6th grade math help me pleaseeee

Answer:4.03 x 10^4

Step-by-step explanation:

Answer:

⅛ cups per waffle

Step-by-step explanation:

The p-value is 0.15 which is greater than the significance value 0.10 so null hypothesis cannot be rejected at 10% significance level , we do not have enough evidences to state that no- show rate is less than 6%.

As given in the question,

Null hypothesis : No show rate for passengers booked on given flight is 6%

Alternative hypothesis: No show rate  for passengers booked on given flight  is less than the 6%

P = 6%

  = 0.06

1 -  P = 1 - 0.06

       = 0.94

random sample size 'n' = 380

no shows = 18

Sample proportion 'p' = 18/ 380

                                    = 0.047

Now , z test statistic value :

z = (p - P)/ √P (1- P)/n

 = (0.047 - 0.06)/√0.06( 0.94)/380

 = -0.013 /0.012

 = -1.083

p-value = 0.2788 ( using table)

0.2788 > 0.10

p-value is greater than significance value 0.10

Do not reject null hypothesis at 10% level of significance.

Therefore, as p-value is greater than significance value do not have enough evidences to state that no- show rate is less than 6%.

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Answer:

To determine the equation of the function shown on the graph, we need to analyze its characteristics. From the graph, we can see that the function passes through the point (2, 0) and has a vertical asymptote at x = 1. This information allows us to conclude that the function is a transformation of the parent function g(x) = log2 x. Specifically, it appears to be a horizontal compression and a vertical translation.

To find the equation of the function, we can start by applying the horizontal compression. Let k be the compression factor, then the function can be written as f(x) = log2(kx). Next, we can apply the vertical translation by adding or subtracting a constant, let h be the vertical shift, then the equation becomes f(x) = log2(kx) + h.

To determine the values of k and h, we can use the point (2, 0) and the fact that the vertical asymptote is at x = 1. Setting k = 1/2 since 2k = 1 (corresponding to a horizontal compression by a factor of 1/2), we can find h by substituting the point (2,0) into the equation and solving for h:

0 = log2(1) + h

h = 0

Therefore, the equation of the function shown on the graph is f(x) = log2(1/2 x), which can also be written as f(x) = log2(x) - 1.

Answer:

log2 (x - 3) - 2

Step-by-step explanation:

When x = 4

log2 of (4 - 3) - 2

= log2 1 - 2

= 0 - 2

So we have the point

(4, -2)

and when x = 7

we have y = log2(7-3) - 2

= log2 4 - 2

= 2-2

= 0

- so we have the poin7 (7,0)

Answer:

Step-by-step explanation:

−6x+6−7=2x+8

-1-8=2x+6x

8x=-9

x= -\(\frac{9}{8}\)

Answer:

1

----

7

Step-by-step explanation:

Answer:I think its 2×-3

Step-by-step explanation:Hope it helps kiddo

False. The complement of an event A, denoted by A', is the event consisting of all outcomes in the sample space S that are not in A.

In probability theory, a sample space S represents the set of all possible outcomes of an experiment or random phenomenon. An event A is a subset of the sample space S, representing a specific outcome or a combination of outcomes of interest.

The complement of event A, denoted by A', includes all the outcomes in the sample space S that are not part of event A. In other words, A' consists of all outcomes that do not satisfy the conditions for event A to occur.

For example, let's consider rolling a fair six-sided die. The sample space S consists of the numbers {1, 2, 3, 4, 5, 6}. Now, let event A be the event of rolling an odd number. In this case, A = {1, 3, 5}, and the complement of A, denoted by A', would be A' = {2, 4, 6}. A' includes all the outcomes that are not odd numbers.

It's important to note that the complement of an event A and the event itself together cover the entire sample space S. In other words, A and A' are mutually exclusive and exhaustive, meaning that any outcome must either be in A or in A'.

So, in summary, the complement of an event A is the set of all outcomes in the sample space S that do not belong to A.

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Answer:

6:2

Step-by-step explanation:

Answer:6:2 I hope this is helpful

Step-by-step explanation:

6 apples to 2 mangos is 6:2

Answer:

Step-by-step explanation:

The midpoint M of a line segment with two endpoints can be found using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)

where

(x1 , y1) and (x2 , y2) are the points

From the question

The endpoints are (-2,-4) and (6,8)

The midpoint is

\(M = ( \frac{ - 2 + 6}{2} , \frac{ - 4 +8 }{2} ) \\ = ( \frac{4}{2} , \frac{ 4 }{2} )\)

We have the final answer as

Hope this helps you

95% confidence interval for the population mean is 170.2 to 189.8, option d is correct.

We are given the following information:

- Sample size (n) = 225
- Standard deviation (σ) = 75
- Sample mean (x) = 180
- Confidence level = 95%

We need to calculate the 95% confidence interval for the population mean (μ). To do this, we will use the formula:

Confidence interval = x ± (z × σ/√n)

First, we need to find the z-score that corresponds to a 95% confidence level. For a 95% confidence interval, the z-score is 1.96 (you can find this value in a standard z-score table).

