An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x-119.6 ounces. Suppose the standard deviation is known to be a-6.5 ounces. Assume that in the population of all babies born in this bospital, the birth weights follow a Normal distribution, with mean. The standard deviation of the sampling distribution of the mean is a. 6.52 ounces b.0.02 ounces c. 1.30 ounces. d.0.38 ounces QUESTION 9 The least-squares regression line is: a the line that passes through the most data points. b. the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible. e the line such that half of the data points fall above the line and half fall below the line. d. All of the answer options are correct.

Answer:

70%

Step-by-step explanation:

4 blue tiles A

6 red tiles A

2 red tiles B

8 blue tiles B

total: 20

total B: 2 + 8 = 10

total blue, not B: 4

p(B or blue) = (10 + 4)/20 = 0.7 = 70%

Answer:

28.5

Step-by-step explanation:

i think itś 28.5 because 285 is after an increase of 10% which would mean 28.5 was the increase

The equation -20,000(F/P, i*, 4) + 10,000 + 5,000 = 0 is used to calculate the project's internal rate of return (i*). The Option A/

The internal rate of return (IRR) is a metric used in financial analysis to estimate the profitability of potential investments. IRR is a discount rate that makes the net present value (NPV) of all cash flows equal to zero in a discounted cash flow analysis.

To get internal rate of return (i*), we need to solve the equation: \(-20 000(F/P, i*, 4) + 10 000 + 5 000 = 0\)

The initial cost of the project is -$20,000, the net annual cash inflow is $10,000 and the salvage value is $5,000. The equation represents the present value of cash flows over the project's duration.

Therefore, by solving the equation, we can determine the internal rate of return (i*) for the project.

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Answer:

B

Step-by-step explanation:

The answer is (3) 0.

For the first integral, we have:

I = ∭W x^2 + y^2 dV

Using cylindrical coordinates, we have:

x = r cos(theta)

y = r sin(theta)

z = z

where 0 <= r <= 5, 0 <= theta <= 2pi, and -5 <= z <= 1.

Also, dV = r dz dr d(theta)

Substituting these into the integral, we have:

I = ∭W r^2 dV

= ∫(0 to 2pi) ∫(0 to 5) ∫(-5 to 1) r^2 (r dz dr d(theta)) dz dr d(theta)

= ∫(0 to 2pi) ∫(0 to 5) [(r^4/4)(1 - (-5))] dr d(theta)

= ∫(0 to 2pi) ∫(0 to 5) (13r^4/4) dr d(theta)

= ∫(0 to 2pi) [(13/20)r^5] from 0 to 5 d(theta)

= ∫(0 to 2pi) (13/20)(5^5) d(theta)

= (13/20)(3125)(2pi)

= 112pi

Therefore, the answer is (1) 112π.

For the second integral, we have:

I = ∭W y dV

Using cylindrical coordinates, we have:

x = r cos(theta)

y = r sin(theta)

z = z

where 2 <= r <= 4, 0 <= theta <= 2pi, and 0 <= z <= x+6.

Also, dV = r dz dr d(theta)

Substituting these into the integral, we have:

I = ∭W y dV

= ∫(0 to 2pi) ∫(2 to 4) ∫(0 to r cos(theta)+6) r sin(theta) (r dz dr d(theta)) dz dr d(theta)

= ∫(0 to 2pi) ∫(2 to 4) [(r^3 sin(theta)/3)(r cos(theta)+6)] dr d(theta)

= ∫(0 to 2pi) ∫(2 to 4) [(r^4/3) cos(theta) + 2r^3/3] sin(theta) dr d(theta)

= ∫(0 to 2pi) [(4^4/3 - 2^4/3)(cos(theta)/4) + 2(4^3/3 - 2^3/3)/3] sin(theta) d(theta)

= ∫(0 to 2pi) [(16/3)(cos(theta)/4) + (32/3)] sin(theta) d(theta)

= 0

Therefore, the answer is (3) 0.

