A card is drawn at random from a standard pack of playing cards. then a fair coin is flipped. what is the probability of selecting a 5 and the coin landing on heads?

Answer:

  [tex]\sqrt[5]{27}[/tex]

Step-by-step explanation:

27^(1/5) = [tex]\sqrt[5]{27}[/tex]

To find the x-intercept from an equation, you substitute 0 for the variable y

and solve for x

To find the y-intercept from an equation, you substitute 0 for the variable x

and solve for y.

The x-intercept is where a line crosses the x-axis.

In other words, the x-intercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.

The y-intercept is the point where the line crosses the y-axis.

In other words, the y-intercept is the value of the y coordinate of a point where the value of x coordinate is equal to zero.

Hence,

To find the x-intercept from an equation, you substitute 0 for the variable y

and solve for x

To find the y-intercept from an equation, you substitute 0 for the variable x

and solve for y.

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Answer:

Area of one face of pyramid equal 18.55

Step-by-step explanation:

Area of pyramid equal 18.55x4=74.2

The resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)

According to the question, we are to write the given statement as an expression

Let the unknown variable be p such that the sum of nine and p is 9 + p

Since "of" means multiplication, hence;

2/3 of the sum of nine and p will be expressed as;

2/3 of (9 + p)

2/3 * (9 + p)

2/3(9+p)

Hence the resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)

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The result of the given equation is 14.

This is an problem of simplification. And for simplification we need to understand the rule of BODMAS.

BODMAS means we have to first solve B for bracket, O for of, D for divide, M for multiplication, A for addition and S for subtraction.

The rule of BODMAS has to  be followed in order to solve any equation in simplification method.

Here the problem is;

  32+6(14-5×2)÷4

⇒32+6(14-10)÷4

⇒32+6(4)÷4

⇒32+24÷4

⇒56÷4

⇒14

So, the solution of the given equation gives 14 as the answer.

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Answer:

x = 1  and x = -3

Step-by-step explanation:

if y = f(x) and f(x) = -5, this means y = -5

draw a horizontal line at y = -5 and see write the x values for where the line intersects with the graph.

The x values are:

x = 1  and x = -3

Answer:

x<-4

Step-by-step explanation:

You just subtract the 1 from both sides and the sign stays the same UNLESS you are dividing by a negative number, then it will change. Good luck on your hw :)

Answer:5 higher and 1 horizontal

Step-by-step explanation:

Answer:nk it is the letter A

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

The probability that the length of time will be between 50 and 70 hour is  0.4082.

Height is a simple instance of an event that describes a normal distribution: most people are of medium height, the proportions of people who are taller and shorter than average are roughly equal, and a very small (but still roughly equivalent) proportion of people either are extremely tall or extremely short.

Now, as per the given question;

Let t be the variable representing the length of time (t = 50)

As a result, the mean of the battery is 50 and the standard deviation is 15.

Thus, μ = 50 (mean) σ = 15 (standard deviation)

Now, we must calculate the probability that t is between 50 & 70.

Thus, the probability  P (50 < t < 70)

The z-value will be calculated as;

Z = (t – μ) / σ

Substitute the values,

Z = 50 – 50 / 15

Z = 0

Now, for the time; t = 70

Z = 70 – 50 / 15

Z = 1.33

Thus, the probability is;

P(50 < t < 70) = P(0 < z < 1.33)

So, the area to left of Z

= 1.33 – area to the left of z = 0

= 0.9082 – 0.5

P(50 < t < 70) = 0.4082

Therefore, the probability that the length of time will be between 50 and 70 hours is 0.4082.

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The graph that depicts the graphical representation of the function F(x) is attached below

This is further explained below.

Generally, The collection of ordered pairings where "f(x)=y" exists is the network of a function f.

These pairs are Centroid of locations in two-dimensional space and so constitute a subset of this plane in the typical situation when x and f(x) are real integers.

In conclusion, is a collection of discrete or continuous points that together form a curve or surface and each of which corresponds to a certain function's value. also known as a linear graph.

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The approximate number of downloads at a price of $0.54 per song is 1910.5

As the problem given we have The table shows the price per song and the number of songs downloaded per day at that Price per Song.

Price per song                                        number of songs

                                                                downloaded per day at that price

$0.89                                                         1,212

$0.79                                                          1704

$0.69                                                          1760

$0.59                                                          1877

$0.49                                                          1944

$0.39                                                          2011  

The formula for the linear interpolation process y = y1 + ((x – x1) / (x2 – x1)) * (y2 – y1), where x is the known value, y is the unknown value. x1 and y1 are the coordinates that are below the known x value, and x2 and y2 are the coordinates that are above the x value.

here x1= 0.49  y1= 1944    x2= 0.59   y2=1877 x=0.54

y=1944+((0.54-0.49)/(0.59-0.49))*(1877-1944)

y=1944-33.5=1910.5

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The completion of the table by rounding the numbers to the nearest 10, 100, 1,000, 10,000, 100,000, and 1,000,000 is as follows:

Rounded to      Numbers

the nearest       3,147,283     68,547        1,656,908         900,571​

10                      3,147,280     68,550         1,656,910        900,570

100                   3,147,300     68,500        1,656,900        900,600

1,000               3,147,000     69,000        1,657,000         901,000

10,000            3,150,000     70,000        1,660,000        900,000

100,000         3,100,000    100,000        1,700,000        900,000

1,000,000     3,000,000   0.068547     2,000,000     1,000,000

Rounding a number involves, making it simple and very close to its true value, sometimes, using zeros or scientific notations.

