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3 years ago

The ratio table shows that 4 pounds of tomatoes cost $14. Complete the

Mathematics

1 answer:

valina [46]3 years ago

4 0

Answer:

1 tomato: $3.50

2 tomatoes: $7

3 tomatoes: $10.50

4 tomatoes: $14

Step-by-step explanation:

Ok, to start of if 4 tomatoes cost $14, that means 2 tomatoes cost $7. This probably means 1 tomato cost $3.50 and 3 tomatoes cost $10.50. Hope this helps!

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What is x -2=-11? Algebra

neonofarm [45]

Answer:

-9

Step-by-step explanation:

you'd add 2 to the -11 which would equal -9 and leave you with x=-9

8 0

2 years ago

Read 2 more answers

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.

Anna007 [38]

Answer:

yes; 1.25

Step-by-step explanation:

The length to width ratios of the rectangles are ...

A: 12/8 = 1.5

B: 15/10 = 1.5

C: 30/15 = 2.0

Rectangles A and B have the same aspect ratio, so are similar. Rectangle B is a scaled copy of A with a scale factor of 10/8 = 1.25.

7 0

3 years ago

in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16

yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

Let $\bar X$ = sample mean height

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height = 69 inches

$\sigma$ = population standard deviation = 2.8 inches

n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P( $\bar X$ < 68 inches)

P( $\bar X$ < 68 inches) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{68-69}{\frac{2.8}{\sqrt{16} } }$ ) = P(Z < -1.43) = 1 - P(Z $\leq$ 1.43)

= 1 - 0.9236 = 0.0764

Now, in the z table the P(Z x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0

3 years ago

What is the reciprocal of 1 and 2/3?

mr_godi [17]

Answer: 3/5

Step-by-step explanation: To find the reciprocal of 1 and 2/3, we first need to convert 1 and 2/3 to an improper fraction.

To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.

So here, we multiply the denominator, 3, times the whole number, 1, then we add the numerator. So we have (3 x 1) + 2 or 3 + 2 which is 5.

Now we put our new number over our old denominator and we get 5/3.

However, we're not done yet. We still need to find the reciprocal.

The reciprocal describes a fraction so when we're asked to find the reciprocal of 5/3, we want to switch the numerator and denominator.

So if we switch 5/3, we get the proper fraction 3/5.

Therefore, the mixed number 1 and 2/3 is equivalent to the improper fraction 5/3, and if we switch the top and bottom numbers, we get 3/5.

7 0

3 years ago

A number divided by 12 is equal to 27

Rasek [7]

Answer:

x = 324

Step-by-step explanation:

$\frac{x}{12}$ = 27, where x is the unknown number

multiply both sides by 12:

x = 324

7 0

3 years ago