Answer:
The equation x = y-8
The equation (y-8) y = 240
The first number x = 12 and second number y =20
Step-by-step explanation:
<u>Explanation</u>:-
<u>Step(l)</u>:-
Let 'x' be the first number and 'y' be the second number
Given the product of two numbers is 240
Given data x y = 240 …(l)
Given data the first number is 8 less than the second number.
x = y-8...(ll)
Substitute (ll) in equation (l) , we get
(y-8) y = 240
y = -12 and y = 20
Y= -12 is not satisfied
we can choose y = 20
<u>Step(ll):</u>-
Given data x =y-8
substitute value y = 20 in x = y -8
x = 20-8 = 12
<u>Final answer</u>:-
The first number x = 12 and second number y =20
...
Using the Pythagorean theorem, a² + b² = c², we can solve for 'c'.
We know the length of sides 'a' and 'b', and this is all we really need to know. The angle value of angle 'c' is irrelevant to finding the length of side 'c' (which I'm assuming is the hypotenuse).
18² + 24² = c².
324 + 576 = c².
900 = c². Now find the square root of 900 to get the value of 'c'.
30 = c. <= And there is your answer.
Answer:
n(R)=9
n(Y)=4
n(B)=5
n(G)=7
n(s)25
probability of getting red =n(R)/n(S)=9/25
Answer:
144.44 yards
Step-by-step explanation:
The formula to find circumference is: C = π · d
Since we already have most of the factors figured out, we just replace them with what we have.
C = 3.14 · 46 yrds
144.44 = 3.14 · 46
Answer:
The claim that the scores of UT students are less than the US average is wrong
Step-by-step explanation:
Given : Sample size = 64
Standard deviation = 112
Mean = 505
Average score = 477
To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.
Solution:
Sample size = 64
n > 30
So we will use z test
Formula : 
Refer the z table for p value
p value = 0.9772
α=0.05
p value > α
So, we accept the null hypothesis
Hence The claim that the scores of UT students are less than the US average is wrong
