In a circle with radius 3 an angle measuring π/4 radians intercepts an arc. Find the length of the arc in simplest form.

Answer:

6.5

Step-by-step explanation:

First you make the list in ascending order.

2, 3, 6, 7, 12, 14

There are six numbers, therefore two numbers could qualify for the "middle number". So, 6 and 7 can qualify, therefore the average of those numbers would be the median. 6+7 = 13 and 13/2 is 6.5

Hope this helps you :)

Answer:

I think that there should be 320 tagged deer in the population

A ratio shows us the number of times a number contains another number. The total population of the deer after a month was 1320.

A ratio shows us the number of times a number contains another number.

When the deer were recaptured 10 out of the 40 deers were tagged therefore, the ratio of the tagged deers to the total population of the deers is 10/40. Thus, we can write the total population of the deer as,

\(\dfrac{\text{Tagged Population}}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\dfrac{330}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\text{Total Population} = \dfrac{330 \times 40}{10} = 1320\)

Thus, the total population of the deer after a month was 1320.

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The volume of the rectangular prism is 180 ft³, From the net of the prism, A = 10 feet, B = 4 feet, C = 6 feet and D = 3 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

The volume of the rectangular prism = length * width * height = 10 * 6 * 3 = 180 ft³

From the net of the prism, A = 10 feet, B = 4 feet, C = 6 feet and D = 3 feet.

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Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation:

Based on the information, the percentage of her total spending did she spend on food is 22.21%.

Consumer spending is the total amount of money spent by people and families in an economy on finished goods and services for their own use and enjoyment. Personal consumption expenditure is another name for consumer spending, consumer demand, or consumer consumption.

Based on the information given, it should be noted that the total amount that can be calculated will be:

= $311 + $467 + $389 + $233

= $1400

Therefore, it should be noted that the percentage that is spent on food will be:

= Amount on food / Total amount × 100

= 311 / 1400 × 100

= 0.2221 × 100

= 22.21%

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Answer:

123%

Step-by-step explanation:

Answer:

For k = 1:

=NEGBINOMDIST(0, 1, 0.666) = 0.6660

For k = 2:

=NEGBINOMDIST(1, 1, 0.666) = 0.2224

For k = 3:

=NEGBINOMDIST(2, 1, 0.666) = 0.0743

For k = 4:

=NEGBINOMDIST(3, 1, 0.666) = 0.0248

For k = 5:

=NEGBINOMDIST(4, 1, 0.666) = 0.0083

For k = 6:

=NEGBINOMDIST(5, 1, 0.666) = 0.0028

Step-by-step explanation:

The probability of obtaining a defective 10-year old widget is 66.6%

p = 66.6% = 0.666

The probability of obtaining a non-defective 10-year old widget is

q = 1 - 0.666 = 0.334

The random variable will be the number of items that must be tested before finding the first defective 10-year old widget.

The geometric distribution is given by

\($P(X = k) = p \times q^{k - 1}$\)

Solving manually:

For k = 1:

\(P(X = 1) = 0.666 \times 0.334^{1 - 1} = 0.666 \times 0.334^{0} = 0.666\)

For k = 2:

\(P(X = 2) = 0.666 \times 0.334^{2 - 1} = 0.666 \times 0.334^{1} = 0.2224\)

For k = 3:

\(P(X = 3) = 0.666 \times 0.334^{3 - 1} = 0.666 \times 0.334^{2} = 0.0743\)

For k = 4:

\(P(X = 4) = 0.666 \times 0.334^{4 - 1} = 0.666 \times 0.334^{3} = 0.0248\)

For k = 5:

\(P(X = 5) = 0.666 \times 0.334^{5 - 1} = 0.666 \times 0.334^{4} = 0.0083\)

For k = 6:

\(P(X = 6) = 0.666 \times 0.334^{6 - 1} = 0.666 \times 0.334^{5} = 0.0028\)

Using Excel function:

NEGBINOMDIST(number_f, number_s, probability_s)

