Consider randomly selecting a single individual and having that person test drive different vehicles. Define events , , and by Suppose that , , , , , and . What is the probability that the individual likes both vehicle

Answer:

x = -2

Step-by-step explanation:

Given:

The sequence is:

25,43,61,79,97

To find:

The recursive formula for the given sequence.

Solution:

We have,

25,43,61,79,97

Here, the first term is 25. Now, the differences between the two consecutive terms are:

[tex]43-25=18[/tex]

[tex]61-43=18[/tex]

[tex]79-61=18[/tex]

[tex]97-79=18[/tex]

The differences between the two consecutive terms is common, i.e., 18. So, the given sequence is an arithmetic sequence.

The recursive formula of an arithmetic sequence is:

[tex]F(n)=F(n-1)+d[/tex]

Where, d is the common difference and F(1) is the first term.

Putting [tex]d=18[/tex], we get

[tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

Therefore, the required recursive formula is [tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

Step-by-step explanation:

This is my solution you honestly just need to cross multiply

Answer:

113.5

Step-by-step explanation:

32 : 4 = 908 : X

X = (4 * 908) / 32

X = 113.5

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

[tex]f(x)=\frac{x^2+12x+27}{x^2+4x+3}[/tex] because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

[tex]f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)}[/tex] and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

Answer:

72

Step-by-step explanation:

12 * 6 = 72

of course, IRL not every problem takes the same amount of time

Answer: if they are all algebra questions then 72

Step-by-step explanation:

12 + 12 + 12 + 12 + 12 + 12= 70

Answer:

Five

Step-by-step explanation:

Just look at the point where x=-6

Answer:

Step-by-step explanation:

To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!

answer is in photo above

Answer:

0.83333333333

Step-by-step explanation:

One-half plus one-third equals 5/6 or 0.8333.

Given that:

Expression: 1/2 + 1/3

To add one-half (1/2) and one-third (1/3), to find a common denominator and then add the fractions together.

The least common denominator (LCD) of 2 and 3 is 6. To convert the fractions to have a common denominator of 6, multiply the numerator and denominator of 1/2 by 3, and the numerator and denominator of 1/3 by 2:

1/2 × 3/3 = 3/6

1/3 × 2/2 = 2/6

Now that the fractions have a common denominator of 6, add them:

3/6 + 2/6 = 5/6

3/6 + 2/6 = 0.8333

Therefore, one-half plus one-third equals 5/6 or 0.8333.

Learn more about Divisor here:

https://brainly.com/question/30925934

#SPJ6

Answer:

(6,5)

Step-by-step explanation:

To keep the sides parallel, the y coordinate must be  the same as the top point so y = 5

The distance between the bottom points is 1, so the distance between the top points must be 1

The point could be at 5-1 =4  or 5+1 = 6

(4,5) or (6,5)

Given the choices listed

Answer: 170°

Step-by-step explanation: 8x +34 - (6x-22) =90 ==> 2x +56 =90 ==> x = 17 ==> góc R = 8*17 +34 = 170°

9514 1404 393

Answer:

  (b) 19.7 ft

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of the 3 straight sides and half the circumference of a 3-ft circle.

  P = 6 + 3 + 6 + (1/2)(π)(3) = 15 +3/2π ≈ 19.712 . . . feet

The perimeter is about 19.7 feet.

Answer:

260.

because 263 is below 265 so it wont change to 270.

Answer:

5,000

Step-by-step explanation:

5,000 x .05 = 250

250 + 1,250 = 1,500

Answer:

((90*3)+(40*6))/9

=(90+90+90+40+40+40+40+40+40)/9

=66.66

Step-by-step explanation:

A, higher than her sisters score

Answer:

C) 143

D) 37

E) 74

Step-by-step explanation:

C) 180 - 37 = 143

D) 180 - 143 = 37

E) 180 - 37 - 69 = E

Answer:

| PQ | = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Given

PQ = ai + bj + ck , then

| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]

Here PQ = 4i + 3j + 2k , then

| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]

Answer: 33.4

Step-by-step explanation:

Answer:

3/10 30%.3

hooe its write

Answer:

See Explanation

Step-by-step explanation:

Given

Edge Landscaping:

