A radio station that keeps records of the low temperature each day obtained the following information. Thetemperature on Monday was below zero, and on Tuesday it was 6°F colder. Wednesday the temperature reading wastwice as low as for Tuesday. Thursday the temperature was 8°F higher than on Wednesday. On Friday, thetemperature warmed up to-7°F, which was just half of the temperature on Thursday. What was the recordedtemperature for Monday? Show your work.

Given that,

The diameter of a tennis ball, d = 2.7 inches

Radius, r = 1.35 inches

The dimensions of the storage shed is 14 feet wide, 15 feet long, and 10 feet high.

Volume of the shed is, V = lbh

\(V=14\times 15\times 10\\\\V=2100\ \text{feet}^3\)

We can convert radius from inches to feet :

1 foot = 12 inches

Radius, r = 0.1125 feet

Let there are x number of tennis balls that can fit in the shed. So,

\(x\times V_b=V_s\\\\\text{Where}\ V_b\ \text{and}\ V_s\ \text{volume of ball and shed}\\\\x=\dfrac{V_s}{\dfrac{4}{3}\pi r^3}\\\\x=\dfrac{2100}{\dfrac{4}{3}\pi \times (0.1125)^3}\)

x = 352105.75 balls

or

x = 352106 balls

Hence, 352106 balls can fit in the storage shed.

In the context of your experiment comparing the effectiveness of two treatments using a randomized block design, the following must be true:

1. The subjects are divided into two blocks based on their age: under 40 years and 40 years or older.
2. Randomization is used within each block to assign subjects to one of the two treatments. This ensures that each treatment group within a block has a random mix of subjects, reducing potential biases.
3. The purpose of blocking by age is to control for any confounding variables or potential effects that age might have on the treatment outcomes. By blocking, researchers can more accurately measure the differences between the two treatments.
4. The experiment is well-designed, which means it should minimize potential sources of error, include sufficient sample size, and ensure proper randomization and data collection.
5. To analyze the results, researchers will compare the treatment outcomes within each age block and then combine the results to get an overall measure of the effectiveness of the two treatments.

By using a randomized block design in this experiment, researchers can control for age-related factors and obtain a more accurate comparison of the treatment effectiveness.

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Answer:

Step-by-step explanation:

Answer:

Z= 31.6666666666666666

Step-by-step explanation:

x/5 - 4 = 2 1/3

x/5 = 6 1/3

x=6 1/3 times 5

x=31.66 repeated

The given integral is ∫(1 to 0) (4/³√x)dx = ∫(0 to 1) (4x^(-1/3))dx

To find the integral of this form, we use the power rule of integration of the function x^n.

∫x^n dx = (x^(n+1))/(n+1) + C,

where C is the constant of integration

Now, we have ∫(0 to 1) (4x^(-1/3))dx = 4 ∫(0 to 1) (x^(-1/3))dx

Applying the power rule of integration,

∫(0 to 1) (x^(-1/3))dx = 3[x^(2/3)] (0 to 1)

= 3[1^(2/3) - 0^(2/3)]

= 3 × 1

= 3

Therefore, the integral is equal to 4 × 3 = 12.

Hence, the answer is 12.

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Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

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Answer:

14.6mm

Step-by-step explanation:

The formula for finding the circumference of a circle is 2πr.

The circumference is 91.688 millimeters inorder to find the radius we have to do the opposite or inverse of multiplication which is division.

So we divide the circumference by 2 and pi which is 3.14 which will give us the radius

r = radius = 91.668 ÷ 3.14 ÷ 2 = 14.6

Answer: its c

Step-by-step explanation:

Answer: Answer is D and Yes

Step-by-step explanation:

Answer:

add teh add57

Step-by-step explanation:

tyen i how muchho

Answer:

n = 47/3

Step-by-step explanation:

Let the number be n.  

Then tripling this number and subtracting 4 from the result is 3n - 4 = 43

This result could be solved for n as follows:

Add 4 to both sides:  3n = 47

Then n = 47/3

The required allowance that Dan has prior is given as $11.6.

