Help me solve this problem please

Answer:

5/14

Step-by-step explanation:

There are 15 tiles in total

5 white| 6 black | 4 blue

event A results in the subject pulling a white tile and not replacing it

5-1= 4

so the first answer should be 4/15

event B results in the subject pulling another tile, a black one and not replacing it.

6-1= 5

given this answer, there is one less tile in the total, since we removed another tile.

So our answer would be-

5/14 or D

Answer:

A) The sequence is {-23, -15, -7, 1,...}

The common difference of the sequence above, d = 8

The first term, a = -23

The number of terms, n = 15

The recursive formula is, aₙ = aₙ₋₁ + d

Using the recursive method gives;

a₅ = a₍₅₋₁₎ + d

Where;

a₍₅₋₁₎ = 1

Therefore, a₅ = 1 + 8 = 9, a₆ = 9 + 8 = 17, a₇ = 17 + 8 = 25, a₈ = 25 + 8 = 33, a₉ = 33 + 8 = 41, a₁₀ = 41 + 8 = 49, a₁₁ = 49 + 8 = 57, a₁₂ = 57 + 8 = 65 a₁₃ = 65 + 8 = 73, a₁₄ = 73 + 8 = 81, a₁₅ = 81 + 8 = 89

The 15th term of the sequence, {-23, -15, -7, 1,...}, a₁₅ = 89

We check by using explicit formula to get, aₙ = a + (n - 1)·d

Therefore

a₁₅ = -23 + (15 - 1)×8 = 89

B) The given sequence is B) {5 5.25, 5.50, 5.75,...}

The common difference, d = 0.25

The first term, a = 5

The required number of terms, n = 15

Using the recursive method gives;

a₅ = a₍₅₋₁₎ + d

Where;

a₍₅₋₁₎ = a₄ = 5.75

Therefore, a₅ = 5.75 + 0.25 = 6

a₆ = 6 + 0.25 = 6.25, a₇ = 6.25 + 0.25 = 6.5, a₈ = 6.5 + 0.25 = 6.75, a₉ = 6.75 + 0.25 = 7, a₁₀ = 7 + 0.25 = 7.25, a₁₁ = 7.25 + 0.25 = 7.5, a₁₂ = 7.5 + 0.25 = 7.75, a₁₃ = 7.75 + 0.25 = 8, a₁₄ = 8 + 0.25 = 8.25, a₁₅ = 8.25 + 0.25 = 8.5

The 15th term, of the sequence, {5 5.25, 5.50, 5.75,...}, a₁₅ = 8.5

We check by explicit formula to get, aₙ = a + (n - 1)·d

Therefore

a₁₅ = 5 + (15 - 1)×0.25 = 8.5

Step-by-step explanation:

Answer:

70.686 [tex]m^{2}[/tex]

Step-by-step explanation:

A=2πrh (area of cylinder without top or bottom)

A = 2[tex]\pi[/tex](2.5)(9)

A = 141.372

divide by two for half of pipe.

A = 70.686

Answer:

The probability of finding aleast one or more defective charmins = 0.40951

Step-by-step explanation:

The probability of not finding a defective charmin = 1

probability of finding defective charmain = 1-0.1 =0.9

The probability of not finding all five defective item =

Then,

probability of not finding all five defective item=0.59049

Thus,

The probability of finding atleast one or more defective chairmins = 1-0.59049

Therefore,

The probability of finding atleast one or more defective chairmins =0.40951

Answer:

Step-by-step explanation:

Since f(x) = k, is constant the value of k is same for any x.

From the given points we see:

It means k = 1 and the function is:

The value of f(0) = 1

Answer:

26 hours

Step-by-step explanation:

Add all of them up and get 26

Step-by-step explanation:

Cos A = 40^2 + 25^2- 34^2 ÷ (2×40×25)

= 200+625-1156 ÷ (2000)

= 1069 ÷2000

Cos A = 0.5345

A= cos inverse 0.5345

A = 57.7

Answer:

57.7

Step-by-step explanation:

took the test

Answer:

88%

Step-by-step explanation:

to initial price (100%) was increased by 10% (resulting in 110% of the initial price).

then these 110% were decreased by 20%.

so, the final price is actually 80% of 110% of the initial price

20/100 = 1/5

80/100 = 4/5

so, the customer pays only 4/5 of the 110% price.

