Express 16 as a product of its prime factors.

Answer:

0.0003652

Step-by-step explanation:

3.652 * [tex]10^{-4} = \frac{3.652}{10^{4}}= \frac{3.652}{10000}=0.0003652[/tex]

Answer:

The size of the crowd that is 5 feet deep on both sides of the street along a 2-mile section of a parade route is 42,240 people

Step-by-step explanation:

The number of people that can fit comfortably in a 5 feet by 5 feet area = 10

Therefore;

The ratio of the number of people per unit area = 10/(5 × 5) = 10/25

The area, A, occupied by the crowd = 5 feet × 2 mile × 2

2 miles = 10,560 feet

∴ A = 5 feet × 10,560 feet × 2 = 105,600 ft²

We then have;

[tex]\dfrac{Number \ of \ people}{105,600} =\dfrac{10}{25}[/tex]

[tex]Number \ of \ people = {105,600} \times \dfrac{10}{25} = 42,240 \ people[/tex]

Answer: B. It is a continuous random variable.

Step-by-step explanation:

A continuous random variable is a random variable where the data or value can assume infinitely many values ( meaning it’s a continuous set of data. )

For example a random variable measuring the time taken for someone to cook rice is continuous since there are an infinite number of possible times that can be done.

Answer:

its b i got it right

Step-by-step explanation:

Answer:

Height of the tank is 1.5m

Step-by-step explanation:

Given

Shape: Cuboid

Base Dimension = 2.5m by 2m

Volume = 7500 litres

Required

Determine the height of the tank

First, the area of the base has to be calculated;

[tex]Area = 2.5m * 2m[/tex]

[tex]Area = 5.0m^2[/tex]

Next is to calculate the height using volume formula;

[tex]Volume = Area * Height[/tex]

Recall that Volume = 7500L [Convert to m³]

[tex]1 L = 0.001m^3[/tex]

So;

[tex]7500L = 7500 * 0.001m^3[/tex]

[tex]7500L = 7.5m^3[/tex]

Hence;

[tex]Volume = 7.5m^3[/tex]

Substitute 7.5m³ for Volume and 5.0m² for Area in the following formula

[tex]Volume = Area * Height[/tex]

[tex]7.5m\³ = 5.0m\² * Height[/tex]

Divide both sides by 5.0m²

[tex]\frac{7.5m\³}{5.0m\²} = \frac{5.0m\² * Height}{5.0m\²}[/tex]

[tex]\frac{7.5m\³}{5.0m\²} = Height[/tex]

[tex]1.5m = Height[/tex]

[tex]Height = 1.5m[/tex]

Hence, the height of the tank is 1.5m

Answer:

The correct box plot is B  (Bottom left)

Step-by-step explanation:

I have attached the appropriate picture containing the box plots to this answer. In order to choose the most appropriate box plot, we have to find the median of the distribution and locate the box plot showing the correct median. This is done as follows:

To find the median, we will first arrange the distribution in ascending (or descending) order

Median = 52, 54, 56, 58, 60, 62, 64

Next, we will group the data into two halves, and choose the middle term, which is 58. this becomes the median.

From the diagram, box plots, A, B and C have their median as 58, in order to determine the correct plot, we will find the medians to the lower and upper halves of the distribution. This is done as follows:

Lower half: 52, 54, 56, 58

Median of lower half = (54 + 56) ÷ 2 = 55

upper half = 58, 60, 62, 64

Median of upper half = (60 + 62) ÷ 2 = 61

From the picture the plot with these three medians from lower half to upper half (55, 58, 61) is plot B (bottom left)

Note the medians are the lines that form the boundaries and at the middle of the box.

Answer:

The answer is B bottom left :

━━━━━━━☆☆━━━━━━━

▹ Answer

3.73 or 3 11/15

▹ Step-by-Step Explanation

15x + 2 = 58

Do the inverse operation (subtract 2 from both sides)

2 - 2 = na

58 - 2 = 56

15x = 56

Divide 15 on both sides:

15/15 = x

56/15 = 3.73 or 3 11/15

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

Factorize 625 & 48

625 = 25 * 25 = 5 * 5 * 5 * 5 = 5⁴

48 = 16 * 3 = 2 * 2 * 2 * 2 *3 = 2⁴ * 3

[tex]\sqrt[4]{625*48} = \sqrt[4]{5^{4} * 2^{4} * 3}=5*2\sqrt[4]{3}[/tex] =[tex]10\sqrt[4]{3}[/tex]

Answer:

m<ABC=27°

m<DBC=56°

Step-by-step explanation:

(x+10)+(4x-12)=83

5x-2=83

5x=83+2

5x=85

x=17

m<ABC=(x+10)=(17+10)=27°

m<DBC=(4x-12)=(4*17-12)=56°

Answer:

y = -1

Step-by-step explanation:

1/2 of 4y + (y + 3) = 0

1/2 X 4y + (y + 3) = 0

4y/2 + (y + 3) = 2y + y + 3 = 0

3y = -3

∴ y = -1

Answer:

1/2*4*y+(y*3)

1/2*4*y+(3y)

1/2*4y+(3y)

2y+(3y)

=5y

Step-by-step explanation:

Answer:

x= no real numbers

Step-by-step explanation:

4+2(a+5)<-2(-a-4)

Distribute

4+2*a+2*5<-2*-1-2*-4

Simplify.

