Suppose we have a random variable X where the probability associated with the value (19) (-37)"(.63)10-k for k = 0,..,10. What is the mean of X? + (A) 0.37 (B) 0.63 (C) 3.7 (D) 6.3 (E) None of the above

The probability that less than half of the sample will say that they support the increase is given as follows:

0.0885 = 8.85%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

n = 500, p = 0.53.

Hence the mean and the standard error are given as follows:

Hence the probability of less than half is the p-value of Z when X = 0.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (0.5 - 0.53)/0.0223

Z = -1.35

Z = -1.35 has a p-value of 0.0885.

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Answer:

-75

Step-by-step explanation:

WIthdrew = Negative

-33 - 42 = -75

Answer: $-9

Step-by-step explanation:

$33-$42 = $-9

I believe that is the answer

Answer: We can start by using the proportion method to find the number of girls in the class.

If the ratio of girls to total students is 4:7, that means for every 4 girls, there are 7 students in total. We can set up a proportion:

4/x = 7/21

where x is the number of girls in the class.

To solve for x, we can cross-multiply and get:

4* 21 = 7* x

84 = 7x

Dividing both sides by 7 gives:

x = 12

So there are 12 girls in the class.

Step-by-step explanation:

The region for which the differential equation\((x^2 + y^2) y' = y^2\) has a unique solution through a point (x0, y0) is the entire xy-plane excluding the origin (0, 0).

To determine the region where the given differential equation (\(x^2 + y^2\)) y' = \(y^2\) has a unique solution through a point (x0, y0), we consider the conditions for existence and uniqueness of solutions.

In this case, the differential equation is defined for all points in the xy-plane except for the origin (0, 0). This is because the equation becomes undefined when either \(x^2 + y^2\)= 0 or \(y^2\)= 0.

Therefore, the region of the xy-plane where the differential equation has a unique solution through a given point (x0, y0) is the entire xy-plane excluding the origin. This means that for any point (x0, y0) where x0 and y0 are not both zero, there exists a unique solution to the differential equation that passes through that point. At the origin (0, 0), the differential equation is not defined, and there may be other solutions that cannot be determined solely from the given equation.

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Answer:z<6

Step-by-step explanation: z + 2 < 8

z + 2 < 8

   -2     -2

z<6

Answer:

Slope is 4/3 and y intercept is (0,0)

Step-by-step explanation:

Answer:

this is your answer

\( {9}^{4} \)

\(\large{\sf \boxed{(\sf -3)^8}}\)

\(\rightarrow \sf ((-3)^2)^4\)

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

\(\rightarrow \sf (-3)^8\)

The soccer ball reaches a maximum height of approximately 34.8 feet.

The parametric equations for the motion of the soccer ball are:

x(t) = 39*cos(44°)t ≈ 26.9t

y(t) = \(39\sin(44)*t - 16t^2\) ≈ \(22.7t - 16t^2\)

where t is the time elapsed since the ball was kicked.

To find the maximum height of the ball, we need to find the vertex of the parabolic trajectory given by y(t).

The maximum height occurs at the vertex, which is at the time t = -b/2a, where a = -16 and b = 39*sin(44°).

So, t = -b/2a ≈ 1.1 seconds.

Substituting this value of t into the equation for y(t), we get the maximum height:

y(max) = \(39*\sin(44)1.1 - 16(1.1)^2 = 34.8 feet.\)

Therefore, the soccer ball reaches a maximum height of approximately 34.8 feet.

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Answer:

1 mile

Step-by-step explanation:

Jamal's Distance = 3 miles

Since Brendan lives 2 miles closer than Jamal, you do 3 - 2 = 1

Since Jamal lives 1 mile closer than Aisha, you do 3 - 1 = 2

Then, you do 2 - 1

Answer: 1

Answer:

y = -5/2x + 1

Step-by-step explanation:

y=mx+b

m is slope

b is y intercept

Answer:

(-2, 6)

(0,1)

(2,-4)

Step-by-step explanation:

It where the line meets the graph but like where the line meets equally together with other lines

formula (x,y)

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{9}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{1}}} \implies \cfrac{ -1 }{ 7 } \implies - \cfrac{1 }{ 7 }\)

The area of the triangle with side lengths 9, 8, and 8 is approximately 20.630 square units. To find the area of a triangle with side lengths a = 9, b = 8, and c = 8, we can use Heron's formula.

Heron's formula states that the area of a triangle with side lengths a, b, and c is given by the square root of s(s - a)(s - b)(s - c), where s is the semiperimeter of the triangle.

The semiperimeter, s, is calculated by adding the lengths of all three sides and dividing by 2. In this case, s = (a + b + c)/2 = (9 + 8 + 8)/2 = 25/2 = 12.5.

