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Dafna11 [192]
3 years ago
7

The sum of four times a number and 18 is the same as the difference of fourteen and twice a number

Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0
4x+18=14-2x \\ 4x=-4-2x \\ 6x=-4 \\ x= \frac{2}{3}
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A set of computer science exam scores are normally distributed with a mean of 71.33 point, and a standard deviation of 3 points.
Bess [88]

Answer: 0.86 of the exam scores are between 68 and 77.99 points

Step-by-step explanation:

Since the set of computer science exam scores are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = computer science exam scores .

µ = mean score

σ = standard deviation

From the information given,

µ = 71.33 points

σ = 3 points

We want to find the proportion of the exam scores are between 68 and 77.99 points. It is expressed as

P(68 ≤ x ≤ 77.99)

For x = 68,

z = (68 - 71.33)/3 = - 1.11

Looking at the normal distribution table, the probability corresponding to the z score is 0.13

For x = 68,

z = (77.99 - 71.33)/3 = 2.22

Looking at the normal distribution table, the probability corresponding to the z score is 0.99

P(68 ≤ x ≤ 77.99) = 0.99 - 0.13 = 0.86

5 0
3 years ago
A trinomial is also a polynomial.<br><br> A. True<br> B. False
Vanyuwa [196]
The answer would be true because a polynomial consists of many terms and a trinomial has three terms.
8 0
3 years ago
Which expression is equivalent to −19y+13 ?
Vikki [24]
The first thing you should do in this case is to write the expression correctly:
 - (1/9) y + (1/3)
 Now, we take out common factor (1/9) obtaining:
 1/9 (-y + 3)
 Let's check:
 1/9 (-y + 3)
 -1/9y + 3/9
 -1/9y + 1/3
 OK
  Answer: 
 An expression equivalent is: 
 1/9 (-y + 3)

4 0
3 years ago
Read 2 more answers
Draw the graph of the equation: 1.5x+2y=3
Sati [7]

Answer:

Step-by-step explanation: Your supposed to move 1.5x to the other side of 2y. Then you have -1.5x on the right side. Divide all terms by 2 and you’ll get your equation in y=mx+b format. Hope this helps

7 0
3 years ago
Which linear function represents the line given by the point -slope equation y-2=4(x-3)
vampirchik [111]

Answer:

The linear function would be f(x) = 4x - 10

Step-by-step explanation:

In order to find this, we need to take the equation and solve it for y.

y - 2 = 4(x - 3)

y - 2 = 4x - 12

y = 4x - 10

Now we replace the y with f(x) and this is the function.

f(x) = 4x - 10

5 0
3 years ago
Read 2 more answers
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