jimmy and amanda are on an archery team . jimmy hits 3 bullseyes in every 20 shots . amanda hits a bull-eye 0n 18 percent of her shots how hit more bull's-eyes more often explain

Answer:

[tex] \frac{23}{10} [/tex]

He would have to pay a total of $30 + $10 xx.

What is the basic arithmetic operation?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

If David used 4 GB over the limit, he used a total of 6 + 4 = 10 GB of data that month. Since he was charged $10 per GB over the included amount, he would have to pay an extra $10 x 4 = $40 in addition to the base $30 cost.

Therefore, he would have to pay a total of $30 + $40 = $70 that month.

If David went over the limit by xx GB, he would have used a total of 6 + xx GB of data that month.

Therefore, he would have to pay an extra $10 x xx in addition to the base $30 cost.

Hence, he would have to pay a total of $30 + $10 xx.

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Answer:

Below

Step-by-step explanation:

Look for the letter that is between 1 and 2 ...very close to 2

=  1.85    <===== very close to '2'

A rational number is one that has a non-zero denominator and can be written as a fraction of two integers.

A rational number is one that has a non-zero denominator and can be written as the ratio of two integers. This indicates that a rational number must have an integer denominator and numerator, and that the denominator cannot be 0.

Rational numbers can be positive or negative, and they include all integers, fractions, and terminating or repeating decimals. A and b can be stated as a/b when both of them are integers and b is not equal to 0. It is essential to understand rational numbers in mathematics, and fields like computer science, physics, and engineering frequently use it in their daily work. as well as computer science.

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Answer:

-1/10

Step-by-step explanation:

     [tex]\sf (-3 , \frac{-7}{2}) \ ; \ x_1 = -3 ; \ ; y_1=\frac{-7}{2}[/tex]

     [tex]\sf (2 , -4) ; \ x_2 = 2 \ ; \ y_2 = -4[/tex]

             [tex]\sf \boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                       [tex]= \dfrac{-4-[-\frac{7}{2}]}{2-[-3]}\\\\\\= \dfrac{-4+ \frac{7}{2}}{2+3}\\\\[/tex]

                        [tex]\sf = \dfrac{ \frac{-4*2}{1*2}+ \frac{7}{2}}{5}\\\\\\= \dfrac{ \frac{-8+7}{2}}{5}\\\\\\= \dfrac{ \dfrac{-1}{2}}{5}\\\\= \dfrac{-1}{2*5}\\\\\\= \dfrac{-1}{10}[/tex]

Answer:

6,16

Step-by-step explanation:

Answer:

f(x) = (x + 3)(x - 4) / (x + 3)

Step-by-step explanation:

In order for a rational function to have a hole at x = 4 and a vertical asymptote at x = -3, the denominator must be equal to zero at x = 4 and the numerator must be equal to zero at x = -3. This can be accomplished with the following expression:

f(x) = (x + 3)(x - 4) / (x + 3)

A option (c) marginal distribution summarizes the information from one variable ONLY, without considering ANY information from another variable.

A distribution is a mathematical function that shows the likelihood of different values occurring for a given variable.

Now, a marginal distribution summarizes the information from one variable ONLY, without considering ANY information from another variable. It shows the probability of each value occurring for that variable.

In mathematical terms, we can represent a marginal distribution as follows:

P(X = x) = ∑P(X = x, Y = y) for all possible values of y

Here, X is the variable we're interested in, and Y is the other variable that we're not considering. P(X = x) is the probability of X taking on the value x, and P(X = x, Y = y) is the joint probability of X taking on the value x and Y taking on the value y. The summation is taken over all possible values of y.

Therefore, option (c) is correct.

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Answer: The estimated probability of generating a 3 using the random number generator is 1/3, since there are 3 possible outcomes and each is equally likely.

The actual probability of generating a 3 is also 1/3, since the generator is equally likely to generate any of the 3 possible integers.

Therefore, the difference between the estimated and actual probability of generating a 3 is:

1/3 - 1/3 = 0

So there is no difference between the estimated and actual probability of generating a 3.

Step-by-step explanation:

Center C and  [tex]~\overset{\LARGE{\frown}}{AD}[/tex] marked on circle C with ∠AVD being an inscribed angle, the option 3) m ∠AVD = 1/2 [tex]m~\overset{\LARGE{\frown}}{AD}[/tex] is true

It is given that C is a center of circle and  ∠AVD is inscribed angle.

An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. This common end point is the vertex of the angle. The measure of an inscribed angle is half the measure of the intercepted arc.

