A particular frozen yogurt has 75 cal in 2 ounces how many calories are in 8 ounces of the yogurt

Mathematics

2 answers:

Allushta [10]3 years ago

7 0

75 divided by 2 = 37.5
37.5 x 8 = 300

Vesnalui [34]3 years ago

4 0

Just divide 8 by 2 and you'll get 4
Each container is 2 ounces so do 75 times 4 and you'll get 300 calories

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Is 2 , -5 a solution to this system equation 2x + 5y = -19, 6y - 8x = -54 .? Justify your answer

Andreas93 [3]

The easiest way to solve this problem is to put (2, -5) into both equations and see if it satisfies/works for both of them. 2 = x and -5 = y.

So for 2x + 5y = -19,
2(2) + 5(-5) = -19
4 - 25 = -19
-21 ≠ -19.

You can continue and try it out for 6y - 8x = -54
6(-5) - 8(2) = -54
-30 - 16 = -54
-46 ≠ -54

But since (2, -5) already doesn't work for one equation, it cannot be a solution to the system of equations.

3 0

4 years ago

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Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

4.0 | 4.50 | -0.3(4.0) + 6.71 = 5.51 | 4.50 - 5.51 = -1.01

5.9 | 5.50 | -0.3(5.9) + 6.71 = 4.94 | 5.50 - 4.94 = 0.56

7 0

3 years ago

Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c

Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 162, \sigma = 8$