The number of kids in your group is 12.
Step-by-step explanation:
Given,
Number of people = 20
Cost of each kid ticket = $4
Cost of each adult ticket = $6
Total spent = $96
Let,
x be the number of kids ticket
y be the number of adult ticket
According to given statement;
x+y=20 Eqn 1
4x+6y=96 Eqn 2
Multiplying Eqn 1 by 4

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 2

Putting y=8 in Eqn 1

The number of kids in your group is 12.
Keywords: linear equation, elimination method
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Answer:
x=7/6
Step-by-step explanation:
x+2/4=5/3
-2/4 -2/4
x=5/3-2/4=7/6
29.75/8.5=x/4.5
using the "butterfly method"
8.5x=133.875
/8.5 /8.5
x=15.75
You have to make a proportion
Answer:
The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.
Step-by-step explanation:
We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.
<u><em>Let X = weights of adult male birds of a certain species</em></u>
So, X ~ Normal(
)
The z score probability distribution for normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean weight = 27.5 grams
= standard deviation = 1.1 grams
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, the z-score of a male bird of this species with a weight of 29.37 grams is given by;
<u>Z score</u> =
=
= <u>1.7</u>
Answer:
c.13.7mi, A=33.3°, B=56.7°