The Life time in hours of a certain aircraft has the normal distribution with mean 80, Standard devation 16. What is the probability that the aircraft Will last 100 hours

The value of (fg)(6) is -6x³ + 72x² + 72x - 864 after doing the mathematical operations.

So, f(x) = x² - 12 and g(x) = 12 - x.

Then, (fg)(6) will be:

Therefore, the value of (fg)(6) is -6x³ + 72x² + 72x - 864 after doing the mathematical operations.

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The defition of a function is a mathematical correspondence that assigns exactly one element of one set to each element of the same or another set.

So, Your ques

Clare can go 3 times for her workout cycle

Clare follows the same workout cycle each time she goes to the gym

She spends 1 1/2 hour at the gym

First, she runs 1/3 of an hour

After that, she lifts 1/3 of an hour

The first step is to convert to minutes

60 mins = 1 hour

1/2 × 60

= 30

30 + 60

= 90 mins

convert 1/3 to mins

1/3 × 60

= 20 mins

convert 1/6 to mins

1/6 × 60

= 10 mins

Total mins= 20 + 10

= 30 mins

The number of workout cycles can be calculated as follows

= 90/30

= 3

Hence Clare can go 3 times for her workout cycle

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The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)

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

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

The standard form for linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The equation of line passing through (5, 2) and (-4, -16) is:

y - 2 = [(-16-2)/(-4-5)](x - 5)

y - 2 = 2(x - 5)

y = 2x - 8

y + 16 = 2(x + 4)

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Answer:

The answer would be C or 9.

Step-by-step explanation:

Figure out how many times 8 can fit into 24.(That would be 3 times) Then multiply 3 by the number of times 8 fit into 24 and get to your answer! (Please let me know if I am wrong)

Answer:

[C] 9

Step-by-step explanation:

Given:

Roland has a basket of 24 fruits. If 3 out of 8 of these fruits are oranges, how many oranges are in Roland's basket?

Solve:

" 3 out of 8 " is the same things as "⅜"

Therefore,

24 × ⅜

Now solving 24 × ⅜:

24 is the same as 24/1 since 24 divided by 1 is 24.

Hence, the problem will be like this:

[tex]\frac{24}{1}\times\frac{3}{8}[/tex]

Multiply the numerators together (24 x 3 = 72) and multiply the denominators together (1 x 8 = 8) and make it into one fraction like so:

[tex]\frac{72}{8}[/tex]

Now we have to find the GCF: GCF = Greatest Common Factor;

The greatest common factor of 72 and 8 is 8.

Dividing the numerator and the denominator by its greatest common factor to get:

[tex]\frac{9}{1}[/tex]

Convert the improper fraction above to a whole number to get the answer:

[tex]\frac{9}{1}=9[/tex]

Hence, there are 9 oranges in Roland's basket.

As a result, [C] 9 is the correct answer.

Kavinsky~

x = 1.37 after solving the given equation.

So, the equation here is: 5x⁵ + 16 = 41

Now, solve the equation normally as follows:

Now, take the roots on both sides and solve as follows:

In decimal form:

Therefore, x = 1.37 after solving the given equation.

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Missing numbers are 30, 4, 30 and 300.

Equivalent fractions are those that, despite their visual differences, reflect the same value. You will have consumed half of a cake, for instance, if you have one, divide it into two equal pieces, and then eat one of the pieces. Two or more fractions that are equal despite having dissimilar numerators and denominators are said to be equivalent. Every time, the fraction is written as "one half" in its simplest form.

Given Data

20/?=?/6=10/?=?/900=8/12​

Fraction which is given

[tex]\frac{8}{12}[/tex]

= [tex]\frac{2}{3}[/tex]

As they are equivalent fraction, so their simplest form will be equal

Let the missing numbers be x

1) [tex]\frac{20}{x}[/tex]

= [tex]\frac{20}{30}[/tex]

2) [tex]\frac{x}{6}[/tex]

= [tex]\frac{4}{6}[/tex]

3) [tex]\frac{10}{x}[/tex]

= [tex]\frac{10}{30}[/tex]

4) [tex]\frac{x}{900}[/tex]

= [tex]\frac{600}{900}[/tex]

Missing numbers are 30, 4, 30 and 300.

