Which of the coordinate points below will fall on a line where the constant of proportionality is 1/3? Select all that apply.

A) (5,8)

B) (3,1)

C) (9,3)

D) (12,4)

E) (18,6)

The solution is Option C.

The total distance skated by the ice skater is 126 meters

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

Given data ,

Let the distance traveled by the skater be = D

Let the diameter of the circle A be = 20m

Let the diameter of the circle B be = 20m

So , the radius of circle A = 10 m

The radius of circle B = 10 m

Now , the value of π = 3.14

So , the distance traveled by the skater = perimeter of circle A + perimeter of circle B

Perimeter of Circle A = 2πr

Substituting the values in the equation , we get

Perimeter of Circle A = 2 x 3.14 x 10

Perimeter of Circle A = 62.8 m

And ,

Perimeter of Circle B = 2πr

Perimeter of Circle B = 2 x 3.14 x 10

Perimeter of Circle B = 62.8 m

Therefore , the distance traveled by the skater = Perimeter of Circle A + Perimeter of Circle B

Substituting the values in the equation , we get

The distance traveled by the skater = 2 x 62.8

The distance traveled by the skater = 125.6 meters

The distance traveled by the skater = 126 meters

Therefore , the value of D is 126 meters

Hence , The total distance skated by the ice skater is 126 meters

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Answer:

a) 7(8)+9 (12)

b)7x+45

c )10 hours

Step-by-step explanation:

Hi, to answer this question we have to write an expression

The amount earned by Jason must be equal to the product of the amount he earns per hour during the week (7) and the hours worked during the week (x) ; plus the product of the amount he earns per hour during the weekend ( 9) and the hours worked during the weekend (y):

7x+ 9y

a) substitute x=8 and y=12

7 (8)+ 9 (12)

b) substitute y =5

7 x +9(5) =

7x+ 45 =

c)

Substitute y=5 and the expression must be equal to the amount he needs to buy sports equipment (115):

7x+9 (5)=115

Solving for x:

7x + 45 =115

7x = 115-45

7x = 70

x =70/7

x =10 hours

Answer:

A) angle

Step-by-step explanation:

This is a definition.

The lower estimate for the integral of TM(x) over the interval [-10, 30] is 44, and the upper estimate is 96.

Based on the given table, we have the following values:

x: -10, 18, 22, 26, 30

TM(x): -1, 2, 4, 7, 9

To find the lower and upper estimates for the integral of TM(x) with respect to x over the interval [-10, 30], we can use the lower sum and upper sum methods.

Lower Estimate:

For the lower estimate, we assume that the function is constant on each subinterval and take the minimum value on that subinterval. So we calculate:

Δx = (30 - (-10))/5 = 8

Lower estimate = Δx * min{TM(x)} for each subinterval

Subinterval 1: [-10, 18]

Minimum value on this subinterval is -1.

Lower estimate for this subinterval = 8 * (-1) = -8

Subinterval 2: [18, 22]

Minimum value on this subinterval is 2.

Lower estimate for this subinterval = 4 * 2 = 8

Subinterval 3: [22, 26]

Minimum value on this subinterval is 4.

Lower estimate for this subinterval = 4 * 4 = 16

Subinterval 4: [26, 30]

Minimum value on this subinterval is 7.

Lower estimate for this subinterval = 4 * 7 = 28

Total lower estimate = -8 + 8 + 16 + 28 = 44

Upper Estimate:

For the upper estimate, we assume that the function is constant on each subinterval and take the maximum value on that subinterval. So we calculate:

Upper estimate = Δx * max{TM(x)} for each subinterval

Subinterval 1: [-10, 18]

Maximum value on this subinterval is 2.

Upper estimate for this subinterval = 8 * 2 = 16

Subinterval 2: [18, 22]

Maximum value on this subinterval is 4.

Upper estimate for this subinterval = 4 * 4 = 16

Subinterval 3: [22, 26]

Maximum value on this subinterval is 7.

Upper estimate for this subinterval = 4 * 7 = 28

Subinterval 4: [26, 30]

Maximum value on this subinterval is 9.

Upper estimate for this subinterval = 4 * 9 = 36

Total upper estimate = 16 + 16 + 28 + 36 = 96

Therefore, the lower estimate for the integral of TM(x) with respect to x over the interval [-10, 30] is 44, and the upper estimate is 96.

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Answer:

111

Step-by-step explanation

I took the quiz

Answer:

11117.01255

Step-by-step explanation:

V=πr^2h=π·19.3^2·9.5≈11117.01255

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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The null hypothesis is that the mean tuna consumption by a person is equal to 3.6 pounds per year (μ = 3.6). The alternative hypothesis is that the mean tuna consumption by a person is less than 3.6 pounds per year (μ < 3.6).

