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3 years ago

Simplify the expression.

Mathematics

1 answer:

bearhunter [10]3 years ago

3 0

Answer:

D. x to the power of nine

Step-by-step explanation:

The applicable rule of exponents is ...

(x^a)^b = x^(ab)

You have a=3/2, b=6, so ab = 3/2·6 = 9.

(x^(3/2))^6 = x^(3/2·6) = x^9

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6 = a/4 + 2 What’s the answer for the variable a?

Vikki [24]

Answer:

a = 16

Step-by-step explanation:

6 = a/4 + 2

4 = a/4 Subtract 2 from both sides

16 = a Multiply 4 to both sides

7 0

3 years ago

Read 2 more answers

You charge people $10 per hour to pick fruits and $8 per hour

Aleks04 [339]

Fruits :
Y=10(h)

Flowers;
Y=8(h)

Given: h=6

Fruits:
10(6) = $60

Flowers:
8(6)= $48

Back to the question, how much more from picking fruits?

$60 - $48 = $12 more picking fruits.

Hope this helps!

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3 years ago

The flu fighter competed against 40 bands in the CHICKEN soup country battle of the bands. The top 15% will compete in the all v

Gemiola [76]

41 times 0.15 equals 6.15. as you can't have 0.15 of a band, that means only 6 bands will compete.

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3 years ago

PLEASE HELP ANSWER 4 AND 5.

kumpel [21]

4) The ratio of lemons to cups of sugar = 2/3 or 2:3

5) The ratio of cups of sugar to cups of water = 3/14 or 3:14

Hope that helps

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3 years ago

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So

tatyana61 [14]

Answer:

The probability that at least 13 flights arrive late is 2.5196 $\times 10^{-6}$ .

Step-by-step explanation:

We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.

A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.

The above situation can be represented through binomial distribution;

$P(X = x) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.........$

where, n = number of trials (samples) taken = 18 Southwest flights

r = number of success = at least 13 flights arrive late

p = probability of success which in our question is probability that

flights arrive late, i.e. p = 1 - 0.80 = 20%

Let X = Number of flights that arrive late.

So, X ~ Binom(n = 18, p = 0.20)

Now, the probability that at least 13 flights arrive late is given by = P(X $\geq$ 13)

P(X $\geq$ 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)

= $\binom{18}{13}\times 0.20^{13} \times (1-0.20)^{18-13}+ \binom{18}{14}\times 0.20^{14} \times (1-0.20)^{18-14}+ \binom{18}{15}\times 0.20^{15} \times (1-0.20)^{18-15}+ \binom{18}{16}\times 0.20^{16} \times (1-0.20)^{18-16}+ \binom{18}{17}\times 0.20^{17} \times (1-0.20)^{18-17}+ \binom{18}{18}\times 0.20^{18} \times (1-0.20)^{18-18}$

= $\binom{18}{13}\times 0.20^{13} \times 0.80^{5}+ \binom{18}{14}\times 0.20^{14} \times 0.80^{4}+ \binom{18}{15}\times 0.20^{15} \times 0.80^{3}+ \binom{18}{16}\times 0.20^{16} \times 0.80^{2}+ \binom{18}{17}\times 0.20^{17} \times 0.80^{1}+ \binom{18}{18}\times 0.20^{18} \times 0.80^{0}$

= 2.5196 $\times 10^{-6}$ .

7 0

3 years ago