What is the probability of not pulling a 7 of hearts from a deck of 52 cards

Answer:

-99232

Step-by-step explanation:

PEMDAS

Solve in the brackets/parenthesis and expand out

4*9=36*3=108-12=96

Now we have (96)*8-10^5

Next up is exponents so -10^5 is -100000

Next is multiplication so  (96)*8=768

Lastly is subtraction: 768-100000= -99232

Scientific notation of this answer is -9.9232*10^4 (depends which answer they are looking for)

Answer:

481.92

Step-by-step explanation:

First find the increase

466.98 * 3.2%

466.98 * .032

14.94336

Add this to the original amount

466.98+14.94336

481.92336

Round to 2 decimal places

481.92

Answer:

−2⋅(2x−3)⋅(x+1)

Step-by-step explanation:

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

Point Z(3,-17)

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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Answer:

Answer is 125

Step-by-step explanation:

5^3= 5*5*5= 125

Answer:

64 and 125

Step-by-step explanation:

The measure of angle BCA is 81 degrees.                                            

Answer:

p = 13

Step-by-step explanation:

When a polynomial f(x) is divided by (x + h) then the remainder is f(- h)

Here both polynomials are divided by (x + 1)

Evaluate them both for x = - 1

3(- 1)³ - 5(- 1)² - 4(- 1) + p, that is

- 3 - 5 + 4 + p

= p - 4 → A

6(- 1)³ + p(- 1)² + 9(- 1) + 5, that is

- 6 + p - 9 + 5

= p - 10 → B

Given that A = 3B, then

p - 4 = 3(p - 10)

p - 4 = 3p - 30 ( subtract 3p from both sides )

- 2p - 4 = - 30 ( add 4 to both sides )

- 2p = - 26 ( divide both sides by - 2 )

p = 13

We proved that \(\angle2\cong\angle4\).

Given: \(\angle2\) and \(\angle4\) are vertical.

We have to prove \(\angle2\cong\angle4\)

The \(\cong\) means congruence which means \(\angle2\) and \(\angle4\) both have same size and angle. We have to show that they both have same size or angle to prove them congruence.

As we know that the value of straight line is \(180^{o}\).

From the given figure we can see that

\(\angle1+\angle2=180^{o}\)

\(\angle3+\angle4=180^{o}\)

\(\angle1+\angle4=180^{o}\)

\(\angle2+\angle3=180^{o}\)

To prove the \(\angle2\cong\angle4\) we subtract \(\angle1+\angle2=180^{o}\) and \(\angle1+\angle4=180^{o}\)

\(\angle1+\angle2-(\angle1+\angle4)=180^{o}-180^{o}\)

We first simplify bracket. When we multiply with the subtraction sign then the sign under the bracket will changed.

\(\angle1+\angle2-\angle1-\angle4=0\)

There have \(\angle1\) in addition and subtraction then there only remains

\(\angle2-\angle4=0\)

We can write that notation as

\(\angle2=\angle4\)

Since \(\angle2=\angle4\), that means they both have same angle.

So we proved that \(\angle2\cong\angle4\).

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Step-by-step explanation:

3x+7y-12=0

3x+7y=12

3x=12-7y

x=12-7y/3

Answer:

your answer is C

Step-by-step explanation:

i did the math

The family would more likely choose the stock option, if the period of investment is 20 years, after calculating the simple & compound interest.

$999.60 is 1.02 times $980, and $1,019.59 is 1.02 times $999.60.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.

They may choose bonds or savings account depending on the assumptions they make about the time frame of the investment.

The value of the bonds b=1,000+20x and value of the stocks is s=980⋅(1.02)x , where x is the number of years since the investment were made.

For 10 years, the value of the bond will be

b=1,000+200=1,200 dollars.

The value of the stock will be s=980⋅(1.02)10≈1,195 dollars.

They should choose the bond option if the period of investment is 10 years.

For 20 years, the value of the bond will be

b=1000+400=1,400 dollars.

The value of the stock will be 980⋅(1.02)20=1,456980⋅(1.02)20=1,456 dollars.

So they choose the stock option, if the period of investment is 20 years.

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The complete question is:

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope intercept form is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (-2,3) (2,5)

We see the y increase by 2 and the x increase by 4, so the slope is

m = 2/4 = 1/2

The y-intercept located at (0,4)

So, the equation is y = 1/2x + 4

The amount of tax that Walmart pay annually in FUTA is  $630 million .

In the question ,

it is given that ,

the amount that an employee earns in 1 year(E) = $7000

the tax rate (r) = 6%

number of employees in Walmart = 1.5 million = 1.5 × 10⁶

So , the amount of tax paid by Walmart in Federal Unemployment Tax Act(FUTA) can be calculated using the formula

Amount = r × n × E

Substituting the values of r , n , E in the amount formula ,

we get ,

Amount = 0.06 × 1.5 × 10⁶ × 7000

= 630,000,000

= 630 million .

Therefore , The amount of tax that Walmart pay annually in FUTA is  $630 million .

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As the temperature fell by 31 F, the temperature at 11 pm dropped to

-22 F.

Temperature tells us about the degree of hotness or coldness of a body. According to the thermodynamics, temperature is a measure of the average kinetic energy of the atoms or molecules in the system.

