5 + 4 × (14 - 4) - 8 simpilfy

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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Answer:

3

Step-by-step explanation:

Have a nice day

Answer:

Please see attached image for the graph

Step-by-step explanation:

To graph the elevation versus time, we start by plotting the first point at time zero (when the climb begins) when Zane is 20 meters below the edge (-20 meters). This corresponds to the point (0, -20).

One second later (1 in the horizontal axis), Zane has moved up 4 meters, now reaching -16 meters. This is the point (1, -16) on the graph.

One second later at time 2 seconds, he is another 4 meters up which corresponds to the point (2, -12) on the graph.

you can go on like this plotting more points on the graph.

Please see the attached image that illustrates this and shows the appropriate line that represents Zane's position versus time (pictured in red)

Answer:

D.7

Step-by-step explanation:

hope this helps :) i used a calculator to get 7

The values of a and b are a = 3, b = 0

a) The unit vector which is parallel to both planes is the cross product of the normal vectors of the two planes. The normal vector of a plane with a vector equation of r.(a_1i + a_2j + a_3k) = d is (a_1i + a_2j + a_3k). So the normal vectors of planes л₁ and л₂ are (5i - 3j + k) and (-i - 9j + 3k) respectively. The cross product of these two vectors is (15i + 27j - 15k). This is a unit vector if we divide by the magnitude of vector. So the unit vector which is parallel to both planes is (15i + 27j - 15k)/sqrt(15^2+27^2+(-15)^2)= (i+3j-k)/sqrt(19)

The vector equation of the line of intersection is r = r0 + t(i+3j-k)/sqrt(19) where r0 is a position vector of a point on the line of intersection and t is a scalar parameter.

b) The angle between two planes is given by the formula:

cos(theta) = (n1.n2) / (|n1| * |n2|)

where n1 and n2 are the normal vectors of the planes and |n1| and |n2| are the magnitudes of the normal vectors.

So, the angle between the two planes is arccos( (5i - 3j + k).(-i - 9j + 3k) / (|5i - 3j + k| * |-i - 9j + 3k|) ) = arccos( (-5 - 27 + 3) / (sqrt(35) * sqrt(91)) ) = arccos(-19/sqrt(35*91))

c) The normal vector of plane l is (-i + aj + bk) the direction vector of the common line of intersection should be parallel to both normal vector of plane l and the unit vector found in a) that is parallel to both plane 1 and plane 2.

so, (-i + aj + bk) . (i+3j-k)/sqrt(19) = 0

so, a-3 = 0 and b = 0

so the values of a and b are a = 3, b = 0

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Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation

y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.

Therefore, the vertically scale factor is equal to 1/2:

=> y = (1/2)f(x)

This problem can be solved by multiplying it by two and yields the following solution:

=> 2y = f(x)

thus , option c is correct

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

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1) 3,500 rounded to the nearest ten thousand is 0.

2) 462,183.5062749 rounded to the nearest tenth is 462,183.5.

3) 6 + (-3) - 5 is equal to -2.

QUESTION 1:The given number is 3,500. To round it to the nearest ten thousand, we need to see which ten thousand is closest to the number. In this case, 3,500 is between 0 and 10,000. Since 0 is closer, we round down to 0. So, 3,500 rounded to the nearest ten thousand is 0.

QUESTION 2: To round the given number, 462,183.5062749, to the nearest tenth, we need to look at the digit in the hundredths place (the second digit after the decimal point), which is 0. Since 0 is less than 5, we round down the digit in the tenths place to 3.

Therefore, 462,183.5062749 rounded to the nearest tenth is 462,183.5.

QUESTION 3:We have to evaluate 8 to the 8th power. That means we have to multiply 8 by itself 8 times. Using a calculator, we can find that 8^8 is equal to 16,777,216.

QUESTION 4:When solving the expression 6 + (-3) - 5, we should follow the order of operations, which is: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Since there are no parentheses or exponents in this expression, we can simply perform addition and subtraction from left to right.

6 + (-3) = 3, then 3 - 5 = -2.

Therefore, 6 + (-3) - 5 is equal to -2.

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The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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Answer:

0.068% or 6.8% this will be your final answer

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

\(\displaystyle x \approx 8.6\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 16°

Adjacent Leg = 8.3

Hypotenuse = x

Step 2: Solve for x

Answer:

Brand A

Step-by-step explanation:

For Brand A: If you do 2 divided by 16 = 8

For Brand B: And if you do 3 divided by 28 = 9.333 (repeating)

Brand B is higher than brand A, which means Brand A is your answer.

hope this helps! plz mark brainliest? :)

To determine the final value of the time function f(t) corresponding to the one-sided Laplace transform F(s) = 40 / ((s + 10)(s^2 + 4)), we need to find the value of f(t) as t approaches infinity.

The final value theorem states that if the limit as s approaches 0 of sF(s) exists, then the final value of f(t) is equal to that limit. In this case, we can calculate the limit by evaluating the numerator of F(s) at s = 0.

By substituting s = 0 into the denominator of F(s), we find that both (s + 10) and (s^2 + 4) evaluate to 10 and 4, respectively. Thus, the denominator becomes 10 * 4 = 40.

Now, substituting s = 0 into the numerator, we obtain 40. Therefore, the final value of the time function f(t) is 40.

In summary, the final value of the time function f(t) corresponding to the given one-sided Laplace transform is 40.

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-3(X - 4) = – 3x + 12 infinite solutions

4(x + 1) = 3x + 4 one solution

-2(x-3) = 2x - 6 one solution

6(x + 5) = 6x + 11 no solution

5(x-2)=5x-7 no solution

Step-by-step explanation:

To find the percent change in price of the four new tires, we can use the formula:

percent change = (new value - old value) / old value * 100%

Here, the old value is $638 and the new value is $523.

percent change = ($523 - $638) / $638 * 100%

percent change = -$115 / $638 * 100%

percent change = -0.18 * 100%

percent change = -18%

The result is a decrease of 18%, so the answer is A. 18% decrease.

Okay, let's solve this step-by-step:

Original price of 4 tires: $638

New price of 4 tires: $523

To calculate the percent change, we use the formula:

Percent Change = (New Price - Original Price) / Original Price

So in this case:

Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%

Since the new price is less than the original price, this is a decrease.

Therefore, the answer is A: 18% decrease

So the answer is A: 18% decrease

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

Answer:

Each CD cost 12.90 before tax

Step-by-step explanation:

41.10-2.40=38.7

38.7/3=12.90

Answer:

deleting Internet browsing history.

Step-by-step explanation:

Answer: Deleting internet browsing history!

Answer:

Step-by-step explanation:

SOLVING

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

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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Answer:

Step-by-step explanation:

We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.

To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

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Answer:

Step-by-step explanation:

Given the expression \((4z^8)^{-3}\), to evaluate this, we will use one of the law of indices as shown;

\((a^m)^n = a^{mn}\)

\(4^{-3} * z^{8*-3}\)

\(= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}\)

Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8

Answer:

The last one

Step-by-step explanation:

Answer:

Bru how can u not know that

Step-by-step explanation:

1. 2 pieces

2. 0.008

3. 4 pieces

4.0.016

5. 8 pieces

6.0.32

7.16

8.0.64

Since the sequence has a common difference, hence it is a arithmetic sequence

Sequence is a set of numbers arranged in a particular pattern

Given the sequence below;

199,182,165,148

Determine if it has common difference or ratio

d = 182 - 199  = 165 - 182

d = -17

Since the sequence has a common difference, hence it is a arithmetic sequence

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We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples. Hence, it is TRUE

The statistical analysis tool known as analysis of variance (ANOVA) divides the observed aggregate variability present in a data set into two categories: systematic variables and random components. The random factors have no statistical impact on the presented data set, whereas the systematic factors do. The ANOVA test is used by analysts to ascertain how independent factors in a regression analysis affect the dependent variable.

ANOVA basically stands for analysis of the variance.

Hence, according to above statements, given fact is true.

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Answer:

There will be 48 neutrons.

Step-by-step explanation:

Hope this helps and have a great day :)

There will be 48 neutrons in this atom.

The mass number of an element is the number obtained when the number of protons and neutrons in the nucleus of an atom of the element are summed together.

The addition of protons and neutrons in the nucleus of an atom is collectively known as the nucleon. Thus, the mass number of an atom can also be referred to as the nucleon of the atom.

This can be mathematically expressed as follows;

Mass number = number of protons + number of neutrons.

We are given that atom of a certain element has 37 protons, 37 electrons, and a mass number of 85.

So,

Mass number = number of protons + number of neutrons.

85 = 37 + n

n = 85 - 37

n = 48

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Answer:

c. Might not be congruent

There is No congruence between ABC and DEF.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

From the figure we have given that

<A = <D

<B = <E

<C = <F

As, all the angles are equal but there is no Criteria which have AAA congruence rule.

Thus, there is no Congruence.

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