Please help. Thank you sm!

Answer:

E

Step-by-step explanation:

If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.

The score she must get during the 6th game to have a mean of 12 point score per game is 22.

The mean is the average of numbers.

Mathematically, it is represented as follows;

mean = sum of terms / number of terms

Therefore, to get a mean of 12 point score per game the 6th score can be calculated as follows:

let

x = 6th score

Hence,

8 + 12 + 10 + 6 + 14 + x   / 6 = 12

50 + x / 6 = 12

cross multiply

12 × 6 = 50 + x

72 = 50 + x

72 - 50 = x

x = 22

Therefore, the score is 22.

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Based on the dotplots, it can be concluded that the number of snacks grabbed for class A has less variability than the number of snacks grabbed for class B.

The dotplots show the number of snacks grabbed by students in two statistic classes. To determine the variability of the number of snacks grabbed in each class, we can analyze the spread of the data displayed in the dotplots.

In class A, with 32 students, the dotplot shows a relatively narrow spread of data. The dots are concentrated in a smaller range, indicating less variability in the number of snacks grabbed by the students. This suggests that the students in class A have a similar behavior when it comes to grabbing snacks with one hand.

In class B, with 34 students, the dotplot displays a wider spread of data. The dots are more scattered and distributed over a larger range, indicating higher variability in the number of snacks grabbed by the students. This suggests that the students in class B have a wider range of behaviors when it comes to grabbing snacks with one hand, with some students grabbing more snacks and others grabbing fewer snacks.

Overall, based on the dotplots, we can conclude that the number of snacks grabbed for class A has less variability compared to the number of snacks grabbed for class B.

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Answer:

All worked out by Kepler some years ago. A circular orbit is a special (and very unlikely) case of an eliptical orbit.

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

25 divided by 5 is 5 and in fractions 1/5 is 20 therefore 20% for every 5 pounds so if you lose 5 pounds you lost 20% of her weight.

Answer:

ana totta

Step-by-step explanation:

Answer:

121.9

Step-by-step explanation:

1% of 106 =  1.06

1.06 x 15 = 15.9

106 + 15.9 = 121.9

Answer:

Step-by-step explanation:

yes becaues 1/4 out of a hundred is 25%

If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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Answer:

(5/2,0) and(-4,0)

Step-by-step explanation:

I hope this helps.

The x-intercepts of the function is at (-4, 0) and (5/2, 0)

The x-intercept is a point where the y-axis is zero that is f(x) = 0

Given the function f(x) = –2x^2 – 3x + 20

The x-intercept is the point where:

–2x^2 – 3x + 20 = 0
2x^2+3x - 20 = 0

Factorize

2x^2 + 8x - 5x - 20 = 0

2x(x+4)-5(x+4)= 0
x+  4 = 0 and 2x - 5  = 0
x = -4 and 5/2

Hence the x-intercepts of the function is at (-4, 0) and (5/2, 0)

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Answer:

7

Step-by-step explanation:

Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal

9x-34=4x+1

-1 on both sides

9x-35=4x

-9x on both sides

-35=-5x

x=7

I hope this helps you .

Answer:

a. 5.25cm

b. 374.6 cm^2

Step-by-step explanation:

The radius of the conical cup is half the length of the arc formed

Mathematically, the length of the arc would be;

L = theta/360 * 2 * pi * r

L = 135/360 * 2 * 22/7 * 14 = 33 cm

Now, the arc of this sector will become the base circumference of the circular base of the cone

Thus;

2 * pi * R = 33

2 * 22/7 * R = 33

R = (7 * 33)/44 = 5.25 cm

b. The volume of the cone

Kindly note that the radius of the circle becomes the height of the cone

Mathematically;

V = 1/3 * pi * r^2 * h

Kindly note that the radius of the circle will become the slang height of the cone

We can use pythagoras’ theorem to find the height of the cone

Pythagoras theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

So here, slant height l is the hypotenuse, h and r are the other two sides

So 14^2 -5.25^2 = h^2

h^2 = 168.4375

h = 12.98 cm

Volume is thus ;

1/3 * pi * 5.25^2 * 12.98 = 374.6 cm^3

The tallest lighthouse in the world is the Jeddah Light. It is 133 m tall. A dhow is sailing away from this lighthouse. From the top of the lighthouse, the angle of depression to the dhow is 65° Later, the angle of depression has changed to 40°.

How far did the dhow travel during that time?

To solve this problem, we can use trigonometry and the fact that the angles in a triangle add up to 180°.

Let's call the distance between the lighthouse and the dhow "d".

We know that the angle of depression from the top of the lighthouse to the dhow is 65°, and the angle of depression later changed to 40°.

