Answer:
a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.
He does this 4 times so;
= 4 * -11
= -$44
b. He then deposits $11 once every day for 4 days.
= 4 * 11
= $44
c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.
Answer:
There are 9,313,920 inches in 147 miles
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:

<u><em>Calculate</em></u>
<u><em /></u>
<u><em>Cross out the common factor</em></u>
<u><em /></u>
<u><em>Multiply a number to both the numerator and the denominator</em></u>
<u><em /></u>
<u><em>Write as a single fraction</em></u>
<u><em /></u>
<u><em>Calculate the product or quotient</em></u>
<u><em /></u>
<u><em>Calculate the product or quotient</em></u>
<u><em /></u>
<u><em>Rewrite a fraction with denominator equals 100 to a percentage</em></u>
<u><em /></u>
%
<em>I hope this helps you</em>
<em>:)</em>
Answer:

Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z = 
Simplify,
z = 
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10(
)
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95
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 