Where

number_f = k - 1 failures

number_s = no. of successes

probability_s = the probability of success

For the geometric distribution, let number_s = 1

For k = 1:

=NEGBINOMDIST(0, 1, 0.666) = 0.6660

For k = 2:

=NEGBINOMDIST(1, 1, 0.666) = 0.2224

For k = 3:

=NEGBINOMDIST(2, 1, 0.666) = 0.0743

For k = 4:

=NEGBINOMDIST(3, 1, 0.666) = 0.0248

For k = 5:

=NEGBINOMDIST(4, 1, 0.666) = 0.0083

For k = 6:

=NEGBINOMDIST(5, 1, 0.666) = 0.0028

As you can notice solving manually and using Excel yields the same results.

Answer:

the first and second option

Step-by-step explanation:

Answer:

-7.5 or 7.5

Step-by-step explanation:

Absolute values remove any negative signs.

lxl=l-7.5l=7.5

7.5 is also another option since it's already a positive value, so the end would not change.

Answer:

Assuming you're doing these values in pairs:

1:9 = 1/9

3:4 = 3/4

35:410 = 7/82

4 = 4

Step-by-step explanation:

Answer: The correct answer is

Step-by-step explanation:

The probability of P(odd number) for  odd numbers is 8/15

Probability is a branch of mathematics that deals with the occurrence of a random event. For example, when a coin is tossed in the air, the possible outcomes are Head and Tail.

According to question

A spinner that has 15 equal-sized sections numbered 1 to 15.

Total number of selection = 15

therefore odd no's are = 1,3,5,7,9,11,13,15 in total 8

And even no's are = 2,4,6,8,10,12,14 in total 7

Now  probability of: P(odd number) = \(\frac{Total odd no's }{Total number of selection}\)

= 8/15

Hence, the probability of odd number is 8/15

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The way the numbers will be placed in the square box will be:

First row = 4 12 14

Second row = 2 10 18

Third row = 6 8 16

It should be noted that the question is simply about adding the numbers and getting 39 in each place.

This will be:

First row = 4 12 14 = 4 + 12 + 14 = 30

Second row = 2 10 18 = 2 + 10 + 18 = 30

Third row = 6 8 16 = 6 + 8 + 16 = 30

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Answer:

\(0 \leq P( P_B) \leq 1\)

\(P(P_B) = 0.17\)

Step-by-step explanation:

From the given question:

The probabilities are assigned using the Subjective method.

Let the probability that his roommate will choose rock be  \(P(R_B) = 0.28\)

Let the probability that his roommate will choose scissors be \(P(S_B) = 0.55\)

∴

\(P(R_B) + P(S_B) +P(P_B) = 1\)

\(0.28+ 0.55 + P(P_B) =1\)

\(0.83 + P(P_B) = 1\)

\(P(P_B) = 1 - 0.83\)

\(P(P_B) = 1 -0.83\)

\(P(P_B) = 0.17\)

So;

\(0 \leq P( P_B) \leq 1\)

\(P(P_B) = 0.17\)

Answer:

If the total price of an object is A, and we have a tax of X%, then the new price of the object is:

Price = A + A*(X%/100%) = A*(1 + X%/100%)

In this case, the initial price of the car is:

A = $16,368

a) the tax is 6.6%

In this case, the price will be:

Price = $16.368*(1 + 6.6%/100%) = $17,448.288

b) the tax is 8.25%

In this case, the price will be:

Price = $16.368*(1 + 8.25%/100%) = $17,718.36

c) the tax is r.

we only replace X% by r.

Price = $16.368*(1 + r/100%)

d) We want to solve for r the above equation, we just need to isolate r.

Price/( $16.368) = (1 + r/100%)

Price/($16.368) - 1 = r/100%

(Price/($16.368) - 1)*100% = r

Answer:

1. adjacent: ∠ACB and ∠BCD.

vertical: ∠ACB and ∠ECD

Step-by-step explanation:

The required it will take 2 hours for the friends to put 7 km between them.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's call the number of hours it takes the friends to be "x". During that time, Rae will have traveled 2x km. And Dana will have traveled 3(x-1) km (since she left an hour later).

