Y = 3x - 1 ---- (1)
x - y = -9 ---- (2)
From Equation 2:
x - y = - 9
x + 9 = y
y = x + 9 --- (2a)
(1) - (2a):
0 = 3x - x - 1 - 9
0 = 2x - 10
2x - 10 = 0
2x = 10
x = 5 ---- sub into (1)
y = 3(5) - 1
y = 15 - 1
y = 14
In order to solve this question
Make an equation
Let x be the cost of each T- shirt
75x+6.25-20=398.75
Simplify the equation
75x-13.75= 398.75
Get Rid of The Constant
75x-13.75+13.75= 398.75+13.75
75x=412.5
Make sure your Variable is equal to one
75x÷75= 412.5÷75
x= 5.5
The price of each shirt is $5.50
Answer:
the chance of obtaining a difference in GPAs between male and female scholarship athletes as large as that observed in the sample if there is no difference in mean GPAs is 0.287
Step-by-step explanation:
When conducting hypothesis tests, the P value tells you the probability of the results happening by random chance. That's why we usually test against a very low alpha level, usually 1% or 5%.
Here P = 28%, so there is a 28% chance that if we take a sample of athletes, about 1 out of 4 times there won't be a significant difference in GPA between males and females.
Answer:
Step-by-step explanation:
<em>7).</em> x + y = 4 ⇒ y = 4 - x -----> xy = - 96
x(4 - x) = - 96 ⇔ x² - 4x - 96 = 0
D = ( - 4)² - 4(1)(- 96) = 400 = (20)²
= (- ( - 4) - 20) ÷ 2(1) = - 8
= ( - ( - 4) + 20) ÷ 2 = 12
Numbers are <em>- 8</em> and <em>12</em>
<em>8).</em> <em><u>It's your turn now. You can do it</u></em>
<em>9).</em> x² - 5x + 3 = 0
0 < < 1
4 < < 5
<em>10).</em> - x² + 3x + 1 = 0
-1 < < 0
3 < < 4
<em>11).</em> x² + 2x - 2 = 0
- 3 < < - 2
0 < < 1
Answer:-55/4
Step-by-step explanation:
-880,-220,-55,...
First term=a=-880
Common ratio=r=-220/-880=1/4
Using the formula
Tn=a x r^(n-1)
T4=-880 x (1/4)^(4-1)
T4=-880 x (1/4)^3
T4=-880 x 1/4 x 1/4 x 1/4
T4=-880 x 1/64
T4=-880/64
T4=-55/4
