Choose the function that represents the data in the table.
X
0
0
1
3
2
12
3
27
4
48
cho
y
O y = x2
O y = 3x2
O y = x2 + 3
y = 2x + 3

Answer:

B shows the associative property

5, 10, 23, 26, 45, 46, 55

The data set that has the set forth parameters is 5, 10, 23, 26, 45, 46, and 55.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers.

Mean = sum of the numbers / total number

Range is the largest number less the smallest number.  The Interquartile range is the third quartile less the first quartile.

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Answer:

she will need 3 cups

Step-by-step explanation:

the total cups of flour Amil is 3 cups

Point in original figure: (-1,5)

Point in final figure: (7,2)

Take the bold point on the figure and drag it 8 to the right.

Once you arrive at this point, drag it 7 up.

Hope this helps.

Answer:

1

Step-by-step explanation:

Trust

Answer:

0% probability that, for any day, the number of special orders sent out will be no more than 33

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 66 special orders daily

This means that [tex]\mu = 66[/tex]. We have the mean during a time interval, which means that the number of special orders follow a Poisson distribution, which has [tex]\sigma = \sqrt{\mu} = \sqrt{66}[/tex]

What is the probability that, for any day, the number of special orders sent out will be no more than 33?

Since the Poisson distribution, which is discrete, is approximated to the normal(which is continuous), we have to use continuity correction, and thus, this probability is P(X < 33 - 0.5) = P(X < 32.5), which is the p-value of Z when X = 32.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32.5 - 66}{\sqrt{66}}[/tex]

[tex]Z = -4.12[/tex]

[tex]Z = -4.12[/tex] has a p-value of 0.

0% probability that, for any day, the number of special orders sent out will be no more than 33

Answer:

0.34

Step-by-step explanation:

it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.

Answer:

The answer is .34

When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.

Answer:

[tex]Pr = \frac{2}{9}[/tex]

Step-by-step explanation:

Given

A roll of two dice

Required

Probability of getting a sum of 8

First, we list out the sample space

[tex]S =\{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6), (3, 1) (3, 2) (3, 3)[/tex][tex](3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6),(5, 1) (5, 2) (5, 3) ,(5, 4) ,(5, 5) ,(5, 6),[/tex]

[tex](6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]

The total is:

[tex]n(S) = 36[/tex]

From the sample space, the outcomes that give a sum of 8 are:

[tex]Sum =\{(2, 6), (3, 5),(4,4),(5,3),(6,2)\}[/tex]

The total is:

[tex]n(Sum) = 8[/tex]

So, the probability is:

[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]

[tex]Pr = \frac{8}{36}[/tex]

[tex]Pr = \frac{2}{9}[/tex]

Answer:

The sample standard deviation is of 248.19.

Step-by-step explanation:

First we find the sample mean, which is needed to find the sample standard deviation.

Sample mean:

Sum of all values in the sample, divided by the number of values. So

[tex]M = \frac{2000+2200+2100+2400+2500+1900+2200+2200+2700+2600}{10} = 2280[/tex]

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by the number of values. So:

[tex]S = \sqrt{\frac{(2000-2280)^2+(2200-2280)^2+(2100-2280)^2+(2400-2280)^2+(2500-2280)^2+(1900-2280)^2+...}{10}} = 248.19[/tex]

The sample standard deviation is of 248.19.

Answer:

[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is:

[tex]a(t) = 8t - 6[/tex]

Velocity:

[tex]v(t) = \int a(t) dt = \int (8t - 6) dt = \frac{8t^2}{2} - 6t + K = 4t^2 - 6t + K[/tex]

In which the constant of integration K is the initial velocity, which is v(0). So

[tex]v(t) = 4t^2 - 6t + v(0)[/tex]

Position:

[tex]s(t) = \int v(t) dt = \int (4t^2 - 6t + v(0)) dt = \frac{4t^3}{3} - \frac{6t^2}{2} + v(0)t + K = \frac{4t^3}{3} - 3t^2 + v(0)t + K[/tex]

The initial position is s(0) = 2. So

[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]

Answer:

Answer. -2

Step-by-step explanation:

hope this helps!!

Answer:

the answer to this is

(a.)(2,-1)

Answer:

19 km east

Step-by-step explanation:

By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement

Answer:

19 km, East

Step-by-step explanation:

I hope you get it right

Answer:

They can both do 35 push-ups per minute, with an equal ratio between them.

Step-by-step explanation:

Given that Nora can do 70 push-ups in 2 minutes, and Luke can do 105 push-ups in 3 minutes, to determine if these rates from a proportion the following calculation should be performed:

70/2 = X

35 = X

105/3 = X

35 = X

Therefore, they can both do 35 push-ups per minute, with an equal ratio between them.

