(7 x 10^5) divided by (2 x 10^2) in standard form

The perpendicular height of the given oblique prism is 6 units. The answer is not one of the options given, but it is closest to option :

(d) 8 units

We can use the formula for the volume of an oblique prism, which is:

V = Bh, where B is the area of the base and h is the perpendicular height.

We are given that the volume is 144 cubic units and the area of the base is 24 square units. Substituting these values into the formula, we get:

144 = 24h

Simplifying, we can divide both sides by 24:

h = 6

Therefore, the perpendicular height of the prism is 6 units. The answer is not one of the options given, but it is closest to option d, which is 8 units.

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To repeat the previous problem with a reliability of 98 percent, we need to find the value of C10 for which the Weibull distribution function gives a probability of 0.98 when X is at its 10th percentile. Using the Weibull parameters from example 11-3, we have a shape parameter (beta) of 2.5 and a scale parameter (eta) of 5.

To find C10, we can use the inverse Weibull distribution function, which is given by:

X = eta * (-ln(1 - p))^1/beta

where p is the probability (0.98), eta is the scale parameter (5), and beta is the shape parameter (2.5).

Substituting the values, we get:

C10 = eta * (-ln(1 - 0.98))^1/beta = 5 * (-ln(0.02))^0.4 = 13.86

Therefore, we expect to obtain a larger value for C10 with a reliability of 98 percent compared to the result in the previous problem, where the reliability was 90 percent. This is because the higher the reliability requirement, the more reliable the system needs to be, which means it needs to have a longer life. Hence, the value of C10, which represents the life at which 10 percent of the units fail, will be larger for a higher reliability requirement.

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Work Shown:

2 cm : 50 miles

3*(2 cm) : 3*(50 miles)

6 cm : 150 miles

In both cases, if two integers have the same parity, then their sum is even. Therefore, the statement is true.

To prove the statement "If two integers have the same parity, then their sum is even," we will use the method of direct proof.

Let's assume that there are two integers a and b with the same parity. This means that both a and b are either even or odd.

Case 1: Both a and b are even.

If both a and b are even, then we can write them as a=2m and b=2n for some integers m and n. Their sum is:

a+b = 2m + 2n = 2(m+n)

Since m and n are integers, m+n is also an integer. Therefore, a+b is even.

Case 2: Both a and b are odd.

If both a and b are odd, then we can write them as a=2m+1 and b=2n+1 for some integers m and n. Their sum is:

a+b = (2m+1) + (2n+1) = 2(m+n) + 2

Since m and n are integers, m+n is also an integer. Therefore, a+b is even.

In both cases, we have shown that if two integers have the same parity, then their sum is even. Therefore, the statement is true.

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Answer:

5x-17-8x-3=14

-3x=14+17

x=31/-3

x=8.333333

Answer:

Step-by-step explanation:

take the radius which is 5 square it 5^2 and divide by 3 then round hope it helps

Answer: 8,33333333333333333

Step-by-step explanation: 5^2 =25 divided by 3 is 8,33333333333333333

Answer is   12.25

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

Explanation:

Using long division, or your calculator, you should find that 1/4 = 0.25

The mixed number 12 & 1/4 means 12 whole items plus 1/4 of another item.

So we can think of it like this

12 & 1/4 = 12 + 1/4 = 12 + 0.25 = 12.25

The mixed number 12 & 1/4 converts to the decimal form 12.25

The decimal number for 12 1/4 is 12.25.

Given,

12 1/4

We need to write it as a decimal.

A decimal number is a number with no fraction and it has decimal points.

Example:

- 1/2 = 0.5

- 3/4 = 0.75

Find the decimal number of 12 1/4.

We need to convert 12 1/4 into a proper fraction.

12 1/4 = (4x12 + 1 ) / 4 = (48 + 1) / 4 = 49 / 4

Now,

Convert 49 / 4 into a decimal number.

49 / 4 = 12.25

Thus the decimal number for 12 1/4 is 12.25.

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Answer: 36034 is the answer

Step-by-step explanation:

838

x 43

----------

When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying the hundreds digit, three zeros when multiplying by the thousands digit, and so forth.

Answer:

36034

Step-by-step explanation:

Answer:

D. Add 21 to both sides of the equation.

The answer is b = 198.

Check the solution by substituting 198 for b.

Step-by-step explanation:

D. 21-21= 177+21=198

     0

198-21=177

The steps are needed to solve b - 21 = 177 equation are:

Add 21 to both sides of the equation.

The answer is b = 198.

Check the solution by substituting 198 for b.

"It is a statement which consists of equal symbol between two mathematical expressions."

"It is the set of all values that that make an equation true."

For given question,

We need to solve the equation b - 21 = 177

⇒ b - 21 = 177                                ................(original equation)

⇒ b - 21 + 21 = 177 + 21                 .................(Add 21 to each side)

⇒ b = 198

Therefore, the steps are needed to solve b - 21 = 177 equation are:

Add 21 to both sides of the equation.

The answer is b = 198.

Check the solution by substituting 198 for b.

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The correct option is (d)

He wrote commutative instead of associative in step 2.

