the standard deviation for using a certain radar speed detector is 0.56 mph for vehicle speeds around 30 mph. if you were traveling 33 mph in a 30 mph zone and if a police officer used this speed detector, what is the probability that you would be clocked at below the speed limit?

The pair of numbers that have the greatest common factor of 3 are:

6 and 9

18 and 15

3 and 9

The biggest number, which is the variable of at least two number is known as the Best Normal Element (GCF). It is the biggest number (factor) that partition them bringing about a Characteristic number. When every one of the elements of the number are found, there are not many variables which are normal in both.

The factors of 6 and 9 are:

6 ⇒ 1, 2, 3 and 6

9 ⇒ 1, 3, 9

The greatest common factor here is therefore 3.

The factors of 18 and 15 are:

18 ⇒ 1, 2, 3, 6, 9 and 18

15 ⇒ 1, 3, 5, and 15

Greatest common factor is also 3

The factors of 3 and 9 are:

3 ⇒ 1 and 3

9 ⇒ 1, 3, 9

Greatest common factor here is also 3.

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To calculate the probability of drawing two red cards, we need to consider the number of favorable outcomes (drawing two red cards) divided by the total number of possible outcomes.

Initially, there are 5 red cards and 8 blue cards, making a total of 13 cards For the first draw, Sarah has a 5/13 probability of drawing a red card since there are 5 red cards out of the total 13 cards.

After the first draw, there are 4 red cards remaining and a total of 12 cards left. Hence, for the second draw, Sarah has a 4/12 probability of drawing another red card.

To find the probability of both events occurring (drawing two red cards) without replacement, we multiply the probabilities of the individual events:

Probability of drawing two red cards = (5/13) * (4/12)

Simplifying the expression:

Probability of drawing two red cards = 20/156

The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 4:

Probability of drawing two red cards = 5/39

Therefore, the probability of Sarah drawing two red cards from the stack without replacement is 5/39.

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Answer:

x = 3/4

y = 5/4

Step-by-step explanation:

Step:

Substitute−x+2 for y in y=3x−1:

y=3x−1

−x+2=3x−1

−x+2+−3x=3x−1+−3x(Add -3x to both sides)

−4x+2=−1

−4x+2+−2=−1+−2 (Add -2 to both sides)

-4x = -3

x=3/4

Step: Substitute x into the original equation

y=-3/4 + 2

y=5/4

Hope this helps!!

River has been losing money for 11 days.

To find out how many days River has been losing money, we need to divide the total debt by the amount he goes into debt each day.

Given that River goes into debt 2 1/2 (or 2.5) every day and he is currently 27.50 in debt, we can set up the following equation:

2.5 * x = 27.50

where x represents the number of days River has been losing money.

To solve for x, we divide both sides of the equation by 2.5:

x = 27.50 / 2.5

x = 11

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Answer:

Collect, analyze, interpret and present quantitative data

Answer: Collect, analyze, interpret and present quantitative data

Step-by-step explanation:

2^3x^5×3y^2×3

8x^15y^6

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

The width of the cooling tower is 36 meters.

A cooling tower is a vent that is built for the purpose of releasing waste heat back to the atmosphere.

Now we can model the system using;  x²/324 - (y² - 90)²/1600. Thus, the width can be obtained from;

2 × ✓324

= 2 × 18

= 36 meters

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Missing parts;

Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.

36 meters

48 meters

80 meters

89 meters

The correct option: A. 12.78% of the variability of verbal score that can be explained by the linear regression on the math score.

Students majoring in statistics at Prosperity University responded to a survey that requested their Verbal as well as Math SAT scores. Depending on the math score, they sought to anticipate the verbal score.

Stated values:

We must first comprehend what a correlation coefficient is, claims the assertion.

Here, depending on the survey results, they seek to determine the verbal score using the math number (independent variable).

r² = 0.1278

r = √0.1278

Statement(1): - 12.78% of the verbal score variability that the linear regression on the mathematics score can account for.

TRUE. The provided model accounts for 12.78% of the variability and the verbal and mathematical scores.

Statement #2: A linear regression just on verbal score can account for 12.78% of the variance in math scores.

FALSE, Since the verbal score rather than the numerical score is the dependent variable.

