The circumference of a circle is 9.58. Find the length of the diameter. Give your answer to 2DP

Total Cost = No of Units x Unit cost of refrigerators

Total Cost = 42 x $ 501 = $ 21, 042

Rounding off to the nearest tens,

We have to round down 42 (in $ 21, 042) to 40

Therefore, the total cost will be $ 21, 040

Answer: $21,040

The 3rd option is correct.

The range refers to the y-values so the multiple choice answer is restricted to the 1st and 3rd options. The range of the step function is not continuous, it is only the discrete values {-3, 2, 5}.

Renee is incorrect because the inverse of the function f(x) = 2x - 4 is f⁻¹(x) = (x + 4)/2 and as such her graph is also a wrong representation of the two functions.

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = y = 2x - 4

x = 2y - 4

2y = x + 4

f⁻¹(x) = y' = (x + 4)/2

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Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

The integer values of x in the interval 3 ≤ x ≤ 9 that will satisfy the inequality include 3, 4, 5, 6, 7, 8, and 9.

It should be noted that an integer is simply used to represent a given number which can be positive.

From the information, we are given the information 3 ≤ x ≤ 9. This means that 3 is less than or equal to x and x is less than or equal to 9.

Therefore, the number that fits are from 3 to 9.

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Answer:

Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!

Answer:

the answer is either x= 4 , or it is   9\(x^{2} \\\) - \(x\) - 10

Step-by-step explanation:

Sorry dude, I'm confused a little bit on what to do, but i think one of these is right.

lmk if you get it right, and which one you used

Answer:

Jordan lives 18 miles away from the store

Step-by-step explanation:

Distance=speed × time

Where,

d= distance

s= speed

t= time

Total driving time takes half an hour

Distance=speed × time

time=Distance/speed

t=1.5

Speed 1=30 mph

Speed 2:=20 mph

t=d/s1 + d/s2

1.5=d/30 + d/20

1.5=20d + 30d / 600

1.5=50d/600

Cross product

1.5×600=50d

900=50d

Divide both sides by 50

900/50=d

18=d

Therefore,

d=18 miles

Jordan lives 18 miles away from the store

the complete table is:

zeros: x = -2, x = 0, x = 2.

Increasing: (-∞, -1.25) and (1.25, ∞)

Decreasing: (-1.25, 1.25)

End Behavior:   as x →∞, y →∞

                         as x → -∞, y→ -∞

Let's solve for the first function.

First, we want to find the zeros of the function. The zeros are the values of x such that the function becomes zero (intercepts the horizontal axis)

So we can see that the zeros are:

x = -2, x = 0, x = 2.

Now we want to see when the function is increasing. The function is increasing when it goes (reading from left to right) the function goes upwards.

The function is increasing on the intervals:

(-∞, -1.25) and (1.25, ∞)

And the function is decreasing between these two intervals:

(-1.25, 1.25)

Now we need to look at the end behavior.

When x tends to infinity, (right side) we can see that the function goes upwards, then:

as x →∞, y →∞

In the left side the function goes downwards, so:

as x → -∞, y→ -∞

Then the complete table is:

zeros: x = -2, x = 0, x = 2.

Increasing: (-∞, -1.25) and (1.25, ∞)

Decreasing: (-1.25, 1.25)

End Behavior:   as x →∞, y →∞

                         as x → -∞, y→ -∞

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Answer:

The volume of water that will fill the spa tub is 5.9 cubic meters.

Step-by-step explanation:

Volume of water that would fill the spa tub = volume of semi sphere - (volume of the first cylinder + volume of the second cylinder)

i. volume of first cylinder = \(\pi\)\(r^{2}\)h

where r is the radius and h is the height of the cylinder.

r = \(\frac{0.75}{2}\) = \(\frac{3}{8}\)

 = 0.375 m

h = 0.80 m

volume of the first cylinder = \(\frac{22}{7}\) x \((\frac{3}{8} )^{2}\) x 0.8

                                        = 0.3536 cubic meters

ii. volume of the cylinder underneath = \(\pi\)\(r^{2}\)h

r = \(\frac{1.25}{2}\) = \(\frac{5}{8}\)

 = 0.625

h = 0.70 m

volume of the cylinder underneath = \(\frac{22}{7}\) x \((\frac{5}{8}) ^{2}\) x 0.7

                                                      = 0.8594 cubic meters

iii. volume of the semi sphere = \(\frac{2}{3}\) \(\pi\)\(r^{3}\)

where r is the radius = 1.5 m

volume of the semi sphere = \(\frac{2}{3}\) x \(\frac{22}{7}\) x \((1.5)^{3}\)

                                             = 7.0714 cubic meters

Thus,

volume of the water to fill the spa tub = 7.0714 - (0.3536 + 0.8594)

                                                     = 5.8584

The volume of water that will fill the spa tub is 5.9 cubic meters.

Answer:

The answer is in the image

Step-by-step explanation:

Answer:25

Step-by-step explanation:

Get monkeyd

The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the coefficient of determination.

What is coefficient of determination?

The effectiveness of a statistical model in forecasting a result is shown by the coefficient of determination (R²). The dependent variable in the model is a representation of the result.

R² can have a value of 0 or 1, with 1 being the maximum achievable. Simply said, a model's R² will be closer to 1 the more accurate its predictions are.

R² is a more precise measure of goodness of fit. The amount of volatility in the dependent variable that the model can account for.

You can typically tell whether your linear regression data's R² is high or low by graphing it. The graphs below, for instance, display two sets of simulated data:

Dots represent the observations.

The line of best fit, or predictions of the model, is displayed as a black line.

Purple lines represent the deviations (the residuals) between the data and their expected values.

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Answer:

35 pounds of tea for 80 cents.

