Answer: a = 3.5
Step-by-step explanation:
14=4a
divide both sides by 4
14/4 = 3.5
4a/4 =1a or a
so a= 3.5
Two candles=8 hours=8*60=480 minutes
4 inch is 4/12 of a candle, 4/12 of 4 hours=16/12=4/3 hours=80 minutes
so the total minutes are 480+80=560
Answer:
I believe that Tony will have to work 16 or 17 hours to have enough money to buy the TV
Step-by-step explanation:
$276.99 - 135 = $141.99
$8.50 x 8 = $68
$8.50 x 16 = $136
$8.50 x 17 = $144.50
$8.50 x 33 = $280.50
$136 < $141.99 $144.50 > $141.99
$8.50 x 16 or $8.50 x 17
Check to see if the numbers are correct.
If they are you will have to make a choice.
I hope this helped. ☺
Answer:
Step-by-step explanation:
Hello!
<u>Sample 1 </u>(New Jersey)
n₁= 142
x₁= 9
^ρ₁=9/142=0.063
<u>Sample 2</u> (Texas)
n₂= 268
x₂= 5
^ρ₂= 5/268 = 0.0186 ≅ 0.019
Since what you need to test is if there is a significant difference between the proportions of drug-resistant cases in both states, the hypothesis are:
H₀: ρ₁-ρ₂=0
H₁: ρ₁-ρ₂≠0
α:0.20
The equation of the statistic is:
Z=<u> (^ρ₁-^ρ₂)-(^ρ₁-^ρ₂) </u>
√(^ρ(1-ρ)(1/n₁+1/n₂))
Where ^ρ=<u> x₁+x₂ </u>
n₁+n₂
The calculated statistic is Z=2.2804
and the p-value= 0.0226
Since the p-value is less than the level of signification, you can reject the null hypothesis. This means that there is enough evidence to conclude that there is a significant difference between the proportion of drug-resistant tuberculosis in both states.