Given is at 3 pm the Temperature was 9F and by 11 pm it had dropped by 31 F.

Temperature at 3 pm = T[3] = 9 F

Since, the temperature fell by 31 F, the temperature at 11 pm would be =

Temperature at 3 pm T[3]  - 31 F = 9 - 31 = - 22 F.

Therefore, as the temperature fell by 31 F, the temperature at 11 pm dropped to -22 F.

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The mean is calculated by summing up all the values in the distribution and dividing it by the total number of values, while the median is the middle value when the data is arranged in ascending or descending order.

Another difference is that the mean is affected by outliers, meaning that extreme values can greatly influence its value. On the other hand, the median is not affected by outliers, as it only depends on the position of the middle value.

Therefore, to summarize, the mean is influenced by all values in the distribution and is affected by outliers, while the median is only influenced by the middle value and is not affected by outliers.

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Notice that between the tree (represented by a vertical segment), the ground (represented by a horizontal segment), and the rays of the sun (that go from the top of the tree to the ground), we are in the presence of a right angle triangle that has a short leg of size 15 yards (verticel segment), and a long leg of size 17 yards.

Then the angle of elevation is assicuated with the tangent function in that right angle triangle:

This is the quotient of the side opposite to the angle divided the side adjacent to the angle. Then we can solve for the angle by using the arctangent the following way:

arctan(15/17) (this is what you type in your calculator, but make sure your answer comes in DEGREES. (you need to set your calculator for that)

As I do it in my calculator, I get that the angle is: 41.42366 degrees

And since they want us to round it to the nearest tenth, we give:

angle of elevation = 41.4 degrees.

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean = \(n \times p\) = \(180 \times 0.42\) = 75.6

standard deviation = \(\sqrt{n \times p \times q}\) = \(\sqrt{180 \times 0.42 \times 0.58}\) = 6.622

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The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean =   75.6

standard deviation =  6.622

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The  statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.

From the  question, the spinner has:

8 sections, with:

So probability of one getting on any section is  = 1/8, or 0.125.

Therefore, the  probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.

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Let us find the saddle point in the given game. A game is said to be strictly determined if it has a saddle point. A saddle point is a point in a game where both players have a single best move, and the outcome of the game is known.

Here is the given matrix[\begin{array}{ccc}-2&0\\4&-4\end{array}\right]To find a saddle point, we must look for a row minimum and column maximum (or vice versa) where the value in that cell is the same. In this game, the row minimums are -2 and -4, and the column maximums are 4 and 0, respectively. Since there is a -2 in the upper left corner and a 4 in the lower right corner, this game has a saddle point.

Now we will find the optimal strategies for each player. Since the game is strictly determined, we will use the row minimum strategy for player A and the column maximum strategy for player B.Player A should choose row 2 with probability 1. This ensures that they receive at least -4. Player B should choose column 1 with probability 1. This ensures that they receive at most -2. The value of the game is -2. Therefore, the correct answer is:B. The game is strictly determined. Player A should choose row 2.

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The graph that represents \(f(x) = 3(2)^x\) is graph (d)

The function is given as:

\(f(x) = \frac 32(2)^x\)

The given function is an exponential function.

An exponential function is represented as:

\(f(x) = ab^x\)

Where a and b represent the initial value and the rate, respectively.

So, by comparison:

\(a = \frac32\)

\(b =2\)

This means that, the graph of \(f(x) = \frac 32(2)^x\) has an initial value of 3/2, and rate of 2

Hence, the graph that represents \(f(x) = 3(2)^x\) is (d)

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The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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Answer:

I think it's C.

Step-by-step explanation:

The Correct and Right Answer Is C

The number of revolutions small wheel took is 127 and the number of revolutions large wheel took is 19.

Given that, the distance travelled 600 feet.

We know that, 1 feet = 12 inches

From the given figure,

Radius of larger wheel of bicycle is 60 inches

60 inches = 60/12 = 5 feet

Radius of larger wheel of bicycle is 9 inches

9 inches = 9/12 = 0.75 feet

We know that, circumference of a circle is 2πr.

Circumference of small wheel = 2×3.14×0.75

= 4.71 feet

Number of revolution = 600/4.71

= 127.38

≈ 127

Circumference of large wheel = 2×3.14×5

= 31.4 feet

Number of revolution = 600/31.4

= 19.1

≈ 19

Therefore, the number of revolutions small wheel took is 127 and the number of revolutions large wheel took is 19.

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The number of moths in the collection is given as follows:E) 84.

The number of moths in the collection is obtained by applying the proportions in the context of the problem.

The total number of insects in the collection is given as follows:112 insects.

The fraction relative to moths in the collection is given as follows:3/4.

Hence the number of moths in the collection is given as follows:3/4 x 112 = 84.

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The question in English :

Luis's insect collection is

composed of 112 insects, and 3/4 of them

they are butterflies. How many butterflies are in the

collection?

(A) 28

(B) 37

(C) 64

(D) 75

(E) 84

Answer:

1,138 is the volume but I don't know how to find the surface area

Answer:

Ill be back let me solve it

Step-by-step explanation:

Answer:

Point (9, -6)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

y + 6 = 10(x - 9)

Step 2: Break Function

Identify Parts

Slope m = 10

Point (9, -6)