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You randomly choose one of the tiles. Without replacing the first tile, you

choose a second tile. Find the probability of the dependent event(s) both

occurring.

1/2/3/4/5/6/7

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Choosing a 6 and then a prime number

Choosing two odd numbers

Answer:

Step-by-step explanation:

Answer:

f(x) = x³ - x² - 6x

Step-by-step explanation:

If a polynomial f(x) has roots x = a and x = b then the factors are

(x - a) and (x - b) and the polynomial is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the roots are x = 3, x = - 2 and x = 0, thus

(x - 3), (x - (- 2)) and (x - 0) are the factors, that is

(x - 3), (x + 2) and x , hence the polynomial is

f(x) = x(x - 3)(x + 2) ← expand the pair of factors

     = x(x² - x - 6) ← distribute parenthesis by x

     = x³ - x² - 6x

Answer

           -1

Step-by-step explanation:

Answer:

D Y=4x-15

Step-by-step explanation:y=Mx+b

Answer:

Below in bold.

Step-by-step explanation:

sin ^2x + cos ^2 x = 1, so

cos^2x = 1 - (5/11)^2 = 96/121

cos x = √96/11

= 4√6/11.

sin 2x = 2 sinx cosx  = 2 * 5/11 * 4√6/11.

= 40√6/121.

cos2x =  2cos^2 x - 1

= 2 * 96/121 - 1

=  192/121 - 121/121

= 71/121.

Answer:

16

Step-by-step explanation:

8(19-17)=8(2)=16

Answer:

Yes, because when waves are at the same place at the same time, the amplitudes of the waves simply add together and this is really all we need to know!

Step-by-step explanation:

The sum of two waves can be less than either wave, alone, and can even be zero. This is called destructive interference.

If we place the waves side-by-side, point them in the same direction and play the same frequency, we will have  constructive interference.

Check the picture below.

The three numbers forming the geometric progression are [tex]4/7, 32/7,[/tex] and [tex]81/7.[/tex] The second term is increased by [tex]2[/tex], then the progression will become arithmetic and if, after this, the last term is increased by [tex]9[/tex], then the progression will again become geometric.

Let's denote the three numbers forming the geometric progression as [tex]a[/tex], [tex]ar[/tex], and [tex]ar^2}[/tex], where a is the first term and [tex]r[/tex] is the common ratio.

If the second term is increased by [tex]2[/tex], then the progression becomes arithmetic. This means:

[tex]ar+2=2ar-a[/tex]

[tex]2=ar-a \\2=a(r-1)[/tex]

If after this, the last term is increased by [tex]9[/tex], then the progression becomes geometric again. This means: [tex]ar^2} +9=(ar+2)r[/tex]

[tex]ar^2} +9=ar^2} +2r \\9=2r \\r=9/2[/tex]

Now, we have found the value of [tex]r[/tex], which is the common ratio. Let's substitute [tex]r=29[/tex] into the equation [tex]2=a(r-1)[/tex] to find the value of a:

[tex]2=a((9/2)-1) \\2=a(9-2/2) \\2=a(7/2) \\a=4/7[/tex]

So, the first term a is [tex]4/7.[/tex]

Now, let's find the second term by substituting [tex]a=4/7[/tex] into the equation [tex]ar+2=2ar-a:\\4/7.9/2+2=2.4/7.9/2-4/7 \\18/7+2=36/7-4/7 \\32/7=32/7[/tex]

This equation is satisfied, so the second term is [tex]32/7.[/tex]

Finally, let's find the third term by multiplying the first term by the common ratio:

[tex]4/7.(9/2)2=7.4/4.1/8=81/7[/tex]

So, the three numbers forming the geometric progression are [tex]4/7, 32/7,[/tex]and [tex]81/7.[/tex]

We used the properties of geometric and arithmetic progressions to set up and solve equations to find the three numbers. First, we found the common ratio r by solving the equations derived from the given conditions. Then, we found the first term a and used it to find the second term. Finally, we found the third term by multiplying the first term by the common ratio squared.

