M
Given the diagram below, solve for x.
X%
87° 87°
Xº
87
N
Acute Geometry Class, 2021

The sample space of the three children that the couple will have will be:

S = (BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG)

From the information given, the couple plans to have three children. there are eight possible arrangements of girls and boys.

Therefore, the sample space of the three children will be:

N(S) = 2³

= 2 × 2 × 2

= 8

The eight arrangements are illustrated above.

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Solve R:

Multiply both sides of the equation by V:

Divide both sides of the equation by nT:

Then, R is:

Use the given units in the equation above:

Answer:

2/3

Step-by-step explanation:

If 1/3 rd of the fence can be built in 1/2 hr then in 1 hour which is 1/2 x 2 the fraction of the fence that can be built is 1/3 x 2 = 2/3

Answer:

Step-by-step explanation:

Yes

The slope and intercept of the line are -2 and 0. The equation of the line is y = -2x

To find the equation of line, we have to find the slope of the equation and its y-intercept.

The slope of a line can be calculated as

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{-4 - (-4)}{6 - 2}\\m = \frac{-8}{4} \\m = -2[/tex]

The slope of the line is equal to -2.

Lets find the intercept of the line;

The line of an equation is given as

[tex]y = mx + c[/tex]

We can pick point A and substitute its values to find c

[tex]y = mx + c\\- 4 = -2(2) + c\\-4 = -4 + c\\c = -4 + 4\\c = 0[/tex]

The equation of the line is y = -2x

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Answer:

You need more context.

Step-by-step explanation:

What percentage are we solving for?

Answer: Jake spent 62.5% of the money on movie tickets.

Step-by-step explanation: He spent 6 x 4 = $24 on movie tickets.

He spent 7 x 2.25 = 15.75 on drinks

However, it is asking for the amount of money he spent on MOVIE TICKETS. So then it would be 25/40 or 5/8.

The maximum volume of the box is 54 cm³ .

To obtain the largest volume feasible, multiply each measurement by the largest possible error. To find the least volume that may be created, multiply after subtracting the biggest possible error from each measurement.

Given :

a box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm

cutting out squares of length x by x from each corner and bending up the sides

⇒ (50-2x)(10-2x)(x)

⇒ 500-100x-20x+4x^2) (x)

⇒ 4x^3-120x^2+500x

⇒ dv/dx     12x^2-240x+500=0

⇒ 3x^2-60x+125=0

⇒ Quadratic formula x=[60 ± √2100]/6

⇒ x= 2.36 or 17.64

volume max: 45.28 x 5.28 x 2.36= 564 cm^3

Hence The maximum volume of the box is 54 cm³

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Answer: 1/121

Step-by-step explanation:

Any number raised to the power of 0 is 1

11^2 = 121

Answer:

Answer down below!

Step-by-step explanation:

Your answer would be 1 11/40

For the steps, refer to the image below!

When a study uses random sampling, each member of a population has an equal chance of being selected.

Cluster sampling occurs when researchers randomly sample subsets of the population and then use all individuals within the subsets.

Oversampling is often used to select participants to represent, in an unbiased way, subsets of the population that are not large enough to be accurately measured.

All all three of these techniques are representative sampling techniques.

It should be noted that sampling simply means the selection of subjects from the entire population.

In a random sampling, everyone has equal opportunity of being picked.

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Answer:

i'm not sure i looked it up but from it says you you can find the quotient by using the opposite of division which is multiplying again I'm not sure i might be wrong but please let me know if its right

Step-by-step explanation:

All the values with exactly three significant digits are: 0.0807, 1990

Significant digits of a number tell us what the actual meaningful representation of a number is. There are certain rules to figure out which digits in a number are significant such as

Thus the numbers with 3 significant digits are: 0.0807, 1990

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Two or more expressions with an equal sign is called as Equation. We solve the problem by forming equations, After solving equations we came to know that 123 hotdogs were sold in the concession stand.

Two or more expressions with an equal sign is called as Equation.

Given that,

A concession stand sells drinks and hotdogs.

The number of drinks sold is 5 more than 4 times the number of hotdogs sold.

The stand sold 500 items.

Let the number of hotdogs=x

The number of drinks sold is 5 more than 4 times the number of hotdogs sold.

The number of drinks=5+4x

stand sold 500 items.

Let us formulate a equation by given data

5+4x=500

Let us separate the variable x on one side.

Subtract 5 on both sides

5+4x-5=500-5

4x=500-5

4x=495

Divide both sides by 4

x=123.25

Hence 123 hotdogs were sold in the concession stand.

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Answer:

  1,225,043

Step-by-step explanation:

You want the ratio of volumes of spheres 428 inches and 4 inches in diameter.

The volume of a sphere in terms of its diameter is ...

  V = (π/6)d³

The ratio of the volumes of the larger to smaller sphere is ...

