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Lesechka [4]
3 years ago
5

Find the gradient of the line segment between the points (-3,3) and (4,4).

Mathematics
1 answer:
ElenaW [278]3 years ago
4 0

Answer:

2.

Step-by-step explanation:

The gradient or slope of a straight line which is found between two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Where y2 = 7

y1 = 3

x2 = 4

x1 = 2

=> m = (7 - 3) / (4 - 2)

m = 4 / 2 = 2

The gradient is 2.

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guapka [62]
C=40 bahshshahajehsh
4 0
3 years ago
It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins
katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0
3 years ago
Need help with this question regarding functions. :)
Tanzania [10]

The Y-intercept is found when X is equal to 0.

In the table, when X is 0, f(x) is 1.


On the graph, when X is 0 the line crosses at Y = 1.


This means that they are equal.


The answer would be equal to.

4 0
4 years ago
Franklin measured and labeled the angles of a triangle as shown. Jennifer says that at least one of his measures is incorrect. E
ioda

Answer:

see the explanation

Step-by-step explanation:

First way

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

In this problem

37+97+134 > 180

therefore

At least one of Franklin's measures is incorrect

Second way

we know that

A triangle can only have at most one obtuse internal angle.

In this problem the triangle has two obtuse internal angles

Remember that an obtuse angle is an angle greater than 90 degrees

therefore

At least one of Franklin's measures is incorrect

6 0
3 years ago
I need the answer and why
Lorico [155]

Answer:

Brien is incorrect because he skipped step 2

Step-by-step explanation:

4 0
2 years ago
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