The graph of a function g is shown below.
Find g (-2)

We want to proof for this case if there is enough evidence to conclude that the New York police are racially biased in terms of force

From the info given is possible to see that the proportion with High level of force used is higher for Black people compared to White people. A difference of 6.3-5.8% = 0.5%.

In the other hand, we can see that for the Hands up force level, there is a significant difference between the two proportions, higher for Black compared to White with a difference of 15.1-9.7%= 5.4%

And finally when we analyze the case for No force used, we can see that there is a higher percentage for White (84.4%) compared to Black (78.7%) with a difference of 5.7%.

Based on this results we can conclude that in general the New York police is partially biased since is possible to see that for any level of force used the records are in favor of the White people.

Consider the phase space that consists of elements of the form (boy, boy, boy, boy), (girl, boy, boy, boy),...,(girl, girl, girl, girl).

There is a total of 2*2*2*2=2^4=16 possible combinations and each of them has the same probability to happen. Only one element is the case we are interested in (girl, girl, girl, girl).

Therefore, the probability of a family having 4 girls is

The answer is false, the probability is 0.0625

1) Let's set the system of linear equations:

x +2y -3z = a

-x -y +z = b

2x +3y -2z =c

2) Since the solution has already been given ( -1,2,-3) all that's left to do, is to plug it into each equation so that we can find a, b and c. Just like this:

x +2y - 3z = a ⇒ (-1) +2(2) -3(-3) = a ∴ a = 4

-x -y +z = b ⇒ -(-1) -(2) +(-3) = b ∴ b = 0

2x +3y -2z =c ⇒ 2(-1) +3(2) -2 (-3)=c ∴ c = -2

3) Hence, a = 4 b = 0 and c = -2

Part a: Kelsey should make 36 pendants

Part b: Kelsey needs to make 26 more pendants

Rent of the booth at the craft fair = $200

The material cost of each pendant = is $7.80

The selling cost of each pendant = is $13.50

Let Kelsey make x number of pendants

Formulating the inequality equation we get:

Selling cost of each pendant*Number of pendants >= Rent of the booth + Material cost of each pendant*Number of pendants

= 13.50x >= 200 + 7.80x

Solving the inequality we get:

13.50x >=200+7.80x

5.70x >= 200

x >= 35.08

So, she should make a total of 36 pendants

Considering that she has already made 10 pendants. She needs 26 more pendants.

Although a part of your question is missing, you might refer to this full question: Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A: Write and solve an inequality to show how many pendants Kelsey should make. Show the steps of your solutions. Part B: Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit?

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For this problem we were given the distance to the moon and the width of a quarter in meters. We need to determine how many quarters we would need to stack in order to reach the moon.

In order to solve this problem, we need to divide the distance from the surface of the Earth to the moon by the width of each quarter. Notice that both numbers are presented in scientific notations, therefore we need to divide the coefficients and subtract the exponents. This is done below:

If Fin's claim were true, he'd need to stack a total of 2.2*10^11 quarters.

we are given the following polynomial:

we are asked to use synthetic division by:

first we need to find the root of "x + 2":

Now we do the synthetic division using the following array:

Now we lower the first coefficient and multiply it by -2 and add that to the second coefficient:

Now we repeat the previous step. We multiply -7 by -2 and add that to the next coefficient:

Now we repeat the previous step. we multiply 12 by -2 and add that to the next coefficient:

The last number we got is the residue of the division, in this case, it is 0. Now we rewrite the polynomial but we subtract 1 to the order of the polynomial:

we have that

Given:

Required:

To find the distance from point B to line AC.

Explanation:

The point B touches the line AC at P.

And it is perpendicular.

The length of BP is 4.3.

Therefore, the distance from point B to line AC is 4.3.

Final Answer:

The distance from point B to line AC is 4.3.

Solution

Complete the vertical algorithm to evaluate the product:

Therefore the product of the expression is

In a line plot the maximum value is the rightmost mark in the line plot; in this case the maximum capacity is 2 1/2. On the other hand the minimum value is the leftmost mark in the line plot, here the minimum is 1 1/2. Let's calculate the difference between them:

Therefore, the difference between the maxiimum and minimum capacity is 1.

