how many outcomes are possible when rolling a number cube and picking a cube from 4 colored cubes

Answer:

If it is dot product, then 32.

Step-by-step explanation:

3*2+7*4

6+28

32

The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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Answer:

The answer is 4

Step-by-step explanation:

Triangle DEF is a reflection and dilation of Triangle ABC

DF=3 = BC=12

Multiply DF by 4 and you will get 12 (BC)

To determine the z-score of a raw data x, we have the formula below:

Based on the question, our mean is 73 and standard deviation is 10.8.

a. x = 85 (raw data is 85)

Let's plug these values to the z formula.

We subtracted the mean from the raw data first (85 - 73 = 12). Then, we divide the results by 10.8. The result is 1.11.

Hence, equivalent z-score of x = 85 is 1.11.

Answer:

C=√4^2+100^2=100.08

Step-by-step explanation:

Assuming you mean 2x² + 8x − 1 = 0, this equation isn't factorable, so use quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -8 ± √(8² − 4(2)(-1)) ] / 2(2)

x = [ -8 ± √(64 + 8) ] / 4

x = (-8 ± √72) / 4

x = (-8 ± 6√2) / 4

x = (-4 ± 3√2) / 2

There you go

I hope this help you

Answer:

(4, 1 )

Step-by-step explanation:

the solution to a system of equations given graphically is at the point of intersection of the 2 lines.

the lines intersect at (4, 1 )

then the solution is (4, 1 )

Since lines p and q are parallel

Since line t intersect them, then

<2 and the angle of measure 55 degrees are corresponding angles

Since the corresponding angles are equal in measures, then

m < 2 = 55 degrees

Since < 2 and < 4 form a pair of linear angles

Since the sum of the measures of the linear angles is 180 degrees, then

m < 2 + m < 4 = 180

55 + m < 4 = 180

Subtract 55 from both sides

55 - 55 + m < 4 = 180 - 55

m < 4 = 125 degrees

Since < 4 and < 5 are alternate angles

Since alternate angles are equal in measures, then

m < 4 = m < 5

m < 5 = 125 degrees

Answer: mmm

Step-by-step explanation:

mmm

The product of two binomials is the result of multiplying each term from the first binomial by each term from the second binomial. The product of the two binomials, (-5x-1) and (2x+8), is\(0x^2+(-10x-2x)+(-8x-8)\) which simplifies to -18x-10.

To calculate the product of the two binomials, we multiply the coefficients of each term together and add the exponents of the same base together. The coefficients of the first binomial, -5x and -1, are multiplied together to give a coefficient of -5. The exponents of x, 1 and 0, are added together, giving an exponent of 1. Thus, the first term is\(-5x^1\). The coefficients of the second binomial, 2x and 8, are multiplied together to give a coefficient of 16. The exponents of x, 1 and 0, are added together, giving an exponent of 1. Thus, the second term is\(16x^1\).The last terms, -1 and 8, are multiplied together to give a coefficient of -8. The exponents of x, 0 and 0, are added together, giving an exponent of 0. Thus, the third term is\(-8x^0\), which simplifies to -8.When all the terms are combined, the product of the two binomials, (-5x-1) and (2x+8), is -18x-10.

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Step-by-step explanation:

Mateo home is 2x miles from lexis home and school

Applying the concept of Algebraic expressions, the distance from school to Lexi's home is twice the distance to Mateo's home. Therefore, if Mateo's home is x miles from school, then Lexi's home is 2x miles from school.

The question is asking about a comparison between the distances from school to Mateo's and Lexi's homes. The distance from school to Mateo's home is given as x miles. In the question, we know that Lexi's home is twice as far from the school as Mateo's home. Therefore, to express this, we multiply the distance of Mateo's home (x) by 2. This gives us 2x, which is option C from the choices you provided. Hence, the correct expression representing the distance from the school to Lexi's home, in miles, is 2x.

