What is the distance between (2, 5) and (2,-5) on the coordinate plane

The probability that of those 45 people sampled, between 33 and 36 of them own a cell phone is 0.2413

We have to solve for the  probability that of those 45 people sampled, between 33 and 36 of them own a cell phone

The standard deviation is given as

\(s = \sqrt{} \frac{P(1-p)}{n}\)

where we have p = proportion = 70% = 0.7

q = 1 - p

= 1 - 0.7

= 30 % = 0.3

s = \(\sqrt{\frac{0.7(1-0.7}{45} }\)

= 0.07

we are to find the interval of

P(33 ≤ x ≤ 36)

this would be written as

(33 / 45 - 0.70) / 0.07 < z < (36 / 45 - 0.70) / 0.07)

p(0.49 < z < 1.46)

we have to find the critical values of p(z < 0.49) and p(z < 1.46)

= 0.9284 - 0.68721

= 0.2413

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Answer:

first part: y=2.63x

second part: y=2.08x

Step-by-step explanation:

1) 7.90 / 3 = 2.633333 (I rounded to 2.63)

2) 18.70 / 9 = 2.07777 (I rounded to 2.08)

I hope this what you were asking

The cab ride for the 3.8 mile trip is $8.4 .

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

the points are (3, 7.90) and (9, 18.70)

y = mx + b

m = y2-y1/x2-x1

m = (18.70 - 7.90)/(9-3)

m = 10.8/6

m = 1.8

y = 1.8x + b

Put the values of x and y to find b ;

y = 1.8x + b

18.70 = 1.8(9) + b

10.5=8.75 + b

b=1.75

The equation of the line is y = 1.8x + 1.75

y=(1.8 X 3.8) + 1.75

y=6.65+1.75

y=8.4

Thus, The cab ride for the 3.8 mile trip is $8.4 .

The complete question is

A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70​. How much does a 3.8-mi cab ride cost?

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The instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

To find the points in the closed interval where the instantaneous rate of change of f equals the average rate of change of f, we need to set up the equation for the derivative of f and the formula for the average rate of change of f on the interval.

First, we can evaluate the integral to get:

f(x) = ∫x^2 0 (sin t) dt = 1 - cos x^2

Next, we can find the derivative of f:

f'(x) = sin x^2 * 2x

To find the average rate of change of f on the interval [0, √π], we can use the formula:

Average rate of change of f = [f(√π) - f(0)] / (√π - 0)

= [1 - cos π] / √π

= 2 / √π

Now, we can set up the equation:

f'(x) = 2 / √π

sin x^2 * 2x = 2 / √π

sin x^2 = 1 / (√π x)

We can solve for x numerically using a graphing calculator or computer software. The solutions are approximately x = 0.673 and x = 1.325. Since these solutions are within the interval [0, √π], they are valid solutions.

Therefore, the instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

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First solution :

Say, x = 0

→ 2x + 3y = 4

→ 2(0) + 3y = 4

→ 0 + 3y = 4

→ 3y = 4

→ y = 4/3

Second solution :

Say, x = 1

→ 2x + 3y = 4

→ 2(1) + 3y = 4

→ 2 + 3y = 4

→ 3y = 4 - 2

→ 3y = 2

→ y = 2/3

Third solution :

Say, x = 2

→ 2x + 3y = 4

→ 2(2) + 3y = 4

→ 4 + 3y = 4

→ 3y = 4 - 4

→ 3y = 0

→ y = 0 ÷ 3

→ y = 0

The value of the integral is 1/2. Your answer is: A. 1/2

the integral ∫(0 to ∞) x/(1+x²)² dx. Let's evaluate the integral and see which option fits:

The integral in question is:
∫(0 to ∞) x/(1+x²)² dx

To solve this integral, we can use the substitution method:
Let u = 1 + x². Then, du = 2x dx.

Now, we change the limits of integration:
When x = 0, u = 1 + 0² = 1.
When x -> ∞, u -> ∞.

Now, we substitute x and dx in the integral and update the limits:
∫(1 to ∞) (1/2) du/u²

This is an improper integral, so we have to take the limit as b -> ∞:
lim(b -> ∞) ∫(1 to b) (1/2) du/u²

Now, we integrate with respect to u:
lim(b -> ∞) [-1/2 * 1/u] evaluated from 1 to b

Now, evaluate the limit:
lim(b -> ∞) [-1/2 * (1/b - 1)]

As b -> ∞, 1/b -> 0:
-1/2 * (-1) = 1/2

So, the value of the integral is 1/2. Your answer is:
A. 1/2

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The correct characteristic that describes a proton is: a) approximate mass 1 amu; charge +1; inside nucleus.

