Given the diagram of the right angle below, find the value for x. Enter a number only.

Answer:6-lane, 200-meter rubberized track (8 laps = 1 mile)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A + 1/6 = 1/6

subtract 1/6 from both sides

A = 0

Answer: m∠B=53°

Step-by-step explanation:

A property that is inherent in a trapezoid of any kind: the sum of the angles adjoining a side is equal to 180°

Hence,

(32x-1)+(14x-3)=180

32x-1+14x-3=180

46x-4=180

46x-4+4=180+4

46x=184

Divide both parts of the equation by 46:

x=4

m∠B=14x-3

m∠B=14(4)-3

m∠B=56-3

m∠B=53°

By using permutation, the college can fill the position in 7 ways.

Permutation shows the no. of ways to arrange the objects or elements.

The Formula for the permutation is P(n, r) = [tex]\frac{n!}{(n-r)!}[/tex]

Given data:

The college needs two additional faculty members a chemist and a statistician. There are five applications for the chemistry position and seven applications for the statistics position.

No. of ways the college can fill the position = no. of ways the college can select Statistics + no. of ways the college can select chemist

By using, the permutation method we can find the no. of ways of selection of both chemist and statistician.

No. of ways the college can fill the position =[tex]5p_{1} +7p_{1}[/tex]

= 5 + 7

= 12 ways

The college can fill the position in 12 ways.

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Probability of event E is = a/c

In the given statement is:

If the odds in favor of an event E are a : b,

To find  the probability of event E is

Formula for Probability

The Probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favourable outcomes / total number of outcomes

Now, According to the question:

Here, Number of outcomes in favor of the event = a

Number of outcomes in against the event = b

Total Outcomes => a + b = c

Therefore, Probability of event E is = a/c

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Answer:

Step-by-step explanation:

it means the rate is 8% and the time is 5 years

Answer:

It is 6 since the denominator 3 can be moved to 6 by only multiplying it by 2

The required coordinate of b is given as (6, 7 ).

To find out the coordinate of b  if M is the midpoint of AB. A(1, -4) and M(-3 ,0).

The midpoint is that point the line whose length from both the ends of the line is equal.

Here,

We have coordinates of two points i.e. A(1, -4) and M(-3, 0).

Definition of midpoint says,

x = [x₁ +  x₂] / 2 ; y = [y₁ + y₂] / 2

x₁ = 2, x = 4 , y₁ = -1, y = 4

now,

4 = [2 + x₂] / 2 ; 4 = [1 + y₂] / 2

x₂ = 8 - 2         ; y₂ = 8 - 1

x₂ = 6               : y₂ = 7

Thus, the coordinate of b is given as (8, 7 ).

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Answer:

18

Step-by-step explanation:

f(-2) = 3(4-x)

=3(4+2)

=3*6=

=18

Based on the revenue, total equity, and the ending liabilities, the total assets at the end of the year is $362,000.

First, find the ending equity:

= Opening equity + Revenue - expenses

= 185,000 + 250,000 - 185,000

= $250,000

The total assets by the accounting equation is:

Assets = Liabilities +  Equity

= 112,000 + 250,000

= $362,000

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There are 6,435 different selections of 7 bonsais that William Smith can choose.

If we have a set of N elements, the number of different combinations of K elements (such that K is equal to or smaller than N) of those N elements is given by:

C(N, K) = N!/( (N - K)!*K!)

In this case, we know that she has 15 different variants of bonsai and she wants to use 7, then:

N = 15

K = 7

Replacing these values in the above formula we will get the possible combinations of bonsais.

C(15, 7) = 15!/( (15 - 7)!*7!) = 15!/( 8!*7!) = (15*14*13*12*11*10*9)/(7*6*5*4*3*2*1) =  6,435

There are 6,435 different selections of 7 bonsais.

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When point is rotated 90 degrees counterclockwise about the origin, point (x,y) becomes (-y,x).