110 × 4/5 = 22 × 4 = 88%

so, the final price was 88% of the initial price

Answer:

any number

Step-by-step explanation:

It is because all real numbers are solutions to this

Answer:

x = infinite solutions

Step-by-step explanation:

[tex]\frac{2}{3}(6x+ 3) = 4x + 2\\\\\frac{12}{3}x + \frac{2 \times 3}{3} = 4x + 2\\\\4x + 2 = 4x + 2 \\\\Which\ is \ true \ for \ all \ values \ of \ x.[/tex]

Step-by-step explanation:

Simple interest=principal x rate x time÷100

amount borrowed=$500

I=$500x7x6÷100

I=$210

therefore you will pay

amount borrowed+interest

$500+$210

$710

hope this is helpful

Answer:

La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Step-by-step explanation:

Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:

35 / 2 = Mayor = 17.5 perlas

35 / 3 = Medio = 11.66 perlas

35 / 9 = Menor = 3.88 perlas

Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Answer:

x

Step-by-step explanation:

The cube root of x to the power of 3 is

( [tex]\sqrt[3]{x}[/tex] )³ = ( [tex]x^{\frac{1}{3} }[/tex] )³ = x

or

[tex]\sqrt[3]{x^3}[/tex] = x

Answer:

x=13

y= -9

(13, -9)

Step-by-step explanation:

If we are solving using the substitution method, we can take the first equation and set it to y so y=4-x.

Then, we can take that equation and plug it into the bottom one so

3x+4(4-x)=3

Simplify:

3x+16-4x=3

-x=-13

x=13

We can then plug 13 into any of the two given equations (I am just going to plug it into the top one)

So, 13+y=4 which y= -9

Answer: X = 8

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

You should not expect more than 34 times to be favorable, because favorable outcomes are about 28% of outcomes, and 28% of 100 is 28, which is less than 34.

6/21 outcomes will be favorable.

Here is a list of all possible :

1 - 1

1 - 2

1 - 3

1 - 4

1 - 5

1 - 6

2 - 2

2 - 3

2 - 4

2 - 5

2 - 6

3 - 3

3 - 4

3 - 5

3 - 6

4 - 4

4 - 5

4 - 6

5 - 5

5 - 6outcomes29 out of every 100 outcomes will likely

6 - 6

One or two of the underlined outcomes have a three. The total number of outcomes is 21, and six of them include 3's. Therefore, when we multiply 6/21 by .286, we get 28.6%.  be favorable.

Hope this helps! : )

Answer:

7

Step-by-step explanation:

trio meaning 3 quartet (quart) 4

Answer:

2

Step-by-step explanation:

if you're looking at the table and you heard of rise/run, your rise is -10 if you go down from (6,6) and -5 if you go left to reach (1,-4). That will give you -10/-5 which gives you a positive 2. it would be the same if you went up 10 from (1,-4) and then 5 right to reach (6,6).

Answer:

the 4th option

Step-by-step explanation:

the 4th one

Answer:

D. 2.99x + 12.99y = 43.92

Step-by-step explanation:

1 pair of socks costs $2.99

x pairs of socks cost 2.99x

1 blouse costs $12.99

y blouses cost 12.99y

The total cost is the sum of the two costs

2.99x + 12.99y

We are told the total cost is $43.92

2.99x + 12.99y = 43.92

Answer: D. 2.99x + 12.99y = 43.92

There are 3 even numbers out of 6 total numbers.

Rolling an even number would be 3/6 = 1/2

She would expect half the rolls should be even.

144/2 = 72

The answer is 72 times.

Answer:

I think B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\sqrt{y^3} +\sqrt{9y^3} -3y\sqrt{y} \\=\sqrt{y^2 *y} +\sqrt{9*y^2*y} -3y\sqrt{y} \\=y\sqrt{y} +3y\sqrt{y} -3y\sqrt{y} \\=y\sqrt{y}[/tex]

Answer:

R'  (-4 , 1)

Step-by-step explanation:

Rotation of 90°

(Clockwise)

(x, y) ----> (y, -x)   (take opposite of x, then switch the x and y)

Rotation of 90°

(CounterClockwise)

(x, y)------>(-y, x)

Rotation of 180°

(Both Clockwise and Counterclockwise)

(x, y) ----->(-x, -y)

Rotation of 270°

(Clockwise)

(x, y) ----->(-y, x)

Rotation of 270°

(CounterClockwise)

(x, y)------>(y, -x)

Answer:

The answer is: R'(-4,1).

Step-by-step explanation:

If the 90 degree angle is clockwise, the new figure will be in quadrant 2 (or in the section directly above the pre-image). Therefore, (x,y) maps to (y,-x), which will give us (-4,1).

Question options:

A. Yes, Walter is correct.

B. No 3.612 is less than 13.

C. No, both 3.612 and 3.622 are greater than

D. No, both 3.612 and 3.622 are less than 13

Answer:

C. No, both 3.612 and 3.622 are greater than the square root of 13

Explanation:

13 is a prime number and must have a decimal number as its square root and so the square root should be between √9 and √16

Using the Newton Raphson method to estimate the square root of 13 with the formula: ai +1= ai²+n/2ai

We get square root of 13 = 3.6055512

This is the same result we get using a calculator to calculate square root of 13= 3.6055512

So yes Walter is not correct

Answer:

Step 3

Step-by-step explanation:

Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?