Now, we can plug in the values we have:

Confidence interval = 180 ± (1.96 × 75/√225)

Calculate the standard error (σ/√n):

Standard error = 75/√225 = 5

Now, calculate the margin of error (z * standard error):

Margin of error = 1.96 × 5 = 9.8

Finally, calculate the confidence interval:

Confidence interval = 180 ± 9.8 = (170.2, 189.8)

So, the 95% confidence interval for the population mean is 170.2 to 189.8, which corresponds to option d.

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The system of linear equations that best represents the situation are:

z+y=18

3z +2y=44

In order to determine the values of the two types of cheese, two set of linear equations can be formed from the question. The equations have to be solved together using either the elimination , substitution or graphical methods.

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If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can increase the sample size.

The margin of error refers to the statistic measurement that expresses the level of random sampling error in the outcomes of a survey. If the margin of error of the result is high, the confidence level would be low that a result reflects the census of the entire population. It indicated the difference between the actual and estimated results in a random survey sample. The margin of error is generally used in non-survey contexts to show observational error in reporting measured quantities. In order to minimize the margin of error associated with a confidence interval estimate for a population mean, the researchers can increase the sample size to capture the actual trend of the population more accurately.

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The infinite series ax/a+x can be expressed as a geometric series with the sum being a/a-x.

The infinite series for ax/a+x can be represented as a geometric series. The first five terms can be expressed as:

\(Term 1: ax/(a+x)\\Term 2: (ax)^2/(a+x)^2\\Term 3: (ax)^3/(a+x)^3\\Term 4: (ax)^4/(a+x)^4\\Term 5: (ax)^5/(a+x)^5\)

The infinite series can be expressed using summation notation as:

\(∑_(n=1)^∞ (ax)^n / (a+x)^n\)

Using the formula for a geometric series, the sum of the infinite series can be calculated as:

\(S = ax/(a+x) * 1/(1-ax/(a+x)) \\ = ax/(a+x) * (a+x)/(a-ax) \\ = ax/(a-ax) \\ = a/a-x\)

Therefore, the infinite series ax/a+x can be expressed as a geometric series with the sum being a/a-x.

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Answer:

"31st in the sequence"

87/3 = 29 ..   29 subtractions needed to get to zero

the 30th position in the sequence will be zero

the 31st is the first negative term

1 87

2 84

3 81

4 78

5 75

6 72

7 69

8 66

9 63

10 60

11 57

12 54

13 51

14 48

15 45

16 42

17 39

18 36

19 33

20 30

21 27

22 24

23 21

24 18

25 15

26 12

27 9

28 6

29 3

30 0

31 -3

Step-by-step explanation:

After 10 weeks, there would be approximately 246 cell phone cases left.

To find the number of cell phone cases left after 10 weeks, we can substitute x = 10 into the equation and solve for C.

The given equation is:

log C = 2.84 - 0.042x

Substituting x = 10:

log C = 2.84 - 0.042(10)

log C = 2.84 - 0.42

log C = 2.42

To isolate C, we need to convert the equation from logarithmic form to exponential form.

In exponential form, the base of the logarithm becomes the base of the exponent. So, rewriting the equation in exponential form, we have:

\(C = 10^{(2.42)\)

Using a calculator, we find that \(10^{2.42\) is approximately 246.153.

Rounding to the nearest whole number, we have:

C ≈ 246

Therefore, after 10 weeks, there would be approximately 246 cell phone cases left.

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The cost spent on fill the box with sand is 405$.

According to the statement

we have given a square sandbox with length 9 ft and depth of 1 ft.

and the rupees of sand per cubic ft is $5

then

Now, we have to find the volume of sandbox with the given length and depth.

So, for this purpose we use Volume formula

V = (a)^3

V = 9*9*1

V = 81 cubic feet

And the cost of sand per cubic feet is $5.

then

The cost of sand for 81 cubic per feet is calculate by multiplication formula then

Total cost of sand = 81*5

Total cost of sand = 405$

So, The cost spent on fill the box with sand is 405$.

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The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Given the system of equations:

• y = x² - 4

• y = -2x - 5

Let's find the solution(s) to the system.

To find the solution, eliminate the equivalent sides and equate the expressions.

We have:

Move all terms to the left and equate to zero.

Add 2x and 5 to both sides:

Factor the left side of the equation using the perfect square rule:

Solving further:

Subtract 1 from both sides:

Now, substitute -1 for x in either of the equations and solve for y.

Let's take the first equation:

Therefore, we have the solutions:

x = -1, y = -3

In point form:

(x, y) ==> (-1, -3)

ANSWER:

A. (-1, -3)

Answer:

1.    10

2.   26.6

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If you want to know whether they are equivalent or no, we will first have to find the value of both.

\(27x+45y\)

Since there aren't any like terms here, your answer would be

\(27x+45y\)

Let's solve for next one.

\(7(9x+7y)\)

Let's add in parenthesis to 7.

\((7)(9x+7y)\)

Now we will separate everything. And also you will have to add.