COMPLETE QUESTION:

Three numbers form a geometric progression. If the second term is increased by [tex]2[/tex], then the progression will become arithmetic and if, after this, the last term is increased by [tex]9[/tex], then the progression will again become geometric. Find these three numbers.

The three numbers are 4, 18, and 81.

Let the three numbers forming the geometric progression be [tex]\( a, ar, \)[/tex] and [tex]\( ar^2 \)[/tex], where [tex]\( r \)[/tex] is the common ratio.

Given that increasing the second term by 2 makes it an arithmetic progression, we have:

[tex]\[ar + 2 = a + 2d\][/tex]

where d  is the common difference in the arithmetic progression.

Similarly, after increasing the last term by 9, the progression becomes geometric again, so:

[tex]\[ar^2 + 9 = (ar + 2)r\][/tex]

From the first equation, [tex]\( d = (ar - a)/2 \)[/tex], and substituting this into the second equation, we get:

[tex]\[ar^2 + 9 = (ar + 2)r\][/tex]

[tex]\[ar^2 + 9 = ar^2 + 2r\][/tex]

[tex]\[9 = 2r\][/tex]

[tex]\[r = \frac{9}{2}\][/tex]

Substituting [tex]\( r = \frac{9}{2} \)[/tex] into the first equation, we find [tex]\( d = \frac{a}{2} \)[/tex].

Thus, [tex]\( a + 2 = a + \frac{a}{2} \)[/tex], and solving for [tex]\( a \)[/tex], we find [tex]\( a = 4 \)[/tex].

Then, using [tex]\( r = \frac{9}{2} \)[/tex], we find [tex]\( ar = 18 \) and \( ar^2 = 81 \)[/tex].

Therefore, the three numbers are 4, 18, and 81.

Explanation: All fractions positive or negative are rational numbers so 3/2 must be rational. Another way to think about rational numbers is that if you can turn the number into a fraction, it's rational. Since 3/2 is already in fraction form, it's a rational number.

Answer:

[tex]w=8.06[/tex]

Step-by-step explanation:

Given statement:

[tex]w[/tex] divided by -1.3 equals -6.2

The above statement can be written mathematically as:

[tex]\frac{w}{-1.3}=-6.2[/tex]

We need to solve for [tex]w[/tex].

Multiplying both sides by -1.3 to remove fraction and isolate [tex]w[/tex] on one side.

[tex]-1.3\times \frac{w}{-1.3}=(-6.2)\times (-1.3)[/tex]

∴ [tex]w=8.06[/tex]    [Product of two negatives is a positive]

Answer:

w = 8.06

Step-by-step explanation:

Answer:

16.5.

Step-by-step explanation:

This is an arithmetic series because the increase is a constant 0.30.

Sum of n terms = (n/2)[a + l)    where n = no.of terms a = first term , l = last term.

There are 3/ 0.3 = 10 terms so

Sum = (10/2) (0.3 + 3.0)

= 5 * 3.3

= 16.5.

Domain of the function f(x)=3x^3 is 2,5 what is the function range?

Answer:

The range of given function is {24, 375}

Solution:

Domain of the function is possible input of the function that is "x" and range of the function is possible output of the function that is f(x)

So we can substitute the given domain values of "x" in f(x) and find the range of function

As per the given question:

The domain of the function [tex]f(x) = 3x^3[/tex] is, [2, 5]

We have to find the range of the function

Substitute x = 2 in f(x)

[tex]f(x) = 3x^3[/tex]

[tex]f(2) = 3 (2)^3 = 3(8) = 24[/tex]

Substitute x = 5 in f(x)

[tex]f(5) = 3(5)^3 = 3 \times 125 = 375[/tex]

Therefore range of given function is {24, 375}

2.14 kilometers of road is built each day

Solution:

Given that road is 10 kilometers long

The crew worked for [tex]4\frac{2}{3}[/tex] days

To find: Kilometers of road build each day

Assume they built the same amount each day

Length of road = 10 km

number of days worked = [tex]4\frac{2}{3} = \frac{3 \times 4 + 2}{3} = \frac{14}{3}[/tex]

