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3 years ago

Counting clockwise from the minute hand, how many degrees are there from the minute hand to the hour hand at 5 o'clock?

1 answer:

4 0

Given that the minute hand is at exactly 12hrs there is a difference of 5 hours in between so you multiply 5over 12 by 360degrees and you get 180degrees

5/12*360=150

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40% of Oatypop cereal boxes contain a prize. Hannah plans to keep buying cereal until she gets a prize. What is the probability

aleksley [76]

Answer:

$(0.6)^{n}+n(0.4)(0.6)^{n-1}+\frac{n(n-1)(0.4)^{2}0.6^{n-2}}{2} +\frac{n(n-1)(n-2)0.4^{3}0.6^{n-3}}{6}$

Step-by-step explanation:

We will use the binomial distribution. Let X be the random variable representing the no. of boxes Hannah buys before betting a prize.

Our success is winning the prize, p =40/100 = 0.4

Then failure q = 1-0.4 = 0.6

Hannah keeps buying cereal boxes until she gets a prize. Then n be no. times she buys the boxes.

P(X ≤ 3) = P(X=0) +P(X=1)+P(X=2)+P(X=3)

= $\binom{n}{0}p^{0}q^{n-0}$ + $\binom{n}{1}p^{1}q^{n-1}$ + $\binom{n}{2}p^{2}q^{n-2}$ + $\binom{n}{3}p^{3}q^{n-3}$

= $q^{n}+npq^{n-1}$ + $\frac{n(n-1)(p)^{2}q^{n-2}}{2}$ + $\frac{n(n-1)(n-2)p^{3}q^{n-3}}{6}$

= $(0.6)^{n}+n(0.4)(0.6)^{n-1}+[tex]\frac{n(n-1)(0.4)^{2}0.6^{n-2}}{2} +\frac{n(n-1)(n-2)0.4^{3}0.6^{n-3}}{6}$

7 0

3 years ago

Read 2 more answers

Use properties of equality to Solve 7+3x = 5x+13 for x

mario62 [17]

We basically have to cancel values on both sides until they are both on common ground.

7 + 3x = 5x + 13

-7 from both sides...

3x = 5x + 6

-5x from both sides...

-2x = 6

/-2 from both sides...

x = -3

Hope this helps!

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3 years ago

List 3 values that would make this inequality true. 65<15x

Romashka-Z-Leto [24]

Anything 5 and up, because when you multiply the by 15, they equal more than 65, making the inequality true.

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3 years ago

devin drew a rectangle that is 4 inches by 9 inches. it has an area of 36 square inches and a perimeter of 26 inches. which rect

Makovka662 [10]

A. 2 inches by 11 inches

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3 years ago

Which fraction is equal to 0.5 7?

stepan [7]

Answer:

26/45

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Counting clockwise from the minute hand, how many degrees are there from the minute hand to the hour hand at 5 o'clock?​

Counting clockwise from the minute hand, how many degrees are there from the minute hand to the hour hand at 5 o'clock?