The endpoints of CD¯¯¯¯¯¯¯¯ are C(7, 9) and D(−1,−3). Find the coordinates of the midpoint M.

The probability that among the first two songs played, exactly 1 of the 4 songs you like is played is 0.452 or 45.2%.

Probability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

There are 4 songs that you like out of the 14 total songs, so the probability of selecting a song that you like on the first draw is 4/14.

On the second draw, the probability of selecting a song that you like is 3/13, since there are now 3 songs that you like out of the remaining 13 songs.

The probability of selecting exactly 1 of the 4 songs you like in the first two draws is given by:

P(exactly 1 like in first two draws) = (4/14) ×(10/13) + (10/14) × (4/13) = 0.452

Therefore, the probability that among the first two songs played, exactly 1 of the 4 songs you like is played is approximately 0.452 or 45.2%.

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Answer:

I don't really understand the question

Step-by-step explanation:

c

Answer:

5. 3,2 is not | 0,1 is | 9,-1 is not | 6,-2 is | 5,0 is not

6. The line is gonna be y= 1/3 - 2

Step-by-step explanation:

For 5 just plug in the numbers for x and y.

Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

Answer:

Step-by-step explanation:

To convert degrees to radians: \(n(\frac{\pi }{180})\) where n is degrees.

For n = 13

\(13(\frac{\pi}{180} ) = 0.229 radians\) when rounded to the nearest thousandth

Answer:

it will take him 30 weeks

Step-by-step explanation:

2 weeks = 1 kilogram lost

105-90=15

1 x 15 = 15

2 x 15 = 30

Answer:

your friend asks for RS 3 every three months, so in 9 months, you have to pay 9 RS extra so the amount you must play after 9 months is 309. the annual rate of interest will be basically the money you will have to give her after 12 month period which will be 12 rs. the annual rate of interest is 12pcpa

Answer:

108

Step-by-step explanation:

(3 times 4 ) times 9

=12 times 9

=108

Answer:

x= -1  and also x = -2

Which agrees with the second option in your list of answers

Step-by-step explanation:

We look for two numbers whose product is "2" (constant term in your quadratic equation) and which added give "3" (coefficient in the middle term with "x"). So we find the factors 1 and 2:

1 times 2 = 2 and 1 + 2 = 3

So we use these factor to expand the middle term and then factor by grouping:

\(x^2+3x+2=0\\x^2+x+2x+2=0\\x(x+1)+2(x+1)=0\\(x+1)(x+2)=0\)

Then for this product of binomials to give zero, each binomial must be zero. That is

x= -1  and also x = -2

No ruler??? wow. hard

?=118°

Answer:

<6+62=180 co interior angle

<6=180-62=118°

Answer:

what he works 40 hours overtime? im a little confused by the question but if he works 40 hours overtime then his gross pay would be $14,601.00.

Step-by-step explanation:

in order to calculate gross time you must first

Determine the actual number of hours worked.

Multiply the number of hours worked by the hourly wage.

If there is overtime, multiply the number of overtime hours worked by the overtime pay rate.

Add regular pay and overtime pay together to find the gross pay for that pay period.  hope this helps :) if not comment let me know

Answer:

762.6

Step-by-step explanation:

If he gets paid 18.60 per hour and he worked 41 hours then his total pay is $762.6

There are 20 possible routes that a man could take to go between cities and then take a different route back.

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

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Answer:

b. Normal data is never one of the inference assumptions.

Step-by-step explanation:

A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.

So, there are two propositions in statistical inference for categorical data

1. That each data in a cell is independent of the others.

2. That samples are randomly drawn.

Thus, there is no room for normality.

Answer:

  XY is tangent to circle Z

Step-by-step explanation:

You want to know if segment XY, measuring 3.6 units, is tangent to circle Z at point X. Segment YZ has length 1.8 units outside the circle, which has radius 2.7 units.

If the triangle XYZ is a right triangle, then we have ...

  XY² +XZ² = YZ²

  3.6² +2.7² = (1.8 +2.7)²

  12.96 +7.29 = 20.25 . . . . . true

Segment XY is a tangent.

If segment YZ is extended across the circle, the lengths of the segments from Y to the circle intersection points are 1.8 and (1.8 +2·2.7) = 7.2. The relation between the secant and the "tangent" will be ...

  3.6² = (1.8)(7.2) . . . . . true

This means XY is a tangent.

Answer:

About five

Step-by-step explanation:

The answer is 5.2, rounded up is 5.

Hope this helps!

Answer: a

Step-by-step expla

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Answer:

s=x(20)

Step-by-step explanation:

s= solution

x= # of weeks

4x2=8

4x3=12

12+8=20

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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Answer:

Correct answer is B

Step-by-step explanation:

hope it helps ^^

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?

The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.

The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?

Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.

Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.

The inverse sine of 0.707 is π/4 radians or 45 degrees.

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Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

Answer:

the answer is 0.11248593

Step-by-step explanation:

Answer: 2.5%

Step-by-step explanation:

8.54 / 8.75 =0.975

1 - 0.975 = 0.025

0.025 x 100% ( and nearest thenth)

=2.5%

Answer:

A = 2x^2 + 11x + 15

B = 3x^2 - x - 2

A-B = -x^2 +12x +17

Answer:It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

Step-by-step explanation:

The Y intercept of a straight line is simply where the line crosses the Y axis.

Example

Y intercept

In the above diagram the line crosses the Y axis at 1.

The Y intercept is equal to 1 and the point is written as (0,1). Notice that for the y-intercept the x-coordinate of the point is always zero..

Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

Answer:

Step-by-step explanation:

1,-5