Convert the units to the nearest tenth.
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grams = 10 ounces

Answer:

\(g = \frac{b}{2} + 2 + h\)

Step-by-step explanation:

\(2(g - h) = b + 4 \\g - h = \frac{b}{2} + \frac{4}{2}\\g = \frac{b}{2} + 2 + h\)

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How to calculate axis of symmetry:

Plug your numbers into the axis of symmetry formula. To calculate the axis of symmetry for a 2nd order polynomial in the form ax 2 + bx +c (a parabola), use the basic formula x = -b / 2a. In the example above, a = 2 b = 3, and c = -1. Insert these values into your formula, and you will get:

How to calculate vertex:

The vertex form of a quadratic is given by

y = a(x – h)2 + k, where (h, k) is the vertex.

The "a" in the vertex form is the same "a" as

in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down. Think of it this way: A positive "a" draws a smiley, and a negative "a" draws a frowny. (Yes, it's a silly picture to have in your head, but it makes is very easy to remember how the leading coefficient works.)

In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

Suppose that "a" is positive, so a(x – h)2 is zero or positive and, whatever x-value you choose, you're always taking k and adding a(x – h)2 to it. That is, the smallest value y can be is just k; otherwise y will equal k plus something positive. When does y equal only k? When x – h, the squared part, is zero; in other words, when x = h. So the lowest value that y can have, y = k, will only happen if x = h. And the lowest point on a positive quadratic is of course the vertex.

If, on the other hand, you suppose that "a" is negative, the exact same reasoning holds, except that you're always taking k and subtracting the squared part from it, so the highest value y can achieve is y = k at x = h. And the highest point on a negative quadratic is of course the vertex.

To determine the number of aardvarks that were there last year, we will have to use the formula for exponential growth. Exponential growth is a type of growth that increases in size exponentially over time.

The formula for exponential growth is given by the equation:

\(Nt = N\times(1 + r)^t,\)

where N₀ is the initial population, r is the annual growth rate, t is the time in years, and Nt is the population after t years.Let's use this formula to find the number of aardvarks last year. Given that the current population of aardvarks is 756, and the growth rate is 8%, we can write the equation as

\(:Nt = N \times (1 + r)^t756 = N \times(1 + 0.08)^1So, N = 756 / (1 + 0.08)^1\)

Now, we need to find the population of aardvarks last year, which is t = 1 year before.

Thus, plugging in t = 1, we get

:\(N = 756 / (1 + 0.08)^1N= 700\)

Hence, there were 700 aardvarks last year.

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If alpha is held constant at .05, the relationship between sample size, the critical region, and the risk of a Type I error is, As sample size increases, the critical region expands and the risk of a Type I error decreases.

If the significance level is held constant at 0.05 and the sample size is increased, the critical region (the region where the null hypothesis is rejected) increases. Type I error is the probability of rejecting the null hypothesis when it is true.

Type-I Error:

The first type of error is when the testing procedure wrongly rejects the null hypothesis. This type of error is called a Type I error (false positive) and is sometimes referred to as a Type I error. In the case of a courtroom, a Type I error is the conviction of an innocent defendant.

Intuitively, a Type I error can be thought of as a commissioning error, where the researcher mistakenly assumes that something is fact. Take the example of a study in which researchers compare a drug to a placebo. If it happens that patients taking the drug do better than those taking the placebo, it may appear that the drug is working, but in reality the conclusion is wrong.

Critical region:

A critical region is a region of values ​​that corresponds to rejecting the null hypothesis at a selected probability level. The shaded area below the Student's t-distribution curve is equal to the significance level.

The thresholds are tabulated and can therefore be obtained from the student's t form or other suitable form. If the absolute value of the t-statistic is greater than the table value, then t is in the critical region.

Sample Size:

Sample size measures the number of individual samples or observations measured in a survey or experiment. For example, if you are testing 100 soil samples for acid rain, the sample size is 100. If an online survey returns 30,500 completed questionnaires, your sample size is 30,500. In statistics, the sample size is usually represented by the variable "n".

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Answer:

-500

Step-by-step explanation:

Using the order of operations, you first multiply the 15 by 34, to get 510. This turns the equation to 2+8-510, which can be simplified to 10-510. This equals 500.

Answer:

what is the question

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

its me makayla my account got blocked so this is my new one

Answer:

m= y2_ y1÷ x2-x1= 4-(-4) ÷ 3-(-2) = 8 ÷ 5

(a) The 95% confidence interval for proportion of residents in Muscat who consider television news as their major source of news is (0.485, 0.615).

(b) The sample-size of approximately 384 would be necessary to estimate the population proportion with a maximum error of 0.05 at a 95% confidence level.

To construct a confidence-interval for proportion of residents in Muscat who consider television news as their "major-source" of news, we use the  formula;

The Confidence-Interval = Sample Proportion ± Margin of Error

Part (a) : To calculate confidence-interval, we first find the sample proportion (p') and margin-of-error.

The Sample-Proportion (p') = Number of successes / Sample size

p' = 110 / 200 = 0.55,

The Margin-of-Error (ME) = Critical value × Standard Error

The "critical-value" depends on desired confidence-level. For 95% confidence-level, the "critical-value" corresponds to a z-score of 1.96.

The Standard-Error (SE) = √((p' × (1 - p')) / n)

Where n = sample size,

SE = √((0.55 × (1 - 0.55)) / 200) ≈ 0.033

Now we calculate the margin-of-error as :

ME = 1.96 × 0.033 ≈ 0.065,

Now, we construct the confidence interval:

Confidence Interval = 0.55 ± 0.065

Confidence Interval ≈ (0.485, 0.615)

So, the required confidence-interval is (0.485, 0.615).

Part (b) : To determine the sample size required to estimate the population proportion with "maximum-error" of 0.05 at a 95% confidence level, we use the formula:

Sample Size (n) = (Z² × p' × (1 - p'))/E²,

Where Z = critical value corresponding to desired confidence level,

p' = estimated proportion, and E = maximum error,

Using a Z-score of 1.96, and p' = 0.5 and E = 0.05, we calculate the sample size as :

n = (1.96 × 0.5 × (1 - 0.5)) / 0.05²

n ≈ 384.16

Therefore, the required sample-size is 384.

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Answer:

39.9°

Step-by-step explanation:

m∠C = β

sin β = \(\frac{52}{81}\) ⇒ β = arcsin \(\frac{52}{81}\) ≈ 39.9°

Answer:

39.9

Step-by-step explanation:

sinC=  

sin C = \{52}{81}

sinC=  

81

52

​  

C=\sin^{-1}{52}{81})

C=sin  −1 (  81 /52 )

C=39.9393\ 39.9^

C=39.9393≈39.9∘

Answer: D. -4

Step-by-step explanation:

-8 + -6 + -2 + 0 + -6 + -8 + 4 + -7 + -8 + 1= - 40

-40 divided by 10= -4

(You're dividing by 10 because there are 10 numbers that you added up)

The mean is -4.

The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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The formula in terms of h is 2A/b.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

The area of a triangle is 1/2 x base x height.

We have,

Area = A

Base = b

Height = h

Now,

Area of a triangle = 1/2 x base x height

A = 1/2 x b x h

Multiply 2 on both sides.

2A = bh

Divide both sides with b.

2A/b = h

Thus,

The formula in terms of h is 2A/b.

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Answer: A, D, B

Step-by-step explanation:

Answer:A,B,D

yw :):):)

Answer: sorry I dont know!

Step-by-step explanation:

The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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Answer:

Step-by-step explanation:

eq. of line parallel to 4x+3y=7 is

4x+3y=c ( a constant)

∵ it passes through (6,7)

4(6)+3(7)=a

24+21=a

a=45

reqd. line is

4x+3y=45

The spreadsheet simulation involves rolling four dice and recording the values of each dice, as well as the sums of the first, first two, first three, and all four dice.

When analyzing the frequency distributions, a common phenomenon that emerges is the bell-shaped distribution. This is expected because the sum of dice rolls follows a normal distribution. The distribution for the value of the first dice will be a uniform distribution since each outcome has an equal probability. However, as the sums of multiple dice are calculated, the distributions become progressively more bell-shaped. The sums of two dice will exhibit a triangular shape, with the peak occurring at the sum with the highest number of combinations (7), and the probabilities decreasing symmetrically on either side. The distribution for the sums of three dice will be more bell-shaped, and the distribution for the sums of four dice will be even closer to a perfect bell curve.

This phenomenon occurs because there are multiple ways to achieve the same sum with different combinations of dice rolls. For example, there are multiple ways to obtain a sum of 7 (e.g., 1+6, 2+5, 3+4, etc.), while there is only one way to achieve a sum of 2 (rolling four ones). As the number of dice increases, the probability of obtaining the average sum (which is the peak of the bell curve) becomes higher. Therefore, the frequency distributions demonstrate the predictable nature of probability in the context of rolling dice.

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Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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Answer:

nothing is in the question

Answer:

Complementary angles sum to 90°

Answer:

\(\overline{TH}\)

Step-by-step explanation:

The diameter of a circle is a line that goes from one side to the other in a circle. It is the longest straight line that can be drawn in a circle. It also goes through the center of a circle.

That is the answer

- Kan Academy Advance

Answer:

80 sandbags

Step-by-step explanation:

2000 lb / 25 lb = 80

Answer 80 sandbags

Answer:

80

Step-by-step explanation:

2000 divided by 25 is 80

Answer:

Using sin 0 = opposite/hypotenuse

We have 3/5 = x/15

Solving for x, we get x = 9.

Step-by-step explanation:

Answer:

vwhich principle prevents a brach from abusing  its power

Step-by-step explanation:

The correct answer is: D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.

In the given function g(x) = f(z - 6), the input variable "z" is being shifted to the right by 6 units. This means that any x-value in the original function f(x) will be replaced with (x - 6) in the function g(x).

Since f(x) is a constant function with a value of 10%, the graph of f(x) is a horizontal line at y = 10%. When we shift the input variable "x" to the right by 6 units in g(x), the horizontal line representing the function f(x) will also shift to the right by the same amount.

Therefore, the correct statement is that the graph of g(x) is the graph of f(x) shifted to the right 6 units.

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Answer:

no its not 50 points lier

Step-by-step explanation:

30 28 8 21 15

Answer:

1/12+1/3=5/12

1-5/12=7/12

Step-by-step explanation:

add fractions used

remaining space ,subtract used fraction from the total

Step-by-step explanation:

I don't see any answer choices, so I tell you the actual result and must pick the fitting answer option.

3x(6x² - 3x + 7) = 18x³ - 9x² + 21x