Consider the figure below. What is the perimeter of the figure?

The probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube is [tex]\( \frac{1}{27} \)[/tex].

To find the probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube, we first need to determine the total number of outcomes and the number of favorable outcomes.

Total outcomes for each roll = 6 (since there are 6 sides on the cube).

Favorable outcomes for a multiple of 3 on each roll = {3, 6} (numbers divisible by 3).

Thus, the probability of rolling a multiple of 3 on each roll is 2 out of 6, or [tex]\( \frac{2}{6} \)[/tex].

Since each roll is independent, we multiply the probabilities of each roll:

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right)^3 \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{1}{3} \right)^3 \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \frac{1}{27} \][/tex]

So, the probability of rolling a multiple of 3 on all three rolls is [tex]\( \frac{1}{27} \)[/tex].

Answer:

See bold face answers below.

Step-by-step explanation:

If c^2 = a^2 + b^2, then the triangle is a right triangle.

If c^2 > a^2 + b^2, then the triangle is an obtuse triangle.

If c^2 < a^2 + b^2, then the triangle is an acute triangle.

Always keep "c" on the left side to avoid confusion when classifying.

Answer:

24*(1-0.5^n)/0.5

Step-by-step explanation:

Answer: 80% of the magazines are women's magazines

Step-by-step explanation: (28÷35)× 100/1= 80%.

Answer:

2x + 7

Step-by-step explanation:

0,7 is the y intercept, so plus 7 is a given

0,7    1,9    use rise/run

9-7/1-0 = 2/1

so 2x + 7

Answer:

C. Yes, because the population values appear to be normally distributed.

Step-by-step explanation:

Answer:

c) yes, because the population values appear to be normally distributed

Step-by-step explanation:

edge 2021

Answer:

The area of the baseboard is 13.5m²

Step-by-step explanation:

Given data

Length of the bed L=15m

Width of of the bed B=9/10m

Area of the board A=?

We know that the area of the board

Area A=length x width

Substituting our given data we have

A=15*9/10

A=135/10

A=13.5m²

Hence the area of the board is 13.5m²

The area of the baseboard that Chris needs to install in his room, represented as a rectangle with length 15 meters and width 9/10 meters, is 13.5 square meters.

In the field of Mathematics, to find the area of a rectangle (which is the shape being represented by the baseboard's dimensions that Chris is working with), you multiply the length by the width. Given that the length of the bed is 15 meters and the width is 9/10 meters, the area of the rectangular baseboard can be found by multiplying these values. So, area = 15 meters * 9/10 meters = 13.5 square meters. Therefore, the area of the baseboard that Chris needs to install is 13.5 square meters.

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Answer:

360

Step-by-step explanation:

The sum exterior angles of any number of side polygon is always 360

Answer:

mme 3 is 20

Step-by-step explanation:

i dont like to do work

Answer:

V= 103.9 mm^3 and 72.7 mg

Step-by-step explanation:

Edge

Answer:

B

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 2)² + k ← is in vertex form

with (h, k) = (2, 4)

Thus the minimum value is 4 when x = 2 → B

Answer:

[tex] 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]

Step-by-step explanation:

[tex](6 {x}^{3} + 3 {x}^{2} + 3) + (2 {x}^{3} - 5x + 1) \\ = 6 {x}^{3} + 2 {x}^{3} + 3 {x}^{2} - 5x + 3 + 1 \\ = 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]

Answer:

d. 4 ft

Step-by-step explanation:

1/2h(b1+b2)

1/2h(10)=20

multiply both sides by 2

h(10)=40

divide both sides by 10

h=4

Answer:

m=0.19

Step-by-step explanation:

To work this out you would divide 0.95 by 5. this is because 0.95 is equal to 5*m and so so work out m you would divide 0.95 by 5.

