suppose x1, x2, ... , x10 are independent random variables that are uniformly distributed on (0, 1). calculate the coefficient of variation of max{x1, x2, ... , x10}.

Answer: 7 years

Step-by-step explanation:

Let the number of years be x. Therefore, their ages in x years will be:

Daughter = x

Mother = 27+x

Father = 30+x

Their mean age will then be:

[x + (27+x) + (30+x)]/3 = 26

(3x + 57) / 3 = 26

Cross multiply

3x + 57 = 26 × 3

3x + 57 = 78

3x = 78 - 57

3x = 21

x = 21/3

x = 7

Therefore, the answer will be 7 years

Check: Daughter = x = 7 years

Mother = 27+x= 27+7 = 34 years

Father = 30+x = 30 + 7 = 37 years

Mean= (7+34+37) / 3 = 78/3 = 26 years

\(\boxed{\boxed{\pink{\bf \leadsto The \ co-ordinate\ of \ B \ is \ ( -1, -8) }}}\)

Given that, The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6). And we need to find the coordinates of B. We know Midpoint formula is :-

\(\large\boxed{\red{\bf Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) }}\)

Let the co ordinates of B be (x , y ) .

Now , on substituting the respective values ,we have :-

\(\bf\implies Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) \\\\\bf \implies (-4,-7) = \bigg( \dfrac{x -7}{2} , \dfrac{y-6}{2}\bigg) \\\\\bf \implies \dfrac{x -7}{2} = (-4) \\\\\bf \implies x - 7 = -8 \\\\\bf\implies x = -8+7 \\\\\boxed{\red{\bf \implies x = (-1) }}\)

\(\implies \bf \dfrac{y-6}{2} = -7 \\\\\bf\implies y-6=-14 \\\\\bf\implies y = 6 - 14 \\\\\boxed{\red{\bf\implies y = -8}}\)

Hence the value of x coordinate is (-1) and y - coordinate is (-8) .

Answer:

\(x_{1}\) = 0.847 or \(x_{2}\) = -1.180 (to the nearest thousandths place or 3 d.p.)

Step-by-step explanation:

Quadratic equation (I actually memorized this because it will not come in exams):

\(x= \frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

Instead of 2 options of the formula you can use the sign ± after the minus b to make it one equation (but I cannot do that in this Brainly equation output function thing)

\(x = \frac{-1+\sqrt{1^{2}-4(3)(-3) } }{2(3)}\) or \(x = \frac{-1-\sqrt{1^{2}-4(3)(-3) } }{2(3)}\)

\(x = \frac{-1+\sqrt{1-12(-3) } }{2(3)}\)  or \(x = \frac{-1-\sqrt{1-12(-3) } }{2(3)}\)

\(x = \frac{-1+\sqrt{1+36 } }{6}\)  or  \(x = \frac{-1-\sqrt{1+36 } }{6}\)

\(x = \frac{-1+\sqrt{37} }{6}\)  or \(x = \frac{-1-\sqrt{37 } }{6}\)

\(x_{1}\) = 0.84712708838 or \(x_{2}\) = -1.18046042172

\(x_{1}\) = 0.847 or \(x_{2}\) = -1.180 (to the nearest thousandths place or 3 d.p.)

Answer:

that means he will have 25.2

The temperature of the steam is 441.7 K.

A 1-m³ tank contains 2.1085 kg of steam at 0.6 MPa.

The gas constant, critical pressure, and critical temperature of steam are

R = 0.4615 kPa.m³/kg.K,

TCr = 647.1 K, and

PCr = 22.06 MPa.

Using data from the steam tables, let's find the temperature of the steam.

According to the steam table, the specific volume of the steam is 0.194 m³/kg at 0.6 MPa and 393.71 K. Since 1 m³ tank contains 2.1085 kg of steam, the total volume of steam is:

V = m/v

= (2.1085 kg)/(0.194 m³/kg)

= 10.8665 m³

The ideal gas equation of state is:

Pv = mRTor

T = PV/mR

Substituting the values we get:

T = (0.6 MPa)(10.8665 m³)/(2.1085 kg)(0.4615 kPa.m³/kg.K)

T = 441.7 K

Therefore, the temperature of the steam is 441.7 K.

