Make up a word problem that the following equation couldrepresent:5x + 9 = 44

Answer:

The estimate for the amount of tails is 146.

Step-by-step explanation:

For each throw, there are only two possible outcomes. Either it is a head, or it is tails. Throws are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

The probability of a head is 0.27.

This means that the probability of tails is \(p = 1 - 0.27 = 0.73\)

The coin is thrown 200 times.

This means that \(n = 200\)

Write an estimate for the amount of tails

This is the expected value, so:

\(E(X) = np = 200*0.73 = 146\)

The estimate for the amount of tails is 146.

Answer:

B.

Step-by-step explanation:

I'm not sure how to answer the 2. question

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

Answer:

Volume = 13,364 cm³

Step-by-step explanation:

Volume of the figure = volume of trapezoid prism

Volume of trapezoid prism = area of trapezoid base × length of the prism

= ½(a +b)h × l

Where,

a = 15 cm

b = 37 cm

h = 25.7 cm

l = 20 cm

Substitute

Volume = ½(15 + 37)25.7 × 20

Volume = 13,364 cm³

Answer:

a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)

Step-by-step explanation:

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

If m is parallel to n then value of x and y is X = 41° and Y = 41°.

An angle is formed when two straight lines or rays meet at a common endpoint.

Given that line m and n are parallel lines.

Parallel lines are those straight lines that are always the same distance apart from each other.

As y is vertically opposite to the angle 41° . So the value of y is also 41°  and angle x is equal to angle y because they are alternate angles. So the value of y is also  41°.

Therefore X = 41° and Y = 41°.

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Answer:

C)  I, III, IV, II

Step-by-step explanation:

Convert each number into a decimal:

\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)

\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)

\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)

\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)

Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.

The next biggest tenth is 5, so 58% is the next largest number.

The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number.  Therefore, 0.58% is the smallest number.

Therefore, the given set of numbers in order from greatest to least is:

Answer:

c) I, III, IV, II

Step-by-step explanation:

Values of l, ll, lll & lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Hence, the option (c) is correct.

Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

Answer:

9

Step-by-step explanation:

Hence, 440 cupcakes were sold on that day.

The bakery sold a total of 400 cupcakes that day, with 224 of them being chocolate cupcakes, representing 56 precent of the total.

Use the concept of percentage defined as:

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred.

Given that,

A bakery sold 224 chocolate cupcakes in a day.

The 224 chocolate cupcakes represent 56% of the total number of cupcakes sold that day.

To find the total number of cupcakes sold,

Use the percentage given and some simple math.

If 56% of the cupcakes sold were chocolate cupcakes and that amounts to 224 cupcakes,

Set up the following equation:

0.56 x Total number of cupcakes = 224 cupcakes

To find the total number of cupcakes,

Divide both sides of the equation by 0.56:

Total number of cupcakes = 224 cupcakes / 0.56

Calculating this,

The bakery sold a total of 400 cupcakes that day.

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Answer:

Length= 30 ft

Width= 18ft

Step-by-step explanation:

The perimeter of the rectangular patio is to be 96 feet.

the length is to be 6 feet less than twice the width

Perimeter=2(length+width)

But

Length= 2(width)-6

Substituting in perimeter equation

Perimeter=2(length+width)

Perimeter=2((2(width)-6)+width)

Perimeter= 96 feet

Let width= x

Perimeter=2((2(width)-6)+width

96=2((2(x)-6)+x)

96= 4x-12+2x

108= 6x

18= x

Width= 18ft

Length= 2(width)-6

Length= 2(18)-6

Length= 36-6

Length= 30 ft

Answer:

P = 6200 / (1 + 5.2e^(0.0013t))

increases the fastest

Step-by-step explanation:

dP/dt = 0.0013 P (1 − P/6200)

Separate the variables.

dP / [P (1 − P/6200)] = 0.0013 dt

Multiply the left side by 6200 / 6200.

6200 dP / [P (6200 − P)] = 0.0013 dt

Factor P from the denominator.

6200 dP / [P² (6200/P − 1)] = 0.0013 dt

(6200/P²) dP / (6200/P − 1) = 0.0013 dt

Integrate.

ln│6200/P − 1│= 0.0013t + C

Solve for P.

6200/P − 1 = Ce^(0.0013t)

6200/P = 1 + Ce^(0.0013t)

P = 6200 / (1 + Ce^(0.0013t))

At t = 0, P = 1000.

