First, multiply the 3 and the 7 together, and then "multiply" the exponents -8 and 3. (However, when "multiplying exponents, you're really just adding them together: -8 + 5)

( $21^{-5}$ )^2

Then, multiply the -5 and -2 together, giving you:

$21^{10}$

5 0

3 years ago

Trina is purchasing a new bike the store is having 20% off sale and she as 10% coupon of the sale price if the original price of

marusya05 [52]

20% of 89.75 is 17.95
$\frac{20}{100} = \frac{x}{89.75} \\ x = \frac{89.75 \times 20}{100} = \frac{1795}{100} = 17.95$
so :
$89.75 - 19.95 = 71.8$
the Trina's coupon will subtract the answer by 10%:

10%of 71.8 is 7.18
$\frac{10}{100} = \frac{x}{71.8} \\ x = \frac{71.8 \times 10}{100} = \frac{718}{100} = 7.18$
so the final answer is:
$71.8 - 7.18 = 64.62$
she has to pay $64.62
hope this helps

8 0

3 years ago

In a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants

Dovator [93]

Answer:

Step-by-step explanation:

Given that in a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria.

H0: p1=p2

H1: p1 <p2

(one tailed test)

p1 = 15/343:p2 =27/294:

Difference 4.813 %

95% CI 0.9160% to 9.0217%

Chi-squared 5.947

DF 1

Significance level P = 0.0073

Since p <0.01 we reject null hypothesis.

4 0

3 years ago