Step-by-step explanation:

Equation::

value + value = value

80x + 60(50-x) = 74*50  

80x + 60*50 - 60x = 74*50  

20x = 14*50

x = 35 lbs (amt. of 80 cent tea to use)

50-x = 15 lbs (amt. of 60 cent tean to use)

Answer:

35 pounds of tea for 80 cents.

15 pounds of tea for 60 cents.

Step-by-step explanation:

x · 80 + y · 60 = 50 · 74

x + y = 50 · (- 60)

80x + 60y= 50 · 74

- 60x - 60y = -50 · 60

20x = 50 · (74-60) = 50 · 14

x = 50 · 14/20

35 pounds of tea for 80 cents.

y = 50 - 35 =

15 pounds of tea for 60 cents.

Rise

Run

Rise = 3

Run = 6

1

2

Answer:

y 1. 7

y 2. 20

y 3. 104

Step-by-step explanation:

So the rule is that the x+5 is goung to give you your y axis

1. 2+5=7

2. 15+5=20

3.99+5=10

Please name me brainliest I would greatly appreciate it Thank You

Answer:

Step-by-step explanation:

No, because 9 > 3+4

Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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Answer:76

Step-by-step explanation:

To solve the inequalities -2x + 4 < 8 and 3x + 4 ≤ -5, we will solve them individually and then represent the solutions on a number line.

For the first inequality, -2x + 4 < 8, we will isolate x:

-2x + 4 - 4 < 8 - 4

-2x < 4

Dividing both sides by -2 (remembering to reverse the inequality when multiplying/dividing by a negative number):

x > -2

For the second inequality, 3x + 4 ≤ -5, we isolate x:

3x + 4 - 4 ≤ -5 - 4

3x ≤ -9

Dividing both sides by 3:

x ≤ -3

Now we represent the solutions on a number line. We mark -2 with an open circle (since x > -2), and -3 with a closed circle (since x can be equal to -3). Then we shade the region to the right of -2 and include -3 to represent the solutions.

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Answer:

you should have 12 less people on the bus than originally on the bus at 2:30

Answer:

2

Step-by-step explanation:

5 people came on  then 3 people got

The required value of y is 6 for which √5y² - 11 is rational. Option C is correct.

Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

Here,
We know that the expression under the square root must be non-negative for the expression to have a real value. Therefore, we must have:

5y² - 11 ≥ 0

For y = 4: √(5y²-11) = √(5(4²)-11) = √(80-11) = √69, which is irrational.
For y = 7: √(5y²-11) = √(5(7²)-11) = √(245-11) = √234, which is irrational.
For y = 6: √(5y²-11) = √(5(6²)-11) = √(180-11) = √169, which is rational.
For y = 5: √(5y²-11) = √(5(5²)-11) = √(125-11) = √114, which is irrational.

Thus, The required value of y is 6 for which √5y² - 11 is rational. Option C is correct.

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Answer:

 = 1/ (3x-2)

Step-by-step explanation:

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

k(x) = 3x - 4

h[k(x)] =  place the function k(x) in for x in the function h(x)

           = 1/(3x-4 +2)

Combine like terms

           = 1/ (3x-2)

Hey there! I'm happy to help!

What we need to do is take the value of k(x) which is 3x-4 and plug it into the function h(x).

This is because our x in the function h[k(x)] is k(x), so we will substitute that value for x in that formula and that will give us our answer.

H[(k(x)]=1/(3x-4+2)

And combine like terms

H[(k(x)]=1/(3x-2)

So, our answer is C. 1/(3x-2)

Have a wonderful day and keep on learning! :D

Using Relative frequency formula ,

We can easily compute the relative frequency missing terms in given table.

the missing terms in relative frequency are 0.14,0.2,0.26

Relative frequency:

Relative frequency can be defined as the number of occurrences of an event divided by the total number of events occurring in a given scenario.

To calculate the relative frequency,

Relative frequency = f / n

Creating a relative frequency table is a two-step process:

we have given a table of values of experiment results carried by Nimah .

we have to find out the relative frequency for given data .

total frequency= 10+11+15+17+20 = 75

dropping

toat piece frequency relative frequency

3 10 10/75 = 0.13

4 13 11/75= 0.14

5 15 15/75= 0.2

6 17 17/75 = 0.22

7 20 20/75 = 0.26

Hence, we computed the relative frequency table for given data.

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Complete question:

Niamh carrie out an experiment dropping piece of toat to ee if they land jam up or jam down. Here are her reult. Complete the miing relative frequency value in the table. (1 mark)

total frequency terms are 75 .

given data :

dropping

toat piece frequency relative frequency

3 10 0.13

4 13

5 15

6 17 0.22

7 20

If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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Answer:

(3,1)is the correct ans

Answer:

(3, 1 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 3, 1 ) → (3, 1 )

The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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There are 10! (10 factorial) ways to initially distribute the 10 distinct books to the 10 children. When collecting the books and redistributing them, each child will receive a new book. Therefore, the number of ways to redistribute the books is also 10! (10 factorial).

Initially, there are 10 distinct books and 10 children. Each book can be given to any of the 10 children, so the first book has 10 choices, the second book has 9 choices (since one book has already been given away), the third book has 8 choices, and so on. This continues until the last book, which has only one choice. Therefore, the number of ways to initially distribute the books is calculated as 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1, which is equal to 10!.

When the books are collected and redistributed, each child needs to receive a new book. Since all the books are distinct, each child has 10 options to choose from (excluding the book they already have). The second distribution is independent of the first distribution, so the number of ways to redistribute the books is again 10!. Therefore, the total number of ways to distribute and then redistribute the 10 distinct books to the 10 children, with each child getting a new book each time, is 10!.

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a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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