Write an equation of a line that passes through(-5,-8) and is parallel to the y-axis. What is the slope
1 answer:
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Answer:
0.9375 = 93.75% probability that at least one of the four children is a girl.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have the following sample space
In which b means boy, g means girl
b - b - b - b
b - b - b - g
b - b - g - b
b - b - g - g
b - g - b - b
b - g - b - g
b - g - g - b
b - g - g - g
g - b - b - b
g - b - b - g
g - b - g - b
g - b - g - g
g - g - b - b
g - g - b - g
g - g - g - b
g - g - g - g
Total outcomes
There are 16 total outcomes(size of the sample space)
Desired outcomes
Of these outcomes, only 1(b - b - b - b) there is not a girl.
So the number of desired outcomes is 15.
Probability:
0.9375 = 93.75% probability that at least one of the four children is a girl.
Answer:
<em>alternative hypothesis : H₁ :</em>
<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>
<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon
<em>Population average μ= $1.298 a gallon</em>
<em>sample size 'n' = 37</em>
<em>Sample mean (x⁻) = $1.192 a gallon </em>
<em>Sample standard deviation 'S' = $0.0436</em>
<em>Null hypothesis :H₀ : μ = $1.298 a gallon</em>
<em>Alternative Hypothesis : μ < $1.298 a gallon</em>
<em>Degrees of freedom : ν = n-1= 37-1=36</em>
<em>t₀.₀₂₅ = 1.688</em>
<em>Test statistic </em>
<em> </em><em></em>
<em> </em><em></em>
<em> t = -14.8044</em>
<em>|t| = |-14.8044| > 1.688</em>
<em>Null hypothesis is rejected </em>
<em>Alternative hypothesis is accepted </em>
<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>