Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempted during his hockey practice

Option a.70 is Correct.

What is the Probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.

Simulations would be the most likely to reproduce results predicted by probability theory. Due to the law of large numbers, as the number of trials increases, the actual ratio of outcomes will converge on the theoretical, or expected, ratio of outcomes.

Hence, option a.70 is correct.

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If the points lie on straight line then, the points should be collinear.

We enter the values and check to see whether we receive a true statement, such as "10 Equals 10," to determine whether a point (x, y) is on the graph of a line. The point is not on the line if we obtain a result other than 6 = 4, as it does not meet the equation. Two lines will coincide if they have a same point and have the same slope. To put it another way, if A, B, and C are three points in the XY plane, they will all lie on a line, or three points will be collinear, but only if AB's slope and BC's slope are both equal.

(a) ab=kac

(3-2,8-6,0-1)=k(1-2,4-6,2-1)

⇒(1,2,-1)=k(-1,-2,1)=-k(1,2,-1) these are the points lie on stright line.

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The resulting polynomial in standard form is 7\(m^5\) - 3\(m^3\) - 3.

To simplify the given polynomial expression and write it in standard form, let's break it down step by step:

(\(6m^5 + 3 - m^3 - 4m\)) - (-\(m^5 + 2m^3\)- 4m + 6)

First, distribute the negative sign inside the parentheses:

\(6m^5 + 3 - m^3 - 4m + m^5 - 2m^3 + 4m - 6\)

Next, combine like terms:

\((6m^5 + m^5) + (-m^3 - 2m^3) + (-4m + 4m) + (3 - 6)\)

7m^5 - 3m^3 + 0m + (-3)

Simplifying further, the resulting polynomial in standard form is:

7\(m^5\) - 3\(m^3\) - 3

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The probable question may be:

\((6m5 + 3 - m3 -4m) - (-m5+2m3 - 4m+6)\)

write the resulting polynomial in standard form

Answer:

40% of the fruit in the bowl are oranges.

Step-by-step explanation:

12/30=0.4

Answer:

\(\dfrac{1}{6561}\)

Step-by-step explanation:

Given the expression \([(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}\), Using the laws of indices to simplify the expression. The following laws will be applicable;

\(a^m*a^n = a^{m+n}\\(a^m)^n = a^{mn}\\\)

\(a^{-m} = 1/a^m\)

Given \([(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}\)

open the parenthesis

\(= (2^{-2})^{-3}(3^{4})^{-3}* (2^{-3})^2(3^2)^2\\\\= 2^{-2*-3}* 3^{4*-3} * 2^{-3*2} * 3^{2*2}\\\\= 2^6 * 3^{-12} * 2^{-6} * 3^4\\\\collecting \ like \ terms\\\\= 2^6 * 2^{-6} * 3^{-12} * 3^4\\\\= 2^{6-6} * 3^{-12+4}\\\\= 2^0 * 3^{-8}\\\\= 1 * \frac{1}{3^8}\\ \\= \frac{1}{6561}\)

Answer:

" Expected Payoff " ⇒ $ 0.830

Step-by-step explanation:

Consider the probability of entering 1 ticket out of the 1000 entered;

\(Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83\)

Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The length of a training track running around the field is  \(Z = 377.54 \ m\)

Step-by-step explanation:

From the question we are told that

      The length of the field is  \(L= 93 \ m\)

       The width of the field is  \(W = 61 \ m\)

The length of the two semicircle is mathematically evaluated as

          \(A = 2 * \pi * \frac{W}{2}\)

substituting values

          \(A = 2 *3.142 * \frac{61}{2}\)

         \(A = 191.54 \ m\)

Now the length of a training track running around the field is

       \(Z = A + 2 L\)

  substituting values

       \(Z = 191.54 + 2 (93)\)

       \(Z = 377.54 \ m\)

We know that it took 18 hours to drive 666 miles. If we divide the distance by the hours (666 miles)/(18 hours)

We find that 666/18= 37 miles per hour . which means we travel 37 miles each hour.