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In the wοrd prοblem ,  Malik will receive 9 mοre slices frοm first pizza.

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement.

Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.

Here the number οf slices in first pizza = 88

Number οf slices οf secοnd pizza = 77

Tοtal Number οf peοple = 77

If 77 peοple sharing slices frοm each pizza then remaining slices in first pizza is ,

=> 88-77 = 11

If Malik he takes twο slices frοm the first pizza instead οf a slice frοm the first and a slice frοm the secοnd then ,

remaining slices in first pizza = 11- 2 = 9

Hence Malik will receive 9 mοre slices frοm first pizza.

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Answer:

3400

Step-by-step explanation:

60 * 70 = 4200

70 - 10 - 20 = 40

20 * 40 = 800

4200 - 800 = 3400

Answer:

3,400

Step-by-step explanation:

I did 70 times 60 which gave me 4,200 then with the 10 and 20 I subtracted it to 70 and did 20 times 40 that gave me 800 then subtracted that by 4200 then it gave me 3,400.

The volume of e8.1.23 is 50/3 cubic units, and the centroid is at a height of y from the top. To find the centroid, divide the figure into two parts: the triangular part and the rectangular part. The total volume is V = (2/3)² (2/3+1) + 2(4/3)²/3V, which is 50/9 cubic units. The centroid is located at point O, with the height of O being y.

Given e8.1.23, we have to calculate the volume and the location of the centroid of the volume. Below are the steps:

Step 1: Calculation of volumeWe have to find the volume of the given e8.1.23, given as:In the above figure, let's consider a small element dx at a distance x from the top of the container. Its cross-section will be (2x+1)2. Let's now find the volume of this element. It will be:

Volume of the element = area × heightdx

= (2x + 1)² dx

Further integrating the above equation with limits from 0 to 2:

V = ∫02 (2x + 1)² dxV

= ∫02 (4x² + 4x + 1) dxV

= [4/3 x³ + 2x² + x]02V

= (4/3 × 2³ + 2 × 2² + 2) − 0V

= (32/3 + 8 + 2) − 0V

= 50/3 cubic units

Step 2: Calculation of CentroidThe centroid of the volume will be at a height y from the top. Let's divide the figure into two parts, one part will be the triangular part and the other part will be the rectangular part.Let the height of the rectangular part be a.Let the height of the triangular part be b.  Using the above figure,we know that b + a = 2 ⇒ b = 2 - aFor finding the location of the centroid of the volume, we have to use the formulae:where A1, A2, y1, and y2 are as follows:

A1 = a(2x+1)A2

= (2/3) b² y1

= a/2 y2

= b/3

For rectangular part:  

A1 = a(2x+1) y1

= a/2V1

= ∫02 a(2x + 1) (a/2) dxV1

= a/2 ∫02 (2ax + a) dxV1

= a/2 [ax² + ax]02V1

= a/2 (2a² + 2a)V1

= a² (a+1) cubic units

For triangular part:

A2 = (2/3) b²y2

= b/3V2

= ∫02 (2x + 1) (2/3) b² (x/3) dxV2

= 4b²/27 ∫02 x² dx + 2b²/9 ∫02 x dx + b²/3 ∫02 dxV2

= 4b²/27 [x³/3]02 + 2b²/9 [x²/2]02 + b²/3 [x]02V2

= 2b²/27 [8 + 4] + b²/3 [2]V2

= 2b²/3 cubic units

Therefore, the total volume is:

V = V1 + V2= a² (a+1) + 2b²/3 cubic units

Let's now find a and b:From the figure, b = 2 - a

Therefore, 2 - a + a = 2

⇒ a = 2/3

Therefore, b = 4/3

Therefore, the total volume is:

V = (2/3)² (2/3+1) + 2(4/3)²/3V

= 50/9 cubic units

Location of the centroid: Let's consider a point O as shown in the figure. The height of the point O will be y. For finding the value of y, let's first find the moments of each part with respect to O.

