A car maker claims that its new sub-compact car gets better than 47 miles per gallon on the highway. Determine whether the hypothesis test is left-tailed, right-tailed or two-tailed.

Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

The length of Raj's string is 54 in long.

A dot chart or dot plot is a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles. There are two common, yet very different, versions of the dot chart.

Given that, Kiki has a piece of string that she cuts into smaller pieces. This line plot shows the lengths of the pieces. Raj has a piece of string that is 12 as long as Kiki's third-longest piece.

The third-longest piece = 4 1/2 in

The length of Raj's string = 4 1/2 x 12 = 9/2 x 12 = 54

Hence, the length of Raj's string is 54 in long.

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Answer:

\( y = \frac{1}{6}x - 5 \)

Step-by-step explanation:

The equation that represents the road can be written as \( y = mx + b \)

Find, m = slope, and b = y-intercept of the line.

Using two points on the line, (-6, -6) and (6, -4), find the slope:

\( slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-6)}{6 -(-6)} = \frac{2}{12} = \frac{1}{6} \)

Substitute x = -6, y = -6, and m = ⅙ into \( y = mx + b \) to find b.

\( -6 = \frac{1}{6}(-6) + b \)

\( -6 = -1 + b \)

Add 1 to both sides

\( -6 + 1 = b \)

\( -5 = b \)

Substitute m = ⅙, and b = -5 into \( y = mx + b \).

✅The equation that represents the road would be:

\( y = \frac{1}{6}x + (-5) \)

\( y = \frac{1}{6}x - 5 \)

Answer:

30.48 cm

Step-by-step explanation:

One foot has 12 inches. To find number of centimeters in a foot, multiply 12 by 2.54 and we get 30.48 cm.

Question

A student solved this problem and said the answer was \(5\frac{1}{4}\) miles. Danielle ran \(3\frac{1}{8}\) miles on Tuesday, \(4\frac{1}{2}\) miles on Wednesday, and \(5\frac{1}{4}\) miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?

- No, the answer is not reasonable. It should be about 13 miles.

- Yes, the answer is reasonable.

- No, the answer is not reasonable. It should be about 2 miles.

- No, the answer is not reasonable. It should be about 20 miles.

Answer:

- No, the answer is not reasonable. It should be about 13 miles.

Step-by-step explanation:

Given

Student solution = \(5\frac{1}{4}\) miles.

Miles covered on Tuesday = \(3\frac{1}{8}\) miles

Miles covered on Wednesday = \(4\frac{1}{2}\) miles

Miles covered on Thursday = \(5\frac{1}{4}\) miles

Required

- Total distance covered by the student

- Is the student answer reasonable?

To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,

This goes thus

Distance = \(3\frac{1}{8}\) + \(4\frac{1}{2}\) + \(5\frac{1}{4}\)

Convert to Improper Fractions

Distance = \(\frac{25}{8}\) + \(\frac{9}{2}\) + \(\frac{21}{4}\)

Take LCM

Distance = \(\frac{25 + 36 + 42}{8}\)

Distance = \(\frac{103}{8}\)

Distance = 12.875

From the calculations above, we can conclude that the student's answe is not reasonable because his calculation (\(5\frac{1}{4}\) miles) is much more smaller than the actual result 12.875 miles

From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.

Hence,

A. - No, the answer is not reasonable. It should be about 13 miles.

is the right answer

Answer:

You may not recognize this...but the base forms a "Pythagorean"  right triangle  with legs  of  6 and 8  cm

The area of a right triangle is  (1/2)  ( product of leg lengths)

So...the area of the base   = (1/2) (6 * 8 ) = (1/2) 48  = 24 cm^2

And the volume of the prism is just the   base area  x  height =   24  x  7  =   192 cm^2

Step-by-step explanation:

Pan tool do the data analyst use to select the area on the map representing Finland.    

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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a) The expected number of people to die before their 71st birthday is given as follows: 128.

b) The probability that a 67 year old woman will live to her 68th birthday is given as follows: 0.8876 = 88.76%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

0.025679 of the 70 year old men die, hence the expected number out of 5000 is given as follows:

0.025679 x 5000 = 128.

