28.- Resuelve la jerarquía de operación (10-2) + (2x3) + (8+6) (7-2)-(12x2+8)=
A) 84.33
B) -84.33
C) 68.33
D) -68.33

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The statement "The empirical rule assumes that the distribution of data follows a normal curve." is True.

The empirical rule, also known as the 68-95-99.7 rule, is a statistical rule that states that for a normal distribution, approximately 68% of the data will fall within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. This implies that the distribution of data follows a normal curve.

A normal distribution is a type of probability distribution that follows a symmetrical bell-shaped curve. It is also known as the Gaussian distribution and is a continuous probability distribution. The normal distribution is defined by its mean, which is the average of the values, and its standard deviation, which is a measure of the spread of the values from the mean.

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Answer:

Answer: a rollerist

Step-by-step explanation: hope it helps

Answer

Step-by-step explanation:

RCXD i dont get it

The finance charge is $285

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

Given;

An installment loan that has an APR of 16 percent

The motor scooter sells for $1,687

The store financing requires a 20 percent down payment

Monthly payments are for 30months

Now,

Downpayment= cost of scooter*20%

=1687*20%

=$337.4

Amount of finance = Cost of scooter - Down payment

=1687-337.4=1349.6

Interest rate=16%*1/12=1.3% per month

Monthly payment = Amount of finance*I/[1-(1+I)^-n]

=1349.6*1.3%/[1-(1+1.3%)^-30]

=1349.6*0.013(1-0.6780)

=17.5448/0.322

=54.486

Total amount paying for loan over a period = Monthly payment * Term

=54.486*30=1634.6

Amount of finance charge = Total amount paying for loan - Amount of loan

Amount of finance charge =1634.6-1349.6

=285

Therefore, the finance charge by given percent will be $285

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For this case we know that the real pyramid is 24 ft of tall

And we also know that we have a scaled model with a height of 2ft and a wide of 1ft in the base

Since the scale model preserve the factors between all the dimensions (that means if we compress by a factor of 1/2 all the dimensions would be compressed 1/2), we can do the following taking in count just the heights given:

So then the answer for this case would be 1/12 or 1:12 for the scale figure

Answer:

3000

Step-by-step explanation:

Answer:

2.3 equals 230%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 2.3 × 100 = 230% (answer).

➥ The ease way:

1) Move the decimal point two places to the right: 2.3 → 23 → 230.

2) Add a % sign: 230%

Answer: 230%

To divide the pizzas equally among 9 people, each person will get 3 slices of pizza, and there will be 3 leftover slices. This should be enough pizza to satisfy everyone at the teacher's pizza party!

To solve this problem, we need to first find out how many total slices of pizza we have. Since we have 3 pizzas and each pizza has 8 slices, we have a total of 24 slices of pizza.
Next, we need to figure out how many people will be sharing the pizzas. The teacher has 8 friends over, so there will be a total of 9 people (including the teacher) sharing the pizzas.
To divide the pizzas equally among the 9 people, we need to divide the total number of slices (24) by the number of people (9). Using division, we can see that each person will get about 2.67 slices of pizza.
However, since we cannot cut a pizza into thirds, we need to round this number to the nearest whole or half slice. In this case, we can round up to 3 slices of pizza per person. This means that each person will get 3 slices of pizza, and there will be 3 leftover slices.

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Answer:

Simplifying

4y + 3 = 5x + -7 + 3x + 17

Reorder the terms:

3 + 4y = 5x + -7 + 3x + 17

Reorder the terms:

3 + 4y = -7 + 17 + 5x + 3x

Combine like terms: -7 + 17 = 10

3 + 4y = 10 + 5x + 3x

Combine like terms: 5x + 3x = 8x

3 + 4y = 10 + 8x

Solving

3 + 4y = 10 + 8x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 4y = 10 + -3 + 8x

Combine like terms: 3 + -3 = 0

0 + 4y = 10 + -3 + 8x

4y = 10 + -3 + 8x

Combine like terms: 10 + -3 = 7

4y = 7 + 8x

Divide each side by '4'.

y = 1.75 + 2x

Simplifying

y = 1.75 + 2x

Answer:

V = 8/125 cubic units

Step-by-step explanation:

This prism is actually a cube of side length 2/5.

The volume of a cube of side length s is V = s^3.

Here, the volume of the cube (rectangular prism) is V = (2/5)^3, or

V = 8/125 cubic units

Answer:

30

Step-by-step explanation:

The sum of the angles in a triangle is always 180

n + 80 + 70 = 180

n + 150 = 180

n = 30º

The steps below must be performed in order to reverse the x and y values and plot the graph with the x values on the horizontal axis and the y values on the vertical axis.

An illustration of a set of facts or the mathematical relationship between two variables is a graph.

Graphs are used to show patterns, trends, and correlations in data or functions, making the information easier to understand and convey.

Instead of using the format (x, y), record the coordinates of the given points as (y, x).

(0, 30), (1, 60), (2, 100), (3, 130), (4, 160), (5, 190)

On a piece of graph paper, draw the horizontal x-axis and vertical y-axis. Give the axes the respective names "x-axis" and "y-axis".

Plot the following points on the graph paper: (0, 30), (1, 60), (2, 100), (3, 130), (4, 160), and (5, 190).

Locate the x-coordinate on the x-axis and the y-coordinate on the y-axis, then highlight the intersection point to plot each point.

The graph is finished by adding a smooth curve to join the points together.

The x-values will be on the horizontal axis and the y-values will be on the vertical axis of the final graph.

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Answer:

You should use a calculator my friend.

Answer:

x = -3; y = -3

Step-by-step explanation:

x = 2y + 3

y = 2x + 3

x = 2(2x + 3) + 3

x = 4x + 6 + 3

-3x = 9

x = -3

y = 2x + 3

y = 2(-3) + 3

y = -3

Answer: x = -3; y = -3

The mean of the observed outcome X is 1/3.The variance of the observed outcome X is 1/9.

In order to obtain the mean of the observed outcome X, the formula for calculating the mean of the continuous distribution function is used as shown below:\($$\mu = \int_{-\infty }^{\infty }xf(x)dx$$\)

\($$\mu = \int_{0}^{1}x[2(1-x)]dx$$\)

Expanding the integral,\($$\mu = 2\int_{0}^{1}x(1-x)dx$$$$\\)

\(mu = 2\int_{0}^{1}x-x^2dx$$\)

Solving the integral above, \($$\mu = 2[\frac{1}{2}x^2 - \frac{1}{3}x^3]_{0}^{1}$$$$\\)

\(mu = \frac{1}{3}$$\)

The formula for calculating the variance of the continuous distribution function is used as shown below:\($$\sigma ^2 = \int_{-\infty }^{\infty }(x - \mu)^2f(x)dx$$\)

\($$\sigma ^2 = \int_{0}^{1}(x - \frac{1}{3})^2[2(1-x)]dx$$\)

Expanding the integral,\($$\sigma ^2 = 2\int_{0}^{1}(x - \frac{1}{3})^2(1-x)dx$$\)

Multiplying out the square term,\($$\sigma ^2 = 2\int_{0}^{1}(x^3 - \frac{2}{3}x^2 + \frac{1}{9}x)dx$$\)

the integral above, \($$\sigma ^2 = 2[\frac{1}{4}x^4 - \frac{2}{9}x^3 + \frac{1}{18}x^2]_{0}^{1}$$$$\

sigma ^2 = 2[\frac{1}{4} - \frac{2}{9} + \frac{1}{18}]$$$$\

sigma ^2 = \frac{1}{9}$$\)

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Answer:

i have made it in pic above

The probability that a randomly selected Manhattan resident spends New Year's Eve at Times Square, given that the resident is out of town on New Year's Eve, is 0.

If the resident is out of town on New Year's Eve, it implies that they are not present in Manhattan during that time. Therefore, it is not possible for them to spend New Year's Eve at Times Square if they are not in town.

Since the resident is out of town, the probability of them being at Times Square on New Year's Eve is zero. Probability is a measure of the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain). In this case, the event of a resident being at Times Square on New Year's Eve is impossible because they are out of town.

Hence, the probability of a randomly selected Manhattan resident spending New Year's Eve at Times Square, given that they are out of town on New Year's Eve, is 0.

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Answer:

Step-by-step explanation:

Number of leashes Bob can make in 2 hours = 7

Number of leashes Bob can make in 1 hour = 7÷2 = 3.5

Let, Bob takes total x hours.

Number of leashes Nina can make in 1 hour = 4

Let, Nina takes total x hours.

∴  The equation that can be used to find the number of hours it takes bob and Nina to make 60 leashes is given by-

3.5x+4x = 60.

7.5x = 60

This equation can be used to find the number of hours taken by Bob and Nina by putting different values of x and y which satisfies above equation.

The exact value of sin(0) for the given terminal side of angle 0 at standard position, which intersects the unit circle at point (-sqrt(2)/2,(-sqrt(2)/2)), is -sqrt(2)/2.

To find the value of sin(0), we need to determine the y-coordinate of the point where the terminal side of angle 0 intersects the unit circle. Since the point is (-sqrt(2)/2,(-sqrt(2)/2)), the y-coordinate is -sqrt(2)/2. Since sin(0) is defined as the y-coordinate of the point where the terminal side of angle 0 intersects the unit circle, the exact value of sin(0) for the given point is -sqrt(2)/2.

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Answer:

To fine the surface area is to add all the area of the faces

The required observations are:

Least Value = 8; Q1 = 10; Q2 = 12; Q3 = 15; Greatest Value = 19.

Given the observations are: 15, 19, 8, 12, 11, 19, 10, 13, 8, 12.

Arranging the values in ascending order we get:

8, 8, 10, 11, 12, 12, 13, 15, 19, 19

So the least value is = 8

Greatest value is = 19

Number of observations = 10

Median is,

Q2 = Average of (10/2)th and (10/2 + 1)th observations

Q2 = Average of 5th and 6th observations

Q2 = (12 + 12)/2

Q2 = 12

Now first half of the observations:

8, 8, 10, 11, 12

Number of observations in first half = 5

First Quartile is,  

Q1 = The ((5 + 1)/2) th observation = 3rd observation = 10

Now second half of the observations:

12, 13, 15, 19, 19

Number of observations in second half = 5

Third Quartile is,

Q3 = The ((5 + 1)/2) th observation = 3rd observation = 15

Hence, Least Value = 8; Q1 = 10; Q2 = 12; Q3 = 15; Greatest Value = 19.

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Absolute represented by |x| where x is a number means making the numer positive irrespective of its formal state

1) |-2|<|1|

2< 1

The above statement is false

2) |1|<|0|

1<0

The above statement is also false

3) |-1|<|-2|

1<2

The above statement is true

4) |1| > |-2|

1 > 2

The above statement is false too

Answer:

A. 6 inches = 105 miles

B. 3.5 inches = 61.25 miles

C. 8 inches = 140 miles

D. 5 inches = 87.5 miles

E. 10 inches = 175 miles

F. 12 inches = 210 miles

G. 14 inches = 245 miles

Step-by-step explanation:

The scale we are given can also be seen as a ratio.

⭐What is a ratio?

But, what if you wanted to find out how many inches 40 miles in real life is? Or how many miles 10 inches on a map is? To find out, you'd need to make a proportion.

⭐What is a proportion?

Thus, for each problem, we have to make a proportion.

The proportion will be different for each problem.

However, one ratio will be the same: 2 inches/35 miles, because it is the scale.

A.

First, we need to create 2 ratios to set equal to each other. We already know one ratio: 2 inches/35 miles.

We want to know how many miles 6 inches is on the map.

Therefore, our second ratio will be 6 inches/x miles.

Next, set these two ratios equal to each other. Make sure you keep the same units as the numerators and denominators.

\(\frac{2 inches}{35 miles} = \frac{6 inches}{x miles}\)

Finally, solve for x.

To do so, cross multiply (multiply the opposite terms together).

\(2x = 6(35)\)

\(2x = 210\) . . . .  divide both sides by 2

∴ x = 105

For all of the other problems, just repeat the same thing but replace the "6 inches" with the inches you are given in the problem.

I will do another example.

B. First, we need to create 2 ratios to set equal to each other. We already know one ratio: 2 inches/35 miles.

We want to know how many miles 3.5 inches is on the map.

Therefore, our second ratio will be 3.5 inches/x miles.

Next, set these two ratios equal to each other. Make sure you keep the same units as the numerators and denominators.

\(\frac{2 inches}{35 miles} = \frac{3.5 inches}{x miles}\)

Finally, solve for x.

To do so, cross multiply (multiply the opposite terms together).

\(2x = 3.5(35)\)

\(2x = 122.5\) . . . .  divide both sides by 2

∴ x = 61.25 miles

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Answer:

y=1/2x+4

Step-by-step explanation:

Answer:

y=2x+4

Step-by-step explanation:

Answer:

( -1/2) ^5

Step-by-step explanation:

We know that a^b* a^c = a^(b+c)

( -1/2) ^ 3 * ( -1/2) ^2

( -1/2) ^ (3+2)

( -1/2) ^5

Answer:

\({\huge{\pink{\underline{\underline{Solution:}}}}}\)

\( {( \frac{ - 1}{2}) }^{3} × {( \frac{ - 1}{2}) }^{2} \\

=>{( \frac{ - 1}{2}) }^{(3+2)}\\

=>{( \frac{ - 1}{2}) }^{5}\\

=> \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \\

=> \frac{ - 1}{32} \)

\({\huge{\pink{\underline{\underline{Formula\ used:}}}}}\)

The possible values for x, y, and z that cause the expression xy' to evaluate to 1 are (1,0,0), (1,0,1), (1,1,0), and (1,1,1).

In Boolean algebra, literals refer to the basic elements or variables that are used to represent binary values, i.e., 0 or 1.

The expression xy' evaluates to 1 if x = 1 and y = 0. To see why, we can substitute these values into the expression: xy' = 10' = 11 = 1.

Therefore, the possible values for x, y, and z that cause the expression xy' to evaluate to 1 are (1,0,0), (1,0,1), (1,1,0), and (1,1,1).

However, xy' is not a minterm for a function with input variables x, y, and z, because there is more than one setting of the input variables that causes the expression xy' to evaluate to 1.

Specifically, both (1,0,0) and (1,1,0) cause xy' to evaluate to 1.

A minterm, as defined, must have exactly one setting of the input variables that causes the minterm to evaluate to 1.

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The total relative frequency, calculated by summing up the individual relative frequencies, is 0.87. This indicates that the sales made by the given salespeople represent 87% of the total sales in the contest.

The relative frequency measures the proportion of a particular salesperson's sales out of the total sales. In this case, the data provided includes sales figures for four salespeople: Frances Clonts, Sarah Leigh, Devon Pride, and John Townes. The relative frequencies for each salesperson are given as 0.05, 0.62, 0.00 (not provided), and 0.20, respectively.

To calculate the total relative frequency, we sum up all the individual relative frequencies. By adding 0.05 (Frances Clonts) + 0.62 (Sarah Leigh) + 0.20 (John Townes), we get a total relative frequency of 0.87. This means that the combined sales of Frances Clonts, Sarah Leigh, and John Townes account for 87% of the total sales made in the contest.

It's important to note that the relative frequency of Devon Pride is not provided, so we cannot include it in the calculation. Without the information on Devon Pride's sales, we cannot determine their contribution to the total sales or the overall percentage they represent.

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Answer:

x^2 is x2 \x^2 is x 4 - is x^2 easy