Using the formula M = Ay and M1 = A1 y1 + A2 y2 M = M1 = Ay

⇒ a(2x+1) [a/2] = [(2/3) b²] [b/3] (2x+1)/2

= b²/9 (2x+1)

= 2b²/9x

= (2b²/9 - 1)/2

For rectangular part:  

A1 = a(2x+1)

= (2/3)(2/3 + 1) (2x + 1)

= 2/3 (2x+1) = 4/9

For triangular part:

A2 = (2/3) b²

= (2/3) (4/3)²

= 32/27y2

= b/3

= 4/9

Let's now find y = M/Vy

= M1/V

= (A1 y1 + A2 y2)/V

= (A1 y1)/V + (A2 y2)/V

= M1/V

= 4/3 + 32/81y

= 50/27

Thus, the volume of the given e8.1.23 is 50/3 cubic units and the location of the centroid is 50/27 units from the top.

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Answer:

u = 2

Step-by-step explanation:

The slope of a line between points \((x_1,y_1)\) and \((x_2,y_2)\) is equal to \(\frac{y_2-y_1}{x_2-x_1}\), so, given our slope of 8, we need to find the first y-coordinate:

\(m=\frac{y_2-y_1}{x_2-x_1}\\\\8=\frac{10-u}{3-2}\\\\8=\frac{10-u}{1}\\\\8=10-u\\\\-2=-u\\\\2=u\)

Hence, the value of "u" is 2.

Answer:

To find the value of u, you can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

In this case, (x1, y1) = (2, u) and (x2, y2) = (3, 10). Plugging these values into the formula gives:

slope = (10 - u) / (3 - 2)

Simplifying this expression gives:

slope = (10 - u) / 1

Since the slope is 8, we can set this expression equal to 8 and solve for u:

8 = (10 - u) / 1

8 = 10 - u

u = 10 - 8

u = 2

Therefore, the value of u is 2.

Certainly! The slope of a line is a measure of how steep the line is. It is calculated by finding the ratio of the difference in the y-coordinates of two points on the line to the difference in the x-coordinates of those same two points. For example, in the line you gave, the two points are (2, u) and (3, 10). The difference in the x-coordinates of these two points is 3 - 2 = 1, and the difference in the y-coordinates is 10 - u. The slope of the line is then (10 - u) / 1. We know that the slope of this line is 8, so we can set the expression for the slope equal to 8 and solve for u. This gives us the value of u, which is 2. I hope this helps! Let me know if you have any questions.

The output obtained after executing the java code snippet,

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

will be 4.

As per the question statement, we are provided with a java code snippet, which goes as:

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We are required to determine the output, that we will obtain on executing the above mentioned code.

That is, on executing the code

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We will obtain an output of 4, as "++" is the post increment function.

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A number line representing d>−4 would be a straight line with a solid or hollow circle at the point −4, depending on whether or not −4 is included in the solution.

If the inequality is d>−4, this means that any value of d that is greater than −4 can satisfy the inequality. For example, d=−3 or d=0 would satisfy the inequality, but d=−5 would not.

The arrow extending to the right from the circle indicates that the number line continues in the positive direction, indicating that any value of d greater than −4 is a solution. This depiction is straightforward and easy to understand, providing a visual representation of the possible solutions for the inequality.

In algebraic terms, the number line representation of an inequality can help students better understand the concept of absolute value and the importance of understanding the direction of the inequality when solving problems. It can also be useful in practical applications, such as interpreting temperature ranges or measuring distances. Overall, a number line helps visualize the concept of d>−4 by depicting all possible values of d that satisfy the inequality.

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Answer:

y=1/12x+b

Step-by-step explanation:

To find a perpendicular line, you need to find the negative reciprocal of the gradient in this case its -12x, the negative reciprocal of this is 1/12x we don't know what coordinates this passes through so we just write y=1/12x+b

Hope this helps!!

