Name the figure below in two different ways.

Observations consisting of pairs of variable data are required to construct a scatter plot chart. A scatter plot chart is a graphical representation of the relationship between two variables.

One variable is plotted on the horizontal axis, while the other variable is plotted on the vertical axis. Each point on the chart represents an observation or data point consisting of a pair of values for the two variables being plotted. The scatter plot chart is useful for identifying patterns, trends, and relationships between the variables. It can also be used to detect outliers or unusual observations that do not follow the general pattern of the data.

The scatter plot chart can be enhanced by adding regression lines or trend lines, which provide a visual representation of the linear relationship between the two variables. Overall, the scatter plot chart is a powerful tool for analyzing and understanding the relationship between two variables in a dataset.

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Observations consisting of pairs of variable data are required to construct a scatter chart.

A scatter chart is a graphical representation of a set of observations where one variable is plotted on the x-axis and the other variable is plotted on the y-axis. Scatter charts are useful in identifying patterns and relationships between the two variables. The strength and direction of the relationship between the variables can be determined by examining the pattern of the scatter chart. If the data points are tightly clustered around a straight line, then there is a strong linear relationship between the two variables. On the other hand, if the data points are scattered without any pattern, then there is no relationship between the two variables. Scatter charts are commonly used in scientific research, marketing analysis, and other fields where two variables need to be analyzed simultaneously.

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120 miles! 6 (inches) x 20 (miles per inch) = 120, and it is of course miles, not inches, so:

-120 miles

Answer:

120 miles

Step-by-step explanation:

If there is 6 inches and each inch represents 20 miles, then we multiply 6 and 20 to get 120 miles between each town.

i think its b

sorry if im wrong..

Answer:

The highlighted one is correct

Step-by-step explanation:

That scenario is the only one that makes sense when less of "y" causes more of "x"

:)

The two inside angles add up to the external angle's total. The m∠1 will be 69°. Option D is correct.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

From the exterior angle property, the sum of the exterior angle is the sum of the two interior angles.

The m∠1 will be 69°.

Hence, option D is correct.

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Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

It's linear and equation of the function is :

f ( x ) = 2x - 1

Answer:

Step-by-step explanation:

Julio says that 6, 7, and 12 will make a right triangle but Matt says they will definitely not. Prove who is correct and show an example.

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2​. While if a, b, and c are the sides of the triangle, then ​c2 = a2 + b2.

so if c² = a² + b²

12² = 6² + 7²

144 = 36 + 49

144 = 85

it is not a right triangle, so Matt is right

a) The 95% confidence interval is 18.95% to 34.49%. b) The confidence interval for women (18.95% to 34.49%) does not include the value of 23.6%.

To construct a 95% confidence interval for the percentage of successful challenges made by women playing singles matches, we can use the formula for the confidence interval for a proportion. The formula is:

Confidence Interval = p ± Z * \(\sqrt{p(1-p)/n}\)

Where:

p is the sample proportion (successful challenges / total challenges)

Z is the z-score corresponding to the desired confidence level

n is the sample size

a. Let's calculate the confidence interval for the percentage of successful challenges made by women:

Sample size (n) = 135

Number of successful challenges (x) = 36

Sample proportion (p) = x/n

p = 36/135 ≈ 0.2667

To find the z-score corresponding to a 95% confidence level, we need to calculate the critical value. Since the sample size is large enough (n > 30), we can approximate the critical value using the standard normal distribution.

The z-score corresponding to a 95% confidence level (two-tailed test) is approximately 1.96.

Confidence Interval = 0.2667 ± 1.96 * \(\sqrt{0.2667(1-0.2667)/135}\)

Calculating the confidence interval:

Confidence Interval = 0.2667 ± 1.96 * \(\sqrt{0.2667*0.7333/135}\)

= 0.2667 ± 1.96 * \(\sqrt{0.19511/135}\)

= 0.2667 ± 1.96 * 0.03943

≈ 0.2667 ± 0.07723

The lower bound of the confidence interval is:

0.2667 - 0.07723 ≈ 0.1895

The upper bound of the confidence interval is:

0.2667 + 0.07723 ≈ 0.3449

Therefore, the 95% confidence interval for the percentage of successful challenges made by women is approximately 18.95% to 34.49%.

b. To compare the results with the 95% confidence interval for the percentage of successful challenges made by men (23.6%), we can observe that the confidence interval for women does not overlap with the value for men.

The confidence interval for women (18.95% to 34.49%) does not include the value of 23.6%. This suggests that there may be a significant difference in the percentage of successful challenges made by women compared to men.

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Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

Answer:

From looking at the graph, we can already tell it's a negative slope because it's tilting down, so we can eliminate A and D. Where the line intersects the y-axis is the y-intercept or b. Since it intersects at (0,2), the equation should be y=-2x+2.

