1. Use the figure below to answer the questions.

(a) Solve for x.

Answer:

i have know

Step-by-step explanation:

Answer:

the expression is 5 - 8

which is -3

or

the expression is 5 < 8

Answer:

The total numbers of songs disc jockey have = 4055 songs

Step-by-step explanation:

As given, A disc jockey has 2 types of files :

1 : Albums

2 : Singles

Given that , in every album there is 14 songs

as we have 277 albums

So, total numbers of songs in 277 albums = 277×14 = 3878 songs    ........(1)

Now,

Given that, in each singles there is 1 song

As we have 177 singles

So, total number of songs in 177 singles = 177×1 = 177 songs      ..........(2)

So, the total numbers of songs disc jockey have = Total number of songs in 277 albums + total number of songs in 177 singles

⇒The total numbers of songs disc jockey have = 3878 + 177

                                                                               = 4055 songs

∴ we get

The total numbers of songs disc jockey have = 4055 songs

Answer:

[tex]P(Pink) = \frac{1}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

[tex]Probability = \frac{3}{64}[/tex] --- Two pink and One black

Step-by-step explanation:

Represent the pink skin with P and the black skin with B.

Since black skin is dominant to pink skin, there will be more occurrence of B than P

The punnet square for the breeding of the two pigs is then represented as:

[tex]\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}[/tex]

Solving (a): Probability of Pink

In the above square, there is only 1 occurrence of P out of a possible of 4.

So, the probability is:

[tex]P(Pink) = \frac{n(P)}{4}[/tex]

[tex]P(Pink) = \frac{1}{4}[/tex]

Solving (b): Probability that first and second are black

In the above square, there is only 3 occurrence of B out of a possible of 4.

[tex]P(Black) = \frac{n(B)}{4}[/tex]

[tex]P(Black) = \frac{3}{4}[/tex]

So, the probability that both are black is:

[tex]P(Both\ Black) = P(Black) * P(Black)[/tex]

[tex]P(Both\ Black) = \frac{3}{4} * \frac{3}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

Solving (c): Probability of two pink and 1 black

This is calculated as:

[tex]Probability = P(Pink) * P(Pink) * P(Black)[/tex]

[tex]Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}[/tex]

[tex]Probability = \frac{3}{64}[/tex]

A) The probability that their offspring will have pink skin is; ¹/₄

B) The probability that the first and second off- spring will have black skin is;

9/16  or 56.25%

C) The probability that two will be pink and one will be black  If the pigs produce a total of three piglets is; ³/₆₄ or 4.6875%

To answer this question, we need to first understand Mendel's law of dominance. This law states that in a heterozygote, one trait will conceal the presence of another trait for the same characteristic. This means that the dominant trait always conceal the recessive trait.

Now in this question, we are told that;

Let's denote the black color gene by ‘P’ and pink colour by ‘p’. Therefore, if cross is held between these two genes then according to mendel's law, the heterozygous pigs is specified as "Pp"

Now when the heterozygous pigs specified as "Pp" are crossed, we have;

Pp × Pp = PP, Pp, Pp, pp

where;

(a) From the 4 cross possibilities above;

Probability that their offspring will have pink skin = ¹/₄

(b) From the 4 cross possibilities gotten earlier;

Probability that their offspring will have black skin = ³/₄

Thus;

Probability that the first and second off- spring will have black skin is;

³/₄ × ³/₄ = 9/16  or 56.25%

(c) We are told that the pigs produced a total of three piglet. Thus, the probability that two will be pink and one black will be black is;

P(2 pink and 1 black) =   ¹/₄ × ¹/₄ × ³/₄ = ³/₆₄ or 4.6875%

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Answer:

15lb chicken 30 oz. soy sauce 5lb. green peppers

2 1/2 lb. scallions 10 oz. ginger

10 cups Water

To make 60 proportions of Stir Fried Chicken requires 15lbs of chicken,

30 oz of soy sauce, 3 lb. green peppers, 5/2 lb scallions, 10 oz ginger, and 10 cups Water.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given  12 portions of  Stir-Fried Chicken requires 3 lb chicken 6 oz.

soy sauce 1 lb. green peppers

1/2 lb scallions

2 oz ginger

2 cups Water.

