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katovenus [111]
3 years ago
10

Write a real world problem for the inequality -3.5 is less than -1.5

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0
Having a credit balance of -3.5 is less than 1.5
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P(A) = 20%. P(B) = 50%. P(BIA) = P(B). What is P(A and B)?
8_murik_8 [283]

Answer:

P(A and B) = 0.1 = 10%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question, we have that:

P(A) = 0.2, P(B|A) = 0.5

What is P(A and B)?

P(B|A) = \frac{P(A \cap B)}{P(A)}

P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1

P(A and B) = 0.1 = 10%

8 0
3 years ago
The first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. What is the fir
Darya [45]

Answer:

A) 16

Step-by-step explanation:

1st sequence: 72-8x

2nd sequence: 58-6x

Set both sequences equal to each other and solve for x:

72-8x=58-6x

14-8x=-6x

14=2x

7=x

x=7

Plug x=7 back into the equation:

72-8(7)=58-6(7)

72-56=58-42

16=16

So the first number that appears in both sequences is 16.

8 0
3 years ago
Find the equation of the tangent line and normal line to the curve at a given point y=x^4+2e^x
Oliga [24]
The slope of the line is given by the derivative

m = dy/dx =  4x^3 + 2e^x

using the point slope form of a straight line 
y - y1 = m(x - x1)     where m is the above and (x1,y1) is  the point of contact of the tangent  we have

y - y1 = (4x^3 + 2e^x)(x - x1)   which is equation of the tangent 
4 0
3 years ago
What is the distance between points F(6, 4) and G(14, 19)?
vredina [299]

Answer:

(-8,-15)

Step-by-step explanation:

(6,4) (14,19)

So, to find the distance you need to subtract from the x axis on both coordinates and the y axis on both coordinates.

(6-14) (4-19)

6-14= -8

4-19= -15

I also graphed it as well, so it should be correct.

(-8, -15)

5 0
3 years ago
HELP HELP HELP A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled
Softa [21]

Answer:

From x = -2 to x = 0, the average rate of change for both functions is negative

&

The quadratic function, y = x2, has an x-intercept at the origin

Step-by-step explanation:

5 0
3 years ago
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