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notsponge [240]
3 years ago
14

Find y if (6, 2y) & (4, -1) has a slope of 13/3

Mathematics
1 answer:
lina2011 [118]3 years ago
7 0

Answer:

value of y is 23/6

Step-by-step explanation:

m =  \frac{y2  -  y1}{x2 - x1}

(6,2y)

(4,-1)

m = (2y+1)/(6-4)

13/3 = (2y+1)/2

3(2y+1) = 2(13)

6y + 3 = 26

6y = 23

y = 23/6

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Which table has a constant of proportionality between y and x of 10?
Ivanshal [37]

Answer:

table C

Step-by-step explanation:

The constant of proportionality  k= y/x

table C shows constant proportionality :

90/9=140/14=240/24=10

5 0
2 years ago
Read 2 more answers
500+2000+45+338+2145​
Semenov [28]

Answer:

5,028

Step-by-step explanation:

7 0
3 years ago
18 is ( blank ) % of 30
meriva
Make an equation.

'is' is an equal sign

The blank can be 'x'

'of' = multiplication

18 = x * 30

Multiply:

18 = 30x

Divide 30 to both sides:

x = 0.6

Multiply by 100:

0.6 * 100 = 60%
4 0
3 years ago
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Find 3rd and 5th form by using nth term formula tn=a+(n-1)d when tn=a+(n-1)d when a=2 and d=3.​
lawyer [7]

Answer:

t3 = 8, t5 = 14

Step-by-step explanation:

t3 = 2 + (3-1) × 3

t3 = 2 + (2) × 3

t3 = 2 + 6

t3 = 8

t5 = 2 + (5-1) × 3

t5 = 2 + (4) × 3

t5 = 2 + 12

t5 = 14

8 0
3 years ago
To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 an
kolbaska11 [484]

Answer:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (200,20)

For u = 200 and o = 20

For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

For this part we want to find a value a, such that we satisfy this condition:

P (X > a) = 0.1 (a)

P (X < a) = 0.9 (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

But we know which value of z satisfy the previous equation so then we can do this:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

3 0
2 years ago
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