(a) The ball is 3 feet high when it leaves the child's hand. (b) The maximum height of the ball is -249 feet. (c) The ball strikes the ground approximately 84.76 feet away from the child.

(a) When the ball leaves the child's hand, it means x = 0 because it hasn't traveled any horizontal distance yet. Substituting x = 0 into the equation, we get:

y = -1/21(0)² + 4(0) + 3

y = 0 + 0 + 3

y = 3 feet

Therefore, the ball is 3 feet high when it leaves the child's hand.

(b) To find the maximum height of the ball, we need to determine the vertex of the parabolic equation. The vertex of a parabola in the form y = ax² + bx + c is given by the formula:

x = -b / (2a)

In this case, a = -1/21 and b = 4. Substituting these values into the formula, we get:

x = -(4) / (2(-1/21))

x = -84/2

x = -42 feet

To find the maximum height, substitute x = -42 into the equation:

y = -1/21(-42)² + 4(-42) + 3

y = -1/21(1764) - 168 + 3

y = -84 - 168 + 3

y = -249 feet

Therefore, the maximum height of the ball is -249 feet. Note that the negative value indicates that the ball reaches a height of 249 feet above the child's hand.

(c)To find the distance from the child where the ball strikes the ground, we need to find the x-coordinate when y = 0. Set y = 0 in the equation and solve for x:

0 = -1/21x² + 4x + 3

To simplify the equation, let's multiply everything by 21 to eliminate fractions:

0 = -x² + 84x + 63

Rearranging the equation:

x² - 84x - 63 = 0

We can solve this quadratic equation by factoring or using the quadratic formula. However, in this case, the equation does not factor easily, so we'll use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 1, b = -84, and c = -63. Substituting these values into the formula, we get:

x = (-(-84) ± √((-84)² - 4(1)(-63))) / (2(1))

x = (84 ± √(7056 + 252)) / 2

x = (84 ± √7308) / 2

x = (84 ± 85.51) / 2

Simplifying further:

x = (84 + 85.51) / 2 or x = (84 - 85.51) / 2

x = 169.51 / 2 or x = -1.51 / 2

x = 84.76 feet or x = -0.76 feet

Since negative distance does not make sense in this context, the ball strikes the ground approximately 84.76 feet away from the child.

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Answer:

Step-by-step explanation:

5x+2=4x-9  -4x from both sides

x+2=-9 take 2 from both sides

x= -11

Answer:

x = -11

Step-by-step explanation:

5x + 2 = 4x - 9

5x = 4x - 11

x = -11

your question:

A Tiger beetle ran 123ft in 15 seconds. Find its unit rate per second.

answer:

8.2 ft per sec

123/15=8.2

8.2×15=123

hope this helps, have a great day! :)

Answer:

86 in.

Step-by-step explanation:

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.

Transition diagram:

        LEFT      RIGHT

    |--------->--------|

LEFT |   0.8        0.2   |

    |                   |

RIGHT|   0.1        0.9   |

    |--------->--------|

The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.

Transition matrix:

     |  LEFT   |  RIGHT  |

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

LEFT  |   0.8   |   0.2   |

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

RIGHT |   0.1   |   0.9   |

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

The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.

If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.

Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).

To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]

Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.

To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.

No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.

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Based on the number of members and the ratio in which they chose the types of film, the number who chose Action in the second week more than the first week is 6 people.

Assuming that the number of members is 99 members, the number who chose Action on the second week were:

= (7 / (5 + 7 + 6)) x 99

= 39 people

The number who chose Action in the first week:

= (5 / (2 + 5 + 8)) x 99

= 33

The difference is:

= 39 - 33

= 6 people

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The appropriate test tool to use on a calculator for this problem is a one-sample proportion z-test. In this problem, we are comparing the proportion of students at the city community college who received financial aid (p) to the national rate (0.77).

We want to determine if the proportion at the city community college is significantly lower than the national rate.

Since we have the sample proportion (71%), we can conduct a one-sample proportion test. The conditions for normality are met because we have a simple random sample and both expected success (200) and expected failure (80) counts are greater than 10.

To perform the hypothesis test, we need to calculate the test statistic, which follows a standard normal distribution under the null hypothesis. The formula for the test statistic is:

z = (p₁ - p) / √(p(1-p)/n)

Where p₁ is the sample proportion, p is the hypothesized proportion under the null hypothesis, and n is the sample size.

By plugging in the values from the problem, we can calculate the test statistic. Once we have the test statistic, we can compare it to the critical value or calculate the p-value to make a decision.

In this case, since we are performing a left-tail test (HA: p < 0.77), we would compare the test statistic to the critical value at the 5% significance level or calculate the p-value and compare it to 0.05.

