Find the output, y, when the input, x, is 6.

Answer:

Step-by-step explanation:

Hello!

X: content of sugar of a sample of cereal.

Data set:

0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43

n= 16

\(\frac{}{X}\)= 0.295g

S= 0.17g

You have to test if the mean sugar content is less than 0.3g

H₀: μ ≥ 0.3

H₁: μ < 0.3

α: 0.05

Assuming that the variable has a normal distribution, you have to conduct a t test:

\(t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}\)

\(t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12\)

p-value: 0.4533

The p-value is greater than α, the decision is to not reject the null hypothesis.

At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.

I hope this helps!

Answer:

The low is -13 degrees Fahrenheit. The high is 109.4 or 109 2/5 degrees Fahrenheit.

Step-by-step explanation:

To get the low you plug -25 in for C(Celsius) and then you solve for F. First you can multiply both sides by nine. Second you need to distribute the 5, and this will give you 5F-160. Next add 160 to both sides, and now you should have, -65 = 5F. And finally you divide both sides by five to get a final answer of F = -13. To get the high follow these steps again, except this time plug in 43 for C.

The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.

A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.

Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.

From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.

By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.

In summary, the correct option is a) (x + y) (y + z).

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Answer:

It will have a rise of 20.

Step-by-step explanation:

We can use ratios:

Rise : Run = 16 : 4 = 4 : 1 = 20 : 5

Hope this helps!

The probability of having exactly 2 girls and 3 boys (in that order) is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32.

To find the probability of having exactly 2 girls and 3 boys (in that order), we need to consider that each child has an independent probability of being a boy or a girl, which is 1/2 for each. Since we want exactly 2 girls and 3 boys, the probability can be calculated by multiplying the probabilities of having a girl and a boy five times in a row, resulting in (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32.

For the probability of having at least one boy, we can consider the complement event, which is the probability of having all girls. The probability of having all girls can be calculated by multiplying the probability of having a girl five times, which is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32. Therefore, the probability of having at least one boy is 1 - 1/32 = 31/32.

In conclusion, the probability of having exactly 2 girls and 3 boys (in that order) is 1/32, and the probability of having at least one boy is 31/32.

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The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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The area principle is a fundamental concept in data visualization that states that the size of a graphical element (such as a bar, a pie slice, or a bubble) should be proportional to the quantity it represents.

In other words, the area of the graphical element should accurately reflect the magnitude of the data it is displaying. This principle is particularly important when comparing quantities, as it allows the viewer to quickly and accurately perceive the relative differences between them. For example, if two bars in a bar chart have the same width but different heights, the viewer may be misled into thinking that the two quantities are closer in magnitude than they actually are.

The area principle is often applied in conjunction with other principles of good data visualization, such as using clear and simple designs, avoiding clutter, and choosing appropriate scales and units. The goal is to create visualizations that are not only aesthetically pleasing but also informative and effective in communicating the underlying data.

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Answer:

The answer is below

Step-by-step explanation:

An integer is a whole number which is either positive, negative or zero.

Given that:

P=(x | x is an integer divisible by 2}. An integer divisible by 2 can be represented by 2k, where k is an integer, hence:

P = (..., -6, -4, -2, 0, 2, 4, 6, ...)

Q= (x | x is an odd integer). An odd integer can be represented by 2k + 1, where k is an integer, hence:

Q = (..., -5, -3, -1, 1, 3, 5, 7, 9 ...)

R = (x | x is an integer divisible by 3). An integer divisible by 3 can be represented by 3k, where k is an integer, hence:

R = (..., -12, -9, -6, -3, 0, 3, 6, 9, ...)

From the above we can see that Q and P are disjoint set, that is P ∩ Q = 0

But P and R have common numbers (..., -6, 0, 6, 12,...) i.e. P ∩ R ≠ 0

Also Q and R have common numbers (..., -3, 3, 9,...) i.e. Q ∩ R ≠ 0

The question and answer is attached

Answer:

FIRSTTTTTT GRAPHHHH

Step-by-step explanation:

The Triangle Inequality Theorem states that any two sides of the triangle must add up to be greater than the third side.

Here we have a triangle that has side lengths of 10 in, 11 in, and ? in.

This last side length must add up to 10 in to be greater than 11 in.

The least possible whole number that would fit this description would be 2 in.

The missing side length should be labeled as 2 inches.

We are given a triangle with side lengths of 6 in and 8 in. We are asked to choose all answers that apply from this list:

We can tell that 2 in cannot be an answer since 6 in + 2 in is not greater than 8 in.

We also know that 14 in and 15.5 in cannot be part of the answer choices since 8 in + 6 in = 14 in, and this is not greater than 14 in or 15.5 in.

The rest of the answer choices will form a triangle if we follow the Triangle Inequality Theorem. You can test it out yourself to check.

Therefore, the answer choices are:

We are given these possible side lengths:

Let's test out which combinations will create a triangle.

The straw lengths 2, 4, and 5 will form a triangle.