Answer:

YES

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(Slope (m) = \frac{y}{x} = 0\)

\(0 = arctan (\frac{y}{x} ) 0^o\)

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

True. The is subset() method is used to check if all elements of set1 are present in set2, which means set1 is a subset of set2 if the is subset() method returns true.

True. The "is subset()" method can be used to determine whether set1 is a subset of set2. If all elements of set 1 are present in set 2, then set 1 is considered a subset of set 2. The method returns `True` if set1 is a subset of set2 and `False` otherwise.
In mathematics, if all the elements of A are also elements of B, then the set A is one of the set B; then B is a superset of A. A and B may be equal; if they are not, A is a necessary condition of B. A relationship in which one group is one of the other is called existence (or sometimes existence). A is part of B, it can also indicate that B contains (or contains) A, or that A contains (or contains) B. A k-subset is a subset with k elements.

A linked subset defines the partial order of a set. In fact, intersection and union give intersection and intersection, with subsets of the given set being Boolean algebra in the relationship, and the link itself is a Boolean coverage relationship.
Example usage:
```python
set1 = {1, 2, 3}
set2 = {1, 2, 3, 4, 5}

result = set1.issubset(set2)
print(result) # Output: True
```

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Lets draw a picture of the problem:

Since we have a right triangle, we can relate the given angle with the sides by means of the tangent function, that is,

By multiplying both sides by 8, we have

Since tan3.5= 0.06116, we get

Since 1 feet is equal to 12 inches, we have

Therefore, by rounding to the nearest tenth, the answer is 5.9 inches.

(a) The number of binary strings of length 10 with at least one 1 is 1023.

(b) The number of binary strings of length 10 with at least one 1 and at least one 0 is 2045.

(a) To count the number of binary strings of length 10 with at least one 1, we can subtract the number of strings with all 0's from the total number of binary strings of length 10.

The total number of binary strings of length 10 is 2^10 = 1024, and the number of strings with all 0's is 1 (namely, 0000000000). Therefore, the number of binary strings of length 10 with at least one 1 is:

1024 - 1 = 1023

(b) To count the number of binary strings of length 10 with at least one 1 and at least one 0, we can use the principle of inclusion-exclusion.

The number of strings with at least one 1 is 1023 (as we calculated in part (a)), and the number of strings with at least one 0 is also 1023 (since the complement of a string with at least one 0 is a string with all 1's, and we calculated the number of strings with all 0's in part (a)).

However, some strings have both no 0's and no 1's, so we need to subtract those from the total count. There is only one such string, namely 1111111111. Therefore, the number of binary strings of length 10 with at least one 1 and at least one 0 is:

1023 + 1023 - 1 = 2045.

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Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

Any equation of the form \(ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

\($$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$\)

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

\($$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$\)

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

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Answer:

C) Penelope should have added 4 to both sides instead of adding 1.

Step-by-step explanation:
Got it right on edge! Good Luck <3

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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Answer:

6053.28618448

no is the power of 6

Answer:

4784 to the power of 7

Step-by-step explanation:

i'm not sure if i interpreted what you wrote correctly, but if its ((4600*1.04)to the power of 7), then my answer would be correct.

if it was 4600*1.04 (where 1.04 would be to the power of 7), then the answer would be about 6053.28618, or 4600*26 to the power of 7/ 25 to the power of 7

About 75% of the students' scores exceeded the score mentioned in the boxplot.

In a boxplot, the box represents the interquartile range (IQR), which contains the middle 50% of the data. The lower whisker extends to the minimum value within 1.5 times the IQR below the first quartile (Q1), and the upper whisker extends to the maximum value within 1.5 times the IQR above the third quartile (Q3).

Since the boxplot does not provide specific numerical values, we can infer that the mentioned score lies within the upper whisker, which represents the top 25% of the data. Therefore, about 75% of the students' scores exceeded this score.

