(03.06 LC)
Choose the equation below that represents the line that passes through the point (2, 4)
and has a slope of 3. (5 points)
Oy -4 = 3(x - 2)
O y-2 - 3(x - 4)
O y + 4 = 3(x + 2)
O y + 2 = 3(x + 4)

Answer:

answer is B..as x approaches negative infinity,f(x) approaches positive infinity.

After performing the chi square test on the data given we get the result as false, therefore we will reject the null hypothesis.

In this instance, the goodness of fit will be assessed using a Chi-square test.

The hypothesis are ,

H0 : The frequencies that were seen match those that were anticipated.

H1  : The observed and predicted frequencies are not the same.

The following is the test statistic:

X² = ( O - E )² / E

The values in the table are computed.

75.10 is the test statistic value.

The test's degrees of freedom are:

n - 1 = 4 - 1 = 3

0.00001 = p-value

0.05 is the p-value, which is 0.00001 as per Chi square table.

So, at whatever level of significance, the null hypothesis will be disproved.

Therefore, there is enough data to disprove the idea that age-related crash rates are inversely correlated with driving rates.

To learn more about chi square test

brainly.com/question/14082240

#SPJ4

The line /TV/ that we have been asked to find from the information is the question is obtained as 7.

The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.

We know that the missing angle U is obtained from;

180 - (58.3 + 80)

= 41.7°

Then;

8.9/Sin 58.3 = /TV//Sin 41.7

/TV/ = 8.9 Sin 41.7/Sin 58.3

/TV/ = 5.9/0.85

= 7

Learn more about sine rule:https://brainly.com/question/30339234

#SPJ1

To calculate the probability that the club will win at least 1 of the 3 matches, we need to calculate the probability that they will lose all 3 matches and then subtract that from 1.

The probability of losing all 3 matches would be (0.7)^3 = 0.343. So the probability of winning at least 1 of the 3 matches would be 1 - 0.343 = 0.657, or approximately 66 percent.
To find the probability that the club will win at least 1 of the next 3 matches with a 30 percent probability of winning each match, we can use the complementary probability method. This involves finding the probability of the opposite event occurring (i.e., the club losing all 3 matches) and then subtracting that probability from 1.
Step 1: Determine the probability of losing each match. Since the club has a 30 percent probability of winning each match, the probability of losing each match is 1 - 0.30 = 0.70.
Step 2: Find the probability of losing all 3 matches. Since the matches are independent events, you can multiply the probability of losing each match together: 0.70 * 0.70 * 0.70 = 0.343.
Step 3: Calculate the complementary probability. To find the probability of winning at least 1 match, subtract the probability of losing all 3 matches from 1: 1 - 0.343 = 0.657.
So, the probability that the club will win at least 1 of the next 3 matches with a 30 percent probability of winning each match is 0.657 or 65.7%.

Visit here to learn more about probability:

brainly.com/question/30034780

#SPJ11

Answer:

$0.22 per bagel

Step-by-step explanation:

A dozen is 12:

2.64/12 = 0.22

Answer:

3645 when n =7 even no. of (n-1) makes the whole power positive

If you wanted to determine if your PSYC210 class performed significantly better than another section on a stats knowledge test, you would use a hypothesis test, specifically a two-sample t-test.

A hypothesis test is a statistical method used to determine whether there is a significant difference between two groups or populations based on their observed data. In this case, you would compare the mean score of your PSYC210 class on the stats knowledge test with the mean score of the other section using a two-sample t-test. The null hypothesis would be that there is no significant difference between the means of the two sections, and the alternative hypothesis would be that there is a significant difference.

To know more about stats knowledge,

https://brainly.com/question/13202030

#SPJ11

Answer:

  68

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

__

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

  g(x) = 5x +4

  g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

Now that we know g(-2) = -6, we know this expression is ...

  f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

  (f∘g)(-2) = 68

Answer:

200.96

Step-by-step explanation:

So, we have to find the area of both.

The area for the mat is

(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.

So, 226.08

Next, the water bowl.

(3.14)4^2=50.24.