Given :

4(x - 1/5) = 2 2/3

Open the bracket

4x - 4/5 = 2 2/3

Add 4/5 to both sides

4x - 4/5 + 4/5 = 8/3 + 4/5

Lcm of 3 and 5 = 15

4x = (40 + 12) / 15

4x = 40/15 + 12/15

4x = 52/15

Multiply by 1/4

4x * 1/4 = 52/15 * 1/4

x = 52 / 60

x = 13 / 15

Hence, the error is in step 3

15/5 * 3 = 12

Rather ; Leonardo wrote 16

Answer:

C

Step-by-step explanation:

use Pythagorean theorem

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

c is the longest side

if [tex]a^{2}[/tex] + [tex]b^{2}[/tex] > [tex]c^{2}[/tex] then it's acute (greater than)

if [tex]a^{2}[/tex] + [tex]b^{2}[/tex] < [tex]c^{2}[/tex] then it's obtuse   (less than)

if they are equal, then its a right triangle

[tex]6^{2}[/tex] + [tex]10^{2}[/tex] = [tex]12^{2}[/tex]

36 + 100 = 144

136 = 144

136 < 144   obtuse

The correct classification for this triangle is:

obtuse, because 6² + 10² < 12²

Option C is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To determine the classification of a triangle based on its side lengths, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, we have a triangle with side lengths of 6 cm, 10 cm, and 12 cm. Checking the sum of the lengths of each pair of sides, we have:

6 + 10 = 16 > 12

6 + 12 = 18 > 10

10 + 12 = 22 > 6

Since all three pairs satisfy the triangle inequality theorem, the given side lengths do form a valid triangle.

Next, we can use the law of cosines to determine the measure of the largest angle in the triangle, which will allow us to classify it.

The law of cosines states that, for a triangle with side lengths a, b, and c, and the angle opposite c denoted as C, we have:

[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]

In this case, the side lengths are a = 6 cm, b = 10 cm, and c = 12 cm. Substituting these values into the formula and solving for cos(C), we get:

cos(C) = (6² + 10² - 12²) / (2 x 6 x 10)

cos(C) = -1/5

Since the cosine function is negative for angles between 90 and 180 degrees, we know that angle C is obtuse.

Therefore,

The correct classification for this triangle is:

obtuse, because 6² + 10² < 12²

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

Answer:

(i) The value of m when t = 30 is 13.2

(ii) The value of t when the mass is half of its value at t=0 is 34.7

(iii) The rate of the mass when t=50 is -0.18            

Step-by-step explanation:

(i) The m value when t = 30 is:

[tex] m = 24e^{-0.02t} = 24e^{-0.02*30} = 13.2 [/tex]

Then, the value of m when t = 30 is 13.2

(ii) The value of the mass when t=0 is:

[tex] m_{0} = 24e^{-0.02t} = 24e^{-0.02*0} = 24 [/tex]    

Now, the value of t is:

[tex] ln(\frac{m_{0}/2}{24}) = -0.02t [/tex]

[tex] t = -\frac{ln(\frac{24}{2*24})}{0.02} = 34.7 [/tex]

Hence, the value of t when the mass is half of its value at t=0 is 34.7

(iii) Finally, the rate at which the mass is decreasing when t=50 is:

[tex] \frac{dm}{dt} = \frac{d}{dt}(24e^{-0.02t}) = 24(e^{-0.02t})*(-0.02) = -0.48*                            (e^{-0.02*50}) = -0.18 [/tex]

Therefore, the rate of the mass when t=50 is -0.18.

I hope it helps you!                  

9514 1404 393

Answer:

  72°

Step-by-step explanation:

In a properly constructed pie chart, the proportion of the circle devoted to each section is the same as the proportion of that section to the the whole.

  (6 swim days)/(30 days) = (swim pie angle)/(360°)

Multiply by 360° to find ...

  swim pie angle = (360°)(6/30) = 72°

72° of the circle should represent swimming.

Answer:

Step-by-step explanation:

sorry bout the poor drawing but it should be legible

Answer:

Step-by-step explanation:

The formula to find the midpoint of a segment is

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] and we have the midpoint and we also have a coordinate of (5, 4). Let's let x₁ = 5 and y₁ = 4. Filling in what we have:

[tex](2,1)=(\frac{5+x_1}{2},\frac{4+y_2}{2})[/tex] and we'll deal with the x terms first. The x coordinate of the midpoint is 2, so:

[tex]2=\frac{5+x_2}{2}[/tex] and multiply both sides by 2 to get rid of the denominator to get:

4 = 5 + x₂ so

x₂ = -1. Going on to the y coordinate. The y coordinate of the midpoint is 1, so:

[tex]1=\frac{4+y_2}{2}[/tex] and again multiply both sides by 2 to get rid of the denominator to get:

2 = 4 + y₂ so

y₂ = -2

The coordinates of T are (-1, -2)