Answer:

6

Step-by-step explanation:

The interquartile range is calculated by subtracting the first quartile from the third quartile. Box and whisker plots make it pretty easy to find the quartiles. The first quartile is the point where the box starts, and the third is where the box ends. The second is the median/line in the middle of the box.

So for that first box plot on the top, the first quartile is 7, because that's where the box begins. The third quartile is 22 because it's where the box ends.

For the second one, the first quartile is 8 and the third is 17.

To find the interquartile range of each, subtract the first quartile from the third. 22-7 = 15 and 17-8 = 9.

Now to find the difference in the interquartile ranges, subtract 9 from 15. You get 6, so that is the answer :)

Answer:

Estimated average

0.30011

Step-by-step explanation:

Estimate of slope = 0.30011

Given that the transformed response variable possess a slope that is no longer the change in Y

The correct interpretation is now that this is an estimated average change in Y per unit change in X. And the value of this change is  0.30011

Answer:

30,290,000 people

Step-by-step explanation:

The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000

23,300,000/100 = 233,000 = 1%

233,000 x 30 = 6,990,000

23,300,000 = 6,990,000 = 30,290,000

Answer:

Below in bold.

Step-by-step explanation:

You would join the faces with the greatest area

That is the faces with dimensions 3 feet by 5 feet.

Answer:

the pre-image and the image are congruent

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Answer:

[tex] \to 5 \times \dfrac{3}{4} \\ \\ \to \dfrac{5 \times 3}{4} \\ \\ \to \dfrac{15}{4} \\ \\ \to \pmb{ 3 \dfrac{3}{4}}[/tex]

[tex] \to 2 \times 1 \dfrac{1}{2} \\ \\ \to 2 \times\dfrac{3}{2} \\ \\ \to \dfrac{2 \times 3}{2} \\ \\ \to \dfrac{6}{2} \\ \\ \to \pmb{3}[/tex]

Answer: 10+4y=20

4y= 10

y= 10/4

y= 5/2

Step-by-step explanation: above

Answer:

B. 3 to 2

Step-by-step explanation:

I calculated it logically

The ratio of the frequency of G to C is 1.5. So, option b is correct.

Frequency of a wave is defined as the number of oscillations completed by the wave in one second.

Here,

The frequency of note G, f(G) = 392 Hz

The frequency of note C, f(C) = 262 Hz

The ratio of the frequency of G to C, r = frequency of G/frequency of C

r = f(G)/f(C)

r = 392/262

r = 1.496 approximately r = 1.5

Hence,

The ratio of the frequency of G to C is 1.5

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Answer:

n = 9

Step-by-step explanation:

Method 1(Algebra) :

3 + n = 12

3 - 3 + n = 12 - 3

n = 9

Method 2:

3 + n = 12

Move 3 to the other side of the equation.

n = 12 - 3

n = 9

Answer: I can't really tell you the answer because you didn't show the graphs...

Step-by-step explanation:

A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that the boat's value decreasing at a rate of 40% per year, hence:

b = 100% - 40% = 60% = 0.6

A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ

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Answer:

Step-by-step explanation:

Dear student, the missing data in the given information includes that:

The past experience showcases that for 75% successful bids & 40% unsuccessful bids,  additional information is being requested by the agency.

∴

For a bid to be successful, the chance is half

Thus, the prior probability P(successful) is;

P(successful) = [tex]\dfrac{50}{50+50}[/tex]

P(successful) = 0.5

The conditional probability is:

[tex]P(request/successful)= \dfrac{P(request \& \ successful) }{P(successful)}[/tex]

[tex]P(request/successful)= 0.75[/tex]

To compute the posterity probability, we use the Naive Bayes Theorem:

So,

Let S = successful, Us = Unsuccessful; R = request:

Then;

[tex]P(S/R) = \dfrac{P(R/S) *P(S)}{[P(R/s)* P(S) +P(R/Us) *P(Us)]}[/tex]

[tex]P(S/R) = \dfrac{0.75*0.5}{0.75* 0.5 +0.40 *0.5]}[/tex]

[tex]P(S/R) = \dfrac{0.375}{0.375 +0.20} \\ \\ P(S/R) = \dfrac{0.375}{0.575}[/tex]

P(S/R) = 0.65

Answer:

I can help if you give me the expression. Otherwise, you can put it into a math calculator that provides you with a step-by-step explanation. Such as Symbolab

Answer:

Step-by-step explanation:

area of circle=π[tex]r^{2}[/tex]

=22/7*[tex]21^{2}[/tex]

=22/7*441

=9702/7

=1386 cm^2