So, we can estimate that driving 37 miles it will take 1 hour (the distance to Chicago).

Answer:

666/18=37miles/hour

it would take 1 hour to drive 37 miles

Answer:

To rationalize the denominator of 5/√3+√7, we can multiply the numerator and denominator by the conjugate of the denominator, which is √3-√7.

The product of (√3+√7) and (√3-√7) is the difference of squares, which is (√3)^2 - (√7)^2 = 3-7 = -4.

Thus, we have:

5/√3+√7 * (√3-√7)/(√3-√7) = 5(√3-√7)/(-4) = -5/4(√7-√3)

Therefore, the rationalizing factor is (√3-√7).

ANSWER:

2 1/2 cups of milk

STEP-BY-STEP EXPLANATION:

We have the following:

Number of batches of pancake to be made = 6 batches

Number of cups of milk needed for each batch = 5/12

Hence, to obtain the total number of cups of milk needed for the batches, it will be calculated as follows:

Therefore, it takes 5/2 or 2.5 cups of milk to make 6 batches.

Using Stokes' Theorem and the given vector, we have approximated the line integral ∫C(ydx+zdy+xdz) to be equal to the area of the region R, which is 2.

To approximate the line integral ∫C(ydx+zdy+xdz) using a computer algebraic system (CAS) and Stokes' Theorem, we first need to find the intersection of the plane x+y=2 and the curve C.

1. Find the parametric equations for the curve C:
  Let x = t, then y = 2 - t, and z = 0.
  So, the parametric equations for C are:
  x = t, y = 2 - t, and z = 0.

2. Calculate the cross product of the tangent vector and the given vector:
  The tangent vector to the curve C is given by dr = (dx, dy, dz) = (1, -1, 0).
  The given vector is V = (y, z, x) = (2 - t, 0, t).

  Taking the cross product of dr and V, we get:
  dr x V = (dy * dz - dz * dy, dz * dx - dx * dz, dx * dy - dy * dx)
         = (0 - 0, 0 - 0, 1 - (-1))
         = (0, 0, 2).

3. Evaluate the line integral using Stokes' Theorem:
  The surface S enclosed by the curve C is the projection of the region R in the xy-plane bounded by the curve C.

  Applying Stokes' Theorem, we have:
  ∫C(ydx+zdy+xdz) = ∬S(curl(F) · dS),

  where curl(F) = (curl(F1), curl(F2), curl(F3)) and dS is the surface area vector.

4. Determine the curl of F:
  Since F = (y, z, x), we have:
  curl(F) = (0, 0, 1).

5. Calculate the surface area vector dS:
  The surface area vector dS is given by dS = (dSx, dSy, dSz).

  Since the surface S is in the xy-plane, dSx = 0, dSy = 0, and dSz = 1.

  Therefore, dS = (0, 0, 1).

6. Evaluate the surface integral:
  ∫C(ydx+zdy+xdz) = ∬S(curl(F) · dS)
                   = ∬S(0 * 0 + 0 * 0 + 1 * 1) dS
                   = ∬S dS.

  Since the surface S is a region in the xy-plane, the double integral of dS over S is simply the area of S.

7. Find the area of the region R:
  The region R is the projection of the plane x+y=2 onto the xy-plane.

  To find the area of R, we can solve the equation x+y=2 for y:
  y = 2 - x.

  The region R is bounded by the lines x = 0, x = 2, and the curve C.

  Integrate the expression 2 - x with respect to x over the interval [0, 2] to find the area A:
  A = ∫[0, 2] (2 - x) dx.

  Solving this integral, we get:
  A = [2x - (x^2)/2] evaluated from 0 to 2
    = [4 - 2] - [0 - 0]
    = 2.


Using Stokes' Theorem and the given vector, we have approximated the line integral ∫C(ydx+zdy+xdz) to be equal to the area of the region R, which is 2.

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The integral is equal to 1/2 [ln|1 + v| - ln|1 - v|] + C.

