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Elenna [48]
3 years ago
8

An elevator has a placard stating that the maximum capacity is 23252325 lblong dash—1515 passengers.​ So, 1515 adult male passen

gers can have a mean weight of up to 2325 divided by 15 equals 155 pounds.2325/15=155 pounds. If the elevator is loaded with 1515 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 155155 lb.​ (Assume that weights of males are normally distributed with a mean of 161 lb161 lb and a standard deviation of 31 lb31 lb​.) Does this elevator appear to be​ safe?
Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

0.7734; no, it does not.

Step-by-step explanation:

To find this probability we will use a z-score.  We are dealing with the probability of a sample mean being larger than a given value; this means we use the formula

z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}

Our x-bar in this problem is 155, as that is the sample mean we are trying to find the probability of.  Our mean, μ, is 161 and our standard deviation, σ, is 31.  Our sample size, n, is 15.  This gives us

z=\frac{155-161}{31\div \sqrt{15}}=\frac{-6}{8.0042}=-0.75

Using a z table, we see that the area under the curve less than this, corresponding with probability less than this value, is 0.2266.  This means that the probability of the sample mean being larger than this is

1-0.2266 = 0.7734, or 77.34%.

Since there is a 77.34% chance of the passengers having a mean weight that is too heavy, this elevator is not safe.

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laiz [17]

Answer:approaches 1

Step-by-step explanation:

8 0
3 years ago
The manager of a furniture factory finds that it costs $2400 to manufacture 60 chairs in one day and $4800 to produce 260 chairs
tamaranim1 [39]

Answer:

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

Step-by-step explanation:

Given that:

X1 = 60 chairs ; y1 = 2400

X2 = 260 chairs ; y2 = 4800

Obtain the slope ; m

m = y2 - y1 / x2 - x1

m = 4800 - 2400 / 260 - 60

m = 2400 / 200

m = 12

Using the point slope relation:

y - y1 = m(x - x1)

y - 2400 = 12(x - 60)

y - 2400 = 12x - 720

y = 12x - 720 + 2400

y = 12x + 1680

C(x) = 12x + 1680

From the general slope intercept equation :

y = mx + c

m = slope ; c = intercept

Hence,

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

5 0
3 years ago
Please help me on this!
denis23 [38]

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

P is the center of Circle

∠ONE ≅ ∠TEN

To Prove:

∠5 ≅ ∠6

Proof:

Exterior Angle Theorem:

Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.

STATEMENT                                                   REASON

1. So In ΔONE,

\angle 5=\angle ONE+\angle 2     1. Exterior Angle Property of a Triangle.

2. Similarly In ΔTEN,

\angle 6=\angle TEN+\angle 1      2. Exterior Angle Property of a Triangle.

3. But , ∠ONE ≅ ∠TEN                                 3. Given

4. And P is the center of circle So

PN=PE                                             4.radius of same circle

5. ΔPEN is an Isosceles triangle,

∴ ∠ 1 ≅ ∠ 2                                                     5. Isosceles triangle property

6. ∴ ∠5 ≅ ∠6                                                  6. From 3 and 5 Transitive Property.........Proved

5 0
3 years ago
Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00.
andrew-mc [135]
The answer here would be C. <span>ON/C 6 8 – 5 – 6 2 . 5 0 + 7 5 =

Following her keypresses, she has to turn the calculator on by pressing "ON/C". Entering her current balance, she presses 6 then 8, subtracting her 2 checks by entering "-" then 5, and again for 62.50. Lastly, she adds the amount deposited which is 75. Pressing the "=" sign then tells her how much her new balance is.</span>
8 0
3 years ago
What is y-2=-2.5(x-1) in STANDARD FORM? (It has to be in Ax+By=C form)
vitfil [10]
Y-2=-2.5(x-1)
Y-2=-2.5x+2.5
2.5x+y=4.5
6 0
3 years ago
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