5x + 9x if x =3 solve this expressioon
1 answer:
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Answer:
(a) The median is 1478
(b) Null hypothesis H₀ : μ₁ = μ₂
Alternative hypothesis Hₐ : μ₁ > μ₂
(c) The test statistic is 6.678155
(d) The p value is 1.2×10⁻¹¹
(e) We reject our null hypothesis H₀. In terms of the test, there is sufficient evidence to suggest that there is a trend in the numbers of daily newspaper because the probability for a decrease in the numbers is very high
Step-by-step explanation:
(a) Here we have the data as follows;
1623 1586 1574 1554 1544 1531 1519 1513 1491 1484 1478 1471 1458 1456 1458 1453 1438 1428 1405 1395 1377
The median is = 1478
Therefore we have above the median
1623 1586 1574 1554 1544 1531 1519 1513 1491 1484
The mean, = 1541.9
Standard deviation, σ₁ = 41.38224257
n₁ = 10
Below the median
1471 1458 1456 1458 1453 1438 1428 1405 1395 1377
The mean, = 1433.9
Standard deviation, σ₂ = 30.04812806
n₂ = 10
(b) Null hypothesis H₀ : μ₁ = μ₂
Alternative hypothesis Hₐ : μ₁ > μ₂
(c) The formula for t test is given by;
df = 10 - 1 = 9, α = 0.05
Therefore, the test statistic = 6.678155
(d) The p value from statistical relations is Probability p = 1.2×10⁻¹¹
Critical z at 5% confidence level = 1.645
Since P << 0.05, e reject the
(e) Therefore, we reject our null hypothesis H₀. In terms of the test, there is sufficient evidence to suggest that there is a trend in the numbers of daily newspaper because the probability for a decrease in the numbers is very high.
Answer:
B. (2/3) x (2/3) x (2/3)
C. 8/27
D. 2^3 /3^3
Step-by-step explanation:
You need to know the following property
Exponent also means you're multiplying the same number for an 'n' number of times.
For example, 2^3 = 2 * 2 * 2
we multiply it by itself 3 times since 3 is the exponent.
x^y
x is the base, y is the exponent
we read it as x to the power of y
If the exponent is 2, we say it as x squared
If the exponent is 3, we say it as x cubed