8
Express sin A, cos A, and tan A as ratios.
12
613

Answer:

a d e

Step-by-step explanation:

Answer:

I think the answer you're looking for is 86400

Step-by-step explanation:

Answer: 2527 divided by 8 equals

315 with a remainder of 7

Step-by-step explanation:

Using the given data, the average percent score for the 100 students is 77\(\%\).

Average, also known as mean, is one of the measures of central tendency and is the ratio of the sum of all observations to the total number of observations. It is very useful to summarize a probability distribution.

Let the average percent score for the 100 students be N.

As it is known that the average is the ratio of the sum of all observations to the total number of observations, therefore:

\(N = \dfrac{100\times7+90\times18+80\times35+70\times25+60\times10+50\times3+40\times2}{100}\)

   \(= \dfrac{7700}{100}\\= 77\)

Thus, the average percent score for the 100 students, using the given data is calculated as 77\(\%\).

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The complete question is as follows:

Mrs. Riley recorded this information from a recent test taken by all of her students. Using the data, what was the average percent score for these 100 students?

\(\%\) Score  Number of students

100                  7

90                   18

80                   35

70                   25

60                   10

50                   3

40                   2

Answer:

1

Step-by-step explanation:

To find the median number of musical instruments played, we first need to arrange the data in ascending order:

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3

Next, we count the total number of responses, which is 15. Since 15 is an odd number, the median will be the average of the middle value.

The middle value is 1

Hence, the median number of musical instruments played is 1.

Personally i think that if you use the pi symbol it would be more accurate because on a calculator there is an pi symbol √ which is the same it will give you an answer closer to an whole number.

The absolute value model |x - 30| = 10 represents the time required for Jack to fold his laundry. (Correct choice: D)

Absolute values are functions used in mathematics that represents the magnitude of a number, whose definition is summarized below:

In this case, we must determine an absolute value model that contains the maximum and minimum times required by Jack to fold his laundry, This is represented by the following model:

|x - a| = b

Where:

If we know that a = 30 min and b = 10 min, then the absolute value model is:

|x - 30| = 10

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Answer:

oh no that's tough bro

hope you get through

Answer:

7 divided 2 is another way of saying 7/2 since division and fractions are alike.

Step-by-step explanation:

Answer:

because youre still dividing it either way;

Step-by-step explanation:

an improper fraction (7/2) you would have to see how many times the 2 goes into the 7 to get a proper fraction. its the same way with division, just less complicated and in a different format.

Answer:

km is a unit of distance

and si unit of distance is meters.(m)

1 km = 10³ m

•°• 2 km = 2 × 10³ m

in SI unit 2km = 2 × 10³ m or 2000 m

Answer: I don't believe the explanation above provides the correct answer. You would need to use the concept of proportions to solve this problem. The Answer I got is 2100.

Step-by-step explanation:

It is very simple all you have to do is setup a proportion with Reena's on top and Neha's on the bottom.

8/6 = 2800/x

Now cross multiply,

2800 * 6 = 8x

x=16800/8

x=2100

Now we can double-check by dividing the original ratio with the ratio we found.

8/6 = 1.3333333...

2800/2100 = 1.333333...

Thus, the answer is correct.

Answer:

sorry it's too long

Step-by-step explanation:

Simplifying

3y + 3(1 + -1y) + -1y = 6

3y + (1 * 3 + -1y * 3) + -1y = 6

3y + (3 + -3y) + -1y = 6

Reorder the terms:

3 + 3y + -3y + -1y = 6

Combine like terms: 3y + -3y = 0

3 + 0 + -1y = 6

3 + -1y = 6

Solving

3 + -1y = 6

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1y = 6 + -3

Combine like terms: 3 + -3 = 0

0 + -1y = 6 + -3

-1y = 6 + -3

Combine like terms: 6 + -3 = 3

-1y = 3

Divide each side by '-1'.

y = -3

Simplifying

y = -3

Probability of the sample mean being between $180,000 and $200,000:

Based on the information given, the mean annual salary for graduates 10 years after graduation is $187,000 and the standard deviation is $40,000. We are asked to consider a simple random sample of 14 graduates.

about this sample, we can use the properties of the normal distribution. Since the sample size is large enough (n > 30) and the population standard deviation is known, we can use the normal distribution to analyze the sample data.

1. Probability of the sample mean being less than $190,000:
We can calculate the z-score using the formula: z = (x - μ) / (σ / √n)
Plugging in the values, we get: z = (190,000 - 187,000) / (40,000 / √14)
Calculate z using a z-table or a calculator to find the probability.

2. Probability of the sample mean being between $180,000 and $200,000:

We can calculate the z-scores for both values and find the corresponding probabilities using a z-table or a calculator. Subtract the probability of the lower value from the probability of the higher value.

Remember to round all answers to four decimal places if necessary.

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Answer:

Her final number is 594.

Step-by-step explanation:

Increase 600 by !0%:

0.1 * 600 = 60

600 + 60 = 660

Decrease result by 10%:

0.1 * 660 = 66

660 - 66 = 594

Answer:

20.04

Step-by-step explanation:

Answer:

20.04

Step-by-step explanation:

The three is in the hundredths place:

find your place (3)

look next door (8)

5 or greater add one more so 4

The probability of event A or event B occurring is 0.51 if events A and B are independent.

