Answer:
The Correct option is A) 8
The value of a is 8.
Step-by-step explanation:
Vertical Angles:
The angles opposite each other when two lines cross.
They are always equal.
∠ 2(3a-7)° and ∠ (5a-6)° are vertical angles.Hence are equal.
So on Substituting we get
Applying distributive property we get
The value of a is 8
The Correct option is A) 8
Answer:
56 number of Nectarines are needed
Step-by-step explanation:
Let number of Fruit-pie be x and number of nectarines be y.
Since the fruit pie recipe calls for twice as many peaches as nectarines.
then we have,
It is also given that total of 168 pieces fruit for all pies.
⇒
Substitute x=2y in above equation to solve for y:
or
3y=168
Divide both sides by 3, we get
Simplify:
y = 56
Therefore, 56 nectarines are needed.
Answer:
1) Fail to reject the Null hypothesis
2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.
Step-by-step explanation:
A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:
The results of his tests are:
t-value = -1.05
p-value = 0.305
Degrees of freedom = df = 21
Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05
The rule of the thumb is:
No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.
Conclusion:
We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.