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Rudik [331]
2 years ago
11

The area and the ratio of the length to the width of a rectangle are given. Find the length and width of the rectangle. Area: 29

4 yd^2 l:w=3:2
Mathematics
1 answer:
Dahasolnce [82]2 years ago
8 0

Answer:

Step-by-step explanation:

L = 3x

w = 2x

Area = 294 ft^2

Formula

Area = L * w

Solution

Area = L * w                   Substitute into formula

294 - 3x  *   2x              Combine the right and switch

6x^2 = 294                    Divide by 6

x^2 = 294/6

x^2 = 49                         Take the square root of both sides

√x^2 = √49

x = 7

w = 2*7 = 2x = 14

L  = 3*7 = 3x  =21

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1 1/3 repeating because you will get the dash over it
7 0
3 years ago
Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca
timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the <u>Mean</u> for sample of taste of pizza in <u>California</u>:

μ₁ = \frac{34+39+40+46+33+31+34+14+15+45}{10} = 33.1

Calculating the <u>Mean</u> for the sample in Iowa:

μ₂ = \frac{28+25+35+16+25+29+24+26+17+20}{10} = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The <u>Variance</u> for the sample in <u>California</u> is

σ² = \frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}σ² = 120.50

The <u>Variance</u> for the sample in <u>Iowa</u> is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in <u>California</u>, the <u>Range</u> is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

  • Mean = 33.1;
  • Variance = 120.50;
  • Range = 32;

For Iowa:

  • Mean = 24.5;
  • Variance = 32.73;
  • Range = 19;

<u />

6 0
3 years ago
Given that the circumferential of a circle is 22cm calculate its diameter​
Ipatiy [6.2K]

Answer:

diameter =7 cm

Step-by-step explanation:

circum=2pi×r

2\pi \times r

2×pi×r=22

2×22÷7×r=22

r=22×7÷44

r=7÷2

r=3.5

d=2×r=2×3.5=7

6 0
2 years ago
F(x) = -x² - 9x - 4 Find f(10) ​
Natasha_Volkova [10]
-194
F(10)= -(10)^2-9(10)-4=-194
5 0
2 years ago
A movie theater sold 1200 tickets and made $6400 in one night. If an adult ticket costs $7 and a children's ticket costs $3, how
ExtremeBDS [4]
So the total number of movie tickets sold was 1200. This means that a + c = 1200 because a represents the number of adult tickets purchased and c represents the number of child tickets purchased. The total money they made off the movie was $6400. This means 7 multiplied by the number of adult tickets would result in the total they earned off adult tickets, and 3 multiplied by the number of child tickets would result in the total they earned off child tickets. This total equals 6400. So 7a + 3c = 6400. These are our two equations: a + c = 1200 and 7a + 3c = 6400. The answer choice that matches this is choice A, so your answer is A. Hope this helps. Feel free to ask more questions, or ask more questions about my explanation.
6 0
3 years ago
Read 2 more answers
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