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Rzqust [24]
3 years ago
13

Janet can do a job in three hours while Gary can do the same job in two hours. If Janet works for an hour before Gary be in help

ing her how long will it take them to finish the job together?
Mathematics
2 answers:
yKpoI14uk [10]3 years ago
6 0

Janet = 1/3

Gary = 1/2

(1/3) + (1/2) = 5/6

Let x = time they both can do the job together

(1/2) + (5/6)x = 1

Solve for x to find your answer.

Oxana [17]3 years ago
6 0

Answer:

Janet = 1/3

Gary = 1/2

(1/3) + (1/2) = 5/6

Let x = time they both can do the job together

(1/2) + (5/6)x = 1

Solve for x to find your answer.

Step-by-step explanation:

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A car uses 12 gallons to travel 100 miles. How many gallons would it use to travel 450 miles?
rosijanka [135]

54 gallons

Step-by-step explanation:

  • 12 × 4.5 =54 gallons

4 0
2 years ago
Find the inverse of f(x)=1/(x^3)
Pepsi [2]

Answer:

Step-by-step explanation:

yf(x)^{-1}  = inverse\\f(x)=y \\y = 1/(x^{3} \\Inverse: y=x ------------> x = 1/y^{3}\\y^{3} - \frac{1}{x} = 0\\y^{3} = \frac{1}{x}\\y = \sqrt[3]{\frac{1}{x}} \\y = \frac{\sqrt[3]{1} }{\sqrt[3]{x}} \\y = \frac{1}{\sqrt[3]{x}}

4 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
2a+4(7+5a)I need help
kolezko [41]

2a+4(7+5a)

Distribute 4 into 7 and 5a

2a+28+20a

Combine like terms

Final Answer: 22a+28

6 0
2 years ago
Read 2 more answers
Can some one please help me ???!
Sedaia [141]
45 = 3x3x5
Or you could simplify it to 3^2x5
4 0
3 years ago
Read 2 more answers
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