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jarptica [38.1K]
3 years ago
7

Carrie spent 1/4 of her allowance on a shirt 1/3 of her allowance Oscar and eight dollars on the bill if she spent 22 in all how

much was Carrie’s allowance
Mathematics
1 answer:
Lynna [10]3 years ago
4 0

Answer:  $24

<u>Step-by-step explanation:</u>

Let x represent the amount of Carrie's allowance.

\dfrac{1}{4}x+\dfrac{1}{3}x+8=22\\\\\\\dfrac{1}{4}x+\dfrac{1}{3}x=14\\\\\\(12)\dfrac{1}{4}x+(12)\dfrac{1}{3}x=(12)14\\\\\\3x + 4x = (12)14\\\\\\7x=(12)14\\\\\\x=(12)2\\\\\\x=24

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The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th
Aleks04 [339]

Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

n=\frac{z^{2}\sigma^{2}}{e^{2}}

The <u>first step</u> is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, 1-\alpha=0.95 \Rightarrow \alpha=0.05.

Therefore we look for the critical value z_{\alpha/2}=1.96.

Then we calculate the variance:

\sigma = 3.7 \Rightarrow \sigma^{2}=13.69

And we have that:

e=2 \Rightarrow e^{2}=4

<u>Now</u> we replace in the formula with the values we've just obtained:

n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

6 0
3 years ago
Charles is doing renovations on his house. He has budgeted 25% of the cost for new
Rama09 [41]

Answer:

$14,400

<em>Brainliest, please!</em>

<em />

Step-by-step explanation:

25% is furniture, and furniture costs $3600.

So, 3600 x 4 is the total cost, which equals 14400

8 0
2 years ago
I am in a algebra 1 class and we are learning about variables and slope and all that stuff , and also were mainly talking about
kozerog [31]

Answer:

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8 0
2 years ago
This year a softball coach raise $1200 for new equipment that is 4% less then he raise last year how much did he raise last year
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8 0
3 years ago
Either enter an exact answer in terms of \piπpi or use 3.14, point, 14 for \piπpi and enter your answer as a decimal.
OverLord2011 [107]

Answer:

49π sq. units

Step-by-step explanation:

Find the diagram attached

We can find the area of the given circle

Given

diameter of the circle d = 14

Area of the circle = πd²/4

Substitute the given diameter

Area of the circle = π(14)²/4

Area of the circle = 196π/4

Area of the circle = 49π sq. units

Hence the exact answer in terms of π is 49π sq. units

4 0
2 years ago
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