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The function family sketched is exponential function.

From the graph, we can find certain values of the function for certain x-values.

When x = 0, the function has value 1.

When x = 2, the function has value 4

When x = 3, the function has value 8.

When x = 4, the function has value 16

From this we can identify the function as the exponential function, f(x) = eˣ

because e⁰ = 1. i.e., exponential function has value 1 when x = 0 which satisfy the sketch of the function given.

Also the other options given as piecewise function, linear function and quadratic function.

A piecewise function will not have a continuous sketch, but here the sketch of the function is continuous. So it cannot be a piecewise function. A linear function will have the sketch as a straight line, but here it is not. So it is not a linear function. The function values given in the sketch does not satisfy the quadratic function also.

So the only option is the sketch is of the exponential function.

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Rectangular garden has sides:

width, length, width, length

The perimeter is sum of all the 4 sides.

So, we can say:

84 = 2w + 2l

Where

w is width

l is length

Width is 19.5, so we find length:

84 = 2(19.5) + 2l

84 = 39 + 2l

2l = 45

l = 22.5 feet

Now, area is given by:

Area = length * width

Area = 22.5 * 19.5 = 438.75 sq. ft.

Answer: 52900 Naira

Step-by-step explanation:

1) Use the equation A = P(1+r/n)^nt

A = Ammount

(Starting Cash) P = 40,000

(Intrest rate) R = 15%

(Number of periods) n = N/A

(Time) t = 2

2) Make an equation

A = 40,000(1+15%)^2

3) Solve the equation.

A = 40,000(1+0.15)^2

A = 40,000(1.15)^2

A = 40,000(1.3225)

A = 52900

Answer:

hajajJzjzjzjzjzjzkzkzkzkzksk

eatmyass

The length of pipe required to produce a pitch of 220 Hz is 2.26 feet.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

The length of a pipe in a panpipe L, in ft, is inversely proportional to its pitch p, in hertz.

The inverse variation is modeled by the equation p = 497/L.

The length of pipe required to produce a pitch of 220 Hz,

= 497/220

= 2.26 feet

Therefore, the length is 2.26 feet.

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initial height = 6

Rate of growth = 3 inches per month

Table:

Month height 1

96+3(3) = 91

2 6 + 3 (2)=12

3 6+3 (3) = 15

Apply the formula:

H = H0 + rt

Where:

H0 = initial growth

r = growing rate

t= number of months

Replacing:

H(t) = 6 + (3 t)

ANSWER

10425

EXPLANATION

We want to multiply the numbers given by using product of parts.

To do this, we will split the number into hundred, tens and units. That is:

So that will be:

That is the answer.

Answer: -4/3

Step-by-step explanation:

[tex]\csc \theta=\frac{1}{\sin \theta}=\frac{1}{-3/4}=-4/3[/tex]

Answers:

================================================

Explanation:

Focus on (4,5) and (4,-4)

The input x = 4 leads to simultaneous outputs y = 5 and y = -4 at the same time. This is not allowed in a function. For a function to be possible, each input x must lead to exactly one y output.

Therefore, this given relation is not a function.

-----------

Domain = set of possible x inputs

Range = set of possible y outputs

The statement "An element from the domain is paired with more than one element from the range" basically means we have an x value paired with more than one y value. Therefore, this statement is true since I mentioned (4,5) and (4,-4) earlier.

Answer:

This answer is correct!

Answer:

(x / 8) + 4 = 9

Step-by-step explanation:

follow the instructions of the question and then write the values

Answer:

  120

Step-by-step explanation:

You want to find a number such that 50% of it is 60, using the formula R×B = A.

An amount is found by multiplying the rate by the base. That is described by the formula ...

  R × B = A

Here, we're given the amount and the rate, and we want to find the base. We can fill in the given numbers and solve for B.

  50% × B = 60

  B = 60/0.50 . . . . . . divide by the rate

  B = 120 . . . . . . . simplify

50% of 120 is 60.