The integral in this exercise converges, which means that it has a finite value.

To evaluate the integral without using a table, start by breaking the fraction into partial fractions.

Use the identity 2 cot-1v = ln(v²+1) - ln(v²-1) and partial fractions to rewrite the integral as follows:

∫ dv/[(1 + v)(1 - v)]

= ∫ [1/2(1 + v) - 1/2(1 - v)] dv

= 1/2 ∫ [1/(1 + v) - 1/(1 - v)] dv

= 1/2 [ln|1 + v| - ln|1 - v|] + C, where C is the constant of integration.

Therefore, the integral is equal to 1/2 [ln|1 + v| - ln|1 - v|] + C.

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Answer:

1.45

Step-by-step explanation:

1. divide both sides of the equation by 20 to get rid of the 2o on the right side

\(\frac{29}{20}\)= p x \(\frac{20}{20}\)

now u end up with 1.45=p

hope it helped

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Edge

Answer:

Step-by-step explanation:

f(x) = 4-x

g(x) = h\(x^{2}\)+k

g(f(x)) = 2\(x^{2}\)-16x+26

so put  f(x)  in g(x)

h\((4-x)^{2}\)+k

h((4-x)(4-x) + k

h(\(x^{2}\)-8x+16)+k

if h = 2 , then

2\(x^{2}\)-16x+32 + k

and we want 26  instead of 32 so subtract 6 so K = (-6)

2\(x^{2}\)-16x+32 + (-6)

2\(x^{2}\)-16x+32 - 6

2\(x^{2}\)-16x+26

h=2

k=(-6)

(L3) Circumcenters and centroids involve midpoint.   Circumcenters and centroids are important points in a triangle that are determined by the location of the vertices and midpoints of the sides.

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, while the centroid is the point where the medians of a triangle intersect. Both of these points involve the midpoint of the sides of the triangle. The circumcenter involves the midpoint of the perpendicular bisectors of the sides, while the centroid involves the midpoint of the sides themselves. The location of these points can provide valuable information about the geometry of the triangle, such as its center of mass or the location of its circumcircle.

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Answer:

v÷change=1day

Step-by-step explanation:

there is that equation

Probability that jim will not be accepted at either university is 0.42

He has applied to two different universities.

the acceptance rate for applicants with similar qualifications is 30% for university x

the acceptance rate for applicants with similar qualifications is 40% for university Y

Here, getting accepted into the two different universities are two independent events.

P(A or B) = P(A) x P(B)

Probability of not getting accepted in university X is 1 - 0.30

Probability of not getting accepted in university Y is 1 - 0.40

Probability that jim will not be accepted at either university

P'(X or Y) = P'(X) x P'(Y)

=(1 - 0.30) x(1 - 0.40) = 0.70 x 0.60 = 0.42

Therefore, Jim will not be accepted at either university has a probaility of 0.42 or 42%

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Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

View Image

Step-by-step explanation:

You are correct on both of them.

Answer:

5x - 5 = -25

6y - 4 = 2(3y - 2)?

4x + 10 = 2(2x + 5)

Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Answer:

b ≈ 8.49

Step-by-step explanation:

A^2 + b^2 = c^2.   (Pythagorean theorem)

c is the hypotenuse or the longest side of a triangle.

a and b are the other 2 sides.

17^2 + b^2 = 19^2

289 + b^2 = 361

289 + b^2 - 289 = 361 - 289

b^2 = 72

b ≈ 8.49

Have a great day!

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Based on the percentage discount that one gets from the promotion using a jar, the average discount amount the shoe store can expect to give each customer is $15.

The average discount in percentages will be:

= (3/6 x 10%) + (2/6 x 30%) + (1/6 x 60%)

= 5% + 10% + 10%

= 25%

The average discount in cash amounts is:

= 25% x 60

= $15

In conclusion, the average discount amount that the store can expect to give each customer in dollars is $15.

