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3 years ago

I need help with 10,11,12

Mathematics

2 answers:

Alika [10]3 years ago

8 0

There is a formula u can use to solve all of these problems.
percent formula : is/of = %/100

50 is x% of 300
is = 50
of = 300
% = x
now sub

50/300 = x/100
cross multiply
(300)(x) = (50)(100)
300x = 5000
x = 5000/300
x = 16.67%

use the same formula for the other questions.
35% of 150 is x

is = x
of = 150
% = 35

x/150 = 35/100
cross multiply
(100)(x) = (35)(150)
100x = 5250
x = 5250/100
x = 52.5 <==

x is 200% of 40
is = x
of = 40
% = 200

x/40 = 200/100
cross multiply
(100)(x) = (40)(200)
100x = 8000
x = 8000/100
x = 80

pshichka [43]3 years ago

3 0

10. 50 is roughly around ~16% of 300. (16% is 50.1)

11. 35% of 150 would be 52.5

12. 80 is 200% of 40

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2 years ago

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2 years ago

Use technology or a z-score table to answer the question.

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Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question,

$\mu = 240$ .
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Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

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$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

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3 years ago

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Answer:

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