How do I tell if these are natural numbers, whole numbers, integers, or rational numbers? ( Photo for reference)

Answer:

x = 1.386

Step-by-step explanation:

4e^x= 16

e^x=4

ln(e^x)=ln4

x=ln4=1.386

Answer:

13.9% marginal

Step-by-step explanation:

The percentage of tickets sold to Seniors can be found as:

[tex]p(s)=\frac{S}{N}\cdot 100[/tex]

where

S is the number of all tickets sold to seniors

N is the total number of tickets sold

By looking at the table, we see that:

S = 32 + 14 + 54 = 100 is the number of tickets sold to seniors

N = 35 + 87 + 62 + 56 + 177 + 205 + 32 + 14 + 54 = 722 is the total number of tickets sold

Therefore, the percentage is:

[tex]p(s)=\frac{100}{722}\cdot 100 =13.9\%[/tex]

The three different types of frequencies are defined as:

- Joint: the frequency of a single category calculated with respect to the total number --> this is not the case

- Marginal: the frequency of an entire row/column over the total --> this is the case

- Conditional: the frequency of a single category over a subset of the total --> this is not the case

So, the correct answer is

13.9% marginal

The cyclist rode a total of 172 miles in 9 hours, covering 92 miles at 23 mph for 4 hours and 80 miles at 16 mph for 5 hours.

To find out how far the cyclist rode in 9 hours, we need to calculate the distance covered at each speed and then add those distances together. The cyclist rode at a constant speed of 23 mph for 4 hours and then at a speed of 16 mph for 5 hours.

First, we calculate the distance at 23 mph:

Distance = Speed × Time
Distance at 23 mph = 23 mph × 4 hours = 92 miles

Next, we calculate the distance at 16 mph:

Distance at 16 mph = 16 mph × 5 hours = 80 miles

Now, we add the distances together to get the total distance:

Total Distance = Distance at 23 mph + Distance at 16 mph
Total Distance = 92 miles + 80 miles = 172 miles

Therefore, the cyclist rode a total of 172 miles in 9 hours.

Answer:

        median

Step-by-step explanation:

Answer:

C is the median

Step-by-step explanation:

The center line in the box is the median of the data.  The median is the middle point of the data set.

Answer:

x + 97 = 180

Step-by-step explanation:

Being that vertical line is straight, that 97 degrees and x must add up to equal 180 degrees. Therefore, x + 97 = 180 would help you solve for x.

The equivalent expression is: (C) [tex]$\frac{1}{3^9 \cdot 6^{18}}$[/tex].

To simplify the given expression, we can apply the rules of exponents.

First, we raise 3 to the power of 3 and 6 to the power of 6, individually:

3^3 = 27 and 6^6 = 46656.

Next, we multiply these two values together:

27 * 46656 = 1259712.

Now, we raise the result to the power of -3:

1259712^(-3).

To simplify this expression, we can rewrite it as the reciprocal of the base raised to the positive exponent:

(1 / 1259712^3).

This can be further simplified by raising the base to the power of 3:

(1 / (1259712 * 1259712 * 1259712)).

Finally, we can simplify the expression by multiplying the denominators:

1 / (1954890816015872).

Answer:

$3520

Step-by-step explanation:

Conversion

To convert feet to yards, we divide the measurement of feet by 3 hence for dimenaion given as 48 ft, it will be 48÷3=16 yards

The area will be given by the product of length and width and since both measurements are given

A=lw

A=16*20=320 yd²

Cost will be 320*11=$3520

Therefore, the department will have to pay $3520 for the work to be completed

The mean of a dataset is the sum of the elements divided by how many elements are present in the data set.

The sum of the elements in this dataset is

[tex]93+95+102+91+104+93+95+98+97+92+102+96+92+104+100+98=1552[/tex]

And there are 16 elements, so the mean is

[tex]\mu = \dfrac{1552}{16}=97[/tex]

The absolute deviation is computed as follows:

So, following the first point, the new dataset is

[tex]\{4, 2, 5, 6, 7, 4, 2, 1, 0, 5, 5, 1, 5, 7, 3, 1\}[/tex]

And the average of this dataset is

[tex]\dfrac{4+2+5+6+7+4+2+1+0+5+5+1+5+7+3+1}{16} = \dfrac{58}{16}=3.625[/tex]

Answer: The correct options are options 1 and 4.

The quadrilaterals cannot be placed such that each occupies one quarter of the circle because the vertices of parallelogram 1 do not form right angles.

