A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 5 and the coin landing on tails?

Answer:

252 bags of maize

Step-by-step explanation:

From the question, we are told that a farmer harvested maize

In the year 2012 = 144 bags of maize

In the year 2013(following year) the harvest decreased in the ratio 3:4

This means

3:4 = 2013: 2012.

Where number of bags harvested in 2013 = unknown = x

3/4 = x/ 144

Cross multiply 4x = 3 × 144

x = 3 × 144/ 4

× = 108

This means 108 bags of maize was harvested in 2013

The total number of bags harvested is = 108 + 144

= 252 bags of maize.

Answer:1/11

Step-by-step explanation:

Let the yellow cubes be x

yellow = x

blue = 2x                // Blue cubes is twice of yellow

Green = 8x              // Green is four times of blue

Ratio:

Yellow : Blue : Green

  1       :   2    :     8

P(Yellow) = 1/11

Answer:

1

Step-by-step explanation:

=> [tex]\sqrt[3]{1}[/tex]

=> [tex]\sqrt[3]{1*1*1}[/tex]

=> [tex]\sqrt[3]{1^3}[/tex]

=> 1

Answer:

p = 8

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 4 + 5p and d = 5, then

a₁ + 8d = 4 + 5p, that is

a₁ + 8(5) = 4 + 5p

a₁ + 40 = 4 + 5p ( subtract 40 from both sides )

a₁ = 5p - 36

a₂ = 5p - 36 + 5 = 5p - 31

a₃ = 5p - 31 + 5 = 5p - 26

a₄ = 5p - 26 + 5 = 5p - 21

Given that the sum of the first 4 terms = 7p - 10, then

5p - 36 + 5p - 31 + 5p - 26 + 5p - 21 = 7p - 10, that is

20p - 114 = 7p - 10 ( subtract 7p from both sides )

13p - 114 = - 10 ( add 114 to both sides )

13p = 104 ( divide both sides by 13 )

p = 8

Answer:

d. The two triangles are not congruent because dilation is not a rigid motion.

Step-by-step explanation:

Triangle ABC is dilated about the origin b a factor of 2. It is then reflected and translated to form Triangle XYZ.

The new triangle formed is not congruent to ABC because the image is not the same size as the pre-image. It is only rigid transformations that preserve length, however dilation is not a rigid transformation.

Answer: i) 12.5%       ii) 87.5%        iii) 23.4%

Step-by-step explanation:

There are two die, each with 8 sides so the total number of outcomes is 8²

i) Product is a prime number --> 2, 3, 5, 7

Since it is a prime we only have the option of one die being a 1 and the other being the prime number.

So possible successful outcomes is: (1, 2), (1, 3), (1, 5), (1, 7), (7, 1), (5, 1), (3, 1), and (2, 1) = 8 options.

[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{8}{8^2}=\dfrac{1}{8}=\large\boxed{12.5\%}[/tex]

ii) Not a perfect square.  Let's find the probability that it IS a perfect square and subtract that value from the total (64).

Product IS a perfect square --> 1, 4, 9, 16, 25, 36, 49, 64

Possible successful outcomes of a perfect square: (1, 1) (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8) = 8 options.

Product is NOT a perfect square = 64 - 8 = 56 options

[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{56}{8^2}=\dfrac{7}{8}=\large\boxed{87.5\%}[/tex]

iii) Product is a multiple of 5 --> 5, 10, 15, 20, ,25, 30, 35, 40,

Possible successful outcomes of a multiple of 5: (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5), (7,5), (8, 5), (5, 8), (5, 7), (5, 6), (5, 4), (5, 3), (5, 2), (5, 1) = 15 options

[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{15}{8^2}=\dfrac{15}{64}=\large\boxed{23.4\%}[/tex]

You are limited to 3 questions on Brainly so hopefully you can follow what I did to answer the last two questions (less than or equal to 21) and (divisible by 4 or 6). If not, please post this question again and state "Need iv and v only".

Answer:

Step-by-step explanation:

If Marios share is 3 parts and is £96, then

Find one part = 96/3 = 32

So,

Rachel receives = 32 x 4 = £128

Sanjay receives = 32 x 9 = £288

Hope this helps

Answer:

14 weeks and 2 days.

