Answer:
2 x 2 x 11
Step-by-step explanation:
Note that prime factors are numbers that cannot be reduced anymore, and, when multiplied together, would equal the original number.
44/2 = 22/2 = 11
2 x 2 x 11 = 44 ∴ 2 , 2, 11 are your answers.
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Answer:
L = (P - 2W)/2
Step-by-step explanation:
This is the formula for perimeter
P = 2L + 2W
Sustract 2W on both sides:
P-2W= 2L
Divide both sides by 2:
(P-2W)/2 = L
L= (P-2W)/2
Solution:
Albert's medical expenses is = $ 12,000
Sam's come = $ 8,000
Add the amount = 12000 + 8000 = $ 20000
Sue Jones is insured for the amount = 10/20
Now, find the insurance.
(10/20)*(20,000) = 10000
Hence, $10000 pay for the insurance.
Answer:
c. 0.778 < p < 0.883.
Step-by-step explanation:
The formula for confidence interval for proportion =
p ± z score × √p(1 - p)/n
p = x/n
n = 195, x = 162
z score for 95% confidence Interval = 1.96
p = 162/195
p = 0.8307692308
p ≈ approximately equal to = 0.8308
0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195
0.8308 ± 1.96 ×√0.8308 × 0.1692/195
0.8308 ± 1.96 × √0.0007208788
0.8308 ± 1.96 × 0.0268491862
0.8308 ± 0.052624405
Confidence Interval
= 0.8308 - 0.052624405
= 0.778175595
Approximately = 0.778
= 0.8308 + 0.052624405
= 0.883424405
Approximately = p
0.883
Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883
(a) 3x=4(x-2.25) (or simplified: 3x=4x-9)
(b) 3x=4x-9
0=x-9
x=$9
(c) 3x9=27
4x9=36
36-9=27
and 27=27 therefore they spent the same and it is correct
(d) Tanya's items cost $9 each and Tony's items cost $2.25 less than this, or $6.75
