numeros mayores que -4 y menores o iguales que -1​

Answer:

Step-by-step explanation:

a) The steering committee of 5 can be chosen from 15 members in 15 nCr 5 ways. Once the committee is chosen, the chair can be selected in 5 ways and the secretary can be selected in 4 ways (since the chair cannot also be the secretary). Therefore, the total number of different sets of committees (including officer selection) is:

15 nCr 5 * 5 * 4 = 3,003,600

b) Each of the 6 raffle prizes can be awarded to any of the 100 people, so there are 100 choices for the first prize, 99 choices for the second prize, and so on, down to 95 choices for the sixth prize. However, since the three $25 prizes are equivalent, we need to divide by 3! to account for the ways in which the $25 prizes can be arranged. Therefore, the total number of different raffle ticket winner selections is:

(100 * 99 * 98 * 97 * 96 * 95) / (3!) = 903,450,240,000

c) Since repeats are allowed and the code cannot begin with 0, there are 9 choices for the first digit and 10 choices for each of the remaining digits. Therefore, the total number of six-digit PIN codes that can be made is:

9 * 10^5 = 9,000,000

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Answer:

A)  M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f'(1) = e' [sin(1) + cos(1) ]

D) g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Step-by-step explanation:

Attached below is the detailed solution of the problem

A) m(w) = 3w^17 * 4^w

M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h(t) = [sin(t) + cos(t) ] t^4

h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f(x) = e^x sin (x).  at a = -1

f'(1) = e' [sin(1) + cos(1) ]

D) g (x) = ( x^2 + x ) 2^x .

g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Solving the system of equations obtained by the substitution method, we can conclude that Adam had 225 beads at first.

Let us suppose Adam had \(x\) beads and Rahmad had \(y\) beads.

By the problem, if Adam gave \(\frac{1}{3}\) of his share to Rahmad, then Rahmad would have \(70\) more than Adam. This can be expressed by the following equation:

\(y+\frac{x}{3}-(x-\frac{x}{3})=70\\\Longrightarrow y-\frac{x}{3}=70\)      (1)

Again, if Adam gave \(\frac{1}{5}\) of his share to Rahmad, then Rahmad would have \(10\) more than Adam. This can be expressed by the following equation:

\(y+\frac{x}{5}-(x-\frac{x}{5})=10\\\Longrightarrow y-\frac{3x}{5}=10\)      (2)

From equation (1), we get: \(y=\frac{x}{3}+70\).

Now, substituting this value of \(y=\frac{x}{3}+70\) in the equation (2), we obtain:

\(\frac{x}{3}+70-\frac{3x}{5}=10\\\Longrightarrow \frac{4x}{15}=60\\\Longrightarrow x=\frac{60\times 15}{4}\\\therefore x=225\)

Then \(y=\frac{225}{3}+70=145\).

Thus, at first, Adam had 225 beads.

Therefore, by solving the system of equations by substitution method, we can conclude that Adam had 225 beads at first.

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Answer:

A:B= 1:3

let A=1x,B=3x

A+B = x+3x

x+3x = 40

4x = 40

x=10

A=1(10)=10

B=3(10)=30

Step-by-step explanation:

Dont really know how to explain it well

Answer:

325

Step-by-step explanation:

All you have to do is 25 x 13

25 x 13 = 325

So he will run a total of 325 miles

Marshawn batting average as fraction in simplest form is 90909/125000.

Given a number into decimal form i.e., 0.727272...

Marshawn has batting average of 0.727272....

And, Write his batting average as fraction in simplest form.  

Based on the given conditions,

Formulate:

0.727272..

Simplify in simplest form:
0.727272/1

= 7.27272/10

=72.7272/100

= 727.272/1000

= 7272.72/10000

=72727.2/100000

=727272/1000000

It is divided by 2, we get

= 363636/ 500,000

= 181,818/ 250,000

= 90909/125000

Hence, Marshawn batting average as fraction in simplest form is 90909/125000.

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\(\text{view explanation pls}\)

The first step is to write the line's equation in point-slope form

y-y1=m(x-x1)

y-0=4(x-3)

use the distributive property

y-0=4x-12

y=4x-12

Well, let's start with the y-intercept, which is -12 or (0, -12)

After plotting the point (0, -12) move up 4, over 1, up 4, over 1, up 4, over 1.

Do the same on both sides of the y-intercept.

hope helpful ~

the is going to be x=3 43- 35 =18

may be that the way it should be

Answer:18

Step-by-step explanation:

first : 8-2 =6 gallons

he gave 6 to 7 students

then he needs : 18 gallons for 21 students

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

Explanation:

Refer to the table below (attached image). I've copied your table and added a third row at the bottom. This new row is the result of multiplying each payout value with the corresponding probability.

Example: for the first entry of this row, have 2*0.45 = 0.9

Once that third row is filled out, you add up everything in that row. That will lead to the expected value.