4+2a+10<2a+8

14+2a<2a+8

Subtract 2a from both sides

14<8

This is false.

There are no real solutions to the given inequality,

Answer:

x = 14

Step-by-step explanation:

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

7x - 3 is an exterior angle of the triangle, thus

7x - 3 = 4x - 2 + 41

7x - 3 = 4x + 39 ( subtract 4x from both sides )

3x - 3 = 39 ( add 3 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Answer:

The image is not shown, but this can be answered.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

This says that, for any given two points, we can find a line that passes through both of them.

Then we have that two points are ALWAYS collinear.

Then does not matter which points the student chooses, because we can find a line that passes through them, then the probability that these randomly chosen points are collinear is 1 or 100% in percentage form.

Answer: x+ 2x -3 = 12

Step-by-step explanation:

x represents Michael's laps. 2x -3 represents Braden's laps. Added together for a total of 12

One step further would be to combine the x terms, so the equation becomes 3x - 3 = 12

Answer:

r = 2q - 6

Step-by-step explanation:

10q - 5r = 30

-10q        -10q

-5r = -10q + 30

/-5     /-5     /-5             -10/-5 = 2        30/-5 = -6

r = 2q - 6

Answer:

See explanation

Step-by-step explanation:

The golden rule for solving equations is to

A. Simplify each side of the equation by removing parentheses and combining like terms

B. Add/Subtract to isolate the term with the variable on one side

C. Use multiplication/division to isolate the variable

Let's assume we have the equation [tex]2x + 3x + (5\cdot2) = 35[/tex]

The first thing we need to do is solve inside the parentheses and combine like terms. 2x and 3x are like terms, so:

[tex]2x + 3x + 10 = 35\\\\5x + 10 = 35[/tex]

Now we have to subtract/add to isolate the term with the variable. To do this, we can subtract 10 from both sides.

[tex]5x + 10 - 10 = 35-10\\\\5x = 25[/tex]

Now we divide to isolate x.

[tex]5x \div 5 = 25\div5\\\\x = 5[/tex]

Hope this helped!

Answer:

Option C

Step-by-step explanation:

If we see, the order is that:

if 1 green block increases, then 1 blue block will increase in the next.

Since, 1 green block increased, so 1 blue block will increase in the next.

So, the answer is C.

Answer:

Step-by-step explanation:

[tex]16\:girls \\14\:boys\\\\Probability = \frac{Event}{Total \:possible\:outcome}\\\\ Event=16\\\\ Total\:possible\:outcome = 16+14=30\\\\P = \frac{16}{30}\\ \\Probability = \frac{8}{15}[/tex]

Answer:

257.8

Step-by-step explanation:

The angle of 4.5 radians is approximately equal to 257.8 degrees.

The formula to convert radians to degrees is written as follows:

degrees = radians x (180/π)

where π (pi) is approximately 3.14159.

To convert 4.5 radians to degrees, we can use the conversion factor 180/π, which is the number of degrees in one radian.

degrees = 4.5 x (180/π)

degrees ≈ 257.87 degrees (rounded to the nearest 10th).

Therefore, the angle of 4.5 radians is approximately equal to 257.8 degrees.

Learn about the conversion of  radians to degrees here:

https://brainly.com/question/31673497

#SPJ2

Answer:

6

Step-by-step explanation:

3x + y =

= 3(1) + 3

= 3 + 3

= 6

Answer:

The probability that the middle school student owns a skateboard or a bicycle is 0.61.

Step-by-step explanation:

We are given that the probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48, and owning both is 0.45.

A middle school student is chosen at random.

Let the probability of student owning a skateboard = P(S) = 0.58

The probability of student owning a bicycle = P(B) = 0.48

The probability of student owning both = P(S [tex]\bigcap[/tex] B) = 0.45

Now, the probability that the middle school student owns a skateboard or a bicycle is given by = P(S [tex]\bigcup[/tex] B)

        P(S [tex]\bigcup[/tex] B) = P(S) + P(B) - P(S [tex]\bigcap[/tex] B)

                      = 0.58 + 0.48 - 0.45

                      = 0.61

Hence, the probability that the middle school student owns a skateboard or a bicycle is 0.61.