Statement 3: The verbal significant dimension by 12.78 points for every 1 point improvement in math scores.

FALSE, the determination coefficient does not accurately capture the slope of the a linear model.

Statement (4): A math score increases up 12.78 points for every 1 point that the verbal score goes up on average.

FALSE—the determination coefficient does not accurately capture the slope of the a linear model.

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The correct question is-

A survey of Statistics undergraduate at Prosperity University completed a survey that asked for their Verbal and Math SAT scores. They wanted to predict the verbal score based on the math score. The value of R-Squared was 12.78%. Interpret R-squared.

Group of answer choices

A. 12.78% of the variability of verbal score that can be explained by the linear regression on the math score.

B. 12.78% of the variability of math score that can be explained by the linear regression on the verbal score.

C. As the math score increases by 1 point on average, the verbal score increases by 12.78 points.

D. As the verbal score increases by 1 point on average, the math score increases by 12.78 points.

Answer:

35 Degrees

Step-by-step explanation:

Angle JKL is reffering to the whole angle. The angle is split into two, it gives us the measurement for angle 1 which is 38 degrees. To find the answer we simply subtract angle m from angle JKL. 73-38 = 35... So angle 2 is 35 degrees.

Answer: Option D: $7803

Step-by-step explanation:

just multiply 459 by 17 and you get your answer.

The diagram which represents Mason's ratio of made throws and missed throws in the story is option A.

The following are answers to like terms collected respectively

The following expressions are equivalent

If Mason made 20 free throws

Equate missed throws ratio made throws

2 : 5 = x : 20

2/5 = x/20

cross product

2 × 20 = 5 × x

40 = 5x

divide both sides by 5

x = 40/5

x = 8

Total free throws Mason attempted = Number of throws Mason missed + Number of throws Mason made

= 8 + 20

= 28 free throws

If Jennifer made 16 bracelet with neon

Equate neon made bracelet ratio pastel made bracelet

4 : 3 = 16 : x

4/3 = 16/x

cross product

4 × x = 3 × 16

4x = 48

divide both sides by 4

x = 48/4

x = 12

Combine the like terms

4d + 5d

= 9d

8r + 6 + 9r - 3

= 8r + 9r + 6 - 3

= 17r + 3

6r - r + 4

= 5r + 4

Determine if the following expressions are equivalent

3 + 4 = 2 + 5

7 = 7

4(2 + x) = 8 + 4x

8 + 4x = 8 + 4x

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When Gregory adds these two numbers, the greatest sum Gregory can get will be 975.

From the information, Gregory forms two different numbers with the digits 1, 2, 3, 4, 5, and 6. Both numbers have 3 digits, and each digit is used only once. If he adds these two numbers, what is the greatest sum Gregory can get?

The greatest 3-digit number that can be formed with the digits 1, 2, 3, 4, 5, and 6 is 654 and the smallest is 123. If Gregory forms these two numbers, the sum of these numbers is 654 + 321 = 975, which is the greatest sum he can get.

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Answer:975

Step-by-step explanation:

uyygu

Answer: y = 35x + 75

Step-by-step explanation:

Let x be the number of hours and y is the total cost

We will have the equation

y = 35x + 75

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Since the internal angle sum of a triangle is 180 degrees, and the angles are in ratio if 1:1:4, the angles with that's corresponding to the 1 will have value of 180/6=30 degrees.

The largest angle will have value 30*4=120 degrees.

This is an obtuse triangle because largest angle>90 degrees.

Answer:

true

Step-by-step explanation:

Let us calculate the determinant of this quadratic equation:

Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0

The equation has one solution

x = -b/2a = 2

In given triangle, the value of t is 3.75 and the value of s is 10.4.

In a right triangle, the hypotenuse is the longest side, a "opposite" side is the one across from a given angle, and a "adjacent" side is close to a given angle. We use unique terminology to describe the sides of right triangles.

