Section 6.2 Homework Score: 0.25 of 1 pt % 6.2.5 2 of 15 (2 complete) Solve the right triangle P-01 (Simplify your answers.) n= 34 (Round to the nearest tenth as needed) p= (Round to the nearest tenth as needed.)

Answer:

the third graph

Step-by-step explanation:

1. increase - then you know the line has to go upwards.  so only first &3rd lines are potentially correct answer

2. look at the Y axis markings, first one goes from 5 to 11, it increased by 6.  so it's not right.

answer is the 3rd one.

7 or more games

2x = 20+

so if he had 7 games, mark would have double (14 games)z 14+7=21. that's more that 20 games.

*Aggressively drops microphone*

Answer:

A.

Step-by-step explanation:

A way to find the equation of the graph is to find the solutions.

On the graph, the solutions are where the function intersects the x-axis. That would be where x = -2, x = 1, and x = 3.

In the equations, you will need to find factors when the x is inputted, the factor equals 0. For example, one of the factors is (x + 2). This is because x + 2 = 0, so x = 0 - 2, so x = -2. So, the three factors are (x + 2), (x - 1), and (x - 3).

The correct equation is A.

Hope this helps!

Answer:

Step-by-step explanation:

From the options presented, driver B has the fastest typical race time because he recorded the smallest time taken to complete an individual race.

Also from the standard deviation given (3.96) for driver B, it shows that the individual time spread from the standard deviation is minimal and that the driver maintained a fairly consistent time of race throughout the racing period.

The purpose of a variable is to hold and represent a value Option C.

The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.

Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.

Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.

Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.

While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.

Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.

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Answer:

92

Step-by-step explanation:

\(8+x=100\\\\x=92\)

Answer: B. 92

Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92

Answer: A

Step-by-step explanation:

Answer: 29,481 feet

Step-by-step explanation:

Kangchenjunga= 28,169 feet above sea level

Dead Sea= 1,312 feet below sea level

Difference= ?

28,169+1,312= 29,481

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

9 qt is approximately equal to 8.5 L

1 qt = 0.946 L (this is the conversion factor)

To convert 9 qt to L, multiply 9 by 0.946: 9 x 0.946 = 8.514

Rounded to the nearest tenth, 9 qt is approximately equal to 8.5 L

1 in = 2.54 cm (this is the conversion factor)

To convert 2 in to cm, multiply 2 by 2.54: 2 x  2.54 = 5.08

Rounded to the nearest tenth, 2 in is approximately equal to 5.1 cm

1 gal = 3.785 L (this is the conversion factor)

To convert 2 gal to L, multiply 2 by 3.785: 2 * 3.785 = 7.57

Rounded to the nearest tenth, 2 gal is approximately equal to 7.6 L

1 km = 0.621371 mi (this is the conversion factor)

To convert 5 km to mi, multiply 5 by 0.621371: 5 x 0.621371 = 3.106855

Rounded to the nearest tenth, 5 km is approximately equal to 3.1 mi

1 L = 1.05669 qt (this is the conversion factor)

To convert 10 L to qt, multiply 10 by 1.05669: 10 x 1.05669 = 10.5669

Rounded to the nearest tenth, 10 L is approximately equal to 10.6 qt

1 t = 1.10231 T (this is the conversion factor)

To convert 5.5 t to T, multiply 5.5 by 1.10231: 5.5 x 1.10231 = 6.062205

Rounded to the nearest tenth, 5.5 t is approximately equal to 6.1 T

1 lb = 0.453592 kg (this is the conversion factor)

To convert 50 lb to kg, multiply 50 by 0.453592: 50 x 0.453592 = 22.6796

Rounded to the nearest tenth, 50 lb is approximately equal to 22.7 kg

1 oz = 28.3495 g (this is the conversion factor)

To convert 10 oz to g, multiply 10 by 28.3495: 10  x 28.3495 = 283.495

Rounded to the nearest tenth, 10 oz is approximately equal to 283.5 g

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The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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The completed relationship is:

0.001 grams = 0.0000000551 µg

To complete the relationship, we need to convert the units of the left-hand side and simplify the right-hand side.