Step-by-step explanation:

Divide 100 days by 7, because there are 7 days in 1 week.

100/7 = 14.2857

0.285714 = 2/7

The answer is 14 weeks and 2 days.

Answer:

there are 100 days

there are 7 days in a week so we divide the days by 7

100days/7days

14.2weeks≈14 weeks are there in 100days

Step-by-step explanation:

i hope this will help you :)

Answer:

1.9

Step-by-step explanation:

i just took the quiz

Answer:

Solve by Substitution 3x+2y=7 , y=-3x+11. 3x+2y=7 3 x + 2 y = 7 ... y=−4 y = - 4. x=5 x = 5. The solution to the system of equations can be represented as a point.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Since we know the amounts of each vitamin per serving all we have to do is find the difference.

We do this by subtracting 90 from 125.

125 - 90 = 35

Answer:

5

Step-by-step explanation:

A pentagon is a polygon that has 5 sides.

Answer:

A pentagon has 5 sides

Step-by-step explanation:

penta, often means 5.

Answer:

Area = 105 cm^2

Step-by-step explanation:

Area = (9x6) + (6x6) + 0.5(5x6)

= 54+36+15

=105 cm^2

Best Regards!

Answer:

Value of stamp collection = (45b + 43) cents

Step-by-step explanation:

What we have here is as follows;

if there are x 3-cent stamps, then there are 4x 10-cent stamps

So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps

Number of 2 cents stamps = b

This means that x-1 = b

Thus, x = b + 1

So the value of the stamp collection is as follows;

x 3 cents stamps = 3(b+ 1) = 3b + 3 cents

4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40

value of the 2 cents stamp = 2b cents

Total value is thus;

2b + 40b + 40 + 3b + 3 = (45b + 43) cents

Answer:

45b + 43 cents

Step-by-step explanation:

45b + 43 cents

Answer:

[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]

[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]

[tex] = \frac{ + 2}{4} [/tex]

[tex] = + \frac{1}{2} [/tex]

Here's your answer girlfriend

Please follow me

Answer:

The fourth statement is true

Step-by-step explanation:

the table does not represent all possibilities, because the function is limited to zero tickets

Thus, this statement is false

the carnival never costs least, because the aquarium costs less, and the pool may cost even less if there is a group of 4

Thus, this statement is false

the aquarium not always costs the most, since it cost 14.50$ each ticket, while the wave pool may have tickets 16.75 each

Thus, this statement is false

the aquarium cost may be represented by the equation:

y=14.50x

now, we put in the ordered pair coordinates:

101.5=14.50*7

101.5=101.5

Thus, this statement is true

Answer:

correct 4 edge 2020

(7, 101.5) is an ordered pair used to represent the aquarium cost.

Step-by-step explanation:

Gale wants to compare the cost of the events.

Aquarium: $14.50 each ticket

Carnival: c = 15.5 + 12f

Wave pool: $16.75 each, but $12.25 each for groups larger than 4

Which of the claims Gale makes is true?

The table represents all possibilities.

The carnival always costs the least.

The Aquarium always costs the most.

(7, 101.5) is an ordered pair used to represent the aquarium cost.

Answer:

The transformation is

reflection in the x axis

That's ( x , - y)

Hope this helps.

The range of f(x) would be -2, -1, .0, 1.

The range of the function is depicted by the points that the blue lines make on the graph. Thus we have the first blue line on point, -2. This gradually progresses to -1 and then 0 and 1 on the y-axis.

The range of a function refers to the values that are covered by the expression and the values, -2, -1, .0, and 1 represent the function. Option B is right.

Learn more about the range of a function here:

https://brainly.com/question/7954282

#SPJ2

Answer:

[tex]a)365 \\ b)700 \\ c)76.5[/tex]

Step-by-step explanation:

[tex]a)360 + 5 \\ = 365[/tex]

Because each dash represent 10 and it's represent 5 in between of two dashes.

[tex]b)700[/tex]

Because each dash represent 100

[tex]c)76.5[/tex]

Because each dash represent 0.5

Hey there! :)

Answer:

125.

