8

The final price of the textbook for an English literature course is 13.5% more than the listed price when tax and shipping costs

GuDViN [60]

Answer:

The final price of the textbook rounded to the nearest dollar is $167

Step-by-step explanation:

To solve this problem, we need to find out what 13.5% of $147 equals.

13.5% = 0.135

0.135 x $147 = $19.845

$147 + 19.845 = 166.845

Round to the nearest dollar to get $167

3 0

3 years ago

Thesumoftwopositivenumbersis16.whatisthesmallest possible value of the sum of their squares?

anygoal [31]

X+y=16
the sum of the squares is
x^2+y^2=sum

solve for y in first equation
x+y=16
y=16-x
subsitiute that for y in other equation

x^2+(16-x)^2=sum
x^2+x^2-32x+256=sum
2x^2-32x+256=sum
take derivitive to find the minimum value (or just find the vertex because the parabola opens up)
derivitive is
4x-32=derivitve of sum
the max/min is where the derivitive equals 0
4x-32=0
4x=32
x=8

at x=8
so then y=16-8=8

the smallest value then is 8^2+8^2=64+64=128

5 0

4 years ago

Question 18 (5 points)

Sveta_85 [38]

Two lines are perpendicular to the same line so they are parallel .

8 0

3 years ago

A study of the US clinical population found that 24.5% are diagnosed with a mental disorder, 14% are diagnosed with an alcohol-r

Keith_Richards [23]

Answer:

Part (A) The probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder is 0.286

Part (B) The probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder is 0.163.

Step-by-step explanation:

Consider the provided information.

A study of the US clinical population found that 24.5% are diagnosed with a mental disorder, 14% are diagnosed with an alcohol-related disorder, and 4% are diagnosed with both disorders.

P(M) = P(Mental disorder) = 24.5% = 0.245

P(A) =P(Alcohol-related disorder) = 14% = 0.14

P(M and A) =P(Both disorder) = 4% = 0.04

Part (A) What is the probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder?

$P(\text{Mental disorder}\mid\text{alcohol-related disorder})=\frac{P(M\ and\ A)}{P(A)}$

$P(\text{Mental disorder}\mid\text{alcohol-related disorder})=\frac{0.04}{0.14}=0.286$

Hence, the required probability is 0.286.

Part (b) What is the probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder.

$P(\text{alcohol-related disorder}\mid\text{Mental disorder})=\frac{P(M\ and\ A)}{P(M)}$

$P(\text{alcohol-related disorder}\mid\text{Mental disorder})=\frac{0.04}{0.245}=0.163$

Hence, the required probability is 0.163.

8 0

3 years ago

Can somebody help me on this question please?!?!?!?!?!?!?!??!?!?!

likoan [24]

B) because the outlier is such a large number, it will be skewed to the right

7 0

3 years ago