Answer:
$3,659.82
Step-by-step explanation:
Adding to the checkbook those debits and credits not already there brings its balance to ...
... $3045.58 +651.84 -37.60 = $3659.82
Adjusting the bank's balance by the deposits and checks not already there brings its balance to ...
... $4262.92 +220.05 -325.50 -497.65 = $3659.82
Thus, the reconciled accounts will agree on the balance $3659.82.
Step-by-step explanation:
![\angle \: ABD = 30 \degree \\ and \\ \angle \:CBD = 60 \degree \\ are \: a \: pair \: of \: adjacent \: complementary \: \\ angles.](https://tex.z-dn.net/?f=%20%5Cangle%20%5C%3A%20ABD%20%3D%2030%20%5Cdegree%20%20%20%5C%5C%20and%20%5C%5C%20%20%5Cangle%20%5C%3ACBD%20%3D%2060%20%5Cdegree%20%5C%5C%20are%20%5C%3A%20a%20%5C%3A%20pair%20%5C%3A%20of%20%5C%3A%20adjacent%20%5C%3A%20complementary%20%5C%3A%20%5C%5C%20%20angles.)
Answer:
A or ![\frac{1}{2}x +2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%20%2B2)
Step-by-step explanation:
Remember y=mx+b | m = slope & b = y intercept
Think back of rise over run. Where the rise is 1 and 2 is run. Now Also, lets not forget the y intercept which you can easily obtain by looking where the line intercepts the y axis. Which in this case it would be 2.
Answer:
45 square units
Step-by-step explanation:
You can cut the yellow figure into a triangle (4 by 5) and a rectangle (7 by 5).
Using the formula
and
area formulas, we get:
![\frac{1}{2} *4*5+7*5=\\2*5+7*5=\\10+35=\\45](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A4%2A5%2B7%2A5%3D%5C%5C2%2A5%2B7%2A5%3D%5C%5C10%2B35%3D%5C%5C45)
The area shaded in yellow is 45 square units
Answer:
Explained below.
Step-by-step explanation:
(1)
The hypothesis can be defined as follows:
<em>H</em>₀: The Speedy Oil Change will change the oil in customers’ cars in more than 30 minutes on average, i.e. <em>μ</em> > 30.
<em>H</em>ₐ: The Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average, i.e. <em>μ</em> ≤ 30.
(2)
Use Excel to compute the sample mean and standard deviation as follows:
![\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Ctext%7BAVERAGE%28array%29%7D%3D24.917%5C%5C%5C%5Cs%3D%5Ctext%7BSTDEV.S%28array%29%7D%3D8.683)
Compute the test statistic as follows:
![t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%20x-%5Cmu%7D%7Bs%2F%5Csqrt%7Bn%7D%7D%3D%5Cfrac%7B24.917-30%7D%7B8.683%2F%5Csqrt%7B36%7D%7D%3D-3.51)
The degrees of freedom is:
df = n - 1
= 36 - 1
= 35
Compute the p-value as follows:
![p-value=P(t_{35}](https://tex.z-dn.net/?f=p-value%3DP%28t_%7B35%7D%3C3.51%29%3D0.0006)
(3)
The <em>p</em>-value = 0.0006 is very small.
The null hypothesis will be rejected at any of the commonly used significance level.
(4)
There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average.