At the beach, 14% of people are in the water and 35% are on the sand. If the rest are on the boardwalk, what percentage of people are on the boardwalk

If P(A) = 0.80, P(B) = 0.65, and P(A È B) = 0.78, then P(B½A) =the answer is (a) 0.9750. By the formula for conditional probability

To find P(B|A), we can use the formula for conditional probability: P(B|A) = P(A ∩ B) / P(A). We know P(A) = 0.80, but we need to find P(A ∩ B).

We can use the formula for the union of two events: P(A ∪ B) = P(A) + P(B) - P(A ∩ B). We are given P(A ∪ B) = 0.78 and P(B) = 0.65.

Plugging in the values, we get:

0.78 = 0.80 + 0.65 - P(A ∩ B)

Now, solve for P(A ∩ B):

P(A ∩ B) = 0.80 + 0.65 - 0.78
P(A ∩ B) = 0.67

Now we can find P(B|A):

P(B|A) = P(A ∩ B) / P(A)
P(B|A) = 0.67 / 0.80
P(B|A) = 0.8375

So the answer is (c) 0.8375.

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The MAD of set 2 is 13. 35 more than the MAD of set 1.

The average distance between each data point and the mean is the mean absolute deviation of a dataset.

The mean of the first data set is,

\(\rm Mean_1=\dfrac{16+ 15+ 10+ 12}{4} = 13.25\)

Now, the mean absolute deviation of the first data set is,

\(\rm MAD_1=\dfrac{2.75+ 1.75+ 3.25+ 1.25}{4} = 2.25\)

The mean of the second data set is,

\(\rm Mean_2=\dfrac{16+ 62+ 15+10+ 12}{5} = 23\)

Now, the mean absolute deviation of the second data set is,

\(\rm MAD_2=\dfrac{7+39+8+13+11}{5} = 15.6\)

Now, if we calculate the difference in the mean absolute deviation of the two sets, therefore, the difference in the MAD is,

\(\text{Difference in MAD}=MAD_2-MAD_1 = 15.6-2.25 = 13.35\)

Hence, The MAD of set 2 is 13. 35 more than the MAD of set 1.

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Answer:

3 tiles left

Step-by-step explanation:

You can only use a maximum of 9 tiles to make a perfect square. You would need 7 more tiles to make a larger square. Having used 9 tiles, you will have 3 leftover. (12 - 9 = 3)

Hope I helped!

f(-2) and f(2) does not exist. Limit when x tend to -2, 0 and 4 does not exist. f(0) = 5 and f(4) = -1. Limit when x tend to 2 converges to 0.5.

f(-2) does not exist as shown in the figure there is no definite value at -2. Also limit does not exist at x = -2 as right limit approaches positive infinity where left limit approaches negative infinity.

f(0) equals 5 and not 3.5 as we can see that at 3.5 it is a hole implying it is not defined, while at 5 it is a solid dot. Limit does not exist at f(0) as the left limit approaches 3.5 and the right limit approaches 5.

f(2) does not exist as there is a hole at that point in the graph. Limit as x tend to 2 approaches 0.5 as both right and left limit approaches 0.5.

f(4) equals -1 as the solid dot is at that point. As x tend to 4 the limit diverges to positive infinity implying the limit does not exist.

--The question is not readable, answering to the question below and graph attached--

"Use the graph of the function f to decide whether the value of the given quantity exists. (If an answer does not exist, enter DNE.)

(a) f(−2)

(b) lim x→−2 f(x)

(c) f(0)

(d) lim x→0 f(x)

(e) f(2)

(f) lim x→2 f(x) 0.5

(g) f(4)

(h) lim x→4 f(x) "

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Answer:

Trinomial.

Step-by-step explanation:

A monomial has one term. A binomial has two terms. A trinomial has 3 terms.

x + y + z has 3 terms; x, y, z. So it is considered a trinomial.

Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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Answer:

kkeierikrore

Step-by-step explanation:

46 and big pp no csp

Answer:

114

Step-by-step explanation:

15 x 2 + 9 x 2 + 11 x 3 + 11 x 3 = 114

(the bottom portion is equal to 3 x 11)

11 plus 9 plus 11 is 31.

31 plus 15 plus 15 is 61.

61 plus 11 plus 11 is 83.

83 plus 9 plus 9 is 101.

13 minus 9 is 4.

So the answer is C 114 mm.

The compound interest formula is

In the exercise, we have:

A=2800

P=2200

t=7

Answer: 3.51%

Answer:

1. first option

2. second option

3. second option

Step-by-step explanation:

i dunno i did the math and used a calculator. im pretty confident with my answers so hopefully theyre right

We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

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Answer: f=180-27-124=30°

e=27°

d=124°

Answer:

First Choice:  slope: 2    y-intercept: -2

Step-by-step explanation:

Take two plotted points, ex: (2, 2) and (3, 4)

Use slope formula: y2- y1 / x2 - x1 

(2, 2) - (x1, y1)

(3, 4) - (x2, y2)

4 - 2 / 3 -2 = 2 / 1 = 2 (slope)  

**Also, the graph is increasing so the slope must be positive**

Now for the y-intercept, the line passes through "-2" on the y-intercept. Therefore, the y-intercept must be "-2". 

