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WITCHER [35]
2 years ago
6

Write an equation for the line that passes through the given points (2,3), (3,7)

Mathematics
1 answer:
svetoff [14.1K]2 years ago
5 0

Answer:

y = 4x - 5

Step-by-step explanation:

first use the slope equation (y2-y1/x2-x1)

so 7 - 3 = 4 and 3 - 2 = 1 so the slope is 4

so we know the m is 4 so we can just plug one of the points into the slope intercept form (y = mx+b) so let's use the point (2,3). just plug in the values

3 = 4(2)+ b. 4 * 2 = 8 subtract 8 to the other side b = -5

so the answer is y = 4x - 5

hope this helps!

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7 is what percent of 8
11Alexandr11 [23.1K]

Answer:

87.5%

Step-by-step explanation:

.

..

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7 0
3 years ago
A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting
s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

12 resistors, which means that N = 12

3 defective, which means that k = 3

4 are selected, which means that n = 4

To find an specific probability, that is, of x defectives:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}

7 0
3 years ago
One option in a roulette game is to bet $ 6
Eduardwww [97]

Answer:

<h2>We have 47% of chances to win those six bucks.</h2>

Step-by-step explanation:

In this problem we need to find the probabilty of winning thos $6.

According to the problem, we win $6 if we hit one red. We know that there are 18 red compartments, 18 black compartments and 2 neither red nor blakc, for a total of 38 compartments.

We need to use the standard probabilty definition which is the ratio between the number of events and the total number of outcomes. So,

P=\frac{18}{38} \approx 0.47

Which is equivalent to 47% of chances.

Therefore, we have 47% of chances to win those six bucks. (The Casino has the odds in their favor)

5 0
2 years ago
NEED ANSWER ASAP
kkurt [141]

Answer:

f(2) = 81

g(2) = 83

Science class had a higher average

Step-by-step explanation:

Given

f(x) = 0.5x + 80

g(x) table

Solving (a): f(2)

We have:

f(x) = 0.5x + 80

So:

f(2) = 0.5*2 + 80

f(2) = 1 + 80

f(2) = 81

Solving (b): g(2)

From the given table.

g(2) = 83

Solving (c): f(4) or g(4); which is greater

f(x) = 0.5x + 80

So:

f(4) = 0.5*4+80

f(4) = 2+80

f(4) = 82

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

g(x) = g(x-1)+2

So

g(4) = g(4-1)+2:

g(4) = g(3)+2

g(4) = 85+2

g(4) = 87

<em>Hence, g(4) i.e. Science class is greater</em>

6 0
3 years ago
point "b" has coordinates of -2,-5 after a translation 4 units down a reflection across the y axisand a translation 6 units up w
monitta
Point b would be at 2,-3
5 0
3 years ago
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