∴ To make 60 proportion or (12×5) proportion we have to multiply each ingredient by a factor of 5.

So,  60 proportions of  Stir-Fried Chicken requires (3×5) = 15lbs of chicken,

(6×5) = 30 oz of soy sauce,  (1×3) = 3 lb. green peppers, (1/2×5) = 5/2 lb scallions, (2×5) = 10 oz ginger and (2×5) = 10 cups Water.

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Answer: Identify and use the commutative properties for addition and multiplication. Here, the same problem is worked by grouping 5 and 6 first, 5 + 6 = 11. The example below shows how the associative property can be used to simplify. The sum is 14. 7 + 2 + (8.5 + (−3.5)). 7 + 2 + 5. 9 + 5. 14. Group 8.5 and –3.5=5

Step-by-step explanation:

Answer:

7 × (9 + 6) = (7 × 9) + (7 × 6)

Step-by-step explanation:

Answer:

$1101

Step-by-step explanation:

Given data

A= $1,172.60

R= 3.2 = 0.032

t= 2

The expression for compound interest is

A= P(1+r)^t

Substitute

1172.60=P(1+0.032)^2

1172.60=P(1.032)^2

1172.60=P1.065

Divide both sides by 1.065

1172.60/1.065= P

P=$1101

Hence the original amount is $1101

Answer:

its 180

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

15x30=450

Answer:

5.7 meters

Step-by-step explanation:

Since the duct tape is to be placed along the diagonal of the square window, Considering the shape formed by one diagonal and two sides of the window. This shape is a right angle triangle.

The diagonal represents the hypotenuse while the sides are the opposite and adjacent. Using Pythagoras theorem, let the length of the diagonal be h

h^2 = 2^2 + 2^2

= 4 + 4

= 8

Taking the root of both sides

h = √8

= 2.828 meters

considering that the duct tape is needed for 2 diagonals, the total length required

= 2.828 * 2

= 5.656

To the nearest tenth of a meter, this becomes

= 5.7 meters

Answer:

The formula used to find area of circle is: [tex]Area=\pi \:r^2[/tex]

Step-by-step explanation:

We need to find area of the circle

(Note: The data is missing in this question, so I will just explain how to find area of circle.)

The formula used to find area of circle is: [tex]Area=\pi \:r^2[/tex]

where r is radius of circle.

So, If we have value of r and we put π = 3.14, we can find area of circle.

Let us suppose that Radius of circle r = 5

Now, the area of circle having radius 5 is:

[tex]Area=\pi \:r^2\\Area=3.14 \times (5)^2\\Area=3.14\times 25\\Area=78.5[/tex]

So, when radius of circle is 5, Area of circle is 78.5

So, Using the radius given in your question, you can find area of circle.

The Answer Is:

3 and 10

Answer:

(2.5,-0.5)

Step-by-step explanation:

3x-y=8

x+y=2

4x=10

x=2.5

x+y=2

2.5+y=2

y=-0.5

ANS: (2.5,-0.5)

Answer:

C. 37.8

Step-by-step explanation:

Original Price is 54 dollars

30% Discount=0.3*54=16.2

Price after 30% off

54-16.2=37.8

Answer:

Width X Lenght =Area

Step-by-step explanation:

3 X 4= 12m

Answer:

y=6

Step-by-step explanation:

y=3x     x=2

y=3(2)

y=6

For the given expression, the value of y is 6.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ y = 3x

Now, For value of x = 2;

The value of y is,

⇒ y = 3x

Substitute x = 2;

⇒ y = 3 × 2

⇒ y = 6

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Answer: 3481

Step-by-step explanation:

9514 1404 393

Answer:

  30th

Step-by-step explanation:

The least common multiple of 10 and 15 is 30.

  30 = 10×3 = 15×2

The 30th customer will be the first to receive both promotional items.

Answer:

The answer is 3.5. I have included a screenshot that shows the work and how to get 3.5. I hope this helps!

And by the way yes, I do know this is a kinda old question, but I would like points and I have the answer.

:D

- Your friendly (a little bit late) responder!

When you divide 0.63 by 0.18, you get the result of 3.5.

To find the result of dividing 0.63 by 0.18, perform the division as follows:

0.63 ÷ 0.18 = 3.5

When you divide 0.63 by 0.18, the result is 3.5. This means that there are 3.5 sets of 0.18 in 0.63. To verify this, you can multiply 0.18 by 3.5:

0.18 × 3.5 = 0.63

So, 0.63 divided by 0.18 equals 3.5.

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Answer:

i think it’s D

i hope i help you but if nop DO NOT FORGET STAY SAFE AT HOME

Answer:

The answer is D- $- 51.70

The answer choke represents the balance in her account on Thursday is  D $-51.70

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Luisa deposits $44.60 to her bank account on Tuesday morning. on Wednesday, she withdraws $66.30 on Thursday, she wildew $30

Using the data from the question, we can create the following equation to solve.

44.60 - (66.30 + 30 ) = x

44.60 - (96.30 ) = x

-51.70 = x

As we  can see Luisa withdrew more money than what she actually deposited which means that her account balance on Tuesday Night is less than what it was on Monday night before the initial deposit.

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Answer:

Mark 3 and subtract 1 from each division

Step-by-step explanation:

Tara will mark the number line at point 3.

Then she will subtract 1 from 3 and mark at point 2.

Again subtracting 1 from 2 the next mark is at 1.

And the last mark is at 0.

The first mark at point 3 shows that the string is 3 feet long.

Now we need 1 foot divisions. So we subtract from 1  division  from point 3  to get 1 foot long string. So we continue to get 3 equal parts each of 1 foot long by dividing the 3 feet long string into 3 equal divisions.

so the first piece is from 0-1 gives 1 foot long string

The 2nd piece is from 1-2 gives 1 foot long string

The 3rd piece is from 2-3 gives 1 foot long string

Answer:

y ⇒⇒⇒ monthly income

x ⇒⇒⇒ number of times app is opened

$20 per month and an additional $0.005 each time the app is opened

∴ y = 0.005 x + 20

The attached figure represents the graph of y

Step-by-step explanation:

Answer:

It is C

Step-by-step explanation:

The equation of the function f(x) is C. f(x) = x⁴ - x² + 3.

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given parent function is,

g(x) = x⁴ - x²

It is given that the function f(x) has the same shape as g(x).

f(x) is vertically translated.

From the graph, the points on f(x) is shifted 3 units to the up.

A function f(x) when undergoes vertical translation becomes f(x) ± k, where k is the units for which the translation occurs.

If the translation is done up to k units, function is f(x) + k.

f(x) = g(x) + 3 = x⁴ - x² + 3

Hence the function is f(x) = x⁴ - x² + 3.

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Answer:

Step-by-step explanation:

The answer is C because if you calculate it then the answer would be 65

Answer:

trhe answer is 11.50 because it's closest to 10

Answer:

17.9%

Step-by-step explanation:

11.50-9.75=1.75

1.75/9.75=0.1794

Answer:

800.000 + 10.000 + 0.000 + 0.400 + 0.030 + 0.005

Answer:

what is the question

Step-by-step explanation:

Answer:

5.5%

Step-by-step explanation:

Given data

Simple interest =  $137.50

Principal= $500

time = 5 years

We want to find the rate  R

Simple interest= PRT/100

137.50 = 500*R*5/100

137.50=2500R/100

cross multiply

137.5*100= 2500R

13750= 2500R

divide both sides by 2500

R= 13750/2500

R=5.5%

Hence the rate is 5.5%