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The equation of the tangent plane to the surface z=x²+4y² at the point P(3,2,5) is z=6x+16y-13.

Given, the equation of surface z = x² + 4y² and the point P = (3,2,5).Let us find the equation of tangent plane at point P.First, we need to find the partial derivatives of the surface with respect to x and y.Then, we can use the formula of the equation of the tangent plane.z = x² + 4y²

Differentiate with respect to x, keeping y constant.

∂z/∂x = 2x

Differentiate with respect to y, keeping x constant.

∂z/∂y = 8y

Now, we can use the formula for the equation of the tangent plane.

z - z₀ = ∂z/∂x (x - x₀) + ∂z/∂y (y - y₀)

where(x₀, y₀, z₀) = (3,2,5)

∂z/∂x = 2x

= 2(3) = 6

∂z/∂y = 8y

= 8(2) = 16

Now,

z - z₀ = 6(x - 3) + 16(y - 2)z - 5 = 6x - 18 + 16y - 32z = 6x + 16y - 13

Hence, the equation of the tangent plane to the surface z = x² + 4y² at the point

P = (3,2,5) is z = 6x + 16y - 13.

 the equation of the tangent plane to the surface z=x²+4y² at the point P(3,2,5) is z=6x+16y-13.

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Answer:

66cm

Step-by-step explanation:

i kniw

Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

c

Step-by-step explanation:

you cant go over the speed limit so s>70

Answer:

its c

Step-by-step explanation:

Answer:

Supplementary angles add up to 180°

180=7x-9+4x+3

180=7x+4x-9+3

180=11x-7

180+7=11x

187=11x

11x=187

x=187/11

x=17

Therefore x = 17

The null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

According to the facts provided, the allegation is that the card was recognized much more frequently than randomness would predict.

The proportion of card selected will be:

= 1/4

= 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

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Answer:

Step-by-step explanation:

-60 -60 -60 0 0

i didn’t realize u were chill like that

To determine the normal and shear stresses at point D, which act perpendicular and parallel to the grains, respectively, we require additional information such as the applied forces or loadings at that point.

The given question mentions the need to determine the normal and shear stresses at point D, which act perpendicular and parallel to the grains, respectively. However, to accurately calculate these stresses, we need more information about the system under consideration. Key details include the applied forces or loadings on the system, the material properties, and the specific orientation and arrangement of the grains at point D.

Normal stress, also known as axial stress, refers to the force per unit area acting perpendicular to the surface. Shear stress, on the other hand, represents the force per unit area acting parallel to the surface. The magnitudes and directions of these stresses depend on the applied forces, the geometry of the system, and the material properties.

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Answer:

Eighth half-hour

Step-by-step explanation:

Given pattern:

Calculate the differences between the number of bows used:

\(12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\)

Therefore, the pattern for the bows used is:

If the pattern continues:

\(12\underbrace{}_{-3}9\underbrace{}_{+5}14\underbrace{}_{-3}11\underbrace{}_{+5}16\underbrace{}_{-3}13\underbrace{}_{+5}18\underbrace{}_{-3}15\underbrace{}_{+5}20\)

Create a table with the given and found data, and add a cumulative total column:

\(\begin{array}{c|c|c}\vphantom{\dfrac12} \textsf{Half Hour} & \textsf{Bows used per half hour} & \sf Cumulative\; total\\\cline{1-3} \vphantom{\dfrac12} \sf 1st & 12 & 12\\\vphantom{\dfrac12} \sf 2nd &9 &21 \\\vphantom{\dfrac12} \sf 3rd & 14&35 \\\vphantom{\dfrac12} \sf 4th & 11& 46\\\vphantom{\dfrac12} \sf 5th & 16& 62\\\vphantom{\dfrac12} \sf 6th & 13& 75\\\vphantom{\dfrac12} \sf 7th &18 & 93\\\vphantom{\dfrac12} \sf 8th & 15& 108\\\vphantom{\dfrac12} \sf 9th & 20& 128\\\end{array}\)

If Clifford has a total of 100 bows, he will run out of bows during the eighth half-hour.