Therefore, the appropriate test tool to use on a calculator for this problem is a one-sample proportion z-test.

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2.18 is the right z-value to utilize for a level of confidence of 98.54%.

Assuming a two-sided confidence interval,

(100-98.54)/2 = 1.46

Lower percentile = 1.46%

In terms of the information that is provided, we have that the percentile is the 3-th percentile.

We need to find the z-score associated to this percentile. How do you we do so? We need to find the

value z* that solves the equation below.

P(Z < z*) = 0.0146

The value of z" that solves the equation above cannot be made directly, it solved either by looking at

a standard normal distribution table or by approximation (the way Excel or this calculator does)

Then, it is found that that the solution is z* = -2.18

Therefore, it is concluded that the corresponding z-score associated to the given 2nd percentile is

Z =-2.18

The results found above are depicted graphically as follows:

The Z-score z = -2.18 is associated to the 2nd percentile

Hence, lower interval Z-score =-2.18

Since the standard normal distribution is symmetric around 0,

Therefore, upper interval Z-score = 2.18

Appropriate z-value =2.18

Hence, the appropriate z-value to use for a 98.54% level of confidence is 2.18

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As per latent heat, size of 11.61 BTUH is required to complete the whole action.

Let's assume the ice was at 32° F. So, 144 BTU/lb is required as latent heat. To melt ice and make it 32°F water required BTU is:

10 × 144 = 1440 BTU ( m× l = H where m is the mass and l is the latent heat )

To, convert 10°F ice to 32°F ice required heat is,

10×0.5035× ( 32° - 10°) = 110.77 BTU ( H = msΔt, m= mass, s = specific heat of ice, and Δ t = difference in temperature which is, 32° - 10° = 22°)

Now, to convert 32°F water to 212°F water required heat is:

10×1×180 = 1800 BTU ( SPECIFIC HEAT OF WATER IS 1 and Δt = 212-32 = 180°F )

To covert 212°F water to 212°F steam the required heat is,

10 × 970 = 9700

Now, to convert 212°F steam to 400°F steam, the required heat is ;

10 × .47 × 188 = 883.6 BTU ( The specific heat if steam is .47, Δt = 188°F )

Now total heat is, 883.6 BTU +9700 BTU + 1800 BTU + 110.77 BTU + 1440 BTU = 13934 BTU

Required power to convert it within 20 min. or 1200 sec is,

13934/1200 = 11.61 BTUH.

We can now say that, if 10 pounds of ice starts at ten degrees and is changed to steam at 400 degrees in twenty minutes, 11.61 BTUH is required.

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Answer: 288 cubic centimeters

Step-by-step explanation:

ps||pr are parallel

pQR=Rsp

Answer:

X+m=y

M=1/1

You add 3, then 4, 5, 6

your slope (m) will be 1/1=1

1+3=4

2+4=6

3+5=8

4+6=10

5+7=12    

Hope this helps! Brainliest is appreciated :)

~Mitsuna

In the expression given as -5 - (-7) = -5 + x, the value of x is 7.

In Mathematics, expression simply means the mathematical statements which have at least two terms which are then related by an operator. It should be noted that they illustrate the relationship between the data given.

In this situation, it should be noted that the expression is given as:

-5 - (-7) = -5 + x

Collect like terms

-5 + 7 = -5 + x

x = -5 + 5 + 7

x = 7

The value of x is 7.

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Answer:

4

Step-by-step explanation:

8-4 is 4

To solve this problem, we can use the concept of the sampling distribution of the sample mean. The mean number of cups of coffee consumed in a day by all occupants is 2.0 with a standard deviation of 0.6.  Since the sample size is large (125 employees) and the population standard deviation is known, we can approximate the sampling distribution of the sample mean as a normal distribution.

The mean of the sampling distribution is equal to the population mean, which is 2.0 cups per day  Now, we need to calculate the z-score for the value of 240 cups per day using the formula:

z = (x - μ) / σ,

where x is the desired value (240 cups per day), μ is the mean of the sampling distribution (2.0 cups per day), and σ is the standard deviation of the sampling distribution (0.6 / sqrt(125)).

Plugging in the values, we have:

z = (240 - 2) / (0.6 / sqrt(125)) ≈ 58.01.

Finally, we can use a standard normal distribution table or a calculator to find the probability of obtaining a z-score greater than 58.01. However, since this z-score is extremely large, the probability will be very close to zero.

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Answer:2

Step-by-step explanation:

Answer:The constants are such entities which are not replaced or can not be changed but they remain the same for each object or entity or we can just say that the properties of any space given remains the same all the way from the start of any experiment of activity to the end of it.

Such as the mass,m , density,D, and the chemical bonding of the compounds and those objects under-consideration can not be changed or varied.  In this case the mass of the plan made out of a certain material its density,D etc can not be varied.

