Write a sentence that describes the distribution of the data shown on the dot plot.
OFFERING 50 points HELP PLEASE
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The main answer to the question is that the distance away from the billboard is approximately 69.5 feet.

To arrive at this answer, we need to use trigonometry. We can set up two right triangles, one for the bottom of the billboard and one for the top. In both triangles, the height of the billboard is the same (30 ft), and the angles of elevation are given (15 and 40 degrees). We can use the tangent function to find the length of the adjacent side (the distance from the billboard), and then use the Pythagorean theorem to find the hypotenuse (the total distance away).

For the bottom of the billboard, we have:

tan(15) = 30/x

x = 30/tan(15)

x ≈ 114.1 ft

For the top of the billboard, we have:

tan(40) = 30/x

x = 30/tan(40)

x ≈ 36.1 ft

To find the total distance away, we can subtract the two distances:

distance away = x - 30 cot(15) - 30 cot(40)

distance away ≈ 69.5 ft

Therefore, we can conclude that the distance away from the billboard is approximately 69.5 feet.

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If an equation is expressed in vertex form, then the vertex can be found by simply reading off the values of the constants h and k. Specifically, the vertex is located at the point (h, k).

To find the axis of symmetry, you can use the equation of symmetry, which is x = h. This represents a vertical line that passes through the vertex and divides the parabola into two symmetric halves.

Answer:

Step-by-step explanation:

The formula is

y=a(x-h)+k

(h,k) is your vertex

h is inside with x, key is to take opposite sign

k is outside so take as is

EX 1.

y=2(x-4)+3

vertex (4, 3)

EX 2.

y=3(x+8)-2

vertex(-8,-2)

For, axis of symmetry, that's where you can fold it in half that happens at your vertex but to describe the line of axis of symmetry that comes from your x value in your vertex

so for

EX1.

x=4   is your axis of symmetry , just take your x value of vertex

EX2

x= -8 for axis of symmetry

The percentage of students that like country are in grades 9-10 will be 61%. The Option D.

In order to get percentage of students that like country and are also in grades 9-10, we must look at the intersection of the "Country" row and the "Grades 9-10" column which has a frequency of 55.

After that, we will divide the frequency by the total number of students that like country which is (90).

The percentage of students that like country are in grades 9-10 will be:

= (55/90) x 100

= 0.61111111111 * 100

= 61%

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Answer:

Step-by-step explanation:

4.2

12/(x+5) = 15

We can start by cross-multiplying:

12 = 15(x+5)

Then, we can distribute the 15:

12 = 15x + 75

Next, we can subtract 75 from both sides:

-63 = 15x

Finally, we can divide both sides by 15:

x = -63/15

Therefore, x = -4.2.

Answer:

It is not possible to determine Janet's gross income with the given information. The contribution to the unemployment insurance fund only provides information about a portion of her earnings.

Answer:

1: Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

2: im not suree

Step-by-step explanation:

Draw the conclusion that there is insufficient evidence to support a relationship between gender and World Series viewing based on the findings of the chi-square test.

Use a chi-square test of independence to evaluate whether gender and World Series viewership are independent variables.

Let's begin by calculating the predicted frequencies for each cell based on the supposition that gender and World Series viewing are unrelated. The formula is as follows:

Expected frequency = (row total  x column total) / grand total

Expected frequencies table:

Male | 60.5 60.5 121

Female | 39.5 39.5 79

Total | 100 100 200

Next, we can calculate the chi-square test statistic using the formula:

χ² = Σ (observed frequency - expected frequency)2 / expected frequency

where the sum is taken over all cells in the table.

Calculating the chi-square test statistic:

χ² = ((57 - 60.5)2 / 60.5) + ((64 - 60.5)2 / 60.5) + ((43 - 39.5)2 / 39.5) + ((36 - 39.5)2 / 39.5)

= 0.36 + 0.36 + 0.36 + 0.36

= 1.44

Finally, we need to compare the calculated chi-square value with the critical value from the chi-square distribution with (rows - 1) x (columns -

1) degrees of freedom at a chosen level of significance. For a 2x2 contingency table, the degrees of freedom are (2-1) x (2-1) = 1.

The critical value is 3.84 at a 5% level of significance and one degree of freedom. We fail to reject the null hypothesis that gender and viewing the World Series are independent since our calculated chi-square value of 1.44 is lower than the crucial value of 3.84.

Therefore, We can draw the conclusion that there is insufficient evidence to support a relationship between gender and World Series viewing based on the findings of the chi-square test.

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The value of the digit 4 in 46,278 is 4000/400 = 10 times the value of the digit 4 in 24,350.

To calculate the value of a digit in a number, you need to determine its place value. In 46,278, the digit 4 is in the thousands place, which means its value is 4 x 1000 = 4000. In 24,350, the digit 4 is in the hundreds place, which means its value is 4 x 100 = 400.