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a. The probability that a failure is due to an induced substance is 0.013487 or 1.35% approximately.

b. Probability of a failure due to disease or infection= 44%.

a. Determine the probability that a failure is due to an induced substance.

The total percentage of heart failures that are caused by outside factors is 19%, of which 73% are due to induced substances.

Therefore, the probability that a failure is due to an induced substance = 73/100*19/100= 0.013487 or 1.35% approximately.

b. Determine the probability that a failure is due to disease or infection.

The total percentage of heart failures that are caused by natural occurrences is 81%, of which disease accounts for 27% and infection (e.g., staph infection) accounts for 17%.

Therefore, the probability that a failure is due to disease or infection = 27/100 + 17/100= 0.44 or 44% approximately.

Probability of a failure due to induced substance= 1.35% (approx.)Probability of a failure due to disease or infection= 44% (approx.)

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Answer:

21.25

Step-by-step explanation:

Answer:

21.25

Step-by-step explanation:

4.25x5=21.25

Answer:

42 minutes.

Step-by-step explanation:

We know that:

y = 0.2*x

is the equation that that defines the distance, in miles, that the boat travels in x minutes.

We know that the dolphins are at 8.4 miles from the boat.

Then when we have y = 8.4, this will mean that the boat reached the dolphins.

Then we need to solve the equation:

y = 8.4 = 0.2*x

for x

To do that, we just need to isolate x in one side of the equation, so we can just divide both sides by 0.2 to get:

8.4/0.2 = (0.2*x)/0.2

42 = x

And x is time in minutes, thus, the boat needs to travel for 42 minutes to reach the dolphins.

Answer:

Step-by-step explanation:

(x + 2)(x +9)= x*(x +9) + 2*(x +9)

                   = x*x  + x*9  + 2*x + 2*9

                   = x² + 9x + 2x + 18   {Combine like terms}

                    = x² + 11x  +18

Answer:

x^2 + 11x + 18

Step-by-step explanation:

I assume this is asking about (x+2)(x+9), so if it isn't, then I can't be sure this is right.

That said, the distributive property has to do with multiplication of things in parentheses, meaning you must multiply this expression out to get what the question is asking. When it comes to 2 binomials, you can use the common abbreviation First Inside Outside Last, or FOIL.

Multiply the First terms: x * x = x^2

Multiply the Outside terms: x * 9 = 9x

Multiply the Inside terms: 2 * x = 2x

Multiply the Last terms: 2 * 9 = 18

This leaves you with x^2 + 9x + 2x + 18. Combine your like terms (9x and 2x) to get x^2 + 11x + 18 and you're done!

Answer:

[C] 44°

Explanation:

Equation: x + 46 = 90

Subtract 46 From Both Sides

x + 46 - 46 = 90 - 46

x = 44

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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Answer:

f = 22

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

140° is an exterior angle of the triangle, thus

4f + 1 + 51 = 140, that is

4f + 52 = 140 ( subtract 52 from both sides )

4f = 88 ( divide both sides by 4 )

f = 22

Answer:

10,000

Step-by-step explanation:

100/0.01 is 10k

9514 1404 393

Answer:

  (i)  5/12

  (ii)  720

  (iii)  420

Step-by-step explanation:

(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.

  The person who lost received 5/12 of the total votes.

__

(ii) The winner won by 7/12 -5/12 = 2/12 = 1/6 of all votes. So, the total number of votes is ...

  120 votes = 1/6(total votes)

  total votes = 6×120 votes = 720 votes

There were 720 registered voters.

__

(iii) The winner received ...

  (7/12)(720 votes) = 420 votes . . . received by the winner

Answer:

20 containers

Step-by-step explanation:

5L =  5000ml

so,

5000/250 = 20 containers

I hope my answer helps you.

fill 5L tank using 250 ml container .

how many full containers are required to fill the tank.

