The following table gives the number of registered pleasure boats (in tens of thousands) and the number of manatee deaths caused by boats in florida for each year from 1991 to 2014. boats 'ten thousands) 68 manatee deaths 68 53 67 38 39 7 l 79 1 83 90 68

The value x = 3 will result in the greatest relative frequency given discrete random variable X.

What is relative frequency?

A frequency is the number of times an event takes place. It's experimental, not theoretical, to study relative frequency. As it is an experimental one, it is likely that when we repeat the trials, we will get different relative frequencies.

The relative frequency of a discrete random variable increases with decreasing variable value.

This implies that,

A variable with x = 0 would occur more frequently than one with x = n, where n > 0.

So, the greatest relative frequency given discrete random variable X, when X ∼ B (4, 1/10) is  x = 3.

Hence, the value x = 3 will result in the greatest relative frequency given discrete random variable X.

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Answer:

It is true that the product of a complex number and its conjugate is a real number.

Step-by-step explanation:

You're welcome.

Answer:

True

Step-by-step explanation:

....this is how you 'rationalize' denominators that have complex numbers in them

Answer:

5.6

Step-by-step explanation:

11*7=77

11.8*7= 82.6

82.6-77=5.6

Using simple mathematical operations, we know that we can have 10 different arrangements to plant 2 apple trees and 5 pear trees in a row.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.

Parentheses, Exponents, Multiplication, and Division (from Left to Right),

Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).

So, we know that:

Golden delicious apple trees: 2

Bartlett pear tree: 5

Different arrangements that can be made are as follows:
2 * 5

10

Therefore, using simple mathematical operations, we know that we can have 10 different arrangements to plant 2 apple trees and 5 pear trees in a row.

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Answer:

4.6 I think

Step-by-step explanation:

Answer:

y/2

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

either d or b???

The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.

If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.

\(\text { Area }=\frac{1}{2} a b \sin \theta\)

Now, according to the question;

The two sides of the triangle are given;

Let a = 4m and b = 5m.

Let θ = π/3. be the angle between the two sides;

Then,

Differentiate the area with respect to time (as rate of change of area)

\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)

Therefore, the area of the triangle as a function of angle is 0.3 m²/s.

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The complete question is-

Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.

Answer:

Step-by-step explanation:

the range of y=|x| is not all real numbers its [0,inf)

Answer:

La respuesta es 185

Step-by-step explanation:

Todo número multiplicado por "1" será el mismo número por ejemplo:

1 × 185 = 185, 1 × 50 = 50, 1 × 10 = 10

Answer:

D

Step-by-step explanation:

Answer:

marval

Step-by-step explanation:

Here, we want to solve for the value of n

What this simply mean is to isolate n on the lefthand side of the equation

We proceed as follows;

Divide both sides by 3

The height of the wall is 15 feet.

To find the height of the wall, we can use the concept of proportions. The ratio of the length of the pole to its shadow length is the same as the ratio of the height of the wall to its shadow length.

Let's set up the proportion:

Height of the pole / Length of the pole = Height of the wall / Length of the wall

We know that the length of the pole is 10 feet and its shadow length is 12 feet. We need to find the height of the wall when its shadow length is 18 feet.

Using the proportion, we can solve for the height of the wall:

Height of the wall = (Height of the pole / Length of the pole) * Length of the wall

Plugging in the values, we get:

Height of the wall = (10 / 12) * 18

Height of the wall = (5 / 6) * 18

Height of the wall = 15 feet

Therefore, the height of the wall that casts a shadow of length 18 feet is 15 feet.

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Answer:

a) below

b) log_35 (8) = x

c) x = 0.58487

Step-by-step explanation:

a) 35^x=8

apply the exponent rule

xln(35) = ln(8) → x = ln(8)/ln(35) → x = 3ln(2)/ln(35)

x = 0.58487

c) log_35 (8) = x

x = log_35 (8)

base form (Rewrite 8 in power)

x = log_35 (2^3)

log rule: log_a(x^b) = b*log_a(x)

log_35 (2^3) = 3log_35(2)

x = 3log_35(2)

x = 0.58487

Decimal= 1.30

Percent = 65%

There is one whole block. And there are 3 rows on the second block out of 1 whole block. So 1 whole block plus 3 rows out of 10 rows is 1.3 and 65% percent out of 2 whole blocks or 100%.