Answer:

factor of hundred is

100 - 1, 2,4,5,10,100

Answer:

we have 6 planes of symmetry

Answer:

see below (I hope this helps!)

Step-by-step explanation:

A real-life situation for this inequality could be "Tom runs a lemonade stand. His profit is x. If Tom knows that his profit is less than 2 dollars, what inequality represents this situation?"

Answer:

Approximately 54°

Step-by-step explanation:

So we know Angle A, the side opposite to Angle A, and the side opposite to Angle B (the angle we want to find). Given these circumstances, we can use the Law of Sines.

The Law of Sines states that:

[tex]\frac{\sin(A)}{a} =\frac{\sin(B)}{b} =\frac{\sin(C)}{c}[/tex]

The variables do not really matter. Instead, it's more important that the angle corresponding to the side lines up with each other.

Anyways, since we know Side A, Angle A, and Side B, let's use the first and second ratios:

[tex]\frac{\sin(A)}{a} =\frac{\sin(B)}{b}[/tex]

Plug in 80° for A, 11 for a, and 9 for b:

[tex]\frac{\sin(80)}{11} =\frac{\sin(B)}{9}[/tex]

Cross multiply to solve for B:

[tex]9\sin(80)=11\sin(B)[/tex]

Divide both sides by 11:

[tex]\sin(B)=\frac{9\sin(80)}{11}[/tex]

Use the inverse sine function. And finally, use a calculator to solve:

[tex]\angle B =\sin^{-1}(\frac{9\sin(80)}{11} )\\\angle B\approx53.6829\textdegree\approx54\textdegree[/tex]

Answer:

1 5/7

Step-by-step explanation:

[tex]\frac{12}{7} \\= 12\div 7 = 1\: remainder\: 5\\\\= 1 \frac{5}{7}[/tex]

Answer: 1 and 5/7

Step-by-step explanation: To write an improper fraction as a mixed number,

divide the denominator into the numerator.

So here, we have 7 divided into 12.

7 divides into 12 one time, 1 × 7 is 7, and 12 - 7 is 5.

So 7 divides into 12 one time with a remainder of 5.

So we have 1 whole and 5 out of 7 parts or 1 and 5/7.

So the improper fraction 12/7 can be written

as the mixed number 1 and 5/7.

Answer:

Set notation: { x ∈ ℝ | -25 < x < 30 }

Interval notation: (-25, 30)

Step-by-step explanation:

In set notation,

"x ∈ ℝ" means "x is an element of all real numbers"

you then write the restrictions after that, which would be "-25 < x < 30"

this gives you { x ∈ ℝ | -25 < x < 30 },

"x is an element of all real numbers, such that x is larger than -25 and less than 30"

In interval notation, it is written as (-25, 30). The parentheses mean that the interval does not include the numbers -25 or 30.

If the interval does include those numbers, i.e. if it was "-25 ≤ x ≤ 30" instead of "-25 < x < 30" you would use brackets instead of parentheses,

giving you {-25, 30}.

Answer:

The ratio is 3 : 14 .

Step-by-step explanation:

Given that there are 6 yellow, 10 orange and 12 pink roses.

So there are a total of 28 roses, 6+10+12 = 28.

The question wants the ratio of yellow roses to total roses so, the ratio is 6 : 28.

Next, you have to give in simplest form where you have to divide 2 which is 6/2 : 28/2 equals to 3 : 14.

Answer:

12?

Step-by-step explanation:

Answer:

12, 6 x 2 =12

Answer:

[tex]\frac{227}{1000}[/tex]

Step-by-step explanation:

A rational number has the form

[tex]\frac{a}{b}[/tex] where a and b are integers

Given

0.227 ← with the 7 in the thousandths place value position, then

= [tex]\frac{227}{1000}[/tex]

Answer:

[see below]

Step-by-step explanation:

Volume of a triangular prism is: [tex]V=\frac{1}{2}bhl[/tex]

We are given the base of 5, the length of 12, and the height of 8. All measurements are in meters.

[tex]V=\frac{1}{2}(5*12*8)\\\\V=\frac{1}{2}(480)\\\\V=240[/tex]

The volume of the prism should be 240 square meters.

Answer:

V = 240 m^3

Step-by-step explanation:

The volume of a triangular prism is

V = Bh  where B is the area of the base and h is the height

B = the area of the triangular base

B = 1/2 bh

B = 1/2 *5*12

B = 30 m^2

The volume is

V = 30 * 8

V = 240 m^3