In a density curve, proportion of data is represented by__
A. area above the curve. B. area under the curve.
C. the shape of the curve.
D. intervals of values on the vertical axis.
E. intervals of values on the horizontal axis.
F. the length of the curve.

1. It should be noted that HD = EM and HE = OM. In this case, the opposite sides are equal in the rectangle.

2. It should be noted that EHO = HOM = OME = MEH = 90°. In this case, all angles are equal to 90°.

Postulates are assertions that, in the absence of evidence, are taken to be true. Postulates have two functions: they define undefined terms and act as a foundation for the proof of subsequent propositions.

A line segment is determined by two points. A line segment may be extended along a line indefinitely. The other information is attached.

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Answer:

29/5

Step-by-step explanation:

hope this helps

The probability of the sample mean annual insurance cost being greater than $620 is very low, that is 0.00317% which indicating that it is unlikely to happen by chance.

Probability is a branch of mathematics that deals with the likelihood of an event happening. It is used in various fields, such as insurance, finance, and science.

To calculate the probability, we need to use the central limit theorem, which states that the distribution of sample means of a population approaches a normal distribution as the sample size increases. We also need to know the mean and standard deviation of the population.

Assuming that the population is normally distributed, we can use the following formula to calculate the probability:

z = (x - μ) / (σ / √(n))

where z is the z-score, x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, we don't know the population mean and standard deviation, but we can use the sample mean and standard deviation as estimates. Let's say we have a sample of 100 insurance costs with a mean of $600 and a standard deviation of $50.

Now, we can calculate the z-score:

z = (620 - 600) / (50 / √(100)) = 4

The z-score of 4 indicates that the sample mean of $620 is 4 standard deviations away from the mean of $600. We can use a standard normal distribution table or a calculator to find the probability of getting a z-score of 4 or higher. The probability is very small, approximately 0.0000317 or 0.00317%.

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The inequality that represents the more minutes needed to reach 80% of the battery is 3x + 40 ≤ 80. And the number of minutes will be 13.33 minutes.

Inequality is defined as an equation that does not contain an equal sign.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of minutes and 'y' be the total battery percentage. Then the equation is given as,

y = 3x + 40

The inequality that represents the more minutes are needed to reach 80 of battery is given as,

3x + 40 ≤ 80

Simplify the inequality, then we have

3x + 40 ≤ 80

3x ≤ 40

x ≤ 13.33 minutes

The inequality that represents the more minutes needed to reach 80% of the battery is 3x + 40 ≤ 80. And the number of minutes will be 13.33 minutes.

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Answer:

Complementary is 2 angles that add up to 90 degrees and supplementary is 2 angles that add up to 180 degrees

48+32=80 so that would be neither

101+77=178 so that would be neither

107+73=180 so that would be supplementary

Step-by-step explanation:

have a nice day.

Answer:

only here for points

Step-by-step explanation:

The correct equations are:8x^3 * (3x^2) = 24x^5, 6b^3 * (-2b^3) = -12b^6, 3a^3 * (-3a^4) = -9a^7. The equations are correct because they follow the rules of algebra. The equation 4x^3 * (6x^2) = 24x^5 is not correct.

The distributive property of multiplication over addition allows us to multiply a factor by each term inside a set of parentheses. In the equation 8x^3 * (3x^2), we can use the distributive property to multiply 8x^3 by each term inside the parentheses, giving us 24x^5.

Similarly, the product of two negative numbers is positive, which explains why the equation 6b^3 * (-2b^3) equals -12b^6.

Finally, multiplying two terms with the same base means we add the exponents, so in the equation 3a^3 * (-3a^4), we get -9a^7.

Therefore, these equations are correct and follow the rules of algebra.

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Answer:

2. $9.99

3. 45 tickets for $27

4. 20 cents

Step-by-step explanation:

2. 79.92/8 = 9.99

3. 27/45 0.6 and 15/20 = 0.75 and 60 cents is less than 75 cents

4. 6/30 = 20

Answer:

Step-by-step explanation:

79.92/8= 9.12 per cd

15/20= .75

27/45=.6 better deal because it is .60 cents per ticket

6/30= .20 per can

Answer: 49.5 dollars

Step-by-step explanation: the original price is 330, but the sale takes 15 percent off

so we turn 15% into a decimal so we can multiply 330 and 15%

we get 0.15 × 330 = 49.5

The transformations from the function f(x) to g(x) is horizontal shift: Right 4 Units and vertical shift: Up 1 Units.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

The given functions are f(x)=x³ and g(x)= -(x-4)³+1.