To find how many times the value of the digit 4 in 24,350 is contained in the value of the digit 4 in 46,278, we simply divide 4000 by 400, which gives us 10. Therefore, the value of the digit 4 in 46,278 is 10 times the value of the digit 4 in 24,350.

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Answer:

D

Step-by-step explanation:

The answer is D

To find this answer you find the need to find the equation of the lines. The equation of the first line is [tex]-\frac{5}{2} + 40[/tex] . I found this because I looked at the rise/run or how much the graph is moving up or down. In this graph, it is moving down by 1. But the graph is incremented by 5 so the rise is 5. Next, the graph is moving left by 2 so the slope is -5/2. The y-intercept is 40 because it is the place where the line hits the y-axis.

The next equation for the line is repeating the same steps and you get [tex]-\frac{5}{3}+15[/tex].  

The next part would be the solution of the lines. The solution is where the two lines intersect. The lines intersect at (6, 25). Only answer D has all these parts correct.

Answer:

Darcy can choose 1 pair of earrings out of 16, 1 bracelet out of 11, and 1 ring out of 9. The number of possible combinations is the product of these choices:

16 * 11 * 9 = 1,584

Therefore, Darcy could buy 1,584 different combinations of 1 pair of earrings, 1 bracelet, and 1 ring.

The value of the x in the given octagon is 26.

Given is regular polygon with 8 sides, we need to find the measure of the x,

Since, the polygon is 8-sided therefore, it is an octagon,

The sum of the interior angles of a polygon =

= (number of sides - 2) × 180°

= (8-2) × 180°

= 6 × 180°

= 1080°

Therefore, one angle = 1080° / 8 = 135°

Therefore,

135° = 6x-21

135°+21 = 6x

6x = 156

x = 26

Hence, the value of the x in the given octagon is 26.

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Answer: i think its 242

Answer:

x+16=y

Step-by-step explanation:

[tex]x=y-16\\x+16=y[/tex]

The congruency theorem that would match the triangles shown is AAS. Option B

The Angle-Angle-Side (AAS) congruence theorem states that two angles and one side of one triangle must match two angles and one side of another triangle in order for two triangles to be considered congruent.

To put it another way, two triangles are said to be congruent if their included sides (the sides between the two angles) and their two neighboring angles are both identical.

Thus looking at the triangles we can see that two angles and one side are the same for the both triangles.

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(c) 336, After being struck with a hammer, a gong vibrates 48 vibrations in the first second.

In each second thereafter, it makes 6/7 as many vibrations as in the previous second. To find the total number of vibrations the gong makes before it stops vibrating, you can use the formula for the sum of an infinite geometric series:

Sum = a / (1 - r), where 'a' is the first term and 'r' is the common ratio.

In this case, a = 48 (vibrations in the first second) and r = 6/7 (the fraction of vibrations in each subsequent second).

Sum = 48 / (1 - (6/7))
Sum = 48 / (1/7)
Sum = 48 * 7
Sum = 336

So, the gong makes 336 vibrations before it stops vibrating. The correct answer is (c) 336.

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Answer: P = 1800 + 60n

$3240

Step-by-step explanation:

her pay (P) would start at 1800, and she would gain 60 dollars for every copy (N) she sells.

Paul will earn $1,500 after 30 days of work.

A work wages means the fixed regular payment earned for work or services which is typically paid on a daily or weekly basis.

To find out how much Paul will earn after 30 days, we wlll multiply his daily earnings by the number of days he works which gives us:

= $50/day x 30 days

= $1500.

Full question "Let assume Paul earns $50 every days. At that rate, how much will Paul earn after 30 days?".

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Answer:

See explanation

Step-by-step explanation:

Combine terms into a single fraction

-1/2 (-3x/2 + 6x + 1) - 3x

Find common denominator

-1/2 (-3x/2 + 2⋅6x / 2 + 2/2) - 3x

Multiply the numbers

-1/2 (-3x/2 + 12x / 2 + 2/2) - 3x

Combine like terms

-1/2 (9x + 2/2) - 3x

Distribute

-9x-2 / 2 ⋅ 2 - 3x

Multiply

-9x-2 / 4 - 3x

Solution

-21x-2 / 4

Answer:

The formula for the area of a regular heptagon is:

A = (7/2) * s * a

where:

s = length of one side

a = length of the apothem

Plugging in the given values, we get:

A = (7/2) * 7.0 cm * 7.3 cm

A ≈ 178.715 cm²

Therefore, the area of the given heptagon is approximately 178.715 cm².

The percent decrease in population over the course of six years is -414%.

