The answer is 157kJ
formula: q=mcT
q= 75 g x 4.18 J/goC x 50 oC
q= 157 kJ
ANSWER
EXPLANATION
From the Pascal's triangle,
The coefficients are :
1, 5, 10,10, 5,1
Because of the negative sign, the expansion will alternate sign.
We now put y=5 into the expansion to get,
Answer:
30%
Step-by-step explanation:
Given data
Area of Home= 2,200 square feet
Area of wood flooring= 660 square feet
The percent of wood flooring in the house can be gotten as
=660/2200*100
=0.3*100
= 30%
Hence the wooden floor occupies 30%.
The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.
Given That,
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards. if the margin of error is 3.4%.
<h3>What is population proportion?</h3>
A population proportion is defined as the percentage of a population that belongs to a individual category. Certainty gaps are used to evaluate population proportions.
Here, the margin of error is 3.4%.
expected population proportion = 58% ± 3.4%
expected population proportion interval = (58% - 3.4%, 58% + 3.4%)
expected population proportion interval = (54.6%, 61.4%).
Thus, The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.
Learn more about population proportion here.
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Answer:
Let the larger number = y and the smaller number = x.
The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,
y = 2x - 10
The sum of the two numbers is 38. Remember sum means add the two numbers to get their result. Therefore,
x + y = 38
Since y = 2x - 10, we rewrite the lower equation as:
x + (2x - 10) = 38
Solving:
3x - 10 = 38
3x = 48
x = 16
The lesser number is 16 and the greater number is 2(16) - 10 or 22.