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Over [174]
3 years ago
14

Sophia had 63¢ until she spent 5 nickels. How much money does Sophia have now?

Mathematics
2 answers:
sladkih [1.3K]3 years ago
4 0

Answer:

38 cents

Step-by-step explanation:

5x5=25

63-25=38

ANTONII [103]3 years ago
3 0

Answer:

38 cents

Step-by-step explanation:

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Is (9, 1) a solution to the equation y = x - 8? <br> yes<br> or no
velikii [3]

Answer:

yes

Step-by-step explanation:

y = 9

x = 1

1 = 9 - 8

7 0
3 years ago
A(6, -3), B(0, 5) equation in point slope form
kotegsom [21]
The equation for point-slope form is <span>y - y1 = m(x - x1)


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8 0
3 years ago
The probability that a call received by a certain switchboard will be a wrong number is 0.02. Use the Poisson distribution to ap
MAXImum [283]

Answer:

0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

The probability that a call received by a certain switchboard will be a wrong number is 0.02.

150 calls. So:

\mu = 150*0.02 = 3

Use the Poisson distribution to approximate the probability that among 150 calls received by the switchboard, there are at least two wrong numbers.

Either there are less than two calls from wrong numbers, or there are at least two calls from wrong numbers. The sum of the probabilities of these events is 1. So

P(X < 2) + P(X \geq 2) = 1

We want to find P(X \geq 2). So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992

Then

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1992 = 0.2008

0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.

6 0
3 years ago
John invested 12 dollars in a bank account , the interest rate 16%
Yakvenalex [24]
Formula is I=PRT, where I is interest, P is original amount, R is rate, and T is time.

You’ve given me only R and P. At least three variables need to be defined in order to solve.
6 0
3 years ago
A mason's assistant's rate of pay is $0.95 per cubic foot of earth moved. he digs a trench 2.5 ft. wide by 2 ft. deep by 150 ft.
Romashka [77]
Well well if he gets paid. $0.95 per ft^3 this equates to:
pay = $0.95 * volume

because the volume is the amount of ft^3

a trench shape would be considered rectangular. The the volume of rectangle is :
volume = length * width * height

so:
v = 2.5 ft * 2 ft * 150 ft
v = 750 ft^3

so:
pay = 0.95 $/ft^3 * 750 ft^3

p = $712.50
3 0
3 years ago
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