[tex]0.95/5=0.19\\m=0.19[/tex]

For this case we have that by definition, the volume of a cone is given by:

[tex]V = \frac {1} {3} * \pi * r ^ 2 * h[/tex]

Where:

r: It is the radius of the cone

h: Is the height of the cone

We must find the radius knowing that the circumference of the base of the cone is[tex]19.1 \ ft[/tex]

[tex]2 \pi * r = 19.1\\r = \frac {19.1} {2 \pi}\\r = 3.04 \ ft[/tex]

Thus, we substitute in the formula:

[tex]V = \frac {1} {3} * \pi * (3.04) ^ 2 * 5.3\\V = \frac {1} {3} * \pi * 9.25 * 5.3\\V = \frac {1} {3} * 154.0165\\V = 51.34[/tex]

Thus, the volume of the cone is: [tex]51.34 \ ft ^ 3[/tex]

Answer:

[tex]51.3 \ ft ^ 3[/tex]

Answer:

51.3 ft^3

Step-by-step explanation:

Answer:

The last graph, aka D.)

Step-by-step explanation:

Sorry for the extremely late response,

Hope this helps ppl of the future. ;))

~nxmbus

To calculate the compound interest, use the formula A = P (1 + r/n)^(nt). For the given values, the final amount after 5 years of monthly compounded interest on $2,000 can be calculated.

To calculate the compound interest, we can use the formula:

A = P (1 + r/n)^(nt)

Where:

A = final amount

P = principal amount ($2,000)

r = annual interest rate (3%)

t = time in years (5 years)

n = number of times the interest is compounded per year (12 for monthly compound interest)

Plugging in the values, we have:

A = 2000 (1 + 0.03/12)^(12*5)

Simplifying the equation will give us the final amount after 5 years of monthly compounded interest on $2,000.

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Answer:

3:30 pm

Step-by-step explanation:

Games : 1 hour

Cleaning : 1 hour

Homework: 30 minutes

Total time

1+1+ 30 minutes

She started at 1 pm

1 + 2 hour 30 minutes

1 +2 hours = 3 pm

3+30 minutes = 3:30

Answer:

1:00 pm + 1 hr = 2:00pm

2:00pm + 1 hr= 3:00pm

3:00pm +30 mins = 3:30 pm

Answer:

Square root of 36.

Step-by-step explanation:

The square root of 36 = 6  so this is rational.

Recall that a rational number is one that can be written as a/b  where a and b are not 0. 6 can be written as 6/1.

Answer:

6

Step-by-step explanation:

The square root of 36 is 6

Answer:

6.46 mm

Step-by-step explanation:

Marvin would need 6.25 cans of paint for square 1.

Using ratio of paint used

We are given that it takes 4 cans of paint to paint square 3 and 5 cans of paint to paint square 2.

This suggests a possible ratio between the amount of paint needed for different squares. Let's assume this ratio remains constant.

If the ratio between squares 2 and 3 is r, then:

Paint needed for square 2 = 5 cans = r * Paint needed for square 3

Paint needed for square 3 = 4 cans

Solving for r: r = 5 cans / 4 cans = 1.25

Assuming the same ratio applies to square 1 and 2:

Paint needed for square 1 = r * Paint needed for square 2

Paint needed for square 1 = 1.25 * 5 cans = 6.25 cans

Therefore, Marvin would need 6.25 cans of paint for square 1.

Complete question:

Marvin is painting three squares shaped like the one below. If it takes him exactly four cans of paint to paint square 3 and five cans of paint to paint square 2, how many cans of paint should he need to paint square 1?

Final answer:

To find the number of possible codes, we can use the concept of permutations. There are 7 digits to choose from and we need to select all of them. Therefore, there are 5,040 possible registration codes.

Explanation:

To find the number of possible codes, we can use the concept of permutations.

Since the code must be made up of 7 digits and each digit can only be used once, we can calculate the number of permutations of the 7 digits. The formula to use is nPr = n! / (n - r)!, where n is the total number of elements and r is the number of elements to be selected.

In this case, there are 7 digits to choose from and we need to select all of them.