According to the commutative property, a mathematical principle, the product of a multiplication does not depend on the order in which the numbers are multiplied.

Commutative property:  a+b = b+a

Associative property: (a+b) + = a+(b+c)

Now consider the provided expression.

(6.2 − 1.6) − 4.4 + 7.8

Step 1:

(6.2 − 1.6) − 4.4 + 7.8

Step 2 Use Associative property

6.2 + (−1.6 − 4.4) + 7.8

Step 3: Simplify

6.2 − 6 + 7.8

Step 4: Use commutative property

14 − 6

Step 5: Simplify

14 − 6 = 8

Hence, the wrong step is step 2.

He wrote commutative instead of associative in Step 2.

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I understand that the question you are looking for is:

Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6) − 4.4 + 7.8 Step 2: 6.2 + (− 1.6 − 4.4) + 7.8 (commutative property) Step 3: 6.2 − 6 + 7.8 Step 4: −14 − 6 = 8 (commutative property) Step 5: 14 − 6 = 8

(a)-He wrote commutative instead of distributive in Step 4.

(b)-He wrote commutative instead of distributive in Step 2.

(c)-He wrote commutative instead of associative in Step 4.

(d)-He wrote commutative instead of associative in Step 2.

Answer:

x = 84/5 = 16.8

Step-by-step explanation:

The angle bisector theorem said that

21/15 = x/12

==> 7/5 = x/12

==> x = 84/5

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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To compute the values of f(10) and f'(10), we can utilize the information given about the tangent line to the function y = f(x) at the point (10, 2) passing through the point (-5, -7).

First, let's find the equation of the tangent line using the given points. The slope of the tangent line can be determined by the difference in y-coordinates divided by the difference in x-coordinates:

Slope = (y2 - y1) / (x2 - x1) = (-7 - 2) / (-5 - 10) = -9 / -15 = 3/5.

Since the tangent line has the same slope as the derivative of the function at the point (10, 2), we have:

f'(10) = 3/5.

Next, we can use the equation of the tangent line to find the y-coordinate of the function f(x) at x = 10. Plugging the values of the point (10, 2) and the slope into the point-slope form equation:

y - y1 = m(x - x1),

y - 2 = (3/5)(x - 10).

Substituting x = 10:

y - 2 = (3/5)(10 - 10),

y - 2 = 0,

y = 2.

Therefore, we have:

a) f(10) = 2.

b) f'(10) = 3/5.

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The relation that is a function is the graph (d)

From the question, we have the graphs to represent the given parameters that can be used in our computation

We are to find out which of them represents a function

For a graph to represent a function, the graph must pass the vertical line test

This means that a line drawn from the x-axis must touch the graph at most once

So, we draw these lines  and attach the graphs (see attachment)

The graph that pass the vertical line test is graph d

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when we replace the old divider with a new one that is n times faster. The original program execution time can be expressed as T0 = t_divide + t , and the new program can be expressed as T1 = 0.12t_divide(d/n) + 0.88t. The answer is n  2.49 (rounded to two decimal places).

The question requires us to calculate the value of n when the overall speedup for a program containing 12% divide operations is 1.7 when we replace the old divider by a new one that is n times faster. We need to round the answer to two decimal places.Steps to solve the given problem:

Let's consider that the program execution time consists of two parts. One part of the execution time consists of the divide operations and the second part consists of the program.In other words, the original program execution time can be expressed as:T0 = t_divide + t Suppose the old divider was taking d seconds for performing a divide operation, and the new divider takes d/n seconds to perform the same operation. This implies the time required for the divide operation using the new divider is n times faster than the old divider.

Therefore, the time for the new program can be expressed as:T1 = 0.12t_divide(d/n) + 0.88t (Equation 1)Here, we have considered that the divide operations constitute 12% of the program.The overall speedup is given as:T0/T1 = 1.7Solving for n:n = d/T0 * T1/n

Substituting T0 and T1 in the above equation, we get:

n = d / (0.12d/n + 0.88T0/n) Multiplying the numerator and denominator of the right-hand side of the above equation with n, we get

:n = n^2d / (0.12d + 0.88T0)

Taking square root on both sides and simplifying the expression, we get:

n = √(1.7 * 100/12)

≈ 2.49

Therefore, n ≈ 2.49 (Rounded to two decimal places).Answer: n ≈ 2.49 (Rounded to two decimal places).

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Answer:

team b by 1.1

Step-by-step explanation:

everything else was wrong when i did it

The recursive definition of the arithmetic sequence -34, -21, -8 is:

It is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the rule presented as follows:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term of the sequence.

An arithmetic sequence can also be defined recursively, as follows:

In this problem, the sequence is given as follows:

-34, -21, -8.

Hence the first term and the common ratio are given as follows:

Hence the recursive definition of the sequence is:

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Answer:

436.25 I think

Step-by-step explanation:

-10x+18y=4 is an equation in the slope-intercept form, where y is the dependent variable, x is the independent variable, -10 is the coefficient of x, 18 is the coefficient of y and 4 is the constant.