When the mortality rate surpasses the fertility rate, population size will diminish with time. This is because a greater number of rabbits dies than are born into the populace, resulting in an overall loss of individuals. With the newly supplied data, when the class of creatures reaches 600, the birth and death ratios will be transposed. Consequently, the fertility rate will outrival the mortality rate, leading to increased population figures.

It should be noted that to figure out the percentage fall in people size, we must measure the final population amount against the initial size. Taking an inaugural quantity of 100 bunnies as a base, it can be deduced that the mass will grow as follows:

Year 1: 200 rabbits (100 multiplied by 2)

Year 2: 400 rabbits (200 multiplied by 2)

Year 3: 600 rabbits (400 multiplied by 1.5)

Year 4: 570 rabbits (600 multiplied by 0.95)

Year 5: 541 rabbits (570 multiplied by 0.95)

Year 6: 514 rabbits (541 multiplied by 0.95)

Subsequently, the percent decrease in population over the course of six years is (100 minus 514) divided by 100 multiplied by 100% equals -414%.

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The depth of water in tank A is modeled by a differentiable and increasing function h.

This means that the function h describes how the depth of water changes as time passes.

The fact that it is differentiable means that the function has a well-defined slope at every point, which indicates how quickly the depth is changing. This means that the function is continuous and smooth, with no sharp turns or corners.
Furthermore, the fact that the function is increasing means that the depth is always getting higher over time.

This makes sense since water is constantly being added to the tank.

Hence, the depth of water in tank A is described by a differentiable and increasing function h, which means that the function has a well-defined slope at every point and that the depth is always getting higher over time.

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Answer:

b = 5, a = 10.

Step-by-step explanation:

sin 60 = 5√3 / a

√3/2 =  5√3 / a

a =   5√3 / √3/2

  =   5√3 * 2/ √3

  =  10

By pythagoras:

10^2 =   (5√3)^ 2 + b^2

100 = 75 + b^2

b^2 = 25

b = 5

Answer:

Step-by-step explanation:

We are given with a triangle whose Height is 2 cm and base is 9 cm.

We have to calculate the Area of triangle.

As we know that area of triangle is calculated by,

Area = ½ × base × height

Putting the required values we get,

Area = 1/2 × 2 × 9 (cancel 2 with 2)

Area = 9 cm².

Hence, The area of the triangle is 9 cm².

Answer: 5/12

Step-by-step explanation:

2/3 - 1/4

Find equivalent fractions that have the same denominator.

2/3 is the same as 8/12

1/4 is the same as 3/12

8/12 - 3/12 = 5/12

5/12

Area of the triangle is 6cm²

Area of the square = 4cm²

Area of the rectangle = 35cm²

Probability of landing in triangle = 13. 3%

Probability of landing in square = 8. 8%

Probability of landing in triangle or square = 22. 2%

Probability of not landing in triangle  = 86. 6%

The formula for calculating the area of a rectangle is expressed with the equation;

Area = lw

Such that;

Area of a triangle = 1/2 × base × height

Substitute the values

Area = 1/2 × 3 × 4

Multiply the values

Area = 6cm²

The area of the square = a²

Area = 2²

Find the square

Area = 4cm²

The area of the rectangle = 7(5)

Multiply the values

Area = 35cm²

Probability of landing in triangle = 6/45 = 0. 13× 100 = 13. 3%

Probability of landing in square = 4/45 = 8. 8%

Probability of landing in triangle or square = 13.3 + 8. 8 = 22. 2%

Probability of not landing in triangle = 39/45 = 86. 6%

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(b) and (c) are correct

value of sin 55 = cos 55

sin 72 = cos 18

Answer:

C

Step-by-step explanation:

If 2 angles are 60, that means the 3rd angle is also 60 because all of the angles of triangle need to add up to 180

The given angles add up to 120 so we subtract 120 from 180, giving us 60

Since all 3 angles are equivalent, the answer is C

Answer: C.

Step-by-step explanation:

60+60=120. Therefore, since a triangle's have to sum to 180 degrees, the last angle is 180-120=60. Since all angles are equal it is an equiangular triangle.

The value of the test statistic is t = -2.15.

To test whether the manufacturer's claim of 31.3 mpg is accurate, we can use a one-sample t-test. The null hypothesis is that the true mean mpg of the van is equal to the manufacturer's claim of 31.3 mpg, while the alternative hypothesis is that the true mean mpg is different from 31.3 mpg.

The test statistic for a one-sample t-test is calculated as

t = (x - μ) / (s / √(n))

where x is the sample mean, μ is the hypothesized population mean (31.3 mpg), s is the known standard deviation, and n is the sample size.

Plugging in the values given in the problem, we get:

t = (31.1 - 31.3) / (1.3 / √(140))

t = -0.2 / (1.1 / 11.83)

t = -0.2 × 10.75

t = -2.15

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