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jeyben [28]
3 years ago
6

The mean commuting time for resident of a certain metropolitan are is 38 minutes, with a standard deviation of 10 minutes. Assum

e that commuting times for this are are normally distributed. Using the z-score for a 23-minute commute above , what is the probabilty that a commute for a randomly chosen residet will be between 28 minutes and 58 minutes?
A. 92.3%
B. 81.9%
C. 76.4%
D.84.0%
Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

the answer is 81.9% hope this question will be helpful

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What two numbers multiply to 54 and add up to 7
k0ka [10]
Xy = 54
x + y = 7

xy = 54
\frac{xy}{x} = \frac{54}{x}
y = \frac{54}{x}

x + y = 7
x + \frac{54}{x} = 7
\frac{x^{2}}{x} + \frac{54}{x} = 7
\frac{x^{2} + 54}{x} = 7
x^{2} + 54 = 7x
x^{2} - 7x + 54 = 0
x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}
x = \frac{7 \± \sqrt{49 - 216}}{2}
x = \frac{7 \± \sqrt{-167}}{2}
x = \frac{7 \± i\sqrt{167}}{2}
x = \frac{7 \± 12.9i}{2}
x = 3.5 \± 6.45i
x = 3.5 + 6.45i    or    3.5 - 6.45i

                  x + y = 7
   3.5 + 6.45i + y = 7
- (3.5 + 6.45i)       - (3.5 + 6.45i)
                        y = 3.5 - 6.45i
                  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

                          or

                  x + y = 7
   3.5 - 6.45i + y = 7
- (3.5 - 6.45i)     - (3.5 - 6.45i)
                       y = 3.5 + 6.45i
                 (x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.
5 0
3 years ago
Solve 7x+6<3(x - 2).
lawyer [7]

Answer:

x<−3

Step-by-step explanation:

hope this works

4 0
3 years ago
Helpppp plzzzz what is the measure of /_x
zaharov [31]

Answer:

100

Step-by-step explanation:

4 0
3 years ago
In a scale model of a table, 1 centimeter represents 8 inches.
Trava [24]

Answer:

(a): 6 centimeters

(b): 72 inches

Step-by-step explanation:

Rule: From centimeters to inches, multiply centimeters × 8

so from inches to centimeters, divide inches by 8

Scale:

1 cm : 8 in

? cm : 48 in

6 cm : 48 in

Scale:

? in : 9 cm

72 in : 9 cm

8 0
2 years ago
I need help. Anyone knows?
AnnyKZ [126]
So first, find out the total amount of money you make in 3 months.

If you make 1200 dollars a month, then in 3 months, you can make 3600 dollars. This is because 1 month salary + 1 month salary + 1 month salary = 3 month salary, and 1 month salary = 1200. So 1200 + 1200 + 1200 = 3600.

Since you're saving 2/5 of that, the simplest method to do this is to divide by 5, to find 1/5 of 3600, then multiply by 2 to find 2/5.

3600/5 = 720

720 * 2 = 1440

So you can save $1440 in three months.
7 0
3 years ago
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