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kati45
7 days ago
14

Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. Select the correct interpretation

of the probability of an airplane arriving late. Interpret an event as significant if its probability is less than or equal to 0.05.
A. Significant at 0.0036
B. Not significant at 0.964
C. Significant at 0.036
D. Not significant at 0.036
Mathematics
1 answer:
babunello [3.6K]7 days ago
4 0

Answer: C. Significant at 0.036

Step-by-step explanation:

Given:

Total samples selected Ns= 500

Airplanes that arrived on time Na = 482.

Airplanes that arrived late Nl = 500 - 482 = 18

Calculating the probability of an airplane arriving late:

P(L) = Nl/Ns

P(L) = 18/500

P(L) = 0.036

An event is deemed significant if its probability is equal to or less than 0.05.

As P(L) < 0.05

P(L) = Significant at 0.036

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A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b
PIT_PIT [3919]

Answer:

The amount of ovens that must be produced in a week to earn a $1610 profit is 70.

Step-by-step explanation:

Given:

A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:

P=\frac{1}{10}x(300-x)

with 0 ≤ x ≤ 200.

The target profit is $1610

So, set P = 1610, then solve for x:

1610=\frac{1}{10}x(300-x)

Multiply both sides by 10:

1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10

16100=x\left(300-x\right)

16100=300x-x^2

-x^2+300x-16100=0

Next, factor the quadratic:

(x-70)(x-230)=0

Solving for x gives:

x=70,x=230

Since x=230 is outside the domain 0 ≤ x ≤ 200, we discard it.

Hence, the valid solution is x=70.

Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.


7 0
14 days ago
The value of y at x=-1in the equation 5y=2 is
Zina [3914]

Answer: y = 2/5 --> y = 0.4

Step-by-step explanation:

The equation 5y = 2 represents a horizontal line at y = 2/5.

This means that the y-coordinate holds the value of 2/5 = 0.4 for any x-coordinate.

7 0
17 days ago
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y
babunello [3635]

Answer:

n = 3

XY = 39

XZ = 39

Step-by-step explanation:

Given

XY = 9n + 12

XZ = 15n - 6

Solving for (a): n

To find n;

We will utilize

XY = XZ

Substituting values for XY and XZ

9n + 12 = 15n - 6

9n - 15n = -12 - 6

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Dividing by -6

n = 3

Solving for (b) XY

XY = 9n + 12

Substituting 3 for n

XY = 9 * 3 + 12

XY = 27 + 12

XY = 39

Solving for (c): XZ

XZ = XY

XZ = 39

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Ann is grouping 38 rocks. She can put them into groups of 10 rocks or as single rocks. What are the different ways Ann can group
Svet_ta [4321]

Answer: There are two distinct methods to achieve this.

Step-by-step explanation:

We know that we have

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7 0
8 days ago
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