Answer:
Following are the solution to the given points:
Step-by-step explanation:
When the two-tailed were testing then:
Null and alternative hypothesis:
Testing the statistics:
therefore, it fails to reject the null hypothesis.
Answer:
12
Step-by-step explanation:
Simplify \frac{4}{5}G
5
4
G to \frac{4G}{5}
5
4G
.
\frac{4G}{5}+42=2.8G+18
5
4G
+42=2.8G+18
Multiply both sides by 5.
4g + 210 = 14g + 90
Simplify
14G + 90 - 4G to 10G + 90
Subtract 90 from both sides.
210-90=10G210−90=10G
Simplify 210-90210−90 to 120120.
120=10G120=10G
Divide both sides by 1010.
\frac{120}{10}=G
10
120
=G
Simplify \frac{120}{10}
10
120
to 1212.
12=G12=G
Switch sides.
G=12G=12
SORRY ABOUT ALL THIS WORK...
Answer:
m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles
Step-by-step explanation:
∵ m∠ABE = m∠CBD
∵ m∠ABD = m∠ABD + m∠DBE
∵ m∠CBD = m∠CBE + m∠EBD
∵ ∠EBD is common angle between them
∴ m∠ABD = m∠CBE
Answer:
- 20
Step-by-step explanation:
Total Change in enrollment = - 60
Period of time at which change occurred = 3 years
Average change per year :
Total change in enrollment / period at which change occurred
= - 60 / 3
= - 20
Average change of - 20 enrollments per year
Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
