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2 years ago

A car dealership has 24 feet of dividers with which to enclose a rectangular play space in a corner

Mathematics

1 answer:

blondinia [14]2 years ago

7 0

Answer:Answer:a) Area=f(x)= 24x-x^2

b) f(x) ranges from 0 to 144

c) Area max = 144 ft^2

Step-by-step explanation: shown in the attachment

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Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear in the roll. Which two

defon

Answer:

Let's analyze the possible sums of both dices, i will use the notation:

Dice1 + Dice 2 = sum.

also remember that we have 2 dices, with 6 options each.

So the total number of combinations is 6*6 = 36

we have 36 possible outcomes.

I will start at the extremes, the minimum that we can sum is 2, and the maximum is 12, then:

We can have 2 if:

1 + 1 = 2

only one permutation.

and 12 if:

6 + 6 = 12

Again, only one permutation.

so 2 and 12 have the same chance (1 out of 36)

now, to have 3 we can have:

2 + 1 = 3

1 + 2 = 3.

and to have 11

5 + 6 = 11

6 + 5 = 11

Again, 3 and 11 have the same probability (2 out of 36 options)

And now we can see a pattern.

4 and 10 will have the same chance.

5 and 9 will have the same chance

6 and 8 will have the same chance

7 is the only number that has an unique chance (and it has the largest one)

3 0

2 years ago

Rumor of the cancellation of final exams began to spread one day on a college campus with a population of 80 thousand students.S

Nikolay [14]

Answer:

P(t) is directly proportional to N and N'.

Where P is the increase in numbers of students who have heard the exam's cancellation rumor at any time t;

N is numbers of students who have heard the rumor of the exam's cancellation;

N' is numbers of students who have not heard the rumor of the exam's cancellation;

N' = (80 - N). Since the total number of students is 80;

K is the constant of the proportionality.

K is calculated to be 9/700

Therefore,

P(t) = KNN'

P(t) = (9/700) x N x (80 - N)

Step-by-step explanation:

The total number of students is 80. For N, N' = 80 - N.

Initially, 1 thousand people heard the rumor.

Within/after a day, the increased in number of students who have heard the rumor is P = 10 - 1 = 9

P = 9 = K x 10x (80-10)

9 = K x 10 x 70 = 700K.

Divide both sides by 700,

9/700 = (700/700)K

K = 9/700

Subtitle K into the equation P(t) = KNN'

P(t) = (9/700) x N x N'

P(t) = (9/700) x N x (80 - N), where N' = 80 - N

4 0

2 years ago

What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3

Sauron [17]

Answer:

The solution to the given system of equations is (-2, $\frac{5}{3}$ )

Therefore the values of x and y are x=-2 and $y=\frac{5}{3}$

Step-by-step explanation:

Given equations can be written as

$y=\frac{2}{3}x+3\hfill (1)$

$x=-2x+3x=-2\hfill (2)$

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

$y=\frac{2}{3}(-2)+3$

$=-\frac{4}{3}+3$

$=\frac{-4+9}{3}$

$=\frac{5}{3}$

Therefore the values of x and y are x=-2 and $y=\frac{5}{3}$

The solution to the given system of equations is (-2, $\frac{5}{3}$ )

5 0

2 years ago

Read 2 more answers

A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-

sergiy2304 [10]

Answer:

The t-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

$CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}$

Here,

$\bar x_{d}$ = sample mean of the difference,

$s_{d}$ = sample standard deviation of the difference,

n = sample size (both samples are of same size).

$t_{\alpha/2, (n-1)}$ = critical value of t

(n - 1) = degrees of freedom

The information provided is:

n = 5

Confidence level = 95%

The critical value of t is:

$t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}$

$=t_{0.025, 4}$

$=2.776$

*Use a t-table for the critical value of t.

Thus, the t-value used for the 95% confidence interval of paired data is 2.776.

4 0

2 years ago

Figure VWYX is a kite.

Charra [1.4K]

Answer:

Step-by-step explanation:

The total of angles in any quadrilateral is 360°. Angles V and Y are 90° each, so the total of W and X must be 180°.

(18x -2) +(12x +2) = 180

30x = 180

x = 180/30 = 6

The value of x is 6.

6 0

2 years ago

Read 2 more answers