The quadrilaterals cannot be placed such that each occupies one quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Step-by-step explanation: When you have the dimensions of a quadrilateral given along with the diagonal (which is also the hypotenuse) you basically have the quadrilateral divided into two triangles. You can determine if the triangles are going to be right angled or not simply by using the Pythagoras theorem as a test.

Note also that if the angles are right angled, then the quadrilaterals can all be conveniently placed, one in each quarter of the circle without overlapping. This is possible because each quarter of a circle measures 90 degrees.

To test if the angles formed are right angled we shall take the following steps;

Pythagoras theorem states that; AC² = AB² + BC²

Where AC is the longest side (hypotenuse), and AB and BC are the other two sides.

(Quad 1) ------> 20² = 12² + 15²

400 = 144 + 225

400 ≠ 369

Both sides pf the equation are not equal, hence the vertices of parallelogram 1 do not form a right angle.

(Quad 2)------> 34² = 16² + 30²

1156 = 256 + 900

1156 = 1156

Both sides of the equation are equal, hence the vertices of parallelogram 2 forms a right  angle

(Quad 3)------> 29² = 20² + 21²

841 = 400 + 441

841 = 841

Both sides of the equation are equal, hence the vertices of parallelogram 3 forms a right angle

(Quad 4)------> 26² = 18² + 20²

676 = 324 + 400

676 ≠ 724

Both sides sides of the equation are not equal, hence the vertices of parallelogram 4 do not form a right angle.

From the results shown above, if the four parallelograms are placed in each of the four corners of the circle, they would definitely overlap because two of them do not form right angles at their vertices.

Answer:

B & E

Step-by-step explanation:

The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.

The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Answer:

x=63.256%   63.3-rounded to the nearest tenth.

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

The measure of the secant- secant angle is one half the difference of the measures of the intercepted arcs, that is

x = [tex]\frac{1}{2}[/tex] (130 - 30) = 0.5 × 100 = 50

Answer:

181 is the thing is what it says it is just find the volum

Step-by-step explanation:

Answer:

13 and 14 inches

Step-by-step explanation:

Answer:

Line B

Step-by-step explanation:

I got it right

Line B has a steeper slope than line A because its slope is greater than the slope of line A.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

For line A, the two points are (-3, 0) and (0, 4).

Plugging these values into the formula, we get:

slope = (4 - 0) / (0 - (-3)) = 4 / 3

For line B, the two points are (0, -4) and (2, 0).

Plugging these values into the formula, we get:

slope = (0 - (-4)) / (2 - 0) = 4 / 2 = 2

Therefore, line B has a steeper slope than line A, because its slope is greater than the slope of line A. Line A has a slope of 4/3, while line B has a slope of 2.

We can also visualize this by drawing the lines on a coordinate plane. Line B will have a more steeply inclined slope than line A, as it will rise more quickly as it moves from left to right.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ3

Answer:

the mean absolute deviation would be 1.5.

Step-by-step explanation:

Mean: 3 + 7 + 4 + 2 = 16/4 = 4

4 - 3 = 1

4 - 7 = 3

4 - 4 = 0

4 - 2 = 2

(M.A.D) Mean Absolute Deviation: 1 + 3 + 0 + 2 = 6/4 = 1.5

Answer:

  The answer is D) (-6,-8) because in order to have a coordinate in the III quadrant you need two negatives.

Step-by-step explanation:

Answer:

The correct answer is D) (-6,-8)

Step-by-step explanation:

All points in the third quadrant have two negative numbers.

Answer:

It shows the way migrant children dressed.

It shows how migrant children had to work.

It shows feelings of sadness from unfair treatment.

Step-by-step explanation:

those 3 are correct

Answer:

It shows the way migrant children dressed.

It shows how migrant children had to work.

It shows feelings of sadness from unfair treatment.

Step-by-step explanation:

Just took test

Answer:

B) Angle 4 is congruent to angle 8

Step-by-step explanation:

Answer:

1 1/6

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

2/3 + 1/2 = (2*2)/(3*2)+ (1*3)/(2*3)=4/6+3/6=(4+3)/6=7/6

Or the mixed numer: 7/6 =1 1/6

Answer:

393 bacteria

Step-by-step explanation:

First find how much it would increase per hours :

1900 / 29 = 65.5172414

Then take this and multiply it by 6 to get :

393.103448

Round it to the nearest whole number to get:

393 bacteria

Answer:2193

Step-by-step explanation:

y= 1900(2)^6/29

On Tuesday, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks.

On Tuesday, the team of street sweepers cleaned [tex]\( \frac{1}{4} \)[/tex] as many blocks as they did on Monday.