1 L= 1000 mL

1000 mL/250mL = 4

1 L= 4 full containers

4 containers x 5 liters = 20 full containers.

so, 20 full containers are required to fill the fish tank.

Answer:

The total number of people at the stadium was 3200.

Step-by-step explanation:

5% = 160

160 x 20= 3200

Since 20 x 5 is 100, I multiplied 160 by 20 to get 3200.

Answer:

The circumference for circle a is \( \\ C = 131.9430\)m.

The circumference for circle b is \( \\ C = 175.9240\)m.

The relationship between the radius of a circle and the circumference (the distance around the circle) is constant and is the same for all circles and can be written as \( \\ \frac{C}{r} = 2\pi\) or, in a less familiar form, \( \\ \frac{r}{C} = \frac{1}{2\pi}\). The number \( \\ \pi\) is constant for all circles and has infinite digits, \( \\ \pi = 3.14159265358979....\).

Step-by-step explanation:

The circumference of a circle is given by:

\( \\ C = 2*\pi*r\) [1]

Where

\( \\ C\) is the circle's circumference.

\( \\ r\) is the radius of the circle.

And

\( \\ \pi = 3.141592....\) is a constant value (explained below)

We can say that the distance around the circle is the circle's circumference.

The circumferences of the two circles given are:

Circle a, with radius equals to 21 meters (\( \\ r = 21m\)).

Using [1], using four decimals for \( \\ \pi\), we have:

\( \\ C = 2*\pi*r\)

\( \\ C = 2*3.1415*21\)m

\( \\ C = 131.9430\)m

Then, the circumference for circle a is \( \\ C = 131.9430\)m.

Circle b, with radius equals to 28 meters (\( \\ r = 28m\)).

\( \\ C = 2*3.1415*28\)m

\( \\ C = 175.9240\)m

And, the circumference for circle b is \( \\ C = 175.9240\)m.

We know that

\( \\ 2r = D\)

That is, the diameter of the circle is twice its radius.

Then, if we take the distance around the circle and we divided it by \( \\ 2r\)

\( \\ \frac{C}{2r} = \frac{C}{D} = \pi\)

This ratio, that is, the relationship between the distance around the circle (circumference) and the diameter of a circle is \( \\ \pi\) and is constant for all circles. This result is called the \( \\ \pi\) number, which is, approximately, \( \\ \pi = 3.141592653589793238....\) (it has infinite number of digits).

We can observe that the relationship between the radius of a circle and the circumference is also constant:

\( \\ \frac{C}{2r} = \frac{C}{D} = \pi\)

\( \\ \frac{C}{2r} = \pi\)

\( \\ \frac{C}{r} = 2\pi\)

However, this relationship is \( \\ 2\pi\).

We can rewrite it as  

\( \\ \frac{r}{C} = \frac{1}{2\pi}\)

And it is also constant.

Answer:

Circle A is 42π

circle C is 56π

Answer:

135 ft²

Step-by-step explanation:

The profile is composed of a triangle and a rectangle.

Area of profile = (area of triangle) + (area of rectangle)

= (½×base×height) + (length × width)

Where,

base of triangle = 15 ft

height of triangle = 11 - 7 = 4 ft

length of rectangle = 15 ft

width of rectangle = 7 ft

Plug in the values

Area of profile = = (½×15×4) + (15×7)

= 30 + 105

Area of profile = 135 ft²

Answer:

no se

tep-by-step explanation:

Answer:

if f(g(x)) = g(f(x)), then x is equal to zero.

Step-by-step explanation:

given:

f(x) = 2x²

g(x) = x + 1

then:

f(g(x)) = 2(x + 1)²

g(f(x) = 2x² + 1

so if:

f(g(x)) = g(f(x))

then:

2(x + 1)² = 2x² + 1

2(x² + 2x + 1) = 2x² + 1

2x² + 2x + 1 = 2x² + 1

2x = 0

x = 0