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lara [203]
3 years ago
6

Solve. 1,032 divided by 24 Enter the answer in the box. Response area with 1 text input box

Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0

Answer:

<h2>258</h2>

258\quad \mathrm{Remainder}\quad \:0

Step-by-step explanation:

\frac{1032}{4} \\\\\begin{matrix}4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\\mathrm{Divide}\:10\:\mathrm{by}\:4\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\

\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:4\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\underline{\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end

Long story short ,

\mathrm{The\:solution\:for\:Long\:Division\:of}\:\\\frac{1032}{4}\:\mathrm{is}\\\:258\:\mathrm{with\:remainder\:of}\:0

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If a watch has a 0.12 defect rate. what is the probability that the watch has fewer than 3 defects in a run of 75 chimes?
Maslowich

Answer:

(\frac{88}{100})^{75} + \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}) + \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}

Step-by-step explanation:

If a watch has fewer than three defects, then either 1.) It has no defects, 2.) it has exactly 1 defect, or 3.) it has exactly 2 defects.

1.) The probability that the watch has no defects is (\frac{88}{100})^{75}, because for every chime there is a probability of \frac{88}{100} that there is no defect

2.) The probability that the watch has exactly 1 defect is (\frac{88}{100})^{74}(\frac{12}{100}) times the number of ways you can choose 1 of 75 of the chimes to be defective, which is \binom{75}{1}, so the probability that the watch has exactly 1 defect is \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}).

3.) For the same reason as 2.), the probability that the watch has exactly two defects is \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}

Since 1.), 2.), and 3.) are mutually exclusive events, the probability of their union is simply the probability of each of them added together, which is (\frac{88}{100})^{75} + \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}) + \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}

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Chloe swam 40 laps in the pool, but this was only 50% of her total swimming workout. How many more laps does she still need to s
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Answer:

40

Step-by-step explanation:

50% is equal to 1/2 so if we multiply 40 by 2 you get 80 then subtract what she already did and you get 40.

hope this helped

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Step-by-step explanation:

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3 years ago
The ordered pair(5,-3) is a solution to which of the following inequalities? a. y≥−2x+8 b. −2y&lt;3x−9 c. y−2x&gt;5 d. 4y+2x≤−1
stiks02 [169]

Answer:

Option d. 4y+2x\leq -1

Step-by-step explanation:

we know that

If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality

Verify each case

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we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

-3\geq2(5)+8

-3\geq18 -----> is not true

therefore

the ordered pair is not a solution

case b) -2y

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

-2(-3)

6 -----> is not true

therefore

the ordered pair is not a solution

case c) y-2x>5

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

-3-2(5)>5

-13>5 -----> is not true

therefore

the ordered pair is not a solution

case d) 4y+2x\leq -1

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

4(-3)+2(5)\leq -1

-2\leq -1 -----> is  true

therefore

the ordered pair is a solution

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4 years ago
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