Solve the equation.
3/4x+3-2x=-1/4+1/2x+5

The probability that a red card is drawn at least once by the third draw is 0.88.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.

In a standard 52 card deck the red cards are 26.

So,

P(red) =  n(red cards) / n(total cards)

          = 26 / 52

P(red) = 0.50

Now, X ≈ Bin (n = 3, P = 0.50)

P(X = x) = (n  x) p^x (1 - p)^n-x

(n  x) = \(\frac{n!}{x!(n-x)!}\)

P(X ≥ 1) = 1 - P(X < 1)

            = 1 - P(X = 0)

            = 1- (3  0)(0.5)^0(0.5)^3

            = 1 - 0.125

             = 0.875

P(X ≥ 1)  = 0.88

Hence, the probability that a red card is drawn at least once by the third draw is 0.88.

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Answer:

w = 33.94 ft

Step-by-step explanation:the roof takes the shape of a right angle. The top of the roof is a right angle. To find the width of the house, which is the hypotenuse of the triangular roof, we would apply pythagorean theorem.

Thus:

\( w^2 = 24^2 + 24^2 \)

\( w^2 = 1,152 \)

Square both sides

\( \sqrt{w^2} = \sqrt{1,152} \)

\( w = 33.94 \) (to 2 decimal places)

The width of the house = 33.94 ft

The width of the house as shown is 33.94 feet.

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given by:

The square of the hypotenuse (longest side) = sum of the square of the two other legs

From the diagram:

w² = 24² + 24²

Hence:

w = 33.94 ft.

The width of the house as shown is 33.94 feet.

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Answer:

d= -3

Step-by-step explanation:

Rearrange variables to the left side of the equation: -4.3x 10d= -0.0043

Divide both sides of the equation by the coefficient of variable

Reduce the fraction

Convert fraction into negative exponential form

Convert both sides of the equation into terms with the same with same base

Simplify using exponent power rule

Based on the given conditions, corresponding exponents are equal

Answer:

a

Step-by-step explanation:

When the overdraft occurred, the balance was -48.31.

Major Takeaways. When your account balance drops below zero, you have an overdraft. If you have overdraft protection, your bank may permit a negative balance on your account or may provide one-time exceptions, but they may charge you for each transaction. Bank clients are required by federal regulations to choose to participate in overdraft protection schemes.

Let x represent the balance at the time the account entered overdraft.

He consistently made deposits totaling $30.84 a week in order to return to a positive balance.

Amount deposited per week = $30.84

Amount deposited 3 weeks =  30.84 × 3 = 92.52

Now amount in account after 3 weeks =x+ 92.52

We are given that After 3 weeks, he had $44.21 in the account.

So,x+92.52=44.21

x=44.21-92.52

x=-48.31

Hence The balance when the account went into overdraft was -48.31

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The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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By sing the following conversions between metric and US systems 26.794 yard = 0.024500 .

What is the value of 1meter in terms of centimeter ?

1 meter can be equal to 100 centimeters and suppose for x meters , then it could be around 100x centimeters .

Given,

1 meter= 3.28 feet

1 Liter= 0.26 gallons

1 kilogram = 2.20 pounds

we know that ,

1yard = 0.0009144 km

so ,

26.794 yard = 26.794*0.0009144 km

= 0.024500

Hence by sing the following conversions between metric and US systems 26.794 yard = 0.024500 .

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Answer:

that is easy false hope u get it to By 7:10

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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Answer:

cos(x)

Step-by-step explanation:

\(Remember: sin(x) = \frac{1}{csc(x)}\)

\(\frac{cos(x)}{sin(x) *csc(x)}\)    OG Question

\(\frac{cos(x)}{\frac{1}{csc(x)} *\frac{csc(x)}{1} }\)  Convert \(sin(x) = \frac{1}{csc(x)}\)

\(\frac{cos(x)}{1 }\)  Cross multiply and cancel out. Equals to one.

\(cos(x)\) Anything divided by 1 is itself. You have your answer.

Hope this makes sense. Lmk if you need more help.

Answer:

y + 3 = 0

Step-by-step explanation:

Since, line is intersecting y axis at y = - 3

So y + 3 = 0 is the required equation of the line.

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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Answer:

Arayanna needs 10 batches of brownies to feed 37 people.