Kilometers of road build each day is given as:

Kilometers of road build each day = total length of road divided by number of days the crew worked

[tex]\rightarrow \frac{10}{\frac{14}{3}}=\frac{10}{1} \times \frac{3}{14}=2.14[/tex]

Thus 2.14 kilometers of road is built each day

Answer:

The distance cover by Mai's bike is 2 time the distance cover by Noah's bike

Step-by-step explanation:

Given as :

The distance cover by Mai's bike = [tex]d_1[/tex] = 7 [tex]\dfrac{1}{4}[/tex] miles

I.e [tex]d_1[/tex] = [tex]\dfrac{28+1}{4}[/tex] miles

Or, [tex]d_1[/tex] = [tex]\dfrac{29}{4}[/tex] miles

The distance cover by Noah's bike = [tex]d_2[/tex] = 3 [tex]\dfrac{5}{8}[/tex] miles

I.e [tex]d_2[/tex] = [tex]\dfrac{24 + 5}{8}[/tex] miles

Or,  [tex]d_2[/tex] = [tex]\dfrac{29}{8}[/tex] miles

let the number of times that Noah's bike ride was Mai's bike ride = n

So, The distance cover by Mai's bike = n × The distance cover by Noah's bike

Or, [tex]d_[/tex] = n ×  [tex]d_[/tex]

Or, [tex]\dfrac{29}{4}[/tex] miles =  n × [tex]\dfrac{29}{8}[/tex] miles

Or, n = [tex]\frac{\frac{29}{4}}{\frac{29}{8}}[/tex]

∴ n = [tex]\dfrac{8}{4}[/tex]

I.e n = 2

Hence The distance cover by Mai's bike is 2 time the distance cover by Noah's bike  . Answer

Answer:

1. Emily scored 60 points in the first round

2. Emily scored minus 30 points in the second round

3. Emily's final score is 15 points.

Step-by-step explanation:

1. Let's review all the information given to us to answer the questions correctly:

Points awarded for a correct answer = 20

Points deducted for a incorrect answer = 10

2. Let's calculate the score of Emily in the first round:

Score = 7 * 20 - 8 * 10

Score = 140 - 80

Score = 60

Emily scored 60 points in the first round

3. Let's calculate the score of Emily in the second round:

Score = 4 * 20 - 11 * 10

Score = 80 - 110

Score = - 30

Emily scored minus 30 points in the second round

4. Let's calculate the final score of Emily:

Final score = (Score 1st round + Score 2nd round)/2

Final score = (60 + - 30)/2

Final score = (60 - 30)/2 = 30/2 = 15

Emily's final score is 15 points.

Answer: 1

Step-by-step explanation:

6 times 2 minus 2y = 10

first 6x2=12

12-2y=10

minus 12 from each side =0

so now you have;

-2y= -2

divide & you get one!

<33333

The mean of 3.7,5, 9.2,4,6.1,5,2.6, 4,5.2,5 is 4.88.

Mean is referred in mathematics to as average of the mentioned numbers. Average can be virtually imagined as a center position giving every number equal weight. Average can be calculated by diving the sum of all the numbers by count of total numbers.

For example, 2, and 4 will have average of 3. Average of 2,3,4 will be also 3. This is because [tex]\frac{(2+4)}{2} = 3, and\ also\ \frac{(2+3+4)}{3} = 3[/tex].

So considering the above Question, count of all the above numbers is 10.

Sum = 3.7 + 5 + 9.2 + 4 + 6.1 + 5 + 2.6 + 4 + 5.2 + 5 = 488

Mean = Average = [tex]\frac{Sum}{Count}[/tex]

Mean = [tex]\frac{488}{10}[/tex] = 4.88

Answer:

its 4.88

Step-by-step explanation:

it was on my test

The value of x is 30

Solution:

Given that measure of exterior angle of regular polygon is 2x

The measure of interior angle is 4x

To find: value of x

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

measure of exterior angle + measure of interior angle = 180

2x + 4x = 180

6x = 180

x = 30

Finding the measure of an exterior angle

measure of exterior angle = 2x = 2(30) = 60 degrees

Finding the measure of interior angle

measure of interior angle = 4x = 4(30) = 120 degrees

Answer: I believe it’s -4/5

Step-by-step explanation:

The school council will have 216 small sandwiches.

