First you will get the sale price.
you need to convert the percentage to a decimal and to do that you move the decimal over twice:
30% = .30
then multiply the CD price by the decimal
$14.00 X .30 = $4.20
then you have the sales price but you need to find the tax price
to do that you move the decimal of the tax percentage over twice
7% = .07%
then multiply by the price after the sale included
.07 X $4.20 = $0.29
you have how much the tax would be
to get the total price you add the tax to the sales price
$0.29 + $4.20 = $4.42
the price you would be paying for this CD including tax is $4.42
Answer:
Step-by-step explanation:
To find the value of x, Cramer's rule says you replace the x-coefficients with the equation constants to form the matrix whose determinant is the numerator of the fraction. The denominator is the determinant of the matrix of coefficients. The equation constants are 148 and 246, so you expect to find those in the first column of the numerator (answer choices A and C).
The calculation is carried out correctly only in answer choice A.
<em><u>Solution</u></em><em><u> </u></em><em><u>1</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
Statement : corresponding angles in similar triangles must be congruent .
Answer : True
<em><u>Solution</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
Statement : The hypotenuse of a right angle triangle has to be opposite of 90 degree .
Answer : True
Reason : We know that the side opposite to largest angle in a triangle is largest . Since in a right angle triangle 90 degree is the largest angle and hypotenuse is the longest side therefore they must be opposite to each other .
Answer:
it's 4
Step-by-step explanation:
Answer: Required mean would be 15.
Step-by-step explanation:
Since we have given that
Number of girls G= 75
Number of boys B= 100
Probability that girls smoke = P₂ = 0.20
Probability that girls don't smoke = P'₂=1-0.20=0.80
Probability that boys smoke = P₁ = 0.30
Probability that boys don't smoke = P'₁=1-0.30=0.70
We need to find the mean of the sampling distribution of the difference in the sample proportion of girl smokers and boys smokers.
So, it becomes,
![E[P_1-P_2]=E[P_1]-E[P_2]\\\\=B\times P_1-G\times P_2\\\\=100\times 0.30-75\times 0.20\\\\=30-15\\\\=15](https://tex.z-dn.net/?f=E%5BP_1-P_2%5D%3DE%5BP_1%5D-E%5BP_2%5D%5C%5C%5C%5C%3DB%5Ctimes%20P_1-G%5Ctimes%20P_2%5C%5C%5C%5C%3D100%5Ctimes%200.30-75%5Ctimes%200.20%5C%5C%5C%5C%3D30-15%5C%5C%5C%5C%3D15)
Hence, required mean would be 15.