We can set up the following ratios because the two triangles in the illustration are comparable to one another:

t / 5 = 6 / 8 (using the smaller triangle)

s / 13 = 8 / 10 (using the larger triangle)

Simplifying these ratios, we get:

t / 5 = 3 / 4

s / 13 = 4 / 5

We may cross-multiply and simplify to find t and s:

t = 5(3/4) = 15/4 = 3.75

s = 13(4/5) = 10.4

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Based on an 80% learning curve and the given information that the second plane took 20,000 hours to produce, the time required for the fourth unit is approximately 10,714 hours.

The learning curve concept suggests that as cumulative production doubles, the time required to produce each unit decreases by a certain percentage. In this case, the learning curve is 80%, meaning that the time required to produce each subsequent unit decreases by 20%.
To determine the time required for the fourth unit, we can use the learning curve formula:
Time for nth unit = Time for the first unit * (n^log(learning curve))
Given that the second plane took 20,000 hours to produce, we can use this information to calculate the time for the fourth unit:
Time for fourth unit = 20,000 * (4^log(0.8))
Evaluating the expression, we find that the time required for the fourth unit is approximately 10,714 hours.
Therefore, according to the 80% learning curve, the fourth unit would require approximately 10,714 hours to produce.

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The estimated population for an area can be Red is 2611.2 and Green is 1894.4 respectively.

Given the population for a 1 cm2 area, the population of a 20 cm by 40 cm area is;

Green = 1894.4 Red = 2611.2

How can you determine the population using the population density?

The following are some probable details for a population density of 1 cm2:

The number of people per 6.25 cm2 is;

Red = 20.4

Green ≈ 14.8

Therefore, the density per 1 cm2 is;

Red = 20.4/6.25 = 3.264

Green ≈ 14.8 = 2.368

Consequently, the inhabitants of a 20 by 40 cm region are;

Red = 3.264 × 20 × 40 = 2611.2

Green ≈ 14.8 = 2.368 = 1894.4

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No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.

Given,

No, X or y-axis scale does not have to always start at zero.

A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.

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216 = 6^3

_____________

( 6^3 r^9 )^ 1/3 =

( 6^3/3 ) × ( r^9/3 ) =

6 × r^3 =

6r^3

Answer:

\(6r^3\)

Step-by-step explanation:

\(\left(216r^9\right)^{\frac{1}{3}}\)

Apply exponent rule: \(\left(a\times \:b\right)^n=a^nb^n\)

\(\longmapsto\) \(\left(216r^9\right)^{\frac{1}{3}}=216^{\frac{1}{3}}\left(r^9\right)^{\frac{1}{3}}\)

\(\longmapsto216^{\frac{1}{3}}\left(r^9\right)^{\frac{1}{3}}\)

\(216^{\frac{1}{3}}\)

Factor 216 = 6³

\(\longmapsto \left(6^3\right)^{\frac{1}{3}}\)

Apply exponent rule: \(\left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\)

\(\longmapsto\) \(\left(6^3\right)^{\frac{1}{3}}=6^{3\cdot \frac{1}{3}}\)

\(\longmapsto 6^{3\cdot \frac{1}{3}}\)

\(\longmapsto3\times \frac{1}{3}=1\)

\(\longmapsto6^1\)

\(\longmapsto6\)

\(6\left(r^9\right)^{\frac{1}{3}}\)

Apply exponent rule: \(\left(a^b\right)^c=a^{bc}\)

\(\longmapsto\left(r^9\right)^{\frac{1}{3}}=r^{9\cdot \frac{1}{3}}\)

\(\longmapsto6r^{9\cdot \frac{1}{3}}\)

\(\longmapsto9\times\frac{1}{3} =3\)

\(\longmapsto6r^3\)

________________________

OAmalOHopeO

Answer:

146

Step-by-step explanation:

72+4(33+2)−19

=49+4(33+2)−19

=49+4(27+2)−19

=49+(4)(29)−19

=49+116−19

=165−19

=146

Answer:

x=95°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore , the solution of the given problem of ratio comes out to be greatest portion of race covered is by Deangelo which is 0.72.

The simple formula "a / b" can be used to create a pair of similar variables "a" and "b," where "b" may also be greater than zero. One ratio is created by combining two ratios. If there were only one man and three women, the ratio would be 1:1. There are 1/4 boys and 3/4 girls in the group. A separation between a or more objects, a numeral, or a piece of a component's volume are all examples of parts.

