Z = ( X - Mean ) / SD
z = ( 646 - 597 ) / 39
z = 49/39 = 1.25
With the z-score table:
for z = 1.25, p = 0.8944 ( probability that the cost will be lower than $646 )
1 - 0.8944 = 0.1056
Answer: <span>The probabilit</span>y is 0.1056
Answer:
First recipe needs = 3/8
Second recipe needs = 5/8
Step-by-step explanation:
Given:
Two recipes needs butter = 1 pound
One recipe needs 1/4 pound more
Find:
Each recipe needs butter
Computation:
Assume;
First recipe needs = x
Second recipe needs = x + (1/4)
Two recipes needs butter = First recipe needs + Second recipe needs
x + x + (1/4) = 1
2 x = 1 - (1/4)
2 x = 3/4
x = 3/8 pound
First recipe needs = 3/8
Second recipe needs = x + (1/4) = (3/8) + (1/4) = 5/8
Second recipe needs = 5/8
Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:

Alternative hypothesis:

The t-test statistics is determined by using the formula:




Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
Answer:
A. .25
B. .95
C. .75
D. .42
Step-by-step explanation:
Answer:
y=mx+b
y=2x+8
y=x+6
Step-by-step explanation:
y=2x+8 y=x+6
slope:2 slope:1
y-int:8 y-int:6
x. y x. y
0. 8 0. 6
1. 10 1. 7