  [tex]\dfrac{V_{large}}{V_{small}}=\dfrac{\pi/6\cdot428^3}{\pi/6\cdot4^3}=\left(\dfrac{428}{4}\right)^3=107^3=\boxed{1,\!225,\!043}[/tex]

The ratio of volumes is 1,225,043.

The ratio of the volume of the large sphere to the volume of the small sphere is 1225043:1

The following is the formula for finding the volume of a sphere:

V = [tex]\frac{4}{3} \pi r^3[/tex]

Now, the normal assumption is that we must use the formula to calculate the volume of both spheres in order to compare. However, observe that in comparing the volume of two different spheres, the only difference between them is the radius, thus we can compare the two spheres directly in this way:

[tex]\frac{(radius of sphere B)^3 }{(radius of sphere A)^3}[/tex]

So,

[tex](\frac{428}{4})^3[/tex]

[tex]107^3[/tex]:1

12,25,043:1.

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Answer:

2.1875

(in nearest hundredths it would be 2.19(rounded)

The total cost of the skateboard after being discounted by 12% and then sales tax of 6.75% is$74.22.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given,

Usually, the price of the skateboard = $79.01

The 12% of 79.01 ⇒ (12/100)79.01 = $9.4812

The price after a 12% discount

79.01 - 9.4812 = $69.5288

The 6.75% of 69.5288 ⇒(6.75/100)69.5288 = $4.693194

The total price after applying the 6.75% tax,

$69.5288 + $4.693194 = $74.22

Hence "The total cost of the skateboard after being discounted by 12% and then sales tax of 6.75% is$74.22".

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Answer:

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

Answer:

[-10, - 2]

Step-by-step explanation:

1

Solve the inequality: ly+ 61 - 4 <0

-10 ≤ and ≤-2

2 Express solution set in interval notation:

[-10, -2]

-

nbjhjkghjvhjvhjvhvjvhhklbjklbjblk

The answer to the given notation is 1970

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.

This is already an standard notation : 1.97 × 10³

10 raised to the power three means there are three zeroes.

thus if we were to solve this question it will be

1.97 × 1000

which is equal to 1970.00

= 1970 .

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Answer: 26 inches

Step-by-step explanation:

An isosceles triangle has two congruent legs.

1) Set up the equations

P = b + 2L

b = 2L-6

2) Substitute for variables

46 = (2L - 6) + 2L

3) Solve the equation

46 = 4L - 6

52 = 4L

13 = L

4) Solve the problem

It asks for what is the sum of the two congruent legs

13 + 13 = Ans

26 = Ans

Answer: 6

Step-by-step explanation:

[tex]y=4(1)+2=6[/tex]

Answer:

⇔[tex]a^{3}[/tex]

Step-by-step explanation:

Law of Indices

Division law:  [tex]\frac{a^{5} }{a^{2} }[/tex] =[tex]a^{5-2} =a^{3}[/tex]

The formula of mean deviation = [Σ |X – µ|]/N

What is mean deviation?

Mean deviation defined as a statistical measure that is used to calculate the average deviation from the mean value of the given data set.

The formula of mean deviation is  [Σ |X – µ|]/N

Here,

Σ represents the addition of values

X represents each value in the data set

µ represents the mean of the data set

N represents the number of data values.

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The simplified expression is -125.

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The arrival rate is found to be 30 emails per hour and the service rate is calculated to be 45 emails per hour.

It has been mentioned in the question that in every 2 minutes, customers send emails to a help desk of an online retailer, on an average, and the standard deviation of the inter-arrival time is also given to be 2 minutes. The online retailer has three employees for answering those emails.

It takes almost 4 minutes to write a response email to the customer, on average. The standard deviation (SD) of the service times is 2 minutes. This is a g/g/k type queue.

Therefore the arrival rate per hour is given by the following relation:

Arrival rate in 1 hr = No. of minutes in an hr / inter arrival time of email taken in minutes

Given here,

No. of minutes in an hour = 60 minutes

Inter arrival time of the email taken in minutes = 2 minutes

∴ Arrival rate in 1 hr = 60 / 2

                                = 30 emails / hr

Hence the arrival rate is 30 emails per hour.

Now for finding out the service rate we have the following formula:

Service rate = No. of minutes in an hr x No. of employes answering/ average time that is required to write response email

Given here,

No. of minutes in an hr = 60 minutes

No. of employes answering = 3

Average time that for writing response email = 2 minutes

∴ Service rate = 60 * 3 / 4

                       = 45 emails / hr

Hence the service rate is 45 emails per hour.

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The domain of the function in this situation as required in the task content is; Choice H; 0 ≤ x ≤ 5.

It follows from the task content that the domain of the function described by the situation is to be determined.

Since the domain is the set of all possible input values, otherwise termed the independent variable, x.

It follows that since one runner runs for at most t hours; the domain is; Choice H ; 0 ≤ x ≤ 5.

Please Note: The set of all possible output values of a function, otherwise termed the dependent variable, y is called the Range.

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