Answer:
(e) 0.75
Step-by-step explanation:
The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.
The correlation coefficient of the z-scores is 0.75.
Answer:
64 pies sold
Step-by-step explanation:
x = number of cakes sold
y = number of pies sold
Last weekend the bakery sold 118 total items
x + y = 118
Last weekend the bakery earned $1,932.
18x + 15y = 1,932.
Get rid of one of the terms, in this case x.
x + y = 118 becomes
18x + 18y = 2124
Subtract the equations from each other
(18x - 18x) + (18y - 15y) = 2124 - 1932
3y = 192
y = 64
Subsititue y into the orginal qeuation to solve for x and check it's right.
x + 64 = 118
x = 118 - 64 = 54
18(54) + 15(64) = 1932
If the circumference of a circle is 40 m, its area is 127.32395447352 m².
Answer:
B
C
A
Step-by-step explanation:
Find the value of x in each equation then compare the solutions from the least to the greatest
<u>In A</u>
5( x-6)+3x=3/4(2x-8) ------------Open brackets
5x-30+3x=3/2x-6
5x+3x-30=3/2x-6
8x-3/2x=-6+30---------------collect like terms
16x-3x=48
13x=48-----------------dived both sides by 13
x=48/13 = 3.7
<u>In B</u>
2.7(5.1x+4.9)=3.2+28.9-------------open bracket
13.77x+13.23=32.1
13.77x=32.1-13.23---------------collect like terms
13.77x=18.87
x=18.87/13.77----------------------divide both sides by 13.77
x=1.37
<u>In C</u>
5(11x-18)=3(2x+7)--------------------open brackets
55x-90=6x+21
55x-6x=21+90-----------------------collect like terms
49x=111----------------------------------divide both sides by 49 to get x
x=111/49 = 2.27
From the solutions, the least value of x is in B, then C ,and finally A
Answer:
X=9 Angle= 55
Step-by-step explanation:
The sum of all the angles of a triangle is always 180
so we add the angles
50 + 75 + (5x + 10)=180
125 +5x+ 10=180
135 +5x = 180
5x= 45
x=9
to find the angle we substitute x for 9
5(9)+10=55