Null Hypothesis (H₀): The mean tuna consumption is 3.6 pounds per year (µ = 3.6). Alternative Hypothesis (H₁): The mean tuna consumption is not 3.6 pounds per year (µ ≠ 3.6).

Given that the P-value (0.003) is less than the significance level α = 0.07, we reject the null hypothesis. This suggests that there is enough evidence to reject the nutritionist's claim that the mean tuna consumption is 3.6 pounds per year.

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The dealer bought 42 radios.

Let x be the number of radios the dealer bought.

Let y be the price the dealer paid for each radio.

We know that the dealer bought x radios for a total of $1,008, so:

x * y = 1008

We also know that the dealer gave away 6 radios and sold the rest for $14 more than she paid for each radio, breaking even. This means that the total revenue from selling the remaining radios is equal to the total cost of buying them:

(x - 6) * (y + 14) = x * y

Simplifying this equation, we get:

xy + 14x - 6y - 84 = xy

14x - 6y = 84

7x - 3y = 42 (dividing by 2 on both sides)

Now we have two equations:

x * y = 1008

7x - 3y = 42

We can use substitution or elimination to solve for x and y. Let's use elimination by multiplying the second equation by y/3 and adding it to the first equation:

x * y + (7x - 3y) * (y/3) = 1008 + 42 * (y/3)

xy + 7xy/3 - y²/3 = 1008 + 14y

10xy/3 - y²/3 - 14y - 1008 = 0

Multiplying both sides by 3, we get:

10xy - y² - 42y - 3024 = 0

Now we can use the quadratic formula to solve for y:

y = (-b ± sqrt(b² - 4ac)) / 2a

where a = -1, b = -42, and c = -3024:

y = (-(-42) ± sqrt((-42)² - 4(-1)(-3024))) / 2(-1)

y = (42 ± sqrt(42² - 4*3024)) / 2

y = (42 ± 126) / 2

y = 84 or y = -42

Since the price of a radio cannot be negative, we can discard the second solution and conclude that y = 84.

Now we can solve for x using the first equation:

x * y = 1008

x * 84 = 1008

x = 12

Therefore, the dealer bought 12 radios.

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Answer:

A

Step-by-step explanation:

The correct option is B) record.

As used in line 61, "document" most nearly means record.

The record would be any document that you or your organization creates or receives in any media (paper, electronic, or even video) that enables you to continue to do business. The worth of a record as decided by its content rather than its format.

Some key features regarding the record are-

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1) Option B, which states that the confidence interval size shrank from 0.99 to 0.90, is the right answer.

2) Option D is the best decision. Confidence interval: 0.88

1) Confidence intervals are ranges of estimates for unknown parameters in frequentist statistics. Confidence intervals are given a confidence level. The most common level is 95%, but other levels, such as 90% or 99%, may be used as well.

Therefore, option B is the correct choice, which states that the confidence interval size decreased from 0.99 to 0.90

2) Probability is another word for confidence in statistics. An estimate that falls between the upper and lower values of a confidence interval, such as one constructed with a 95% level of confidence, is 95 out of 100 times likely to be accurate.

It can be calculated as:

df=n-1=19

t critical value 0.12 (two tail) = 1.62797

M = 51.5

sM = √(6.842 / 20) = 1.53

μ = M ± Z (sM)

μ = 51.5 ± 1.62797 * 1.53

μ = 51.5 ± 2.49

therefore, CI { 49.01 and 53.99 }

The correct choice is option D. 0.88 confidence interval.

. move the slider all the way to the right to a confidence coefficient of 0.99. now move the slider to a confidence coefficient of 0.90. what happened to the size of the confidence interval during the move from 0.99 to 0.90? from 0.99 to 0.90 the confidence interval size became larger from 0.99 to 0.90 the confidence interval size became smaller from 0.99 to 0.90 the confidence interval size remained constant -select- 2. what level of confidence would you need have so that the value of the true population mean of training time was between 49.01 and 53.99 days? 0.93 0.97 0.85 0.88

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Answer:

Step-by-step explanation:

The first three terms are 5,8,11

If the equation for the nth term is 3n+2, we can easily insert numbers into the equation to get the 1st, 2nd, and 3rd term

n=1

3*1+2=5

n=2

3*2+2=8

n=3

3*3+2=11

The first 3 terms are therefore 5,8,11.

Answer:

he domain is all real numbers, and the range is all integers that are multiples of 3.

The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.

The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.

On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.

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The measure of angle STU is equal to 79 degrees.

We have given that,

The measure of angle STV is 85 degrees.

We have to determine the measure of angle STU.