The expected value is: 0.9+1.2+0.6+0.8+0.5 = 4

Interpretation: You expect, on average, to win $4 each time you play the game. This assumes that the cost to play the game is 0 dollars. If the cost is something else, then it will affect the expected value.

Because the expected value is not 0, this game is not mathematically fair (the bias is leaning in favor of the player).

The domain of the graph of the exponential function is (d) all real numbers

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

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Answer:

-2, 3

Step-by-step explanation:

We are given the following inequality:

\(x + 2 > 7\)

Solving it, we have that its solution is:

\(x > 7 - 2\)

\(x > 5\)

So values of x of 5 and lower are counterexamples to this, which means that -2 and 3 are correct options to this question.

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

Answer:1.5

Step-by-step explanation:

Y=1/2 of x

The length of a rectangle is 55  inches and the width of the rectangle is  17 inches

Given that The length of a rectangle is four more than triple the width.  If the perimeter is 144 inches and asked to find the dimensions of the rectangle

Length of a rectangle = 4 + triple the width

Let's assume the length of a rectangle is "l" and the width is "b"

l= 4 + 3b

perimeter of rectangle =2 ( l +b )

perimeter of rectangle = 2 ( 4 +3b +b)

perimeter of rectangle = 2 ( 4 + 4b )

Given that perimeter of rectangle = 144 inches

144 inches =  2 ( 4 + 4b )

72 inches = 4 + 4b

b= 17 inches

l= 4 + 3b

l=4+51

l=55 inches

Therefore the dimensions of rectangle are 55 inches and 17 inches

Hence,The length of a rectangle is 55  inches and the width of the rectangle is  17 inches.

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Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

Answer:

They lost a total of -12 yards.

Step-by-step explanation:

Do the calculation.

5- 13= -8

-8 + 2 + 6= 0

0 - 12 = -12

Answer:

Step-by-step explanation:

11! = 11*10*9*8*7*6*5*4*3*2*1 = 3991600

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=1.307674368 * \(10^{12}\)

also looks like this                             1,307,674,368,000

20! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2 = 2.432902008 * \(10^{18}\)

also looks like this                             2,432,902,008,000,000,000

8!(7-3)! = 8!4! = (8*7*6*5*4*3*2)(4*3*2) = 967,680

10!(9-5)!13! = 10!4!13! =3,628,800*24*6,227,020,800 = 5.423187139*\(10^{17}\)

RQT = 159

RQS = 69

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

Explanation:

Draw a segment connecting R and S.

Triangle SRQ is a right triangle due to Thale's Theorem. That theorem is a special case of the inscribed angle theorem. The 90 degree angle R is opposite the diameter SQ.

Minor arc QR = 42 degrees. Half of this is 42/2 = 21, which is the measure of inscribed angle RSQ. This inscribed angle subtends minor arc QR.

Focus on triangle SRQ. We have two known angles (R = 90 and S = 21). Let's use them to find the missing angle.

The inside angles of any triangle always add to 180 degrees.

S+R+Q = 180

21+90+Q = 180

111+Q = 180

Q = 180-111

Q = 69

Angle RQS is 69 degrees.

----------------

We'll add angle SQT onto the previous result to get angle RQT.

angle RQT = (angle RQS) + (angle RQT)

angle RQT = (69) + (90)

angle RQT = 159 degrees

Answer:the second one

Step-by-step explanation:

Answer: 2 answer

Step-by-step explanation:edge 2021

Answer:

Yes blue liquid is toxic

Step-by-step explanation:

H0: p1 = p2

H1: p1>p2

For blue

We calculate proportion as

37/40 = 0.925

For white

9/40 = 0.2250

To get p

(X1 + x2)/(n1 + n2)

= 0.5750

After calculating the z as statistic (please check attachment) I got 6.33

P value = 0.0000

We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!

Thank you!

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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Answer:

1. 10x + 5y ≥ 100

2. y ≤ 10

The solution to the equation where the equation is given as -2(5z + 8) = 14 + 6z is z = -15/8

The equation is given as

-2(5z + 8) = 14 + 6z

Open the bracket

So, we have

-10z - 16 = 14 + 6z

Collect the like terms

So, we have

-10z - 6z = 14 + 16

Evaluate the like terms

So, we have

-16z = 30

Divide both sides of the equation by 16

So, we have

z = -15/8

Hence, the solution to the equation where the equation is given as -2(5z + 8) = 14 + 6z is z = -15/8

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Answer:

39.75

Step-by-step explanation:

[] To find mean, we add all the numbers together and divide by the number of numbers

\(\frac{10+134+ 7+ 8}{4} =39.75\)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Yesterday Ali had n Baseball cards.

Today he gave away 6 cards.

We are asked to write an expression for the number of cards Ali has left.

Ali had a total of n cards and he gave away 6 from them.

So, we have to simply subtract 6 cards from the total n cards.

Therefore, the expression is n - 6 represents the number of cards Ali has left.

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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