Find the critical value Zc necessary to form a confidence interval at the level of confidence c=0.82 what does Zc=

Answer:

Step-by-step explanation:

Range is largest value - smallest value. 12-3=9! EZ

Answer: 560

Step-by-step explanation: i had this exact question on OW

Answer:

a₅₃ = 560

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 12 and d = a₂ - a₁ = - 1 - (- 12) = - 1 + 12 = 11 , then

a₅₃ = - 12 + (52 × 11) = - 12 + 572 = 560

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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sin30° = 1/2 = 5√2/b

b=5√2 ×2 = 10√2

tan60° = √3 = c/5√2

c=5×√2×√3

c =5√6

b = 10√2 , c = 5√6

Answer:

\(b=10\sqrt{2}\; \textsf{units}\)

\(c=5\sqrt6{}\; \textsf{units}\)

Step-by-step explanation:

The interior angles of the given right triangle are 30°, 60° and 90°.

This means it is a special 30-60-90 triangle.

The measures of the sides of a 30-60-90 triangle are in the ratio 1 : √3 : 2. Therefore, the formula for the ratio of the sides is x : x√3 : 2x where:

From inspection of the triangle, the measure of the shortest leg (the side opposite the 30° angle) is 5√2 units. Therefore, x = 5√2.

Side b is opposite the right angle, so it is the hypotenuse.

The hypotenuse is twice the length of the shortest leg. Therefore:

\(\begin{aligned}b&=2x\\&=2 \cdot 5\sqrt{2}\\&=10\sqrt{2}\; \textsf{units}\end{aligned}\)

Side c is opposite the 60° angle, so it is the longest leg of the triangle.

The longest leg is equal to the measure of the shortest leg multiplied by √3. Therefore:

\(\begin{aligned}c&=x\sqrt{3}\\&=5\sqrt{2} \cdot\sqrt{3}\\&=5 \sqrt{2\cdot3}\\&=5\sqrt6{}\; \textsf{units}\end{aligned}\)

In summary, the missing sides lengths b and c measure:

Answer:

x= b-a/2 + b+2/ t= u/2 (3- u^2

Step-by-step explanation:

It is calculated by increasing the number of partitions to double from 2 to N=2n.

In the case of non-analytic at endpoints of f(x), you can calculate by Midpoint rule.

In the case of a periodic function, you can calculate by Non-linear substitution in x.

Answer:

46x

Step-by-step explanation:

sry if its wrong have a good day/night:)

The increase in certain individuals leads to:

An increase in certain individuals within a bacterial population can lead to:

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Answer: I believe the answer is 6 miles.

Step-by-step explanation: Its states Cary hiked 18 miles in 6 hours. If you divide 18  by 6, you get the answer 3. This means that 6 multiplied by 3 will give you 18, so just do the same to the number 2. Two multiplied by 3 gives you 6.

Using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.

A probability is a numerical representation of the likelihood or chance that a specific occurrence will take place.

Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Simply put, probability is the likelihood that something will occur.

When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various outcomes.

So, we have the chart:

Penny = 2/5 = 0.4

Nickel = 1/5 = 0.2

Dime = 1/4 = 0.25

Then, the probability of getting a value of at least $0.10

P(E) = 3/3

P(E) = 1

Therefore, using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.

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In Southwest Direction, the left side of the graph of this function point.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

f(x)= \(x^{4}\)-x³+4x-2

it will not pass through the origin, as, f(0)=-2

It is a polynomial of degree four.

The function in question contains two genuine roots and two fictitious roots.

In the third quadrant and a small portion of the fourth quadrant, the left side of the function is located after drawing a line of symmetry. A line of symmetry is at approximately x=0.14.

Hence, In Southwest Direction, the left side of the graph of this function point.

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The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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Answer:

We have the function f(x) = 2x + 3

the processes which take place in this function are

we take x                         [x]

we multiply it by 2           [2x]

we add 3 to it                   [2x + 3]

To get the inverse of this function, we will do exactly the opposite of it

we will take the output of the initial function           [y]

we will subtract 3 from it                         [y-3]

we will divide it by 2                   [(y-3)/2]

We get the function:

\(f^{-1}\)(y) = (y-3) / 2

Inverse functions are used to get the initial value used in the function bu using the output of the function

\(f^{-1}\)(0) = (0-3)/2

\(f^{-1}\)(0) = -3/2

Therefore, the input of the function is -3/2 when the output is 0

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Step-by-step explanation:

Hey there!

Let the unknown slope be M2.

The given equation is;

15x + 12y = -144

From equation;

\(slope( m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} \)

\(m = \frac{ - 15}{12} \)

\(m = \frac{ - 5}{4} \)

For the condition of perpendicular lines;

\(m \times m2 = - 1\)

\( \frac{ - 5}{4} \times m2 = - 1\)

\( - 5m2 = - 4\)

\(m2 = \frac{ - 4}{ - 5} \)

Therefore, the slope is 4/5.

Hope it helps....

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

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

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

7.5 cm

Step-by-step explanation:

40:1

× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm

sorry if its incorrect

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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Answer:

22, Twenty Two

Step-by-step explanation:

A good way to look at multiplying 11 is that the number, if it’s under 10, will then be two of that number. For instance, 4 x 11 = 44, 6 x 11 = 66, and so on and so forth.

Hope This Helped!

Answer:

Algebra Examples

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Answer:

A

Step-by-step explanation:

\( \frac{6}{11} = \frac{84}{?} \\ = 154\)

Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.

Answer: 101

Step-by-step explanation: 1+5x20 then 100+1= 101

Answer:

can you take another picture its blurry

Step-by-step explanation:

If the table has a perimeter of 87 inches, the number of cans of stain that are needed to cover the table is: D. c = 360/50.

In Mathematics and Geometry, the area of a trapezoid can be calculated by using this mathematical equation (formula):

Area of trapezoid, A = ½ × (a + b) × h

Where:

From the perimeter formula, we have:

Perimeter = 32 + 14 + 13 + b₁

87 = 32 + 14 + 13 + b₁

b₁ = 87 - 32 - 14 - 13

b₁ = 28 in.

By substituting the given side lengths into the formula for the area of a trapezoid, we have the following:

Area of trapezoid, A = Area = ½ × (32 + 28) × 12

Area of trapezoid, A = 30 × 12

Area of trapezoid, A = 360 square inches.

The number of cans is given by;

c = 360/50.

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Complete Question:

The figure below is a diagram of a trapezoidal table that needs to be stained. Each can of stain will cover 50 square inches.

If the table has a perimeter of 87 inches, how many cans of stain are needed to cover the table?

Answer:

2880 ways

Step-by-step explanation:

There can be only one arrangement in which boys and girls can sit.

G-B-G-B-G-B-G-B-G

but position of individual boy and girls can be changed.

So, there are 5 girls and 5 slots for them that means they can be arranged in 5! ways,

similarly boys have 4 slots, so they can be arranged in 4! ways.

now, one more thing to consider is that out of 5! arrangements of girls, with each arrangement boys can be arranged in 4! different positions.

so to get the total number of boys and girls arrangements together we would need to multiply the arrangements of both boys and girls.

so the desired answer would be: 5!*4! = 120*24 = 2880 ways.

There are 2880 ways for 5 boys and 4 girls to be seated on a bench so that the girls and the boys occupy alternate seats.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to a variety of possible arrangements or orders. The arrangement's order is important when using permutations. A permutation is a way to arrange each component in the proper order. The combination is a choice of components from a group.

Given There are 5 girls and 4 boys needed to be seated on the bench so that boys and girls occupy alternate seats.

There can only be one seating arrangement for boys and girls.

G-B-G-B-G-B-G-B-G

However, the location of each boy and girl can be adjusted individually.

Girls can be ordered in 5 ways since there are 5 slots available for them, and boys can be placed in 4 ways because there are 4 slots available for them. There is also the fact that boys can be put in 4! distinct positions for each of the 5! configurations of girls.

Therefore, we would need to multiply both the boys' and girls' arrangements in order to determine the total number of boys' and girls' arrangements.

Therefore, 5!*4! = 120*24  or 2880 ways would be the desired response.

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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The result of  the expression 2 + 5^3 is 127.

To solve the expression 2 + 5^3, you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

In this case, the exponentiation should be performed first.

Step 1: Calculate 5^3

5^3 means raising 5 to the power of 3, which is equivalent to multiplying 5 by itself three times: 5 * 5 * 5 = 125.

Step 2: Add 2 to the result from Step 1.

2 + 125 = 127.

Therefore, the result of 2 + 5^3 is 127.

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The base of the solid - call it B - is the set of points

B = {(x, y) : 0 ≤ x ≤ 1 and x ⁴ ≤ y ≤ 1}

Recall the area of a circle with radius r is πr ²; in terms of the diameter d = 2r, the area is π (d/2)² = π/4 d ². Then the area of a semicircle with the same diamater is half of this, π/8 d ².

Cross sections of the solid in question are semicircles arranged perpendicular to the x-axis, which means the diameters of each cross section corresponds to the vertical distance between y = x ⁴ and y = 1 for any given values of x between 0 and 1. So d = 1 - x ⁴, which makes the area of each cross section come out to π/8 (1 - x ⁴)².

Split up the solid into very thin cross sections with "base" area π/8 (1 - x ⁴)² and thickness ∆x. Take the sum of these half-cylinders' volumes, then let ∆x converge to 0. In short, we get the total volume by integrating,

\(\displaystyle \int_0^1\frac\pi8(1-x^4)^2\,\mathrm dx = \frac\pi8\int_0^1(1-2x^4+x^8)\,\mathrm dx = \boxed{\frac{4\pi}{45}}\)

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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