If events A and B are independent, then the probability of both events occurring is given by:

P(A and B) = P(A) * P(B)

Since the events A and B are independent, the probability of either event occurring is given by the sum of their individual probabilities minus their joint probability:

P(A or B) = P(A) + P(B) - P(A and B)

Substituting the given probabilities of P(A) = 0.28 and P(B) = 0.32, we have:

P(A or B) = 0.28 + 0.32 - (0.28 * 0.32)

= 0.6 - 0.0896

= 0.51

Therefore, the probability of event A or event B occurring is 0.51 if events A and B are independent.

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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x is 6.215 km and the total time taken for the whole journey is 3.61 hours.

Boat's speed in still water = u = 4 km/h

Speed of stream = v

Distance between A and B = 5 km

Upstream speed = u - v

                            = 4 - v

Time taken = \(T_{1}\) = \(\frac{5}{4-v}\)

Downstream speed = x = u + v

                                       = 4 + v

Time taken = \(T_{2}\) = \(\frac{5}{4+v}\)

According to question,

      \(T_{1}= T_{2}+2\)

    \(\frac{5}{4-v}=\frac{5}{4+v}+2\)

    \(\frac{5}{4-v}=\frac{5+2(4+v)}{4+v}\)

    \(\frac{5}{4-v}=\frac{5+8+2v}{4+v}\)

5(4+v) = (13+2v)(4-v)

20+2v = -2\(v^{2}\)-5v+52

\(2v^{2}+10v-32 = 0\)

\(v^{2}+5v-16 = 0\)

v = 2.215 or -7.215

Speed can't be negative.

Therefore, v = 2.215

Upstream speed = 4 - 2.215

                            = 1.785 km/h

Downstream speed = 4 + 2.215

                                 = 6.215 km/h

\(T_{2}\) = 5/6.215

    = 0.805 h

\(T_{1}\) = 2 + 0.805

   = 2.805 h

Total time = 2.805 + 0.805

                 = 3.61 h

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The parametric representation for the part of the cylinder y2 z2 = 81 that lies between the planes x = 0 and x = 1 is 0 <= u <= 1

Let x = u

y = r cos (v)

z = r sin (v)

y² + z² + r² = 9²

r = 9

Therefore, c = 9 sin v

0 <= x <= 1

x = u.

Therefore

0 <= u <= 1

The correct option is 0 <= u <= 1.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Step-by-step explanation:

The location of the vessel in distress is located in between ship A and ship B,

to the right of ship A and to the top left of ship B

to arrive at the answer we have to understand the cardinal point system.    

kindly find attached a detail sketch of the location of the ships and the point of distress call  

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4.

The probability that if you choose 2 people randomly from the 16 in the hospital, exactly one will need an x-ray is as follows:
Firstly, calculate the probability of choosing one person who needs an X-ray and one person who doesn't.

There are 4 people who need an x-ray and 12 who don't, so the probability for this is (4/16) * (12/15).

Now, calculate the probability of choosing one person who doesn't need an X-ray and one person who does. This is (12/16) * (4/15).

Now, add the probabilities to find the total probability.

The probability that exactly one person will need an x-ray is

(4/16) * (12/15) + (12/16) * (4/15) = 2/5

=0.4.

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The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

If there are 16 people in a hospital and 4 need an xray, the probability that if you choose 2 people randomly, exactly one will need an xray is 0.56.

Total number of people in a hospital = 16

Number of people who need an x-ray = 4

Thus, the probability that if you choose 2 people randomly, exactly one will need an x-ray is given by;

P(one needs an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one needs an x-ray) = (4 × 12) / 16 × 15

P(one needs an x-ray) = 0.08

P(one doesn't need an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one doesn't need an x-ray) = (12 × 4) / 16 × 15

P(one doesn't need an x-ray) = 0.32

Now, we have to add both the probabilities of exactly one person needing an x-ray and exactly one person not needing an x-ray;

P(exactly one person needs an x-ray) = P(one needs an x-ray) + P(one doesn't need an x-ray)

P(exactly one person needs an x-ray) = 0.08 + 0.32P(exactly one person needs an x-ray) = 0.4

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

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The resulting equation written in standard form is 16x² - 22x + 6 = 0.

Quadratic Equation in Standard Form: ax² + bx + c = 0

a, b and c are known values. a can't be 0.

"x" is the variable or unknown (we don't know it yet).

The "solutions" to the Quadratic Equation are where it is equal to zero.

They are also called "roots", or sometimes "zeros"

We can Factor the Quadratic (find what to multiply to make the Quadratic Equation)

Calculation for the given equation-

Now, y=-16x²+24x+6

Substitute, y = 12+2x in y = -16x²+24x+6.

=> 12+2x = -16x²+24x+6

=> 16x²-24x-6+12+2x = 0

=> 16x²-22x+6 = 0

Therefore, the quadratic equation given in the standard form is 16x²-22x+6 = 0.

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The complete question is-

The two equations are given below;

Y = 12 + 2x   linear equation

Y = -16x² + 24x + 6  quadratic equation

If you substitute 12 + 2x for y in the second equation how is the resulting equation written in standard form?

1) In this question, the best way to tackle it is to sketch out that triangle:

2) Let's use The Law of Sines and then perform some algebraic manipulation:

So let's cross multiply then:

And that's the answer.

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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