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2 years ago

There are 8 cups of pasta in 22 servings. Write a proportion that gives the number x of cups of pasta in 3 servings.

Mathematics

1 answer:

Lisa [10]2 years ago

6 0

Answer:

Step-by-step explanation:

Cups: servings

8 : 22 :: x : 3

Product of means = product of extremes

22*x = 3*8

$x = \dfrac{3*8}{22}=\dfrac{3*4}{11}=\dfrac{12}{11}=1\dfrac{1}{11}$

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Harriet works at the Mint, where new coins are made. Old and fake coins are also destroyed there. Harriet has 10 bags of $1 coin

Aloiza [94]

Answer:

3 times

Step-by-step explanation:

She would have to weigh the fake coins and another bag of real coins to spot a difference, and then she would need to check another bag to see which was correct. Maybe thats right.

4 0

3 years ago

Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time.

Klio2033 [76]

Answer:

B. $y = \frac{50}{3} x$

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2 years ago

What would be the final elevation if a moth is flying at at 9 meters above the ground and changes by -4?

quester [9]

5 because this is equivalent to 9-4 which is 5 meters, this is because he is going up 9 and then goes down 4, do 9-4, which is 5

6 0

3 years ago

22.a) A fruit vendor bought 1948 oranges on a Thursday and sold 750 of them on the same day.

iVinArrow [24]

Answer: Ksh 6144

Step-by-step explanation:

On Thursday, a fruit vendor bought 1948 oranges on a Thursday and sold 750. The number of oranges left will be: = 1948 - 750 = 1198

On n Friday, he sold 240 more oranges than on Thursday. This means the number of oranges sold is: = 240 + 750 = 990.

The number for f oranges left will then be: = 1198 - 990 = 208

On Saturday, he bought 560 more

oranges, the total oranges that the vendor has now will be:

= 208 + 560 = 768

Since sold all the oranges he had at a price of Ksh. 8 each, the amount if money made will be:

= Ksh 8 × 768

= Ksh 6144

The vendor made Ksh 6144

7 0

2 years ago