So we plug in n = 7 and r = 7 into the formula:

nPr = 7! / (7 - 7)! = 7! / 0! = 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040

Therefore, there are 5,040 possible registration codes.

Answer:

25.9666 m

Step-by-step explanation:

The 4 arches combine to for a circle, so then you can find the area of the shaded region by subtracting the area of the square from the area of the circle.

The formula for area of a circle is A=[tex]\pi[/tex]r^2

Since the radius of the circle would be 11/2 or 5.5, the area if the circle would be [tex]\pi[/tex] x 5.5^2. This equals 95.0334.

The area of the square would be 11 x 11 = 121.

The 121-95.0334= 25.9666 m

Answer:

(x-2)(x+1)

Step-by-step explanation:

x²-x-2 can be factored into:

(x-2)(x+1)

Support me by selecting my answer as brainiest.

Step-by-step explanation:

The table of three and x is common

So

3x ( x + 5)

Is the answer

Answer: -3

Step-by-step explanation: 3 times 4 - 15

We can't see any choices but it doesn't matter.  That's the factorization of the difference of two squares.  It's important to recognize either side when you see it; the usual next move is to replace it with the other side.

(x + y)(x – y) = x² - y²

Answer: x² - y²

Answer:

932.58 in ^ 2 is needed

Step-by-step explanation:

What we need to do is calculate the area of all the circles and add it up, so we know how many square inches of paint are going to be needed.

We know that the area of a circle has the following formula:

A = pi * r ^ 2

there are 4 circles:

radio of 2 inches:

A = 3.14 * 2 ^ 2 = 12.56 in ^ 2

radio of 4 inches:

 A = 3.14 * 4 ^ 2 = 50.24 in ^ 2

radio of 9 inches:

A = 3.14 * 9 ^ 2 = 254.34 in ^ 2

radio of 14 inches:

A = 3.14 * 14 ^ 2 = 615.44 in ^ 2

12.56 + 50.24 + 254.34 + 615.44 = 932.58

a total of 932.58 in ^ 2 is needed

Answer:

Option A

Step-by-step explanation:

If you take a look at the translation described in option A, the x value is increased by 1 (from -2 to -1), and the y value is decreased by 5 (from -5 to -10), meaning that you have made this jump with just one translation. Hope this helps!

Answer:

-14

Step-by-step explanation:

-10-18=-28 -28/2=-14

Step-by-step explanation:

P(t) = 12,000 (2)^(-t/15)

9,000 = 12,000 (2)^(-t/15)

0.75 = 2^(-t/15)

ln(0.75) = ln(2^(-t/15))

ln(0.75) = (-t/15) ln(2)

-15 ln(0.75) / ln(2) = t

t = 6.23

The time it would take for Sawyerville's population to decrease to 9000 can be calculated by setting the population function equal to 9000 and solving for 't'. After a series of algebraic transformations, you can isolate 't' and calculate its value with a scientific calculator.

To find the amount of time it will take for Sawyerville's population to fall to 9000 people, we can set up the equation: P(t) = 9000. Therefore, we have 9000 = 12,000 - 2-t/15.

To solve this equation, we first need to isolate the exponential term by subtracting 9000 from both sides, getting 3000 = 2-t/15. Then, we take the natural logarithm (ln) of both sides to remove the exponential term, resulting in ln(3000) = -t/15*ln(2). Divide both sides by -ln(2) and multiply them by 15 to find 't'. The final equation is: t = -15*ln(3000)/ln(2).

In this particular problem, you may need the help of a scientific calculator to compute the value of 't'.

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Answer:

192

Step-by-step explanation:

If the mean is 120 and the standard deviation is 24, then 3 standard deviations above the mean would be 24(3) = 72 + 120 = 192.

192 is the score that is 3 standard deviations above the mean.

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Mean= 120

Standard Deviation = 24

So, the score for 3 standard deviations above the mean

= 24(3) + 120

= 72 + 120

= 192.

Hence, 192 is the score that is 3 standard deviations above the mean.

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