\((7)(9x)+(7)(7y)\)

Now that we added we got our answer.

\(63x+49y\)

Both values were not the same, so therefore, your answer is no, they are not equivalent.

Hope this helps!

No

Step-by-step explanation:

If you want to know whether they are equivalent or no, we will first have to find the value of both.

Since there aren't any like terms here, your answer would be

Let's solve for next one.

Let's add in parenthesis to 7.

Now we will separate everything. And also you will have to add.

Now that we added we got our answer.

Both values were not the same, so therefore, your answer is no, they are not equivalent.

Hope this helps!

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Answer:

They are not similar.

Step-by-step explanation:

QP would be equal to FP if they were equal but they aren't equal so....yeah

the amount of work required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 4 meters is 8984201 Joules.

To calculate the amount of work required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 4 meters, use the equation
Work = Force x Distance.

The force required is the weight of the water that needs to be lifted, which is calculated as follows:
Weight of Water = Volume of Water x Weight Density
Here, the Volume of Water = 1/3πr2h

Weight of Water = (1/3πr2) x (h x Weight Density) = (1/3π(7)2) x ((10 - 4) x 9800) = 1497033.52 N

Distance = Height of Water = 10 - 4 = 6 m
Work = Force x Distance = 1497033.52 x 6 = 8984201.12 Joules

Therefore, the amount of work required to pump the water is 8984201.12 Joules, rounded to the nearest integer is 8984201 Joules.

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Juan needs about 4.39 boxes to store all of his cards. However, since he cannot have a fraction of a box, he would need to round up to the nearest whole box, giving a final answer of 5 boxes.

What is meant by cards?

A "card" usually refers to an element or member of a set or deck of cards, often used in probability and statistics problems. It can also refer to rectangular pieces of paper or material used for sorting or organizing information.

What is meant by a fraction?

A fraction represents a part of a whole or a ratio between two quantities. It is expressed as a number or expression written in the form of "numerator/denominator", where the numerator is the top number and the denominator is the bottom number.

According to the given information

Juan has:

2 2/3 boxes of baseball cards, which can be written as 8/3 boxes

1 5/6 well cards, which can be written as 11/6 boxes

2 and 18 boxes of basketball cards, which can be written as 2.54 boxes (by adding the whole number part 2 to the fractional part 18/12 and simplifying)

To find the total number of boxes needed to store all of Juan's cards, we can add up the number of boxes for each collection:

8/3 + 11/6 + 2.54 = 4.39 (rounded to two decimal places)

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Answer: The first one, y = 3x - 4

Hope this helps :)

Answer:

Option 1, which is y= 3x - 4

Answer:

A) $5 × 25 = $75

B) 37.69%

Step-by-step explanation:

The dimension of five dollar bill:

Length = 155.956mm

Width = 66.294

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

Dimension of box :

156 x 66.3 x 66.3 mm

If volume of the 5—dollar bill is 258,473.68mm^3

Then, the Thickness of the five dollar stack equals :

Volume = Length × width × height

258,473.68mm^3 = 155.956mm × 66.294 × height

258,473.68 = 10338.947064 × h

h = (258473.68/10338.947064)

h = 25.000000003288 = 25

Therefore, the amount of money in the box is:

$5 × 25 = $75

Percentage of box volume taken up by $5 bill

Volume of the box:

156 x 66.3 x 66.3 mm = 685727.6399mm^3

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

(258,473.68 / 685727.6399) × 100

=37.69%

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Absolute value of x-2 is +(x-2) 4,2, 4/3

What is Absolute value?

Absolute value is an important math concept to understand. To represent the absolute value of a number, we use a vertical bar on either side of the number.

The function f(x) = 4/|x-2| has a vertical asymptote at x=2, meaning the function approaches infinity as x approaches 2 from both the left and the right. The function is also symmetric about the vertical line x=2.

To sketch the graph of this function, we can start by plotting some points. For x<2, the absolute value of x-2 is -(x-2), so we have:

f(1) = 4/|-1| = 4

f(0) = 4/|-2| = 2

f(-1) = 4/|-3| = 4/3

For x>2, the absolute value of x-2 is +(x-2), so we have:

f(3) = 4/|1| = 4

f(4) = 4/|2| = 2

f(5) = 4/|3| = 4/3

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s(t) = -15t + 4.9t^2 This equation represents the object's position at time t on the number line.

To find the object's position at time t, we need to use the equation for displacement:

s(t) = s(0) + v(0)t + 1/2at^2

Plugging in the given values, we get:

s(t) = s(0) + v(0)t + 1/2at^2
s(t) = -15(0) + 1/2(9.8)(t^2)
s(t) = 4.9t^2

Therefore, the object's position at time t is given by the equation s(t) = 4.9t^2.
To find the object's position at time t, we can use the following formula:

s(t) = s(0) + v(0)t + 0.5at^2

Given the values a = 9.8, v(0) = -15, and s(0) = 0, we can substitute them into the formula:

s(t) = 0 + (-15)t + 0.5(9.8)t^2

s(t) = -15t + 4.9t^2

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