Which of the following is the sum of the series below?
3+9/2! + 27/3! + 81/4!+....
a. e^3 -2
b. e^3 -1
c. e^3
d. e^3 + 1
e. e^3 +2

The partial products of 242 × 28 are 4,000, 1,600, 840 and 336 and the value of 242 × 28 exists 6,776.

To estimate the partial product of two numbers, first, we write both numbers as the sum of the place values of the digits. Multiply each place value of the first number by the place value of the second number.

Given: 242 × 28

(200 + 42) × (20 + 8)

(200 × 20) + (200 × 8) + (42 × 20) + (42 × 8)

simplifying the above equation, we get

200 × 20 = 4,000

200 × 8 = 1,600

42 × 20 = 840

42 × 8 = 336

The above values are the partial product.

4,000 + 1,600 + 840 + 336 = 6,776

Therefore, the partial products of 242 × 28 are 4,000, 1,600, 840 and 336 and the value of 242 × 28 exists 6,776.

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Answer:

What I know -Identity and fraud

What I want to learn- Savings and Withdraw

Step-by-step explanation:

Don't worry i'm not to type of person to post links , I don't believe that's helpful.I think that would be a waste of time and all.

Answer:

(f) can you plz mark brainiest

Step-by-step explanation:

The given triangle is a right angle triangle, so side opposite to the right angle is always hypotenues.

By using the trigonometric ratio finding the perpendicular,

Here, perpendicular is the side opposite to the angle given is 30 degree.

Now, finding the third side by using Pythagorean theorem

Here, Base = 15 (given)

Thus, the correct answer is (2)

Answer:

the answer is b

Step-by-step explanation:

35 occurs the most on the graph meaning that it's the mode

Answer:

yes

Step-by-step explanation:

i multiply the 16 to the ratio of meters to feet and got 52.4934

(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].

(b) The 99% confidence interval has the widest interval.

(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.

Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.

Plugging in the values, we can calculate the confidence intervals:

90% confidence interval:

Lower bound = 436.5 - (1.645 * (11.9 / √20))

Upper bound = 436.5 + (1.645 * (11.9 / √20))

95% confidence interval:

Lower bound = 436.5 - (1.96 * (11.9 / √20))

Upper bound = 436.5 + (1.96 * (11.9 / √20))

99% confidence interval:

Lower bound = 436.5 - (2.576 * (11.9 / √20))

Upper bound = 436.5 + (2.576 * (11.9 / √20))

(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.

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Answer:

Yes.

Step-by-step explanation:

18/ 3 = 6

3 / 3 = 1

so,  6 : 1.

The missing length indicated is 35.

Let us give the name to the triangles

bigger triangle= ABC and smaller triangle = PQC

from the figure its clear that both triangle are congruent.

Therefore we know the formula,

BQ/BC = AP/AC

we have given that,

BQ=12, QC= 15 and AP=28

we have to find PC.

Formula is, BQ/BC = AP/AC

         BQ/(BQ+QC) = AP /(AP+PC)

               12/(12+15) = 28/ (28+x)

                 12(28+x) = 12 × 28

                 336+12x = 756

                         12x = 420

                             x = 420/12

                              x = 35

Therefore missing length is 35.

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Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

\((x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

\(y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5\)

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

Answer:

∠ N'

Step-by-step explanation:

Corresponding angles in the same position after the transformation.

∠ N' corresponds to ∠ N

Answer:

its A

Step-by-step explanation:

(a) The sample space for this experiment is the set of all possible outcomes when drawing one marble from the bag. The sample space is {a, b, c, d}, as these are the four marbles you can potentially draw. (b) The event space, F, for this random experiment would include all possible subsets of the sample space. Since we are only drawing one marble, the event space has 4 elements, corresponding to each possible marble we can draw. (c) The elements in this event space F are {a}, {b}, {c}, and {d}. Each element represents the possible outcome of drawing a single marble from the bag.

(a) The sample space for this experiment is {a, b, c, d}, which represents all possible outcomes of randomly drawing one marble from the bag.
(b) The event space F for this random experiment consists of all possible subsets of the sample space. Since there are 4 elements in the sample space, the event space F has 2^4 = 16 elements.
(c) To list all the elements in the event space F, we need to list all possible subsets of {a, b, c, d}. These subsets can be represented using a binary sequence of length 4, where each digit represents whether the corresponding element is included (1) or not included (0) in the subset. Therefore, the 16 elements in the event space F are:

- {}
- {a}
- {b}
- {c}
- {d}
- {a, b}
- {a, c}
- {a, d}
- {b, c}
- {b, d}
- {c, d}
- {a, b, c}
- {a, b, d}
- {a, c, d}
- {b, c, d}
- {a, b, c, d}

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Answer:

Step-by-step explanation:

From laws of indices, we know that;

a^(x) × a^(y) = a^(x + y)

Similarly, in our question, 4 • 4^(x) implies that; 4¹ × 4^(x)

Since 4 can be also expressed as 4¹.

Thus,this equals; 4^(x + 1)

This expression is same as the other one given in the question as 4^(x + 1).

Thus, 4 • 4^(x) is the same as 4^(x + 1).

Answer:

can you repost this so I can help you because It's hard to read that

Step-by-step explanation:

have a great day

The answer is 0.1376. To solve this problem, we need to use the normal approximation to the binomial distribution since the sample size is large (n = 100).

First, we calculate the mean and standard deviation of the binomial distribution:
Mean = np = 100 x 0.25 = 25
Standard deviation = sqrt(np(1-p)) = sqrt(100 x 0.25 x 0.75) = 4.33
Next, we use the normal distribution with mean = 25 and standard deviation = 4.33 to calculate the probability of getting more than 30 smokers:
Z = (30 - 25)/4.33 = 1.15
Using a standard normal distribution table or calculator, we find that the probability of getting a Z-score of 1.15 or greater is 0.1251.
However, we are interested in the probability of getting more than 30 smokers, which is the same as the probability of getting 31, 32, 33, ..., 100 smokers. To calculate this probability, we need to use the cumulative distribution function (CDF) of the normal distribution:
P(Z > 1.15) = 1 - P(Z < 1.15) = 1 - 0.8749 = 0.1251
Therefore, the probability of getting more than 30 smokers in a random sample of 100 individuals drawn from a population with a known smoking proportion of 0.25 is 0.1251 or approximately 0.1376.

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Answer:

y = 4x+2

Step-by-step explanation:

To find an equation that runs through (-4,1) and (4,3) first find the difference between the two y numbers and x number to find the slope. between the two y numbers you go left or right 8 units, and difference between the two x numbers, which is 2. making the slope 4. looking at a graph and marking the two points, draw a line connecting the two given points, find the y intercept. the y intercept is at coordinates (0, 2) making the y intercept 2. making that into an equation is y = 4x + 2

The value of square root of √28 will be;

⇒ 4√7 = 5.28

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The number is,

⇒ √28

Now,

Let the value of square root of √28 is find as;

Since,

28 = 2 x 2 x 7

Hence,

⇒ √28 = √2 x 2 x 7

⇒ √28 =  2√7

⇒ √28 = 2 x 2.64

⇒ √28 = 5.28

Therefore,

The value of square root of √28 will be;

⇒ 4√7 = 5.28

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Answer:

DOWNLOAD THE PHOTOMATH

Step-by-step explanation:

SO YOU CAN ANSWER AND SEE THERE THE SOLUTIONS AND ANSWER :D

Answer:

(1,2)

Step-by-step explanation:

Put both in desmos and see the point where it intersects

Solving for the variable 'y' gives y > 10

Inequalities are simply defined as expression showing that both sides are not made equal to each other.

It decisions the comparison of two numbers with one bring either greater than, greater than or equal to, less than or less than or equal to.

The symbol used in such expressions are;

Given the inequality;

-1/5 > -2/3y

To solve for 'y', we have to take the following steps:

cross multiply the values

-1 × y > -2 × 5

multiply through

-y > - 10

Make 'y' the subject by dividing both sides by the coefficient of the variable which is -1

We have;

-y/-1 > -10/-1

Find the quotient

y > 10

Thus, solving for the variable 'y' gives y > 10

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The value of the given algebraic expression is 7. The solution has been obtained by using arithmetic operations.

A mathematical expression called an algebraic expression can have variables or integers in it. It cannot be solved because it lacks an equals sign. A sequence of algebraic expressions are separated by an equals sign and are part of an algebraic equation, which can be solved.

We are given an algebraic expression as (f + g)/j.

The values of f = 6, g = 8, h = 12 and j = 2.

On substituting these in the expression, we get

⇒(6 + 8)/2

⇒14/2

⇒7

Hence, the value of the given algebraic expression is 7.

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Question: Evaluate the algebraic expression (f + g)/j when f = 6, g = 8, h = 12 and j = 2.

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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Answer:

z325x

Step-by-step explanation:

Answer:

Yes, f(x) and g(x) are inverses.

Step-by-step explanation:

The proof is attached.

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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i) The data supports the conclusion that the new treatment has a lower failure rate than 0.32.

ii) It can estimate the precision of the sample proportion but does not directly test the null hypothesis or compare two treatments.

To test the null hypothesis that the failure rate for the new treatment is 0.32, we can use a hypothesis test for a proportion.

i) Hypothesis Test:

Null hypothesis (H0): The failure rate for the new treatment is 0.32.

Alternative hypothesis (Ha): The failure rate for the new treatment is lower than 0.32.

To determine if the data supports the statement that the new treatment has a lower failure rate, we can perform a one-tailed hypothesis test using the sample proportion.

In this case, out of the 20 patients, two had treatment failure, resulting in a sample proportion (p-hat) of 2/20 = 0.10.

We can calculate the test statistic using the formula:

z = (p-hat - p0) / sqrt(p0 * (1 - p0) / n)

where p0 is the hypothesized failure rate (0.32), n is the sample size (20), and p-hat is the sample proportion (0.10).

Calculating the test statistic:

z = (0.10 - 0.32) / sqrt(0.32 * (1 - 0.32) / 20)

z = (-0.22) / 0.089 = -2.471

Using a significance level (α) of 0.05, we can compare the test statistic to the critical value from the standard normal distribution. For a one-tailed test at α = 0.05, the critical value is -1.645.

Since -2.471 < -1.645, we reject the null hypothesis. The data supports the conclusion that the new treatment has a lower failure rate than 0.32.

ii) Confidence Interval:

The confidence interval formula you mentioned, p-hat ± 1.96 x SE(p-hat), can be used to calculate a confidence interval for the proportion of treatment failures. However, it cannot directly address the question of whether the new treatment has a lower failure rate than the existing treatment.

A confidence interval provides a range of plausible values for the population parameter (failure rate in this case) based on the sample data. It can estimate the precision of the sample proportion but does not directly test the null hypothesis or compare two treatments.

To compare the failure rates of the new and existing treatments, a hypothesis test as described in part i) is appropriate. The confidence interval can provide additional information about the precision of the estimated failure rate, but it does not determine whether the new treatment has a lower failure rate.

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Answer: \(\frac{x-4}{2x-2}\)

Step-by-step explanation:

\(\frac{2x^2+5x+3}{x^2-3x-4}\) divided by \(\frac{4x^2+2x-6}{x^2-8x+16}\) is the same thing as multiplying \(\frac{2x^2+5x+3}{x^2-3x-4}\) by \(\frac{x^2-8x+16}{4x^2+2x-6}\).

The equation we get is:

\(\frac{2x^2+5x+3}{x^2-3x-4}*\frac{x^2-8x+16}{4x^2+2x-6}\)

With this equation, we can factor each equation:

\(\frac{(x+1)(2x+3)}{(x+1)(x-4)} *\frac{(x-4)(x-4)}{2(x-1)(2x+3)}\)

We can cancel out like terms since they would be dividing each other:

\(\frac{x-4}{2x-2}\)

Answer: n= −3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8(4n+3)=−72

(8)(4n)+(8)(3)=−72(Distribute)

32n+24=−72

Step 2: Subtract 24 from both sides.

32n+24−24=−72−24

32n=−96

Step 3: Divide both sides by 32.

32n/32 = −96/32

n=−3

Answer:

n= -3

Step-by-step explanation:

32n+24=-72

(subtract 24)

32n=-96

(divide by 3)

n=-3

The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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