Starting with the left-hand side:

1 mg = 1 milligram = 0.001 grams

Now, we can substitute this into the relationship:

For the right-hand side:

1100 in binary is equal to\(12^3 + 12^2 + 02^1 + 02^0 = 8 + 4 = 12\)

10001000 in binary is equal to \(12^7 + 02^6 + 02^5 + 02^4 + 12^3 + 02^2 + 02^1 + 02^0 = 128 + 8 = 136\)

100 in binary is equal to \(12^2 + 02^1 + 0*2^0 = 4\)

Now, we can substitute these values into the relationship:

0.001 grams = 12 µg / 136 / 4

Simplifying the right-hand side:

12 µg / 136 / 4 = 12 * (1/1000000) * (1/136) * (1/4) = 0.00000005514706...

Rounding this to a reasonable number of significant digits, we get:

0.0000000551

Therefore, the completed relationship is:

0.001 grams = 0.0000000551 µg

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Answer:

c

Step-by-step explanation:

We will have the following:

9.

From the information provided we can obtain the following:

We know that m<3 = 75°.

m<12 = 35°, but by corresponding angles m<4 = m<12 = 35°.

Then:

Now, by opposite angles we have that m<5 = m<8 = 70°.

11. We will have the following from the information provided.

We know that m<3 = 75° and by corresponding angles m<3 = m<1 = 75°.

The  equation she will use to determine how much money she'll have after 2 years is: A = 49,000*(1+0.153/12)^(2*12).

After 2 years she'll have $70,960.36.

The formula for compound interest is: A = P * (1 + r/n)^(n*t).  In the formula, we convert the annual interest rate to a monthly rate by dividing it by 12 (the number of months in a year), and we multiply the number of years by 12 to get the number of months.

Using this formula, we can calculate how much money Lara will have after 2 years:

A = 49000 * (1 + 0.153/12)^(12*2)

A = $70,960.36

Therefore, Lara will have $70,960.36 after 2 years of compounding her investment monthly at 15.3%.

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Answer:

25%

Step-by-step explanation:

We can find this by dividing 1/6 by 2/3 to and then converting to percent. 1/6 divided by 2/3 is equal to 1/6 * 3/2, which is equal to 1/4. 1/4 in percent is 25%.

The tennis team washed a total of 90 cars on Saturday and Sunday to raise money for their new equipment

Number of cars washed on Sunday = 54 cars

Percentage of cars washed out of the total cars on Sunday= 60%

Let x represent the total number of cars washed by the tennis team on Saturday and Sunday

Formulating the equation we get, the following:

Percentage of cars washed out of total cars on Sunday*Total number of cars washed on Saturday and Sunday= Number of cars washed on Sunday

60% of x = 54

60/100*x = 54

x = 54*100/60

x = 90

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Answer:

You forgot the rest of the function, but if x is -2, then the function is represented by f(x)=-2x

If you supply more information the equation would be different.

Step-by-step explanation:

The event of picking a red marble and a blue marble are independent.

Independent events are events that occur independent of each other. The likelihood of one event happen has no relation to the likelihood of the other event happenings. Independent events are random events.

For example, flipping  a coin is an independent event. If a head is flipped, it does not determine if a tail would be flipped next.

The event of picking two different colored marbles are independent because the chances of picking either colors are independent of each other.

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Answer:

diagram B

Step-by-step explanation:

all complementary angles have one right angle in it.

Answer:

1.00 am

Step-by-step explanation:

Find the LCM of 12,18,20 and 25

=900 min ....change it to hrs =15 hrs

10.00am___1000hrs

1000hrs+15hrs

=0100hrs

=1:00 am

The equal-weighted average, the market capitalization-weighted average, and the volume-weighted average.

The type of average that sums the price of each stock and divides the total by a divisor is called a "price-weighted average". In this type of average, the price of each stock is used as a weight to determine its contribution to the overall index.