Here,

Given :

=> Aljendaro  is 65%

=> Beth is 3/5

=> Christina is 0.7

=> Deangelo is 18/25

the greatest portion of the race covered is :

=> 65/100 = 0.65

=> 3/5 = 0.6

=> 0.7

=> 18/25 = 0.72

The greatest portion of race covered is by Deangelo which is 0.72.

Therefore , the solution of the given problem of ratio comes out to be greatest portion of race covered is by Deangelo which is 0.72.

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The complete question is " Four friends are in a marathon. After 3 hours, each friend has completed a different portion of the race.

Given:

Aljendaro  is 65%

Beth is 3/5

Christina is 0.7

Deangelo is 18/25 "

Answer:

36

Step-by-step explanation:

Given:

Draw a Venn diagram with 3 intersecting circles. Label each circle:

----------------------------------------------------------------------------------------------

Given:

Enter "5" in the central overlapping section of the Venn diagram.

----------------------------------------------------------------------------------------------

Given:

We know that 5 people bought all 3 bowls, so to find the number who bought a small and large bowl (but not a medium bowl):

⇒ 7 - 5 = 2

Enter "2" in the section S and L but not M.

----------------------------------------------------------------------------------------------

Given:

First, calculate the number of people who bought only a small and medium bowl (but not a large bowl).  We know that 5 people bought all 3 bowls, so subtract 5 from 12.

Enter "7" in the section S and M but not L

A total of 27 people bought a small bowl, so to find the number who bought a small bowl only (not a medium and/or large bowl), subtract the other found numbers from 27:

⇒ 27 - 5 - 2- 7 = 13

Enter "13" in the S only section.

----------------------------------------------------------------------------------------------

Given:

First, calculate the number of people who bought only a large and medium bowl (but not a small bowl).  We know that 5 people bought all 3 bowls, so subtract 5 from 15.

Enter "10" in the section M and L but not S

A total of 66 people bought a medium bowl, so to find the number who bought a medium bowl only, subtract the other found numbers:

⇒ 66 - 5 - 7 - 10 = 44

Enter "44" in the M only section.

----------------------------------------------------------------------------------------------

Given:

To find "L only" subtract all the known numbers from 100:

⇒ 100 - 5 - 2 - 7 - 13 - 10 - 44 = 19

Enter "19" into the L only section.

----------------------------------------------------------------------------------------------

Finally, to work out the total number of people that bought a large bowl, add up the numbers in the L circle:

⇒ 2 + 5 + 10 + 19 = 36

The number b such that the average value of f(x) = 26x - 3x² on the interval [0, b] is equal to 3 is b = 4.

To find the number b, we need to calculate the average value of the function f(x) = 26x - 3x² on the interval [0, b] and set it equal to 3.

The average value of a function f(x) on an interval [a, b] is given by the formula:

Avg = (1 / (b - a)) * ∫[a to b] f(x) dx

In this case, we have f(x) = 26x - 3x², a = 0, and Avg = 3. Plugging in these values, we get:

3 = (1 / (b - 0)) * ∫[0 to b] (26x - 3x²) dx

Simplifying, we have:

3 = (1 / b) * ∫[0 to b] (26x - 3x² dx)

To find the integral, we calculate it using the antiderivative of each term:

3 = (1 / b) * [(13x²- \(x^3\)) | from 0 to b]

Substituting the limits of integration, we have:

3 = (1 / b) * [(13b² - \(b^3\)) - (13(0)² - \((0)^3\))]

Simplifying further, we get:

3 = (1 / b) * (13b² - \(b^3\))

Multiplying both sides by b, we obtain:

3b = 13b² - \(b^3\)

Rearranging the equation, we have:

\(b^3\) - 13b² + 3b = 0

To find the value of b, we can either factor the equation or use numerical methods. By observation, we can see that b = 4 satisfies the equation.

Therefore, the number b such that the average value of f(x) = 26x - 3x² on the interval [0, b] is equal to 3 is b = 4.

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Answer:

Step-by-step explanation:

You ask yourself, "600 is 30% of how many students?". In equation form this looks like:

600 = .30x

Divide both sides by .30 and you'll get that the number of students is 2000