Evaluate math pls help algebra

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 2500\\ P=\textit{original amount deposited}\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years\dotfill &8 \end{cases} \\\\\\ 2500 = Pe^{0.075\cdot 8}\implies \cfrac{2500}{e^{0.075\cdot 8}} \implies 1372.03\approx P\)

Answer:

On average, you can expect to win $21.00 in this scenario.

Step-by-step explanation:

The expected value of this scenario can be calculated as follows:

Expected value = (Probability of Heads x Payoff of Heads) + (Probability of Tails x Payoff of Tails)

The probability of getting Heads or Tails is both 0.5 (assuming a fair coin). Therefore:

Expected value = (0.5 x $179) + (0.5 x -$137)

Expected value = $89.50 - $68.50

Expected value = $21.00

Therefore, on average, you can expect to win $21.00 in this scenario. However, it's important to note that this is just an average and that in any given flip, you could win or lose the full amount.

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Now I am not sure what length you're supposed to find for problem 9, but x = 3.3 i think.

10.)

(14+x)+(x+21) = 13

2x+35=13

2x = -22

x = -11

FE = -11 + 14 = 3 units

11.)

10 + 2x - 10 = 3x - 8

2x = 3x - 8

-x = -8

x = 8

10 + 2(8) -10 = 16 units

Answer:

3.3

Step-by-step explanation:

The .2 is the tenths place, so you use the hundredths place (the 6A) to turn the .2 into a .3

Answer:

3.3

Step-by-step explanation:

The condition that guarantees the property of the sample average is "independent trials: each sample is an independent event, drawn with replacement, or drawn from a population at least 10 times the sample size."

SRS (Simple Random Sample): This condition states that the sample is randomly chosen from the population. While random sampling is important for generalizability, it does not directly guarantee the property of the sample average.

Random sampling helps ensure that the sample is representative of the population, but it doesn't guarantee anything about the behavior of the sample average.

Large Sample or Normal Population: This condition states that the sample size is at least 30, or the population is approximately normal. The central limit theorem tells us that for large sample sizes (typically n ≥ 30), the distribution of the sample mean approaches a normal distribution, regardless of the population distribution.

This condition is relevant for inferential statistics, such as constructing confidence intervals or performing hypothesis tests. However, it is not necessary to guarantee the property of the sample average.

The condition of "independent trials" or "drawn from a population at least 10 times the sample size" ensures that each sample is an independent event. Independence means that the outcome of one sample does not affect the outcome of another sample.

This condition is crucial for the property of the sample average because it allows for the assumption of independence among the observations.

If the samples are drawn with replacement, it ensures independence because each selection is made independently of previous selections.

If the population size is at least 10 times the sample size and samples are drawn without replacement, it also ensures independence since the population is large enough for each selection to be considered independent.

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we can calculate the slope with 2 points one more to the right than the other

i will use this points

and the equation of the slope

where the point (x2,y2) is the point to the right on this case (4,140) and (x1,y1)=(2,70)

the slope is 35, so you multiply the hours by 35 to find the Miles

Miles at 10 hours

we just multiply the hours by 35

37.9 Celsius is equal to 100.22 Fahrenheit.

To convert Celsius to Fahrenheit, you can use the following formula: Fahrenheit = (9/5) * Celsius + 32.So when you plug in 37.9 for Celsius, you get: Fahrenheit = (9/5) * 37.9 + 32 = (37.9*9/5) + 32 = 68.982 + 32 = 100.22.

It's important to note that the Fahrenheit and Celsius scales are different ways of measuring temperature. The Fahrenheit scale is used primarily in the United States, while the Celsius scale is used in most other countries.

It is important to be able to convert between the two scales in order to understand temperature measurements in different parts of the world. Knowing the conversion formula or having a conversion table handy allows to convert quickly and easily between the two scales.

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Answer:

D

Step-by-step explanation:

For the first inequality, you subtract 8 from 10, which leaves you with 2x < 2. Then to get X by it self, you divide by 2 on both sides. So, you are left with X<1. For the second equality, you subtract 8 from 20, which leaves you with 2x > 12. Then like the first equality, you divide on both sides to get X by itself. So you're left with X > 6. Hope this helps.

Answer:

30 in length 24inches width

Step-by-step explanation:

Multiply the multiples if 5 and 4 together until you reach 720.

5*4=20

10*8=80

15*12=180

20*16=320

25*20=500

30*24=720

Your length is 30 in and your width is 24in.

if this trapezoid is to scale, then the scale factor between the shortest and longest side is 1.5

so, that means that 1.5(2x+6) = 4x+2

so, your equation becomes 3x+9 = 4x+2

if you subtract 2 from each side, you get 3x+7 = 4x

meaning that x = 7

i hope this helps, and i'm sorry if it's wrong!! :)

Answer:

\(|T - B| \leq 2\)

Step-by-step explanation:

Represent Tyler with T and Benjamin with B

Solving (a):

Since T is within 2 of B, then

\(T - B \leq 2\) or \(B - T \leq 2\)

These two inequalities can be merged to form:

\(|T - B| \leq 2\)

There's no enough information to answer the B part

The domain of f is (1,3,4,7)

The number of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input.

Here The domain of f is (1,3,4,7)

the range of function f is (1,3,4,8)

so, simply domain is set of values that function acts .

range is set of values that function takes.

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Answer:

1400 ml is 66.67% of 2.1 L

To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.

A 90% confidence interval for the population mean weight of the candies is constructed, and the lower bound is determined.

To construct a 90% confidence interval for the population mean weight of the candies, we need a sample of candy weights and their corresponding data. Let's assume we have collected a random sample of candy weights and computed their mean and standard deviation.

First, we calculate the standard error of the mean (SEM) using the formula SEM = (standard deviation)/(sqrt(sample size)). Then, we determine the critical value corresponding to a 90% confidence level from the t-distribution table or calculator.

Next, we calculate the margin of error by multiplying the critical value by the SEM. The margin of error represents the maximum distance from the sample mean within which the population mean is expected to lie.

Finally, we construct the confidence interval by subtracting the margin of error from the sample mean to obtain the lower bound. Rounding this value to three decimal places will provide the lower bound of the 90% confidence interval for the population mean weight of the candies.

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Answer:

time = 70 minutes

Answer:

x=24

Step-by-step explanation:

============================================================

Work Shown:

Corresponding angles are congruent when we have parallel lines.

5x-10 = 2x+20

5x-2x = 20+10

3x = 30

x = 30/3

x = 10

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

5x-10 = 5*10-10 = 50-10 = 40

2x+20 = 2*10+20 = 20+20 = 40

Each angle is 40 degrees, which helps confirm our answer.

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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The value of set of side lengths can be used to construct a triangle are,

⇒ 3, 5, 7

We have to given that;

To find the set of side lengths can be used to construct a triangle.

Now, We know that;

The sum of two side of a triangle is always greater than third side.

Hence, We can check all options as;

⇒ 3, 4, 9

Since, 3 + 4 = 7 < 9

Hence, It does not form a triangle.

⇒ 3, 5, 7

Since, 3 + 5 = 8 > 7

Hence, It form a triangle.

⇒ 3,5, 8

Since, 3 + 5 = 8 = 8

Hence, It does not form a triangle.

⇒ 2, 6, 8

Since, 2 + 6 = 8 = 8

Hence, It does not form a triangle.

Thus, The value of set of side lengths can be used to construct a triangle are,

⇒ 3, 5, 7

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what is even numbers and

Answer:

slope = - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

Answer:    6% sales tax rate

Step-by-step explanation:

Using the empirical rule, we can determine that approximately 15.87% of IQ scores are at least 77.

According to the empirical rule, for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

To find the percentage of IQ scores that are at least 77, we need to calculate the z-score for 77 using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

z = (77 - 101) / 12 = -24 / 12 = -2

Since 77 is 2 standard deviations below the mean, we know that approximately 95% - 2% = 15.87% of the IQ scores will be at least 77. Therefore, approximately 15.87% of IQ scores are at least 77, based on the empirical rule.

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The exact value of the expression is -1.

The expression involves tan 25° and tan 110°. The expression you provided is:

tan 25° + tan 110° / (1 - tan 25° tan 110°)

First, we need to recognize that tan (180° - x) = -tan x. Since 110° = 180° - 70°, we have:

tan 110° = -tan 70°

Now, we can rewrite the expression as:

tan 25° - tan 70° / (1 + tan 25° tan 70°)

Next, we can apply the tangent addition formula, which is:

tan (a - b) = (tan a - tan b) / (1 + tan a tan b)

Comparing this formula with our expression, we see that a = 25° and b = 70°. So, the expression simplifies to:

tan (25° - 70°) = tan (-45°)

Since tan (-x) = -tan x, we have:

tan (-45°) = -tan 45°

Lastly, we know that tan 45° = 1, so:

-tan 45° = -1

Therefore, the exact value of the expression is -1.

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Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right so yeah thsi should be it. yw btw!

Step-by-step explanation:

Answer:

6a - 6b

7+(6xy-4)

Step-by-step explanation:

here this probally will help

Answer:

5, 3

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

Answer:

16 runner

Step-by-step explanation:

It is given that,

Each group will need to run a race that is 1/2 of a mile long. Each runner has to run 1/8 of a mile in the race.

Let there are x no of runners. ATQ,

\(\dfrac{1}{8}x=\dfrac{1}{2}\\\\x=\dfrac{(1/2)}{(1/8)}\\\\x=16\)

So, there are 16 runner that are needed for each relay race group.

Answer:

Step-by-step explanation:

Add 1/2+1/2=1/1 or 1

If she needs 1/8 runners

Half of 1/8 is 1/4 or 1x4=4

Or 2x2=4