For example, suppose we have an index with three stocks: A, B, and C. The price of each stock is $10, $20, and $30, respectively. To calculate the price-weighted average of this index, we would add up the prices of each stock and divide by a divisor, which is usually adjusted for changes in the stock prices or for the addition or removal of stocks from the index. In this case, the calculation would be:

($10 + $20 + $30) / 3 = $20

So the price-weighted average of this index is $20.

One drawback of price-weighted averages is that they are sensitive to changes in the prices of higher-priced stocks, since those stocks have a greater weight in the index. This can lead to distortions in the index if the prices of the higher-priced stocks change significantly. Additionally, price-weighted averages do not take into account the market capitalization or trading volume of each stock, which may not accurately reflect the overall market or sector performance.

Other types of averages that address these limitations include the equal-weighted average, the market capitalization-weighted average, and the volume-weighted average.

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Approximately 34% of observations in a normal distribution lie above one standard deviation below the mean.

In a normal distribution, approximately 68% of observations fall within one standard deviation of the mean. This means that approximately 34% of observations lie below one standard deviation below the mean and 34% of observations lie above one standard deviation above the mean.

The standard normal distribution (also known as the Z-distribution) is a normal distribution with a mean of 0 and a standard deviation of 1. So if you have a normal distribution with a mean of "mu" and a standard deviation of "sigma", you can standardize it by (X - mu)/sigma to obtain the Z-score.

In a standard normal distribution, 34% of observations fall below -1 standard deviation and 34% fall above +1 standard deviation. So, 34% of observations in a normal distribution lie above one standard deviation below the mean.

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Answer: Part to whole is 1:2

we conclude that the graphed system of inequalities is the second option

First, notice that we only have the first quadrant shaded, so x and y must be positive, thus:

x ≥ 0

y ≥ 0.

Then we have two lines, such that the shaded part is to the left of the line, and the lines are solids, then we have two inequalities:

y ≤ line 1

y ≤ line 2

Now we can see two lines, such that one with a negative slope has an y-intercept of 5, while the other with a positive slope has an y-intercept of -8.

The only option with these y-intercepts is the second one:

2x - y ≤ 8

x + y ≤ 5

x ≥ 0

y ≥ 0.

So we conclude that the graphed system of inequalities is the second option

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Answer:

53.13

Step-by-step explanation:

\( \cos \: x = \frac{3}{5} \\ \\ \cos \: x =0.6 \\ \\ x = { \cos}^{ - 1} (0.6) \\ \\ x = 53.130102354 \\ \\ x = 53.13 \degree\)

Answer:

I have $550; my sister has $300.

Step-by-step explanation:

Let the amount I have be x.

Let the amount my sister has be y.

We have a total of $850, so

x + y = 850

50% of my amount plus 75% of my sister's amount equals $500.

0.5x + 0.75y = 500

We have a system of two equations:

x + y = 850

0.5x + 0.75y = 500

Multiply the second equation by 2 and subtract the first equation from it.

0.5y = 150

y = 300

x + y = 850

x + 300 = 850

x = 550

Answer: I have $550; my sister has $300.

If earth days merely 2 hours long, which means the rotation period of the earth is 2 hours, your weight will become 1/144 of your actual weight.

The weight or gravitational force on a mass can also be considered as centripetal force.

The formula for the centripetal force is:

F = m v²/R

In this case,

m = your mass

v = tangential velocity or earth's rotation speed

R = earth's radius

Recall that speed = distance / time. In the problem, the distance is the circumference of the earth and the travelled time is the rotation period.

v = C/t

t₁ = 24 hours

t₂ = 2 hours

Since the units are the same, we do not need to convert the unit when comparing them.

Notice that the centripetal force is directly proportional to the square of rotation speed.

F ∝ v²

Hence,

F₁ : F₂ = v₁² : v₂²

But v is inversely proportional to rotation period. Hence,

F₁ : F₂ = t₂² :  t₁²

F₁ / F₂ = (t₂ /t₁)²

F₁ / F₂ = (2 /24)²

F₁ / F₂ = (1 /12)²

F₁ / F₂ = 1/144

Hence, your weight will be 1/144 of your actual weight.

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Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.