Inscribed Angle = 1/2 of Intercepted Arc

Therefore m ∠AVD = 1/2 [tex]m~\overset{\LARGE{\frown}}{AD}[/tex]

So, the option 3) m ∠AVD = 1/2 [tex]m~\overset{\LARGE{\frown}}{AD}[/tex] is true when center C and  [tex]~\overset{\LARGE{\frown}}{AD}[/tex] marked on circle C with ∠AVD being an inscribed angle

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The complete question is in the image below

Answer:

Hi! This question tells us that the book costs $18 and that it costs 3 times more than a DVD. In order to determine the cost of the DVD, all we have to do is divide 18 by 3. 18 divided by 3 is 6. Therefore, the DVD costs $6.

Hope this helps!

Answer:$6

Step-by-step explanation: 18÷3=6

Answer:

b = 70 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees.

We know 2 angles, one is 80 degrees, and one is 30 degrees.

80 + 30 = 110 degrees.

180 - 110 = 70 degrees

So, b = 70 degrees.

no of students in each van = 6

no. of students in each bus = 42

This can be solved by equation solving.

An equation is a formula in mathematics that uses the equals sign (=) to represent the equality of two expressions.

Given that,

Let, x = no. of students in van

y = no. of students in bus

According to the question:

5x + 4y = 198 .............. (1)

4x + 3y = 150 ............. (2)

Multiply equation (1) by 4 and equation (2) by 5 we get:

20x + 16y = 792

20x + 15y = 750

now after subtractions:

or, y = 42

putting the value of y in equation (1) we get:

5x + 4(42) = 198

or, 5x + 168 = 198

or, 5x = 30

or, x = 6

Thus, no of students in each van = 6

no. of students in each bus = 42

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Answer:

x = 12

x = 9

Step-by-step explanation:

See picture below :)

According to the Empirical Rule, approximately 68% of the data in a normal distribution will fall within ±1 standard deviation of the mean. The correct option is (d) 68%

The Empirical Rule is a statistical rule of thumb that describes the approximate proportions of data that fall within a certain number of standard deviations from the mean in a normal distribution.

The Empirical Rule states that for a normal distribution:

About 68% of the data will fall within 1 standard deviation of the mean

About 95% of the data will fall within 2 standard deviations of the mean

About 99.7% of the data will fall within 3 standard deviations of the mean

Therefore, option (b) 68 is the correct answer.

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Answer:

45.01

Step-by-step explanation:

You round to the nearest hundredth so since seven is big enough you add a 1 to the hundredth place

The area of the circle is more than 18 square units of the smaller square inside it and less than 36 square units of the bigger square which the circle is enclosed in. The circumference of the circle is question 2 is equal to 47 to the nearest whole number.

The circumference of a circle is the distance around its edge or perimeter. It can be calculated using the formula:

Circumference = 2 x π x radius

where π (pi) is a mathematical constant approximately equal to 3.14.

Alternatively, the formula can be expressed using the diameter of the circle, which is the distance across the circle passing through its center:

Circumference = π x diameter

The second question have its diameter as 15cm hence its circumference is evaluated as:

Circumference = 3.14 × 15cm

Circumference = 47.1cm.

The first question have the area of the bigger square equal to 36 square units and that of the smaller square equal to 18 square units, since the smaller square is enclosed by the circle and the circle is enclosed by the bigger square, then the area of the circle is more than 18 square units and less than 36 square units.

In conclusion, the area of the circle is more than 18 square units and less than 36 square units for the first question. And the circumference of the circle for the second question is equal to 47 to the nearest whole number.

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Measure of MP is 10 units.

Angle bisector theorem states that if a line segment is drawn from a vertex of a triangle to the opposite side such that it bisects the angle, then the two parts of the opposite side which are divided by the line segment is proportional to the other two sides of the triangle.

Given is a triangle MNO.

Line segment NP bisects the angle MNO.

MO is divided into two segments MP and PO.

By the Angle Bisector Theorem,

MP / PO = MN / ON

Substituting,

MP / 8 = 15 / 12

MP = (15 / 12) × 8

MP = 10

Hence the measure of MP is 10.

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The answers are:

a)the number we're looking for is [tex]2^{(-97.5)}[/tex], or approximately [tex]1.629 x 10^{(-30)}.[/tex]

b)the value of a is -13.

c) there were 61 people in the line before the second round of people squeezing in.

What is algebra?