Given that,
Dan spent half of his weekly allowance. He then earned $8.90 by completing some chores. What is his weekly allowance if he currently has $14.70 (prior to getting his weekly allowance he had $0) is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the allowance Dan has be x,
According to the question,
x/2 + 8.90 = 14.70
x = 29.40 - 17.80
x = $11.6

Thus, the required allowance that Dan has prior is given as $11.6.

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Answer:

18

Step-by-step explanation:

72% of 25 is 18.

Hope this helped! :)

Answer:

2/7

Step-by-step explanation:

4-2=2

4/7 - 2/7 = 2/7

the denominators are the same so just change the numerators

Answer:

2/7

Step-by-step explanation:

\( \frac{4}{7} - \frac{2}{7} = \frac{2}{7} \)

if the bottom numbers are the same you can subtract the top numbers like normal

The correct option is A, the lower quartile (Q1) and it is 75.

We must comprehend the quartiles of the box plot in order to calculate the number below which 25% of the data lies.

A box plot's interquartile range (IQR), which contains the middle 50% of the data, is represented by the box.

The median, which splits the data into two equally sized half, is shown by the line inside the box.

Here, the box has a line at 79 and spans from 75 to 82.

Accordingly, the lower quartile (Q1) and the upper quartile (Q3) are both situated near the box's boundary, which is 75 and 82, respectively.

The line inside the box, which is 79, is the median (Q2).

The first quartile (Q1) or the 25th percentile must be identified in order to establish the number below which 25% of the data lies.

The first quartile in a box plot symbolizes the number below which 25% of the data is found.

Since Q1 is located at the lower boundary of the box, which is 75, 25% of the data lies below the score of 75.

Hence the correct option is A.

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Answer:

1/w^6 or w^-6

Step-by-step explanation:

You add the two exponents

I recommend putting 1/w^6

Please mark brainliest

The correct option is d) mathematical

What is a technical system model?

A mathematical model is a set of equations or algorithms that represent technical aspects of a system. These equations or algorithms are used to predict or simulate system behavior and performance. Mathematical models are often used in engineering, science, economics, and other fields where complex systems need to be analyzed and optimized. For example, a mathematical model could be used to analyze how a communication network would perform with different levels of traffic or to predict how a chemical reaction would proceed under various conditions. Mathematical models are often represented graphically to provide a clear visualization of the complex relationships between variables within a system. Overall, mathematical models are an essential tool for designing, optimizing, and managing complex systems.

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Answer:

4 and 72

Step-by-step explanation:

Answer:

4 and 72 !

Step-by-step explanation:

Free samples or product trials as a type of sales promotion can be both beneficial and detrimental. They encourage consumers to try a product at reduced risk, but they can also reduce the perception of value for the product or service.

Offering free samples or product trials is a common sales promotion strategy to attract customers and encourage them to try a product or service. This approach has several benefits. Firstly, it lowers the perceived risk for consumers as they can experience the product without making a financial commitment upfront. This can be especially effective for new or unfamiliar products, as it allows potential customers to test the product's quality and functionality.

However, there can be drawbacks to this sales promotion technique. Providing free samples or trials can create the perception that the product or service has less value or is of lower quality. Consumers may develop a mindset of expecting free or discounted offerings, and it can undermine the willingness to pay the full price in the future. Additionally, if the free samples or trials are not managed effectively, it may attract individuals who are not genuinely interested in the product, leading to wastage of resources and potentially diluting the brand image.

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The Bonferroni method is a statistical correction technique used to adjust the significance level (alpha) when multiple hypothesis tests are conducted simultaneously.

This method helps control the family-wise error rate, which is the probability of making at least one type I error (false positive) across multiple tests.

In your case, the given p-value is 0.007726%. To adjust this p-value using the Bonferroni method, you first need to know the total number of tests conducted (let's call it 'n'). The adjusted significance level (alpha) would be calculated by dividing the original alpha level (usually 0.05 or 5%) by the number of tests (n). Then, you can compare the adjusted alpha with the p-value to determine if the result is statistically significant.

For example, if you conducted 10 tests, the adjusted alpha would be 0.05 / 10 = 0.005 or 0.5%.

In this case, since the given p-value of 0.007726% (0.00007726) is greater than the adjusted alpha (0.005), you would fail to reject the null hypothesis, suggesting that the result is not statistically significant after adjusting for multiple comparisons using the Bonferroni method.

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The  general solution to the exact differential equation (5t^2 + 8y) dy + (10yt + 9t^2) dt = 0 is given by:
\(3t^3 + 5yt^2 + 8y = C\)

where C is the constant of integration.

To solve the exact differential equation (5t^2 + 8y) dy + (10yt + 9t^2) dt = 0, we need to check if it satisfies the condition for exactness, which is that the partial derivative of (5t^2 + 8y) with respect to t is equal to the partial derivative of (10yt + 9t^2) with respect to y.

Taking the partial derivative of (5t^2 + 8y) with respect to t gives 10t, and taking the partial derivative of (10yt + 9t^2) with respect to y gives 10t. Since these two partial derivatives are equal, the differential equation is exact.

Next, we need to find a function F(t, y) such that its partial derivatives with respect to t and y are equal to the coefficients of dt and dy in the differential equation, respectively.

Integrating the partial derivative of F with respect to t, we get:
\(F(t, y) = ∫(10yt + 9t^2) dt = 5yt^2 + 3t^3 + C(y)\)

where C(y) is an arbitrary constant of integration that depends only on y.

Next, we take the partial derivative of F with respect to y and equate it to the coefficient of dy in the differential equation:

\(dF/dy = 5t^2 + C'(y) = 8\)

where C'(y) is the derivative of C(y) with respect to y. Solving for C'(y), we get C'(y) = 8 - 5t^2.

Substituting this value of C'(y) back into the expression for F, we get:

\(F(t, y) = 5yt^2 + 3t^3 + (8y - 5yt^2) = 3t^3 + 5yt^2 + 8y\)

Therefore, the general solution to the exact differential equation (5t^2 + 8y) dy + (10yt + 9t^2) dt = 0 is given by:

\(3t^3 + 5yt^2 + 8y = C\)

where C is the constant of integration.
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The minimum of the given expression can be found to be 3 x ∛(√2).

Use these inequalities to find the minimum of the given expression:

(a / (b + c)) + (b / (c + a)) + √(2c / (a + b)) ≥ (a / (√(bc))) + (b / (√(ac))) + √(2c / (√(ab)))

Now, simplify the expression:

(a / (√(bc))) + (b / (√(ac))) + √(2c / (√(ab))) = (√(a²/bc)) + (√(b²/ac)) + (√(2c²/ab))

Apply AM-GM inequality to the terms (√(a²/bc)), (√(b²/ac)), and (√(2c²/ab)):

AM = [(√(a²/bc)) + (√(b²/ac)) + (√(2c²/ab))] / 3 ≥ GM = ∛[(√(a²/bc)) * (√(b²/ac)) * (√(2c²/ab))]

The geometric mean (GM) is:

GM = ∛[(√(a²/bc)) x (√(b²/ac)) x (√(2c²/ab))]

GM = ∛(√(2a²b²c² / a²b²c²))

GM = ∛(√2)

Thus, the minimum of the given expression is:

= 3 x ∛(√2)

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840  ways can we form a subcommittee with 3 republicans and 2 democrats

Given that

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations). Three fruits, such as an apple, an orange, and a pear, for instance, can be combined into three different pairs: an apple and a pear, an apple and an orange, or a pear and an orange. A k-combination of a set S is officially defined as a subset of S's k unique elements. So, if and only if each combination contains the same elements, two combinations are said to be identical. (It is not important how each set's members are arranged.) If there are n elements in the set, then C kn is the number of k-combinations.

a senate committee has 8 republicans and 6 democrats.

now, we need to find how many ways can we form a subcommittee with 3 republicans and 2 democrats

= 8\(C_{3}\) × 6\(C_{2}\)

=\(\frac{8!}{5!3!}\) × \(\frac{6!}{4!2!}\)

=56 × 15

=840

840  ways can we form a subcommittee with 3 republicans and 2 democrats

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The area of the parallelogram, rounded to the nearest square foot, is approximately 1428 square feet.

Area of parallelogram = (side 1 length) * (side 2  length) * sin(angle).

Here the sine function relates the ratio of the length of the side opposite the angle, to the length of the hypotenuse in a right triangle.

In simple terms, we are using the sine function to determine the perpendicular distance between the two sides of the parallelogram.

Given that length of side 1 = 29 feet

length of side 2 = 50 feet

The angle between side 1 and side 2 = 80 degrees

Area = 29 * 50 * sin(80)

Sin 80 is approximately 0.984807.

Therefore , Area = 29 * 50 * 0.984807

Area ≈ 1427.97 = 1428 square feet

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Answer:

-0.7

Step-by-step explanation:

add +1.4m on both sides
then you got -1.1 + 0.4 = ?
and -1.1 + 0.4 = -0.7

Answer: It is -0.7

Step-by-step explanation:

-1.1-1.4m+0.4=x-1.4m

Add 1.4m to both sides which should look like this

-1.1-1.4m+0.4+1.4m=x-1.4m+1.4m

then you have to simplify you should have

-1.1+0.4=x

Then you add them which gives you your answer

-0.7

Given: $f(x) = a + b$ and $g(x) = f^{-1}(x)$ for all $x$Thus, $g$ is the inverse of the function $f$.We need to find all possible values of $a$ and $b$ such that $f(x) - g(x) = 2022$ for all $x$.

Now, $f(g(x)) = x$ and $g(f(x)) = x$ (as $g$ is the inverse of $f$) Therefore, $f(g(x)) - g(f(x)) = 0$$\ Right arrow f(f^{-1}(x)) - g(x) = 0$$\Right arrow a + b - g(x) = 0$This means $g(x) = a + b$ for all $x$.So, $f(x) - g(x) = f(x) - a - b = 2022$$\Right arrow f(x) = a + b + 2022$Since $f(x) = a + b$, we get $a + b = a + b + 2022$$\Right arrow b = 2022$Therefore, $f(x) = a + 2022$.

Now, $g(x) = f^{-1}(x)$ implies $f(g(x)) = x$$\Right arrow f(f^{-1}(x)) = x$$\Right arrow a + 2022 = x$. Thus, all possible values of $a$ are $a = x - 2022$.Therefore, the possible values of $a$ are all real numbers and $b = 2022$.

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Answer:

3.90625 quarts per minute.

Step-by-step explanation:

we want to convert from ounces to quarts

and also from seconds to minutes

1 ounces is equal to 0.03125qtz

2 ounces will be x

cross multiply

x=0.0625 quarts

i minutes is equal to 60 sec

x minute is equal to 1 sec

cross multiply

x= 1/60

x=0.016 minute

rate of flow in quarts per minute.

=0.0625/0.016

=3.90625 quarts per minute.

When there is a multiplication between a term with parenthesis and another term we apply the distributive property:

It says that the parenthesis indicates that the term outside will multiply each of the terms inside it.

For the first parethesis:

- 3(2x + 4) = (-3) · 2x + (-3) · 4

since

(-3) · 2x = -6x

(-3) · 4 = -12

then

- 3(2x + 4) = (-3) · 2x + (-3) · 4

- 3(2x + 4) = -6 x - 12

For the second

– (2x + 4) ​= – 1 (2x + 4)

= ​(-1) · 2x + (-1) · 4

=-2x -4

We can see in this case that both parenthesis are the same, then it is the common factor of - 3(2x + 4) and – (2x + 4) ​,

We can factor it by separating it of each term and letting the remaining terms inside a parenthesis

- 3(2x + 4) – (2x + 4) ​= (2x + 4) ( -3 -1)

= (2x + 4) ( -4)

= -4 (2x + 4)

Answer:

|5x|=3

5x=3 or 5x=-3

divide both side by 5

x=3/5 or -3/5

here's the answer :))

answer answer answer

Answer:

8.50 per 8 gallons is better

Step-by-step explanation:

40/30=1.33 per gallon

8.50/8=1.06 per gallon

pls mark branliest

Answer:

-0.0238095238

Step-by-step explanation: