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3 years ago

Angle of rotation(including direction of rotation)

Mathematics

1 answer:

arlik [135]3 years ago

7 0

What is the question

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The minimum mark to obtain a Grade A is 75. Cheryn managed to achieve an average of Grade A for three of her English quizzes. Wh

Masteriza [31]

9514 1404 393

Answer:

Step-by-step explanation:

Let m represent the mark Cheryn scored on her first quiz. Then her average is ...

(m +76 +89)/3 ≥ 75

m +165 ≥ 225 . . . . . . . . multiply by 3

m ≥ 60 . . . . . . . . . . . . subtract 165

Cheryn scored a minimum of 60 marks on her first quiz.

4 0

3 years ago

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

Solve the inequality for w. w-7<21

Radda [10]

Add 7 to each side of the inequality.

w < 28.

8 0

3 years ago

6 3/4 % tax, in dollars, on a price of $14.29

seraphim [82]

The awnser to this would be (6.75)(14.29)

4 0

3 years ago

Put in alaphabetical order cheese cherry cinnamon chocolate

Andrei [34K]

Answer:

cheese cherry chocolate cinnamon

Step-by-step explanation:

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3 years ago