Answer:
the probability that the sample mean will be larger than 1224 is 0.0082
Step-by-step explanation:
Given that:
The SAT scores have an average of 1200
with a standard deviation of 60
also; a sample of 36 scores is selected
The objective is to determine the probability that the sample mean will be larger than 1224
Assuming X to be the random variable that represents the SAT score of each student.
This implies that ;
the probability that the sample mean will be larger than 1224 will now be:
From Excel Table ; Using the formula (=NORMDIST(2.4))
P(\overline X > 1224) = 1 - 0.9918
P(\overline X > 1224) = 0.0082
Hence; the probability that the sample mean will be larger than 1224 is 0.0082
Answer:
4 3/8 miles
Step-by-step explanation:
We are told that: the scale on a map is 1 inch =2 1/2 miles.the distance between two streets on the map is 1 3/4 inches
If 1 inches = 2 1/2 miles
1 3/4 inches =
Cross Multiply
1 3/4 × 2 1/2/1
= 7/4 × 5/2
= 35/8
= 4 3/8 miles
The actual distance between these streets is 4 3/8 miles
Using SOH CAH TOA
Sin =opposite/hypotenuse
that means opposite=2
Hypotenuse=3
Cos=Adjacent/Hypotenuse
Using Pythagorean theorem
Hyp^2=Opp^2 +Adj^2
3^2 =2^2+adj^2
9=4+adj^2
9-4=adj^2
5=adj^2
Taking the square root of both sides
√5=adj
:: cos=√5/3
Answer:
not factorable
Step-by-step explanation:
The easiest way to factor is to find two numbers of the "a" value (the coefficient before 
) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:
1 -10 --> 1(-10) gives you -10
1 -1 --> 1(-1) gives you -1
adding these together -10 + (-1) = -11 which does not equal -9.
You could stop here and conclude that this is not factorable by inspection.
Another method: using the quadratic formula to find its roots.
Roots: 
and 
Answer:
$62.9 and $98.4
Step-by-step explanation:
Let the cost of tennis shoe be x
Since a jacket cost $35.50 more than a pair of tennis shoe,
Then cost of jacket would be
= $35.50 + x
Total cost of both items would be;
x + $35.50 + x = $161.30
2x = $161.30 - $35.50
2x = $125.8
x = $62.9
Therefore, cost of pair of tennis shoe is $62.9
Jacket cost would now be
= $35.5 + x
= $35.5 + $62.9
= $98.4
