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Marizza181 [45]
3 years ago
10

Math number 8. Find the value of x

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

8

Step-by-step explanation:

By intersecting chords theorem:

14(2x + 2) = 12(2x + 5) \\  \\  28x + 28 = 24x + 60 \\  \\ 28x - 24x = 60 - 28 \\  \\ 4x = 32 \\  \\ x =  \frac{32}{4}  \\  \\ x = 8

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The time it takes a student to walk from the dorm to the chemistry lab follows roughly a Normaldistribution with a mean of 20 mi
creativ13 [48]

Answer:

95.15%

Step-by-step explanation:

We have that the mean (m) is equal to 20, the standard deviation (sd) 3

They ask us for P (x <25)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (25 - 20) / (3)

z = 1.66

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <1.66) = 0.9515

Which means that the probability that it arrives before 25 minutes is 95.15%

6 0
4 years ago
A textbook store sold a combined total of 426 math and sociology textbooks in a week. The number of math textbooks sold was 88 m
SOVA2 [1]
Let m and s be the number of math and sociology books sold respectively.

m=s+88 we are also told that:

m+s=426, using m found above in this equation gives you:

s+88+s=426 combine like terms on left side

2s+88=426  subtract 88 from both sides

2s=338  divide both sides by 2

s=169, since m=s+88

m=169+88=257

So 257 math and 169 sociology textbooks were sold.
8 0
3 years ago
Answers plz i cant do math
Licemer1 [7]

The slope of all parallel lines are equal.

The slope of a line in the form y=mx+c is m.

1. The given equation is: y=4x+2.  The slope of this line is m=4. The slope of the line parallel to this line is also 4.

2. The given equation is y=\frac{2}{7}x+1. The slope of this line is m=\frac{2}{7}.

The slope of the line parallel to it is also \frac{2}{7}.

3. The next equation is y+9x=13. The slope intercept form is y=-9x+13.

The slope of this is m=-13. The line parallel to it also has slope which is -13.

4. The given equation is y=-\frac{1}{2}x+4. The slope of this line and the line parallel to it is m=-\frac{1}{2}

5. The equation is 6x+2y=4. We simplify to get: 3x+y=2.

The slope-intercept form is y=-3x+2. The line parallel to this line has slope m=-3

6. Assuming the line is y=-3x+9, then the slope is m=-3

7. Assuming the line is -5x+5y=4, then the slope-intercept form is y=x+\frac{4}{5} and the slope of the line parallel to this line is m=1

8. The equation is 9x-5y=4. The slope intercept form is y=\frac{5}{9}x-\frac{4}{9}. The slope of the line parallel to this line is m=\frac{5}{9}

9. The given equation is -x+3y=6. The slope intercept form is y=\frac{1}{3}x+2. The line  parallel to this line also has slopem=\frac{1}{3}.

10.  Assuming the given line is 6x-7y=10, then y=\frac{6}{7}x-\frac{10}{7} and the line parallel to it has slope m=\frac{6}{7}

11. Assuming the line is y-x=-3, then y=x-3 and the slope of the line parallel to it is m=1

12. The given line is 3x-5y=6. This implies that y=\frac{3}{5}x-\frac{6}{5}

7 0
3 years ago
How do you solve 6 x + 5 x − 25 = − 5 x − 28
Travka [436]

Answer:

x = -3/16

Step-by-step explanation:

6x + 5x - 25 = -5x - 28

11x - 25 = -5x - 28

Add 5x to both sides.

16x - 25 = -5x + 5x - 28

16x - 25 = -28

Add 25 to both sides.

16x - 25 + 25 = -28 + 25

16x = -3

Divide both sides by 16

16/16 = 1

-3/16

x = -3/16

3 0
3 years ago
Use the product of powers property to simplify the numeric expression.<br> 4^1/3*4^1/5
tester [92]
4^1|15 I know this cuz I had the same questions and got them right
8 0
3 years ago
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