Using Heron's formula, the area of the triangle is given by:

A = √(s(s - a)(s - b)(s - c))

Substituting the given values, we have:

A = √(12.5(12.5 - 9)(12.5 - 8)(12.5 - 8))

Simplifying the expression inside the square root:

A = √(12.5 * 3.5 * 4.5 * 4.5)

Calculating the product:

A = √(425.625)

Rounding the result to three decimal places, we have:

A ≈ 20.630

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a) The selling price of the skis is $79.80.

b) The final price is 140% of the original price.

c) The percent increase from the original price to the final price is 40%.

a) Calculation of selling price:

Markup rate is 40%

Original cost = $57

Selling price = (100% + Markup percentage) × Original cost

Selling price = (100% + 40%) × $57

Selling price = 1.4 × $57

Selling price = $79.80

b) Calculation of percentage of the original price that is the final price

Percentage of original price that is the final price = (Final price / Original price) × 100%

Percentage of original price that is the final price = ($79.80 / $57) × 100%

Percentage of original price that is the final price = 140%

c) Calculation of the percentage increase

Percentage increase = (Final value − Initial value) / Initial value × 100%

Percentage increase = ($79.80 − $57) / $57 × 100%

Percentage increase = $22.80 / $57 × 100%

Percentage increase = 40%

Therefore, The store charges $79.80 for the skis. The final price is 140% of the original price and the percent increase from the original price to the final price is 40%.

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Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

The statement "Consistent system of equations has at least one solution, and an inconsistent system has no solution" is true.

In the context of systems of linear equations, a consistent system refers to a system where there exists at least one solution that satisfies all the equations in the system. This means that the equations can be simultaneously satisfied by a set of values for the variables.

On the other hand, an inconsistent system refers to a system of equations that has no solution. This occurs when the equations are contradictory or cannot be satisfied simultaneously by any values for the variables.

Therefore, a consistent system guarantees the existence of at least one solution, while an inconsistent system does not have any solution.

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Answer:

x=1

Step-by-step explanation:

-16+x=-15

-16+x+16=-15+16   Add the terms to both sides of the equation.

After that you simplify.

Using the concept of probability, the probability that the first experiment is successful is 70.97%

To calculate the probability that the first experiment is successful, we use the relation thus :

Inserting the values into the formula :

Therefore, the probability value is 70.97%

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5 types of cubical are: dedicated, Private office, L-shaped, circular, High walled cubicles

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The solution to the inequality is:

x ∈ (-∞, -21].

The correct option is F.

To solve the given inequality, we'll first simplify the expression:

23 < 3x - 3 ≤ -66

To simplify the inequality,

23 < 3x - 3 ≤ -66

Adding 3 to all parts of the inequality:

23 + 3 < 3x - 3 + 3 ≤ -66 + 3

Simplifying:

26 < 3x ≤ -63

Next, divide all parts of the inequality by 3:

26/3 < 3x/3 ≤ -63/3

Simplifying:

8.67 < x ≤ -21

Therefore, the solution to the inequality is:

x ∈ (-∞, -21]

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Answer: -15

Step-by-step explanation:

Answer:

Compare the treatment of the buffalo by these two groups of people.

Step-by-step explanation:

Native Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremoniesNative Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremonies

Answer:

128 cm²

Step-by-step explanation:

given the scale factor of sides = 3 , then

ratio of surface area = 3² = 9

then the surface area of the smaller pyramid is

1152 cm² ÷ 9 = 128 cm²

Answer:

its 2

Step-by-step explanation:

In this problem, a researcher wants to estimate the number of households with two cars with 95% confidence and a margin of error of 5%. The researcher also knows that a previous study showed that 22% of households had two cars. The possible answers are 4, 339, and 186.

To answer this question, we need to use the formula for sample size calculation: n = (Z^2 * p * q) / E^2, where n is the sample size, Z is the Z-score for the desired level of confidence (in this case, 1.96 for 95% confidence), p is the estimated proportion of the population with the characteristic of interest (in this case, 0.22), q is the complement of p (q = 1 - p), and E is the desired margin of error (in this case, 0.05). Plugging in these values gives us n = (1.96^2 * 0.22 * 0.78) / 0.05^2, which simplifies to n = 186.

Therefore, the correct answer is (c) 186. This means that the researcher needs to survey 186 households to estimate the number of households with two cars with 95% confidence and a margin of error of 5%.

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Answer:

cos B = 0.4706

Step-by-step explanation:

The cosine of an angle in a right-angled triangle is the ratio of its adjacent side and the hypotenuse, so:

 \(cos B = \frac{adjacent}{hypotenuse}\\\\cos B = \frac{8}{17} \\\\cos B = 0.4706\)

Option B

The kind of transformation which converts the graph of f(x)  into the graph of g(x) is vertical shrink .

What is transformation in graph?

A graph transformation is a procedure that modifies an existing graph or graphed equation to create different version of the following graph.

It is given that the functions are :

f(x) = -9(x+6)2 - 3

g(x) = -9(x-4)2 - 3

We know that if we perform transformation that meant the graph of f(x) is transformed into the graph of g(x).

i.e.,

f(x) = -9(x+6)2 - 3

f(x) = -18(x+6) - 3

f(x) = -18x - 128 - 3

f(x) = -18x - 72 - 56 - 3

f(x) = -9(x-4)2 - 3 - 56

f(x) = g(x) - 56

or g(x) =  f(x) + (-56)

So , as we are adding f(x), this suggests that the transformation is one of the vertical shrink type.

Therefore, the kind of transformation which converts the graph of f(x)  into the graph of g(x) is vertical shrink .

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The average price of a ticket for a team with 11 wins is about $51 more than a team with 3 wins.

We are given that;

Number of wins= 3

Now,

To find the average price for each number of wins. For 11 wins, we have:

y=850​(11)+31.25≈100.63

For 3 wins, we have:

y=850​(3)+31.25≈49.38

The difference between these two prices is:

100.63−49.38≈51.25

Therefore, by algebra the answer will be $51.

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While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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