What is a number that is divisible by 7, has 4 factors and is less than 30. It is also above 14.
2 answers:
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9514 1404 393
Answer:
41 13/40
Step-by-step explanation:
Generally, you're told to multiply mixed numbers by converting each to an improper fraction:
5 7/10 = (5·10 +7)/10 = 57/10
7 4/16 = (7·16 +4)/16 = 116/16
The fractions are multiplied by multiplying their numerators to get the numerator of the result, and multiplying their denominators to get the denominator of the result.
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You don't have to mess with reducing the fraction of the result if you reduce the fraction 4/16 to 1/4 to begin with. Then the product is (57/10)(29/4).
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<em>Alternate solution</em>
You can also treat this as the product of two sums. The distributive property is handy for this.
(5 + 7/10)(7 + 1/4) = (5)(7) +(5)(1/4) +(7/10)(7) +(7/10)(1/4)
= 35 +5/4 +49/10 +7/40
= 35 +1 +1/4 + 4 + 9/10 + 7/40 . . . . take out the integer parts
= 40 +10/40 +36/40 +7/40 . . . . . . use 40 as a common denominator
= 40 +53/40 = 41 13/40
Answer:
4. ± 3.012
Step-by-step explanation:
Hello!
Assuming that for both variables X₁ and X₂ n₁= n₂ = 16
You need to test at 1% if the variable is significant, this means, if the slope for X₁ is different from zero (β₁≠0) using the t-statistic and the critical value approach.
The hypotheses are:
H₀: β₁= 0
H₁: β₁≠ 0
α: 0.01
The degrees of freedom "n₁-3" are determined by the number of parameters that you estimate for the multiple regression, in this case there are three "β₁" "β₂" and "δ²e"
The rejection region for this test is two-tailed, the critical values are:
±
I hope this helps!