The straw lengths 2, 5, and 6 will form a triangle.

The straw lengths 2, 4, and 6 will NOT form a triangle.

The straw lengths 4, 5, and 6 will form a triangle.

The straw lengths 5, 6, and 10 will form a triangle.

We have no more straw lengths that will form a triangle, since adding up each remaining pair of given straw lengths do not output a value greater than another number.

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Their young daughter was starting to feel threatened by her father's actions. Despite Sara's pleadings for him to show her compassion, he maintained that he had the right to act however he pleased because he was her father.

Sara's husband harassed the couple through texts, calls, and threats to take their kid away while Sara and her husband were away from the house. Once, when he visited the house, he acted in such a menacing and violent way that Sara was worried and called the police. Despite being jailed, her spouse was not charged. He asserted that she had called the police to support her case against him. Red may be blood or even the result of a clean cut. Because individuals are hurt and bleed when they do, I believe blood would be the best. According to Johari Window, Sara is a Hidden Area or Hidden Self form of self. We refer to the information you withhold from others as a secret area.

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Answer:

65% of the orginal fee or $130.

Step-by-step explanation:

You didn't put the answer options so I am not sure how you want the question to be answered. There are three ways I would write it:

1:  100% = 10% + 25% + 65%

2:  200 = 20 + 50 + 130

3:  200 = (0.1 x 200) + (0.25 x 200) + (0.65 x 200)

All of them basically mean the same thing it is just a matter of how you need it written.

Based on the amount to be paid and the percentage paid in each installment, the expression for the third payment is 65% x 200.

Rodney has to pay $200 in three installments.

The third installment will be:

= Percentage in total - Percentages paid already

= 100% - 10% - 25%

= 65%

The third installment is therefore:

= Percentage to be paid x Amount

= 65% x 200

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Answer:

you should pay attention in class.

Step-by-step explanation:

Kristen is attempting to solve the equation \(0=\sqrt{6x}-x\). Hence, option b. is the correct answer.

A radical equation has no solution if the square root of a negative number is involved in the equation. The left-hand side of equation b, √(6x), is always non-negative. But the right-hand side, -x, can be negative. So, there is no value of x that can satisfy the equation.

In other words, there is no real number x that would make the left-hand side equal to the right-hand side, so equation b has no solution.

Hence, Kristen is attempting to solve equation 0 = √(6x) - x.

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The complete question is -

Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve?

a. \(\sqrt{27+6x} =x\)

b. \(0=\sqrt{6x}-x\)

c. \(\sqrt{4-x}+9=0\)

d. \(\sqrt{\frac{x}{8}} = \sqrt{90-x}\)

Answer:

8

Have a great day!

Step-by-step explanation:

middle number is 1

coz if u count it

Answer:

10 quarts

Step-by-step explanation:

In the given public good provision game, player 1's expected payoff for contributing and not contributing depends on player 2's cutoff point (C*₂). When player 1 contributes, their payoff is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. When player 1 does not contribute, their payoff is always 0.

In this public good provision game, player 1's decision to contribute or not contribute depends on their private cost, C₁, and player 2's cutoff point, C*₂. If player 1 contributes, they incur a cost of C₁ but gain access to the public good valued at v dollars. However, if C₁ is greater than or equal to C*₂, player 1's expected payoff for contributing would be 0 since player 2 would not contribute.

On the other hand, if player 1 does not contribute, their expected payoff is always 0, as they neither incur any cost nor receive any benefit from the public good. Therefore, player 1's expected payoff for not contributing is constant, irrespective of the cutoff point.

To determine player 1's expected payoff for contributing, we consider the case when C₁ is less than C*₂. In this scenario, player 2 contributes to the public good, allowing both players to consume it. Player 1's payoff would then be v - C₁, which represents the value of the public good minus their cost of contribution. However, if C₁ is greater than or equal to C*₂, player 1's contribution would be futile, as player 2 would not contribute. In this case, player 1's expected payoff for contributing would be 0, as they would not gain access to the public good.

In summary, player 1's expected payoff for contributing is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. On the other hand, player 1's expected payoff for not contributing is always 0. Therefore, when C₁ is low, player 1 would prefer to contribute, as long as the cost of contribution is less than player 2's cutoff point.

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Answer:

x = a(c-b)

Step-by-step explanation:

x/a + b = c

      -b    -b

       x/a = c - b

times a      times a

x = a(c-b)

Answer:

The answer should be x=ac-bc.

Step-by-step explanation:

You should start with multiplying the both sides a+b. The left hand side of the equation will cancel out and we'll be left with, x. At the right hand side, we have c.(a+b), which is equal to ac+bc and this value is equal to x.

I thought that the question was \(\frac{x}{a+b}=c\).

The correct solution is, may be because of the question's second look of mine is, x=a(c-b). You subtract b from the both sides, then you'll multiply both sides with a, and the answer will be x=ac-ab.

Answer:

u = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Greetings !