The probability for item b is given as follows:

0.016798/0.018925 = 0.8876 = 88.76%.

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We can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).

So, we know that the equation is:

Now, calculate the equation when x = 2.

Now, we can conclude that:

Therefore, we can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).

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Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

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Answer:

y = 5x - 10

Step-by-step explanation:

Answer:

y=20/4x-10

Step-by-step explanation:

(3, 5) (-1, -15)

-15-5/-1-3=20/4x

y=-10

The probability that the child must wait at least 8 minutes for the bus on a given morning is 0.2636

To determine the probability that a child must wait at least 8 minutes for the bus on a given morning, given that the waiting time is exponentially distributed with a mean of 6 minutes, we'll use the exponential distribution formula:

\(P(T > t) = e^{(-t/μ)}\)

where T is the waiting time, t is the specific time we are interested in (8 minutes in this case), μ is the mean waiting time (6 minutes), and e is the base of the natural logarithm (approximately 2.71828).

Step 1: Plug in the values into the formula:

\(P(T > 8) = e^{(-8/6)}\)

Step 2: Simplify the exponent:

\(P(T > 8) = e^{(-4/3)}\)

Step 3: Calculate the probability using the value of e:

\(P(T > 8) ≈ 2.71828^{(-4/3)} ≈ 0.2636\)

Therefore, the probability that the child must wait at least 8 minutes for the bus on a given morning is approximately 0.2636, which corresponds to option (a).

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14.84 pounds of dried apricots were used and 10.16 pounds of dried prunes were used to produce 25 pounds of the dried fruit mixture.

Let's call the weight of dried apricots used in the mixture "x" (in pounds). Then the weight of dried prunes used in the mixture is 25 - x (in pounds).

The cost per pound of dried apricots is 3.25, and the cost per pound of dried prunes is 4.79. So the total cost of the mixture is:

3.25x + 4.79(25 - x) = 3.25x + 119.75 - 4.79x

Expanding both sides:

119.75 = 8.04x

Dividing both sides by 8.04:

x = 14.84 pounds

So 14.84 pounds of dried apricots were used in the mixture, and 25 - 14.84 = 10.16 pounds of dried prunes were used in the mixture.

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14.84 pounds of dried apricots were used and 10.16 pounds of dried prunes were used to produce 25 pounds of the dried fruit mixture.

Let's call the weight of dried apricots used in the mixture "x" (in pounds). Then the weight of dried prunes used in the mixture is 25 - x (in pounds).

The cost per pound of dried apricots is 3.25, and the cost per pound of dried prunes is 4.79. So the total cost of the mixture is:

3.25x + 4.79(25 - x) = 3.25x + 119.75 - 4.79x

Expanding both sides:

119.75 = 8.04x

Dividing both sides by 8.04:

x = 14.84 pounds

So 14.84 pounds of dried apricots were used in the mixture, and 25 - 14.84 = 10.16 pounds of dried prunes were used in the mixture.

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The range is 250 calories and the standard deviation is 57.5 calories.

In a neighbourhood donut shop, one type of donut has 440 calories, five types of donuts have 350 calories, seven types of donuts have 530 calories, five types of donuts have 330 calories, and five types of donuts have 580 calories

The formula for the range is given by;`

range = maximum value - minimum value`

The minimum value in this case is 330 and the maximum value is 580Therefore, `range = 580 - 330 = 250`

The formula for standard deviation is given by;`s = sqrt [Σ(x - µ)² / N]`

where Σ is a symbol of summation, x is the value, µ is the mean, N is the number of data and s is the standard deviation.

Calculate the mean (µ)`µ = Σ fx / N = 11960 / 23 ≈ 520.87`Substitute the values in the formula above and calculate;

Calories (x)fx(x - µ)² 3301750(-190.87)² 3501750(-170.87)² 440440(-80.87)² 5303710(9.13)² 5802900(59.13)²Total = 352191.55`s = sqrt (352191.55 / 23)≈ 57.5 calories

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Answer:

y = 2x^2 + 8x - 24

Step-by-step explanation:

This is a "working backwards" kind of a problem. You know the solution (the x-intercepts) and work backwards to find the equation. See image.