This is a Linear equation and it represent a straight line in a two-dimensional coordinate system. The slope of the line is -10/18 or -5/9 and the y-intercept is 4/18 or 2/9.

It is important to note that the equation represents all the points that are on that line, where x and y are coordinates of those points, and for each value of x, there is a corresponding value of y that makes the equation true.

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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According to the figure the value of a b and c is

a = 39

b = 141

c = 39

The angles are solved using the concept of sum of angles in a triangle is equal to 180 degrees

Solving for a

a + 106 + 35 = 180

a + 106 + 35 = 180

a + 141 = 180

Next, we can isolate a by subtracting 141 from both sides:

a + 141 - 141 = 180 - 141

a = 39

a = c = 39 corresponding angles

b + c = 180 degrees (linear pair theorem)

b + 39 = 180

b + 39 - 39 = 180 - 39

b = 141

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the main answer is that the probability that a defective spindle can be salvaged is 1/2. This is based on the assumption that the location of the gouge along the spindle is best described by a uniform distribution.

To find the probability that a defective spindle can be salvaged, we need to determine the length of the longest consecutive segment without a gouge.

Let's assume the length of the spindle is L inches. Since the location of the gouge is described by a uniform distribution, each inch along the spindle has an equal probability of having a gouge.

The probability that the first inch does not have a gouge is 1 (since it is the starting point).

For each subsequent inch, the probability of not having a gouge is (L - 1)/L, because there are L - 1 inches left without a gouge out of the remaining L inches.

Therefore, the probability of having consecutive inches without a gouge is the product of these probabilities for each inch. This can be calculated as (1 * (L - 1)/L * (L - 2)/(L - 1) * ... * 2/3 * 1/2).

Simplifying the expression, we get (L - 1)/L * (L - 2)/(L - 1) * ... * 2/3 * 1/2 = 1/2.

So, the probability that a defective spindle can be salvaged is 1/2.

the main answer is that the probability that a defective spindle can be salvaged is 1/2. This is based on the assumption that the location of the gouge along the spindle is best described by a uniform distribution.

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The length of the other diagonal of the rhombus is 24 units.

A rhombus is a parallelogram with four equal sides. Since the sides of the rhombus are 12 units long, all the sides are equal in length. One of the angles of the rhombus measures 60 degrees.

In a rhombus, the diagonals bisect each other at right angles, dividing the rhombus into four congruent right-angled triangles. The angle between the two diagonals is 60 degrees, which means that each right-angled triangle in the rhombus has a 30-degree angle.

To find the length of the other diagonal, we can use trigonometry. In a right-angled triangle with a 30-degree angle, the ratio of the length of the side opposite the angle to the length of the hypotenuse is 1/2. In this case, the side opposite the 30-degree angle is half the length of the diagonal we are trying to find.

Let's denote the length of the other diagonal as "d". Using trigonometry, we can set up the following equation:

sin(30 degrees) = (d/2) / 12

Simplifying the equation, we have:

1/2 = (d/2) / 12

Cross-multiplying, we get:

d/2 = 12 * 1/2

d/2 = 6

Multiplying both sides by 2, we find:

d = 12

Therefore, the length of the other diagonal of the rhombus is 24 units.

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The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

(a) Mean The mean (or average) of a dataset is calculated by summing up all the values and dividing by the total number of values.

The formula for calculating the mean is: `mean = (sum of values) / (total number of values)`For the given dataset, we have:20, 50, 22, 14, 23, 10

Sum of values = 20 + 50 + 22 + 14 + 23 + 10 = 139

Total number of values = 6Therefore, the mean is given by: `mean = 139 / 6 = 23.17`Answer: 23.17 (rounded to two decimal places)

(b) Median To find the median, we need to arrange the dataset in increasing order:10, 14, 20, 22, 23, 50The median is the middle value of the dataset. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values. Here, we have 6 values, so the median is the average of the two middle values: `median = (20 + 22) / 2 = 21` Answer: 21(e)

Sample variance s²The sample variance is calculated by finding the mean of the squared differences between each value and the mean of the dataset.

The formula for calculating the sample variance is: `s² = ∑(x - mean)² / (n - 1)`where `∑` means "sum of", `x` is each individual value in the dataset, `mean` is the mean of the dataset, and `n` is the total number of values.For the given dataset, we have already calculated the mean to be 23.17.

Now, we need to calculate the squared differences between each value and the mean:

20 - 23.17 = -3.1722 - 23.17

= -1.170 - 23.17

= -13 - 23.17

= -9.1723 - 23.17

= -0.1710 - 23.17

= -13.17

The sum of the squared differences is given by:

∑(x - mean)² = (-3.17)² + (-1.17)² + (-13.17)² + (-9.17)² + (-0.17)² + (-13.17)²

= 867.7959

Therefore, the sample variance is given by: `s² = 867.7959 / (6 - 1) = 173.5592`Answer: 173.5592 (rounded to four decimal places)

The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592

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Answer:

A)

Step-by-step explanation:

Multiply each number form the table x by 1.75 and substract from y

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=10/15

sin x=0.66

x=sin 42

therefore x=42 degree