Let's call the angle between the horizontal and the line of sight from the lighthouse to the dhow, "x"

Since the angles in a triangle add up to 180°, we can say that:

x + 65 + 40 = 180

x = 75

Now, we can use the tangent function to find the distance d. We know that:

tan(x) = d / h

tan(75) = d / 133

d = 133 * tan(75)

Therefore, the dhow traveled 133 * tan(75) distance during that time.

Answer:

3/6 or 1/2.........................

Answer:

The probability is

5

6

.

Explanation:

Probability is

d

e

s

i

r

e

d

a

l

l

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2.

2 is

2

1

, 4 is

2

2

. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes.

A dice has 6 different outcomes.

Now add up the desired outcomes,

3

+

2

=

5

and so the probability is

5

6

The vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0 is r(t) = <0, 2, 0> - t<1, -1, 0>.

To find a vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0, we can solve the system of equations formed by the planes.
First, let's solve for y in terms of x and z from the equation x + y + z = 2. Rearranging the equation, we have y = 2 - x - z.
Now, substitute this expression for y in the equation x + z = 0. We have x + (2 - x - z) + z = 2, which simplifies to 2 - z = 2.
Solving for z, we find z = 0.
Substituting z = 0 into the equation x + z = 0, we have x = 0.
Now that we have the values of x, y, and z, we can form a vector equation for the line of intersection as follows:
r(t) =  = <0, 2 - x - z, 0> = <0, 2, 0> - t<1, -1, 0>.

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Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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Answer:

21.99cm

2pier

have a good day ❤️

Equation of the line described: y = x + 4

Slope of given line y = x + 4 is 1

Therefore, slope of parallel line is also 1

Using the point-slope form of the equation of a line,

we have y - y1 = m(x - x1),

where (x1, y1) = (2, 2)

Substituting the values, we get

y - 2 = 1(x - 2)

Simplifying the equation, we get

y = x - 1

Therefore, slope-intercept form of the equation of the line is

y = x - 12.

Equation of the line described:

x = 0

Since line is parallel to the y-axis, slope of the line is undefined

Therefore, the equation of the line is x = 4.3.

Equation of the line described:

y = (1/8)x + 2

Slope of given line y = (1/8)x + 2 is 1/8

Therefore, slope of perpendicular line is -8

Using the point-slope form of the equation of a line,

we have y - y1 = m(x - x1),

where (x1, y1) = (1, -5)

Substituting the values, we get

y - (-5) = -8(x - 1)

Simplifying the equation, we get y = -8x - 3

Therefore, slope-intercept form of the equation of the line is y = -8x - 3.

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The number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.

Since the total number of cupcakes that were sold is equal to 9 dozen cupcakes.

Total number of cupcakes = 9 * 12 = 108 cupcakes.

Since c is the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock.

We can write an equation that represents the total number of cupcakes sold as follows:

36 + 24 + c + c = 108

Solve for c:

36 + 24 + c + c = 108

36 + 24 + 2c = 108

60 + 2c = 108

2c = 108 - 60

2c = 48

c = 48/2

c = 24

Therefore, the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.

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Answer: 56448² ft

Step-by-step explanation:

7 x 4 x 18 x 4 x 7 x 4 = 56448 and square it to get 56448² and then add the unit to get  56448 ft² :)

Answer:

Step-by-step explanation:

Sample Space

off  even numbers

= {2,4,6,8,10}.

There are 5 outcomes in the sample space,

The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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Answer:

8

Step-by-step explanation:

numerator = -9-7 = -16

denominator = -9+7 = -2

\(\frac{num}{deno} = \frac{-16}{-2} = 8\)

For the cosecant we will get:

   \(csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}\)

So the correct option is the third one.

First, we can write:

\(csc(x) = \frac{1}{sin(x)}\)

Now, remember that:

\(cos(x) = \frac{\sqrt{2} }{2} \\\\for\ x = \pm \frac{pi}{4}\)

And for the sine we have:

\(sin(pi/4) = \frac{\sqrt{2} }{2} \\\\sin(-pi/4) = -\frac{\sqrt{2} }{2} \\\)

Then the cosecant for these possible values of x gives:

\(csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}\)

So the correct option is the third one.

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There probability are 17,576,000 different ways to arrange the 26 letters of the alphabet so that the vowels a, e, I o, and u never appear back-to-back.

There are 21 consonants and 5 vowels (a,e,i,o,u) (all other letters).

The vowels can be arranged in 5! = 120 different ways.

The consonants can be arranged in 21! = 5,109,400,800 different ways.

The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

26 letters make up the alphabet, and 5 of them are vowels (a,e,i,o,u). We must determine how many ways there are to organize the vowels and consonants before we can determine how many ways there are to arrange the letters so that no two vowels appear consecutively.

There are 5! = 120 different ways to order the vowels. This is due to the fact that there are 5 vowels that must be grouped in various ways. Since there are 21 consonants that can be arranged, there are 21! = 5,109,400,800 different combinations that can be made. The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

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Answer:  Choice B

1 & 3/4

=============================================

Explanation:

Rewrite 1/2 into 4/8 so that it has the same denominator as 7/8.

Now that the denominators are the same, we focus on the numerators. This is because the equal denominators cancel out when we divide the fractions later on.

We'll divide the numerators 7 and 4 to get

7/4 = (4+3)/4

7/4 = (4/4) + (3/4)

7/4 = 1 + (3/4)

7/4 = 1 & 3/4

Meg can get 1 & 3/4 servings from the jug.

Person A's optimal choices are x1 = x2 and person B's optimal choices are x1 = x22. Also Demand(x1,x2) = 2x1 + x1 + x22 represents the market demand for x1 and x2.

In order to find the optimal choices of person A and person B, we need to find the values of x1 and x2 that maximize their respective utility functions.

For person A, their utility function is ua = min{x1,x2}, which means their satisfaction is equal to the minimum value of x1 and x2. The optimal choice for x1 and x2 would be the values that make x1 = x2, because if one value is higher, the minimum will always be the lower value. Hence, person A's optimal choices are x1 = x2.

For person B, their utility function is ub = min{x1,x22}, which means their satisfaction is equal to the minimum value of x1 and x22. The optimal choice for x1 and x2 would be the values that make x1 = x22, because if x1 is higher, x22 will be even higher and the minimum will always be x1. Hence, person B's optimal choices are x1 = x22.

To find the market demand, we need to find the aggregate demand of both person A and person B. The aggregate demand is the sum of the individual demands. The demand for x1 and x2 can be found by adding the individual demands.

Person A's demand for x1 and x2 is the same, x1 = x2, hence the total demand for x1 and x2 is 2x1.

Person B's demand for x1 and x2 is x1 = x22, hence the total demand for x1 and x2 is x1 + x22.

The aggregate demand for x1 and x2 is the sum of both individual demands:

Demand(x1,x2) = 2x1 + x1 + x22

This represents the market demand for x1 and x2.

Therefore, Person A's optimal choices are x1 = x2 and person B's optimal choices are x1 = x22. Also Demand(x1,x2) = 2x1 + x1 + x22 represents the market demand for x1 and x2.

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Answer:

F.

Explanation:

The number of quarts of cream Type A is x.

Type A cream has 18% butterfat, so the amount butterfat will be 0.18x

For type B, we know that the total amount of cream will be 90, so if cream type A is x, cream type B is 90 - x.

Type B crem has 24% butterfat, so teh amount in the mixture will be 0.24(90-x)

Then, the mixture will be 90 quarts of crean that is 22% butterfat, so the amount in the mixture will be 0.22(90)

Therefore, the table that represent this data is table F.

So, the answer is F.

Answer:

y - 5 = 3(x - 1)

Step-by-step explanation:

Step 1:  Find the equation of the line in slope-intercept form:

First, we can find the equation of the line in slope-intercept form, whose general equation is given by:

y = mx + b, where

1.1 Find slope, m

We can find the slope using the slope formula which is

m = (y2 - y1) / (x2 - x1), where

m = (5 - 2) / (1 - 0)

m = (3) / (1)

m = 3

Thus, the slope of the line is 3.

1.2 Find y-intercept, b:

The line intersects the y-axis at the point (0, 2).  Thus, the y-intercept is 2.

Therefore, the equation of the line in slope-intercept form is y = 3x + 2

Step 2:  Convert from slope-intercept form to point-slope form:

All of the answer choices are in the point-slope form of a line, whose general equation is given by:

y - y1 = m(x - x1), where

We can again allow (1, 5) to be our (x1, y1) point and we can plug in 3 for m:

y - 5 = 3(x - 1)

Thus, the answer is y - 5 = 3(x - 1)

Answer:

They keep removing my answer but it’s -6

Step-by-step explanation:

This statement is False as the probability of intersection of two events is always less than the probability of union.

This assertion is untrue. Contrary to popular belief, the likelihood of two occurrences coming together is always higher than or on pair with the likelihood of them colliding.

The chance of two events A and B occurring together can be calculated using the following formula to see why:

According to this equation, the probability of A and B joining together is equal to the total of their individual probabilities less the likelihood of their colliding.

When we rewrite this calculation and focus only on the likelihood of the intersection, we obtain:

Now it is clear that the probability of the intersection is determined by subtracting the probability of their union from the sum of the probabilities of A and B.

P(A) and P(B) are both less than or equal to P(A B), since probabilities can never be negative. P(A + B) is therefore less than or equal to twice P(A + B) when they are added together. Thus, it follows:

This indicates that, contrary to what the original statement implied, the probability of the intersection is not greater than or equal to the probability of the union.

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