 11, 73 + 2 \cdot 11) = (51,95)$

The question is a bit vague, but it seems we're being asked for the 95% confidence interval on the average of 121 cars. The 121 is a hint of course.

The standard deviation of the average is in general the standard deviation of the individual samples divided by the square root of n:

$\sigma = \dfrac{ 11}{\sqrt{121}} = 1$

So repeating our experiment of taking the average 121 cars over and over, we expect 95% of the averages to be in the mph range

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That's probably the answer they're looking for.

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3 years ago

Find the angle between the vectors u=i-9j and v=8i+5j

Katyanochek1 [597]

Answer: $\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}$

Step-by-step explanation:

$u \cdot v=(1)(8)+(-9)(5)=-37\\\\|u|=\sqrt{1^{2}+(-9)^{2}}=\sqrt{82}\\\\|v|=\sqrt{8^{2}+5^{2}}=\sqrt{89}\\\\\cos \theta=\frac{-37}{\sqrt{82}\sqrt{89}}\\\\\theta=\cos^{-1} \left(\frac{-37}{\sqrt{82}\sqrt{89}} \right)\\\\\theta=\boxed{\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}}$

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2 years ago

What is the greatest common factor of the three terms?<br><br> 36h, 12h6, 48h5

Helen [10]

Answer:

Step-by-step explanation:

each term has h^1

each term's coefficient is divisible by 12

12h( 3, h^5, 4h^4)

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3 years ago