In a neighborhood, 2/5 of the houses are painted yellow. If there are 24 houses that are not painted yellow, how many yellow hou
1 answer:
Answer:
There are 16 yellow houses in the neighborhood.
Step-by-step explanation:
We have that:
2/5 = 40% of the houses are painted yellow
1 - 2/5 = 3/5 = 60% of the houses are not painted yellow
If there are 24 houses that are not painted yellow, how many yellow houses are in the neighborhood?
The first step is finding the total number of houses in the neighborhood.
We have that 24 are not painted yellow, and this is 60%(0.6 decimal). How much is 100%?
We solve a rule of three
24 houses - 0.6
x houses - 1
There are 40 houses. Of those, 40% are painted yellow.
0.4*40 = 16.
There are 16 yellow houses in the neighborhood.
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Answer:
0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00
Step-by-step explanation:
Mean =
Standard deviation =
We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00
P(14<x<16)
Formula :
At x = 14
Refer the z table for p value
P(x<14)=0.1922
At x = 16
Refer the z table for p value
P(x<16)=0.6141
P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42
So, Option C is true
Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00
Answer:
The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal can be given as:
Step-by-step explanation:
The complete question is:
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.
Solution:
Given:
Darcie wants to crochet a minimum of 3 blankets to donate.
Rate at which she crochet = of a blanket per day.
Maximum number of days she has = 60.
To find the number of days Dancie can skip out of 60 days and still reach her goal.
Let represent the number of days she can skip.
Number of days left to crochet = days
At rate of of a blanket per day, number of blankets Dancie can corchet in
days can be given as :
⇒
Simplifying using distribution.
⇒
⇒
Dancie needs to crochet a minimum of 3 blankets to reach her goal.
Thus, the inequality can be given as:
Solving the inequality for
Subtracting 4 both sides.
Multiplying both sides by -15.
[On multiplying by a negative number the sign of inequality reverse]
∴
Thus, Dancie can skip a maximum of 15 days.