students were asked to choose their favorite sport.of 2/7 of the students chose soccer and 4/7 chose basketball what fraction chose either soccer or basketball

Answer:

The answer should be 17.15!

Hope this helps(:

Step-by-step explanation:

Answer:

17.15$ I just need to get those 20 letters

a.) From the table, it is clear that Account B's balance rises by 0.15 thousand dollars annually whereas Account A's balance rises by 0.1 thousand dollars. This suggests that each account will change at the same rate over time.

b.) Assume that A(t) and B(t) represents the balances in Accounts A and B at time t years after the year 2000, respectively. We may define these functions using the information in the table as follows:

B(t) = 10 + 0.15t where A(t) = 5 + 0.1t

An account balance refers to the total amount of money, including both deposits and withdrawals, in a bank account, credit card account, or any other financial account at any given time.

The balance can be, indicating that there is money in the account, or negative, indicating that the account holder owes money. A positive account balance means that there are more deposits than withdrawals, while a negative balance means that the opposite is true.

Account balances are used to track and manage personal finances, pay bills, and make purchases. They can also be used to monitor and reconcile bank statements, ensure that account transactions are accurate, and that the account holder is aware of any fees or charges that may have been incurred.

a. Looking at the table, we can see that the balance for Account A increases by 0.1 thousand dollars each year, while the balance for Account B increases by 0.15 thousand dollars each year. This indicates a constant rate of change for each account over time.

b. Let A(t) and B(t) be the balance in Account A and Account B, respectively, at time t years since 2000. Using the data from the table, we can define these functions:

A(t) = 5 + 0.1t

B(t) = 10 + 0.15t

c. Yes, Account A will have the same balance as Account B at some point in time. We can find this point by setting A(t) equal to B(t) and solving for t:

5 + 0.1t = 10 + 0.15t

0.05t = 5

t = 100

So, Account A and Account B will have the same balance after 100 years since 2000, i.e., in the year 2100. We know this because the two accounts are increasing at a constant rate, and the difference between their balances is also increasing at a constant rate. Therefore, the difference between their balances will eventually become less than or equal to zero, meaning they will have the same balance at that point in time.

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The determinant of the linear transformation t(f)=2f 3f' from p2 to p2 is 36.

To find the determinant of the linear transformation t(f)=2f 3f' from p2 to p2, we first need to represent the transformation as a matrix.

Let's start by choosing a basis for p2, say {1,x,x²}. Then, the linear transformation t can be represented by the matrix

[2 0 0]
[0 3 0]
[0 0 6]

To find the determinant of this matrix (and hence the determinant of the linear transformation), we can use the formula for the determinant of a 3x3 matrix:

det(A) = a11(a22a33 - a23a32) - a12(a21a33 - a23a31) + a13(a21a32 - a22a31)

Plugging in the entries of our matrix, we get:

det(t) = 2(3×6 - 0×0) - 0(2×6 - 0×0) + 0(2×0 - 3×0)
      = 36

Therefore, the determinant of the linear transformation t(f)=2f 3f' from p2 to p2 is 36.

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Answer:

B. y= (1/4)x-3/4

The equation of a straight line it is found by using

Y= mx + c

Where m is the gradient

and c is the y intercept

Answer:

C. y= (1)/(4)x + (3)/(4)

Step-by-step explanation:

Equation of a line is y=mx+b  

where m is the slope and b is the y-intercept.

y= (1)x + (4)

so

the equation of this line would be,

y = x + 4

y=x+4

Answer:

3628800 batting orders

Step-by-step explanation:

Since a batting order is an order arrangement, then we have a permutation of 9 out of 10

10!/(10 - 9)! = 10!/1! = 10! = 3628800 batting orders

We know that Sarah will use (C) 3/8 cups of grape juice in each cup of water using simple mathematical operations.

A mathematical action is called an operation.

Mathematical operations include addition, subtraction, multiplication, division, and finding the root.

Most people agree that addition, subtraction, multiplication, and division are the four fundamental mathematical operations.

So, we know that:

Sarah uses 1/4 cup of grape juice for every 2/3 cup of water.

Sarah uses a certain amount of grape juice for every cup of water:

1/4 ÷ 2/3

1/4 * 3/2

3/8

Therefore, we know that Sarah will use (C) 3/8 cups of grape juice in each cup of water using simple mathematical operations.

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Correct question:
Sarah dilutes grape juice for her two-year-old sister. She uses 1/4 cup of grape juice for every 2/3 cup of water.

How much grape juice does Sarah use for each cup of water?

a. 1/6 cup

b. 3/4 cup

c. 3/8 cup

d. 1 1/2 cup

Answer:

Ok, the rules of the exponent come from a logic construction.

If we have x^n

this means that n is multiplied by itself n times.

If we decompose n into a + b, we have:

x by itself a times, and then x by itself b times, and for how the product works, this is equivalent:

if n = 5, a= 2 and b = 3

x^5 = (x*x*x*x*x)   5 times-

x^5 = x^(2 + 3) = (x^2)*(x^3) = (x*x*)*(x*x*x) = x*x*x*x*x = x^5

And the same for the other rules:

(x^n)^b = x^n*b and such.

Obviusly, this only works when we have a common base.

So the correct answer is that we constructed the exponential rules in a way that only can be used when we have a common base, and this happens because to construct them, we started with common bases.

The value of g(-6) is -2 when the function g(x) = x + 4, indicating that when x equals -6, the value of g(x) is -2.

To find g(-6), we substitute -6 into the function g(x) = x + 4:

g(-6) = -6 + 4

Simplifying the expression:

g(-6) = -2

Therefore, g(-6) = -2.

By evaluating g(-6), we are finding the value of the function g(x) when x is -6. In this case, when x is -6, the value of g(x) is -2.

It's important to note that g(x) = x + 4 is a linear function, where the input value x is added to 4 to produce the output value g(x). When x is -6, adding 4 gives us -2 as the result.

This means that if we graph the function g(x) = x + 4 on a coordinate plane, the point (-6, -2) will lie on the graph. The x-coordinate represents the input value, and the y-coordinate represents the output value of the function.

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Answer:

the area for the entire scale is 8 inches

the area for one of the triangles is 6.2 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of the triangle is:

A = 1/2 * (Base * Height)

A = 1/2 * (b * h)

A = 1/2 * (8 * 6.2)

A = 1/2 * 49.6

A = 24.8

Area of the square is:

A = Base * Height

A = b * h

A = 8 * 6.2

A = 49.6

Answer:

Step-by-step explanation:

2x - 7 + 2x - 5 + 2x - 3 + 2x - 1 + 2x + 3 + 2x + 5 + 2x + 7   Combine like terms

16x / 8  = 48

2x = 48

x = 24

The range is defined as the largest number - the smallest number

The range is between 2x - 7 and 2x + 7

x = 24

The smallest number is 48 - 7 = 41

The largest number is 48 + 7 = 55

The range = 55 - 41 = 14

Why was the 2 in front of the x needed? It was to make sure that I could create an odd number.

Why did I subtract an odd number? That was to make sure that I could create odd numbers.

Why did I start with 2x - 7 and end up 8 terms later at 2x + 7?

So the numbers would cancel and I'd only be left with x's.

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Usando una ecuación lineal, se encuentra que:

a) La ecuación es y = -20x + 840.

b) El valor del videojuego cuando era nuevo era de $840.

Una función lineal es modelada por:

y = mx + b

En el cual:

En este problema, el valor depreció $120 en 6 meses, por lo tanto la pendiente es dada por:

m = -120/6 = -20.

O sea:

y = -20x + b

Al longo de 12 meses, el valor deprecio 12 x 20 = $240. Por lo tanto, el valor inicial es dado por:

b = 600 + 240 = $840.

Y la ecuación es dada por:

y = -20x + 840.

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Answer:

                                                                  n      

Step-by-step explanation:

Answer:

16:5

Step-by-step explanation:

No , as we fail to reject the null hypothesis Mr. Goodman claim that his evaluations are significantly different than the history department's.

What is null hypothesis?

Test statistic  X2 =1.9196

p value =0.5893

No , as we fail to reject the null hypothesis Mr.Goodman claim that his evaluations are significantly different than the history department.

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Hi there,

So,

Simplify and solve for x.

In the context of this problem, the equation x=14 means that the first number is 14. The next three even numbers are 16, 18, and 20.

Checking we see that 14+16+18+20=68.

Answer:

You need 8 picnic tables.

Step-by-step explanation:

You need 8 picnic tables because there are 30 friends and 4 sits at each table, and 4 x 8 is 32. There is 2 more extra seats. But it does fit all 30 friends.

Answer:

seven times the difference of a number b, and two

Step-by-step explanation:

hope this helps

The price per can has been lowered by R2, making the standard can cost R7.

A mathematical assertion that establishes the equivalence of two expressions is known as an equation. It is made up of two sides, a left and a right side, separated by the equal sign (=). The equation, which is typically used to determine an unknown variable's value, requires that the values on both sides be equal. Exponents, logarithms, multiplication, division, addition, subtraction, and other mathematical operations can all be used in equations.

given

Let's say that the standard price per can is "x" Rand.