Answer:

y=0,4 and x=8,0

The x and y-intercept of the linear equation 3x + 6y = 24 will be (8,0) and (0,4) respectively.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given linear function,

3x+6y=24

At x-intercept, y = 0

3x = 24

x = 8 thus it will be (8,0).

At y-intercept , x = 0

6y = 24

y = 4 thus it will be (0,4)

Hence "The linear equation 3x + 6y = 24 will have x-intercepts of (8, 0) and (0, 4) correspondingly".

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The overall value represents the degree of deviation between the observed and expected frequencies and is used to determine the p-value for the Chi-Square test statistic. Therefore, the correct option is (d) adding.

In a contingency table analysis, the chi-square test is used to determine whether there is a significant association between two categorical variables. The test involves comparing the observed frequencies in each cell of the table with the frequencies that would be expected if the variables were independent.

To calculate the chi-square test statistic, we first compute the expected frequencies for each cell under the assumption of independence. We then calculate the difference between the observed and expected frequencies for each cell, square these differences, and divide them by the expected frequencies to get the cell chi-square values.

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Answer:

0

Explanation:

Area of a square is expressed as;

A = L^2

L is the side length of the square

Given]Area A = 100m^2

Substitute inti= the formula

A < L^2

100 < L^2

L^2 > 100

L > \sqrt[100]

L > 10

Hence the range for the graph of the square's side is 0

A different term for a quadratic function's zeros is "roots." The zeros or roots of a quadratic function are the points on the x-axis where the function meets or crosses it.

They stand in for the x values at which the quadratic function equals zero. Depending on the discriminant of the quadratic equation, the zeros or roots of a quadratic function can either be real or complex integers. The quadratic has two unique real roots if the discriminant is positive. The quadratic has a single real root, also referred to as a double root or repeating root, if the discriminant is zero. The quadratic has two complex roots that can be represented as a + bi if the discriminant is negative.

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The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Match the Vocab Word to the definition

1. Addition Property of Equality

2. Subtraction Property of Equality

3. Multiplication Property of Equality

4. Division Property of Equality

Order property refers to situation of changing the order of the factors. swapping the positions of the addends still maintain the answer

For instance commutative property of addition

commutative property of multiplication

The properties of equality refers to performing same operation in the opposite sides of an equation

Addition Property of Equality: here c is added to both sides of the equality such that a = b, then a + c = b + c

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Answer:

n = 20

Step-by-step explanation:

Sum of an arithmetic series

\(S_n=\dfrac{n}{2}(a+l)\)

where:

Given:

Substituting the given values into the formula and solving for n:

\(\implies 640=\dfrac{n}{2}(25+39)\)

\(\implies 640 \cdot 2=n(25+39)\)

\(\implies 1280=n(25+39)\)

\(\implies 1280=64n\)

\(\implies n=\dfrac{1280}{64}\)

\(\implies n=20\)

Answer:

1/2

Step-by-step explanation:

turn 2/7 into 4/14 then subtract that from 11/14 and you get 7/14 and the also can go as 1/2

Answer:

29 feet

Step-by-step explanation:

14 × 3 = 42

100 - 42 = 58

58 ÷ 2 = 29

One of the longer chains is 29 feet long.

Hope this helps.

Answer:

13 one answer is 212+22−82 pls add me brainliest

Answer:

To solve the inequality |h + 3| < 5, we need to consider two cases, depending on whether the expression inside the absolute value bars is positive or negative:

Case 1: h + 3 >= 0

If h + 3 >= 0, then we can remove the absolute value bars without changing the inequality:

h + 3 < 5

Subtracting 3 from both sides, we get:

h < 2

So the solution for this case is h < 2.

Case 2: h + 3 < 0

If h + 3 < 0, then the inequality becomes:

-(h + 3) < 5

Multiplying both sides by -1 (and reversing the inequality), we get:

h + 3 > -5

Subtracting 3 from both sides, we get:

h > -8

So the solution for this case is h > -8.

Putting these two solutions together, we have:

-8 < h < 2

Therefore, the solution set in set-builder notation is:

{h | -8 < h < 2}