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4 years ago

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Mathematics

1 answer:

AlladinOne [14]4 years ago

5 0

The third one, for every 6 french fries, there is 1 packet of ketchup.

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The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the mean steer weight is 1100lbs.

gizmo_the_mogwai [7]

Answer:

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

P(920≤ x≤1730) = 0.7078

Step-by-step explanation:

Step(i):-

Given mean of the Population = 1100 lbs

Standard deviation of the Population = 300 lbs

Let 'X' be the random variable in Normal distribution

Let x₁ = 920

$Z = \frac{x-mean}{S.D} = \frac{920-1100}{300} = - 0.6$

Let x₂ = 1730

$Z = \frac{x-mean}{S.D} = \frac{1730-1100}{300} = 2.1$

Step(ii)

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

P(x₁≤ x≤x₂) = P(Z₁≤ Z≤ Z₂)

= P(-0.6 ≤Z≤2.1)

= P(Z≤2.1) - P(Z≤-0.6)

= 0.5 + A(2.1) - (0.5 - A(-0.6)

= A(2.1) +A(0.6) (∵A(-0.6) = A(0.6)

= 0.4821 + 0.2257

= 0.7078

Conclusion:-

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

P(920≤ x≤1730) = 0.7078

5 0

3 years ago

Match the pairs of variables with the type of relationship they show.

STatiana [176]

Answer:

1. increase in population and increase in jobless = causation

2. increase in snow fall and increase in personal income = no relationship

3. increase in literacy rate and increase in doctors = correlation

Step-by-step explanation:

1. people without jobs is CAUSED by a population spike

2. weather cannot affect your paycheck, so no relationship

3. more doctors means they scored higher on literacy, but it's iffy so correlation

Hope this helps :)

7 0

3 years ago

By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 sli

photoshop1234 [79]

Answer:

cholesterol in egg= 273 mg

cholesterol in cupcake = 18 mg

cholesterol in slice of pizza = 9 mg

Step-by-step explanation:

Given data:

1 egg , 1 cupcake , 1 slice of pizza = 300mg

3 cupcakes , 4 slices of pizza = 90mg

2 eggs , 1 cupcake = 564mg

Let egg be x , let cupcake be y and let pizza be y

x + y + z = 300 (equation 1)

0x + 3y + 4z = 90 (equation 2)

2x + y + 0z = 564 (equation 3)

Using equation 1 and equation 2

x + y + z = 300 (Multiply equation by 3)

0x + 3y + 4z = 90

3x + 3y +3z =900

0x +3y +4z = 90 (Subtracting the equations)

3x - z = 810 (equation 4)

Using equation 2 and equation 3

0x + 3y + 4z = 90

2x + y + 0z = 564 (Multiply equation by 3)

0x + 3y + 4z = 90

6x +3y + 0z = 1692 (Subtracting the equations)

-6x +4z =-1602 (equation 5)

Solving equation 4 and equation 5

3x - z = 810 therefore z =3x -810

Substituting z into equation 5

-6x +4(3x - 810) =-1602

-6x + 12x - 3240 = -1602

6x = -1602+3240

6x = 1638

x = 273

Substituting x into z = 3x - 810

z = 3(273) - 810

z = 819-810

z = 9

Using equation 1 to find y

x + y + z = 300

273 + y + 9 = 300

282 + y = 300

y = 300-282

y = 18

5 0

3 years ago

Rachel read 30 minutes for every 10 minutes that she spent watching television. Nicolas read 45 minutes for every 15 minutes tha

stich3 [128]

Answer:

B.different

Step-by-step explanation:

Rachel read 30 minutes for every 10 minutes that she spent watching television

30 - 10 = 20

Nicolas read 45 minutes for every 15 minutes that he watched television

45 - 15 = 30

Hope It Helps Friend :)

4 0

3 years ago

One minus five sixths equals

Gnesinka [82]

Answer: 0.16666666666

Step-by-step explanation:lol

5 0

3 years ago

Read 2 more answers