5 + 3 + 2 = 151022
9 + 2 + 4 = 183652
8 + 6 + 3 = 482466
5 + 4 + 5 = 202541
Then ...
7 + 2 + 5 = ??????​

The nutritionist should perform hypothesis testing followed by Independent T-test to see if coffee and tea differ in mean caffeine content .

We need to Know about Hypothesis testing and independent t test to answer this-

Hypothesis testing is a type of statistical test that is used to comapare data and drawing conclusion from them.

An independent t-test is a statistical test that determines whether the means of two unrelated groups are significantly different from each other.

We can find the difference caffeine content following these steps -

1)H0=Null hypothesis=tea and coffee has same caffeine level

HA=tea and coffee has different caffeine level

2)The independent samples t-test is utilized to determine whether two different sample means come from the same population or whether they come from two distinct populations with different mean values. Two populations can be considered independent when the data in one group is not connected to the data in the other group.

The t value obtained should be then performed under hypothesis testing.

3)And the calculated T value should be comaperd with the desired significance level (generally =0.05) and if the t value comes in between the critical values the nutritionist can assume that both tea and coffee has same caffeine level in this null hypothesis will be accepted.

Whereas if the calculated t value doesn't falls in between the critical value then the nutritionist can assume that tea and coffee has different caffeine level.

Hence null hypothesis will be rejected.

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Answer:

One cup of coffee is $3.25

Step-by-step explanation:

Create a system of equations where c is the cost of a cup of coffee and d is the cost of a donut

2c + 4d = 10.5

c + 5d = 8.25

Solve by elimination by multiplying the top equation by -5 and the bottom equation by 4

-10c - 20d = -52.5

4c + 20d = 33

Add them together and solve for c

-6c = -19.5

c = 3.25

So, a cup of coffee is $3.25

Answer:

The annual profits will be 2187.5

Step-by-step explanation:

p(x) = 65x - 0.3x^2

I am guessing that the 2 was supposed to be a square.

Simply plug in the number of pies sold:

p(175) = 65(175) - 0.3(175)^2 = 11375 - 0.3*30625 = 11375 - 9187.5 = 2187.5

Answer:

(21x-25)

Step-by-step explanation:

We need to find an equivalent expression for the following.

5x-3+4(4x-6)+2

We can solve it as follows:

5x-3+4(4x-6)+2 = 5x-3+16x-24+2

= 5x+16x-3-24+2

= 21x-25

So, the equivalent expression is equal to (21x-25).

Answer: i dont know the answer but can i please have brainliest, i wanna know what it looks like and what it does

Step-by-step explanation:

The maximum value is 5 and the minimum value is -11.The maximum value is approximately 13.84 and the minimum value is -1040. The maximum value is approximately 0.8 and the minimum value is -0.333.

1. For f(x) = -2x - 1 over [-3, 5]:
  - Take the derivative of f(x) with respect to x: f'(x) = -2.
  - Set f'(x) equal to zero and solve for x: -2 = 0. There are no solutions, so there are no critical points.
  - Since the interval is finite, we evaluate f(x) at the endpoints:
    - f(-3) = -2(-3) - 1 = 5.
    - f(5) = -2(5) - 1 = -11.
  - Therefore, the maximum value is 5 and the minimum value is -11.

2. For f(x) = x³ - 4x + 10 over [-10, 10]:
  - Take the derivative of f(x) with respect to x: f'(x) = 3x² - 4.
  - Set f'(x) equal to zero and solve for x: 3x² - 4 = 0.
    - x = 2/√3 or x = -2/√3.
  - Since the interval is finite, we evaluate f(x) at the endpoints and critical points:
    - f(-10) = -10³ - 4(-10) + 10 = -1040.
    - f(-2/√3) ≈ 8.16.
    - f(2/√3) ≈ 13.84.
    - f(10) = 10³ - 4(10) + 10 = 960.
  - Therefore, the maximum value is approximately 13.84 and the minimum value is -1040.

3. For f(x) = x/(x^2 + 1) over [1, 4]:
  - Take the derivative of f(x) with respect to x: f'(x) = (x² + 1 - 2x²) / (x² + 1)².
  - Set f'(x) equal to zero and solve for x: (x²+ 1 - 2x²) / (x² + 1)² = 0.
    - x² + 1 - 2x² = 0.
    - -x² + 1 = 0.
    - x² = 1.
    - x = ±1.
  - Since the interval is finite, we evaluate f(x) at the endpoints and critical points:
    - f(1) = 1 / (1² + 1) ≈ 0.333.
    - f(-1) = -1 / (1² + 1) ≈ -0.333.
    - f(4) = 4 / (4² + 1) ≈ 0.8.
  - Therefore, the maximum value is approximately 0.8 and the minimum value is -0.333.

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Answer:

Step-by-step explanation:

PART A. Graph the linear equation

- Look at the Graph below as an attachment

PART B. Interpret the slope and the y-intercept

- The slope-intercept form in the linear equation is: y=mx+b

Solve

y=mx+b

y=-15x+375

slope=-15

y-intercept=375

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Well.

Step-by-step explanation:

The top point would be climax.

The beggining would be start.

And the end would be end.

Answer:

According to the graph I think that story would like like a serious story, like a true story ig-?

Answer:

two and eighty-one thousandths

Step-by-step explanation:

Answer: two and eighty-one thousandths

Step-by-step explanation:

      We will write this out in words. The one is in the thousandths place, so we read it as eighty-one thousandths.

2 ➜ two

. ➜ and

81 ➜ eighty-one

0.081 ➜ eighty-one thousandths

2.081 ➜  two and eighty-one thousandths

To determine the minimum acceptable surrounding ambient temperature for the curing of a 12-inch-thick concrete wall with a 2-inch insulation blanket.

During the curing process of concrete, it is important to maintain a minimum acceptable temperature to ensure proper hydration and strength development. The specific requirements for curing vary depending on the type of cement and other factors. However, a general guideline for curing is to maintain a minimum temperature of 10°C (50°F) for a period of 3 days.

In the given scenario, the concrete wall is wrapped with a 2-inch-thick insulation blanket made of mineral fiber. This blanket helps to retain heat and protect the concrete from rapid temperature fluctuations. However, it is important to note that the insulation alone may not provide sufficient protection in extremely cold weather conditions.

To ensure proper curing without additional protection, it is recommended to have a surrounding ambient temperature of at least 10°C (50°F) for a continuous period of 3 days. If the ambient temperature falls below this minimum requirement, additional measures such as external heating or enclosure may be necessary to maintain the desired temperature for proper curing.

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To determine if the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution, we can check whether the vector b is in the span of the vectors {a1, a2, a3}.

In linear algebra, the augmented matrix represents a system of linear equations. The columns a1, a2, and a3 correspond to the coefficients of the variables in the system, while the column b represents the constants on the right-hand side of the equations. To check if the system has a solution, we need to determine if the vector b is a linear combination of the vectors a1, a2, and a3.

If the vector b lies in the span of the vectors {a1, a2, a3}, it means that b can be expressed as a linear combination of a1, a2, and a3. In other words, there exist scalars (coefficients) that can be multiplied with a1, a2, and a3 to obtain the vector b. This indicates that there is a solution to the linear system.

On the other hand, if b is not in the span of {a1, a2, a3}, it implies that there is no linear combination of a1, a2, and a3 that can yield the vector b. In this case, the linear system does not have a solution.

Therefore, determining whether the vector b is in the span of {a1, a2, a3} allows us to determine if the linear system corresponding to the augmented matrix [a1 a2 a3 b] has a solution or not.

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Answer: 7

Step-by-step explanation:

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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The simple interest earned is $200 and the annual rate is 4 % paid by the bank.

As per the question, the given data as:

P = $2500

A = $2700

T = two years

simple interest = A - P

simple interest = $2700 - $2500

simple interest = $200

⇒ Simple interest  = P × R × T

Substitute the value of P and T in the above formula, and solve for R

⇒ 200 = 2500 × R × 2

⇒ 200 = 5000R

⇒ R = 200/5000

⇒ R = 0.04

⇒ R = 4/100

⇒ R = 4 %

Thus, the simple interest earned is $200 and the annual rate is 4 % paid by the bank.

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The equation 35 + a = 180 represents the relationship between angles ZQRS and ZSRT, where angle ZQRS has a measure of 35 degrees and angle ZSRT has a measure of 145 degrees.

To determine the relationship between angles ZQRS and ZSRT, let's analyze the information provided.

We are given that the measure of angle ZQRS is 35 degrees. Let's denote the measure of angle ZSRT as "a."

In the image of the keychain, we can see that angles ZQRS and ZSRT are adjacent angles sharing the side RS. When two adjacent angles share a common side, the sum of their measures is equal to 180 degrees. This is known as the angle sum property.

So, we can set up the equation:

ZQRS + ZSRT = 180

Replacing ZQRS with its measure of 35 degrees and ZSRT with "a," the equation becomes:

35 + a = 180

This equation represents the relationship between angles ZQRS and ZSRT.

To solve for the measure of angle ZSRT (a), we can subtract 35 from both sides of the equation:

a = 180 - 35

Simplifying further, we get:

a = 145

Therefore, the equation that represents the relationship between ZQRS and ZSRT is:

35 + a = 180

And the measure of angle ZSRT (a) is 145 degrees.

In summary, the equation 35 + a = 180 represents the relationship between angles ZQRS and ZSRT, where angle ZQRS has a measure of 35 degrees and angle ZSRT has a measure of 145 degrees.

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The vector with a magnitude of 4 and a direction of 250 degrees counterclockwise from the positive x-axis can be written in component form as (-2.77, 3.41).

To write a vector in component form, we need to break it down into its horizontal and vertical components. Let's analyze the given vector with a magnitude of 4 and a direction of 250 degrees counterclockwise from the positive x-axis.

To find the horizontal component, we use cosine, which relates the adjacent side (horizontal) to the hypotenuse (magnitude of the vector). Since the vector is counterclockwise from the positive x-axis, its angle with the x-axis is 360 degrees - 250 degrees = 110 degrees. Applying cosine to this angle, we have:

cos(110°) = adj/hypotenuse
adj = cos(110°) * 4

Similarly, to find the vertical component, we use sine, which relates the opposite side (vertical) to the hypotenuse. Applying sine to the angle of 110 degrees, we have:

sin(110°) = opp/hypotenuse
opp = sin(110°) * 4

Now we have the horizontal and vertical components of the vector. The component form of the vector is written as (horizontal component, vertical component). Plugging in the values we found, the vector in component form is:

(cos(110°) * 4, sin(110°) * 4)

Simplifying this expression, we get the vector in component form as approximately:

(-2.77, 3.41)

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Answer:

5 pints of milk

Step-by-step explanation:

took the test

Answer:

x=4

Step-by-step explanation:

2/x:6/12

6x=24

x=4

Answer:

Carl can type 450 words in 5 minutes at that rate.

Step-by-step explanation:

Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)

if we multiply 90wpm by 5 Minutes, we get 450 words per minute

The process that generates more values that are more than 2 standard deviations from the mean is called a "fat-tailed" distribution.

In a fat-tailed distribution, the probability of extreme values occurring is higher compared to a normal distribution.

To understand this concept, let's consider two processes: Process A and Process B.

Process A generates a dataset with a normal distribution, while Process B generates a dataset with a fat-tailed distribution.

In a normal distribution, the majority of the data falls close to the mean, with fewer values farther away.

The probability of values more than 2 standard deviations from the mean is relatively low.

On the other hand, in a fat-tailed distribution, there is a higher likelihood of extreme values occurring.

This means that the probability of values more than 2 standard deviations from the mean is higher.

For example, let's say we have two datasets: Dataset A generated by Process A and Dataset B generated by Process B.

We calculate the mean and standard deviation for both datasets.

In Dataset A, if the mean is 50 and the standard deviation is 5, then values more than 2 standard deviations away from the mean would be greater than 60 or less than 40.

In Dataset B, if the mean is 50 and the standard deviation is also 5, then values more than 2 standard deviations away from the mean would have a wider range.

These values could be significantly higher than 60 or lower than 40, depending on the specific distribution of Dataset B.

Therefore, if Process B generates a fat-tailed distribution, it is more likely to produce values that are more than 2 standard deviations from the mean compared to Process A and its normal distribution.

In summary, the process that generates more values that are more than 2 standard deviations from the mean is a fat-tailed distribution, which has a higher likelihood of extreme values occurring.

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the perimeter of the pentagon greater than 26 centimeters is given by

23.51

Given that a pentagon with 5  sides of equal length and 5 interior angles of equal measure is inscribed in a circle

The circle has area of 16 pi sq cm.

Hence radius of circle = 4 cm

The pengagon each side would be a chord of equal length subtending angle 72 at the centre.

visualize the triangle made by one side of pentagon with centre.  This is isosceles with angles 72, 54 and 54

Use sine angle for this triangle.

, where R = radius =4 and s = side of pentagon.

s= 4.702

Perimeter = 5s = 23.5114 cm

Perimeter not greater than 26 cm.

If origin is at the centre then two vertices would be (4,0) (4cos 72, 4sin72),(4cos 144, 4 sin 144) and so on.

Longest diagonal = distance between (4,0) and (4cos 144, 4 sin 144)

= (-3.236, 2.351) and (4,0)

=7.608

Yes greater than 8 cm

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Answer:

90% increase

Step-by-step explanation:

38-20 To find the increase in the wolves.

Then, you have to divide by the original amount. You will get 0.9

Multiply by 100 to get the percentage

You will get 90%

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Answer:

Step-by-step explanation:

70x4 is 280 plus 40 is 320.

Answer:

$320

Step-by-step explanation:

(4 x $70) + $40 is the equation

$280 + $40 = $320

$320

To evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Depending on the powers they possess, many rules of exponents are given.

Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

The given value can be written as:

\(8^{\frac{2}{3} } = \sqrt[3]{8^{2} }\)

Hence, to evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.

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Answer:

1) 52/100

2) 2/100

Step-by-step explanation:

Answer:

a. To find the annual net income, subtract the annual expenses from the annual rental income.

The annual rental income = $750 * 12 months = $9,000

So, the annual net income = $9,000 - $6,890 = $2,110

b. To find the annual yield, divide the annual net income by the investment cost (the down payment) and multiply by 100 to get the answer as a percentage.

The annual yield = ($2,110 / $28,500) * 100 = 7.41%

c. To find the monthly rent required to get a yield of 90%, divide the investment cost by the desired yield and divide by 12 to get the monthly rent.

The investment cost = $28,500

The desired yield = 0.90

So, the monthly rent = ($28,500 / 0.90) / 12 = $2,306.25

Step-by-step explanation:

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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Answer:

1.43

Step-by-step explanation:

9kg cost= 12.87

1kg cost= 12.87/9 =1.43

9kg book cost=12.87

1kg book will cost

\(\\ \rm\longmapsto \dfrac{12.87}{9}\)

\(\\ \rm\longmapsto 1.43\)