Given:

Find-: 12th term of the sequence is

Sol:

Where,

Put the value then:

So 12th term is -63

Answer:

-63

Step-by-step explanation:

We need to find a situation that can be represented by the inequality below:

This means that there must be a variable for which each unit has a value of 1.25. There must be a fixed cost of 6.5, because we are subtracting that value and the end goal must be to have more than 50.

The only option for which this applies is the option D.

Caleb spent a fixed amount of 6.5, he earns 1.25 for each lemonade he sells and he wants to have a profit of more than 50.

Answer:

it's wh question I think

The balance in the account after years of compound interest arrangement can be represented by the equation; Balance = 1,000 (1.03)^n.

It follows from the task content that the equation which represents the balance in the account after years is required to be determined.

It follows that the principal amount is; $1,000 while the interest rate is; 3%.

This indicates that after each year, the new balance is 103% of the preceding balance.

Hence, the exponential equation which correctly represents the balance at any point in time is;

Balance = 1,000 (1.03)^n.

Where n = number of years after.

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We want to find the following probability:

where X is a normal random variable with mean 13.3 and standard deviation 1.1. To find this probability let's normalize the random variable; to do this we use the z-score given by:

Then, in this case, we have:

Using the standard normal table, we have:

Therefore, the probability of purchasing an item with a lifespan greater than 10 years is 0.9987

Answer:

6.75

Step-by-step explanation:

6.75x4 = 27 so if this is what was meant by this then heres your answer

hope this helped

have a good day ^^

Given the following ingredients

Cups of flour = 14 1/8 = 113/8 cups

Cups of sugar = 6 3/8 cups = 51/8 cups

Cups of salts = 3/8 cups

Calculate the total cups of dry ingredients

Find the LCM

Therefore there are 19 15/8 cups of dry ingredients in this recipe

The figure's perimeter and area would be as follows.

Perimeter = 21.19 cm

Area = 25.501 cm²

A Cartesian coordinate system in some kind of a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates, which are the signed distances from two fixed perpendicular lines that are aligned to the point and are both measured in the same length.

point of the coordinates are as follows:

A(2, 1)

B(8, 6).

C(10, 1)

We know that the formula for finding for the distance is:

d=√((x2 – x1)² + (y2 – y1)²).

For Point AB:

X₁ = 2

Y₁ = 1

X₂ = 8

Y₂ = 6

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((8 – 2)² + (6 – 1)²).

d=√((6)² + (5)²).

d=√(36 + 25).

d=√(61).

AB =7.81

For Point BC:

X₁ = 8

Y₁ = 6

X₂ = 10

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((10 – 8)² + (1 – 6)²).

d=√((2)² + (-5)²).

d=√(4 + 25).

d=√(29).

BC = 5.38

For Point CA:

X₁ = 10

Y₁ = 1

X₂ = 2

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((2 – 10)² + (1 – 1)²).

d=√((-8)² + (0)²).

d=√(64 + 0).

CA = 8

The perimeter of the given figure is:

Sum of all the sides.

AB + BC + CA

7.81 + 5.38 + 8

21.19 cm

Now finding the area of the tringle we use Pythagoras formula:

H² = P² + B²

P² = H²  - B²

P² = (7.81)²  - (5.38)²

P = 9.4837

We know that the area of the triangle is: = 1/2(base * Hight).

                                                                    = 1/2(5.38  * 9.48)

                                                                    = 25.501 cm²

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Answer: 3 times more

Step-by-step explanation:

we know that

The reciprocal of a number is: 1 divided by the number

If you multiply a number by the reciprocal, the result is 1

so

we have

5/7

so

the reciprocal is 7/5

Verify

(5/7)(7/5)=1 -----> is ok

In questions 16, 17 and 18 we have a right triangle and in the three cases you know the measues for 2 sides, except for hipotenuse.

