Equivalent 5(6x+3y)
1 answer:
The equivalent expression is 30x + 15y
<em><u>Solution:</u></em>
Given that we have to find the equivalent expression for given expression
<em><u>Given expression is:</u></em>
5(6x + 3y)
We can find the equivalent expression by using distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
<em><u>By distributive property,</u></em>
a(b + c) = ab + ac
Therefore, in given expression 5(6x + 3y), 5 can be multiplied with both 6x and 3y
Multiply the numbers and simplify
Thus the equivalent expression is 30x + 15y
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Answer: b) 84
Step-by-step explanation:
Let p be the prior estimate of the required proportion.
As per given , we have
p =0.5 (The probability of getting heads on a fair coin is 0.5)
Significance level :
Critical z-value (using z-value table ) :
Confidence interval width : w= 0.18
Thus , the margin of error :
Formula to find the sample size ( if prior estimate of proportion is known.):-
Substitute the values , we get
Simplify ,
[Round of to the next whole number.]
Hence, the number of times we would have to flip the coin =<u>84</u>
hence, the correct answer is b) 84
Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