Step-by-step explanation:

1/8, 2/8, 3/8, 4/8, etc...

The water pressure on a submerged object is given by P = 64d, then the value d is 10.5 feet.

a. D = P/64 is the solution to the formula's "d" subject.

b. The depth of a submerged object at a pressure of 672 pounds per square foot is 10. 5 feet.

A function can be defined as an expression, law or rule that shows the relationship between two variables.

Given the role as;

P = 64d

Where;

P stands for pressure in pounds per square foot.

The object's depth, d, is expressed in feet.

Now let's center the formula on the variable "d."

Both sides of the equation are divided by the variable "d64-based "'s coefficient. This is carried out so that the variable can stand on its own.

We have.

P/64 = 64d/64

d = P/ 64

If there is pressure, P is equivalent to 672 pounds per square foot.

When the value of the variable is inserted into the formula, we obtain;

d = P/64

Then,

d = 672/64

Discover the quotient.

d = 10. 5 ft.

Therefore,

The water pressure on a submerged object is given by P = 64d, then the value d is 10.5 feet.

a. D = P/64 is the solution to the formula's "d" subject.

b. The depth of a submerged object at a pressure of 672 pounds per square foot is 10. 5 feet.

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Givens.

• The diameter of the semi-circle is 9.25 yd.

• The other two sides of the triangle are 6.83 yd and 8.66 yd long.

First, find the perimeter of the semi-circle using the circumference formula.

Second, add the two sides of the triangle to the circumference of the semi-circle.

Answer:

I believe the first one

Step-by-step explanation:

Brainliest pls?

The equation of the perpendicular bisector of the line segment is y = - (1 / 2) · x - 2.

In this problem we find a line segment whose endpoints are known and we need to determine the equation of the line perpendicular such that the segment is partitioned into two segments of equal length. Now we present the procedure. First, determine the coordinates of the midpoint:

M(x, y) = 0.5 · (8, - 1) + 0.5 · (4, - 9)

M(x, y) = (6, - 5)

Second, determine the slope of the line segment:

m = [- 9 - (- 1)] / (4 - 8)

m = (- 8) / (- 4)

m = 2

Third, calculate the slope of the bisector:

m' = - 1 / m

m' = - 1 / 2

Fourth, determine the intercept of the bisector:

b = y - m' · x

b = - 5 - (- 1 / 2) · 6

b = - 5 + 3

b = - 2

The equation of the perpendicular bisector of the line segment is y = - (1 / 2) · x - 2.

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From the statement, we know that there are two possible scenarios:

A) Kira rolls the die and gets a face with a 1, 2, 3, 4, 5 or 6.

• The probability of this event is P(A) = 1/12.

• Kira will write the number of the face in this case.

B) Kira rolls the die and gets an edge.

• The probability for this event is 1/24.

• Kira will write the sum of the numbers that share the top edge.

• There are multiple values for the result of the sum.

We must take into account that:

• 1 and 5 are on opposite faces,

• 2 and 3 are on opposite faces,

• 4 and 6 are on opposite faces.

The possible values of the sum and the forms to get it are:

0. 3, = 1 + 2 → P(B'_1) = 1/24

1. 4, = 1 + 3 → P(B'_2) = 1/24

2. 5, = 1 + 4 → P(B'_3) = 2/24

3. 6, = 2 + 4 → P(B'_4) = 2/24

4. 7, = 1 + 6 = 2 + 5 = 3 + 4 → P(B'_5) = 3/24

5. 8, = 2 + 6 = 3 + 5 → P(B'_6) = 2/24

6. 9, = 3 + 6 = 4 + 5 → P(B'_7) = 2/24

7. 11, = 5 + 6 → P(B'_9) = 1/24

We have 8 possible results for the sum.

---------------------

Now, we want to know the value of the expected value of the numbers recorded by Kira.

By definition, the expected value is calculated by multiplying each of the possible outcomes by the likelihood that each outcome will occur and then summing all of those values.

The expected value of the number recorded by Kira will be:

Where:

• A_i represents the result of event A_i and P(A_i) its probability,

• B_i represents the result of event B_i and P(B_i) its probability.

Using the data from above, we compute each of the sums.

A) For the first sum, we take into account that each event A_i has the same probability:

B) For the second sum, we use each of the values of the sum and the probabilities of each sum:

Summing the results of each sum, we get the following result for the expected value:

The expected value for the number recorded is 137/24 or approximately 5.71.

(a) Amount of water in the first pool (In liters) = (817 + 19x) liters

Amount of water in the second pool (in liters) = 39x liters

(b) An equation to show when the two pools would have the same amount of water is 817 + 19x = 38x.

Given:

For the First Pool :

Initial amount of water in the Pool = 817 liters

Water is being added to the first pool at a rate of 19 liters per minute.

Amount of water added after x minutes = 19x

So, Total amount of water after x minutes = (817 + 19x) liters

For the Second Pool:

It was empty initially.

Water is being added to the second pool at a rate of 38 liters per minute.

Amount of water added after x minutes = 38x

So, Total amount of water after x minutes = 38x liters

Now to determine an equation to show when the two pools would have the same amount of water.

817 + 19x = 38x

38x - 19x = 817

19x = 817

x = 817/19

x = 43 minutes

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Given:

Charge for each repair = $75

Additional charge per hour = $42

The expression is used to calculate the total charge, in dollars, for each repair appointment:

75 + 42h

Let h represent the number of hours Susna works during an appointment.

To find the total charge if Susan works for 6 hours, substitute 6 for h in the expression and evaluate.

Thus, we have:

h = 6

75 + 42h

75 + 42(6) = 75 + 252 = 327

Therefore, the total charge in dollars if Susan works for 6 hours is = $327

ANSWER:

$327

Yes, these -1098.15 and -2,784.75 are rational numbers.

Rational number is the one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively

A rational number is the one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. Every integer (e.g., 5 = 5/1) and, for instance, the number 3/7 are rational numbers. Boldface Q, also known as blackboard bold, is typically used to signify the set of all rational numbers, also known as "the rationals," the field of rationals, or the field of rational numbers.

Real numbers are those that are sensible. The rational real numbers are those whose decimal expansion either ends after a finite number of digits (for instance, 3/4=0.75) or eventually starts to repeatedly repeat the same finite sequence of digits (9/44=0.204545454). This assertion is accurate not just in base 10, but also in every other integer base, such as the binary and hexadecimal ones

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at X= 0 the function f(x) = 2/6x^3 is not differentiable

Since 1/0 cannot be differentiated and the denominator will become zero when x=O, the function is not defined. Sharp points, cusps, and discontinuities in the graph indicate that a function is "not differentiable." Additionally, it implies that at that same location, we can draw an endless number of tangents. There is therefore no special tangent at that place. Even at x=0, the provided function is not defined. (If you plug in x=0, you get (1/0), which is undefined and leaves you with nothing to do.)) Only after a function is clearly defined at a certain moment do we discuss its continuation. And only if the function is continuous at the place do we talk about differentiability.

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Answer: [tex]f(x)=-4x+11[/tex] and [tex]f(x)=\frac{2}{3}x-8[/tex]

Step-by-step explanation:

All linear functions with unrestricted domains have a range of all real numbers.

Answer: y + 3 = 1 ⋅ (x + 2)

Step-by-step explanation:

The size of the shift from function f to function g is 12 units down

The table of values is given as

x 0 1 2 3 4

g(x) -11 -10 -8 -4 4

From the question, we understand that the function g(x) is an exponential function

The parent function of an exponential function in this case, is represented as

f(x) = 2^x

When represented on a table of values, we have

x 0 1 2 3 4

f(x) 1 2 4 8 16

So, we have

x 0 1 2 3 4

f(x) 1 2 4 8 16

g(x) -11 -10 -8 -4 4

Notice that the difference between the values of f(x) and g(x) is 12

This means that

g(x) = f(x) - 12

So, we have

g(x) = 2^x - 12

Hence, the size of the shift is 12 units down

See attachment for the graphs of f(x) and g(x)

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