The revised price is (x-2) Rands if the price is decreased by R2.

The issue is that 14 cans are being offered for the customary price of 10 cans. Thus, we can construct the equation:

10x = 14(x-2) (x-2)

After finding x, we obtain:

10x = 14x - 28

-4x = -28

x = 7

The price per can has been lowered by R2, making the standard can cost R7.

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If a function is continuous at a point, the statements that must be true are: 1) the limit from the left and the limit from the right both exist, 2) the limits from the left and the right are equal, and 3) the limit from the left and the limit from the right are equal to the value of the function at that point.

In order for a function to be continuous at a particular point, several conditions must be satisfied. First, the limit from the left and the limit from the right must both exist. This means that as the input approaches the given point from the left and from the right, the function's output has a well-defined limit.

Second, the limits from the left and the right must be equal. This means that the function approaches the same value from both sides of the point. If the limits differ, there is a discontinuity at that point.

Lastly, the limit from the left and the limit from the right must be equal to the value of the function at that point. This ensures that the function is connected at the specific point, without any abrupt jumps or breaks.

Therefore, for a function to be continuous at a point, all three conditions mentioned above must be satisfied: the limit from the left and the limit from the right both exist, they are equal to each other, and they are equal to the value of the function at that point.

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There is sufficient evidence to conclude that the average number of hours women work each week is more than 80 hours

The hypothesIs are

Ha : μ>80

Given the sample size n=68 and sample mean X 83 , sample standard deviation s=10

The test statistic is

t = x~ - 80/s/√n

t= 83-80/10/√68

t- 2.4738634

The P-value of the test is

P-value P(T> 2.4738634)

P-value 0.0080

When  α=0.05,

Reject the null hypothesis since P-value 0.0080 a 0.05

i) The -a) 10090 two-sided confidence interval for mean based on the sample data is

{x}\pm t_{1-\α /2,n-1}\frac{s}/{√n}

Here the 95% confidence interval is

= 83 ± t1-0.05/2,67 10/V68

= (80.58,85.42)

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Simple probability is the calculation of an outcome or the chance of an event ever happening.

18.65% probability that the person is from Washington

Two events, A and B.

\(P(B/A)=\frac{P(B)*P(A/B)}{P(A)}\)

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Arrived by train.

Event B: From Washington.

15% are from Washington

This means that \(P(B)=0.15\)

12% of the attendees from Washington came to the conference by train.

This means that \(P(A/B)=0.12\)

Probability of arriving by train:

6% of 60%(from California), 17% of 25%(from Oregon) or 12% of 15%(from Washington). So

\(P(A)=0.06*0.6+0.17*0.25+0.12*0.15=0.0965\)

If an attendee is selected at random and found to have arrived by train,

\(P(B/A)=\frac{0.15+0.12}{0.0965} =0.1865\)

=0.1865

18.65% probability that the person is from Washington

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Answer:

( 1, 35 )

Step-by-step explanation:

y=mx+c

c= y-intercept ( where the graph line crosses the cross line)

c=0

mx = gradient ( rise/run, up/across )

mx = 175/5 ( you could have picked any point in the graph )

mx = 35

the m is useless now so we discard it

y= 35x+0

if x = 1

then y = 35(1)+0

y= 35

at the coordinate x=1 y is 35

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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To prove that triangle PQR is a right triangle, we need to show that it satisfies the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we need to check if 12.5^2 + 30^2 = 32.5^2 holds true.

In triangle PQR, let's label the sides as follows: PQ = 12.5 cm, QR = 30 cm, and RP = 32.5 cm.

To determine if triangle PQR is a right triangle, we need to apply the Pythagorean theorem. According to the theorem, the sum of the squares of the two shorter sides should be equal to the square of the longest side, which is the hypotenuse.

Calculating the squares of the side lengths:

PQ^2 = (12.5 cm)^2 = 156.25 cm^2

QR^2 = (30 cm)^2 = 900 cm^2

RP^2 = (32.5 cm)^2 = 1056.25 cm^2

Now, we check if PQ^2 + QR^2 = RP^2:

156.25 cm^2 + 900 cm^2 = 1056.25 cm^2

Since the equation is true, i.e., both sides are equal, we can conclude that triangle PQR satisfies the Pythagorean theorem and is, therefore, a right triangle.

Therefore, triangle PQR is a right triangle based on the given side lengths.

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Answer:

14

Step-by-step explanation:

1 x 2 x 1 3/4 (or 1.75) = 3.50

Now, divide 3.50 by 1/4 (or 0.25) to get 14

14 1/4 centimeter cubes will fill the prism

You are in a hurry and I don't think that you really need the explanation so its 224 cubes