Kayla is using 492 meters of a string when she is done there is 49 meters left then Ella gives kayla 3 times more than she has n
1 answer:
Answer:
196 meters, it is not greater than Kayla's total.
Step-by-step explanation:
Given:
Kayla is using 492 meters of a string when she is done there is 49 meters left.
Ella gives Kayla 3 times more than she has now.
To find:
How much did Ella give and is it greater than Kayla's total ?
Solution:
Kayla has now ( after using 492 meters of a string ) = 49 meters
Ella gives Kayla 3 times more than Kayla has now means,
Therefore, Ella gave 196 meters string to Kayla.
Now, to find that is it greater than Kayla's total,
Kayla's total length of string = 492 + 49 = 541 meters
Kayla's total length of string is 541 meters while Ella gave 196 meters string to Kayla which is less than Kayla's total.
Thus, it is not greater than Kayla's total.
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Answer:
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Step-by-step explanation:
We are given;
Number of males selected; n₁ = 150
Number of females selected; n₂ = 190
Proportion of the males; p₁ = 0.6
Proportion of females; p₂ = 0.5
Let's define the hypotheses;
Null hypothesis; H0: p₁ ≥ p₂
Alternative hypothesis; Ha: p₁ < p₂
Now, the z score formula for this is;
z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))
Where;
p^ = (p₁ + p₂)/2
p^ = (0.6 + 0.5)/2
p^ = 0.55
Thus;
z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))
z = 0.1/0.0543
z = 1.84
From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;
P-value = 0.033
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.
Answer:
<em>Choice: B.</em>
Step-by-step explanation:
<u>Operations With Functions</u>
Given the functions:
The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:
Operating:
Joining like terms:
Choice: B.