Answer:
0.0035289
Step-by-step explanation:
From the question;
mean annual salary = $63,500
n = sample size = 31
Standard deviation = $6,200
Firstly, we calculate the z-score of $60,500
Mathematically;
z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941
So we want to find the probability that P(z < -2.6941)
We can get this from the standard normal table
P( z < -2.6941) = 0.0035289
Given :
Apa-bear weighs 250 lb.
Mama-bear weighs 50 pounds less than Papa-bear does.
Their 2 cubs weigh 80 pounds each.
To Find :
The total weight of the Bear family .
Solution :
Weight of mama bear =
.
Total weight is the sum of all all weight .


Therefore , total weight of the Bear family is 610 lb .
Hence , this is the required solution .
We do so to follow the rule of divisibility of each term(numbers).
<h2 /><h3><u>The Rule of Divisibility:</u></h3>
The rule of divisibility of numbers is a method applied in mathematics used to determine if a number or set of numbers is divisible by a particular integer without any remainder.
Let assume that we have a series of numbers;
From the rule of divisibility, since all the numbers are multiples of 2;
We can deduce that 2 can be the factor that is pulled out from the series to divide each term in the sum.
Learn more about the rule of divisibility here:
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9514 1404 393
Answer:
-3, 7, 8
Step-by-step explanation:
You can fill in the boxes from the table values as shown in the attachment.
The leading coefficient is negative because the parabola opens downward. The value of it is the change in y-value as x changes by 1 unit either side of the vertex.
The vertex is identified by the fact that the y-values are symmetrical either side of the vertex.
The value of a is 72.74.
<h3>What is Probability ?</h3>
Probability is the study of likeliness of an event to happen.
It is given that
The mean
of the distribution is 70
Standard deviation
is 2
p( x<a) = 0.9147
a = ?
From Z table
For p ( p < 0.9147) , z = 1.37


a = 70+ 2*1.37
a = 72.74
Therefore the value of a is 72.74.
To know more about Probability
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