1000 = 6200 / (1 + C)

1 + C = 6.2

C = 5.2

P = 6200 / (1 + 5.2e^(0.0013t))

You need to change the exponent from negative to positive.

The inflection points are where the population increases the fastest.

Answer:  6 * 24 = 144 ways.

Step-by-step explanation:

Solution:

Given word => DANGER.

The condition is that vowels can't occupy odd places so, we will let them occupy even places.

A total number of arrangements will be = 6 * 24 = 144 ways.

Answer: 6x24 = 144 ways.

Answer:

24x

Step-by-step explanation:

True, that {~v1, ~v2, ~v3, ~v4}is also a linearly dependent set.

What is a linearly independent set?

A collection of vectors is said to be linearly independent in vector space theory if no nontrivial linear combination of the vectors equals the zero vector. The vectors are considered to be linearly dependent if such a linear combination occurs.

(i.e., all coefficients = 0). A single element set {v} is linearly independent if and only if v ≠ 0.

Now,

As given that

x1v1 + x2v2 + x3v3 = 0 with x1, x2, x3 not all zero, then x1v1 + x2v2 + x3v3 + 0 v4 = 0 and still the coefficients are not ALL zero.

Hence,

        It is True that {~v1, ~v2, ~v3, ~v4}is also a linearly dependent set.

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The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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Probability of student choosing a book at random(without returning them) until they find a book of the latest edition.S = {23, 24, 25, 345, 3545, 34545, ...}, A = {23, 32, 24, 42, 25, 52} ,  B = {24, 245, 2545, 24545, ...},  C = {345, 354, 3545, 3455, 34545}.

a) The sample space of this experiment can be described as follows: S = {23, 24, 25, 345, 3545, 34545, ...} where each element of the sample space represents a possible sequence of books that the student examines before finding a book of the latest edition. For example, the outcome 23 means that the student first examines book 1, then book 2, and finally book 3, before finding a book of the latest edition.

b) The event A can be described mathematically as follows  A = {23, 32, 24, 42, 25, 52} This event includes all possible outcomes where exactly one book is examined before finding a book of the latest edition.

c) The event B can be described mathematically as follows: B = {24, 245, 2545, 24545, ...} This event includes all possible outcomes where book 4 is the first book that the student examines before finding a book of the latest edition.

d) The event C can be described mathematically as follows: C = {345, 354, 3545, 3455, 34545} This event includes all possible outcomes where all books except one are examined before finding a book of the latest edition.

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Answer:

12 t-shirts

Step-by-step explanation:

12 x 75% = 9 = 9 t-shirts

Answer:

400 litres

Step-by-step explanation:

Step-by-step explanation:

\( \frac{3}{4} = \frac{w}{28}\)

\( \frac{3}{4} = \frac{w}{4 \times 7} \)

\(3 = \frac{w}{7} \)

\(w = 21\)

Answer:

120 ft³

Step-by-step explanation:

\(V=\frac{1}{3}\left(\frac{1}{2}(6)(8) \right)(15)=120\)

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

In using quarterly time series data, Quarter two  can serve as the base period for interpretation of dummy variables.

What do you mean by interpretation?

The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.

                           Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.

What are examples and variables?

A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.

                                 The two primary categories of variables are categorical and numeric.

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Answer:

65

Step-by-step explanation:

So we have the expression:

\(m+2(m-5)\)

And we want to evaluate it for m=25.

So, substitute 25 for m:

\(=(25)+2((25)-5)\)

Subtract:

\(=25+2(20)\)

Multiply:

\(=25+40\)

Add:

\(=65\)

So, our answer is 65.

And we're done!

Answer:

c

Step-by-step explanation:

Loretta Adman needs to find the center of the triangle  formed by the three roads.

What is Center, Incenter and Circumcenter of the triangle?

Incenter I, whose point is equidistant from the triangle's sides, and circumcenter O, whose point is equidistant from each of the triangle's vertices. A triangle center is a point in the plane that resembles the centers of squares and circles in some ways, meaning that it is roughly in the centers of the figure.

Given:  Three towns are linked by three straight roads.

Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads.

The center is in the middle of the figure by some measure.

Therefore, Loretta Adman needs to find the center of the triangle  formed by the three roads.

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Answer:

6

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

1 yard = 3 feet

2 yards = 3(2)

=6 feet

Answer:

7/8X-8=216      

x=256

7/8x-8=216

     +8  +8

7/8x=224

7/8    7/8

x=256

Step-by-step explanation: