Add 70+93, then divide by the number of numbers, which is 2.
70+90=163
163/2=81.5
Hope this helps!
Step-by-step explanation:
All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.
Answer:
a) 151lb.
b) 6.25 lb
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that:

So
a) The expected value of the sample mean of the weights is 151 lb.
(b) What is the standard deviation of the sampling distribution of the sample mean weight?
This is 
For the sum we have the following properties:
The properties are commutative, asosiative, distributive and neutral element.
Commutative property: When two numbers are added, the result is the same regardless of the order of the addends.
Associative property: When three or more numbers are added, the result is the same regardless of the order in which the addends are added.
Neutral element: The sum of any number and zero is equal to the original number.
Distributive property: The sum of two numbers multiplied by a third number is equal to the sum of each summand multiplied by the third number.<span><span>
</span><span>For subtraction we have:
</span><span> The arithmetic operation of the subtraction (subtraction) is indicated by the minus sign (-) and is the opposite, or inverse, operation of the addition. </span><span>That is, it is an arithmetic operation that serves to find the difference between two numbers.
</span><span>
In subtraction A - B = D
</span><span>A is the minuendo
</span><span>B is the substraendo
</span><span>D is the difference
</span><span>Answer:
</span><span>The properties of addition and subtraction serve to rewrite and simplify calculations.</span></span>
Answer:
Step-by-step explanation:
Use synthetic division to answer this. If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.
We use -7 as the divisor in synth. div. This comes from the factor (x + 7):
-7 / 1 3 2 -8
-7 28 -210
-------------------------
1 -4 30 -218
Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.