Given expression

\(3u + 9 - 8u = - 31\)

Group like terms of the expression

\(3u - 8u + 9 = - 31\)

Add similar elements

\(3u - 8u = - 5u\)

Thus,

\( - 5u + 9 = - 31\)

subtract 9 from both sides

\( - 5u + 9 - 9 = - 31 - 9\)

simplify

\( - 5u = - 40\)

then divide both sides of the expression by -5.

\( \frac{ - 5u}{ - 5} = \frac{ - 40}{ - 5} \)

simplify

\(u = 8\)

Hope it helps!

Answer:

56.549 feet

Step-by-step explanation:

Diameter. ft in m

18′0″ 56.55. 678.6 17.24

18′1″ 56.81.

18′2″ 57.07. 684.9

18′3″ 57.33. 688.0

18′4″ 57.60. 691.2

18′5″ 57.86. 694.3 17.64

18′6″ 58.12. 697.4 17.71

18′7″ 58.38 700.6 17.79

18′8″ 58.64 703.7 17.87

18′9″ 58.90. 706.9 17.95

18′10″ 59.17. 710.0 18.03

18′11″ 59.43. 713.1 18.11

Answer:

See Explanation

Step-by-step explanation:

Let us assume that \( 5\sqrt 7\) is a rational.

Therefore, it can be expressed in the form of \( \frac{p}{q}\), where p and q are integers.

\( \implies 5\sqrt 7=\frac{p}{q}\)

\( \implies \sqrt 7=\frac{p}{5q}\)

\( \because \) p and q are integers.

\( \therefore \frac{p}{5q}\) is a rational number.

\( \implies \sqrt 7\) is rational (\( \because \) quotient of a rational number is rational)

But, it contradicts the fact that \(\sqrt 7\)is irrational.

So, \(5\sqrt 7\) is also irrational, because the product of rational and irrational is irrational.

This contradiction is arising out because of our wrong assumption that \( 5\sqrt 7\) is rational.

Hence, \( 5\sqrt 7\) is irrational.

The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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Answer:

6 batches

Step-by-step explanation:

3/4 divided by 1/8 = 6/8 divided by 1/8 = 6 batches

Answer:

Given ABCD ~ EFGH

FG = BC(EF/AB)

FG = 7(9/6)

FG = 63/6

FG = 10.5

GH = CD(EF/AB)

GH = 11(9/6)

GH = 99/6

GH = 16.5

EH = AD(EF/AB)

EH = 12(9/6)

EH = 108/6

EH = 18

Answer:

x=133 y=-25

Step-by-step explanation:

I'll do both ways for you. So let's start with Substitution:

With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.

x + 2y = 83    &    x + 5y = 8

Solve for x.

x = 83 - 2y     &    x = 8 - 5y

Once you have solved for x, set each equation equal to one another and solve for y now.

83 - 2y = 8 - 5y

Isolate all variables to one side:

83 = 8 - 3y

Now subtract the 8 to fully isolate the y variable:

75 = -3y

Divide by -3:

-25 = y   Now that you have your first variable, plug it into one of the original equations and solve for x.

x + 2(-25) = 83

x - 50 = 83

x = 133

Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:

Put each equation on top of one another and subtract:

  x + 2y = 83

- (x + 5y = 8)

The x's will cancel out:

(x - x) + (2y - 5y) = (83 - 8)

Simplify:

-3y = 75

Solve for y

y = -25

Then, plug y = -25 into one of the original equations:

x + 5(-25) = 8

Solve for x:

x - 125 = 8

x = 133

Hope this helps!

When a plane passes through the vertex of a double-napped cone, the intersection is a degenerate conic section.

A double-napped cone is formed by rotating a straight line around another straight line that is parallel to it.

The intersection of a plane with a double-napped cone is referred to as a conic section. A degenerate conic section is formed when a plane intersects a double-napped cone at the vertex.

Thus, when a plane passes through the vertex of a double-napped cone, the intersection is a degenerate conic section.

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Answer:

52°

Step-by-step explanation:

The measure of angle between the ladder and the ground is given as:

Sum of angles in a triangle

38° + x° + 90° = 180

128°+X° = 180°

X° = 180-128

X= 52°

Hence the angle x = 52°

Answer:

the answer is still 0.625

Step-by-step explanation:

the tenths digit is 6, the hundreds digit is 2 and the thousabds digit it 5. SInce it doesn't pass the thousands digit it's fine how it is.

The round off of 0.625 to the nearest thousandth results in 0.626.

To round 0.625 to the nearest thousandth, focus at the digit in the thousandth's place, which is the third decimal place.

In this case, the digit in the thousandth's place is 5.

Since 5 is exactly halfway between 0 and 10, we round up the previous digit, which is 2.

Therefore, rounding 0.625 to the nearest thousandth results in 0.626.

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Answer: 1/64 x 3y

Step-by-step explanation: If what they're asking is for you to simplify this answer then the answer should be 1/64 x 3y. :)

Answer:

$2720

15%= 480

3200-480=

$2720