Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.

Answer

(-3, -11), (1, 5)

Explanation

To solve this, we will solve this, we will equate the expressions for y

y = -x² + 2x + 4

4x - y = -1

y = 4x + 1

y = y

4x + 1 = -x² + 2x + 4

x² + 4x - 2x + 1 - 4 = 0

x² + 2x - 3 = 0

x² + 3x - x - 3 = 0

x (x + 3) - 1 (x + 3) = 0

(x + 3) (x - 1) = 0

x + 3 = 0

x = -3

OR

x - 1 = 0

x = 1

y = 4x + 1

If x = -3

y = 4x + 1 = 4(-3) + 1 = -12 + 1 = -11

If x = 1

y = 4x + 1 = 4(1) + 1 = 4 + 1 = 5

(-3, -11) OR (1, 5)

Hope this Helps!!!

Answer:

n= 27

Step-by-step explanation:

To solve first subtract the 90-degree angle:

180-90= 90

Then, convert into an equation:

3n+9= 90

Subtract 9 from both sides:

3n=81

Then divide by 3:

n= 27

Hope this helps!

Answer:

d=20

Step-by-step explanation:

To find the distance between 2 points we use the distance formula

d = √(x2 - x1)²+(y2 - y1)²

The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).

Substitute the given points into the distance formula.

d = √(4 + 8)²+(10 +6)²

d = √144+252

d= √400

d = 20

Answer: 18/9 if not it's something along that-

Step-by-step explanation:

7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-

For equation 1:

y intercept = (0, 1)

x intercept = (-0.5, 0)

For equation 2:

y intercept = (0, -1)

x intercept = (-1, 0)

Option B is correct

Answer:

This is a function and there is no value of x for which we will get two or more different values of y.

Step-by-step explanation:

Now, this is a function and there is no value of x for which we will get two or more different values of y

The equation is y = 2x

bye

Answer:

Step-by-step explanation:

The distances they jumped were

x,y,z

y=x+2

z=x+2+2=x+4

x+y+z=12.69

x+x+2+x+4=12.69

3x+6=12.69

3x=6.69

x=2.23

So Jack jumped 2.23m, Alex jumped 4.23m, and Amir jumped 6.23m.

Answer:

A) 15

Step-by-step explanation:

a = 3   b = 5  c = 7

a + b + c

3 + 5 + 7 = 15

Answer:

I believe it is A 15

Step-by-step explanation:

Answer:

y = -11x + 9

Step-by-step explanation:

m = -11

x = -1

y = 20

Plug those values into the equation to find b: y = mx + b

20 = (-11)(-1) + b

---> b = 9

Plus m = -11 and b = 9 into y = mx + b

---> y = -11x + 9

A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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Answer:

2 4/5, 0.6, -1.5, -2 3/10

Step-by-step explanation:

2 4/5, -2 3/10, -1.5, 0.6

2 4/5 = 14/5 = 2.8

-2 3/10 = -23/10 = -2.3

Greatest to least: 2 4/5, 0.6, -1.5, -2 3/10

The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

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The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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The linear equation that represents the distance (d) above ground level after t seconds is d = -2t + 28

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a linear equation is:

y = mx + b

Where m is the rate of change (slope) while b is the y intercept.

Let d represent the distance that you are from ground level over time t seconds.

Suppose you are in a building at 28 feet above ground level and you take an escalator down to ground level. On the escalator, your distance above ground level changes by - 2 feet per second. Hence:

d = -2t + 28

The linear equation is d = -2t + 28

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Answer:

68

Step-by-step explanation:

As the date in the box plot ends at 68. it is the maximum value

Answer:

8

Step-by-step explanation:

fist take y2-y1 to get 16 that do x2-x1 to get 2 the do 16 divided by to to get 8

Answer:

3/4 +3/4 =

as a mixed number=

Answer:

33  1/3

Step-by-step explanation:

20        5

---    *    --------=      100/3    

3            1

Answer:

\(\frac{100}{3}\)

Step-by-step explanation:

6 \(\frac{2}{3}\) ÷ \(\frac{1}{5}\)

Divided \(\frac{6 x 3+2}{3}\) by \(\frac{1}{5}\) by multiplying \(\frac{6x3+2}{3}\) by the reciprocal of \(\frac{1}{5}\)

\(\frac{(6x3+2) x5}{3}\)

Multiply 6 and 3 to get 18.

\(\frac{(18 + 2) x 5}{3}\)

Add 18 and 2 to get 20.