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Answer: B I think

Step-by-step explanation:

The incorrect statement is 3+2/2=5/2

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

The given expression which is incorrect is

3+2/2=5/2

3+1 = 4 which is an even number.

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a. the coordinate vector of v with respect to the basis B is [2, -1, 0, 3].

b. the coordinate vector of v with respect to the basis B is [4, 0, 0, 0, 0, 0].

c. the coordinate vector of v with respect to the basis B is [-5, 2].

d. the coordinate vector of v with respect to the basis B is [-2, 0, 0, 3].

(a) To find the coordinate vector of v with respect to the basis B = {1, 2, ², ³} in the vector space V = P₁, we need to express v as a linear combination of the basis vectors and then find the coefficients.

v = 2 - x + 3r²

To express v as a linear combination of the basis vectors:

v = a₁(1) + a₂(2) + a₃(²) + a₄(³)

Comparing the coefficients of each basis vector, we get the system of equations:

a₁ = 2

a₂ = -1

a₃ = 0

a₄ = 3

Therefore, the coordinate vector of v with respect to the basis B is [2, -1, 0, 3].

(b) To find the coordinate vector of v with respect to the basis B = {E₁₁, E₁₂, E₂₁, E₂₂, E₃₁, E₃₂} in the vector space V = M₂₃, we need to express v as a linear combination of the basis vectors and then find the coefficients.

v = 4

To express v as a linear combination of the basis vectors:

v = a₁(E₁₁) + a₂(E₁₂) + a₃(E₂₁) + a₄(E₂₂) + a₅(E₃₁) + a₆(E₃₂)

Comparing the coefficients of each basis vector, we get the system of equations:

a₁ = 4

a₂ = 0

a₃ = 0

a₄ = 0

a₅ = 0

a₆ = 0

Therefore, the coordinate vector of v with respect to the basis B is [4, 0, 0, 0, 0, 0].

(c) To find the coordinate vector of v = 2 - 5x with respect to the basis B = {x+1, -1} in the vector space V = P₁, we need to express v as a linear combination of the basis vectors and then find the coefficients.

v = a₁(x+1) + a₂(-1)

Expanding and comparing coefficients, we get the system of equations:

a₁ = -5

a₂ = 2

Therefore, the coordinate vector of v with respect to the basis B is [-5, 2].

(d) To find the coordinate vector of v = [-2, 0; 0, 3] with respect to the basis B = {[1, 0; 0, 0], [0, 1; 0, 0], [0, 0; 1, 0], [0, 0; 0, 1]} in the vector space V of all diagonal 2x2 matrices, we need to express v as a linear combination of the basis vectors and then find the coefficients.

v = a₁[1, 0; 0, 0] + a₂[0, 1; 0, 0] + a₃[0, 0; 1, 0] + a₄[0, 0; 0, 1]

Comparing the coefficients, we get the system of equations:

a₁ = -2

a₂ = 0

a₃ = 0

a₄ = 3

Therefore, the coordinate vector of v with respect to the basis B is [-2, 0, 0, 3].

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Answer:

23.20

Step-by-step explanation:

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Answer:

α ≈ 23.20°

Step-by-step explanation:

given all 3 sides of the triangle , then any of the trig ratios may be used, that is sine, cosine or tangent to find α

tanα = \(\frac{opposite}{adjacent}\) = \(\frac{3}{7}\) , then

α = \(tan^{-1}\) ( \(\frac{3}{7}\) ) ≈ 23.20° ( to the nearest hundredth )

or

sinα = \(\frac{opposite}{hypotenuse}\) = \(\frac{3}{\sqrt{58} }\) , then

α = \(sin^{-1}\) ( \(\frac{3}{\sqrt{58} }\) ) ≈ 23.20° ( to the nearest hundredth )

or

cosα = \(\frac{adjacent}{hypotenuse}\) = \(\frac{7}{\sqrt{58} }\) , then

α = \(cos^{-1}\) ( \(\frac{7}{\sqrt{58} }\) ) ≈ 23.20° ( to the nearest hundredth )