please help this is so important and i need it now

Answer:

d

Step-by-step explanation:

Answer:

answer D is correct maybe that help

The test statistic (1.407) is less than the critical value (1.645), we failed to reject the null hypothesis.

What is Proportion?

A proportion is an equation that defines that two given ratios are equivalent to each other. In other words, a ratio indicates the equality of two fractions or ratios.

A. To determine the sample proportion, we divide the number of individuals who reported using the Internet to download music by the total sample size:

Sample proportion = Number of users who download music / Total sample size

= 286/550

≈ 0.5207

Thus, the sample proportion is approximately 0.5207.

b. In order to perform a one-proportion z-test, we must check the conditions:

Random sample: The survey states that the sample is 550 Gen Y web users, assuming it was a random sample.

Independence: We assume that the responses of one site user do not affect the responses of other site users.

Sample size: Both np and n(1 - p) should be at least 10, where n is the sample size and p is the predicted proportion. In this case, np = 550 * 0.5207 ≈ 286.1335 and n(1 - p) = 550 * (1 - 0.5207) ≈ 263.8665. Both values ​​are greater than 10, so the condition is met.

Now we can perform a hypothesis test:

Null Hypothesis (H₀): The proportion of Gen Y web users who use the Internet to download music is equal to 0.5 (or 50%).

Alternative Hypothesis (H₁): The proportion of Gen Y web users who use the Internet to download music is greater than 0.5.

We will use a significance level of 0.05.

We can calculate the test statistic using the formula:

z = (sample proportion – predicted proportion) / sqrt[(hypothesized proportion * (1 – predicted proportion)) / n]

Enter the values:

z = (0.5207 - 0.5) / sqrt[(0.5 * (1 - 0.5)) / 550]

≈ 1.407

We can now find the critical value for a one-sided test at the 5% significance level. When we look up the z-value in a standard normal distribution table, we find that the critical value is approximately 1.645.

Since the test statistic (1.407) is less than the critical value (1.645), we failed to reject the null hypothesis. Therefore, the data does not provide sufficient evidence to conclude that the majority of Gen Y web users use the Internet to download music at the 5% significance level.

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There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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Answer:

yes

Step-by-step explanation:

Answer:

53/20

Step-by-step explanation:

First convert 3 2/5 into 17/5

Now we need a like denominator for both fractions

20 works

lets convert 17/5 into 68/20

and 3/4 can turn into 15/20

68/20 - 15/20

53/20

Answer:     53/20   or   2  13/20

Step-by-step explanation:

hope this helps

Answer:

2/3

Step-by-step explanation:

Simplify the numerator

(2x) ^3 = 8 x^3

8x^3 * 3x = 24 x^4

Simplify the denominator

(6x^2) ^2 = 36 x^4

Simplify the fraction

24x^4/ 36 x^4 =

24/36 = 2/3

x^4/x^4 =1

The fraction is 2/3  when x does not equal 0

Answer:

157.08 ft

Step-by-step explanation:

R = 20+5 = 25

Circumfrence = 2*pi*r = 2*pi*25 = 157.079 ft

Answer:

rly? the answers (C) -35

Step-by-step explanation:

a would the compound inequality have infinite solutions if a = 4

x < 4 AND x > a.

if a = 4 and we use an "or" instead of the "and" we have:

x < 4 or x > 4.

This is:

"x is larger than 4 or smaller than 4."

Then the solution of this is all the real numbers except the value x = 4.

The set of solutions can be written as:

{xI x ∈ R  \ [4]}

Where this reads:

"x belongs to the set of the reals minus the number 4".

Or we also could write it as:

x ∈ (-∞, 4) ∪ (4, ∞)

Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.

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The percentage of people who test positive and have the disease is 9.6 / 30.3 = 31.7%. Hence, the answer is 31.7% which can be rounded off to 32%.Note: I have provided a detailed answer that is less than 250 words.

The reliability of a Covid-19 test is as follows: Of people having Covid-19, 96% of the test detect the disease but 4% go undetected. Of the people free of Covid-19, 97% of the tests detect the disease, but 3% are false positives. What percentage of the people who test positive will actually have the disease?

The people who test positive would be divided into two categories: Those who actually have the disease and those who don't.The probability that someone tests positive and has the disease is 0.96, and the probability that someone tests positive and does not have the disease is 0.03.Suppose that 1000 people are tested, and 10 of them have the disease.The number of people who test positive is then 0.96 × 10 + 0.03 × 990 = 30.3.What percentage of the people who test positive have the disease?30.3% of the people who test positive have the disease.

This is calculated by dividing the number of people who test positive and actually have the disease by the total number of people who test positive. The number of people who test positive and actually have the disease is 0.96 × 10 = 9.6.

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Step-by-step explanation:

Option D

As time increases, the temprature of soup decreases..

hope it helps

Find completion to question in comment section.

Answer:

D. One of the jellybeans that slipped out was orange and one was black

Step-by-step explanation:

We calculate the option with the highest probability of occurrence :

Total number of jellybean = 75

n(T) =75

n(Pink) = 8

n(red) = 22

n(Orange) = 17

n(green) = 8

n(white) = 6

n(black) = 4

We assume that the jelly beans must have slipped out one after the other.

Evaluating the options :

A.)

P(pink) and P(white)

8/75 * 6/74 = 0.0086486

B.)

P(green) and P(green)

8/75 * 7/74 = 0.0100900

C.)

P(white) and P(white)

6/75 * 5/74 = 0.0054054

D.)

P(orange) and P(black)

17/75 * 4/74 = 0.0122522

From the probability values obtained, the highest is D. Hence, the most likely to have occurred is One of the jellybeans that slipped out was orange and one was black

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)

Let us find the dual of the above primal problem.

Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)

and\($y_1, y_2, ..., y_m \geq 0$\)

(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)

Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)

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We have the next information

First type of chocolate $2.50 per lb

Second type of choclate 8.50 per lb

x= lbs of the cheaper chocolate

y=lbs of the expensive chocolate

36 total pounds

x+y=36

2.50(x)+8.50(y)=36(6.40)

2.5x+8.5y=230.4

then we solve the equation system

x+y=36 .....(1)

2.5x+8.5y=230.4 ....(2)

we clear x from the first equation

x=36-y

we substitute the equation above in the second equation

2.5(36-y)+8.5y=230.4

90-2.5y+8.5y=230.4

we clear y

6y=230.4-90

6y=140.4

y=140.4/6

y=23.4

then we substitute the value of y in the next equation

x=36-y=36-23.4

x=12.6

you will need 12.6 lbs of the cheaper chocolate and 23.4 lbs of the expensive chocolate

Answer:

A) the set of integers is commutative under operation '-'

The commutative property holds for Addition and Multiplication, but not for subtraction and division.

So, option (D) is correct.

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

The commutative property holds for Addition and Multiplication,

Example,   \(2+4=4+2\)

                  \(3*2=2*3\)

The commutative property does not  holds for subtraction and division.

Example,       \(3-2\neq 2-3\)

                    \(4/2\neq 2/4\)

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Answer:

1. x =−3, -4, -5  

2. x= 3/4, 1 1/3

Answer:

There are no values of   y

that make the equation true.

No solution

The value of the function at x = 4 is 8.79.

Tangent line approximation is the approximation of any function using a linear function. It is also called as linear approximation.

It allows us to approximate the value of a general function with a more simpler linear function.

Given that,

f(1) = 2

f'(x) = \(\sqrt{x^{2} +2cos x + 3}\)

We have the formula for linear approximation as,

f(x) = f(a) + f'(a) (x - a)

Here x = 4 and a = 1

f(a) = f(1) = 2

f'(a) = f'(1) = \(\sqrt{1^{2} +2cos 1 + 3}\) = 2.254

Substituting,

f(4) = 2 + (2.254) (4 - 1)

     = 8.762 ≈ 8.79

Hence the value of f(4) is 8.79.

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Answer:

a)   Length of the parking lot: 98 m

b)   Width of the pool: 89 m

Step-by-step explanation:

a)   The formula for the area of a rectangle is \(A=lw\).

We need to evaluate the length. Lets solve for \(l.\)

\(A=lw\)

Divide both sides of the equation by \(w\).

\(\frac{A}{w} =l\)

We are given

\(A=8428\\w=86\)

Lets evaluate \(l\).

\(\frac{8428}{86}=l\)

\(l=98\)

b)   The formula for the perimeter of a rectangle is \(P=2l+2w\).

We need to evaluate the width. Lets solve for \(w\).

\(P=2l+2w\)

Subtract \(2l\) from both sides of the equation.

\(P-2l=2w\)

Divide each term by 2.

\(\frac{P}{2} -\frac{2l}{2} =\frac{2w}{2}\)

Simplify.

\(w=\frac{P}{2}-l\)

We are given

\(P=376\\l=99\)

Lets evaluate \(w\).

\(w=\frac{376}{2}-99\)

\(w=188-99\)

\(w=89\)

Answer:

a) 98m , b) 89m

Step-by-step explanation:

(a) Given,

To Find : Length of the Parking lot

Length of a rectangle shape can be derived by the formula,

\(l = \frac{A}{w}\)

\(l = \frac{8428}{86}\)

\(l = 98m\)

Hence , the length of a rectangular parking lot is 98m

(b) Given ,

To Find : The width of the rectangular pool

We take the width as variable 'x'

Now we plug it into the perimeter of a rectangle equation

\(376 = 2(99 + x)\)

Using distributive property we,

\(376 = 198 + 2x\)

We now flip the equation

\(2x + 198 = 376\)

\(2x = 376 - 198\) ( Transposing into the right hand side)

\(2x = 178\)

\(x = \frac{178}{2}\)

\(x = 89\)\(m\)

Hence , the width of the rectangular swimming pool is 89m

The percentage of rural neighborhoods in the county is 37.5%.

A percentage is a way of expressing a number as a fraction of 100. For example, if we say that 50% of a class is girls, we mean that 50 out of 100 students are girls.

Now, let's go back to the problem. We are given that the ratio of urban to rural neighborhoods is 5:3. This means that for every 5 urban neighborhoods, there are 3 rural neighborhoods. We can think of this ratio as a fraction:

urban neighborhoods/rural neighborhoods = 5/3

To find the percentage of rural neighborhoods, we need to express the number of rural neighborhoods as a fraction of the total number of neighborhoods in the county. Let's say that there are 8 neighborhoods in total (5 urban and 3 rural). Then, the fraction of rural neighborhoods would be:

rural neighborhoods/total neighborhoods = 3/8

To express this fraction as a percentage, we need to multiply it by 100:

(rural neighborhoods/total neighborhoods) x 100 = (3/8) x 100 = 37.5%

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Answer:

Fast

Step-by-step explanation:

You told me "Please answer fast." ;-;

The game was originally priced at £48, but after a \(\frac{1}{3}\) decrease in price, it was reduced to £32.

To solve this problem, we need to work backwards from the reduced price of £32 to determine the original price of the game before the decrease.
If the game was reduced in price by \(\frac{1}{3}\), then this means that the new price is \(\frac{2}{3}\) of the original price.
We can set up an equation to represent this relationship:
\(\frac{2}{3} x = 32\)
To solve for \(x\) (the original price), we can multiply both sides of the equation by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\):
\(\frac{3}{2}\) × \(\frac{2}{3} x\) = \(\frac{3}{2}\) × \(32\)
\(x = 48\)
Therefore, the original price of the game was £48.

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Answer:

In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x.

Step-by-step explanation:

The solution of the absolute equation |18 + 27| is 45 or -45

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

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Given the operation |18 + 27|, hence:

|18 + 27| = (18 + 27) and -(18 + 27) = 45 and -45

The solution of the absolute equation |18 + 27| is 45 or -45

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To find the 60th percentile for the given set of data (0, 2, 3, 5, 5, 6, 8, 10, 10, 11, 12, 14, 16), the answer is 8.4.

To determine the 60th percentile, we need to arrange the data in ascending order. The ordered set of data is: 0, 2, 3, 5, 5, 6, 8, 10, 10, 11, 12, 14, 16.

To find the 60th percentile, we need to calculate the position of the value within the data set. Since the percentile represents the percentage of values below a certain point, we can calculate the position using the formula: (p/100) * (n + 1), where p is the percentile and n is the total number of data points.

For the 60th percentile, the calculation would be: (60/100) * (13 + 1) = 7.2. Since the position is not an integer, we can interpolate between the values. The value at the 7th position is 8, and the value at the 8th position is 10. By interpolating, we find that the 60th percentile is 8 + 0.2 * (10 - 8) = 8.4.

Therefore, the 60th percentile for the given set of data is 8.4.

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12 terms are in an arithmetic sequence.

What comprises an arithmetic series?

A group of integers that are arranged in a particular order and share a difference between each term is known as an arithmetic sequence.

            For instance, the common difference between the numbers 3, 9, 15, 21, and 27 in mathematics is 6. The term "arithmetic progression" can refer to an arithmetic sequence.

a = 6,

d = -3,

last term, l = -45

a + (n - 1)*d

45 = a + (n - 1)d

45 = 6 + (n -1)-3

45 - 6 = -3(n - 1)

39 = -3(n - 1)

-3(n - 1) = 39

n - 1 = -39/3

n - 1 = -13

n = -13 + 1

n = - 12

There are 12 terms.

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