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Fed [463]
3 years ago
11

A

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

Answer:

B. The probability of getting a red convertible is 0.10.

Step-by-step explanation:

Independent events:

Two events, A and B, are independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

P(A \cap B) = P(A) \times P(B)

In this question:

Event A: Red car -> 0.25 probability

Event B: Convertible car -> 0.4 probability

Independent if:

The probability of getting a red convertible car is:

P(A \cap B) = P(A) \times P(B) = 0.25*0.4 = 0.1

Thus, the correct answer is given by option B.

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se
kolbaska11 [484]

Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

3 0
3 years ago
Point A is located at (-2, -6) and is translated 4 units up. What are the coordinates of point A'?
defon

Answer:

(-2, -2)

Step-by-step explanation:

Red point represents (-2,-6) while blue point represents (-2,-2). count the numbers upward and it'll be 4 units. Best thing to do in this problem is to plot the given points and go from there.

4 0
3 years ago
Read 2 more answers
4. A typical smartphone battery (yes that includes iphones) degrades at approximately 1%
Zielflug [23.3K]

Answer:

a. f(t) = (0.99)^{t} 100%\\

b. The x - intercept represents the time at which the battery life drops to 0 %.

c. The y - intercept represents the initial battery life.

Step-by-step explanation:

a. Construct an equation using f(t) and t that represents the relationship between

"f(t)" the battery capacity of a typical smartphone after "t" months and "L" the

number of months the smartphone has been in normal use.

Let the initial battery life be I.

After one month, it decreases by 1%. So, our new value, I' = initial value - decrease = I - 1%I = 99%I.

After two months, it decreases by 1% to our new value I". So, our new value, I" = initial value - decrease = I' - 1%I' = 99%I' = 99%(99%)I = (99%)²I

After three months, it decreases by 1% to our new value I'". So, our new value, I"' = initial value - decrease = I" - 1%I" = 99%I" = 99%(99%)²I = (99%)³I

We see a pattern here.

After t months, f(t)

f(t) = (0.99)^{t} 100%\\

b. What does the horizontal intercept represent in context? (The x-intercept)

The x - intercept represents the time at which the battery life drops to 0 %.

c. What does the vertical intercept represent in context? (The y-intercept)

The y - intercept represents the initial battery life.

5 0
3 years ago
6+9=============================================================================================================================
Scilla [17]

Answer:

15

Step-by-step explanation:

6+9=15

7 0
4 years ago
Read 2 more answers
A number when divided by 38, leaves quotient 116 and
inessss [21]
104827291 and then add 10404
5 0
3 years ago
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