Rounding a number is also known as an approximation, which is an estimate before the actual calculation is carried out.

Rounded to      Numbers

the nearest       3,147,283     68,547       1,656,908        900,571​

10                      3,147,280     68,550        1,656,910        900,570

100                   3,147,300     68,500       1,656,900        900,600

1,000               3,147,000     69,000       1,657,000         901,000

10,000            3,150,000     70,000       1,660,000        900,000

100,000         3,100,000    100,000       1,700,000        900,000

1,000,000     3,000,000   0.068547    2,000,000      1,000,000

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Answer:

your answer is 54%

If you can't answer this question

Answer: f(-2)=3

Step-by-step explanation:

f(-2)=(-2-1)^2+3(-2)

=9-6

=3

This is the only true statement out of the questions.

So the answer would be -2.

The break even point obtained for the Sean's business is (60/7, 5100/7).

Part of the question is missing where x denotes a number of games and y denotes the monetary value.

y = 50x + 300

y = 85x

Estimate Sean's business's break-even point.

Calculate the same break even point by following method;

The functions are as follows:

The functions are given as:

Cost: y = 50x + 300   ......equation 1

Revenue: y = 85x       .......equation 2

For the value at break even point;

Cost = Revenue

Thus, equating 1 and 2.

85x = 50x + 300

simplifying;

35x = 300

Dividing both sides by 35

x = 60/7

Put x = 60/7 in equation 2

y = 85 × 60/7

y = 5100/7

Therefore, the break even point are obtained as (60/7, 5100/7).

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The complete question is-

Sean decides to start a small business creating and selling outdoor yard games. It will cost Sean $50 to make each game as well as an initial cost

of $300 to purchase the needed equipment and supplies. He plans to sell each game for $85,

The system of equations below models the cost and revenue for Sean's outdoor yard games where x represents the number of games and y represents the amount, in dollars.

y = 50x + 300

y = 85

10 percent to 19 percent of daily value must a snack meet in order for the FDA to consider it a ""good source"" of nutrients.

The Food Manufacturer or Distributor is responsible for ensuring their food product labeling complies with FDA regulations. FDA will not review or approve food labels. If the labels do not comply with FDA requirements, the FDA will consider the product as misbranded and may take regulatory action, including detention.

LMG's Label review service will help you confirm your product labels comply with FDA requirements. We have designed three types of label review services; you can choose the best service which fits your products.

( Food Label Compliance : FDA , Food and Drug administration)

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The 12.04< [tex]6.54 * 10^2[/tex] number sentences are true.

Option (A) is correct.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given number is

12.02 and [tex]6.54*10^2[/tex]

We have to choose the sentences are true.

According to given question we have

The greater-than sign is a mathematical symbol that denotes an inequality between two values.

6.54 x 10^2

When we can multiply the value of 6.54*100 we get

654

The number is greater than 12.02

i.e  654>12.04

It is written as

12.04< [tex]6.54 * 10^2[/tex]

Therefore, the 12.04< [tex]6.54 * 10^2[/tex] number sentences are true.

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Answer:

4.64x10^6

Step-by-step explanation:

The measure of angle RQT is 63°

From the question, we are to determine the measure of angle RQT.

From the diagram,

We can observe that ∠PQS and ∠SQT form a linear pair

Thus,

∠PQS + ∠SQT = 180°

(4x + 15)° + (10x - 3)° = 180°

First, determine the value of x

4x + 15 + 10x - 3 = 180

4x + 10x = 180 - 15 + 3

14x = 168

x = 168/14

x = 12

In the diagram,

∠RQT and ∠PQS are vertically opposite

From the given information,

∠PQS = (4x + 15)°

∴ ∠RQT = (4x + 15)°

Substitute the value of x

∠RQT = (4(12) + 15)°

∠RQT = (48 + 15)°

∠RQT = 63°

Hence, the measure of angle RQT is 63°

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Answer: 54,000,000

Step-by-step explanation: hope this helps

She will earn $924 if she works 38.5 hours this week

The function is given as

w(h) = 24h, if h < 40

w(h) = (36(h-40)+960 h> 40

If she works 38.5 hours this week, then

h < 40

So, we use

w(h) = 24h

This gives

w(38.5) = 24 * 38.5

Evaluate

w(38.5) = 924

Hence, she will earn $924 if she works 38.5 hours this week

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The transformed function is:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

Here we have the function:

f(x) = x² + x

Now we want to apply a translation of 4 units to the left, followed by a horizontal shrink by a factor of 1/3.

First, the translation is written as:

g(x) = f(x + 4)

Now the shink will give:

g(x) = f( 3*(x + 4))

Replacing the actual function we will get:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

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Answer:

Step-by-step explanation:

A(2,6); B(10,8)

whats the midpoint of the segment?