Answer:

B

Step-by-step explanation:

the sum of the roots = - \(\frac{b}{a}\)

x² + 6x - 55 = 0

with a = 1 , b = 6 , then

sum of roots = - \(\frac{6}{1}\) = - 6

The number of minutes Felipe should leave the bottle of water in the cooler is 27.7 minutes

From the question, we have the following function that can be used in our computation:

C(t) = 10 + 12e⁻⁰°⁰²⁵ˣ

Where:

Also from the question, we understand that Felipe wants to drink the water when it reaches a temperature of 16 degrees Celsius

This means that

C(t) = 16

Substitute C(t) = 16 in the above equation, so, we have the following representation

10 + 12e⁻⁰°⁰²⁵ˣ = 16

Evaluate the like terms

12e⁻⁰°⁰²⁵ˣ = 6

Divide both sides by 12

e⁻⁰°⁰²⁵ˣ = 0.5

Take the natural logarithm of both sides

-0.025t = ln(0.5)

So, we have

-0.025t = -0.693

Divide

t = 27.72

Approximate

t = 27.7

Hence, the number of minutes is 27.7 minutes

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According to the information, we can infer that the histograms indicate that female students tend to have a higher frequency of studying times compared to male students during the week prior to their AP tests.

By comparing the histograms, we can observe that the frequency of studying times for female students is generally higher across all time intervals compared to male students. Female students have a higher frequency in each category, indicating that they spend more time studying than male students during the week before the AP tests.

To further analyze the distributions, we can also consider the measures of center and variation. The measures of center, such as the mean or median, would provide insights into the typical studying time for each group. Additionally, measures of variation, such as the standard deviation or interquartile range, would indicate the spread or variability of studying times within each group.

Accoding to the above, based on the provided frequency distributions, it can be concluded that female students tend to dedicate more time to studying during the week prior to their AP tests compared to male students.

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Answer:

x=9*

Step-by-step explanation:

48*+(5x-3)*+90*=180*    (its is 180* because it is a line)

5x+135*=180*        (combine like terms)

-135*       -135*    (subtract 135*)

5x=45*       (divide by 5)

x=9*

dont mind the asterisks they are my degree signs

hope this helps

brainliest?

There is sufficient data to conclude that contemporary males are taller than 18th century males​ ,The p-value is less than 0.00001. There is sufficient data to reject the null hypothesis.

X = 70.1 represent the sample mean

σ = 2.52 represent the population standard deviation  

n = 30 is  sample size  

μ = 65.2 represent the value that we want to test

∝, represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

pₙ represent the p value for the test (variable of interest)  

We need to conduct a hypothesis in order to check if the mean is higher than 65.2, the system of hypothesis would be:  

Null hypothesis: μ ≤ 65.2

Alternative hypothesis: μ > 65.2

If we analyze the size for the sample is = 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t = X - μ / σ/√n = 10.65

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And the best conclusion for this case would be:

The p-value is less than 0.00001. There is sufficient data to reject the null hypothesis.

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$ 58.50

Step-by-step explanation:

because 39 Divided by 6 is 6.5 and 6.5 × 9 it's 58 50

a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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Answer:

452.39 sq.unit is the area of that circle.

Answer:

x = 43

Step-by-step explanation:

2x + 41 = 127. <— since they are vertical angels

- 41 = - 41

2x = 86

x = 43

(P.S- please do let me know if the answer was correct or not)

Answer:

4000

Step-by-step explanation:

9526-5326=4197

When rounded off gives 4000

Answer:

3.5 miles per hour

Step-by-step explanation:

7 miles ÷ 2

2 hours ÷ 2

=

3.5 miles

1 hour

=

3.5 miles

hour

= 3.5 miles per hour