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Scrat [10]
3 years ago
13

Find the percentages.

Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0

Answer:

The number of boys is 162. The percentage for girls is 55% and for boys is 45%.

<u>Step-by-step explanation:</u>

The formula to find percentage p=\frac{x}{y} ×100.

where x is the part value for that percentage is to be found.

y is the total value.

For girls,

p=\frac{198}{360} ×100.

Percentage for girls p=55%.

For boys,

The Number of boys = 360 - 198.

Boys = 162.

p=\frac{162}{360} ×100.

Percentage for boys p=45%.

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Answer:

-8p^4+12p^3+4p^4-8p^2+3p^2

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2 years ago
A triangle with two congruent sides is always a 45-45-90 triangle.<br><br> A. True<br><br> B. False
MissTica
B. False 

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6 0
3 years ago
Read 2 more answers
Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation o
hjlf

Answer:

46.18% of the items will weigh between 6.4 and 8.9 ounces.

Step-by-step explanation:

We are given that the weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.

<em>Let X =  weight of items produced by a machine</em>

The z-score probability distribution for is given by;

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

where, \mu = mean weight = 8 ounces

            \sigma = standard deviation = 2 ounces

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, percentage of items that will weigh between 6.4 and 8.9 ounces is given by = P(6.4 < X < 8.9) = P(X < 8.9 ounces) - P(X \leq 6.4 ounces)

   P(X < 8.9) = P( \frac{  X -\mu}{\sigma} < \frac{  8.9-8}{2} ) = P(Z < 0.45) = 0.67364  {using z table}

   P(X \leq 70) = P( \frac{  X -\mu}{\sigma} \leq \frac{  6.4-8}{2} ) = P(Z \leq -0.80) = 1 - P(Z < 0.80)

                                                 = 1 - 0.78814 = 0.21186

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.45 and x = 0.80 in the z table which has an area of </em>0.67364<em> and </em>0.78814<em> respectively.</em>

Therefore, P(6.4 < X < 8.9) = 0.67364 - 0.21186 = 0.4618 or 46.18%

<em>Hence, 46.18% of the items will weigh between 6.4 and 8.9 ounces.</em>

8 0
3 years ago
Factoring with Algebra Tiles Represent the quadratic polynomial 2x2 + x – 6 using algebra tiles and determine the equivalent fac
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Answer:

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6 0
3 years ago
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