Step-by-step explanation:

Sandwiches ordered = 12

Length of one sandwich = 6 feet

1 foot = 12 inch

6 feet = 12*6 = 72 inches

Length of one sandwich in inches = 72 inches

As one small sandwich is 4 inches,

Number of small sandwiches in one sandwich = [tex]\frac{72}{4}=18[/tex]

One sandwich = 18 small sandwiches

12 sandwiches = 18*12 = 216 small sandwiches

The school council will have 216 small sandwiches.

Keywords: multiplication, division

Learn more about multiplication at:

#LearnwithBrainly

Answer:

2514

Step-by-step explanation:

Do the long division and you'll find the answer.

Answer:

y=4x+8

Step-by-step explanation:

I assume you want this rewritten in slope intercept form. That means we need to isolate the y.

-4x+y=-8

Add 4x to both sides

y=-8+4x

Now let's rewrite it in slope intercept form. Recall slope intercept form is y=mx+b. That means our 'b' (8) must be on the end of the equation.

y=4x+8

Answer:

y-1=-3/5(x-3)

Step-by-step explanation:

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

m=(4-1)/(-2-3)

m=3/-5

m=-3/5

y-y1=m(x-x1)

y-1=-3/5(x-3)

Answer:

The probability of winning = 0.001 and hence the expected payoff = $0.

Step-by-step explanation:

There is a lottery contest and there are 1000 entries.

Only one will win and will get a prize of $710. All others would be given nothing.

We have to find the probability of the person winning.

Probability = [tex]\frac{number of favorable events}{total number of events}[/tex]

Number of favorable events = 1

Total number = 1000

So probability of winning the payoff = [tex]\frac{1}{1000}[/tex] = 0.001

Hence the expected payoff = $0

Answer:

B, C, D

Step-by-step explanation:

The information given about the teachers is limited to the fact they teach preschool.

B and D. If a teacher has more experience teaching, they are probably better at teaching. Even if the subject is not reading, they gain transferable teaching skills with experience.

C. Although both teachers teach preschool, one may have many more years of experience or other qualifications, which will likely help them to teach better in generally.

A. The samples 30 and 40 students in a typical class are enough to show different students' various learning styles and strengths. The sample size is big enough.

Answer:

max.600,000

min.595,000

Step-by-step explanation:

Question:

before last nights game a basketball player has scored an average ( arithmetic mean) of 20 points per game . she scored 25 points in last nights game raising her average go 21 points per game. how many games did she play before last night's game

Answer:

She played 4 games before last night's game

Step-by-step explanation:

Given:

Average of last night basketball games = 20

Points scored in last night game =  25

Rise in average after last night game =  21

To Find:

The number  of games played last night = ?

Solution:

Let the number of games played before last night's game be x

Then

The average of x games =20

That is

[tex]\frac{\text{ Total points scored in x games}}{x}= 20[/tex]

Total  points scored in x games = 20x

In last night game she scored 25 points

So now the total score will be  = 20x+25 and

the number of games will be x+1

Now the

The average of x+1 games = 21

[tex]\frac{20x+25}{x+1}[/tex] =21

[tex]20x+25 =21 \times (x+1) [/tex]

[tex]20x+25 =21x+ 21[/tex]

[tex]25-21 =21x-20x[/tex]

x=4

Answer:

n+16

Step-by-step explanation:

21+(n-5)=21+n-5=n+21-5=n+16

To find the width of each strip, divide the total width of the cloth by the number of strips required.

To find the width of each strip, we need to divide the total width of the cloth by the number of strips required. Let's assume the width of the cloth is W. So, each strip would get a width of W/10.

Answer: The variable is 3.

Step-by-step explanation: 5x3=15. 15+8=23

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