We can now set up an equation:

2x + 3(x-1) = 7

Expanding the second term:

2x + 3x - 3 = 7

Combining like terms:

5x - 3 = 7

Adding 3 to both sides:

5x = 10

Finally, dividing both sides by 5:

x = 2

So it will take 2 hours for the friends to put 7 km between them.

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the first one is 0.00001

Step-by-step explanation:

its on the screen

Answer:

Try the underline first

1. 1/7^7 or 10^-6

2. 1/100000 or 10^-5

3. 1/9 or 3^-2

4. 1/512 or 2^-9

Answer:

angle L is 50 degrees! hope this helps

Step-by-step explanation:

idek lol i guessed and got it right

Answer:

d

Step-by-step explanation:

0,0,0,1,1,1,2,2,3,4,7

count the numbers of the number? so theres six 0's and 1's altogether

theres three 2's and 3's altogether

there one 4

theres one 7

then plot them on the chart

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

Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Answer:

8.15

Step-by-step explanation:

Answer:

0.3269

Step-by-step explanation:

Number of spades = 13

Number of 5's = 4

17/52 =

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

450

Step-by-step explanation:

First we have to find the discount

20% of 1500 = 300

if you search up 20 x 1500/100, it would say 300

you can do that same equation in your maths book, and also by canceling out

10% vat tax

so 10% of 1500 = 150

since it is tax, we have to add it to our discount

300 + 150 = 450

450 is the answer

Answer:

B: 1/6

Step-by-step explanation:

edg2020

Answer:

B

Step-by-step explanation:

on edge 2020-2021

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Using the principle of inclusion-exclusion, we can see that the total number of numbers with the given restrictions is:

586,071

o find the number of 7-digit numbers where the digits 1, 2, and 3 each appear at least once, we can use the principle of inclusion-exclusion.

Step 1: Find the total number of 7-digit numbers without any restrictions.

Since each digit can be chosen independently from 0 to 9 (excluding leading zeros), there are 9 options for the first digit (1-9) and 10 options for each subsequent digit (0-9). Therefore, the total number of 7-digit numbers without any restrictions is 9 * 10⁶.

Step 2: Subtract the number of 7-digit numbers that do not contain 1, 2, or 3.

The number of 7-digit numbers that do not contain 1, 2, or 3 is equal to the total number of 7-digit numbers with digits from 0 to 9 (excluding 1, 2, and 3). So for each digit position, there are 7 options (0, 4, 5, 6, 7, 8, 9). Thus, the total number of 7-digit numbers without 1, 2, or 3 is 7⁷.

Step 3: Add back the number of 7-digit numbers that do not contain two of the digits 1, 2, or 3.

The number of 7-digit numbers that do not contain two of the digits 1, 2, or 3 is equal to the total number of 7-digit numbers with digits from 0 to 9 (excluding two of 1, 2, and 3). For each digit position, there are 6 options (0, 4, 5, 6, 7, 8, 9). Thus, the total number of 7-digit numbers without two of 1, 2, or 3 is 6⁷.

Step 4: Subtract the number of 7-digit numbers that do not contain all three digits 1, 2, and 3.

The number of 7-digit numbers that do not contain all three digits 1, 2, and 3 is equal to the total number of 7-digit numbers with digits from 0 to 9 (excluding all three of 1, 2, and 3). For each digit position, there are 4 options (0, 4, 5, 6, 7, 8, 9). Thus, the total number of 7-digit numbers without all three of 1, 2, and 3 is 4⁷.

Now we can apply the principle of inclusion-exclusion to find the desired count:

Total number of 7-digit numbers = 9 * 10⁶ - 7⁷ + 6⁷ - 4⁷

Calculating this expression, we find:

Total number of 7-digit numbers = 586,071

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Answer:

7 plants

Step-by-step explanation:

21 tomato plants in all.

They all have the same number of plants per row.

There are 7 plants in each row.

4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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