Answer:

?

Step-by-step explanation:

Answer:

x=-45/11

Step-by-step explanation:

2x/3-3/2=5x/2+6

2x/3=5x/2+7.5

11x/6=7.5

11x=45

x=-45/11

Answer:

Radius = 3

Since radius is half of diameter diameter is 6 because 3 x 2= 6

Now I multiply that by pi so...

6 x 3.14 = 18.84 So 18.84 is our answer.

Answer:

.066 = 6.6 percent chance

Step-by-step explanation:

1 in 5 chance to get 6, so that is .20 multiply .20 and .33 and you get .066

Answer:

Additive Identity Property

Step-by-step explanation:

Answer:

About 706.5 or 707

Explanation:

3.14 • 5² (5² is also 25) = 78.5

78.5 • 9 = 706.5 or 707

Edit: Also posted a better picture for explanation. See the attachment.

Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Answer:

  A

Step-by-step explanation:

Consider figure B. It has a uniform horizontal cross section of  2 m, and a height of 7 m. Its area is ...

  A = bh

  A = (2 m)(7 m) = 14 m²

__

Figure A decomposes into a rectangle that is 3 m × 5 m and an additional triangle that has a base of 3 m and a height of (7 -5) = 2 m.

The rectangle part of Figure A has an area of ...

  A = bh

  A = (3 m)(5 m) = 15 m²

Already this area is larger than the area of figure B, and we have not even added in the are of the triangle.

__

Figure A has the larger area.

_____

Additional comment

The area of the triangle of figure A is ...

  A = 1/2bh = 1/2(3 m)(2 m) = 3 m²

so the total area of Figure A is (15 m² +3 m²) = 18 m².

Amanda could buy more than 4 inches but less than 8 inches of purple wire to make triangle.

For Amanda to make a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Therefore, the minimum amount of purple wire she could buy would be the sum of the lengths of the blue and green wires (4 inches + 8 inches = 12 inches), minus the length of the longest side (which is 8 inches), so 12 inches - 8 inches = 4 inches.

The maximum amount of purple wire she could buy would be the sum of the lengths of the two shorter sides (4 inches + 4 inches = 8 inches).

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Answer:

Step-by-step explanation:

The slope-intercept form of equation is:  y = mx + b

where m is slope and b is y-intercept

If line y=ax+b passes through point (x₀,y₀) that means

that the equation y₀=ax₀+b is true

(-5, -2)    ⇒   x=-5,   y=-2

m = -⁶/₅

So:

              -2 = -⁶/₅ (-5) + b

               -2 = 6 + b

               b = -8

Therefore equation in  slope-intercept form:

                                                                     y = -⁶/₅x - 8

You should survey at least 97 families in order to estimate the mean family income in the rural area of Florida with a margin of error of $1,000 and an expected standard deviation of $5,000, assuming a 95% confidence level.

To determine the sample size required for the survey, we need to consider the desired margin of error, the expected standard deviation, and the desired level of confidence. In this case, you mentioned that the margin of error should be within $1,000 and the expected standard deviation is $5,000. However, you didn't mention the desired level of confidence.

Typically, a 95% confidence level is used, which means we want to be 95% confident that the true mean family income falls within the margin of error. Based on this assumption, we can calculate the required sample size using the following formula:

n = (Z^2 * σ^2) / E^2

n = required sample size

Z = Z-score corresponding to the desired confidence level

σ = standard deviation

E = margin of error

For a 95% confidence level, the Z-score is approximately 1.96 (assuming a normal distribution).

Substituting the values into the formula, we get:

n = (1.96^2 * 5000^2) / 1000^2

n ≈ (3.8416 * 25,000,000) / 1,000,000

n ≈ 96,040,000 / 1,000,000

n ≈ 96.04

Since you cannot have a fraction of a family, you would need to round up the sample size to the nearest whole number. Therefore, you should survey at least 97 families and an expected standard deviation of $5,000, assuming a 95% confidence level.

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The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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