Answer:
Step-by-step explanation:
Actually Welcome to the Concept of the linear equations..
Here given value of x= 5 and y =1 , so we get as,
5a + b = 38 and 5b - a = 8
so, now we multiply equation no. 2 by 5 all over.
==> 25b - 5a = 40....(1)
hence adding new equation and equation no. 1
26b = 78
b = 78/26
hence b = 3 , and a = 7
Answer:
3/10 and 4/10 4/12 and 9/12
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
-3x + 6 = 18...subtract 6 from both sides
-3x = 18 - 6
-3x = 12...divide both sides by -3
x = -12/3 reduces to -4 <===
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>