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: Right 4 Units

Vertical Shift: Up 1 Units

Reflection about the x-axis: None

Reflection about the y-axis: Reflected

Vertical Compression or Stretch: None

Therefore, the transformations from the function f(x) to g(x) is horizontal shift: Right 4 Units and vertical shift: Up 1 Units.

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Answer:

60 degrees

Step-by-step explanation:

The largest possible side length of the tiles that can be used is `12` inches as it can cover the entire bathroom without any gaps or cutting of tiles.

The largest tile that can be used is a square tile. To calculate the side length of the largest possible tile, divide the length and width of the bathroom by 4.

`48/4 = 12`

`60/4 = 15`

The largest possible side length of the tiles that can be used is `12` inches. Jayla's parents are replacing their bathroom floor with square tiles. The floor is a rectangle that is `48` inches by `60` inches. To cover the entire bathroom with no gaps, and without having to cut any of the tiles, they need to use a tile that is the same size as the largest possible tile that can cover the entire floor without any gaps.

To calculate the side length of the largest possible tile, divide the length and width of the bathroom by 4. This is because a tile needs to cover 4 sides of the floor without any gaps, so the side length of the tile needs to be equal to the length divided by 4, or the width divided by 4.

In this case, the side length of the largest possible tile is `12` inches. This is because `48/4 = 12`, and `60/4 = 15`. As `15` is larger than `12`, the side length of the largest possible tile is `12` inches. This means that the tiles need to be `12` inches by `12` inches in size to cover the entire bathroom without any gaps.

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The estimated probability  that Roger runs less than 5 km in his next tennis match is  33%.

The dot plot summarizes the distance Roger ran in his recent tennis matches. To estimate the probability that he will run less than 5 km in the next match, we can use the data from the dot plot.

So according to question, there are kilometres as :

3 km, 4 km, 5 km, 6 km, and 7 km.

Total matches he played

for 3 km- 1 match , for 4 km- 2 matches , for 5 km- 4 matches, for 6 km- 0 matches, and for 7 km- 2 matches.

Out of 9 matches, he ran less than 5 km in 3 matches.

So the probability that Roger runs less than 5 km in his next tennis match is: 3/9  = 1/3

So the percentage will be : 33.33%   ≈ 33%

Therefore, the estimated probabilityrobability that Roger runs less than 5 km in his next tennis match is 1/3 or about 33%.

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Answer: 33%

Step-by-step explanation:

The number of children and adults that swam at the public pool are 247 and 208 respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Represent the number of children by x and the number of adult by y

this means;

x+y = 455 equation 1

1.75x + 2.5y = 952.25 equation 2

using substitution method,

x = 455-y

substitute 455-y for x in equation 2

1.75(455-y) + 2.5y = 952.25

796.25-1.75y+2.5y = 952.25

0.75y = 952.25-796.25

0.75y = 156

divide both sides by 0.75

y = 156/0.75

y = 208

substitute 208 for y in equation 1

x = 455-208

x = 247

therefore the number of children and adults in the pool are 247 and 208 respectively.

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The maximum and minimum values are 34.5 and 2

from the question, we have the following parameters that can be used in our computation:

P = 2x + 7y

Subject to:

4x - 2y <= 5

x >= 1

0 <= y <= 4

Next, we plot the constraints on a graph

From the graph, we have the following vertices

(1, 0), (4, 0) and (3.25, 4)

This gives

P = 2(1) + 7(0) = 2

P = 2(4) + 7(0) = 8

P = 2(3.25) + 7(4) = 34.5

Hence, the minimum is 2 and the maximum is 34.5

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Answer:

The minimum value is 2.5.

Step-by-step explanation:

This is a sine wave that is parallel to the x axis.  It will never go below 2.5, as shown on the graph.

Answer:

x + y = -9

Step-by-step explanation:

let x = -8, y = -1

the equation that passes through the point (-8,-1) is x + y = -9

Answer: 38.8°

Step-by-step explanation:

See the attached diagram:

From it we can tell that the tunnel forms a right triangle, with the length of a leg and the hypotenuse given. We can use the sine function to easily answer this, (letting θ be the angle we need to find)

sinθ = 52/83

.: θ = arcsin(52/83)

(Note: arcsin is the inverse of the sine function)

.: θ ≅ 38.8°

Answer:

hope this helps

Step-by-step explanation:

The proof for the congruence of triangles GHI and GFJ are given below.

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

From the figure,

1) Line segment FJ ⊥ line segment FH (given)

2) ∠HGI = ∠FGJ (It is also given)

3) HI = FJ (Given). So HI ≅ FJ

4) HI ⊥ FH (given)

5) Since both the angles F and H are right angles,

∠F ≅ ∠H (since all right angles are congruent)

6) So we get that two angles and a non included side of ΔGHI are equal to the corresponding two angles and a non included side of ΔGFJ.

So by AAS congruence theorem, ΔGHI ≅ ΔGFJ.

Hence the given two triangles are congruent.

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Answer: B. 0.058 hectometers

Step-by-step explanation: To convert millimeters to hectometers, you need to divide the number of millimeters by 10,000.

Given that there are 580 millimeters, the conversion to hectometers can be calculated as follows:

580 millimeters ÷ 10,000 = 0.058 hectometers

Anwer: EG=EF+EG => 6x+12+48=144

6x=144-12-48

6x=84

x=14

d)x=14

Answer:

13

Step-by-step explanation:

Step-by-step explanation:

an inscribed angle has its vertex on the circle, and the sides of the angle are two chords of the circle.

the inscribed angle is half the size of the arc angle (the angle at the center of the circle) of the arc that the two sides cut out of the circle.

110° is the arc angle (at the center of the circle) of the arc GJ.

for the inscribed angle GFJ the vertex is F, and the angle there is half of the arc angle :

angle GFJ = 110/2 = 55°

the second problem is the opposite "direction".

we have the inscribed angle FJH = 36°.

and we want the arc angle FH.

now, since the inscribed angle is half of the arc angle, the arc angle is twice the inscribed angle :

arc angle FH = 36×2 = 72°

Answer:

So the simplified expression is:

2x - 4 / (x^2 + 9x + 20)

Step-by-step explanation:

To simplify the expression, we need to simplify the numerator and denominator separately, and then simplify the entire expression.

Starting with the numerator:

4x^2 + 12x - 16

For the denominator:

The first fraction: 2x + 10 can be simplified as follows: 2x + 10 = (2)(x) + (2)(5) = 2x + 10

The second fraction: 6x + 24 over x^2 + 9x + 20

We can simplify the denominator by using partial fraction decomposition. To do that, we need to write the denominator as a sum of simpler fractions, each with a numerator that is a constant. In other words, we write:

6x + 24 / (x^2 + 9x + 20) = (A x + B) / (x^2 + 9x + 20) + (C x + D) / (x^2 + 9x + 20)

Multiplying both sides by the denominator, we get:

6x + 24 = (A x + B)(x^2 + 9x + 20) + (C x + D)(x^2 + 9x + 20)

Expanding the right-hand side, we obtain:

6x + 24 = Ax^3 + (A 9 + B) x^2 + (A 20 + B 9 + C) x + (B 20 + D)

Comparing the coefficients of the polynomials on both sides, we get the following system of linear equations:

A = 0

B = 6

C = 0

D = -24

Therefore, the partial fraction decomposition of the denominator is:

6x + 24 / (x^2 + 9x + 20) = (6x + 24) / (x^2 + 9x + 20)

Putting it all together, we have:

4x^2 + 12x - 16 / (2x + 10) / (6x + 24) / (x^2 + 9x + 20) = (4x^2 + 12x - 16) / (2x)(6x + 24) / (x^2 + 9x + 20) = 2x - 4 / (x^2 + 9x + 20)

So the simplified expression is:

2x - 4 / (x^2 + 9x + 20)

The whole number whose sum is 72 cannot be in the ratio C. 3/4.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them

The whole number must   be divided by sum of two ratio particularly

A.5 + 7=12

72 can be divided by 12

B.3+5=8

72 can be divided by 8

C.4+3=7

72 can not be divided by 7

D.4+5=9

72 can be divided by 9

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The whole number whose sum is 72 cannot be in the ratio

A. 5/7

B. 3/5

C. 3/4

D. 4/5

Answer:

c

Step-by-step explanation:

The mean of a sample is the average of all values in the sample. The mean of a sample is generally always smaller than the mean of the population from which the sample was taken, since the sample is only a small subset of the population.

The mean of a sample can never be zero or negative, since it is an average of all the values in the sample. The mean of a sample can also never be greater than the mean of the population. None of these alternatives is correct.

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Answer:

the number of shirts sold

Step-by-step explanation:

that's what the question is asking