Algebra involves solving equations and manipulating expressions to find the value of unknown quantities. It involves working with numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

11. We can solve this problem by using the properties of exponents and algebra.

Let the number we're looking for be x. Then, we can write the equation:

x * 8⁶⁵ = 16⁵⁰

We can simplify the right side of the equation by using the property:

[tex]a^2 = (a^{1/2})^2[/tex]

So, we have:

[tex]16^{50} = (2^4)^{50} = 2^{(4*50)} = 2^{200}[/tex]

Now we can substitute this into the equation:

[tex]x * 8^{65} = 2^{200}[/tex]

We can simplify the left side of the equation by using the property:

[tex]a^n * b^n = (ab)^n[/tex]

So, we have:

[tex]x * (8^2)^{32.5} = (2^3)^{32.5} = 2^{(3*32.5)} = 2^{97.5}[/tex]

Now we can substitute this into the equation:

[tex]x * 64^{32.5} = 2^{97.5}[/tex]

We can simplify the left side of the equation by using the property:

[tex]a^{(n/2)} = (a^n)^{(1/2)}[/tex]

So, we have:

[tex]x * (2^6)^{32.5} = x * 2^{(6*32.5)} = x * 2^{195}[/tex]

Now we can substitute this into the equation:

[tex]x * 2^{195} = 2^{97.5}[/tex]

We can simplify both sides of the equation by dividing by [tex]2^{195}[/tex]:

[tex]x = 2^{97.5} / 2^{195}[/tex]

[tex]x = 2^{(-97.5)}[/tex]

Therefore, the number we're looking for is [tex]2^{(-97.5)}[/tex], or approximately [tex]1.629 x 10^{(-30)}.[/tex]

12. We can find the equation of the line using the two given points and then use the fact that the line passes through the origin to solve for a.

First, we can find the slope of the line using the two given points:

slope = (y2 - y1) / (x2 - x1)

slope = (3 - 9) / (40 - (2a + 50))

slope = -6 / (-2a - 10)

slope = 3 / (a + 5)

Now we can use the point-slope form of the equation of a line to write the equation of the line passing through the two given points:

y - 9 = (3 / (a + 5))(x - (2a + 50))

Simplifying this equation, we get:

y - 9 = (3x / (a + 5)) - (6a + 150 / (a + 5))

Now we can use the fact that the line passes through the origin to solve for a:

When x = 0, y = 0, so we can substitute these values into the equation:

0 - 9 = (3(0) / (a + 5)) - (6a + 150 / (a + 5))

-9(a + 5) = 6a + 150

Expanding and simplifying:

-9a - 45 = 6a + 150

-15a = 195

a = -13

Therefore, the value of a is -13.

14. Bree can organize her trip in different ways depending on how many countries she decides to visit. If she visits only one country, there is only one way to organize her trip. If she visits two countries, she can either choose to visit the second country or skip it, which gives her 2 possible ways to organize her trip. If she visits three countries, she has 2 options for the second country and 2 options for the third country (visit or skip), giving her a total of 2x2 = 4 ways to organize her trip. Following this logic, we can create a table to show the number of ways Bree can organize her trip for different numbers of countries:

Number of countries | Number of ways to organize a trip

1                                        1

2                                       2

3                                       4

4                                       8

5                                      16

6                                      32

7                                      64

Therefore, Bree can organize her trip in a total of 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127 ways.

13. Let's start by working backward. After the second round of people squeezing in, there are 121 people in the line. Let's call the number of people in the line before the second round "x". Then we can set up an equation to represent this situation:

121 = x + (x-1)

The reason we have x-1 in the equation is that between each pair of people in the original line, one person squeezed in during the first round, so we have one less gap between people in the new line.

Simplifying the equation, we get:

121 = 2x - 1

Adding 1 to both sides, we get:

122 = 2x

Dividing both sides by 2, we get:

x = 61

Therefore, there were 61 people in the line before the second round of people squeezing in. But before the first round, there were also gaps between people, so the actual initial number of people in the line is one more than the number of gaps. Since there are x-1 gaps between x people, there were 60 gaps and therefore 61 initial people in the line.

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The correlation coefficient for the data shown in the scatter plot is- 0.9.

The correlation coefficient is a measure of the strength of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The correlation coefficient can be used to measure the strength of the linear correlation between two variables, as well as identify whether a relationship between two variables is positive or negative. It can also be used to compare the strength of different relationships between multiple variables.

The scatter plot shows a strong negative linear relationship between the two variables, indicating that as one variable increases, the other variable decreases. Therefore, the correlation coefficient is likely to be close to -1, making -0.9 the best estimate.

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Answer:

23

Step-by-step explanation:

Answer:

The step which is used is to construct the altitude from the incentre  to a side of triangle and label the intersection point.

Step-by-step explanation:

Given point d is is the center of inscribed circle.

To construct the inscribed circle of abc we have several steps of construction

Step 1: First step is to construct the incenter with the help of angle bisectors of two base vertices.

Here given d center of inscribed circle that means the incenter given.

Step 2: After incenter, draw a line perpendicular to one side of triangle that passes through incenter and the label the point of intersection.

This is very important step because after labelling measure the radius(same as the distance between the incenter and labelled point) and draw the circle.  

Hence, after incenter The next step is to construct the altitude from the incentre  to a side of triangle and label the intersection point.

