Step-by-step explanation:
a)i) perimeter= side+side+side+side
perimeter=8.7+8.7+5.4+5.4=28.2cm
ii) area=h×b
area=8.7×5.4=46.98cm²
b)i) perimeter=20.35+20.35+17.84+17.84
perimeter=76.38cm
ii)area=20.35×17.84
area=363.044cm²
c) area of rectangular field=937.125m²
Length=36.75m
i)Breadth=937.125÷36.75=25.5m
ii)perimeter=36.75+36.75+25.5+25.5
perimeter=124.5m
Answer:
6 * 42 = 6 * (20 + 22)
= (6 * 20) + (6 * 22) = 120 + 132 = 252
Step-by-step explanation:
Here, we want to multiply 6 by 42 using distributive property
In this case, we can have the distributive property as;
a * ( b + c) = ab + bc
Thus, we can represent 42 as (20 + 22)
so 6 * 42 becomes 6 * (20 + 22)
Using the distributive property, we have
(6 * 20) + (6 * 22)
= 120 + 132 = 252
The answer is
96%.
Explanation:
It is generally presumed that the scores are normally distributed.
1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the
z-score. Therefore z = 1.75
2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599
3) Multiply the area by 100 in order to find the
percentile:
<span>0.9599 </span>× 100 = 95.99
Therefore, 95.99% of the students scored less than Jeremy.
Hence, the answer is
96%.
Answer:
x = 20,000
p = $40
If the price increase by $1, the demand will decrease by 1000
Step-by-step explanation:
Given:
x = 160 - p
x = number of Robby costumes demanded in thousands
p = price in dollars.
a. How many costumes can be sold at a price of $140?
x = 160 - p
x = 160 - 140
= 20
x = 20,000
20 thousand costumes can be sold at a price of $140
b. What price should be charged if the demand is 120,000 Robby costumes?
x is in thousand
p is in dollars
x = 160 - p
x + p = 160
120 + p = 160
p = 160-120
= 40
p = $40
c. If the price increases by $1.00, by how much does the demand decrease?
x = 160 - p
= 160 - 141
= 19
x= 19,000
If the price increase by $1, the demand will decrease by 1000