\(\frac{20 x 5}{3}\)

Multiply 20 and 5 to get 100.

\(\frac{100}{3}\)

Hope it helps. =D

Have a great day!

Using the probability concept, it is found that:

a) The tree diagram is given by the image at the end of the answer.

b) The probability is of 0.18 = 18%.

c) The probability is of 0.72 = 72%.

A probability is calculated as the number of desired outcomes in the experiment divided by the number of total outcomes in the experiment.

For item a in this problem, we have two independent events, hence the tree diagram will contain two nodes, one with each event and it's probabilities.

For item b, since the events are independent, to find the probability of both, we multiply the probability of each, hence:

0.3 x 0.6 = 0.18.

For item c, first we find the probability of none being completed, hence:

(1 - 0.3) x (1 - 0.6) = 0.7 x 0.4 = 0.28.

At least one is complementary to none, hence the probability is given as follows:

p = 1 - 0.28 = 0.72 = 72%.

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I am a teacher for all subjects so the answer is 201 m

The final answer is: 5 quarts, 1 pint, and 0.5 cups based on conversion.

To add these two quantities, we first need to convert all of the measurements to a common unit. Since we are adding pints and cups, we can convert everything to cups, and then convert back to pints and quarts as needed.

5 pints is equal to 5 x 2 = 10 cups (since there are 2 cups in a pint).

2 cups is 2 cups.

3 pints is equal to 3 x 2 = 6 cups.

3 cups is 3 cups.

Now we can add the quantities:

10 cups + 2 cups + 6 cups + 3 cups = 21 cups

To convert 21 cups back to pints and quarts, we can use the fact that there are 2 cups in a pint, and 4 cups in a quart.

First, we can divide 21 by 4 to find the number of quarts:

21 cups ÷ 4 = 5 with a remainder of 1 cup

So we have 5 quarts and 1 cup. To convert the remaining cup to pints, we can divide by 2:

1 cup ÷ 2 = 0.5 pints

Therefore, the final answer is:

5 quarts, 1 pint, and 0.5 cups.

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The question is incomplete as the side lengtb of the cube isn't given. Taking the side length to b

be a value, x

Answer:

Step-by-step explanation:

Given that :

The side length = x

To obtain the amount of fabric which would be required for covering the funky, we Obtian the total surface area of the foam. Cube.

Using he relation :

Surface area of a cube = 6 * s² ; the side length s = x

Surface area = 6 * x².

Hypothetically,

Let x = 7 cm

E

Answer:

[0,∞) or x ≥0

Notice that the graph doesn't go to the left of x = 0. It only goes right. This means that the domain (all possible values of x), can only be the values above 0.  

Answer: the answer is

53.1

Answer:

Option 4

Step-by-step explanation:

\(\left( \frac{3x+5}{y^6}\right)\left(\frac{4y^3}{5}\right) = \frac{(3x+5)(4y^3)}{5y^6} = \frac{12xy^3 + 20 y^3}{5y^6} = \frac{12x + 20}{5y^3}\)

Answer:

Step-by-step explanation:

According to table we have units:

Comparing the two units we can see that:

Then we can convert the distance in mm to Km:

Correct choice is B

Answer:B

Step-by-step explanation:

Answer:

77.10-pound sterling

Step-by-step explanation:

Has not been rounded

Answer:

2 is the scale factor

The scale factor for the dilation from Q(1, 2) to its image Q’(2, 4) is 2.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

A dilation maps point Q(1, 2) to its image Q’(2, 4).

This means,

Q = (1, 2) → Q' = (2, 4)

Now,

If we multiply 2 on Q = (1, 2)

We get,

Q = (2 x 1, 2 x 2) = (2, 4)

This is Q'.

So,

The scale factor is 2.

Thus,

The scale factor is 2.

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Answer:

m<2 = 120

Step-by-step explanation:

When two lines are parallel and are intersected by a transversal, same side exterior angles are supplementary, meaning that their angle measures add up to 180 degrees.

Using this, one can form the equation;

m<8 + m<2 = 180

Substitute,

60 + m<2 = 180

Inverse operations,

60 + m<2 = 180

-60              -60

m<2 = 120

Answer:

Step-by-step explanation:

Solution

<8 = 60 degrees.

<6 is <8s supplement

<6 + <6 = 180

60 + <6 = 180

<6 = 180 - 60

<6 = 120

<2 and <6 are corresponding angles and are therefore equal.

<2 = 120