Step 2 is used draw inscribed circle when incenter already given.

The equation of the points is y + 4 = -7(x = 24)

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

(-4,24) and (7,-53)

The slope is calculated as

m = (-53 - 24)/(7 + 4)

m = -7

The equation is then calculated as

y - y1 = m(x - x1)

Substitute the known values in the above equation, so, we have the following representation

y + 4 = -7(x = 24)

Hence, the equation is y + 4 = -7(x = 24)

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Answer: x=24

Step-by-step explanation:

Ok, this one is a bit tricky, you just have to keep in mind that directions specifically state that this is a rectangle.

A rectangle's opposite sides will always be the same, so the side opposite to 7 (the bottom of the rectangle) is also 7.

Now we should only be concerned with the triangle that includes the side-length that is x. So now we can use the Pythagorean theorem:

(leg length)^2+(other leg length)^2=(hypotenuse)^2

So if we plug in the values we have:

7^2+x^2=25^2

Solve for x:

49+x^2=625

x^2=625-49

x^2=576

x=[tex]\sqrt{576}[/tex] (square root is the inverse of square)

x=24

Hope this helps :)

Answer:

Step-by-step explanation:

Applying the distance formula, we get that the distance is sqrt(14^2+(-3)^2)=sqrt(205), which is approximately 14.3178211. Rounding to the nearest tenth, we get that the distance is 14.3 units long.

The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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The equation y = -5x - 1 is steeper than the equation y = -2x - 7.

In mathematics, the relative slope or rate of change of two lines or curves is referred to as "steeper." If one line or curve's slope or rate of change is larger than another, it is said to be steeper than the other.

To compare the steepness of two linear equations, we can look at their slopes, which represent the rate of change of the dependent variable (y) with respect to the independent variable (x). The slope of a line is given by the coefficient of x in the equation y = mx + b, where m is the slope.

Let's compare the slopes of the two equations:

y = -5x - 1: The coefficient of x is -5, so the slope is -5.

y = -2x - 7: The coefficient of x is -2, so the slope is -2.

Since the slope of the first equation (-5) is greater in magnitude than the slope of the second equation (-2), we can conclude that the first equation is steeper than the second equation.

Alternatively, we can look at the absolute values of the slopes. The absolute value of the slope of the first equation is 5, which is greater than the absolute value of the slope of the second equation, which is 2. This confirms that the first equation is steeper than the second equation.

Therefore, the equation y = -5x - 1 is steeper than the equation y = -2x - 7.

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The measure of side a given the characteristics of the oblique triangle as discussed is; 34.02.

As evident in the task content, A = 151° C = 9° b = 24. Therefore, the measure of angle B = 180° - 151° - 9° = 20°.

Ultimately, the length of side a can be determined using sine rule as follows;

a / sin 151° = b / sin 20°

a = 24 sin 151° / sin 20°

a = 34.02.

Ultimately, the length of side a is; 34.02.

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Answer:

To prove that AD is a bisector of BC, we need to show that AD divides BC into two congruent segments.

Since AB ≅ AC, we have ∠BAC ≅ ∠CAB by the isosceles triangle theorem.

Since BD ≅ CD, we have ∠CBD ≅ ∠CDB by the same reasoning.

Now, we can use the angle bisector theorem, which states that if a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to the adjacent sides.

Applying the angle bisector theorem to triangle BCD with angle ∠BCD, we get:

BD/DC = AB/AC

Since AB ≅ AC and BD ≅ CD, we can substitute and simplify to get:

BD/CD = 1

This implies that BD ≅ CD.

Therefore, AD divides BC into two congruent segments, and AD is a bisector of BC.

Hope this helps!

Answer:

Step-by-step explanation:

To find the equation of a line that passes through two given points, we can use the point-slope form of the equation of a line. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and (x, y) are the coordinates of any other point on the line.

To use this formula, we first need to find the slope of the line that passes through the two given points (-4, -2) and (-6, -5). The slope, denoted by m, is given by the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-4, -2) and (x2, y2) = (-6, -5). Substituting these values, we get:

m = (-5 - (-2)) / (-6 - (-4))

= (-5 + 2) / (-6 + 4)

= -3 / -2

= 3/2

So, the slope of the line is 3/2.

Now, we can choose either of the two given points and use it with the slope to write the equation of the line. Let's use the first point, (-4, -2). Substituting the values of x1, y1, and m in the point-slope formula, we get:

y - (-2) = (3/2)(x - (-4))

Simplifying the right side of the equation, we get:

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

Expanding the right side, we get:

y + 2 = (3/2)x + 6

Subtracting 2 from both sides, we get:

y = (3/2)x + 4

So, the equation of the line that passes through the points (-4, -2) and (-6, -5) is:

y = (3/2)x + 4