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skelet666 [1.2K]
2 years ago
12

Carmens painting wins second prize in the contest. The painting that wins first prize has an area that is 3.2 times smaller than

the greatest area the rules allow which is 3,003.04 cm2. What is the area of the first prize painting?
Mathematics
2 answers:
vredina [299]2 years ago
5 0

Answer: There is area of 938.45 cm² of first prize painting.

Step-by-step explanation:

Since we have given that

Greatest area = 3003.04 cm²

The painting that wins first prize has an area that is 3.2 times smaller than the greatest area.

That means,

3.2 × Area of first prize painting = Greatest painting

So, the area of the first prize painting is given by

=\frac{3003.04}{3.2}=938.45\ cm^2

Hence, there is area of 938.45 cm² of first prize painting.

velikii [3]2 years ago
3 0
938.45 cm2 is the correct answer to this.
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The equation of a circle is (x + 12)2 + (y + 16)2 = (r1)2, and the circle passes through the origin. The equation of the circle
Furkat [3]
For an equation to pass through the origin, (0,0) must be a solution of the equation. So, for the first one, 

(x + 12)^{2} + (y + 16)^{2} = r_{1}^{2}

(0, 0) must satisfy the equation and we can solve for the value of r₁ as shown below.

(0 + 12)^{2} + (0 + 16)^{2} = r_{1}^{2}
12^{2} + 16^{2} = r_{1}^{2}
r_{1} = \sqrt{12^{2} + 16^{2}}
r_{1} = 20

Since the second equation of the circle also passes through the origin, we use the same steps from the first one.

(0 - 30)^{2} + (0 - 16)^{2} = r_{2}^{2}
r_{2} = \sqrt{30^{2} + 16^{2}}
r_{2} = 34

Thus, we have the values for r₁ and r₂ as 20 and 34, respectively.

Answer: r₁ = 20 and r₂ = 34
7 0
2 years ago
Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.
lidiya [134]

Answer: B) 4

Step-by-step explanation:

Using the formula

Standard deviation = √( (Σ ( x - π)²)/n)

To get the standard deviation, first we workout the Mean which is the simple average of the data set

n = 4

(13 + 17 + 9 + 21) / 4 = 60/4 = 15

Mean(x) = 15

Then (x-π)²

13 - 15 = (-2)² = 4

17 - 15 = (2)² = 4

9 - 15 = (-6)² = 36

21 - 15 = (6)² = 36

Σ ( x - π)² = (4 + 4 + 36 + 36) = 80

Standard deviation = √( (Σ ( x - π)²)/n

= √ (80/4)

=√20

= 4.47

= 4

7 0
2 years ago
What is the value of 3 in 630
marysya [2.9K]
We can write 630 in expanded form as:
630 = 600 + 30 + 0
and in words:
630 = 6 hundreds, 3 tens and zero ones
the value 6 is 600
and the place value of 3 is 30 and the face value is 3 in the number 630.
4 0
2 years ago
Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean? [4, 1,
Serhud [2]

Arranging data in ascending order to identify the outlier and calculate the mean

Step-by-step explanation:

Given the data as: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arrange in ascending order

                               [1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is 32

Finding the mean;

Mean=sum of data set/number of data set

Sum= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Number of data set=11

Mean=124/11=11.27

Learn More

Outliers: brainly.com/question/12612191

Keywords: display,data, numbers,outliers,mean

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3 0
2 years ago
A certain temperature measurement is performed 500 times. The mean value is 0 deg F and the standard deviation is 1 deg F. Assum
egoroff_w [7]

Answer:

477

Step-by-step explanation:

Given that:

Number of trials (n) = 500

Mean (m) = 0

Standard deviation (s) = 1

how many readings fall within +/- 2.000 deg F of the mean value

Mean of 0 and standard deviation of 1

P(-2 ≤ x ≤ 2)

Using the Z probability calculator :

P(x ≤ 2) = 0.97725 ;

P(x ≤ - 2) = 0.02275

Hence :

P(x ≤ 2) - P(x ≤ - 2) = 0.97725 - 0.02275 = 0.9545

Hence, number of readings in 500 trials:

0.9545 * 500 = 477.25

= 477 values

6 0
1 year ago
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