Calculate 3 over 4 ÷ 5 1 fifth

Answer:

9/8 (1.125 as a decimal)

Step-by-step explanation:

-2/-16/9 = -(-18/16) = -(-9/8) = 9/8 :)

Answer:

Step-by-step explanation:

\(\sqrt{}\)A ^ 2 + B ^2 = C ^2 for hypotenuse

20^2 + 5^2 = C

400+25 = 425

\(\sqrt{425}\) = 20.61

20.61 is hypotenuse.

X = 180 - 20.61 = 159.39

Hope that helps

Answer/Explanation:

I agree with the statement because primary function of chemical nomenclature is to ensure that a spoken or written chemical name leaves no ambiguity concerning which chemical compound the name refers to: each chemical name should refer to a single substance.  The first separation of importance is to distinguish between inorganic and organic compounds.

Integrating x²ln(x²) using integration by parts by taking u = ln(x²) and dv = dx, then we have - x² / 2 + x² ln(x²) / 2 + C. Therefore, the integral of In(x²) dx is equal to - x² / 2 + x² ln(x²) / 2 + C.

In order to solve the given integral using integration by parts, take u = ln(x²) and dv = dx.

Therefore, du / dx = 2 / x, and v = x.

The formula of integration by parts is given below:

∫ u dv = uv - ∫ v du

Now, putting the values of u and v, we get:

∫ ln(x²) dx = x ln(x²) - ∫ x (2 / x) dx

= x ln(x²) - 2 ∫ dx= x ln(x²) - 2x + C

Therefore, the integral of In(x²) dx is equal to - x² / 2 + x² ln(x²) / 2 + C.

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A scatter plot is used to visualize sample data graphically and to draw preliminary conclusions about the possible relationship between the variables.

A scatter plot is used to visualize sample data graphically and to draw preliminary conclusions about the possible relationship between the variables. It is a type of mathematical diagram that utilizes Cartesian coordinates to display values for typically two variables for a set of data.

The data is displayed as a collection of points, each with the value of one variable determining the position on the horizontal axis and the value of the other variable determining the position on the vertical axis. Scatter plots are extremely useful when there are a large number of data points.

Summery:A scatter plot is used to visualize sample data graphically and to draw preliminary conclusions about the possible relationship between the variables.

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Answer:

4000 millilitres

Step-by-step explanation:

She brought 32 L of water to the football game and divided the water equally between 8 coolers.

Therefore, cooler will have:

32 / 8 = 4 L

1 litre = 1000 millilitres

4 litres = 4 * 1000 = 4000 millilitres

Each cooler will have 4000 millilitres.

The observed frequencies are variables as they vary from sample to sample. The expected frequencies are not variables as they are determined by the sample size and the distribution in the null hypothesis.

The observed frequencies are variables because they can vary from sample to sample.

In statistical analysis, observed frequencies represent the actual frequencies or counts of events or occurrences observed in a sample.

These frequencies are obtained through data collection and can differ between different samples due to random sampling variability.

Therefore, the observed frequencies are considered as variables that can change from one sample to another.

On the other hand, the expected frequencies are not variables. They are determined by the sample size and the distribution assumed in the null hypothesis.

Expected frequencies are the frequencies that would be expected under the assumption of a particular statistical model or hypothesis.

These frequencies are calculated based on the expected proportions or probabilities predicted by the null hypothesis and the sample size.

Once the sample size and the distribution in the null hypothesis are determined, the expected frequencies become fixed values and do not vary across different samples.

They provide a baseline against which the observed frequencies can be compared to assess the agreement between the observed data and the expected distribution.

In summary, the observed frequencies are considered variables as they vary from sample to sample, while the expected frequencies are not variables but are determined by the sample size and the distribution assumed in the null hypothesis.

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No, there is significant difference in the use of e readers by different age groups.

Given sample 1 ( 29 years old) \(n_{1}\)=628, \(p_{1}\)=7%, sample 2( 30 years old)\(n_{2}\)=2309, \(p_{2}\)=0.11.

We have to first form hypothesis one null hypothesis and other alternate hypothesis.

\(H_{0}:\)π1-π2=0

\(H_{1}:\)π1-π2≠0

α=0.05

Difference between proportions \(p_{1}-p_{2} =-0.04\)

\(p_{d}=0.07-0.11=-0.04\)

The pooled proportion needed to calculate standard error is:

\(p=(X_{1} -X_{2} )/(n_{1} +n_{2} )\)

=(44+254)/(628+2309)

=0.10146

The estimated standard error of difference between means is computed using the formula:

\(S_{p_{1} -p_{2} }=\sqrt{p(1-p)/m_{1}+p(1-p)/n_{2} }\)

=\(\sqrt{0.101*0.899/628+0.101*0.899/2309}\)

=\(\sqrt{0.000143+0.00003}\)

=\(\sqrt{0.000173}\)

=0.01315

Z= Pd-(π1-π2)/\(S_{p_{1} -p_{2} }\)

=-0.04-0/0.013

=-3.0769

This test is a two tailed test so the p value for this test is calculated as (using z table)

p value:2 P(Z<-3.0769)

=2*0.002092

=0.004189

P value< significance level of 5%.

Hence there is enough evidence to show the claim that there is a significant difference in the use of e readers by different age groups.

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Question is incomplete as it also includes:

Significance level of 5%.

The cost of four and three-fourths pounds of beef is $18.95.

Given,

Amount of beef purchased = 4 and 3/4th  pounds.

Cost of beef per pound = $3.99

We need to find how much four and three-fourths pounds of beef cost.

Find the cost of 1 pound of beef.

1 pound = $3.99

We can write four and three-fourths as:

= 4 3/4

= 19/4

Find the cost of 19/4 pounds of beef.

1 pound = $3.99

Multiplying by 19/4 on both sides.

19/4  x 1 pound = 19/4 x $3.99

19/4 pounds =$18.95

Thus the cost of four and three-fourths pounds of beef is $18.95.

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Answer:

A its like right there in the chart

Step-by-step explanation:

hope this helped

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

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The statement in option B is a correlation rather than a causation

A statistical association or relationship between two or more variables is referred to as correlation. It gauges how closely variations in one variable are related to variations in another. Even if two variables are highly connected, this does not necessarily imply that one causes the other because correlation does not imply causation.

When two variables are in a cause-and-effect connection, it is said that there is causation since changes in one variable will inevitably result in changes in the other. More rigorous evidence is needed to prove causation, such as experimental designs, control groups, and deliberate manipulation of variables.

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Answer:

See below (I hope this helps!)

Step-by-step explanation:

Because odd numbers are always 1 greater than even numbers, we can call the two odd numbers x + 1 and y + 1 where x and y are even integers. Multiplying the two gives us:

(x + 1) * (y + 1)

= x * y + x * 1 + 1 * y + 1 * 1

= xy + x + y + 1

We know that x * y will be even because x and y are also even and the sum of two even numbers will be even, and we also know that x and y are even and that 1 is odd. Since the sum of even and odd numbers is always odd, the product of any two numbers is always odd.

*NOTE: I put a limitation on x and y in my proof (the limitation was that x and y must be EVEN integers) but you don't have to do that, you could make the odd integers 2x + 1 and 2y + 1 where x and y could be any integer from the set Z like mirai123 did. I simply gave this proof because it was the first thing that came to mind. While mirai123's proof and mine are different, they are still both correct.

Answer:

Prove that the product of any two odd numbers is always odd.

Examples:

\(3 \cdot 7 = 21 \text{ } \boxed{\text{odd}}\\5 \cdot 9 = 45 \text{ } \boxed{\text{odd}}\\83 \cdot 3 = 249 \text{ } \boxed{\text{odd}}\)

Defining an odd number as:

\(u= 2k+1, k \in \mathbb{Z}\)

\(u \cdot u = (2k+1)(2k+1)= 4k^2+4k+1\)

\(\text{Is } \boxed{4k^2+4k+1} \text{ odd?}\)

Yes, it is, because \(4k^2 \text{ and } 4k \text{ will always be even considering } k \in \mathbb{Z}\)

An even number plus one is an odd number.

Answer:

$80

Step-by-step explanation:

40 increase 100% =

40 × (1 + 100%) = 40 × (1 + 1) = 80

The interval where the derivative function f'(x) has a relative maximum is -2.478 and 1.732 (B) only.

To find the relative maximum of a function, we need to find the critical points of the derivative function. Critical points are where the derivative function is equal to zero or undefined. In this case, the derivative function is f'(x) = sin(x^2 − 3).

To find the critical points, we need to set the derivative function equal to zero and solve for x:
sin(x² − 3) = 0

x² − 3 = nπ, where n is an integer

x² = nπ + 3

x = ±√(nπ + 3)

We need to find the values of x that are in the interval −3 < x < 3. By plugging in different values of n, we can find the critical points in this interval:

n = 0: x = ±√3 ≈ ±1.732

n = 1: x = ±√(π + 3) ≈ ±2.478

n = 2: x = ±√(2π + 3) ≈ ±2.915 (not in the interval)

So the critical points in the interval are -2.478, -1.732, 1.732, and 2.478.

To determine which of these are relative maximums, we need to look at the sign of the derivative function on either side of the critical points. If the derivative function changes from positive to negative at a critical point, then that point is a relative maximum.

At x = -2.478, the derivative function changes from positive to negative, so this is a relative maximum.

At x = -1.732, the derivative function changes from negative to positive, so this is not a relative maximum.

At x = 1.732, the derivative function changes from positive to negative, so this is a relative maximum.

At x = 2.478, the derivative function changes from negative to positive, so this is not a relative maximum.

Therefore, the values of x in the interval −3 < x < 3 where f has a relative maximum are -2.478 and 1.732.

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Answer:

-120.01

Step-by-step explanation:

I just took the test

The probability that exactly one fourth of the questions will be answered correctly is approximately 0.00166.

Given,

Number of multiple choice questions = 40

Each question has four possible answers, and only one of them is correct.

Thus, Probability of getting a question correct = 1/4.

Probability of getting a question incorrect = 1 - 1/4 = 3/4

Let X be the number of questions answered correctly by the student.

Since there are 40 questions in total,

X can take any value between 0 and 40, inclusive.

To find the probability that exactly one fourth of the questions will be answered correctly, we need to calculate the probability that X = 10.

Using the binomial distribution formula,

The probability of answering exactly k questions correctly out of n total questions is given by :

P(X = k) = nCk x pk x (1-p)n-k

where, nCk is the number of ways to choose k questions from n total questions,

p is the probability of answering a question correctly, and

1-p is the probability of answering a question incorrectly.

So, the probability of answering exactly 10 questions correctly is :

P(X = 10) = 40C10 x (1/4)10 x (3/4)30P(X = 10) ≈ 0.00166.

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Answer:

Not equivalent

Step-by-step explanation:

Given:

We see that

Comparing:

They have same denominator but different numerator, hence they are different

Answer:  No

Step-by-step explanation:

No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers,  7 and 9, are not the same so therefore both ratios are not equivalent.

The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Answer:

-250

Step-by-step explanation:

Answer:

11000 pounds

Step-by-step explanation:

1 US ton=2000 pounds

multiply the mass value by 2000

5.5ton x 2000pound

=11000pounds

a) To find g(-6), we can estimate the value of g(-6) by finding the equation of the line that passes through the points (-5,0) and (-3,-2). To do this, we can use the slope-intercept formula:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is one of the points on the line.

m = (y2 - y1) / (x2 - x1) = (-2 - 0) / (-3 - (-5)) = -1/2

Using the point-slope formula with (x1, y1) = (-5, 0), we get:

y - 0 = (-1/2)(x - (-5))

y = (-1/2)x + 5/2

Therefore, g(-6) is approximately equal to g(-5), which we can find by substituting x = -5 into the equation:

g(-5) = (-1/2)(-5) + 5/2 = 5/2

So, g(-6) is approximately equal to 5/2.

b) To find g(4), we look for the value of y when x is 4. From the table, we can see that when x is 4, g(x) is equal to -6. Therefore, g(4) = -6.

c) To find the value of x when g(x) is 0, we look for the row where g(x) is 0. From the table, we can see that when x is -5, g(x) is equal to 0. Therefore, x = -5 when g(x) = 0.

Answer:

It should be -18 times the square root of of 10

Step-by-step explanation:

Answer:

\(3.84\times10^8\ m\)

Step-by-step explanation:

It is given that,

The average distance between the Earth and the Moon is 384 400 km.

We need to express in in standard form.

1 km = 1000 m

It means,

384400 km = 384400000 km

or

= \(3.84\times10^8\ m\)

Hence, the average distance between the Earth and the Moon is \(3.84\times10^8\ m\).

Answer:

The average yearly change in the value of the card is $15 every year.

Step-by-step explanation:

Average Change

The change in the value of the baseball card bought by Connor was $120 in 8 years.

The average yearly change in value is calculated as:

Avg Change=$120 / 8 years = 15 $/yr

The average yearly change in the value of the card is $15 every year.

Step-by-step explanation:

Equation for the volume of a cone is

V = (pi(r^2)h)/2

Plug in the known values to get

350 = (pi(6^2)h)/2

To find h, just isolate it by first dividing both sides by 2 and squaring 6 to get

175 = pi(36)h

Then, divide both sides by pi36 to get

h = 175/pi(36)

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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Answer:

-1, 0, 1, 2

Step-by-step explanation:

\(\sqrt{5-5} -1\\\sqrt{0} -1\\0-1\\-1\)

\(\sqrt{6-5} -1\\\sqrt{1} -1\\1-1\\0\)

\(\sqrt{9-5} -1\\\sqrt{4} -1\\2-1\\1\)

\(\sqrt{14-5} -1\\\sqrt{9} -1\\3-1\\2\)

Answer:

im learning the same thing right now :(

Step-by-step explanation:

Answer:

ycucyd?7tsr u spyf xxx it?ti 68f?

Step-by-step explanation:

itzdit d?iyyc7r 0 cuoc68f