whats 50% of 1/2 of a mile

Evaluating Georgianna's claim using a hypothesis test.The claim is that the average child takes less than 5 years of piano lessons. Therefore, we use a one-tailed hypothesis test with a null hypothesis asH0: µ ≥ 5 versus the alternative hypothesis Ha: µ < 5.

Level of significance is not given, hence we can assume it to be 0.05. Calculating the test statistic as follows:$$t=\frac{\overline{x}-\mu }{s/\sqrt{n}}$$Substituting the given values in the above equation, we get$$t=\frac{4.6-5}{2.2/\sqrt{20}}$$So, t = -1.69, for a one-tailed test (left-tailed) and the degrees of freedom are n-1 = 19. Using the t-distribution table with α = 0.05 and 19 degrees of freedom, the critical value is -1.73, hence, -1.69 falls within the non-rejection region. Therefore, we cannot reject the null hypothesis. There is not enough evidence to support Georgianna's claim.b. Constructing a 95% confidence interval for the number of years students in this city take piano lessons, and interpret it in the context of the data.

The formula for confidence interval for a population mean is Interpretation: We can be 95% confident that the average number of years students in this city take piano lessons falls between 4.01 and 5.19 years.c. Explaining if the results from the hypothesis test and the confidence interval agreeYes, the results from the hypothesis test and the confidence interval agree because we cannot reject the null hypothesis in the hypothesis test. This means that the null hypothesis, H0: µ ≥ 5 is plausible. Further, the 95% confidence interval for the mean number of years students take piano lessons lies completely above the value of 5 years, which is Georgianna's claim. This is in line with the hypothesis test result. Thus, we can conclude that there is no sufficient evidence to support Georgianna's claim.

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Answer:

b = Y/2 - x/a

Step-by-step explanation:

Answer:

x = 125°

Step-by-step explanation:

There are 7 angles in this shape. The sum of the angles in a shape like this is calculated using a formula.

Total of angles

= (n - 2)•180°

Put in 7, because there are 7 angles.

= (7 - 2)•180°

= 5•180°

= 900°

So the total of the angles should be 900°. We know all of the angles except one.

900° = 123°+129°+128°+128°+132°+135°+ x

900° = 775° + x

Subtract 775.

125° = x

The missing angle is 125°.

Answer:

60 grams brudda

Step-by-step explanation:

Answer:

If there is a very weak correlation between two variables, then the coefficient of determination (R-squared) must be low as well.

This is because the coefficient of determination measures the proportion of variance in the dependent variable that can be explained by the independent variable(s).

When the correlation between the variables is weak, there is less variance in the dependent variable that can be explained by the independent variable(s), resulting in a lower R-squared value. So, the answer is "low".

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Asia is a chef in a restaurant. To prepare for dinner service, she chops 7 1/2 onions in 1/6 of an hour. Asia's rate of chopping onions is 30 onions per hour.

From the information given;

So, the onion is given in mixed fraction which can be converted to an improper fraction as: \(\mathbf{\dfrac{15}{2}\ onions}\)

Now,

We can cross multiply the above two equations to determine the number of onions Asia will chop per hour as follows:

\(\mathbf{(x) \times \dfrac{1}{6} \ hours = \dfrac{15}{2} \ onions \times 1 \ hour}}\)

Making (x) the subject of the formula:

\(\mathbf{(x)=\dfrac{ \dfrac{15}{2} \ onions \times 1 \ hour}{ \dfrac{1}{6} \ hours }}}\)

\(\mathbf{(x)={ \dfrac{15}{2} \ onions } \times { \dfrac{6}{1} }}}\)

(x) = 15 onions × 3

(x) = 30 onions per hour.

Therefore, Asia's rate of chopping onion is 30 onions per hour.

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If Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.

Applying the knowledge of proportion and fractions, we can determine Asia's chopping rate of onions per hour.

Given:

Using proportion, we have the following:

\(7\frac{1}{2} = \frac{1}{6} \\\\x = 1\)

\(\frac{1}{6} \times x = 7\frac{1}{2} \times 1\\\\\frac{x}{6} = \frac{15}{2}\)

\(\frac{x}{6} = \frac{15}{2}\\\\x = \frac{15}{2} \times 6\\\\x = 45\)

Therefore, if Asia chops 7 1/2 onions in 1/6 hour, therefore, using proportion, the rate of chopping onions per hour is: 45 onions per hour.

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Answer:

B

Step-by-step explanation:

I'm pretty confident that it is B

There is ''No solution'' of the expression |x| + 7 < 4.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ |x| + 7 < 4

Now, We can solve the expression as;

The expression is,

⇒ |x| + 7 < 4

Subtract 7 both side;

⇒ |x| + 7 - 7 < 4 - 7

⇒ |x| < - 3

Hence, The expression has no solution.

Thus, There is ''No solution'' of the expression  |x| + 7 < 4.

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It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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The confidence intervals created using the percentile method and the standard error method are not exactly the same for two reasons:

First, the two methods are based on different assumptions about the population distribution of the sample. Second, the percentile method and the standard error method use different formulas to compute the confidence intervals. The standard error method assumes that the population is normally distributed, while the percentile method does not make any assumptions about the distribution of the population. As a result, the percentile method is more robust than the standard error method because it is less sensitive to outliers and skewness in the data. The percentile method calculates the confidence interval using the lower and upper percentiles of the bootstrap distribution, while the standard error method calculates the confidence interval using the mean and standard error of the bootstrap distribution.

Since the mean and percentiles are different measures of central tendency, the confidence intervals will not be exactly the same.

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Yes, if a ≡ b (mod m) and c ≡ d (mod m), then a − c ≡b − d (mod m).

To prove this, let a, b, c, d, and m be integers with m ≥ 2. Since a ≡ b (mod m), there exists an integer k such that a - b = km. Similarly, since c ≡ d (mod m), there exists an integer l such that c - d = lm.

Therefore, a - c = (a - b) + (c - d) = km + lm = (k + l)m.

So, a - c ≡ b - d (mod m) because a - c - (b - d) is divisible by m.

This proves that if a ≡ b (mod m) and c ≡ d (mod m), then a − c ≡b − d (mod m).

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Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

The outer surface area of the ice coating on a spherical iron ball is decreasing at a rate of approximately 57.636 square centimeters per minute when the outer diameter (ball plus ice) is 146 cm.

To find the rate at which the outer surface area of the ice coating is decreasing, we need to use the concept of related rates. Let's denote the radius of the iron ball as "r" and the thickness of the ice coating as "h." The outer diameter of the ball plus ice is then given as 2r + 2h, which is equal to 146 cm in this case.

We know that the volume of the ice coating is equal to the volume of the spherical shell formed between the outer and inner surfaces of the ice coating. The volume of this shell can be expressed as V = 4/3π((r + h)^3 - r^3).

Since the ice melts at a rate of 39 ml/min, which is equivalent to 39 cm^3/min, we can differentiate the volume equation with respect to time to obtain dV/dt. This represents the rate at which the volume of the ice coating is changing.

To find the rate at which the outer surface area of the ice coating is decreasing, we need to find dA/dt, where A represents the outer surface area. We can relate dA/dt and dV/dt by using the formula for the surface area of a spherical shell: A = 4π(r + h)^2.

By substituting the given values into the equations and differentiating, we can solve for dA/dt. The resulting value will be approximately 57.636 square centimeters per minute, rounded to the nearest thousandth. This indicates the rate at which the outer surface area of the ice coating is decreasing when the outer diameter (ball plus ice) is 146 cm.

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Answer:

2

Step-by-step explanation:

square root of 10 is 100.

10-8=2

I think the number x is 2 because the square root of 100 is 10 and since we know she added 8 before squaring it, it has to be 2

The spherical coordinates for point (a) are (ρ, θ, φ) = (√128, π/2, arc cos(-1/√2)). The spherical coordinates for point (b) are (ρ, θ, φ) = (√331826, π + arctan(-1), arccos(576/√331826)).

Let's begin with the two given points, (a) (0, 8, -8) and (b) (-5, 5, 576).

For converting rectangular coordinates (x, y, z) to spherical coordinates (ρ, θ, φ), we'll use the following formulas:

1. ρ = √(x² + y² + z²)
2. θ = arctan(y/x)
3. φ = arccos(z/ρ)

(a) Converting (0, 8, -8) to spherical coordinates:

1. ρ = √(0² + 8² + (-8)²) = √(64 + 64) = √128
2. θ = arctan(8/0) (undefined since division by zero, so we'll use θ = π/2 for y > 0)
3. φ = arc cos((-8)/√128) = arc cos(-1/√2)

So, the spherical coordinates for point (a) are (ρ, θ, φ) = (√128, π/2, arccos(-1/√2)).

(b) Converting (-5, 5, 576) to spherical coordinates:

1. ρ = √((-5)² + 5² + 576²) = √(25 + 25 + 331776) = √331826
2. θ = arctan(5/(-5)) = arctan(-1) (since it's in the second quadrant, we'll use θ = π + arctan(-1))
3. φ = arccos(576/√331826)

So, the spherical coordinates for point (b) are (ρ, θ, φ) = (√331826, π + arctan(-1), arccos(576/√331826)).

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Answer:

E

Step-by-step explanation:

NO

The histrogram that best represents the data collected by the surfer is "A histogram titled Tides For 15 Days with an x-axis labeled Measurement ...  There is a shaded bar above 1 to 5 that stops at 2, above 6 to 10 that stops at 4" (First option).

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Answer:

Hey there!

Triangle PQT and RQT are congruent by AAS. AAS means that one side is congruent, and two angles are congruent.

Since these triangles share one side, then the side is congruent.

PR is a straight line, so if angle Q is 90 degrees, then the supplementary angle is also 90 degrees.

Finally, the diagram shows that angles R and P are congruent to each other.

Hope this helps :)

The appropriate alternative hypothesis is the opposite of null hypothesis that there is a difference in mean SSHA scores between men and women.

The alternative hypothesis is the opposite of the null hypothesis, which is typically stated as there being no difference between the two groups. In this example, the null hypothesis is that there is no difference in mean SSHA scores between men and women. The alternative hypothesis is then that there is a difference in mean SSHA scores between men and women. This can be stated as "There is a difference in mean SSHA scores between men and women". This is the appropriate alternative hypothesis for this test of significance.

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Answer:

A lower price and quantity would result.

Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Answer:

Step-by-step explanation: bép lép sép tao tât sgayx dép ok

There is a taxi driver Aiden and he uses M(n) model to determine the money he earned from each drive. As n stands for the drive number, the statement  M(8)<M(4) means that Aiden's fee for the  \(8^t^h\) drive is less than for his \(4^t^h\)  drive.

We know that Aiden is a taxi driver and he uses his M(n) model to find the amount he earned from each drive. In his M(n) model n signifies the drive number.

Given that M(8)<M(4):

In the above statement, M(8) stands for the \(8^t^h\) drive of Aiden, and M(4) stands for the \(4^t^h\) drive of Aiden.

By using his M(n) model, we can conclude the statement  M(8)<M(4) that Aiden earned more money for his \(4^t^h\) drive than he earned for his \(8^t^h\) drive.

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The complete question is:

Aiden is a taxi driver.

M(n) models Aiden's fee (in dollars) for his \(n^t^h\)drive on a certain day.

What does the statement M(8)<M(4), mean?

The expected value of the bet is -15.693

According to the question we have been given that

If we draw a card with value 5 or less, we will be payed = 57

If failed to draws cards, we have to pay = 48

Now first we will find the probability of drawing cards with value less than or equal to 5.

Cards with value less than five are : 2,3,4,5

Total number of cards will be 16.

Probability = 16/52

Also number of cards with values greater than five is 36

Probability = 36/52

Thus the expected value of the bet will be

   = 57*(16/52) + (-48)*(36/52)    [ negative sign as we have to pay if we loose to draw the required card]

   = 17.538 - 33.231

   = -15.693

Hence the expected value is -15.693

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The correct answer is D \(\frac{45a^{16}c^{34}}{b^{27}}\)

The expression can be found as follows:

\((15a^{0}b^{2}c^{34})(3a^{16}b^{-29}c^{0})\)

Remember the number powered by 0 is 1

\((15(1)b^{2}c^{34})(3a^{16}b^{-29}(1))\)

Multiply the coefficients.

\(45 b^{2} c^{34} a^{16}b^{-29}\)

Calculate by adding the power in the same coefficients

\(45 b^{2-29} c^{34} a^{16}\)

Simplify

\(45 a^{16}b^{-27} c^{34}\)

The negative power can be written as the denominator

\(\frac{45a^{16}c^{34}}{b^{27}}\)

Hence the correct answer is D. \(\frac{45a^{16}c^{34}}{b^{27}}\)

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Answer:

−

3

+

9

=

6

−

2

+

5

=

1

0

Answer:

Step-by-step explanation:

∠ADE =  74   {Vertically opposite angles are equal}

∠AED + 127 = 180  {Straight line }

∠AED = 180 - 127

∠AED = 53

In ΔADE,

∠DAE + ∠AED + ∠ADE = 180 {angle sum property of triangle}

∠DAE + 53 + 74 = 180

∠DAE + 127 = 180

∠DAE = 180 -127

∠DAE = 53

Answer:

$90

Step-by-step explanation:

Let x = original cost

20% of x is $18

0.2x = 18

divide both sides by 0.2

x = 90

Answer: $90