We can use the following relation to solve the problem:

16)

17)

18)

8 - 5(3 + 2x)

open the parenthesis

8 - 15 - 10x

-7 -10x

Answer: B.

Step-by-step explanation: A function relates an input to an output.

The relation which is a function is: function 1.

Option A is correct.

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable).

A relation is a function when each input have only one output.

Function 1 have one output to each corresponding output.

Function 2 have two output for input x= 2.

Function 3 have two output for input x= 3.

Function 4 have two output for input x= 1.

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The ratio table can be used to find the amount earned and the number of hours worked based on the ratio of the values as follows;

a. A person that works for 8 hours earns $72

b. A person that earns $270 worked for 30 hours

c. The ratio is 9 : 1

d. The earnings of a person that works for 24 hours is $216

A ratio table is one that shows the constant relationship between the value pairs on the table.

The given ratio table is presented as follows;

Hours Worked; 4, 12, 16, ?

Money Earned; 36, 108, 144,

Required;

a. The amount a person will earn if he or she works for 8 hours

Solution;

Let x represent the hours worked, and let y represent the money earned

y = k•x

Therefore;

k = y/x

From the ratio table, we have;

k = 36/4 = 108/12 = 144/16 = 9

k = 9

y = 9•x

The amount earned, y for working 8 hours, x is therefore;

y = 9 × 8 = 72

The amount earned for working 8 hours is $72

b. The number of hours worked if a person earns $270

If a person earned $270, we have;

270 = 9 × x

x = 270/9 = 30

The number of hours worked if a person earned $270 is 30 hours

c. The ratio associated with the table in the simplest form is 36 : 4 = 9 : 1

d. The amount earned if a person worked 24 hours

Solution;

y = 9•x

Which gives;

y = 9 × 24 = 216

The amount earned if a person worked 24 hours is $216

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Here, we want to get the measure of the angle marked A

We are going to use the sides given

The trigonometric ratio that links the adjacent to the hypotenuse is the cosine

The cosine is the ratio of the adjacent to the hypotenuse

Mathematically;

a)There is 160 grams of copper are in the resulting mixture

b) There is 61.5% percentage of the resulting mixture is copper.

What are mathematics operations?

• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.

• The operation's arity is determined by the number of operands.

• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.

• A zero-arity operation, also known as a nullary operation, is a constant.

• The mixed product is an example of an arity 3 operation, also known as a ternary operation

From the question:

a) Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams

b)  70 grams of an alloy that contains 12% copper = 70 × 12%

= 70 grams × 0.12

= 8.4 grams

The number of grams of copper in the resulting mixture = 160 grams

The percentage of the resulting mixture that is copper is

=( 8.4 grams + 90 grams of pure copper/160) × 100

= 98.4/160 × 100

= 61.5%

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The coordinates of the point P lying between AB is found as (7, -2/5).

For the given question;

The two end coordinates are;

(x₁, y₁) = (8, 0)

(x₂, y₂) = (3, -2)

The ratio of the division is;

AP/PB = 1/4

OR

m:n = 1:4

The Formula for finding the coordinates of P for internally crossing is;

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Put the values;

x = (mx₂ + nx₁)/(m + n)

x = (1×3 + 4×8)/(1 + 4)

x = (3 + 32)/5

x = 7

Now for y coordinates.

y = (my₂ + ny₁)/(m + n)

y = (1×(-2) + 4×0)/(1 + 4)

y = -2/5

Thus, the coordinates of the point P lying between AB is found as (7, -2/5).

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Answer:

Step-by-step explanation:

-2f

The values are -3 and -26

What is Multiplication?

A product is an expression that identifies the object to be multiplied, called the result of a multiplication, or coefficient. For example, 30 is the product of 6 and 5, and x\cdot is the product of x.

We have to find the number which is multiply to give the upper value and sum up to give the bottom value

So, the value of these numbers will be

-3 x -23 = 69

-3 + (-23) = -26

Hence the values are -3 and -23

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