will put brainliest plzzzzzz help 2+2+3+8+6+7+4times2

The null hypothesis is found as: H0: μ = 5.0

The  alternative hypothesis is found as: Ha: μ ≠ 5.0

The null hypothesis, denoted as H0, states that there is no significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In symbols, the null hypothesis can be represented as:
H0: μ = 5.0

The alternative hypothesis, denoted as Ha, states that there is a significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In words, the alternative hypothesis can be stated as:
Ha: μ ≠ 5.0

Where μ represents the population mean GPA. The alternative hypothesis indicates that there is a difference, either higher or lower, between the mean GPA of students in the university and the reported value.

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Answer:

since 4/17 is smaller than 1, multiplying 4/17 with a. fraction smaller than 1 will yield a number still smaller than 4/17. This will still be smaller than 4/16. Hence the correct answer is A.

Step-by-step explanation:

hope i helped and have a wonderful day

Answer:

c) ab/14

Step-by-step explanation:

\(\frac{a}{7} * \frac{b}{2} =\frac{ab}{14}\)

multipling fractions rule is to multiply nominators and denominators separately

Consecutive whole numbers are a sequence of integers that follow each other in order, with a difference of 1 between each number. For example, 1, 2, 3, 4, and 5 are five consecutive whole numbers.

To find the consecutive whole numbers that 37 lies between, we can divide 37 by 2 and round down to the nearest whole number. This gives us 18.5, which means that 37 is closer to the number 38 than it is to the number 36. Therefore, the two consecutive whole numbers that 37 lies between are 36 and 38.

We can visualize this on a number line by placing the number 37 between 36 and 38. To do this, we can use our mouse to drag the number 37 to an approximately correct location on the number line. This helps us see that 37 is closer to 38 than it is to 36, which confirms our answer that 37 lies between the consecutive whole numbers 36 and 38.

In summary, to find the two consecutive whole numbers that 37 lies between, we divide 37 by 2 and round down to get 18.5. This tells us that 37 is closer to 38 than it is to 36, so the two consecutive whole numbers that 37 lies between are 36 and 38. We can confirm this by visualizing it on a number line.

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Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

To find the ordered pair (?, 1) on the graph of the function f(x) = log₂ x, we can substitute y = 1 into the equation and solve for x.

Starting with the equation f(x) = log₂ x, we have:

1 = log₂ x

To rewrite this equation in exponential form, we have:

2¹ = x

Simplifying, we find:

2 = x

Therefore, the ordered pair on the graph is (2, 1), where x = 2 and y = 1.

This means that when x is equal to 2, the value of the function f(x) is equal to 1. In other words, the point (2, 1) lies on the graph of f(x) = log₂ x.

The logarithmic function f(x) = log₂ x represents the logarithm base 2 of x, which is the exponent to which the base 2 must be raised to obtain x. The graph of f(x) is a curve that increases slowly as x increases. The point (2, 1) indicates that 2 raised to the power of 1 is equal to 2, which aligns with the properties of logarithms.

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If a sample of 8 scores has a mean of 10 and after removing one score, the mean of the remaining scores is 11, the score that was removed is 7.

The mean of the original sample is 10. This means that the sum of the scores in the sample is 8 multiplied by 10, which equals 80. After one score is removed, the mean of the remaining scores is 11. Since there are now 7 scores remaining in the sample, the sum of those scores is 7 multiplied by 11, which equals 77.

To find the score that was removed, we need to calculate the difference between the sum of the original sample and the sum of the remaining scores. The difference is 80 minus 77, which equals 3. Therefore, the score that was removed from the sample is 3.

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Work Shown:

Apply the Law of Sines to get the following. Make sure your calculator is in degree mode.

\(\frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(A)}{a}=\frac{\sin(C)}{c}\\\\\frac{\sin(20)}{4}=\frac{\sin(87)}{c}\\\\c*\sin(20)=4*\sin(87)\\\\c=\frac{4*\sin(87)}{\sin(20)}\\\\c\approx 11.6791897\\\\c\approx 11.7\\\\\)

So that's why the answer is choice D) 11.7

we need to find the line equation for the dashed line. Since we have 2 points of the line, its slope is

where we used the slope formula:

Then, our searched line has the form:

where b is the y-intercept. We can finde b by substituting point (0,-3) into the last equation:

then, the searched line in slope-intercept form is

Therfore, the given area can be modeled as

because when a line is dashed it doesn't belong to the given area.

Answer:

-7 1/3

Step-by-step explanation:

Answer:

10/3

Step-by-step explanation:

hope it's helpful ❤❤❤

THANK YOU

Answer:the best predicted value of ý when the twin born first has an IQ of 109 is 107.50

Step-by-step explanation:

Given the regression equation:

ŷ = -2.59 + 1.01x

We need to predict the value of ý when x (IQ score of the twin born first) is 109.

So we substitute x = 109 into the regression equation:

ŷ = -2.59 + 1.01(109)

ŷ = -2.59 + 110.09

ŷ = 107.50

Therefore, the best predicted value of ý when the twin born first has an IQ of 109 is 107.50.

The probability that greater than 99 out of 160 students will graduate on time is 0.1011, or 10.11%

To approximate the probability that greater than 99 out of 160 students will graduate on time given that the probability for a single student is 57%, we will use the normal distribution follow the given steps:

1. Determine the mean (μ) and standard deviation (σ) of the binomial distribution.
  μ = n * p = 160 * 0.57 = 91.2
  σ = sqrt(n * p * (1-p)) = sqrt(160 * 0.57 * 0.43) ≈ 6.498

2. Convert the problem to a standard normal distribution (Z-distribution) by finding the Z-score:
  Z = (X - μ) / σ
  Since we want to find the probability of more than 99 students graduating, we will use 99.5 (continuity correction).
  Z = (99.5 - 91.2) / 6.498 ≈ 1.276

3. Look up the Z-score in a standard normal (Z) table or use a calculator to find the area to the right of Z. The area to the left of Z is 0.8989.

4. Subtract the area to the left of Z from 1 to find the area to the right (our desired probability):
  P(X > 99) = 1 - 0.8989 = 0.1011

So, the probability that greater than 99 out of 160 students will graduate on time is approximately 0.1011, or 10.11% when rounded to four decimal places.

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Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

ANSWER

14 days

EXPLANATION

The mean of a data set is the sum of all data, divided by the number of data,

In this case, the number of data is 6, so the mean is,

Hence, the mean number of days taken for medical leave each month is 14.

Answer:

The monthly payment is approximately $2,356.89

Step-by-step explanation:

The list price of the car, P = $41,070

The interest rate payed, r = 5.09% compounded monthly

Therefore, the number of interest calculated per period, n = 1

The payment period, t = 5 years

The amount payed as sales tax = 5.86%

The amount paid as registration fee = $384

The amount paid as documentation fee = $89

The total amount to be paid, A = 41,070 + 41,070 × 0.0586 + 384 + 89 = 43,949.702

Therefore, the monthly payment, 'M', is given by the following formula;

\(M = \dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \cdot t} }{\left(1+\dfrac{r}{n } \right)^{n \cdot t} - 1}\)

Therefore, we get;

\(M = \dfrac{43,949.702\times \left(\dfrac{0.0509}{1} \right) \cdot \left(1+\dfrac{0.0509}{1} \right)^{1 \times 60} }{\left(1+\dfrac{0.0509}{1 } \right)^{1 \times 60} - 1} \approx 2,356.89\)

The monthly payment, M ≈ $2,356.89.

The future value of an annuity of $500 per year for 12 years, with an interest rate of 5%, can be calculated using the future value of an ordinary annuity formula. The future value is approximately $7,005.53.

To calculate the future value of an annuity, we can use the formula:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the annuity,

P is the annual payment,

r is the interest rate per compounding period,

n is the number of compounding periods.

In this case, the annual payment is $500, the interest rate is 5% (or 0.05), and the number of years is 12. As the interest is compounded annually, the number of compounding periods is the same as the number of years.

Plugging the values into the formula:

FV = $500 * [(1 + 0.05)^12 - 1] / 0.05

= $500 * [1.05^12 - 1] / 0.05

≈ $500 * (1.795856 - 1) / 0.05

≈ $500 * 0.795856 / 0.05

≈ $399.928 / 0.05

≈ $7,998.56 / 100

≈ $7,005.53

Therefore, the future value of the annuity of $500 per year for 12 years, with a 5% interest rate, is approximately $7,005.53.

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Answer:

The answer is 2/3

Step-by-step explanation:

Answer:

The answer is 180 - 65

Step-by-step explanation:

We got 180, because that is the number of degree's in a line

so 180 - 65 is 115 degrees, that's your answer :)

Answer:

I think its A

Step-by-step explanation:

Answer:

11.2

Step-by-step explanation:

If the rectangulars are similar then we can use similarity ratio to calculate value of x

CD is similar to RS and AB is similar to QP

4/6.4 = 7/x cross multiply expressions

4x = 44.8 divide both sides by 4

x = 11.2

Given the function `y = (x-6) / (x^2 + 5x + 6)`, let's identify the vertical asymptotes and holes: Factoring the denominator, we get`(x^2 + 5x + 6) = (x+2)(x+3)`So, `y = (x-6) / (x+2)(x+3)`

The vertical asymptotes of the function are the roots of the denominator. Thus, the vertical asymptotes of the function are `x = -2` and `x = -3`.Now, we'll look for the holes in the function. A hole is a point where the function is undefined but can be simplified by canceling common factors.

In the given function, we notice that the numerator `(x-6)` and the denominator `(x+2)(x+3)` have a common factor of `(x-6)`. Thus, there is a hole at `x = 6`.We can cancel `(x-6)` from both numerator and denominator to obtain the simplified function `y = 1 / (x+3)`.Therefore, the vertical asymptotes are `x = -2` and `x = -3`, and there is a hole at `x = 6`.

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Answer:

0.94

Step-by-step explanation:

You just divide 47 by 50 and you get 0.94 bam!

Answer: there are 118 dimes in the jar.

Step-by-step explanation: Let's use a system of equations to solve the problem:

Let d be the number of dimes and n be the number of nickels.

We know that:

d + n = 250 (Equation 1) (The total number of coins is 250)

0.1d + 0.05n = 18.4 (Equation 2) (The total value of all coins is $18.4)

To solve for d, we need to eliminate n from the equations above. We can do this by multiplying Equation 1 by -0.05 and adding it to Equation 2:

-0.05d - 0.05n = -12.5

0.1d + 0.05n = 18.4

0.05d = 5.9

Dividing both sides by 0.05, we get:

d = 118

Therefore, there are 118 dimes in the jar.

32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.

Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.

y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d

It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation.  33. Fourier series representation of f(x)

The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π

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For this case we have different effectiveness using two conditions the first one with to students who chose the professor as the chair of their doctoral committe and the second is associated to all students and we see a different effectiveness

This is a clear example of an error in the A)Data Gathering Phase

And the reason is because they introduce bias in the study just selecting students who select the professor as the chair of their doctoral committee, and it's very evident when they select all the students the real results change

Answer:

b on edge 2020

Step-by-step explanation:

Answer:

Slope: -5 Y-intercept: 3

Step-by-step explanation:

the slope intercept of a linear equation is:

y=mx+b

were m is slope. and b is the y intercept

therfore the problem is:

y=-5x+3

m=-5 so the slope is -5

b=3 so the y-intrercept is 3

Answer:

-5

Step-by-step explanation:

The slope is always in front of the x

Answer:

70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

56 divided by 80% = 70

The circumference of the circle is 12.56 units

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

Radius = 2 units

The circumference of the circle is calculated as

C = 2πr

Where

r = Radius = 2 units

Substitute r =2 in C = 2πr

C = 2π * 2

So, we have

C = 2 * 3.14 * 2

Evaluate the products

C = 12.56

Hence, the circumference is 12.56 units

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