This table shows how many sophomores and juniors attended two school events.What is the probability that a randomly chosen person from this group is a sophomore and attended the jazz band concert?Round your answer to two decimal places.

The graph is displayed after the explanation

The slope is rise/run = -3/4

The line passes through (4, 3)

The run is 4, we add 4 to the x-coordinate

The rise is -3, we add -3 to the y-coordinate

We have:

(4 + 4, 3 - 3) = (8, 0)

We use (4, 3) and (8, 0) to graph the line

The graph is shown below:

Solution:

Given:

Also, we can rewrite the numbers as ordinary number and get the difference;

Therefore;

Answer:

586000

Step-by-step explanation:

(6.4×10^5)-(5.4×10^4)

=640000-54000

=586000

We can think of temperatures above zero F and below zero F. For example weather conditions in cold places like Alaska.

In the morning, the temperature could be 2 degrees F (above zero)), but later towards the night, the temperature could be below zero in three units : -3 degrees F.

So the difference is the distance from zero to 2 (above) and the distance to zero from below 3 (below the zero mark. so these two differences from zero add up as 2 + 3 = 5

The way to do such in one go with math is to write the "difference" (normally associated with a SUBTRACTION, of the form: 2 - (-3), and therefore use that the negative (or opposite) of a negative number is a positive number:

- (-3) = +3

The same happens when we want to compare the difference between

9 - (-15) = 9 + 15 = 24

with the difference:

-15 - 9 = -24

The important thing is to consider the absolute value if we just want to find the number of units between the values, how many units they are separated.

And if we need to find what needs to be added or subtracted to one of them, at that point the sign of the difference is critical. This is because in one case we will need to add to get to the other number, while in the other case we need to subtract.

Answer

Check Explanation

Explanation

To do this, we will let the bounce be represented on the x-axis as x and the height after bounce plotted on the y-axis as y

So, the table looks like

x | y

1 | 9

2 | 8.1

3 | 7.29

4 | 6.561

So, we plot these points on a graph and sketch a line of best fit to pass through them

Hope this Helps!!!

Given:

There are given that the angle is 20 degrees.

Explanation:

According to the concept:

The complementary angle is:

Then,

Put the value of an angle;

So,

Final answer:

Hence, the measure of the complement is 70 degrees.

Using long division:

Move the decimal point in the divisor and the dividend 1 unit

According to the formula for volume of a cone and rounding to the nearest tenth of cubic inch, we find out that the volume of each drinking cup is 7.9 cubic inch. Thus, option B is correct.

From the given figure, we have

Diameter of the cone-shaped cups, d = [tex]2\frac{3}{4}[/tex] in = 2.75 in

Height of the cone-shaped cups, h = 4 in

We have to find out the volume of each drinking cup.

Since, d = 2.75 in (Given), we can say that

The radius of the cone-shaped cups, r = [tex]\frac{1}{2}*2.75[/tex]

=> r = 1.375 in

We know that the volume of a cone can be represented as -

[tex]V = \frac{1}{3} \pi r^{2}h[/tex]

Putting the value of radius, r and height, h in the above equation of volume of the cone, we get

Volume, [tex]V = \frac{1}{3} \pi r^{2}h[/tex]

=> [tex]V = \frac{1}{3}\pi (1.375)^{2}*4\\= > V = 7.919 in^{3}[/tex]

Thus, using the formula for volume of a cone and rounding to the nearest tenth of cubic inch, we find out that the volume of each drinking cup is 7.9 cubic inch. Thus, option B is correct.

To learn more about volume of a cone visit https://brainly.com/question/1984638

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Answer:According to the formula for volume of a cone and rounding to the nearest tenth of cubic inch, we find out that the volume of each drinking cup is 7.9 cubic inch. Thus, option B is correct.

Step-by-step explanation:

Substitute Y = 3X - 6

in second equation

-15X + 5•(3X - 6) = -30

Now solve for X, cancel parenthesis

use a(b+c) = ab + ac

-15X + 15 X - 30 = -30

. -30 = -30

Then we see that, have infinite solutions

In consecuence, ANSWER IS

OPTION D) (x , 3x - 6 )

ANSWER

EXPLANATION

We want to solve the given expression for x = -18:

To do this, substitute the given value of x into the expression and simplify. That is:

That is the answer.

Given

6.4 times m minus 12 equals 45.6

To find: The value of m.

Explanation:

It is given that,

6.4 times m minus 12 equals 45.6.

Then,

Hence, the value of m is 9.

In any triangle, the sum of the interior angles of two vertices is equal to the exterior angle of the other vertex.

Using this property, we can write the following equation:

The value of y is equal to 15, therefore the correct option is A.

The following expression is equivalent to "double a number and add 12":

since the result is greater than 20, we have the following:

the number is also less than 6. Then we have that:

Answer:

b

Step-by-step explanation:

∠ QRP and ∠ PRS are a linear pair and sum to 180° , that is

∠ QRP + 3x - 8 = 180 ( subtract 3x - 8 from both sides )

∠ QRP = 180 - (3x - 8) = 180 - 3x + 8 = 188 - 3x

the sum of the 3 angles in Δ PQR = 180° , that is

188 - 3x + x + 2 + 90 = 180

- 2x + 280 = 180 ( subtract 280 from both sides )

- 2x = - 100 ( divide both sides by - 2 )

x = 50

Then

∠ PRS = 3x - 8 = 3(50) - 8 = 150 - 8 = 142°

We have the following:

We have the following points that are on the graph:

(-2, 1); (0, -1); (2, 1); (4, 3)

We must evaluate each point in the functions to know which is correct

F

y = x - 1

the first point does not match, therefore this function is not correct

H

y = x^2 - 1

the first point does not match, therefore this function is not correct

G

y = |x| - 1

In this function, all the points coincide, therefore the answer to the question is the function G

The given equation is

First, we divide the equation by 4.

At last, we take the cubic root on each side.

To solve this inequality we need to isolate the variable "n" on the left side.

Since there was a "+3" on the left side we needed to change its side, by inverting the number's signal.

Since the variable we need to calculate was multiplying "1/2" we needed to multiply both sides by 2 in order to find its value. The solution is n < 4.

For this problem, we are given a triangle and we need to determine its height.

The distance of the UFO from point A is equal to the side c of the triangle, this side forms a right triangle with the height, where the height is the opposite cathetus from angle alpha and side c is the hypothenuse. We can use the sine relationship to determine the height, as shown below:

The height is approximately 425.14 km.

hello

to solve this question, we need to draw an illustration

since we are looking for the major arc, we would subtract the minor arc from 360 degrees

major arc YZ =

now, we know the angke on the major arc is equal to 220 degrees, we can use this information to solve for the length of the arc.

length of an arc

but in this question, we were given the diameter of two segements. we can use that information to solve for the radius

let's insert this and other variables into our equation

from the calculations above, the length of the arc YZ is equal to 11.513

Given:

There are given that the expression:

Explanation;

First, let's notice that we need positives to numbers inside both roots.

So,

The root of a negative number is a math error.

Then,

With that information, let us analyze the options.

From option A:

If we add 5 to this inequality, we have:

That means the number in the first root is positive.

Now, we want 1-x to be positive:

So, it is positive:

Final answer;

Hence, the correct option is A.

Answer:

Look below

Step-by-step explanation:

Convert -8/5 into a decimal

-8/5 = -1 3/5 = -1.6

Explanation:

The volume of a cone is one third the area of the base times the height of the cone:

r is the radius of the base and h is the height.

In this problem, the radius is 12cm and the height is 24cm. The volume is:

Answer:

The volume is V = 1152 π

the series is geometric and finite

Given:

5, 10, 20, 40, 80, 160, 320

To find:

if the series is arithmetic or geometric; infinite or finite

a) For a series to be arithmetic, it must have a common difference

common difference = next term - previous term

For the series to be geometric, it must have a common ratio

common ratio = next term/previous term

We need to check if it has a common difference or common ratio

let next term = 10, previous term = 5

common difference = 10 - 5 = 5

let next term = 20, previous term = 10

common difference = 20 - 10 = 10

The difference is not common, it is different

common ratio = next term/previous term

let next term = 10, previous term = 5

common ratio = 10/5 = 2

let next term = 20, previous term = 10

common ratio = 20/10 = 2

The ratio is common

As a result, the series is geometric

b) Infinite series cannot be counted and totaled. This is because they do not end

Finite series can be counted and summed up. This is because the series has an end.

The series is finite

Answer:

geometric

finite

Step-by-step explanation:

Correct on Odyssey.

:)

To subtract two fractions we can use the following:

So 5/6 - 5/9 is equal to:

Finally, we can simplify the fraction dividing the numerator and denominator by 3, as:

So, the answer is 5/18

Answer: 5/18

SOLUTION

The price of the car = $12,000

The depreciate by 10%

Then

Then

For the first year the depreciating value will be

Base on the number of years, the exponential equation will be

Therefore

The exponential equation that represent the value of the car is

F(x)=12,000(0.9)^x

The price of the car in 5 yeras will be obtain by substituting x=5 into the equation above

The car will worth $7085.88 after 5 years

Similarly, The for 12 years we have x=12

The car will worth $3389.15 after 12 years

In order to use L'Hopital's rule, it is necessary to rewrite the limit as the quotient of two functions. Notice that:

Since the exponential function is a continuous function, then:

Find the following limit using L'Hopital's rule:

Write the function as a fraction:

Use L'Hopital's rule to rewrite the limit as the limit of the quotient of the derivatives:

Therefore:

20 x 37 x 21/5 ÷98

Find if 20 x 37 x 21/5 is bigger or lower than 98

20x37x21/5= 15540/5= 3108

Then 3108/98 is an overestimate

= 3108/98=31. 71

Answer is 31.71

Given:

Equation of line is,

The slope of the secant line between x =a and x= b is calculated as,

Answer: slope of the secant line is m = -6.36

Given:

Crystal earns $4.75 per hour mowing lawns.

Let the money earned = M

And the number of hours = H

So, the relation between M and H will be :

B. how much does crystal earn if she works 1 hour and 15 minutes? ​

Time = 1 hours and 15 minutes

AS 1 hour = 60 minutes

So,

Substitute with H to find M

So,

So, she will earn $5.9375

The question gives us a right-angled triangle and find the value of x.

In order to solve the problem, we use SOHCAHTOA. In this case, we will use "SOH" from SOHCAHTOA because we have the Opposite as x and Hypotenuse as 24, while the relevant angle is 60 degrees.

Let us apply this formula:

We simply need to make x the subject of the formula and we shall also represent sin 60 with its surd form.

This is done below:

Therefore, the final answer is Option 4

1)

in the interval (2,5) decreases and then increases , but We cant say that it is growing since it had a fall in the middle, so isnt increasing

2)

(-8,-2) (0,2) (5,10)

It is increasing because, from left to right, it comes from a low point to a higher point

3)

(-10,-8) (-2,0) (2,5)

It is decreasing because, from left to right, it comes from a high point to a lower point

4)

x=-2 and 2

are the highest values ​​of the function

5)

x=-8, 0 and 5

are the lowest values ​​of the function

6)

x=-5, 0 and 5

values ​​where y = 0, therefore intersects the x axis

7)

y=0

values ​​where x = 0, therefore intersects the y axis