Step-by-step explanation:

Answer:

so basically you divide 37 by four because there are 37 people and a pack of brownies makes 4

Step-by-step explanation:

s0 you would need 10 batches because if you make nine 9 times 4 is only 36 so there is 37 people who would like a brownie

Answer: the second one

Answer:

B

Step-by-step explanation:

because it's the only one that passes the vertical line test.

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

Step-by-step explanation:

Additive inverse ⇒ sum of numbers is zero:

Multiplicative inverse ⇒ product of numbers is 1:

Step-by-step explanation:

the additive inverse and multiplicative inverse for the following number -3/4=-4/3

Answer:

11 degrees

Step-by-step explanation:

13-2=11.

Answer:

55

Step-by-step explanation:

Answer:

55 cubic units

Step-by-step explanation:

you subtract 60 and the amount of cubes there are (5)

60-5=55

The formula for the volume of a cone is given by the following equation:

V = 1/3 * π * r2 * h

where V is the volume of the cone, r is the radius of the cone, and h is the height of the cone.

In this case, we are given that the radius of the cone is 2.5 units and the volume of the cone is 19 cubic units. We can use this information to complete the expression that represents the height of the cone as follows:

V = 1/3 * π * r2 * h

19 cubic units = 1/3 * π * 2.5 units2 * h

19 cubic units = 1/3 * π * 6.25 units2 * h

19 cubic units = 1/3 * 19.63 units2 * h

19 cubic units = 6.54 units2 * h

h = 19 cubic units / 6.54 units2

h = 2.9 cubic units / 6.54 units

Therefore, the expression that represents the height of the cone is 2.9 cubic units / 6.54 units.

Answer

False.

Explanation

The radical is usually a square root and it is clear that the square root of

Answer:

-4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

if x is an integer number, we have 2,305 solutions.

Step-by-step explanation:

We want to write an inequality such that the numbers:

3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get:

{-4, 0, 3, 2,300}

Then we can write an inequality like:

-4 ≤ x ≤ 2,300

You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.

Now, how many solutions does this inequality has?

if x is a real number, then we have infinite solutions.

if x is an integer, then the total number of solutions will be equal to:

number of negative solutions (4)

number of positive solutions (2,300)

the number zero (1)

Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.

Then the inequality solution will be -4 ≤ x ≤ 2,300. If x is a real number, we have infinite solutions. if x is an integer number, we have 2,305 solutions.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A.  Write an inequality for which 3, -4, 0, and 2,300 are solutions that will be

If we order these numbers from smallest to largest, we get:

{-4, 0, 3, 2,300}

Then we can write an inequality like:

-4 ≤ x ≤ 2,300

You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.

B.  The number of the solution to the inequality will be

We have limitless solutions if x is a real number.

If x is an integer, the set of possible solutions will be

The number of negative solutions (4)

The number of positive solutions (2,300)

The number zero (1)

Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.

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Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

Answer:

12.1%

Step-by-step explanation:

2 pounds 6 ounces in ounces is equivalent to 38 ounces.

The given measurement is -

2 pounds 6 ounces

In 1 pound, there are 16 ounces.

So, we can write that -

2 pounds 6 ounces = 2 x 16 + 6

2 pounds 6 ounces = 38 ounces

So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.

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Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

The joint frequencies are the cells where the categories for two variables in a two-way frequency table intersect, while the marginal frequencies are the sums of the row or column in a two-way frequency table.

Joint frequencies represent the frequency counts of each combination of categories for two variables, while marginal frequencies represent the frequency counts of each category for one variable, regardless of the other variable.

For example, in a two-way frequency table of gender and political affiliation, the joint frequency for "Male" and "Republican" would represent the number of individuals who are both male and Republican.

The marginal frequency for "Male" would represent the total number of males in the sample, regardless of their political affiliation. The marginal frequency for "Republican" would represent the total number of individuals who identify as Republican, regardless of their gender.

Understanding the difference between joint and marginal frequencies is important for analyzing the relationship between two variables and identifying any patterns or trends.

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Answer:

Isolate for each variable by subbing in  

0

for the other. In this case, we get  

(

−

10

3

,

0

)

as the  

x

-intercept, and  

(

0

,

2

)

as the  

y

-intercept.

Step-by-step explanation:

Answer:

Y = 60

Hope This Helped!