Given that they cleaned [tex]\( 2\frac{1}{2} \)[/tex] city blocks on Monday, we need to find [tex]\( \frac{1}{4} \)[/tex] of this amount to determine how many blocks they cleaned on Tuesday.

To find [tex]\( \frac{1}{4} \)[/tex] of [tex]\( 2\frac{1}{2} \),[/tex] we multiply [tex]\( 2\frac{1}{2} \)[/tex] by [tex]\( \frac{1}{4} \)[/tex]:

[tex]\[ 2\frac{1}{2} \times \frac{1}{4} = \frac{5}{2} \times \frac{1}{4} = \frac{5}{8} \][/tex]

So, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks on Tuesday.

Answer:

c

Step-by-step explanation:

Answer:

w = x + 50

Step-by-step explanation:

The dog is 50 pounds. The person's weight is x. You are trying to find the total weight of the dog and person. Therefore, you need to combine the two values to get the total, making the equation w = x + 50, or x + 50 = w

Answer:

6

Step-by-step explanation:

3+x+x=15

3+2x=15

2x=15-3

2x=12

x=12/2

x=6

Answer:

x=6

Step-by-step explanation:

x=6 because if you simplify this equation you get 3 + 2x = 15. The first step to solving a equation is having the x value on one side of the equation and the number value on one side. to do this we can subtract 3 from both sides of the equation and get the equation 2x=12. which would mean x=6.

Answer:

23% of student will have red hair given that the student has green eyes.

Step-by-step explanation:

We are given the following in the question:

Percentage of students that have green eyes = 65%

[tex]P(G) =0.65[/tex]

Percentage of students that have red hairs = 25%

[tex]P(R) =0.25[/tex]

Percentage of students that have green eyes and red hairs = 15%

[tex]P(G\cap R) =0.15[/tex]

We have to find the conditional probability of randomly selected  student that will have red hair given that the student has green eyes.

[tex]P(R|G) = \dfrac{P(R\cap G)}{P(G)}[/tex]

Putting values, we get,

[tex]P(R|G)=\dfrac{0.15}{0.65} = 0.2307\approx 23\%[/tex]

Thus, 23% of student will have red hair given that the student has green eyes.

Answer:

Arc Length: [tex]S=r\theta[/tex]

[tex]S=3\frac{7\pi}{3}\\S=7\pi in[/tex]

Answer:

It's the first one

Answer:

Negative.

Step-by-step explanation:

To understand the question, you first must understand the slopes of different types of equations.

A linear equation: [tex]y = 2x[/tex] will travel from the third quadrant to the first.

If you plug in 2 for x, y will equal 4. Both values are positive, leading to a positive correlation.

A linear equation: [tex]y = -3x[/tex] will face the other direction, as shown in your attached image. When you plug in a positive number for x, like 5, y will equal -15, making the graph go up and left towards negative values.

Answer:

to the tenths place, 32.86

Step-by-step explanation: It is because money is always rounded to the tenths place

Answer: t = 29.5 inches

Step-by-step explanation:

Given that the ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°. 

We can Find the length of t by using sine rule

t/saint = u/sinU

t/sin158 = 23/sin17

t = sin158 × 23/sin17

t = 29.47 inches

t = 29.5 inches

Answer:

29.5

Step-by-step explanation:

The length of side "s" of the square is 3 units, as it is equal to one of the legs of the 45-45-90 right triangle formed by the diagonal of the square.

To find the length of side "s" of the square shown below, we can use trigonometry, specifically the properties of right triangles and the fact that the diagonal divides the square into two congruent 45-45-90 right triangles.

Given information:

The diagonal of the square measures 6 units.

One of the angles at the top of the square is 45 degrees.

Step 1: Recognize the properties of the 45-45-90 triangle:

Since the diagonal divides the square into two congruent right triangles, and one angle is 45 degrees, we have a 45-45-90 triangle. In such a triangle, the two legs (the sides opposite the 45-degree angles) are congruent, and the hypotenuse (the side opposite the 90-degree angle) is √2 times the length of a leg.

Step 2: Use trigonometric ratios:

Let "x" be the length of one leg of the 45-45-90 triangle, which is also equal to side "s" of the square.

From the properties of the 45-45-90 triangle:

x (leg) = s (side of the square)

Hypotenuse = √2 * leg

Given that the diagonal of the square is 6 units, we can relate the diagonal to the legs:

Diagonal = 2 * leg

6 = 2 * x

Now, solve for x (the length of one leg of the triangle and side "s" of the square):

x = 6 / 2 = 3 units

So, the length of side "s" of the square is 3 units.

Therefore, from the given options the correct one is B.

For more such information on: square

https://brainly.com/question/27307830

#SPJ2