I need help ASAP The angle measures of a triangle are shown in the diagram. 50° les (3x - 10) ° What is the value of x? F25 G 20 H 10 ) 28 search C​

Answer:

george washington

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

5/9 of 54 are the ones which have chocolate, so we need to multiply the fraction by 54

5/9 * 54 = 30

Since 30 pieces of candy have chocolate, then 24 don't have it. 2/3 of the last number are the ones which have gum, multiply 2/3 by 24 to get the answer:

2/3 * 24 = 16.

The answer is: 16 pieces of candy have gum

The theoretical yield of silicon carbide is approximately 33.37 grams when 50.

to determine the theoretical yield of silicon carbide, we need to calculate the amount of silicon dioxide (sio2) and carbon (c) that will react completely, based on the balanced chemical equation. the balanced equation for the reaction is:

sio2 + 3c → sic + 2co

from the equation, we can see that 1 mole of sio2 reacts with 3 moles of c to produce 1 mole of sic.

first, let's convert the given masses of sio2 and c into moles using their molar masses:

molar mass of sio2: 60.08 g/molmolar mass of c: 12.01 g/mol

moles of sio2 = 50.0 g / 60.08 g/mol ≈ 0.832 mol

moles of c = 79.0 g / 12.01 g/mol ≈ 6.579 mol

since the balanced equation indicates a 1:3 mole ratio between sio2 and c, the limiting reactant is sio2 because we have fewer moles of sio2 compared to the stoichiometric ratio.

to calculate the theoretical yield, we use the stoichiometry of the reaction:

moles of sic = moles of sio2 (0.832 mol) × (1 mol sic / 1 mol sio2) = 0.832 mol sic

finally, we convert the moles of sic into grams using the molar mass of sic:

molar mass of sic: 40.10 g/mol

theoretical yield of sic = moles of sic × molar mass of sic

= 0.832 mol × 40.10 g/mol≈ 33.37 g 0 grams of silicon dioxide reacts with 79.0 grams of carbon.

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Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial.   when the number of trials is sufficiently large we use normal distribution instead of binomial distribution which leads the condition to use normal approximation to the binomial rather than binomial probability distributions

many experiments consist of repeated independent trials .each trial has two possible complementary outcomes such as the trial may be a head or tail, success and failure right or wrong, etc. know if each probability of outcome remains the same throughout the trial then such trials are called "binomial trials" and experiments are called "a binomial experiment". its probability distribution is called binomial probability distribution denoted by 'P'.

A continuous random variable having a bell-shaped curve is called a normal random variable with mean and variance and distribution thus is called Binomial probability distribution depending on the number of trials n of a binomial experiment and the probability of success p on each trial.  

know when a number of trials are sufficiently large we use normal distribution instead of binomial distribution this is what the normal approximation does.

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Answer:

1.732i (complex form)

its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct

Step-by-step explanation:

Answer: C) $33

Step-by-step explanation:

1973 tax rate :

2% on the first $1000 income

3% on next $2000 or any part thereof ;

Brown's total income of $1800

2% of $1000

0.02 × $1000 = $20

3% of $800

0.03 × 800 = $24

Total tax = $(20 + 24) = $44

1/4 tax deduction:

(1/4) of total tax

(1/4) × $44

0.25 × $44

= $11

Total tax - tax deduction

$44 - $11 = $33

Tax amount = $33

We can say with 95% confidence that the average yearly salary of top managers in the private sector is between $6,670 and $13,330 higher than the average yearly salary of top managers in the government sector.

The formula for calculating the confidence interval for the difference between two means where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes, t(a/2,n1+n2−2) is the t-distribution value for the desired confidence level and degrees of freedom, and t is the significance level (in this case, = 0.05).

Plugging in the values from the given data, we get:

(90−80)±(0.025,108)∗(6²/50+8²/60)¹/₂

Simplifying this expression, we get:

10±1.98∗1.634

Therefore, the 95% confidence interval for the difference between the average salaries of top managers in private and governmental organizations is:

(6.67, 13.33)

This means that we can be 95% confident that the true population parameter falls within this range.

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Complete Question:

In order to estimate the difference between the average yearly salaries of top managers in private and governmental organizations, the following information was gathered:

                                                               Private                              Government

Sample size                                                       50                                          60

sample mean                                                     90                                          80

Sample standard deviation                          6                                                8

Develop an interval estimate for the difference between the average salaries of the two sectors. Let alpha = .05.

Answer:

y=6

Step-by-step explanation:

According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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Answer:

14.99s-15g

Step-by-step explanation:

The statement that f has a simple zero at z=0 and vanishes nowhere else in |z|≤1 implies that the function f is non-vanishing and has a derivative that does not vanish at z=0.

From this, we can use the Implicit Function Theorem which states that if f is holomorphic in a neighborhood of a point (a,b) and f(a,b)=0 and ∂f/∂y(a,b)≠0, then there exists an open neighborhood U of a and a unique holomorphic function g:U→R such that g(a)=b and (x,g(x)) is a solution of the equation f(x,y)=0 for all x in U.

In this case, since f(z) has a simple zero at z=0 and f'(0)≠0, by the Implicit Function Theorem, there exists an open neighborhood U of 0 and a unique holomorphic function h:U→C such that h(0)=0 and f(h(ϵ))=0 for all ϵ in U. Hence, fϵ(z) has a unique zero in |z|≤1.

Also, since f and g are holomorphic in a region containing the disc |z|≤1 and ϵ is continuous, it follows that fϵ is holomorphic in the same region. Thus, by the holomorphicity of fϵ and h, the mapping ϵ↦zϵ is continuous.

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The probability that  a product attains a good review is 0.6125

The given information can be tabulated as follows.

Success type          High             Moderate              Low            Total

                               0.40                   0.35                 0.25             1

Good reviews          0.95                    0.60                0.10

Combined prob       0.4*0.95             0.35*0.6          0.25*0.1

                                0.38                    0.21                  0.025       0.6125

A)the likelihood that a product will receive a favorable review = Prob it is successful and receives a favorable review + Prob it is moderately successful and receives a favorable review + Prob it is unsuccessful and receives a favorable review = 0.6125

B) If a new design receives positive feedback, there is a 0.62 percent chance that it will be a highly successful product.

C) Chance of not receiving a favorable review: (0.40*0.05)

+0.35(0.4) +(0.25)*0.9\s= 0.385

Prob for successful but not receiving a favorable evaluation is 0.40(0.05) = 0.02; required prob is 0.0519.

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Step-by-step explanation:

3x² - 5x - 7 ÷ x + 3 = 3x - 14

- 3x² + 9x

-------------------

0 -14x - 7

- -14x -42

---------------------

0 + 35

so, the division is

(3x² - 5x - 7) / (x + 3) = 3x - 14 + 35/(x+3)

quotient = 3x - 14

remainder = 35

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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Out of a randomly selected 1050 people from the population with a normally distributed IQ scores (mean=100, standard deviation=15), approximately 68 individuals would have an IQ between 87 and 95.

IQ scores follow a normal distribution, also known as a Gaussian distribution or bell curve. In this case, the mean IQ is given as 100, and the standard deviation is 15. The standard deviation represents the spread or dispersion of the IQ scores around the mean.

To determine the number of people with an IQ between 87 and 95, we can use the properties of the normal distribution. Approximately 68% of the data falls within one standard deviation of the mean. Since the standard deviation is 15, we can calculate the range within one standard deviation below and above the mean as follows:

Lower range = mean - standard deviation = 100 - 15 = 85

Upper range = mean + standard deviation = 100 + 15 = 115

Thus, individuals with IQ scores between 87 and 95 fall within one standard deviation below the mean. This range is equivalent to approximately 34% of the data. To find the number of people in this range, we can multiply 34% by the total number of people, which is 1050:

Number of people = 34% * 1050 = 0.34 * 1050 = 357

Therefore, approximately 357 individuals out of the randomly selected 1050 people would have an IQ between 87 and 95, rounding to the nearest whole number.

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

To find day on which rainfall was highest, we need to determine the maximum value of the function f(t) = 220t + 101. This occurs when derivative f'(t) = 220 is equal to 0. 220t + 101 = 0, we find t = -101/220.

However, since t represents the number of days and cannot be negative, there is no maximum rainfall in this case.To find the day on which the rainfall per day was increasing the fastest, we need to find the maximum value of the derivative f'(t). Since f'(t) is constant at 220, the rainfall per day is increasing at the same rate throughout the entire month of May.

(b) The integral of f(t)dt calculates the accumulated rainfall over a specific time interval. It represents the total amount of rainfall in mm that occurred during that time period. By finding the definite integral of f(t) over a specific interval, we can determine the total rainfall during that interval.(c) If F(t) is an antiderivative of f(t), it means that F'(t) = f(t). Since the derivative of F(t) is equal to f(t), it implies that the rate of change of F(t) is determined by f(t). Since f(t) = 220, which is a positive constant, the function F(t) will always be increasing. This is because a positive constant rate of change leads to an increasing function.

(d) Given that a total of 150mm of rain fell in May 2022, we can draw a rough sketch of the antiderivative function F(t) of f(t) starting with F(0) = 0. Since F(t) represents the accumulated rainfall, the graph of F(t) will be a linear function with a positive slope of 220. We can plot a point at (0, 0) and draw a line with a slope of 220 to represent the accumulation of rainfall over time. There are no maxima, minima, or inflection points since f(t) = 220 is a linear function.(e) If F(0) = 20, it would not change the function f(t). The value of F(0) represents the initial accumulated rainfall, but it does not affect the rate at which rainfall is increasing or the shape of the function f(t). The function f(t) = 220t + 101 would remain the same, and only the vertical shift of the graph of F(t) would change.

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Answer:

y = -1/4x - 1.

Step-by-step explanation:

y = 4x + 5

The slope of this is 4 so the slope of line perpendicular to this line = -1/4.

Using the formula y - y1 = m(x - x1):

y - (-1) = -1/4(x - 0)

y + 1 = -1/4x

y = -1/4x - 1.

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The size of the F-ratio value would increase as the numerator of the F-ratio (MS Between) increased and The size of the F-ratio value would increase as the numerator of the F-ratio (MSBetween) increased.

Given that,

The F ratio can be defined as,

F =Mean Sum of Squares of between treatments / Mean Sum of Squares of within treatments

F =MS Between /MS within

Increase the difference between the sample means.

As the difference between the sample means increases, between treatments has larger effect

(MS known ) . This affects the numerator of F-ratio.

Hence, As numerator of F-ratio ( MS Between ) increases, the size of the F-ratio value would increase.

Increase the size of sample variances.

As the size of sample variance increases, with treatments has larger effect ( MS within ). This

affects the denominator of F-ratio.

Hence, As the denominator of F-ratio (MS Within ) increases. The size of F-ratio will decrease.

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Answer:

5

Step-by-step explanation:

Plug 1 into the x.

So 2(1)+3

2+3

5 is your final answer.

Considering the definition of an inequality, the inequality that best represents this scenario is 35x + 60y≥ 7000

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being:

the inequality that expresses the scenario is

35x + 60y≥ 7000

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Answer:

I am so sorry to say that you are the one who made the miatake. Better luck next time!

Thus, Tony runs at a speed of 13 feet per second, Zach runs at a speed of 12.87 feet per second, Ron runs at a speed of 10 feet per second, and Liz runs at a speed of 9.95 feet per second.

Tony runs at a speed of 13 feet per second, which means he covers a distance of 13 feet in one second.

Zach, on the other hand, runs 296 feet in 23 seconds, so we need to calculate his speed. To do that, we divide the distance by the time, which gives us 12.87 feet per second.

Ron runs one mile in 527 seconds, which is equivalent to 5,280 feet. Therefore, his speed is 10 feet per second, which is the same as running at a pace of 6 minutes per mile. Finally, Liz runs 597 feet in one minute, so her speed is 9.95 feet per second.

In summary, Tony runs at a speed of 13 feet per second, Zach runs at a speed of 12.87 feet per second, Ron runs at a speed of 10 feet per second, and Liz runs at a speed of 9.95 feet per second.

It's important to note that the distances and times given in these examples are specific to each person and may vary depending on the circumstances.

However, by calculating their speeds, we can compare their performances and determine who is running faster or slower than the others.

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Answer:

i think... x=6

Step-by-step explanation:

3x+9=x+21

3x−x=12

2x=12

x=6

The mean of a discrete uniform random variable can be found by taking the average of the minimum and maximum values in its range. The correct answer is 18.0 (option c).

The mean represents the average value of the random variable. In a discrete uniform distribution, all values in the range have equal probabilities, and the mean is the midpoint of the range. In this case, the range is from 12 to 24, so the midpoint is (12 + 24) / 2 = 18.

In this case, the random variable X ranges from 12 to 24. Therefore, the mean of X is the average of these two values, which is 18. Therefore, the mean of the discrete uniform random variable X is 18..So, the correct answer is 18.0 (option c).

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Answer:

\(172\frac{1}{2}\) gallons

Step-by-step explanation:

Considering she waters her plants with 25 1/2 gallons  i.e 51/2

and with the new system, she does it with 19 3/4 i.e 79/4

taking the difference:

\(\frac{51}{2} - \frac{70}{4}\) = \(\frac{23}{4}\) gallons per day

For 30 days:

30 x \(\frac{23}{4}\) = 172.5 or \(172\frac{1}{2}\) gallons

Answer:

AC = DF, AB/BC=DE/EF

Step-by-step explanation: