you drink a beverage with 120 mg of caffeine. Each hour, the amount m of caffine in a persons system decreases by 12%. About how much caffeine will be in your system after 3 hours? Round your answer to the nearest milligram

Answers

Answer 1

Answer:

Answer:43.2

Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2

Related Questions

WORTH 100 POINTS WORTH 100 POINTS WORTH 100 POINTS WORTH 100 POINTS HELPPPPPWrite an equation parallel to x-4y=20 that passes through the point 2,-5
brody is working two summer jobs, making $10 per hour babysitting and making $15 per hour cleaning tables. In a given week, he can work a maximum of 13 total hours and must earn at least $150. If x represents the number of hours babysitting and y represents the number of hours cleaning tables, write and solve a system of inequalities graphically and determine on possible solution.
Justine already owns 90 hair bands, and additional hair bands are priced at 5 for a dollar. With $124 to spend on new hair bands, how many total hair bands can Justine own? Write and solve an equation to find the answer.
Look at the picture and help answer question 7 please
In the 1980s land prices in Japan surged upward in a ""speculative bubble."" Land prices then fell for 11 straight years between 1990 and 2001. What can we safely assume happened to land rent in Japan over those 11 years? Use graphical analysis to illustrate your answer.

Spencer earns $12.25 per hour and $18.30 for each hour over 40. Howmuch does Spencer earn if he works 48 hours in a week.

Answers

Answer:

Spencer would earn $636.4

Step-by-step explanation:

Spencer makes $12.25 per hour we would multiply 12.25 by 40 and then do 8x18.30 for the rest 8 hours and we get 146.4 and when we add them together our total is = 636.4

The three perpendicular bisectors of a triangle intersect at the _______.Question 12 options:

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

Answers

Answer:

a) circumcenter

Step-by-step explanation:

You want to know the name of the point of intersection of the three perpendicular bisectors of the sides of a triangle.

Circumcircle

Each side of a triangle is a chord of the circumscribed circle. The perpendicular bisector of a chord is a line through the center of the circle. Hence the point of concurrency of the perpendicular bisectors of the sides of a triangle is the center of the circumscribed circle.

The name of the center of the circle circumscribing a triangle is "circumcenter."

Additional comment

When the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse, which is a diameter of the circle.

a person pays $25 to randomly select one of 5 envelopes containing a different check amount. determine the expected value if the check amounts are $0, $20, $30, $35, and $75

Answers

Answer:

Expected value = $32

Step-by-step explanation:

Given:

Check amount = $0, $20, $30, $35, $75

Find:

Expected value

Computation:

Expected value = [$0 + $20 + $30 + $35 + $75] / 5

Expected value = [$160] / 5

Expected value = $32

PLEASE HELP QUICK I NEED THIS DONE FAST

Answers

The first one: This answer has no solution because it can be rewritten as 0=0

A direct mailing company sells computers and computer parts by mail. The company claims that at least 90% of all orders are mailed within 72 hours after they are received. The quality control department at the company often takes samples to check if this claim is valid. A recently taken random sample of 150 orders showed that 129 of them were mailed within 72 hours. Set up the null and alternative hypotheses to test whether the company’s claim is true?

Answers

Answer:

The null and alternative hypothesis are:

$H_0: \pi=0.9\n\nH_a:\pi<0.9$

There is not enough evidence to support the claim that the company is worng and less than 90% of all orders are mailed within 72 hours after they are received.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The company claims that at least 90% of all orders are mailed within 72 hours after they are received. The company's claim is the null hypothesis, the claim that is going to be tested is if this proportion is significantly less than 90%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.9\n\nH_a:\pi<0.9$

The significance level is 0.05.

The sample has a size n=150.

The sample proportion is p=0.86.

$p=X/n=129/150=0.86$

The standard error of the proportion is:

$\sigma_p=\sqrt{(\pi(1-\pi))/(n)}=\sqrt{(0.9*0.1)/(150)}\n\n\n \sigma_p=√(0.0006)=0.024$

Then, we can calculate the z-statistic as:

$z=(p-\pi+0.5/n)/(\sigma_p)=(0.86-0.9+0.5/150)/(0.024)=(-0.037)/(0.024)=-1.497$

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z<-1.497)=0.0672

As the P-value (0.0672) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that less than 90% of all orders are mailed within 72 hours after they are received.

Final answer:

The null hypothesis is that 90% of all orders are shipped within 72 hours, denoted as H0: p = 0.90. The alternative hypothesis is that less than 90% of all orders are shipped within 72 hours, expressed as HA: p < 0.90.

Explanation:

In hypothesis testing, the null hypothesis represents the theory that has been put forward, either because it is believed to be true or because it is used as a basis for argument. In this case, the null hypothesis would be that 90% of all orders are shipped within 72 hours. This can be formulated as H0: p = 0.90 where p represents the proportion of all orders shipped within 72 hours.

The alternative hypothesis on the other hand is the hypothesis used in hypothesis testing that is contrary to the null hypothesis. Here, the alternative hypothesis would be that less than 90% of all orders are shipped within 72 hours. It can be expressed as HA: p < 0.90 where p remains the proportion of orders shipped within 72 hours.

Learn more about Hypothesis Testing here:

brainly.com/question/31665727

#SPJ

A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitchers mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of pie and include all necessary calculations.

Answers

Answer:

$(\pi )/(100)$

Step-by-step explanation:

The first thing to notice is that the diamond is just a square rotated 45 degrees square, with 90 feet sides, so the total area of the diamond is:

A(square)= l x l = 90 ft * 90 ft = 8100 $ft^(2)$

We also need to calculate the area of the mound, assuming it being a circle:

A(circle)= $\pi * r^(2)$ And r=diameter/2= 18 ft/2 = 9 ft

A(circle) = $\pi * (9 ft)^(2)$ = 81 $\pi ft^(2)$

Now since the ball has an equal chance of bouncing anywhere in the field, the probability would be the ratio of the area occupied by the mound inside of the diamond.

P= $(81\pi ft^(2))/(8100 ft^(2))$ = $(\pi )/(100)$

90(squared) + 90 (squared) = C (squared)
(we use 90 because the base path is 90 ft long since the diamond is a square that makes all sides 90 ft long)
8100 + 8100 = c(squared)
16200 = c(squared)
we will get the square root of 16200 to get the diagonal length
C=127.3 ft, and since it is the diagonal distance we will device it to 2, to get the distance from the pitcher ro the 2nd base.
127.3/2 = 67.7 ft.
67.7 ft is the distance from the pitcher to the 2nd base.

Other Questions

Find the complete time-domain solution y(t) for the rational algebraic output transform Y(s):_________

Meera needs 2 3/4 cups of flour for a batch of cookies and 3 1/3 flour for a dozen muffins. How many cups of flour does Meera need altogether? Show work out please ( for brainliest )

Pls helpp pls pls pls

Calculate the perimeter of a rectangle with a length of 17.5 cm and a width of 40 mm in cm