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Alex777 [14]
3 years ago
9

Solve the equation for x.

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0
Ummm that’s a googlable question
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Write $\frac{99}{100}\cdot(0.\overline{4})$ as a fully simplified fraction.
Oksi-84 [34.3K]

Answer:

  • \frac{11}{25}

Explanation:

The expression that must be rewritten as a fully simplified fraction is:

  • \frac{99}{100}\cdot(0.\overline{4})

You must, first, convert     0.\overline{4}    as a fraction.

The line over the decimal 4 means that the digit 4 repeats indefinetly.

To find the fraction that represents this number you follow this procedure:

F=0.\overline 4\\ \\ 10F=4.\overline 4\\ \\ 10F-F=4\\ \\ 9F=4\\ \\ F=4/9

Now, you can mutiply both fractions:

\frac{99}{100}.\frac{4}{9}=\frac{99\times 4}{100\times9}=\frac{11}{25}

6 0
4 years ago
How do I solve this using the system of equations?
Westkost [7]

Answer:

length: 16 m; width: 13 m

Step-by-step explanation:

Write each of the statements as an equation. You know that the formula for the perimeter is ...

P = 2(L +W)

so one of your equations is this one with the value of P filled in:

• 2L + 2W = 58

The other equation expresses the relation between L and W:

• L = W +3 . . . . . . . . the length is 3 meters greater than the width

There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...

2(W+3) +2W = 58

4W +6 = 58 . . . . . . . simplify

4W = 52 . . . . . . . . . . subtract 6

W = 13 . . . . . . . . . . . .divide by 4

We can use the expression for L to find its value:

L = 13 +3 = 16

The length is 16 meters; the width is 13 meters.

6 0
3 years ago
A density graph for all of the possible times from 50 seconds to 300 seconds
Vika [28.1K]

Answer: D. took quiz :)

Step-by-step explanation:

7 0
4 years ago
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i
lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0
3 years ago
What is the largest number that can be rounded to 2,500 when rounded to the nearest ten?
n200080 [17]
I think it is 2,504.
when you round 2,505 it comes out to 2,510.
8 0
4 years ago
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