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Varvara68 [4.7K]
3 years ago
12

Write the following expression using a single exponent. (2^5)^3 × 2^6 A. 2^21 B. 2^48 C. 2^9 D. 2^14

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0
Simple...

you have: 

( 2^{5} ) ^{3} * 2^{6}

=2097152

A.)2^{21}

=2097152

Thus, your answer.
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A tram moved upward 9 meters per second for 36 seconds. What was the total change in the tram's elevation?
anyanavicka [17]

Answer:

324 meters.

Step-by-step explanation:

9*36 :)

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2 years ago
1. 27 marbles are shared between some children. Each child recieves six marbles and there are three marbles left over. How many
vova2212 [387]
1. 27 - 3 (because 3 are left over) = 24. Then, 24 ÷ 6 = 4 children. 

2. If Mina has £7.20, that means she has 720 pence. If half is given to her brother, then she has £3.60 left. (720 ÷ 2 = 360 pence, which is £3.60) 

3. 17 × 10 = 170
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170 + 40 = 210, which is £2.10 

5 0
2 years ago
Please help!! The answer options are 12/35, 12/37, 37/12, 35/37 Which one is it??
Oxana [17]

Answer:

sin= opposite leg/hypotenuse

Sin(a)=12/37

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
ravis gas tank is 1/2 full .after he buys 2 gallons of gas it is 2/3 full how many gallons can ravis tank hold?
aliya0001 [1]
So
1/2x+2=2/3x
convert to common fraction
1/2=3/6
2/3=4/6
3/6x+2=4/6x
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2=1/6x
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8 0
3 years ago
Assume that 8​% of people are​ left-handed. We select 6 people at random. ​a) How many lefties do you​ expect? ​b) With what sta
klemol [59]

Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

The number of trials expected to find r sucesses is given by

N = \frac{r}{p}

In this problem we have that:

Assume that 8​% of people are​ left-handed. We select 6 people at random. ​

This means that p = 0.08, n = 6

a) How many lefties do you​ expect?

E(X) = np = 6*0.08 = 0.48

​b) With what standard​ deviation?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.08*0.92} = 0.6645

​c) If we keep picking people until we find a​ lefty, how long do you expect it will​ take?

Number of trials to find 1 success. So

N = \frac{r}{p} = \frac{1}{0.08} = 12.5

4 0
3 years ago
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