Researchers at a drug company are testing the duration of a new pain reliever. The drug is normally distributed with a
mean duration of 240 minutes (4 hours) and a standard deviation of 40 minutes. The drug is administered to a
random sample of 10 people. (Round means, standard deviations, and z-scores to the nearest hundredth, if
necessary.)
1. What is the population mean? 240
✓ (in minutes)
2. What is the population standard deviation? 40
✓ (in minutes)
3. What is the sample size? ,10
4. Can normal approximation be use for this problem?
Yes, it is given that the population distribution is normally distributed
.
<
5. What is the mean of the sample means? 240
✓ (in minutes)
6. What is the standard deviation of the sample means? 12.65
What is the probability that the drug will wear off in less than 200 minutes?
1. What is the z-score? 0.2
X
2. What is the requested probability? P(x =
<
200
✓= 0.91
x
Х
What is the probability that the drug will wear off after 220 minutes?
1. What is the z-score?
-2
X
2. What is the requested probability? P(x =
>
220
✓ = 0.866
X
What is the probability that the drug will wear off between 200 and 220 minutes?
1. P(200 < x < 220)
=
0.418
X

#1

Lets verify

Yes verified

#2

Lets verify

Yes verified

Rule to be noted:-

If ax²+bx+c be a function

Then

First, we need to find how many years are in between 1977 and 2004:
2004-1977 = 27

And the different between the prices:
175-15 = $160

Since this is supposed to be linear, we can do 160/27 which is about 5.925.

We can round this out to be about $6 cheaper per year, or $5.90.

Answer:

[tex]\displaystyle 380,13271108...\:yd.^2[/tex]

Step-by-step explanation:

[tex]\displaystyle {\pi}r^2 = A \\ \\ 11^2\pi = A \hookrightarrow 121\pi = A \\ \\ \boxed{380,13271108... = A}[/tex]

If you want to follow what the exercise wants, then multiplying [tex]\displaystyle 3,14[/tex]by the square of the radius will give you [tex]\displaystyle 379,94\:yd.^2.[/tex]

I am joyous to assist you at any time.

Answer:

No

Step-by-step explanation:

Tyler is incorrect. The only way you can set individual terms equal to the result is when the result is zero. This is due to zero times anything equalling zero. If one of the terms equals zero, then the other term does not matter because the whole thing will be zero. Let's say:

[tex](2 - x)(x + 1) = 0[/tex]

If the first term equals zero, the entire left side is zero. For Priya's case, the right side is not zero, it is 11. If one term is 11, the other term will contribute. You can check this by plugging in Tyler's solutions. The correct way to solve this equation is to use FOIL on the two terms, then subtract 11 on both sides to get zero. Then use the quadratic formula.

Answer:

It will land 7.5 times on tails, which is rounded up to 8 times

Step-by-step explanation:

there are 2 possibilities, heads or tails

so you divide 15 in 2 and get 7.5

The coin will land 7 times tail based on the experimental probability.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

When the coin tossed 45 times.

Head= 24, tail = 21

So, fraction of appearing tail will be

= 21 / 45

= 0.466667

Now, if the coin tossed 15 times then the coin land on tails

= 15 x 0.466667

= 7

Learn more about Probability here:

brainly.com/question/11234923

#SPJ2

Answer:

A. is the correct answer.

Branliest????

Step-by-step explanation:

Answer:

e is the amount of people

Step-by-step explanation:

4 x so let’s say you have two x you have 50% of the people that said yes.

Answer:

the answer is 1,240

Step-by-step explanation:

you have to add them all up and you will git 1,240.hope this helps if not please let me know

Answer:

C

Step-by-step explanation:

C is rectangle

Rectangles have 2 sets of parallel lines

Answer: C. Forty dollars.

Step-by-step explanation: $5 times eight hundreds equals forty, therefore you will get $40 from the bank.

40 if u take 100 8 times then it will be 800 and You only times 8by 5 then or 5by 8

also if possible can i have brainliest

Answer:

Its d

Step-by-step explanation:

why did you delete my answer??

Based on the variable costs and contribution margin, the unit sales price is $80 and the unit contribution margin is $32.

The sales volume in units needed to earn $600,000 is 43,750 units and the amount in dollar sales needed is $3,500,000.

