We'll take out LCM of 24 seconds and 28 seconds.
that is, 168 seconds.
That means,
Car A and Car B will be side by side to each other after 2 mins 48 seconds after start.
Given:
QSR is a right triangle.
QT = 10
TR = 4
To find:
The value of q.
Solution:
Hypotenuse of QSR = QT + TR
= 10 + 4
= 14
Geometric mean of similar right triangle formula:
![$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Ctext%20%7B%20hypotenuse%20%7D%7D%7B%5Ctext%20%7B%20leg%20%7D%7D%3D%5Cfrac%7B%5Ctext%20%7B%20leg%20%7D%7D%7B%5Ctext%20%7B%20part%20%7D%7D%24)
![$\Rightarrow \frac{14}{q} =\frac{q}{4}](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Cfrac%7B14%7D%7Bq%7D%20%3D%5Cfrac%7Bq%7D%7B4%7D)
Do cross multiplication.
![$\Rightarrow14\times 4 =q\times q](https://tex.z-dn.net/?f=%24%5CRightarrow14%5Ctimes%204%20%3Dq%5Ctimes%20q)
![$\Rightarrow 56 =q^2](https://tex.z-dn.net/?f=%24%5CRightarrow%2056%20%3Dq%5E2)
Switch the sides.
![$\Rightarrow q^2 =56](https://tex.z-dn.net/?f=%24%5CRightarrow%20q%5E2%20%3D56)
Taking square root on both sides.
![\Rightarrow q =2 \sqrt{14}](https://tex.z-dn.net/?f=%5CRightarrow%20q%20%3D2%20%5Csqrt%7B14%7D)
The value of q is
.
Answer:
The alternative hypothesis is
.
The critical value is ![Z_c = 1.645](https://tex.z-dn.net/?f=Z_c%20%3D%201.645)
Step-by-step explanation:
It is claimed that proportion in favor of proportion A is greater than 60%.
This means that at the null hypothesis, we test if the proportion is of at most 60%, that is:
![H_0: p \leq 0.6](https://tex.z-dn.net/?f=H_0%3A%20p%20%5Cleq%200.6)
At the alternative hypothesis, we test if the proportion is more than 60%, that is:
![H_1: p > 0.6](https://tex.z-dn.net/?f=H_1%3A%20p%20%3E%200.6)
What is (are) the critical value?
The critical value is the value of Z with a p-value 1 subtracted by the standard significance level of 0.05, since we are testing if the mean is more than a value, so, looking at the z-table, ![Z_c = 1.645](https://tex.z-dn.net/?f=Z_c%20%3D%201.645)
Answer:
11. 10, 20,30,40,50,60,70
12. 35, 45,55,65,75,85,95
Step-by-step explanation:
10 dollars per week for 7 weeks in equivalent to 10x7 which equals $70.
If you already had $25 you would do 10x7+25. Using PEMDAS you would multiply first (10x7=70) then add 25 (70+25=95)
<span>The way how claiming more allowances on a W-4 form affect the deductions on a paycheck is shown in the second option: less will be deducted for taxes. The W-4 form is meant to tell the employer the actual amount of tax to withhold from a paycheck. There is an unwritten law of this system: the more allowances you claim, the less tax will be withheld from each paycheck. And the same happens with fewer allowances- the larger withholding amount, which can lead to a refund.</span>