A parachutist has made thousands of successful jumps. His assumption is that when he pulls the rip cord, that parachute will open.

What are the null and alternative hypothesis?

Describe a Type I error along with the consequence.

Describe a Type II error along with the consequence.

What is a more serious error in this context? Justify your answer.

Most parachutes have a backup in case the ripcord malfunctions. Does the guard against Type I or Type II errors? Explain.

Suppose you went skydiving and pull the ripcord and it does not function. You have time to pull it again or pull the back up but not both. What would you do?

The equation that describes the relationship between y and x is y = 30/(∛x).

Let's start by assigning the variables to their given values. We have y, which represents the dependent variable, and x, which represents the independent variable. We are told that y varies inversely with the cube root of x. Mathematically, we can express this relationship as:

y = k/(∛x)

In this equation, k represents the constant of variation. The constant of variation is a fixed value that relates the dependent variable (y) and the independent variable (x) in an inverse relationship. The cube root (∛) of x ensures that the relationship is inverse.

To find the specific equation that relates y and x, we need to determine the value of the constant of variation (k). We are given a specific point on the graph, where x = 216 and y = 5. We can use these values to solve for k.

Substituting the given values into the equation:

5 = k/(∛216)

To simplify this equation, we need to evaluate the cube root of 216:

∛216 = 6

Now we can substitute this value back into the equation:

5 = k/6

To solve for k, we can multiply both sides of the equation by 6:

5 * 6 = k

30 = k

Now we have determined the value of the constant of variation, k, which is 30. With this value, we can rewrite the equation that describes the relationship between y and x:

y = 30/(∛x)

This equation represents the inverse variation between y and the cube root of x. As x changes, y will vary inversely with the cube root of x, with the constant of variation, k, equal to 30.

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Complete Question:

Write an equation describing the relationship of the given variables.

y varies inversely as the cube root of x and when x = 216, y = 5.

The decimal equivalent of 1101.011 in base 7 is 343.14300.

The decimal system is a base 10 numbering system that is widely used in everyday life.

To convert 1101.011 from base 7 to decimal, we need to start by converting the whole number portion of the value. 1101 in base 7 is equivalent to

=> 1 x 7³ + 1 x 7² + 0 x 7¹ + 1 x 7⁰ = 343

Next, we need to convert the fractional portion of the value. The fraction 0.011 in base 7 is equivalent to

=> 0 x 7⁻¹ + 1 x 7⁻² + 1 x 7⁻³ = 0.143

Finally, we add the decimal equivalent of the whole number portion and the fractional portion to find the decimal equivalent of 1101.011 in base 7.

=> 343 + 0.143 = 343.143,

which is the decimal equivalent of 1101.011 in base 7.

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To find the aread of such construct, the first thing to do is to split the shape into 2 parts.

The area of the Shape A = 3 x 3 = 9 inch squared

The area of the Shape B = 9 x 2 = 18 inch squared

The total area = 18 + 9 = 27 inch squared

X = -6

because of the picture attatched you can further calculate it to x = -2 over 3... or -6. Thanks :-)

The values of the function S(n) for the given numbers are:

(a) S(7) = 8

(b) S(9) = 13

(c) S(35) = 48

To find the value of the function S(n), which represents the sum of the positive divisors of a positive integer n, we can calculate the sum of all the divisors of each given number.

(a) S(7):

The positive divisors of 7 are 1 and 7. Thus, S(7) = 1 + 7 = 8.

(b) S(9):

The positive divisors of 9 are 1, 3, and 9. Therefore, S(9) = 1 + 3 + 9 = 13.

(c) S(35):

The positive divisors of 35 are 1, 5, 7, and 35. Hence, S(35) = 1 + 5 + 7 + 35 = 48.

So, the values of the function S(n) for the given numbers are:

(a) S(7) = 8

(b) S(9) = 13

(c) S(35) = 48

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Fix(2.5) is equal to 1. The expected value of X (E(X)) is equal to 13/36. P(X > 0.3 and X < 0.6) is equal to 0.432.

A continuous random variable X has a probability density function (pdf) given by:

fix (x) = {x² + 4/3 x if 0 < x < 1

0 otherwise. Let's solve the questions step-by-step: To find the cumulative distribution function (CDF) Fix(t) of X, we integrate the pdf from 0 to t. To find Fix(-3), we integrate the pdf from 0 to -3, which is not possible since -3 is outside the valid range of x (0 < x < 1). Therefore, Fix(-3) does not exist. To find Fix(0.6), we integrate the pdf from 0 to 0.6:

∫(0 to 0.6) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 0.6)

= (1/3 × 0.6³ + 2/3 × 0.6²)

= 0.432.

Therefore, Fix(0.6) is equal to 0.432. To find Fix(2.5), we integrate the pdf from 0 to 1 (since the valid range of x is 0 < x < 1):

∫(0 to 1) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 1)

(1/3 × 1³ + 2/3 × 1²) = 1.

Therefore, Fix(2.5) is equal to 1. To find the expected value of X (E(X)), we need to integrate x times the pdf from 0 to 1:

E(X) = ∫(0 to 1) x × (x² + 4/3 x) dx.

Simplifying the integral:

E(X) = ∫(0 to 1) (x³ + 4/3 xv) dx

= [1/4 x⁴ + 4/9 x³] (0 to 1)

= (1/4 × 1³ + 4/9 × 1³)

= 13/36.

Therefore, the expected value of X (E(X)) is equal to 13/36. To find P(X > 0.3 and X < 0.6), we need to use the definition of conditional probability:

P(X > 0.3 and X < 0.6) = P(X < 0.6) - P(X < 0.3).

Using the CDF we obtained earlier, we have:

P(X > 0.3 and X < 0.6) = Fix(0.6) - Fix(0.3)

= 0.432 - 0

= 0.432.

Therefore, P(X > 0.3 and X < 0.6) is equal to 0.432.

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Answer:

1 / 8², B

Step-by-step explanation:

8 / 8³

8³ = 8*8*8

So, the equation can also be written as:

8 / 8*8*8

divide the numerator and denominator by 8.

1 / 8*8

This is equal to:

1 / 8²

The answer is B.

The t-distribution can be used to construct confidence intervals of means when the sample size is more than 30 or when the population's distribution is unknown. the sample size is greater than 30, and the population's distribution is unknown.

The 95% confidence interval can be calculated using the theory-based inference applet:For a 95% confidence interval, the value o\(f t=2.03The 95%\)confidence interval for the average diameter of needles produced by the manufacturing process is(1.614,1.666)c. Since the confidence interval includes 1.65, there is no evidence that the average diameter of needles produced by this manufacturing process is different from 1.65mm.

If the average diameter was 1.65mm, we would anticipate observing data in the interval we just created 95% of the time. As a result, we cannot reject the hypothesis that the average diameter of needles produced by the manufacturing process is different from 1.65mm since the confidence interval contains 1.65mm.

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Answer:

See answer below

Step-by-step explanation:

In this case, we can assume that this function follows a linear function. In this case, the general expression would be:

y = a + bx

Where:

a: Y intercept

b: slope of the function

To get the slope we need to apply the following expression:

b = y₂ - y₁ / x₂ - x₁

We already have two points, (80,0) and (40,16) from here, we can determine the slope:

b = 16 - 0 / 40 - 80

b = -16/40

b = -2/5

Now that we know the slope, we can determine the y-intercept if it have:

a = y - bx

Using any point, we can calculate it:

a = 0 - (-2/5*80)

a = 0 + 160/5

a = 32

With these two values, we can write the function:

Hope it helps

Answer:

m = undef

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

Point (-4, -16)

Point (-4, -5)

Step 2: Find slope m

Answer:

11 and 12

Step-by-step explanation:

11^2<139

but

12^2>139

therefore

it lies between 11 and 12

Answer:

Just count the unit squares

Step-by-step explanation:

If you learn this they may call u dumb but if your beginner then count the squares

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Actual length of rectangular bedroom = 5m

Actual width of rectangular bedroom = 3m

Scale = 1 to 50

Scaled length of bedroom = 5m/50 = 0.1m = 0.1 * 100= 10cm

Scaled width of bedroom = 3m/50 = 0.06m = 0.06 * 100= 6cm

If width of door = 0.8m wide

Scaled width of door : 0.8m/50 = 0.016m = 0.016 * 100 = 1.6cm

Bed measures : 4cm by 3cm on scale drawing ;

Actual bed dimension:

4cm * 50 = 200cm ; 200/ 100 = 2m

3cm * 50 = 150cm ; 150 / 100 = 1.5m

1) The area of the garden is 12 square feet.

2) Sandy will need 4 bags of fertilizer to cover her garden.

In this question we have been given that Sandy has a garden in her backyard.

From given figure we can see that the dimensions of her triangular garden:

base = 4 ft. and height = 6 ft.

We need to find the area of her garden.

Using the formula of area of triangle,

A = 1/2 * base * height

A = 1/2 * 4 * 6

A = 2 * 6

A = 12 square feet

Given that a bag of fertilizer covers 3 square feet.

We need to find the number of bags of fertilizer Sandy will need to cover her garden.

1 bag of fertilizer covers 3 square feet.

Let x bags of  fertilizer covers 12 square feet.

By unitary method,

x = 12/3

x = 4

So, 4 bags will need to cover her garden.

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Answer:

Answer is below

Step-by-step explanation:

How many bags of fertilizer will Sandy need to cover her garden?

The area of the garden is

✔ 12

feet2.

Sandy will need

✔ 4

bags of fertilizer to cover her garden.

Answer:

cxa=t cause you are mulltipling to find the total cost

Answer:

Step-by-step explanation:

A child´s ticket costs $4 and adults ticket costs $8. If we want one of each we need to add both numbers together, 4 plus 8 equals 12. The total cost of a child ticket and an adult ticket is $12.

The questions asked to write an equation; the equation would be:

C+A=T  it could also be written as A+C=T,  T=A+C or T=C+A.

There are a total of binom n2 binom n-21 + binom n3 possible committees with at least 2 secretaries.

Assume that there are n total secretaries employed by the business.

Either we can select 2 secretaries and 1 non-secretary member, or we can select all 3 members to be secretaries in order to form a committee with at least 2 secretaries.

Out of n, there are binom n2 ways to select two secretaries, and binom n-21 ways to select a non-secretary member from the remaining n-2 non-secretaries.

This means that there are binom n ways to form a committee with 2 secretaries and 1 non-secretary member.

There are binom ways to select each of the three members to serve as a secretary.

There are a total of binom n2 binom n-21 + binom n3 possible committees with at least 2 secretaries.

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The probability for the given mean and standard deviation with X is less than 53.0 is equal to 0.0401 or 4.01%  approximately.

Mean 'μ' = 60.0

Standard deviation 'σ' = 4.0.

To find the probability that X is less than 53.0,

Use the standard normal distribution.

First, standardize the value of 53.0 using the mean and standard deviation ,

The standardization formula is,

Z = (X - μ) / σ

Where,

Z is the standardized value (Z-score)

X is the value of interest

μ is the mean

σ is the standard deviation

Plugging in the values,

Z = (53.0 - 60.0) / 4.0

⇒Z = -7 / 4

⇒Z = -1.75

Now, the probability associated with this standardized value using a standard normal distribution calculator.

Using a standard normal distribution calculator,

The probability corresponding to Z = -1.75.

The area under the curve to the left of the Z-score.

The probability of X being less than 53.0 can be found as P(X < 53.0) = P(Z < -1.75).

The Z-score -1.75 in the standard normal distribution calculator, the probability is approximately 0.0401.

Therefore, the probability that X is less than 53.0 is approximately 0.0401 or 4.01%.

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The above question is incomplete, the complete question is:

The mean is μ = 60.0 and the standard deviation is σ = 4.0.

Find the probability that X is less than 53.0.

0.0401

0.0802

0.9599

0.5589

Answer:

the answer is 7/12..

thank u

The best fit for explaining the growth of this particular function is option 3, polynomial.

A polynomial function is a function that can be expressed in the form of f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x + a0, where n is a non-negative integer and a0, a1, a2, ..., an are constants.

In this case, the function is 2n³, which can be expressed as f(n) = 2n³ + 0n² + 0n + 0. This is a polynomial function of degree 3, which means it is a cubic function.  ( 3)

Constant functions have the form f(x) = c, where c is a constant. Exponential functions have the form f(x) = abx, where a and b are constants and b is positive.

Linear functions have the form f(x) = mx + b, where m and b are constants. None of these functions match the form of the given function, so the best fit for explaining its growth is a polynomial function.

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Answer:

0.000456 in scientific notation

= 4.56 × 10-4

Step-by-step explanation:

Can I have brainliest?

0.000456 in scientific notation is 4.56 × 10-4

Answer:

a question was smarter

Step-by-step explanation:

but we cant help u with the scatter plot use desomos

a) The area of the square is 1, so the result is ∮c F · T ds = 3.

b)  Using Green's theorem,  the answer is $cFinds∮c F · ds = 28/3.

To apply Green's theorem, we need to find the curl of F:

curl F = (∂Q/∂x - ∂P/∂y)k

where P = x^2 + 4y and Q = x + y^2.

So, ∂Q/∂x = 1 and ∂P/∂y = 4. Therefore, curl F = (4 - 1)k = 3k.

(a) By Green's theorem,

∮c F · T ds = ∬R (curl F) · k dA,

where R is the region enclosed by the square C and T is the unit tangent vector to C oriented counterclockwise.

Since curl F = 3k, the double integral reduces to

∬R 3 dA = 3(area of R).

The area of the square is 1, so the result is ∮c F · T ds = 3.

(b) By Green's theorem,

∮c F · ds = ∬R (curl F) · n dA,

where n is the unit outward normal vector to C.

Since curl F = 3k, the double integral reduces to

∬R 3z dA,

where z is the z-coordinate of the point (x,y,z) on the surface z = 10 - x^2 - y^2 above the square C.

The region R is a square in the xy-plane, so we can integrate over x and y from 0 to 1:

∬R 3z dA = 3∫0^1∫0^1 (10 - x^2 - y^2) dxdy

= 3(10 - 2/3) = 28/3.

Therefore, ∮c F · ds = 28/3.

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\(\large\boxed{\tt Answer:~2\pi ~or~around~6.283~units}\)

\(\tt Step-by-step~explanation:\)

The equation for finding the circumference of a circle:

If the radius of this circle is 1, then that means the diameter is 2. We multiply 2 by π to get our answer: 2π or approximately 6.283.

Answer:

57

Step-by-step explanation:

getting brainlys

Answer:

d

Step-by-step explanation:

The solution to the limits (a) and (b) are 24 and 4 respectively.

Given

lim f(x)=8

lim g(x)=-2

lim h(x)=0

Using the properties of limits and basic arithmetic operations, we can find the limit of the following:

(a) \(\lim_{x \to \ 3} [2f(x) - 4g(x)]\)

We can apply the properties of limits to each term separately:

lim [2f(x)] - lim [4g(x)] as x approaches 3.

Using the given information:

2 * lim f(x) - 4 * lim g(x) as x approaches 3.

Substituting the known limits:

2 * 8 - 4 * (-2) = 16 + 8 = 24.

Therefore, lim [2f(x) - 4g(x)] as x approaches 3 is equal to 24.

(b) \(\lim_{n \to \ 3} [2g(x)^{2} ]\)

We can apply the property of limits to the entire expression:

[lim (2g(x))]² as x approaches 3.

Using the given information:

[lim g(x)]² as x approaches 3.

Substituting the known limit:

(-2)² = 4.

Therefore, lim [2g(x)]² as x approaches 3 is equal to 4.

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Answer:ty for the points

Step-by-step explanation:

Answer:

answer is 10000

Step-by-step explanation:

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