The unit sales price can be found as:

= Variable cost / (1 - contribution margin ratio)

= 48 / (1 - 40%)

= $80

Unit contribution margin is:
= Selling price x Contribution margin ratio

= 80 x 40%
= $32

In units, this amount is:
= (Fixed cost + income required) / Contribution margin

= (800,000 + 600,000) / 32

= 43,750 units

In dollar terms the amount needed is:

= Units needed x selling price

= 43,750 x 80

= $3,500,000

Find out more on contribution margin at https://brainly.com/question/24039258.

Answer:

9.45 liters

Step-by-step explanation:

3.5 bowls x 2.7 liters= 9.45 total liters

Answer:

Sublimation - is the transformation from a solid to gas.

Hope this helps!

Answer:

38.1333333334

Step-by-step explanation:

Perimeter of rectangle:

2 × (length + width) inches

2 × (7 2/5 + 11 2/3) inches

2 × 19.0666666667 inches

38.1333333334

Answer:

it will move from (3,5) to (1,3)

since the selling price is 89.83 and the cost of is 76, the tax amount is 89.83 - 76 = 13.83.

if we take 76 to be the 100%, what is 13.83 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 76 & 100\\ 13.83& x \end{array} \implies \cfrac{76}{13.83}=\cfrac{100}{x} \\\\\\ 76x=1383\implies x=\cfrac{1383}{76}\implies x\approx 18.20[/tex]

Answer:

Step-by-step explanation:

Quadrant I examples:

Quadrant II examples:

Quadrant III examples:

Quadrant IV examples:

Answer:

x = 4

Step-by-step explanation:

I don't know I tried i just divided 3 by 3x and 12

Answer:

57/40

Step-by-step explanation:

So we need to find the LCD, or the least common denominator.  The LCD is 40.  Now, we do a transition to find the new numerator.

[tex]\frac{4}{5} =\frac{x}{40} \\\\\\frac{5}{8} = \frac{x}{40}[/tex]

The new equation is this:

[tex]\frac{32}{40} +\frac{25}{40}[/tex]

Now we use our common sense.  32+25=57

57/40.

You can't simplify this...

Answer:

20

Step-by-step explanation:

36/9 = 4

4x5= 20

Answer: 35

Step-by-step explanation: The reason is that 7 × 5 = 35 and when you multiply two negative numbers they make the answer positive. I hope this helped!

Answer:

35

Step-by-step explanation:

7 times 5 equals 35. Even though the two numbers are positive, the product will be negative, because a negative times a negative equals a positive. A negative times a negative will equal a positive because what was originally negative has been reversed in direction.

So, the answer is 35.

hope this helps!

Answer:

1

Step-by-step explanation:

The only common factor is one. If an odd number and and even number are next to each other, and you are calculating the common factors, the common factor is one.

Answer:

D 1,380

Step-by-step explanation:

V = area of base × height

V = 172.5 cm² × 8 cm

V = 1380 cm³

Step-by-step explanation:

I'm assuming the question is how many miles in total did mary swim.

if this is the case then we just multiply the number of days by the number of miles per day.

Hence,

3/4 × 8 = 6

so 6 miles in total.

make sure to ask if you need any further help

Answer:

19.

Step-by-step explanation:

Answer:

[tex]\sf y=3x+2[/tex]

Step-by-step explanation:

Point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

Given:

Substituting given values into the equation to find the equation of the line:

[tex]\implies \sf y-17=3(x-5)[/tex]

[tex]\implies \sf y-17=3x-15[/tex]

[tex]\implies \sf y=3x+2[/tex]

Answer:

9+ – 12(34) + 27 = 0, A= 3*

Use substitutionStep-by-step explanation:

Answer:

[tex]x + y = -2\\x-y=8[/tex]

Step-by-step explanation:

3 is the [tex]x[/tex], and -5 is the [tex]y[/tex].

1) Create two equations that add and subtract them.

[tex]x + y = -2\\x-y=8[/tex]

2) Check whether you get the same answer (3,-5) or not. To do so, you need to solve them simultaneously using the elimination or substitution method. I will demonstrate using the substitution method.

[tex]x = -2 - y\\x-y=8\\(-2 - y) -y =8\\-2-2y=8\\-2y = 8 + 2\\-2y = 10\\y = \frac{10}{-2} \\y = -5[/tex]

To find [tex]x[/tex], substitute the result into one of the two equations. I choose [tex]x+y=-2[/tex].

[tex]x-5=-2\\x = -2 +5\\x = 3[/tex]