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valentinak56 [21]
3 years ago
15

Calculate x you must include the steps in your solution and the definitions and/or conjecture that u use

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

x = 40

Step-by-step explanation:

(3x - 10) \degree = (2x + 30) \degree \\ (vertical \:  \angle s) \\  \\  \\ 3x - 10 = 2x + 30 \\  \\ 3x - 2x = 30 + 10 \\  \\ x = 40

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6 0
3 years ago
28% of consumers read the ingredients listed on a product's label.
kotegsom [21]

Answer:

The probability that between 64 and 90 of them read the ingredients listed on a product's label is 0.82.

Step-by-step explanation:

We know the proportion of the population, that is π=0.28.

The standard deviation for this sampling distribution is

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.28*0.72}{256} }= 0.028

The value 64 represents a proportion of p=64/256=0.25, and the value 90 represents p=90/256=0.35.

With these values, we can calculate the z-values.

z_1=\frac{p_1-\pi}{\sigma} =\frac{0.25-0.28}{0.028} =\frac{-0.03}{0.028} =-1.07\\\\z_2=\frac{p_2-\pi}{\sigma} =\frac{0.35-0.28}{0.028} =\frac{0.07}{0.028} =2.5

The probability that between 64 and 90 read the ingredients is:

P=P(64

The probability that between 64 and 90 of them read the ingredients listed on a product's label is 0.82.

7 0
3 years ago
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