226.08-25.12=200.96

I may be wrong!

The height of the wall where the ladder reaches will be 23.6 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Avery leans a 24-foot ladder against a wall so that it forms an angle of 80° with the ground.

The height of the wall where the ladder reaches is given as,

\(\text{sin 80}^\circ \sf =\dfrac{h}{24}\)

\(\sf h = 24 \times \text{sin 80}^\circ\)

\(\sf = 24 \times \text{0.9848}\)

\(\sf h = 23.63\thickapprox\bold{23.6 \ feet}\)

The height of the wall where the ladder reaches will be 23.6 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/26471428

Answer:

1133.54 ft^2

Step-by-step explanation:

the area of a circle is pir^2. r=19ft. so the answer is 3.14*19^2=1133.54

Answer:

A. The coefficient of determination is 0.743. 74.3% of the variation is explained by the linear correlation and 25.7% is explained by other factors.

Explanation:

The coefficient of determination is the percentage variation in y explained by all the x variables together.

It is the square of the correlation coefficient.

Using a regression calculator:

Thus:

The closest result from the options is 0.743.

Therefore, the coefficient of determination is 0.743. 74.3% of the variation is explained by the linear correlation and 25.7% is explained by other factors.

Option A is correct.

The answer is b=18. To solve, multiply 6 by 3 to get 18. This is called doing the inverse operation. Since the equation is a division equation, we would have to multiply in order to find the missing variable.

He ran 42.1 kilometers.

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet. The act or process of transforming something into a different condition or form is known as conversion. to convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.

Given,

A marathon is a 26.2-mile race that commemorates the run made by a greek soldier, pheidippides, that took place in 490 bce.

1 mile = 1.609

Converting miles into kilometer:

26.2 miles

= 26.2 × 1.609

= 42.1

He ran 42.1 kilometers.

To learn more about conversion, visit:

https://brainly.com/question/1822263

#SPJ4

The statement that best describes this random sample is the five paintings sampled.

The best description for the random sample of five paintings studied in a museum is D which indicates that they represent the five paintings sampled. This sample cannot be generalized to all art in a museum (option A) or all paintings in a museum (option B) because it only includes five specific paintings.

Similarly, it would not be accurate to claim that this sample represents all paintings in the world (option C). The information provided only pertains to the monetary value, type of paint, size of the canvas and weight of the sampled paintings making it limited in scope to the five specific artworks that were examined.

Read more about random sample

brainly.com/question/24466382

#SPJ1

Answer:

1,120

Step-by-step explanation:

Answer:

5x² + 13x - 6

Step-by-step explanation:

F - First ( multiply the first terms from each bracket )

I - Inner ( multiple the last term of the first bracket and the first term of the second bracket )

O - Outter ( multiply the outer terms i.e the first term of the first bracket with the last term of the 2nd bracket )

L - Last ( multiply the last terms of the brackets i.e the last term in the second bracket and the last term in the second bracket )

dont forget to take sign convention into consideration .

Answer:

21

Step-by-step explanation:

This triangle is isosceles ( I added a photo of my solution)

Answer:

This is how it should like like

Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Answer:

19cm

Step-by-step explanation:

7+4=11

a²+b²=c²

7²+4²=c²

c²=49+16=65

√8+7+4=19cm

(a)  Lease the vehicle is Categorical

(b) Price pay  Quantitative

(c)  The overall attractiveness of your vehicle's exterior is Categorical

(d)  Average miles-per-gallon is Quantitative

Now, According to the question:

a. Did you purchase or lease the vehicle?  CATEGORICAL DATA

b. What price did you pay?  QUANTITATIVE DATA

c. What is the overall attractiveness of your vehicle's exterior? (Unacceptable, Average,  Outstanding, or Truly Exceptional)  CATEGORICAL DATA

d. What is your average miles-per-gallon?  QUANTITATIVE DATA

Quantitative data can be measured in numbers, e.g. 20 miles per gallon. While categorical data refers to non-numerical responses, e.g. higher quality, better looks, and is generally obtained by choosing one response from a group of available answers.