As the different properties can not be changed in any such way or mechanism, while there are certain factors which are termed as the designing of the objects and the entities which includes the factor of temperature,T , pressure,P and the volume,V of the vary entity under-consideration.

While, the two group of students are provided by the specific manner and number of materials.As these materials can be improved by using the more advance form of instruments, as long as the technology exists the students will be able to control the different errors and improving there quality of work, as each measurement and experimentation requires more accuracy and precision for measuring the different factors.

Step-by-step explanation:your welcome

The value of m + n comes out to be 37

In order to get p(a), Let's consider the probabilities of the events that Alex and Dylan can choose from the set {a, a + 9}, so there are 8 other cards that they can not pick. This can be written as:

P(Alex chooses a) = 2/50 = 1/25 as there are two cards in {a, a + 9}.

P(Dylan chooses a+9) = 2/49 (since there are now 49 cards left)

Conditional Probability

What is conditional probability? It is defined as the probability of how likely an event is supposed to happen given the probabilities of events before that.

Conditional Probability Formula

For our case, A is "Alex and Dylan in the same team," and B is "Alex chooses a and Dylan chooses a+9". Hence, we can write the required probability P(A|B) as:

P(A|B) = P(A and B) / P(B)

where P(A and B) = the probability that Alex and Dylan end up in the same team and Alex chooses a and Dylan chooses a+9.

P(B) = the probability that Alex chooses a and Dylan chooses a+9.

P(B) = P(Alex chooses a) * P(Dylan chooses a+9) = (1/25) * (2/49) = 2/1225

Now, let's find the probability of (A and B) i.e. the probability that Alex and Dylan end up in the same team and Alex chooses a and Dylan chooses a+9.

P(A and B) = P(Alex and Dylan end up in the same team and Alex chooses a and Dylan chooses a+9)

P(A and B) = P(Alex and Dylan end up in the same team and Alex and Dylan pick two cards less than or equal to a + 9) + P(Alex and Dylan end up in the same team and Alex and Dylan pick two cards greater than or equal to a + 10)

For Alex and Dylan to end up on the same team, Blair and Corey must pick two cards greater than a + 9.

Hence, the probability of this happening is the probability of Blair and Corey choosing two cards from the set {a + 10, a + 11, . . ., 52}, and this can be written as:

P(Blair and Corey pick 2 cards from the set {a + 10, a + 11, . . ., 52}) = [(52 - a - 9) C 2] / [(52 - a) C 2] = [(43 - a) C 2] / [(43 + a) C 2]

Now we need to find the minimum value of p(a) for which p(a) > 1/2 can be written as m/n, where m and n are relatively prime positive integers. Let's solve this part of the question. We will equate the above equation with 1/2 and solve for a.

In other words, we need to solve the following equation:

2[(a - 1) C 2 / (52 - a) C 2] + 2[(43 - a) C 2 / (43 + a) C 2] = 1

Here, we can use the factorials method to find the combination:

\({(a-1)\choose2} = \frac{(a-1)!}{2!(a-1-2)!}\)

which simplifies to

\(\frac{(a-1)(a-2)}{2!}\)

\({(52-a)\choose2} = \frac{(52-a)!}{2!(50-a)!}\)

which simplifies to

\(\frac{(52-a)(51-a)}{2!}\)

\({(43-a)\choose2} = \frac{(43-a)!}{2!(41-a)!}\)

which simplifies to

\(\frac{(43-a)(42-a)}{2!}\)

We get the equation:

\((a-1)(a-2)(43-a)(42-a) + (52-a)(51-a)(a-1)(a-2) = \frac{1}{2}*(52-a)(51-a)(43-a)(42-a)\)

= \((a-1)(a-2)[(43-a)(42-a) + (52-a)(51-a)] = \frac{1}{2}*(52-a)(51-a)(43-a)(42-a)\)

= \((a-1)(a-2)(a^2 - 95a + 2230) = \frac{1}{2}(a-10)(a-9)(a-44)(a-43)\)

Now we can see that for the minimum value of p(a) for which p(a) > 1/2 can be written as m/n, where m and n are relatively prime positive integers, we will have the value of p(a) just greater than 1/2 as that will give the minimum value that satisfies the condition.

Hence, we need to find the smallest value of a that satisfies this equation.

Now we can solve for a using the above equation. If we solve this equation, we get a = 19 or a = 35. We can then compute p(a) for both values of a using the formula we derived above. For a = 19, we get p(a) = 14/23, and for a = 35, we get p(a) = 13/23.

Hence, the minimum value of p(a) for which p(a) > 1/2 can be written as m/n, where m and n are relatively prime positive integers, is 14 + 23 = 14+23 = 37.

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