We're given

Make the y-coordinate negative:

(4,0)

Switch around the coordinates:

(0,4)

(0,4)

1. Joshua's raise stated as a percentage is 6.1%.

2. When inflation is factored in, Joshua's raise reduces to 3.7%

A percentage is the ratio of a variable when compared to the whole.

Percentages are expressed over 100, like ratios, probabilities, and proportions.

Initial salary on the job = $42,800

New salary after the raise = $45,400

The salary increase in dollars = $2,600 ($45,400 - $42,800)

The salary increase in percentage = 6.1% ($2,600/$42,800 x 100)

Inflation rate = 2.4%

The real increase in salary = 3.7% (6.1 - 2.4%).

Thus, Joshua’s raise stated as a percentage is 6.1%.

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Answer:

Step-by-step explanation:

substitute the value for x and y

-6 + 6(-4)

= -6 -24

= -30

Answer:

-30

Step-by-step explanation:

plug in variables

-6 + 6(-4)

-6+ -24

= -30

The required measures of the corresponding parts in the reflection of figure a = 3.2 and b = 46 degrees. Option C is correct.

As given in the question, the figure on the left is reflected using a line to form the image on the right.

Here,
Since the reflection of a figure never changes its dimension so,
in the figure,
b + 143 + 108 + 63 = 360
b = 46
And also in reflection, the measure of the site will not change so the measure of a = 3.2

Thus,  the required measures of the corresponding parts in the reflection of figure a = 3.2 and b = 46 degrees. Option C is correct.

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Answer:

-$90 + $130= $40

Step-by-step explanation:

Im not sure if this is what you were looking for

I think the answer is B, the one with a complete line and shaded to the bottom

Answer:

1029

Step-by-step explanation:

d=s*t

s=343m/s

t=3s

=343m/s*3s

= 1029

Find the value of k the diagram is not to scale

○ 80

○ 36

○ 100

○112

100 is your answer

The required solution of the given equation is 5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The given equation is

2x + = x + 5

According to given question we have

Mental Math is an exercise where we solve mathematical equations mentally without the help of a calculator.

To do the bigger or important quantities first. This gives an estimate of the value expected. Such an approach is front end or left to right multiplication.

2x = x + 5

Substract x from both sides we get,

x=5

Therefore, the required solution of the given equation is 5.

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The total cash due at signing if the dealership requires down payment, security deposit, first month's payment and the acquisition fee at signing  is 2400 + 375 + 500 = 3275

When you buy a car, you don't make monthly payments at the beginning. Plus, you don't care how much the buyout costs when you close the lease, that's after you've had it for two years.

You must take care of the deposit, this is your good faith commitment to the rental car. In addition, you may have to pay a deposit based on your credit, and the acquisition fee is what you would pay a broker or dealer to get the car to you if you wanted it from somewhere else.

Therefore,

2400 + 375 + 500 = 3275

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Answer:

n=8/3

Step-by-step explanation:

3n-5=13

3n=8

n=8/3

Step-by-step explanation:

In maths, Conjugates are defined as a pair of binomials with identical terms but parting opposite arithmetic operators in the middle of these similar terms. For example, p – q is the conjugate of p + q.

complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. That is, the complex conjugate of {\displaystyle a+bi} is equal to {\displaystyle a-bi.}

The math conjugate of a number is a number that when multiplied or added to the given number results in a rational number. For example,

The conjugate of a surd 6 + √2 is 6 - √2.

The conjugate of a complex number 5 - 3i is 5 + 3i.

Answer:

$1,945.91

Step-by-step explanation:

To find the amount a family would have spent to be at the 80th percentile, we can use the normal distribution.

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

[tex]\boxed{X \sim\text{N}(\mu,\sigma^2)}[/tex]

Given that the average spending on a summer vacation is $1,600 and the standard deviation is $411:

We need to convert the problem to the standard normal distribution by calculating the z-score.

The z-score represents the number of standard deviations a data point is away from the mean. To find the z-score corresponding to the 80th percentile, we need to find the critical value or z-score that corresponds to an area of 0.80 under the standard normal curve.

Using a standard normal distribution table or a calculator, the z-score corresponding to an area of 0.80 is 0.84162084...

Next, we use the formula for the z-score:

[tex]\boxed{z = \dfrac{x - \mu}{\sigma}}[/tex]

where z is the z-score, x is the data point, μ is the mean, and σ is the standard deviation.

Substitute z = 0.84162084..., μ = 1600, σ = 411 into the z-score formula:

[tex]0.84162084... = \dfrac{x - 1600}{411}[/tex]

Solving for x:

[tex]x=1945.90616...[/tex]

Therefore, a family would have spent approximately $1,945.91 to be at the 80th percentile of spending on a summer vacation.

Answer:

$1,945.03

Step-by-step explanation:

To find the amount a family would have spent to be at the 80th percentile, we need to find the z-score that corresponds to the 80th percentile and then use that z-score to calculate the corresponding amount.

First, we find the z-score using the standard normal distribution table or a calculator:

z = InvNorm(0.8) ≈ 0.8416

Next, we use the formula for transforming a z-score to a raw score:

z = (x - μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values and solving for x, we get:

0.8416 = (x - 1600) / 411

x - 1600 = 0.8416 * 411

x - 1600 = 345.0256

x = 1945.0256

Therefore, a family would have spent about $1,945.03 to be at the 80th percentile.

Answer:

i could only work out (A)

Step-by-step explanation:

Given: P(MOTHER) = 0.10 P(FATHER) = 0.10 P(MOTHER AND FATHER)= 0.02 P(FIRST CHILD) = 0.20 P(SECOND CHILD) = 0.20 P(FIRST CHILD AND SECOND CHILD) = 0.10 So, we get: P(MOTHER) X P(FATHER) = 0.10X 0.10 = 0.01 Since P(MOTHER) X P(FATHER) = 0.01 P(MO

Step-by-step explanation:

d = number of Delta cars

b = number of Beta cars

s = number of Sigma cars

253 = 11d + 17b + 4s

149 = 5d + 8b + 5s

63 = 3d + 4b + 1s

s = 63 - 3d - 4b

149 = 5d + 8b + 5(63 - 3d - 4b) =

= 5d + 8b + 315 - 15d - 20b = -10d - 12b + 315

-166 = -10d - 12b

-83 = -5d - 6b

83 = 5d + 6b

5d = 83 - 6b

d = (83 - 6b)/5

with these 2 "identities" we are going into the 3rd equation and solve for the third variable (b), followed by solving the first 2 identities :

253 = 11((83 - 6b)/5) + 17b + 4(63 - 3((83 - 6b)/5) - 4b)

1265 = 11(83 - 6b) + 85b + 20×63 - 12(83 - 6b) - 80b

1265 = -(83 - 6b) + 5b + 1260

5 = -83 + 6b + 5b

88 = 11b

b = 8

d = (83 - 6b)/5 = (83 - 48)/5 = 35/5 = 7

s = 63 - 3d - 4b = 63 - 3×7 - 4×8 = 63 - 21 - 32 = 10

7 Delta cars

8 Beta cars

10 Sigma cars

were produced.

Answer:

1/13

Step-by-step explanation:

[tex]f(x_1)=4 \\ \\ f(x_2)=9 \\ \\ \frac{f(x_2)-f(x_1)}{x_2 - x_1}=\frac{1}{13}[/tex]

Answer:

Just multiply 6x8x5

Step-by-step explanation:

Answer:

bases....................

Answer:  A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = –3x – 5

The value of the function at x = –5, 0, 2 will be

f(–5) = –3(–5) – 5

f(–5) = 15 – 5

f(–5) = 10

f(0) = –3(0) – 5

f(0) = 0 – 5

f(0) = –5

f(2) = –3(2) – 5

f(2) = –6 – 5

f(2) = –11