The TSA decides to hold back for inspection 4% of all pieces of carry-on luggage. Assuming selections are independent, for the next 150 pieces of luggage, a) find the exact probability that 7, 8, or 9 will be selected. Interestingly enough, this is a case where two of our approximation methods may be appropriate. b) Using Poisson approximation, recalculate the probability from a), and compare. c) Using normal approximation, recalculate the probability from a), and compare

Answer:

their graphed

Step-by-step explanation:

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations describe parallel lines. There are no values of x and y that will satisfy both equations.

In standard form, the two equations are ...

  3x +7y = 21

  3x +7y = -42 . . . . . with positive leading coefficient

If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.

Answer:

180/360 (2 ×22/7×5cm)

18/36=1/2× 2×22/ 7 ×5cm

1×22/7×5cm

22/7×5cm

110/7

=15.715cm

Answer: 625 steps per hour

Step-by-step explanation:

10,000/16=625

Answer:

2000

Step-by-step explanation:

40/100 * 5000 = 2000

Answer:

HI from Nepal

Answer:

let principal be x

interest =Rs300

time=3 years

rate=5%

To find principal use formula,

Interest=P*T*R/100

Rs300=x*3*5/100

Rs300*100=15x

Rs30000=15x

Rs30000/15=x

Rs2000=x

Step-by-step explanation:

therefore principal=Rs 2000

Answer:

you cant send pictures unless created on a graphing website but ill try to help. you first have to simplify y, and if you could comment a clearer equation that would be nice because your equation is confusing(cant tell if its all together

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Or

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

Answer:

V =345 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = Bh where B is the base and h is the height

V= 23 * 15

V =345 cm^3

Answer:

345cm³

Step-by-step explanation:

AB h = 23 x15

= 345cm³

Your welcome!

Answer:

x = 135

Step-by-step explanation:

m = length of perpendicular line to hypotenuse

81/m = m/144

m² = 81 x 144 = 11664

m =√11664 = 108

Using the Pythagorean theorem:

x² = 81² + 108² = 6561 + 11664 = 18225

x = √18225 = 135

9514 1404 393

Answer:

  x = 135

Step-by-step explanation:

Side x is the geometric mean of the hypotenuse segments it touches.

  x = √(81×(81+144)) = √81×√225 = 9×15

  x = 135

Answer:

1. 0.7421 = 74.21% probability the elevator is overloaded.

2. D.​No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb​.

This means that [tex]\mu = 166, \sigma = 29[/tex]

Sample of 10.

This means that [tex]n = 10, s = \frac{29}{\sqrt{10}}[/tex]

1.The probability the elevator is overloaded is?

Probability that the sample mean is above 160 pounds, which is 1 subtracted by the p-value of Z when X = 160. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{160 - 166}{\frac{29}{\sqrt{10}}}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a p-value of 0.2579.

1 - 0.2579 = 0.7421

0.7421 = 74.21% probability the elevator is overloaded.

2. Does this elevator appear to be​ safe?

High probability of the elevator being overloaded, so not safe. Correct answer is given by option D.

Answer:

Quadrant 3

Step-by-step explanation:

Answer:

17.205 miles

Step-by-step explanation:

Since these directions form a 90-degree angle, we can use the Pythagorean Theorem.

14^2 + 10^2 = c^2

196 + 100 = c^2

296 = c^2

It doesn't have a perfect square root, you can either say that it is [tex]\sqrt{296}[/tex] or approximately 17.205 miles.

Answer:

1.) The quotient of a number and 2 = x ÷ 2

2.) A number decreased by 2 = x - 2

3.) 2 times a number = 2x

4.) 2 increased by a number = 2 + x

Step-by-step explanation:

Let's look for key words hidden in these sentences:

1.) The quotient of a number and 2 = The word quotient refers to division

2.) A number decreased by 2 = The word decreased refers to subtraction

3.) 2 times a number = the word times refers to multiplication

4.) 2 increased by a number = the word increased refers to addition

Hope this helps!

Answer:

84 cubes :)

Step-by-step explanation:

Answer:

B. 99.098%

Step-by-step explanation:

The probability that the person will not die in the next year is 99.098% .

Correct option is B.

Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (Event) = Favorable Outcome/Total Outcome = x/n  

Given,

Probability of a person will die next year = 902/100000

sum of the probabilities of all events in the sample space is 1.

Then probability of the person will not die in the next year

= 1 - 902/100000

= 1 - 0.00902

= 0.99098

= 0.99098 × 100/100

= 99.098%

Hence, 99.098% is the probability that the person will not die in the next year.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ7

Answer:

1,814,400

Step-by-step explanation:

the formula would be: nPr / x_1 ! x_2!....

since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:

10P10 / 2!

10P10 would simplify down to 10! so you would have :

10! / 2!

if you simplify this above: you would get 1,814,400

Answer:

-x+1 < 5

Step-by-step explanation:

Not sure what the question is?

Answer:

-x + 1 < 5

Step-by-step explanation:

negative x plus 1 is less than 5

-x + 1 < 5

-TheUnknownScientist

Answer:

The approximate percentage of lightbulb replacement requests numbering between 10 and 43 is of 49.85%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 43

Standard deviation = 11

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above the mean.

What is the approximate percentage of lightbulb replacement requests numbering between 10 and 43?

43 is the mean

10 = 43 - 3*11

So 10 is 3 standard deviations below the mean.

Of the 50% of measures below the mean, 99.7% are between 3 standard deviations below the mean(10) and the mean(43). So

0.5*0.997 = 0.4985.

0.4985*100% = 49.85%.

The approximate percentage of lightbulb replacement requests numbering between 10 and 43 is of 49.85%.

Answer:

[tex] \frac{3.5}{100} \times 420000 = 14700commission \\ total \: earnings = 50000 + 14700 \\ = 64700[/tex]

Answer:

sdufbjdfjkwjhevjhvdwhdvbj tsm thank you for the points

e

Step-by-step explanation:

Answer:

ty for the points.

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

2x-7 = 73

2x = 73-7

2x = 66

x = 66÷2

x = 33

Therefore, the value of x is 33

Answer:23.96

Step-by-step explanation:

100-90=10%

10/100=0.10

0.10(8550)=855

100-50=50%

50/100=0.50

0.50(782)=391

855+391=1246

1246/52=23.96

Answer:

20 feet

Step-by-step explanation:

[tex]1)\ A = \frac{b * h}{2}[/tex]

[tex]2)\ 120 = \frac{12b}{2}[/tex]

[tex]3)\ 12b = 240[/tex]

[tex]4)\ b = 20[/tex]

Answer:

1/15 mile

Step-by-step explanation:

(1/25) / (3/5)

When dividing by a fraction flip it over and multiply

(1/25) * (5/3) = 5/75

Reduce

1/15 mile

Answer:

B. 30

Step-by-step explanation:

since Ann paid $400, you set the equation equal to 400

400=40+12d

Then you solve for d to find how many dozen of flowers Ann ordered.

400-40=12d

360=12d

360/12=d

d=30

Answer:

No

Step-by-step explanation:

Because it is not going up by the same amount everytime

Answer:

134

Step-by-step explanation: