64 college basketball teams are chosen for a national championship tournament. they are divided equally into four regions to begin the tournament: west, south, east, and north. let w be the event that a team is assigned to the west region. identify the numbers of each of the following:
there are_____teams in the sample space. there are_____teams in the event w. p(w) = _____, is the probability that a randomly chosen team is in event W.

The value of x is 120° .

Given,

In triangle HGF,

HF and FG and are equal in length and ∠G is 60° .

Now,

If the sides are equal there angles will be equal.

So,

FG and FH are equal thus angle ∠H will be equal to 60° .

Sum of all the interior angles of triangle is 180° . Thus ∠F will be equal to 60° .

Now,

∠H and x° will form linear pair.

∠H + x°  = 180°

x = 120° .

Hence all the angles of the triangle are obtained.

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Answer: angle 1 and 3 measure 29 degrees.

angle 2 and 4 measure 151 degrees.

Step-by-step explanation:

1. x = $18 represent the price of each t - shirt.

2. Timothy spend a total of $68 at Macy's.

3. The equation that models the problem,

   $32 + 2x = $68

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

Given that;

Timothy spend a total of $68 at Macy's.

His purchases included a pair of jeans at $32 and 2 t-shirts at $x each.

Now,

Total price of t- shirt = $2x

So,  The equation that models the problem is,

$32 + 2x = $68

2x = 68 - 32

2x = 36

x = 18

So, The price of t- shirt = $x = $18

Thus,

1. x = $18 represent the price of each t - shirt.

2. Timothy spend a total of $68 at Macy's.

3. The equation that models the problem,

   $32 + 2x = $68

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The first thing we need to do is collect like terms; move all the terms in p to one side of the equation and move the rest to the other side of the equation;

We'll now divide both sides of the equation by 14, which will give us the below;

Therefore, the correct answer is option G which is -2/7 as seen in our answer.

Answer:

9 times 59 is 531. 531+240= 771 she needs to work 59 hours.

Step-by-step explanation:

Answer:

30 cm²

Step-by-step explanation:

Step 1: Find the value of xy using the formula for area of triangle with 2 sides and an angle between

Area = ½*x*y*sinB

Area of ∆ABC = 30 cm²

sin B = sin 70 = 0.9397

Thus,

30 = ½*x*y*0.9397

30 = (x*y*0.9397)/2

Multiply both sides by 2

60 = xy*0.9397

Divide both sides by 0.9397

60/0.9397 = xy

xy = 63.85

Step 2: calculate the area of ∆PQR with the same formula used in step 1, and also, using the value of the product of x and y gotten in step 1

Area of ∆PQR = ½*x*y*sinQ

x*y = xy = 63.85

sin Q = sin 110 = 0.9397

Area = ½*63.85*0.9397

Area of ∆PQR ≈ 30 cm²

Answer:

(4,-3)

Step-by-step explanation:

\(\tan(0) = -\frac{2}{3}\) and \(\sin(0) > 0\), we can evaluate the other trigonometric functions as follows:\(\sin(0) = 0\),\(\cos(0) = 1\),\(\csc(0) = \infty\),\(\sec(0) = 1\),and \(\cot(0) = -\frac{3}{2}\).

1. Sine (\(\sin\)): Since \(\sin(0) > 0\) and \(\sin(0)\) represents the y-coordinate of the point on the unit circle, we have \(\sin(0) = 0\).

2. Cosine (\(\cos\)): Using the Pythagorean identity \(\sin^2(0) + \cos^2(0) = 1\), we can solve for \(\cos(0)\) by substituting \(\sin(0) = 0\). Thus, \(\cos(0) = \sqrt{1 - \sin^2(0)} = \sqrt{1 - 0} = 1\).

3. Cosecant (\(\csc\)): Since \(\csc(0) = \frac{1}{\sin(0)}\) and \(\sin(0) = 0\), we have \(\csc(0) = \frac{1}{\sin(0)} = \frac{1}{0}\). Since the reciprocal of zero is undefined, we say that \(\csc(0)\) is equal to infinity.

4. Secant (\(\sec\)): Since \(\sec(0) = \frac{1}{\cos(0)}\) and \(\cos(0) = 1\), we have \(\sec(0) = \frac{1}{\cos(0)} = \frac{1}{1} = 1\).

5. Cotangent (\(\cot\)): Using the relationship \(\cot(0) = \frac{1}{\tan(0)}\), we can find \(\cot(0) = \frac{1}{\tan(0)} = \frac{1}{-\frac{2}{3}} = -\frac{3}{2}\).

Therefore, the values of the trigonometric functions for \(\theta = 0\) are:

\(\sin(0) = 0\),

\(\cos(0) = 1\),

\(\csc(0) = \infty\),

\(\sec(0) = 1\),

and \(\cot(0) = -\frac{3}{2}\).

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When the temperature increased by 19.8 degrees fahrenheit , the temperature in degrees Celsius got increased by 11 degree

The equation C that gives the temperature in degree Celsius is

C = \(\frac{5}{9}(x - 32)\)

Where x denotes the degree Fahrenheit

According to the question,

Temperature has increased by 19.8 degree Fahrenheit

So, let the new temperature be " x' "

x' = x + 19.8

Therefore, For calculating temperature in degree Celsius

=> C' = 5/9 (x' - 32)

Substituting the value of x'

=> C' = 5/9 (x + 19.8 - 32)

=> C' = 5/9 ( x - 32) + 5×19.8/9

=> C' = C + 99/9

=> C' = C + 11

Hence , The temperature increased by 11 degree Celsius

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Answer:

Step-by-step explanation:

its a

Answer:

I believe it C

Answer:

the answer is D

Step-by-step explanation:

it goes my quaters

Answer:

a

Step-by-step explanation:

From 0 to 1, there are 4 marks

3/4 = 0.75

0, 0.25, 0.5, 0.75, 1    or    0, 1/4, 2/4, 3/4, 1

Hope this helps!

The amount of simple interest owed for the loan is $30,010.00.

A method for determining the proportion of interest paid on a sum over a predetermined period of time at a predetermined rate is called simple interest. In simple interest, the principal amount remains unchanged. A straightforward and simple method for calculating money interest is simple interest.

To calculate the simple interest, we use the formula:

Simple Interest = P * r * t

where P is the principal amount, r is the interest rate as a decimal, and t is the time period in years.

Substituting the given values, we get:

Simple Interest = $15,400 * 0.15 * 13

= $30,010.00

Therefore, the amount of simple interest owed for the use of the loan is $30,010.00.

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Answer:

(0.5, 8.5)

Step-by-step explanation:

use this formula ((x1+x2/2), (y1+y2/2)) if you use desmos graphing calculator and you type this formula in, all you have to do it put in the correct numbers and you get your midpoint.

Hope this helped :)

The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)

We have given that, the points (−5,13) and (6,4)

We have to determine the midpoints

((x1+x2/2), (y1+y2/2))

x1=-5,x2=6,y1=13 and y2=4

-5+6/2=1/2=0.5

and next is,

13+4/2=17/2=8.5

The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)

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Answer:

7.385 minutes

Step-by-step explanation:

Given that :

Average speed = 65km/hr

The distance covered = 8km

The time taken Given the information above :

Recall:

Speed = distance / time

Time taken = distance / speed

Time taken = 8km / 65km/hr

Time taken = 0.1230769 hr

Time taken = 0.1230769 * 60 = 7.385 minutes

The time taken to cover this distance is 7.3848 minutes

Speed is the change of an object's distance within a specified period of time.

Mathematically, speed can be calculated by using the relation:

From the given information:

From the above formula, we can make the time the subject of the formula:

By cross multiplying

We all know that:

Thus, time(t) = (0.12308 × 60) minutes

Time(t) = 7.3848 minutes

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The probability that at least three students seek assistance in 10 days is approximately 0.117.

We can use the Poisson distribution to model the number of students who seek assistance in 10 days. Let X be the number of students who seek assistance in 10 days.

Then X follows a Poisson distribution with parameter λ=2.4, where λ is the mean number of students who seek assistance per day multiplied by 10 (the number of days).

Using the Poisson probability formula, we can calculate the probability of at least three students seeking assistance:

P(X ≥ 3) = 1 - P(X < 3) = 1 - [P(X=0) + P(X=1) + P(X=2)]

We can find that:

P(X ≥ 3) = 0.117

Therefore, the probability that at least three students seek assistance in 10 days is approximately 0.117.

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Y = 3x + 210

y = 10x

Set the two equations equal to each other:

10x = 3x +210

Subtract 3x from both sides:

7x = 210

Divide both sides by 7:

x = 30

Answer: 30 shirts

Answer:

30 T-shirts

Step-by-step explanation:

Given system of equations:

a) y = 3x + 210

b) y = 10x

1. Substitute the given value of y into y = 3x + 210:

⇒ 10x = 3x + 210

2. Solve for x:

⇒ 10x = 3x + 210 [subtract 3x from both sides]

⇒ 10x - 3x = 3x - 3x + 210

⇒ 7x = 210 [divide both sides by 7]

⇒ 7x ÷ 7 = 210 ÷ 7

⇒ x = 30 (# of T-shirts)

3. Find the value of y by substituting the given value of x into y = 10x:

⇒ y = 10(30) [multiply]

⇒ y = 300 (total cost of the T-shirts)

4. Check your work:

a) y = 3x + 210

⇒ 300 = 3(30) + 210

⇒ 300 = 90 + 210

⇒ 300 = 300 ✔

b) y = 10x

⇒ 300 = 10(30)

⇒ 300 = 300 ✔

∴ Sam needs to sell 30 T-shirts to break even.

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Answer:

20°,40°,75°

Step-by-step explanation:

Subtract the number from 90 and turn the difference to a degree

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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The domain of f is the range of f −1, and the domain of f −1 is the range of f.

The domain of a function f is the set of all possible input values for which the function is defined and produces a unique output. The inverse function of f, denoted by f^(-1), is a function that reverses the input and output of f. That is, if f(x) = y, then f^(-1)(y) = x.

The domain of f^(-1) is the range of f because the output values of f become the input values of f^(-1), and the input values of f become the output values of f^(-1). Therefore, the range of f becomes the set of possible input values for f^(-1), which is the domain of f^(-1). Similarly, the range of f^(-1) is the domain of f because the output values of f^(-1) become the input values of f, and the input values of f^(-1) become the output values of f.

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The area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

The perimeter of a rectangle is P = 2(L + W) where

Given that P = 16 m,

P = 2(L + W)

16 = 2(L + W)

16/2 = L + W

L + W = 8

So, W = 8 - L

The area of the rectangle, A = LW where

Since W = 8 - L, substituting W into the equation for A, we have

A = LW

A = L(8 - L)

A = 8L - L²

So, the area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

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Each monthly payment will be approximately $20.50, which includes the principal amount of $166 and the finance charge of 8.1% simple annual interest.

To find the amount of each monthly payment for the stereo system, we need to take into account the finance charge of 8.1% simple annual interest. Since the payments are made monthly, we need to convert this to a monthly interest rate by dividing by 12, which gives us an interest rate of 0.675% per month (8.1%/12).

The balance of the stereo system after the down payment is $213 - $47 = $166. This is the amount that Anthony will be paying off in 12 equal monthly payments.

To find the amount of each payment, we can use the formula for the present value of an annuity:

PV = P * (1 - (1 + r)⁻ⁿ) / r

where PV is the present value of the annuity (the amount Anthony owes), P is the payment amount, r is the monthly interest rate (0.675%), and n is the number of payments (12).

Substituting the values we have, we get:

166 = P * (1 - (1 + 0.00675)⁻¹²) / 0.00675

Simplifying this equation, we get:

166 = P * 8.0951

Dividing both sides by 8.0951, we get:

P = 166 / 8.0951

P ≈ $20.50

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Roxanne claims that all linear equations represent proportional relationships. So, this statement "Yes, because all linear equations have graphs that are straight lines." makes him correct.

When there is a proportionate relationship between two variables, the other variable changes at a consistent pace regardless of how the first variable changes, grows or shrinks. A constant ratio between the two variables can be thought of as the constant rate.

Equations, graphs, and tables that use proportions can be used to show proportional relationships. A broad structure is followed by the proportional relationship equation, which will be taught in this session. Straight lines are used to illustrate the graphs. The tables are sets of numbers that are always paired in the same ratio.

Hence the correct option is A

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Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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The probability that he would have done at least this well if he had no ESP is approximately 2.4%. This can be calculated by determining the probability of getting 22 or more of 30 coin flips correct by chance, which is 0.024.

The probability of getting 23 or more of 30 coin flips correct by chance is 0.0048. The probability of getting 24 or more of 30 coin flips correct by chance is 0.0008. The probability of getting 25 or more of 30 coin flips correct by chance is 0.00012. The probability of getting 26 or more of 30 coin flips correct by chance is 0.000016. The probability of getting 27 or more of 30 coin flips correct by chance is 0.000002. The probability of getting 28 or more of 30 coin flips correct by chance is 0.00000003. The probability of getting 29 or more of 30 coin flips correct by chance is 0.000000004. The probability of getting 30 of 30 coin flips correct by chance is 0.00000000003.

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Answer:

3cm

Step-by-step explanation:

Perimeter is the boundary or outer line of a shape

Rectangle has 4 sides.

2 sides of top and bottom, being the same size

And 2 sides of left and right sides being the same size.

Perimeter of Rectangle = 9+5+9+5 = 28

Regular Pentagon has 5 equal sides.

So perimeter is: 5+5+5+5+5 = 25

Difference is biggest take away smallest

Therefore 28-25 = 3

Answer = 3cm

Answer:

Step-by-step explanation:

Given

f(x)= x^2-2 and g(x) = 4f (x)-1

g(x) = 4(x^2-2) - 1

g(x) = 4x²-8-1

g(x) = 4x²-9

Get g(-3):

g(-3) = 4(-3)²-9

g(-3 = 4(9) - 9

g(-3) = 36-9

g(-3) = 27

Answer:

AB is 70 degree and the DC is 60 degree

Answer:

4 ( not sure what the units are)

Step-by-step explanation:

Just by looking at the slope you can figure out how much it grows per year.

y = mx + b

m = slope

Not sure what units there are in the question just place it in the end.

Hope this helps :)

Answer: Tree dont grow.....You must water.. The graphing points are (-1,0) (0,5) I think