It's important to note that without the actual values or specific percentiles, we can only estimate the percentage based on the visual representation of the boxplot. The exact percentage may vary depending on the scale and distribution of the data. To obtain a more precise estimate, additional information such as the quartiles or a histogram of the scores would be needed.

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Answer:

Step-by-step explanation:

Let's call the lengths of DW and EY as x and y, respectively.

Since W is the circumcenter of ADEF, we know that WY is the perpendicular bisector of DE, so WY = x/2.

Similarly, WZ is the perpendicular bisector of DF, so WZ = (104 - x) / 2.

Using the Pythagorean theorem, we can find the length of YE:

YE^2 = YW^2 + WZ^2

YE^2 = 32^2 + (104 - x)^2 / 4

YE^2 = 1024 + (104 - x)^2 / 4

Also, using the Pythagorean theorem, we can find the length of ZE:

ZE^2 = ZW^2 + WY^2

ZE^2 = 68^2 + x^2 / 4

ZE^2 = 4624 + x^2 / 4

Now, we have two equations with two unknowns, x and y.

Solving for y, we get:

y^2 = 1024 + (104 - x)^2 / 4

y^2 = 1024 + (104^2 - 208x + x^2) / 4

y^2 = 1024 + (104^2 - 208x + x^2) / 4

y^2 = 1024 + 26112 - 5216x + x^2 / 4

4y^2 = 26112 + x^2 - 208x + 4096

4y^2 = 26112 + x^2 - 208x + 4096

and

ZE^2 = 4624 + x^2 / 4

4ZE^2 = 18496 + x^2

Equating the two equations, we get:

4y^2 = 26112 + x^2 - 208x + 4096

= 18496 + x^2

7456 = 7616 - 208x

x = 104.

Finally,

DW = x = 104

EY = y = sqrt(1024 + (104^2 - 208x + x^2) / 4) = sqrt(1024 + (104^2 - 208 * 104 + 104^2) / 4) = sqrt(26112) = 162

ZE = ZW = 68.

The 5th term in the expansion of (a+b)⁴ in simplest form is 4a³b.

The binomial theorem is a mathematical formula that provides a way to expand the power of a binomial expression, which is an expression that consists of two terms.

The 5th term in the expansion of (a+b)⁴ can be found using the binomial theorem formula:

(a + b)ⁿ = C(n,0)aⁿ + C(n,1)\(a^(n-1)\)b + C(n,2)\(a^(n-2)\)b² + ... + C(n,n-1)a\(b^(n-1)\) + C(n,n)bⁿ

where C(n,r) is the binomial coefficient, given by:

C(n,r) = n! / (r! * (n-r)!)

In this case, n = 4 and we want to find the 5th term, which means we want the coefficient for the term with a³b. Using the formula, we can see that the coefficient for this term is:

C(4,3) = 4! / (3! * (4-3)!) = 4

So the 5th term in the expansion of (a+b)⁴ is:

4a³b

In simplest form, we cannot simplify this expression any further. Therefore, the 5th term in the expansion of (a+b)⁴ in simplest form is:

\(4a^3b\).

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Answer:

14,400

Step-by-step explanation:

120 x 120 = 14,400

Answer:

\( \dfrac{-7600}{3} \)

Step-by-step explanation:

The plane is descending, so the change in height is a negative change.

rate of descent = (change in height)/time

rate of descent = (new height - old height)/time

rate of descent = (7400 ft - 15000 ft)/(3 min)

rate of descent = (-7600 ft)/(3 min)

Answer: \( \dfrac{-7600}{3} \)

Answer: 1/6

Step-by-step explanation:

\(\displaystyle\\\frac{2}{12} =\\\\\frac{2}{2*6}=\\\\\frac{1}{6}\)

Answer: (x-5)^2

Step-by-step explanation:

-5 and -5 multiply to 25 and add to -10