Learn more about Quantitative data at:

https://brainly.com/question/18152737

#SPJ4

The conversion of decimal number directly to binary number will be faster.

The number conversion deals with the operation to change the base of the number.

Binary number - It contains only 2 numbers that are 1 and 0.

Decimal number - It contains 10 numbers that are from 0 to 9.

Hexadecimal number - It contains 16 numbers that are from 0 to F.

Convert the decimal number 431 to binary will be

431 / 2 = 215 with 1 remainder

215 / 2 = 107 with 1 remainder

107 / 2 = 53 with 1 remainder

53 / 2 = 26 with 1 remainder

26 / 2 = 13 with 0 remainder

13 / 2 = 6 with 1 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

The decimal number 431 to binary number will be 110101111.

Convert first to hexadecimal and then from hexadecimal to binary. Then we have

(431)₁₀ = (1AF)₁₆ = (110101111)₂

More about the conversion of the number system link is given below.

https://brainly.com/question/655411

#SPJ1

Answer:

No. of children Frequency

0. 5

1. 7

2. 11

3. 5

4. 6

5 3

6 3

Answer:

Reflection.

Step-by-step explanation:

Reflection moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding pre-image and image points.

On the other hand, "Translation" moves points the same distance along lines that are parallel to each other while "Rotation" moves points along concentric circles and through the same angle of rotation.

At an angle of 90°, a line of reflection intersects the line segments connecting corresponding points of the pre-image under a reflection.

Basically, a reflection allows us to flip an object or figure across a line, point or plane without any change in its shape or size.

Hence, to reflect an object or a figure such as a triangle simply means that its mirror image would be produced with respect to a line; this line is generally referred to as the line of reflection.

Answer:

Step-by-step explanation:

To find the weight of an adult bull whose z-score is 1.5, we need to use the formula:

z = (x - μ) / σ

where z is the z-score, x is the weight of the bull we want to find, μ is the population mean weight (1450 pounds), and σ is the population standard deviation (240 pounds).

We can rearrange this formula to solve for x:

x = z*σ + μ

Substituting the given values, we get:

x = 1.5 * 240 + 1450

x = 360 + 1450

x = 1810

Therefore, the weight of an adult bull whose z-score is 1.5 is 1810 pounds.

The equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

If we assume that the growth rate of the world population was constant from 1997 to 2017, then we can use the following equation:

Population in 2017 = Population in 1997 × (1 + r)²⁰

where r is the annual growth rate, and the exponent 20 represents the number of years between 1997 and 2017.

We can rewrite this equation to solve for r:

(7.53 ) = (5.88 ) × (1 + r)²⁰

Divide both sides by (5.88 ):

(7.53 ) / (5.88 ) = (1 + r)²⁰

Take the 20th root of both sides:

\((7.53 / 5.88 )^{(1/20)} = 1 + r\)

Subtract 1 from both sides:

\(r = (7.53 / 5.88 )^{(1/20)} - 1\)

Therefore, the equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

Learn more about the growth rate here:

https://brainly.com/question/29291084

#SPJ1

Answer:

19.2

What is 40 percent (calculated percentage %) of number 48? Answer: 19.2.

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

40/100=0.4

0.4 *48=19.2

We can use the Rational Root Theorem to answer this question.

It says that, for a polynomial with integer coefficients, each rational solution:

In lowest terms, can be found as:

- p is an integer factor of the constant term of the polynomial.

- q is an integer factor of the leading coefficient of the highest degree term of the polynomial.

That is, given the polynomial:

p must be a factor of 2 and q must be a factor of 6.

We also need to consider both positive and negative roots.

The factors of 2 are 1 and 2, so these are the options for p.

The factors of 6 are 1, 2, 3 and 6, so these are the options for q.

Now, we need to write every combination of p and q, considering both + and - signs:

Now, we simplify:

And we remove the repeating ones:

by comparison, we can see that it corresponds to the third alternative.

Answer:

x=78

Step-by-step explanation:

x+x+24=180

2x+24=180

2x=156

x=78