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3 years ago

Pleaseeee help me solve this problem

Mathematics

2 answers:

-Dominant- [34]3 years ago

7 0

Answer:

2/5

Step-by-step explanation:

The slope would be the change in y over the change in x which is 2 units up and 5 units to the right, so the answer is 2/5. hope this helps:)

Nesterboy [21]3 years ago

7 0

2/5 i think i’m sure is the answer

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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

Two pipes can fill a tank in 87 minutes if both are turned on. If only one is used, it would take 23 minutes longer for the smal

seraphim [82]

I need some more help

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3 years ago

Can someone help with this please??

adoni [48]

Answer:

doesn't x equal 6 too?

Step-by-step explanation:

since x is the same size as the other side of the triangle

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3 years ago

In a basket, 5/9 of the fruits are apples and the rest are oranges. 3/10 of the apples are green in colour. There are 15 green a

ra1l [238]

In a basket, 5/9 of the fruits are apples and the rest are oranges. 3/10 of the apples are green in colour. There are 15 green apples. How many fruits are there in the basket?

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2 years ago

The number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss th

siniylev [52]

Step-by-step explanation:

Given the table:

Month f(x) = Number of imports g(x) = Number of exports

January (1) 3 1

February (2) 4 3

March (3) 5 5

April (4) 6 7

From the table, it is clear that:

Number of imports = number of month + 2

$f(x) = x + 2$

also

Number of exports = 2(number of month) + 1

$g(x) = 2x - 1$

Therefore, number of imports equals the number of month plus one. i.e. $f(x) = x + 2$ , which is a linear function.

If we compare it with slope-intercept form of the line

$y=mx+b$

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e. $g(x) = 2x - 1$

Here,

slope = m = 2

y-intercept = -1

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3 years ago