Answer: a. 0.542
b. 0.051
c. 
Step-by-step explanation:
Let p be the population proportion of parents spend too little time with their children because of work commitments
As per given , we have
n= 369
Since the sample proportion is the best estimate for the population proportion.
So , the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments = 0.542
z-value for 95% confidence interval : 
Margin of error : 
The margin of error = 0.051
Confidence interval : 
95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments :
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
Answer:
-3/5
Step-by-step explanation:
The answer is already in your question. You're asking for the slope of a line with an already stated slope
Answer:
A
Step-by-step explanation:
-4x-10≤2
-4x≤12 Add 10 on both sides
-x≤3 Divide by 4 on both sides
x≤-3 put a negative on both sides
Hope this helps :D Please mark brainliest if correct :D
The total if all 236 coins were nickels would be $11.80, which is $3.95 short of the actual amount.
Replacing a nickel with a dime adds $0.05 to the total value, so there must have been $3.95/$0.05 = 79 such replacements.
There are 79 dimes.
There are 236 -79 = 157 nickels.
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Using the given variables, the problem statement gives rise to two equations. One is the based on the number of coins. The other is based on their value.
- n + d = 236
- .05n +.10d = 15.75
Solving the first for n, we get
... n = 236 - d
Substituting that into the second equation, we have
... .05(236 -d) +.10d = 15.75
... .05d = 15.75 -236·.05 . . . . . collect terms, subtract .05·236
... d = 3.95/.05 . . . . . . . . . . . . . divide by .05
... d = 79
... n = 236-79 = 157
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The solution should look familiar, as it matches the verbal description at the beginning.
