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Anna71 [15]
3 years ago
9

south high school has 85 students more than North High School. The total number for both schools is 1495. How many students are

at South High School?
Mathematics
1 answer:
Soloha48 [4]3 years ago
6 0
790 students I subtracted 1495-85 then divided that by two then added the 85 to 705 to get 790
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How many liters of a 10% antifreeze solution and a 40% antifreeze solution must be mixed to make 15 liters of a 25% solution? Ro
butalik [34]

Answer:

7.5 liters of a 10% antifreeze solution AND

7.5 liters of a 40% antifreeze solution

Step-by-step explanation:

According to the question,we were asked to find out how many liters of 10% anti freeze solution and 40% anti freeze each to make a 15 liters 25% mixture

Let’s call

the amount of liters needed of our 10% solution “x”. So, how

many liters do we need of the 40% solution? Well, there are 15

liters in total, x liters have been spoken for, so what remains

of our allotted 10 liters then, is 15-x.

Now let's solve for "x"

10% of x + 40% of (15 - x) = 25% of 15 liters

0.1x + 0.4(15 - x) = 0.25(15)

0.1x + 6 - 0.4x = 3.75

Collect the like terms and we have

0.3x = 2.25

x = 2.25 × 3

X = 7.5(Liters for the 10% anti freeze solution)

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Since "X" was used to fill for the unknown amount of 10% anti freeze solution,we have 7.5 liters of the 10% solution and another 7.5 liters for the 40% solution to end up with 15 liters of the desired 25% solution.

8 0
3 years ago
A manufacturer of televisions subjects the equipment to a comprehensive testing process for all essential functions before the t
Scorpion4ik [409]

Answer:

The probability is   P(X \le 9) =0.9138

Step-by-step explanation:

From the question we are told that

   The probability of the television passing the test is  p = 0.95

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Generally the comprehensive testing process for all essential functions  follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators      

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=>  P(X \le 9) = [^{10}C_9 *  (0.95)^9 *  (1- 0.95)^{10-9}]+ [^{10}C_{10} *  {0.95}^{10} *  (1- 0.95)^{10-10}]

=> P(X \le 9) = [10 *  0.6302  * 0.05 ]+ [1 *0.5987 * 1 ]

=> P(X \le 9) =0.9138

8 0
2 years ago
A club is planning on printing custom t-shirts for the 2013 academic year.
lions [1.4K]
 50+ 7.99 x =y
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50+319.60= y
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7 0
2 years ago
Read 2 more answers
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Kobotan [32]

Answer:

What statements?

Step-by-step explanation:

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Murrr4er [49]

Answer:

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Step-by-step explanation:

A suitable table or calculator is needed.

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  0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16

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The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...

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<em>Comment on the first number</em>

The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.

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