We have given that the angle STV is 85 degrees and if we rotated it backward 6 degrees the It makes the angle is STU.

an angle can be defined as the figure formed by two rays meeting at a common endpoint.

Therefore,The angle STV is the angle STV-6degrees.

Therefore we get,

STU=STV-6

STU=85-6

STU=79

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Answer: I believe the answer is linear.

Step-by-step explanation:

To answer, this we'll have to look up the definition. Linear in math means "a straight line." However, exponential means it has curves in it. And if the manager gets a 5% salary every year, keyword every, it means he gets the same amount each year, making that a straight line in a graph.

Answer:

4/9

Step-by-step explanation:

if you make 1/3 x 3 to put it at /9, it will give you 3/9, now, 3/9+1/9=4/9 sorry for bad english

Answer:

30 cm

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

The statement "(dbl num, 2)" does not correctly represent rounding the value of "dbl num" to two decimal places. The correct notation for rounding a number to two decimal places is typically represented as "round(dbl num, 2)" or "dbl num rounded to 2 decimal places."

:)

Answer:

A) use a straightedge to draw a line thought D and F

Step-by-step explanation:

got it right on the test

Answer:

Use the straightedge to draw the line through points C and D.

Step-by-step explanation:

i took quiz

Answer:

315

Step-by-step explanation:

If 70 children is 2 parts, one part is 35

35*9 is 315

Answer:

315 adults

Step-by-step explanation:

2:9 where 2 is children and 9 is adults.

2 = 70, therefore 1 = 35

35 x 9 = 315

Answer:

Not enough data

Step-by-step explanation:

The sample size should be 39 to estimate the mean fuel efficiency of Ford Focus automobiles.

Sample size refers to the number of observations or units selected from a population to estimate the characteristics of that population.

In statistics, the sample size is a crucial factor in determining the accuracy and reliability of statistical conclusions drawn from the sample.

To estimate the mean fuel efficiency of Ford Focus automobiles with 99% confidence and a margin of error of no more than 1 mile per gallon, you can use the formula:

n = (z^2 * s^2) / E^2

where:

z = the z-score representing the desired confidence level (2.576 for 99%)

s = the estimated standard deviation (2.4)

E = the desired margin of error (1)

Substituting the values, we get:

n = (2.576^2 * 2.4^2) / 1^2

n = (6.634 * 5.76) / 1

n = 38.37

Therefore, On rounding up to the nearest whole number, you would need a sample size of at least 39 cars.

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Answer:

The data is more spread out so their is a greater variability in the data.

Step-by-step explanation:

The Mean absolute deviation is large, then the data is more spread out  and there is greater variability in the data.

Mean absolute deviation is "collected data set is the average of absolute deviations from the center point of the data set".

According to the question,

Formula for Mean absolute deviation = summation of ( absolute value of   xₙ - x⁻ divided by number of data values),     where ' xₙ' is the input data values and 'x⁻ ' is mean of the given data values .

When the mean absolute deviation is large number then the data spread out more and the variability is greater in data.

Hence, the Mean absolute deviation is large then there is greater variability in the data.

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The correct answer is row number 16 since the sum is 65536 in

pascal's triangle which equals to the 2 power of 16 , that is 4th option.

Pascal's triangle, in algebra, a triangular arrangement of numbers that gives the coefficients in the expansion of any binomial expression, such as (x + y)n. This triangle is the triangular array of numbers that begins with 1 on the top and with 1's running down the two sides of a triangle. In any row of Pascal's triangle, the sum of the first, third, fifth, … numbers is equal to the sum of the second, fourth, sixth numbers.

(1+x)n=(n0)+(n1)x+(n2)x2+⋯+(nr)xr+⋯+(nn−1)xn−1+(nn)xn.

We know that , 2^16 = 65536

Therefore, the numbers come from the row number.16

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To calculate the estimated standard error for the sample mean difference (s(m1 - m2)) when given the pooled variance (s2p), we need to use the formula:

s(m1 - m2) = √[(s2p / n1) + (s2p / n2)]

In this case, both samples have the same size, n = 5, so we can substitute n1 = n2 = 5 into the formula.

s(m1 - m2) = √[(40 / 5) + (40 / 5)]

s(m1 - m2) = √[8 + 8]

s(m1 - m2) = √16

s(m1 - m2) = 4

Therefore, the estimated standard error for the sample mean difference (s(m1 - m2)) is 4.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

25%

Step-by-step explanation:

Based on the given conditions, formulate

Calculate the sum or difference:

 Multiply a number to both the numerator and the denominator

: Write as a single fraction: 

Calculate the product or quotient: 

Rewrite a fraction with denominator equals 100 to a percentage: 

Answer:

thanks

Step-by-step explanation:

Answer:

Thank you (: