Answer:
test statistic, z = −1.74
Step-by-step explanation:
given data
students n = 100
mean time x = 41.13 seconds
σ = 5
we consider µ = 42
solution
we get here The test statistic that is express as
test statistic, z = 
......................1
put here value and we will get
test statistic, z = \frac{41.13-42}{\frac{5 }{\sqrt{100}}}
test statistic, z = −1.74
The value of x is 5/8.
<u>Step-by-step explanation</u>:
Given,
- The lines PQ and RS are parallel to each other.
- slope of PQ= x-1/4
- slope of RS = 3/8
The slopes of parallel lines are equal.
slope of PQ = slope of RS
⇒ x-1/4 = 3/8
⇒ (4x-1)/4 = 3/8
⇒ 8(4x-1) = 4(3)
⇒ 32x-8 = 12
⇒ 32x = 20
x = 20/32
x = 5/8
Answer:
What are the units? 13 x 14 ??or 15 x 16 ?
Step-by-step explanation:
Eitther 182 or 240
Answer:
40 ft²
Step-by-step explanation:
Let the length of the original rectangle be L and original Breadth be B
it is given that the original area is 5/8 ft²
i.e.
Original Length x Original Breadth = Original Area, or,
LB = 5/8 ft² ------------------(1)
Given that the dilation factor is 8,
Hence,
New Length = 8L and New Breadth = 8B
THerefore,
New Area = 8L x 8B
= 64 LB (from (1) above , we know that LB = 5/8 ft², substitute into expression)
= 64 (5/8)
= 40 ft²
