Multiply 7,952 × 8. Explain how you know your answer is reasonable.

Answer:

3.6 in³

This should be the correct answer, good luck!

Answer:

The fraction that is equivalent to 2/6 is 1/3

Answer:

31.4

Step-by-step explanation:

diameter (d) = 10

circumference = (3.14)d

                        = (3.14)10 = 31.4

circumference = 31.4

Answer:

The answer is C.

Step-by-step explanation:

I got a 100% on the quiz!

We have the following:

we separate the figure into 2 two, the total area will be the sum of these, like this:

the area of each one is the base times the height in each case, therefore we calculate in each case the area

The small

The big

The total area is:

The answer is 24 square feet

Using conditional probability, it is found that the correct statement is given by:

C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

If two events are independent, we have that:

\(P(A \cap B) = P(A)P(B)\).

Hence:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)\)

\(P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{P(A)P(B)}{P(B)} = P(A)\)

Which means that option C is correct.

More can be learned about conditional probability at https://brainly.com/question/14398287

#SPJ1

Answer: 68y+106=36-y

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

To learn more on exponential functions: https://brainly.com/question/30951187

#SPJ1

Answer: 3:4

Step-by-step explanation: just divide it by 5

4x5=20

3*5=15

if the ratio was 6:15 then you would dive it by 2 because 2 is equivalent to 6 and 7.

Hope this helps :)

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

For more information on the Perimeter of the Rectangle, click:

https://brainly.com/question/13757874

Answer:

6.33

Step-by-step explanation:

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

Answer:

A = 22.62°

B = 67.38°

c = 26

Step-by-step explanation:

\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)

\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios

\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

Answer:

(a) \(\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....\)

(b) P(1) = 0.740, P(2) = 0.192, and P(3) = 0.050.

(c) The probability that n ≥ 4 is 0.018.

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is 3.

Step-by-step explanation:

We are given that on the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry.

Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

(a) We can observe that the above situation can be represented through the geometric distribution because the geometric distribution states that we will keep on going with the trials until we achieve our first success,

Here also, n represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

So, the probability distribution of the geometric distribution is given by;

\(\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....\)

where, p = probability that the residents are of Hawaiian ancestry = 74%

(b) The probabilities that n = 1, n = 2, and n = 3 is given by;

\(\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1}\)

P(1) = \(\text{0.74} \times \text{(1 - 0.74)}^{1-1}\) = 0.74

P(2) = \(\text{0.74} \times \text{(1 - 0.74)}^{2-1}\) = 0.192

P(3) = \(\text{0.74} \times \text{(1 - 0.74)}^{3-1}\) = 0.050

(c) The probability that n ≥ 4 is given by = P(n ≥ 4)

     P(n ≥ 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3)

                   = 1 - 0.74 - 0.192 - 0.050

                   = 0.018

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is given by = E(n)

We know that the mean of the geometric distribution is given by;

           Mean = \(\dfrac{p}{1-p}\) = \(\dfrac{0.74}{1-0.74}\)

                     = \(\dfrac{0.74}{0.26}\) = 2.85 or 3 (approx).

i is expression is equivalent to i233.

Given i233

We know that i2 = -1 , if we square (i2) we get (-1)2 = 1

So, if i is multiplied to (i2), we get i3 = (-1).i = -i

Again if i is multiplied to i3 , we get i4 = (-i).i = -i2 = -(-1) = 1

Hence, all even powers of i after 2, will give answer as 1

The sequence will continue as a cycle as i, -1, -i, 1

So, i233 can be rewritten as i232 + 1= i232.i

i233 = (i2)116 .i = (-1)116 . i

Since the power 116 is even , the term becomes 1.i = i

Therefore, i233 = i

To learn more about mathematical expression refer to:

https://brainly.com/question/4344214

#SPJ13

Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then  R(t) = 20 + 1.6sin(2πt/5.2).

The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.

In this case, the amplitude is 1.6.

Since the radius changes by a maximum of 1.6 million miles.

The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)

The phase shift is 0, since when t = 0 the radius is increasing.

The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)

To learn more about equation for a sine wave link is here

brainly.com/question/14979785

#SPJ4

Answer:

c the answer is c .

Step-by-step explanation:

because they are all negative

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

Read more about fraction at

https://brainly.com/question/31896427

#SPJ1

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

Answer:

A=πr2=π·12≈3.14159ft²

A≈3.14ft²

Step-by-step explanation:

The length of segment GH is approximately 2.2

We have,

To find the length of segment GH, we need to calculate the distance between points G(-1, -4) and H(-3, -3).

The distance formula between two points \((x_1, y_1) ~and ~(x_2, y_2)\) in a coordinate plane is given by:

\(d = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}\)

Applying the formula to the coordinates of points G and H, we have:

d = √((-3 - (-1))² + (-3 - (-4))²)

d = √((-3 + 1)² + (-3 + 4)²)

d = √((-2)² + (1)²)

d = √(4 + 1)

d = √(5)

The length of segment GH is the square root of 5, which is approximately 2.24 when rounded to the nearest tenth.

Therefore,

The length of segment GH is approximately 2.2

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Answer:

A. True.

Step-by-step explanation:

To get the standard error of the mean, you need to do the sample standard deviation over the square root of the number of samples, n.

In this case, n = 100. The standard deviation is 12. To get the SAMPLE standard deviation, you do the population standard deviation over the square root of n. That is 12 / sqrt(100) = 12 / 10 = 1.2.

So, to get the standard error: 1.2 / sqrt(100) = 1.2 / 10 = 0.12.

The standard error of the mean is, indeed, 0.12, so the statement is A. True.

Hope this helps!

Answer:

c on edge

Step-by-step explanation:

trust me bro

Answer:

48/13

Step-by-step explanation:

To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction

3 * 13/13 = 39/13

Then add it to the rest of the fraction

39/13 + 9/13

= 48/13

Answer: 48/13

Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.

3 3/10

-

to find the answer to the equation, you need to find the least common denominator (LCD) of the three fractions:

15: 15, 30, 45, 60, 75

10: 10, 20, 30, 40, 50, 60

5: 5, 10, 15, 20, 25, 30

in this problem, the LCD is 30.

then, multiply the numerator by the number you found the LCD with:

⁶⁄₁₅ = ¹²⁄₃₀, ³⁄₁₀ = ⁹⁄₃₀, and ⅗ = ¹⁸⁄₃₀.

¹²⁄₃₀ + ⁹⁄₃₀ + ¹⁸⁄₃₀ = 3 ⁹⁄₃₀ = 3 ³⁄₁₀ when simplified.

(i attached my scrap paper just in case)

The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;

Given:

Hannah makes 5 out of 8 attempted free-throws.

Now,

The average waiting time of hannah to make her first basket is 5/8

The probability of hannah making basket at her last attempt is 1/8

The probability of hannah making basket before her last attempt is 2/8

Hence, the probabilty will be 1/8 and 2/8;

Learn more about interpretation of probability here;

https://brainly.com/question/23024246

#SPJ1