A football player is practicing making field goals from the 30-yard line. if the probability of his kicking a field goal is 0.75, what is the probability he will kick at least 12 field goals in the next 15 tries

Answer:

it is b i did it on eg 2020

Step-by-step explanation:

Answer:

22.7 feet

Step-by-step explanation:

Area of a rectangle=Length X Width

If:

Substituting into the formula for area

317.8 = Length X 14

Divide both sides of the equation by 14

\(\dfrac{Length X 14}{14}= \dfrac{317.8}{14}\)

Length =22.7 feet

The length of the fence is 22.7 feet.

Answer:

#6:10

Step-by-step explanation:

Answer:

#9 is x=14

#7 is C 138

#6 is x=10

#5 is p=40

Answer:

12-9

Step-by-step explanation:

The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873

Let X shows the number of messages received per hour. The pdf of X is

\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)

Therefore, the probability that 5 messages are received in a single hour is

\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)

(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is

\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)

(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is

\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)

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Answer:

Rational Number

Step-by-step explanation:

A rational number is a number that is expressed as a fraction. That means that the number could be a decimal or a percentage. The number given to us is 2.73 is a decimal so the number is a rational number.

Hope This Helps :)

To find the length of a polar curve, we use the formula:

L = ∫(a to b) √[r(θ)² + (dr(θ)/dθ)²] dθ, where r(θ) is the polar equation. In this case, the polar equation is r(θ) = 8cos(θ), and we need to find the length for 0 ≤ θ ≤ 3π/4. Differentiating r(θ) with respect to θ, we get dr(θ)/dθ = -8sin(θ).

Plugging these values into the formula and integrating, we have:

L = ∫(0 to 3π/4) √[8cos(θ)² + (-8sin(θ))²] dθ

  = ∫(0 to 3π/4) √[64cos²(θ) + 64sin²(θ)] dθ

  = ∫(0 to 3π/4) √(64) dθ

  = ∫(0 to 3π/4) 8 dθ

  = 8θ | (0 to 3π/4)

  = 8(3π/4)

  = 6π.Therefore, the length of the polar curve x = 8cos(θ) for 0 ≤ θ ≤ 3π/4 is 6π units.

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The volume of the solid that lies within both the cylinder is 4π/3

We can use cylindrical coordinates to solve this problem. In cylindrical coordinates, we have:

x = r cos θ

y = r sin θ

z = z

The equation of the cylinder is:

x^2 + y^2 = 4

Substituting in the expressions for x and y, we get:

r^2 cos^2 θ + r^2 sin^2 θ = 4

r^2 = 4

So the cylinder has radius 2 and height h.

The equation of the sphere is:

x^2 + y^2 + z^2 = 9

Substituting in the expressions for x and y, we get:

r^2 + z^2 = 9

So the sphere has radius 3.

To find the volume of the solid that lies within both the cylinder and the sphere, we need to integrate the function 1 over this region:

V = ∫∫∫ dV

In cylindrical coordinates, the volume element is:

dV = r dr dθ dz

The limits of integration are:

0 ≤ r ≤ 2

0 ≤ θ ≤ 2π

-√(9 - r^2) ≤ z ≤ √(9 - r^2)

So we have:

V = ∫∫∫ dV

V = ∫₀² ∫₀²π ∫_{-√(9 - r^2)}^{√(9 - r^2)} r dz dθ dr

V = ∫₀² ∫₀²π 2r√(9 - r^2) dθ dr

V = 2π ∫₀² r√(9 - r^2) dr

We can make the substitution u = 9 - r^2, du = -2r dr, and write:

V = -π ∫₉¹ √u du

V = -π [2/3 u^(3/2)]₉¹

V = -π [2/3 (9 - 1/3)]

V = 4π/3

So the volume of the solid that lies within both the cylinder and the sphere is 4π/3.

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The value of c in equation y= 0. 884 sin(0. 245x - 1. 093) + 0. 400 is c. 0. 245.

The given equation represents a sine regression model, where y is the dependent variable and x is the independent variable. The equation includes a sine function with a frequency of 0.245 and an amplitude of 0.884. The constant term, 0.400, represents the vertical shift or the y-intercept of the graph. The phase shift, 1.093, determines the horizontal shift of the graph.

To find the value of c, we need to look at the coefficient of x in the sine function. In this case, the coefficient of x is 0.245, which represents the frequency or the number of complete cycles that occur in a given interval. Therefore, the answer is (c) 0.245.

It's important to note that the coefficient of x in a sine regression model represents the frequency and not the phase shift or the horizontal shift. The phase shift is determined by the constant term in the sine function.

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Answer:

Step-by-step explanation:

The largest angle is opposite to the largest side.

Since the largest side is BC, the largest angle is A.

Work out the angle measure using the law of cosines:

Answer:

Its a

Step-by-step explanation:

Answer:

n = 72

Step-by-step explanation:

Multiply both sides of the equation by  8

\(8*\frac{n}{8}=8*9\)

Simplify/Solve.

\(n=72\)

hope this helps :)

An increase in the exchange rate of the U.S. dollar relative to a trading partner can result from higher interest rates and higher inflation in the U.S. The correct answer is option (e).

This is because higher interest rates attract foreign investors to the U.S., increasing demand for the U.S. dollar and causing its value to rise relative to other currencies.

Higher inflation in the U.S. also makes the dollar less attractive to foreign investors, causing its value to decline.

The other options listed may affect trade and economic activity, but do not directly impact the exchange rate.

Therefore, the correct option is (e) higher interest rates and higher inflation in the U.S.

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Step-by-step explanation:

First of all, let us lay down the clues;

●There is a 20% discount on the mobile set.

●The price after the discount is Rs 13 920

●We need to find the original price.ie.(100% stands for original price)

Now let's start;As there is a 20% Discount on the m.Set, we need to find the exact percentage decrease.

So,

100%-20%= 80%

Now let's do Direct Proportion,

80%= Rs 13 920

1%= 13 920/80

100%= 13 920/80*100=Rs 17 400

RS 17 400

Answer:

53

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

In the formulation of a mathematical model for an evaporator, the following are five key assumptions:

1. Constant volume and density of the system.

2. Evaporation takes place only from the surface of the liquid.

3. The transfer of heat takes place only through conduction.

4. The heat transfer coefficient does not change with time.

5. The properties of the liquid are constant throughout the system.

Derivation of the total mass balance equation:

The total mass balance equation relates the rate of mass flow of material entering a system to the rate of mass flow leaving the system.

It is given by:

Rate of Mass Flow In - Rate of Mass Flow Out = Rate of Accumulation

Assuming that the evaporator operates under steady-state conditions, the rate of accumulation of mass is zero.

Hence, the mass balance equation reduces to:

Rate of Mass Flow In = Rate of Mass Flow Out

Let's assume that the mass flow rate of the feed stream is represented by m1 and the mass flow rate of the product stream is represented by m₂.

Therefore, the mass balance equation for the evaporator becomes:

m₁ = m₂ + me

Where me is the mass of water that has been evaporated. This equation is useful in determining the amount of water evaporated from the system.

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Answer:

60°

Step-by-step explanation:

Vertical angles are congruent.

Answer:

60 degrees

Step-by-step explanation:

In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

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Answer:

10,5

Step-by-step explanation:

After a dilation of 5, it should become 10 and 5 because it was 2,1 before.

Finding the midpoint of a line segment is easy.

In a two-dimensional Cartesian plane with known endpoints, the abscissa value of the midpoint is half the sum of the abscissa values of the endpoints, and the ordinate value is half the sum of the ordinate values of the endpoints.

Based on this information, we can comfortably say that the midpoint of this line segment is as follows;

Let the midpoint of this segment is \(M(x_{1},y_{1})\).

Hence, the midpoint of this segment is \((6,4)\).

Answer:

Step-by-step explanation:

P(3 and 4)= 1/6×1/6

                =1/36

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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The sample means are distributed along the x-axis for a sampling distribution of a sample mean.

A sample mean is an average of a set of data, that can be used to calculate the central tendency, standard deviation and the variance of a data set.

Now,

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The probability of being dealt a card that helps improve your hand is approximately 0.7083 or 70.83%.

To determine the probability of being dealt a card that helps you, we need to consider two factors: the number of favorable cards remaining in the deck and the total number of cards remaining.

At the beginning of the game, a standard deck of 52 cards is used. After the initial deal, you and the dealer have each received two cards, so there are 52 - 4 = 48 cards remaining in the deck.

To determine the favorable cards that can improve your hand, we need to consider the possible outcomes. In this case, you have a four and a jack, and you're looking to improve your hand. Let's analyze the possibilities:

To improve your hand to a better total without exceeding 21, you would want to draw a card between 5 and 9, inclusive. In this case, you know that the dealer's one visible card is a five, so there are three more fives left in the deck. Additionally, there are four cards each of 6, 7, 8, and 9, making a total of 16 favorable cards for improving your hand.

Lastly, if you're hoping to improve your hand to a total of 20, you would need an ace, 2, 3, or 6. As we assumed earlier, there are three aces remaining, and there are four cards each of 2, 3, and 6. So there are a total of 3 + 4 + 4 + 4 = 15 favorable cards for achieving a total of 20.

In total, the number of favorable cards for improving your hand is 3 (blackjack) + 16 (improve to a better total) + 15 (improve to a total of 20) = 34.

To calculate the probability, we divide the number of favorable cards by the total number of cards remaining in the deck:

Probability = Number of Favorable Cards / Total Number of Cards Remaining

Probability = 34 / 48

Simplifying the fraction, the probability is 17 / 24 or approximately 0.7083 (rounded to four decimal places).

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Answer:

7

Step-by-step explanation:

(4, -8) and (-1, 3), formula used will be \(y_{1}-y_{2}\)/\(x_{1} -x_{2}\) so:

-1 - (-8)/3 - 4 = -1 + 8/1 = 7/1 = 7

i edited my answer a few times cause i read the points wrongly so just know that this is the correct one.

4/6=2/3 (divide both numerator and denominator by 2 (gcd)).

Hope this helps.

2/3

Hope this helps!! Good luck! :)