A proton is a subatomic particle with a positive charge and a mass of approximately 1 atomic mass unit (amu). It is located inside the nucleus of an atom. Protons are fundamental particles found in all atomic nuclei and play a crucial role in determining the atomic number and identity of an element. Their positive charge balances the negative charge of electrons, creating a neutral atom.

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Answer:

m=0.8

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

1.4-0.6=m

We can say that {(und)"} 3" diverges because it is a geometric sequence with a common ratio of 3, which is greater than 1.

To determine whether the sequence {(und)"} 3" converges or diverges, we need to look at the behavior of the terms as n gets larger.

We can start by writing out the first few terms of the sequence:

{(und)"} 3" = 3, 9, 27, 81, ...

We can see that each term is simply the previous term multiplied by 3. This means that the sequence is a geometric sequence with a common ratio of 3.

In general, a geometric sequence with a common ratio r will converge if |r| < 1 and diverge if |r| ≥ 1.

In the case of {(und)"} 3", the common ratio is 3, which is greater than 1. Therefore, the sequence diverges.

To summarize, we can say that {(und)"} 3" diverges because it is a geometric sequence with a common ratio of 3, which is greater than 1.

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The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

z=-5; x=0 ; y=3

Step-by-step explanation:

2x= -2z -10; -2z-10+y-z=8; y-3z-10=8; y-3z=18

2y-3z=21; 2y=3z+21; y= 1.5z+10.5; y-3z=18

1.5z+10.5-3z=18; -1.5z+10.5=18; -1.5z=7.5; z=-5

x+z=-5; x-5=-5; x=0; 2y-3z=21; 2y+15=21; 2y=6; y=3

2x+y-z=8; 2(0)+3-(-5)=8; 3+5=8; 8=8

Answer:

5, 30, and 70

Step-by-step explanation:

Multiply by  number of quarters by 5 to get the number of nickels.

The event of Juan choosing at least one blue marker from the bag when randomly selecting 6 markers is certain.

In this scenario, Juan has a total of 7 markers in his bag, with 3 blue markers and 4 red markers. When he randomly chooses 6 markers from the bag, it is certain that he will select at least one blue marker. This is because there are more blue markers (3) than the number of markers he is selecting (6).

To understand why this event is certain, consider the worst-case scenario where Juan selects all 4 red markers first. Even in this case, there will still be 2 markers left in the bag, both of which are blue. Therefore, Juan is guaranteed to choose at least one blue marker when selecting 6 markers from the bag.

Since there are more blue markers available than the number of markers Juan is choosing, it is certain that he will select at least one blue marker. This makes the event of choosing at least one blue marker from the bag when randomly selecting 6 markers a certain event.

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Answer:

The expression that represents the number of materials being distributed this situation is;

Explanation:

Let P and G represent the number of coloured pencils and glue sticks to be distributed;

For 6 tables we have;

Given;

So, we have;

The expression that represents the number of materials being distributed this situation is;

Answer:1 hour 15 Minutes

Step-by-step explanation:The glider begins its flight mile above the ground.

Distance above the ground after 45 minutes =

Change in height of the glider

Next, we determine how long the entire descent last.

Expressing the distance moved as a ratio of time taken

Therefore: Total Time taken =45+30=75 Minutes

=1 hour 15 Minutes

According to the centroid theorem, the distance between the vertex and the midpoint of the sides equals 2/3 of a triangle's centroid.

The center of the object is known as the centroid. The centroid of a triangle is the location where the three medians of the triangle meet. The intersection of all three medians is another way to define it. The middle is a line that joins the midpoint of a side and the contrary vertex of the triangle. The ratio of the distance between the median and the centroid of the triangle is 2: 1. It can be determined by taking the average of all the triangle's vertices' x- and y-coordinate points.

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i) The sequence is Converges.

ii) The first five terms of that sequence is 81.5

In this case, we do not have a geometric or arithmetic sequence, so we cannot use those techniques. However, we can use the comparison test or the ratio test. The comparison test states that if there exists a sequence that converges and is greater than or equal to the given sequence, then the given sequence converges. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms of the sequence is less than 1, then the sequence converges.

Unfortunately, the given sequence is too complex to find a sequence that converges and is greater than or equal to the given sequence. Also, the ratio test is inconclusive since the limit of the absolute value of the ratio of consecutive terms is not easy to find.

Therefore, we cannot determine the convergence or divergence of the given sequence with the methods mentioned above. However, we can still find the first five terms of the sequence by plugging in values for n and p. For example, if we let n = 1 and p = 2, we get:

2(1 + 3(2+ 3² + 1 + 3(1+2)(1+4)(1²+2)/4 + 3...)

= 2(1 + 3(2+9+1+3(3)(5)(3)/4 + 3...)

= 2(1 + 3(12.75 + 3...)

= 81.5

Similarly, we can find the first five terms by plugging in different values for n and p.

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The ratio of the volumes as per the given length ratio is equal to 125:512.

The ratio of the volumes of two similar solids is equal to the cube of the ratio of their corresponding lengths.

Let's denote the ratio of lengths between the two similar solids as a:b.

Here, a:b = 5:8.

The ratio of their volumes (V₁ : V₂) is given by,

V₁ : V₂= (a³) : (b³)

Substituting the given values, we get:

V₁ : V₂

= (5³) : (8³)

= 125 : 512

Therefore, the ratio of their volumes is 125:512.

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Answer:

I am not sure if my math is correct but I got $15 dollars in change.

Step-by-step explanation:

$50 times 0.10 (10%) equals $5. $50.00 minus $30.00 is $20.00. $20 minus $5 is $15.

The triangle's third side is between 1.333 and 5.333 feet long.

One that assumes the longer value supplied is the longest side in the triangle and one that assumes the third side is the longest side in the triangle to determine a range of values for the third side when given two lengths. For the solution, combine the two inequality's.

Given:

Two sides are 2 feet and 40 inches (3.33 ft)

Now, the range for the third side can be

2+ 3.333 = 5.333 feet

and, 3.333 - 2= 1.333 feet

Hence, the third side of the triangle lies between 1.333 feet and 5.333 feet.

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The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

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The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer:

a) 3<x<8

b) -4<x<-2

c) -6<x<5

d) -21/4 < x-8/3

e) 0<x<7

Step-by-step explanation:

Given the following inequalities

a)  x > 3, 2x - 3 < 15

Solve 2x - 3 < 15

2x < 15+3

2x<18

x<18/2

x<8

Combine x>3 and x<8

If x>3, then 3<x

On combining, we have:

3<x<8

b) For the inequalities 25 > 1 - 6x, 1 > 3x + 7

25 > 1 - 6x

25-1>-6x

24>-6x

Divide through by -6:

24/-6 > -6x/-6

-4 <x

For the inequality 1 > 3x + 7

1-7>3x

-6>3x

-6/3 > 3x/3

-2 > x

x < -2

Combining both results i.e -4 <x and x < -2, we will have:

-4<x<-2

c) For the inequalities 2x - 7<3< 27 + 4x

On splitting:

2x - 7<3 and 3< 27 + 4x

2x < 3+7

2x<10

x<5

Also for 3< 27 + 4x

3-27<4x

-24<4x

-24/4 < 4x/4

-6<x

Combining both solutions i.e x<5 and -6<x will give;

-6<x<5

d) For the inequalities 3x + 8 <0 < 21 + 4x

3x + 8 <0

3x < -8

x < -8/3

Also for 0 < 21 + 4x

0-21<4x

-21<4x

-21/4 < 4x/4

-21/4 < x

Combining -21/4 < x and x < -8/3 will give;

-21/4 < x-8/3

e) For the inequalities 5x - 36 < -1 < 2x – 1​

Split:

5x - 36 < -1

5x < -1+36

5x<35

5x/5 < 35/5

x < 7

For the expression -1 < 2x – 1​

-1+1 < 2x

0 < 2x

0<x

Combining both inequalities 0<x and x < 7 will give:

0<x<7

Given:

A city's population has increased 40% in the last 5 years and is now 53,782 people.

To find:

The population 5 years ago.

Solution:

Let x be the population 5 years ago.

A city's population has increased 40% in the last 5 years.

So, present population is

\(x+x\times \dfrac{40}{100}=x+0.4x=1.4x\)

It is given that the present population is 53782.

\(1.4x=53782\)

\(x=\dfrac{53782}{1.4}\)

\(x=38415.7142857\)

\(x\approx 38416\)

Therefore, the population 5 years ago was about 38416.

Answer:

9 + 2nd

Step-by-step explanation:

I just did it

Answer:

z=33 x=90

Step-by-step explanation:

33 X 5 = 165 - 75 = 90 degress and x is a right angle so x is 90 degrees

Answer:

It is

Step-by-step explanation:

the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0.

a. P(X<1.8) = .25(1.8) + .5 = .95

b. P(X>-1.5) = .25(-1.5) + .5 = .375

c. P(X<-2) = 0

d. P(-1.5<X<2) = .25(2) + .5 - (.25(-1.5) + .5) = .875

a. For the probability P(X<1.8), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in 1.8 for x in the function to get F(1.8) = 0.25(1.8) + 0.5 = 0.95. Therefore, P(X<1.8) = 0.95.

b. For the probability P(X>-1.5), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375. Therefore, P(X>-1.5) = 0.375.

c. For the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0. Therefore, P(X<-2) = 0.

d. For the probability P(-1.5<X<2), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 and 2 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375 and F(2) = 0.25(2) + 0.5 = 0.95. Therefore, P(-1.5<X<2) = 0.95 - 0.375 = 0.875.

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Option D. The median cost of course materials for nursing majors is over $300 more than the median cost of course materials for non-nursing majors.

The given boxplots show the circulation of the expense obviously materials for nursing majors and non-nursing majors. From the plots, we can reason that the scope of the circulation of the expense obviously materials for nursing majors is like that of non-nursing majors, as the most extreme and least qualities are around at a similar level. We can likewise infer that the most extreme expense for non-nursing majors is more prominent than the middle expense for nursing majors.

Also, the inconstancy of the expense obviously materials for the center half of nursing majors is more noteworthy than the fluctuation of the center half for non-nursing majors, as the cases for nursing majors are more extensive. In any case, we can't reason that the middle expense obviously materials for nursing majors is more than $300 more than the middle expense obviously materials for non-nursing majors, as the medians are not straightforwardly named and their division isn't plainly shown. At last, we can see that the study included 17 nursing majors and 17 non-nursing majors.

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The complete question is:

A college professor conducted a survey in order to assess how much money nursing majors spend on course material compared to all other majors. To do so, she selected a random sample of 34 students. Each student was classified as a nursing major or as a non-nursing major. They were then asked how much they spent on books and other materials required for their courses this semester. Shown above are parallel boxplots summarizing the responses. Based upon the boxplots, which of the following statements cannot be concluded?

A. The range of the distribution of the cost of course materials for nursing majors is about the same as that of non-nursing majors.

B. The maximum cost for non-nursing majors is greater than the median cost for nursing majors.

C. The variability of the cost of course materials for the middle 50% of nursing majors is greater than the variability of the middle 50% for non-nursing majors.

D. The median cost of course materials for nursing majors is over $300 more than the median cost of course materials for non-nursing majors.

E. The boxplots reveal that 17 students are nursing majors and 17 students are non-nursing majors

The ice cream stand expects to serve 288 customers each day.

To calculate the expected number of customers the ice cream stand expects to serve each day, we need to multiply the gallons of each flavor by the number of customers served per gallon and then sum up the results.

Let's denote:

V = Gallons of vanilla = 8

C = Gallons of chocolate = 6

S = Gallons of strawberry = 4

D = Days-of-supply = 1.5

Serving per gallon = 16

The number of customers served each day can be calculated as follows:

Total customers = (V * Serving per gallon) + (C * Serving per gallon) + (S * Serving per gallon)

Total customers = (8 * 16) + (6 * 16) + (4 * 16)

Total customers = 128 + 96 + 64

Total customers = 288

To determine the number of customers served each day, we need to multiply the gallons of each flavor by the number of customers served per gallon and sum up the results. In this case, the stand has 8 gallons of vanilla, 6 gallons of chocolate, and 4 gallons of strawberry. Given that each gallon serves an average of 16 customers, we can calculate the number of customers served for each flavor by multiplying the gallons by the serving per gallon. Finally, by summing up the customers served for each flavor, we obtain the total number of customers served per day, which in this case is 288.

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