A survey of 2,000 doctors showed that an average of 3 out of 5 doctors use brand X aspirin. How many doctors use brand X aspirin? (Hint: Solve for X)

Answer:

C

Step-by-step explanation:

To do this first find how many square feet are in the area. You can do this by multiplying 450 * 650 = 292500.

Next, divide by 32 to find how many sections of 23 people there are.

292500 / 32 =  9140.625

Lastly, multiply by 23 to find how many people can stand in the area.

9140.625 * 23 = 210,234.375 which rounds to C. 210,234 people

Answer:

a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.

b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00

c) 90% of sample means will occur between $26.1 and $28.9.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]

a. What is the likelihood the sample mean is at least $30.00?

This is 1 subtracted by the pvalue of Z when X = 30. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem, we have that:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{30 - 27.5}{0.85}[/tex]

[tex]Z = 2.94[/tex]

[tex]Z = 2.94[/tex] has a pvalue of 0.9984

1 - 0.9984 = 0.0016

0.0016 = 0.16% probability that the sample mean is at least $30.00.

b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So

From a, when X = 30, Z has a pvalue of 0.9984

When X = 26.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]

[tex]Z = -1.18[/tex]

[tex]Z = -1.18[/tex] has a pvalue of 0.1190

0.9984 - 0.1190 = 0.8794

0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.

c. Within what limits will 90 percent of the sample means occur?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645

Lower bound:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = -1.645*0.85[/tex]

[tex]X = 26.1[/tex]

Upper Bound:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = 1.645*0.85[/tex]

[tex]X = 28.9[/tex]

90% of sample means will occur between $26.1 and $28.9.

Answer:

75,600 m/h (21 m/s, 0.02 km/h)

Step-by-step explanation:

Hey there!

The answer to your question is [tex]21 mps[/tex]

To find the rate of speed, we have to find the meters per second, or mps. The formula for this is  [tex]\frac{distance}{time} = speed[/tex]. So:

[tex]\frac{63}{3} = s[/tex]

[tex]21 = s[/tex]

This means that the speed is 21 meters per second, or 21 mps.

Hope it helps and have an amazing day!

Answer:

1. 10.8 radians

2. 236.3 meters

Step-by-step explanation:

The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.

1. Through how many radians does Karen turn in 101 minutes?

1 revolution = 360°

Hence since Seattle rotates 1.02 revolutions every hour

Step 1

We convert to degrees per minute

= (360 × 1.02 revolutions/hour)/60 minutes

= 6.12 degrees per minute

Step 2

Convert to radians

Number of minutes = 101 minutes

Hence:

(6.12 degrees per minute × 101 ) × π/180

= 10.788229172 radians

Approximately = 10.8radians

2. How far does Karen move in 101 minutes?

We are to calculate the distance in question 2.

We know that: Chelsea sits 21.9 m from the center of the restaurant near a window.

Therefore,

2 × π × 2.19m = 137.60175823

[6.12 degrees per minute × 101 minutes × 137.60175823]/360

= 236.26221888 meters

Approximately = 236.3 meters

Answer:

The inequality x+y<1 should look like the graph attached.

It should be a dashed line, not a solid line.

Answer:

The second one you click to switch it

Step-by-step explanation:

Just did the quiz just going by every question and giving answers

17 is the answer

h0pe this helped :>

Answer:

A

Step-by-step explanation:

Answer: $75

Step-by-step explanation: If interest earned on an account in 2 years is $15, then after 10 years, the interest would be $75.

We can know this because, if we divide $15 by 2, we get the amount of interest the account makes in 1 year.

15/2 = $7.50. The account makes $7.50 interest pear year.

We want to know how much interest the account will make in 10 years, simply multiply 7.50 by 10.

$7.50 x 10 = $75 in 10 years.

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

Answer:

0.1416

Step-by-step explanation:

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.

The probability in a random sample of 32 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]

P-value from Z-Table:

P(x<32) =

The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.

The probability in a random sample of 36 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]

P-value from Z-Table:

P(x<36) = 0.0086945

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be

[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

The answer is (-8/5,32) in point form or x=-8/5,y=32

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

C

Step-by-step explanation:

P-25

Answer:

the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.

Step-by-step explanation:

Answer:-10

Step-by-step explanation:

Answer:

the x intercept is -3

or (-3,0)

Step-by-step explanation:

the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.

Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.

0=1/3x+1

subtract 1 from both sides

-1=1/3x

multiply by 3

-3=x

Therefore the x intercept is -3.

As a point is (-3,0)

hope this helps!

Answer:

y = 4x + 5

Step-by-step explanation:

3y - 12x = 15

Add 12x to both sides.

3y = 12x + 15

Divide by 3 to isolate y.

y = 4x + 5

Answer:

ACTUALLY IT'S, y=4x-5

Step-by-step explanation:

12x-3y=15                          - Get y alone

-12x   =12x                          

-3y=-12x+15

-3y=-12x+15     - Divide.            

__________

-3           -3

y=12/3x-15/3                  -  Distribute division. Negative over a negative is positive. Positive over a negative is a negative.

y=4x-5     - Reduce fractions.

Answer:

$7 a pound

Step-by-step explanation

$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7

Answer:

8*g = 8g

then,

7/8g

What was the answer

Answer:D

Step-by-step explanation:

Answer: x= 3π/2

Hope this helps.... Stay safe and have a great rest of the weekend!!! :D

Answer:

147

Step-by-step explanation:

Answer:

(x+2)² - 11

Step-by-step explanation:

Regroup terms

x² + 4x - 7

(x² + 4x) - 7

Complete the square

 coefficient of x term: 4

 divide coefficient in half: 2

 square it: 2²

 use 2² to complete the square:

(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11

Answer:

Step-by-step explanation:

I NEED HELP PLEASE

Answer:

The total surface area is 973.89 ft

Step-by-step explanation:

The formula for the surface area of a cylinder is A=2πrh+2πr2.

The top cylinder has a radius of 5 ft, and height of 2 ft.

The bottom cylinder has a radius of 10 ft, and a height of 2 ft.

Plug in the numbers for each and you get:

Top Cylinder:

A=2π(5)(2)+2π(5^2)

A=2π(10)+2π(25)

A= 62.83185307 + 157.079327

A= 219.9111801

A≈ 219.91

Bottom Cylinder:

A= 2π(10)(2)+2π(10^2)

A= 2π(20)+2π(100)

A= 125.6637061 +  628.3185307

A= 753.9822368

A≈ 753.98

Combined:

753.98 + 219.91 = 973.89

Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

Answer: Bianca is right.

Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]

Answer:

Subsitute (nothing hard)

5-7(9*9-3*3)

Combine

5-7(72)

Distibute left to right

-7*72= -504

5-504

-499

Answer:

a) the required percentage is 32.64%

b) the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Step-by-step explanation:

Given that;

mean μ = 14.7 %

standard deviation σ =33%

a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?

P( portfolio lose money )

= P( x< 0) P( 0-14.7 / 33 )

P( Z < -0.45 ) =  0.3264 ≈ 32.64%

Therefore, the required percentage is 32.64%

b)

the cutoff for the highest 15% of annual returns with this portfolio will be:

P( X ≥ x) = 15%

1 - P(X ≤ x) = 0.15

P(X ≤ x) = 0.85

P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1

form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2

from the equations;

(x-14.7 / 13 ) = 1.04

33 × 1.04 = x-14.7

34.32 = x-14.7

x = 34.32 + 14.7

x = 49.02%

Therefore, the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%