Step-by-step explanation:

When g(x) = -1:

g(-1) = 2(-1) + 7

g(-1) = -2 + 7

g(-1) = 5

Plug this into f(x) since the question is asking for f(g(x)):

f(x) = x³

f(5) = 5³

f(5) = 125.

Answer:

-1

Step-by-step explanation:

f(x) = x^3

g(x) = 2x + 7

f(g(x)] =

Let g(x) = -1

Replace g(x) with -1

f(g(x) = f(-1) = (-1)^3 = -1

Answer:

a(8) = -49152

Step-by-step explanation:

Step 1: Find r

-12/3 = 4

Step 2: Write geometric explicit formula

[tex]a_{n} = 3(4)^{n-1}[/tex]

Step 3: Plug in 8th term for n

[tex]a_{8} = 3(4)^{7}[/tex]

a(8) = -49152

Alternatively you can find r then multiply 3 by -4 8 times.

Answer:

I'm pretty sure the correct answer is

D. None of the choices are correct

Step-by-step explanation:

The most likely answer would be AHL ~ NKG, it all depends on the order you put it in. However that is not one of the options so the answer is D.

Hope this helps!

- Quinn <3

Answer:

-4

Step-by-step explanation:

Hello,

let say that [tex]x_1[/tex] and [tex]x_2[/tex] are two zeros of second order polynomial

it can be then be written

[tex](x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1*x_2[/tex]

So when we check this expression

[tex]x^2+4x+7[/tex]

we can say that the sum of zeros is -4

and the the product of zeros is 7

to note that in this example there are no real root of this equation

[tex]x^2+4x+7=0[/tex]

here, the zeros are complex numbers not real ones

if I have to solve it in [tex]\mathbb{R}[/tex] I would say that there are no zeros so their sum is not defined

if I have to solve it in [tex]\mathbb{C}[/tex] I would say that there are two complex roots and their sum is -4

hope this helps

Answer:

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

Step-by-step explanation:

The n th term rule for a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = 1 and r = 3 ÷ 1 = 3 , thus

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

Answer:

fsdfsdf

Step-by-step explanation:

ghlvlc

Answer:

X = 15, the missing length (c) is 10

Step-by-step explanation:

Using Pythagorean’s Theorem we know that a^2 + b^2 = c^2

We have side a and b, represent a as 6 and b as 8.

We have 6^2 + 8^2 = c^2

Which equals 100 = c^2

10 = c

Side C is 10, and (x - 5) = 10

X = 15

Please mark BRAINLIEST!

Answer: x ≅ 15.95

Step-by-step explanation:

Use the pythagorean theorem for right triangles x^2 + y^2 = s^2

6^2 = 36

8^2 = 64

(x - 5)^2 requires FOIL. Unfortunately Im going to do this on paper. Its essentially First Outside Inside Last. i got x^2 - 10x + 25

Lets now add 36 and 84 and make it equal to the trinomial we just got.

[tex]120=x^2-10x+25[/tex]

Now lets subtract 120 from both sides to get:

[tex]0=x^2-10x-95[/tex]

You could complete the square, I think. But im going to use the quadratic formula. [tex]\frac{-b +/- \sqrt{b^2-4ac} }{2a}[/tex]Im going to calculate this on paper for simplicity's sake. Im getting an answer of about [tex]\frac{10(+/-)21.909}{2}[/tex]

Solve by adding and then solve by subtracting to get x ≅ 15.95 and x = -5.95. We cant have a negative side length so we can disregard that negative answer.

Answer:

Either £16 or £26.32 depending on what you meant in the question

Step-by-step explanation:

I'm going to answer the question in 2 ways, since I'm not sure if you mean £14 or 14%

If its £14, then the original price is 30-14 = £16

If its 14% then that means after the increase, the shirt will be 100%+14% of the original price or 114% of the original price.

This means that

£30 = 114%

To make it easier, reduce the 114% to 1 %

1% = 30/114

1% = £0.26316

100% = £26.32 (rounded to 2 decimal places)

Therefore the original price was £26.32

Answer:

Answers are below

Step-by-step explanation:

12) No because the scale factor is not the same between the two rectangles

13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.

14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.

15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.