[tex]\begin{array}{cc}{Hours} & {Total} & {1.5} & {\$26} & {3} & {\$44} & {3.5} & {\$50} & {4.5} & {\$62} \ \end{array}[/tex]

The rates (m) of the above table is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have the following points

[tex](x_1,y_1) = (1.5,26)[/tex]

[tex](x_1,y_1) = (4.5,62)[/tex]

So, the rate is:

[tex]m = \frac{62 - 26}{4.5 - 1.5}[/tex]

[tex]m = \frac{36}{3.0}[/tex]

[tex]m = 12.0[/tex]

This means that the rate of edge landscaping is $12.0 per hour

The equation for Gatewood is not given. Hence, the rate cannot be calculated. However, the general procedure of calculating rates from a linear equation is as follows;

A linear equation is of the form:

[tex]y = mx + b[/tex]

Where:

[tex]m \to slope\ or\ rates[/tex]

In other words, if the equation is:

[tex]y = 20x + 5[/tex]

Then the rate is: 20 ($20/hour)

If the equation is: [tex]y = 10x + 5[/tex]

Then the rate is 10 ($10/hr)

Next, is to compare the rates;

For Edge landscaping, we have:

[tex]m = 12.0[/tex]

For Gatewood, we have:

[tex]m = 10[/tex] ------------ assume the equation is: [tex]y = 10x + 5[/tex]

Compare the rates:

[tex]12 > 10[/tex]

Hence, Edge landscaping has a greater hourly rate

Answer:

B.) 0.00692

Step-by-step explanation:

6.92 x 10^-3

0.00692

Answer:

RM79 608.51

Step-by-step explanation:

First year,

RM505 050.00×5%=RM505 050.00×5/100

=RM25 252.50

second year,

(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100

=RM26 515.13

third year,

(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100

=RM27840.88

three years interest,

RM25 252.50+RM26 515.13+RM27840.88=RM79608.51

I don't know that is R or RM

if it is R ,sorry

Hope can help!

Answer:

The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x), from x = a to x = b, is given by:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

In this question:

[tex]f(x) = 12(1.03)^n[/tex]

From n = 3 to n = 10

[tex]a = 3, b = 10[/tex]

[tex]f(b) = f(10) = 12(1.03)^{10} = 16.13[/tex]

[tex]f(a) = f(3) = 12(1.03)^{3} = 13.11[/tex]

Average rate of change:

[tex]A = \frac{f(b)-f(a)}{b-a} = \frac{16.13-13.11}{10-3} = 0.4314[/tex]

The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.

Answer:

-3x² + 12x + 2

Step-by-step explanation:

[tex]-3(x-2)^2+14\\-3(x-2)(x-2)+14\\-3(x^2-4x+4)+14\\-3x^2+12x-12+14\\-3x^2+12x+2[/tex]

Answer:

Letter A

Step-by-step explanation:

Hope this helps

Answer:

its A

Step-by-step explanation:

∠ b = 43° — — { Vertical opp. angles]

Now, see 43 and a are together compromising the linear pair so,

= 43 + a = 180°

= a = 180 - 43

= a = 137

Like b, similarly here also a = c = 137° {Vertical opp. angles}

Answer:

Step-by-step explanation:

There is a issue here...

is the spotted blue section considered "a blue sector"?

Assuming that "blue" or "red" is only a solid blue or red, this is the answer...

1)  (1/10)* (3/10) = .03

2) (3/10) * (3/10) = 9/100 = .09

3) (3/10) * (1/10) = 3/100 = .03

4) (4/10) * (3/10) = 12/100 = .12

if the spotted blue and the solid blue are considered blue then this would be the result ...

1)  (1/10)* (3/10) = .03

2) (4/10) * (3/10) = 12/100 = .12

3) (3/10) * (1/10) = 3/100 = .03

4) (8/10) * (3/10) = 24/100 = .24

Answer:

We count across to 4 on y axis = 2

and count down from 4 to  -2 on x axis = -6

-6/2 = -3

m = -3

We know its minus because the reciprocal is the perpendicular imaginary line and if -3 is for the descending line then any ascending perpendicular line would show m = -1/-3 = 3

Step-by-step explanation: