Answer:
120
Step-by-step explanation:
We know that 36 is 30% of total items
So our equation would be 36/? = 30/100
From there we cross multiply so 36x100 = 3600
From there, we divide 3600 by 100
Therefore, your answer is 120
The concept useful in finding the answer to this item is ratio and proportion, the ratio of the height of your friend with the shadow casted should be proportional to the height of the rock with the length of the shadow it cast. That is,
5.5 ft / 18 ft = x ft/ 209.5 ft
The value of x from the equation above is 64 ft.
The mean of the data set is 26 because the sum of all the data points divided by the number of data points is 26.4 repeating which rounds to 26.
Answer:
A)
A1= 64
A2= 40
B)
P= 56(of whole shape)
Step-by-step explanation:
A squares area is a side squared so 8^2= 64, and it is also shown that a side of the square is the base of the parallelogram. The area of a parallelogram is b*h so (square side)(8) * height(5)= 40.
Since a parallelograms opposite sides are congruent, 8+8=16, and the other two sides need to be congruent and equal to 40-16(24), therefore the sides are both 12.
Then to calculate the perimeter just count up the side lengths, 8+8+8+12+8+12=56
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>