Answer:
P(2.50 < Xbar < 2.66) = 0.046
Step-by-step explanation:
We are given that Population Mean,
= 2.58 and Standard deviation,
= 0.75
Also, a random sample (n) of 110 households is taken.
Let Xbar = sample mean household size
The z score probability distribution for sample mean is give by;
Z =
~ N(0,1)
So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)
P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar
2.50)
P(Xbar < 2.66) = P(
<
) = P(Z < -1.68) = 1 - P(Z 1.68)
= 1 - 0.95352 = 0.04648
P(Xbar
2.50) = P(
) = P(Z
-3.92) = 1 - P(Z < 3.92)
= 1 - 0.99996 = 0.00004
Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046
The two congruent base angles tell us that this is an isosceles triangle, meaning the triangle has two congruent sides. Therefore, we can set these two expressions equal to each other and solve from there.
15x + 7 = 23x - 17
7 = 8x - 17
8x = 24
x = 3
Side = 15(3) + 7 = 45 + 7 = 52
Hope this helps!
The first plan : y = 27 + 0.12x
Second plan : y = 0.16x
27 + 0.12x= 0.16x
27 = 0.04x
x = 67.5 minutes
Answer:
hello your question is incomplete attached below is the complete question
answer :
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
Step-by-step explanation:
<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>
time = distance / rate
where distance can be calculated using this equation: sin 53° = 400 / x
hence x ( distance ) = 500 ft
rate = 150
therefore Time ( t ) to reach boat = 500 / 150 = 3.33 minutes
Time for jogging ( as calculated ) = 3.69 minutes
therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes
<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>
lets assume Distance to swim = x ( according his sister )
determine the value of x =
therefore X = 1456.02 feet
∴
Total time to be taken if Daniel follows his sister's instruction = 1456.02 / 150 = 9.71 minutes
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
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Answer:
Option b) is correct.
The completed factor of given expression is 
Step-by-step explanation:
Given expression is 
To find the completed factor for the given expression:
:
Taking the common number "2" outside to the above expression we get

Now rewritting the above expression as below
(since 16 can be written as the number 2 to the power of 4)

The above expression is of the form 
Here
and 
Therefore it becomes

The above expression is of the form 
Here
and 
Therefore it becomes
Therefore
Option b) is correct.
The completed factor of given expression is 