If this was in slope-intercept form, it would look like; y = 2x - 2. The answer to your question is the first choice. Hope this helps! :)

Answer:

{5 x = f(x) + 6, x = g(x) + 4}

Step-by-step explanation:

Answer:

The coordinates of point B are: (29,-15)

Option D is correct option.

Step-by-step explanation:

Endpoint of diameter of a circle = A(5,7)

Centre of circle = P(17,-4)

We need to find coordinates of other endpoint of diameter of a circle i.e. B

The formula used is: \(Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

We are given coordinates of centre (midpoint) P(17,-4)

and A (5,7) x₁=5, y₁=7

We need to find Point B i.e. (x₂,y₂)

Putting values and finding point B

\(Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15\)

so, we get: x₂ = 29 ,y₂ = -15

The coordinates of point B are: (29,-15)

Option D is correct option.

Answer:

0.4987

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

So for 80 we have:

z = (80 - 80) / (3)

z = 0

and this value represents 0.5

for 89 we have:

z = (89 - 80) / (3)

z = 3

and this value represents 0.9987

we subtract:

0.9987 - 0.5 = 0.4987

Which means that it represents 49.87%

Answer:

What is the product of −2 1/2 and −3 1/3

Step-by-step explanation:

What is the product of −2 1/2 and −3 1/3

Answer:

Down

3

2

Step-by-step explanation: on edge trust me.

Answer:

Adding –2i to z results in a shift  ✔ down . The resulting number is   ✔ 3  –  ✔ 2 i.

Step-by-step explanation:

just did it on edge :)

good luck

please mark me brainliest!!

Remember that

The Roster Method is a way to show the elements of a set by listing the elements inside brackets.

In this problem we have

The set of n negative integers greater than -7

so

the negative integers greater than -7 are

-6,-5,-4,-3,-2 and -1

therefore

The elements are

The false statement is (a) a chi-square distribution with k degrees of freedom is more right-skewed than a chi-square distribution with k+1 degrees of freedom.

In fact, as the degrees of freedom increase, the chi-square distribution becomes less skewed and approaches a normal distribution. Statement (b) is true, a chi-square distribution never takes negative values. Statement (c) is generally true, the degrees of freedom for a chi-square test are determined by the sample size minus one. Statement (d) is incomplete, as there is no specified value for df. The larger the degrees of freedom, the smaller the p-value for a given chi-square value.

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Answer: A

Therefore, the answer is A.

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

\(100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars\)

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Step-by-step explanation:

area of the base is the area of the rectangle 5×12.

B = 5×12 = 60 in²

the height h is then the side going up from that base rectangle : 4 in.

the perimeter of the base (rectangle) is 2×length + 2×width

P = 2×12 + 2×5 = 24 + 10 = 34 in.

Answer:

a

Step-by-step explanation:

Answer:

48 × 3 units³.

Step-by-step explanation:

V = l · w · h

8 · 3 · 6 = 144.

Answer is 144³.

240 mL of 15% alcohol solution contains 0.15 • 240 = 36 mL of alcohol.

If we add \(x\) mL of pure alcohol to it, we increase the total volume to \(240 + x\) mL, and it will contain \(36 + x\) mL of alcohol.

Solve for \(x\) such that the concentration of alcohol (the ratio of the volume of alcohol to total volume of solution) is 80%.

\(\dfrac{36 + x}{240 + x} = 0.80\)

\(36 + x = 0.80 (240 + x)\)

\(36 + x = 192 + 0.80x\)

\(0.2x = 156\)

\(x = 780\)

You need to add 780 mL of pure alcohol to get the desired concentration.

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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Answer:

0.06  

Step-by-step explanation:

hope this helps

6 divide by 100= 0.06

Answer:

Step-by-step explanation:0.06

Answer: 2+ 2

Step-by-step explanation:

no problem

The car costs $0.1304 for one mile.

Given, a car costs $3.26 for 25 miles. Let x be the cost of the car per mile.

Then, the cost of the car for one mile is x dollars.

So, the cost of the car for 25 miles is 25x dollars.

As per the given data, the cost of the car for 25 miles is 3.26 dollars.

Therefore, we get the equation as:

25x = 3.26 On dividing both sides by 25, we get x = 0.1304 dollars. Thus, the car costs $0.1304 for one mile.

We have to find the cost of the car for one mile.

So, let x be the cost of the car per mile. Then, the cost of the car for one mile is x dollars.

The cost of the car for 25 miles is 25x dollars.

As per the given data, the cost of the car for 25 miles is 3.26 dollars.

25x = 3.26On dividing both sides by 25, we get

x = 0.1304 dollars

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