Every day a new puzzle is downloaded into Ken's account. Right now, there are 27 puzzles in his account. The function N ( d ) = 27 + d represents the relation between the number of puzzles, N , and the time, d , measured in days.

Answer:727.2

Step-by-step explanation:40.4x18=727.2

Answer:

8 cm and 9 cm

Step-by-step explanation:

The rule for these types of problems is that the sum of the 2 shorter sides in a triangle is greater than the biggest side's length. If you think about it, it does seem sensible.

5+8 and 6+7 are both 13, but they aren't greater than the biggest side's length which is also 13.

7+2 is also wrong as it is 9, which is less than 13.

8+9= 17, and 17 is greater than 13.

So that's the answer.

Hope this helps! :)

Answer:

D. 8+9

Step-by-step explanation:

i did it

Answer:

3/1 cups

Step-by-step explanation:

For this problem, you are finding the equivalent ratio of 3/1. To find the equivalent ratio of that fraction, you have to multiply (or divide) both quantities  by the same number. (in this case the quantities are 3 and 1)

Basically the same as finding equivalent fractions since ratios are a comparison of two numbers by division (fractions involve dividing)

Therefore, the answer is 3/1 cups. (There are also equivalent ratio calculators online to help as well)

Hope that helped! :)

The restricted values of x for the given rational expression are all real numbers except for x = −12.

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The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.

Answer:

The answer is 19,000

Step-by-step explanation:

18,792 you round to the thousand which is 8 and the number after is 7 which is above 5 so the 8 turns into a 9

Answer:

19000

Step-by-step explanation:

18,792

Rounding to the nearest thousand

The 8 is in the thousands place

We look at the number in the hundreds place, 7

It is 5 or higher so we will round the 8 up to 9 and everything else to the right will become zeros

18,792 becomes 19000

Answer:

2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

x=2x+8/x

x-2x=8/x

-x=8/x

8=-x(x)

8=-x^2

8-(-x^2)=0

8+x^2=0

x^2+8=0

x=2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

\(x = \frac{2x + 8}{x} \)

\( {x}^{2} = 2x + 8\)

\( {x}^{2} - 2x - 8 = 0\)

\((x - 4)(x + 2) = 0\)

\(x = 4\)

or

\(x = - 2\)

Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6

The parameters are given as:

Number - 4

Fraction - 3/6

The following steps can be used to determine the product as the product of a whole number and a unit fraction:

Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.

Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.

Step 3 - Write the given expression.

4 * 3/6

Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.

4 * 3 * 1/6

Step 5 - Simplify the above expression.

12 * 1/6

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Answer:

50%of balnk is 30

the blank is 15 because

50x30/100 gives you what you don't have

so 50x30/100=15

The blank would be 15

Step-by-step explanation:

The four procedures of classification are :(1) data acquisition and segmentation; (2) data preprocessing; (3) feature extraction/dimension reduction; and (4) recognition and classification.

Classification:

The classification procedure is also straightforward. Consider that you have two collections of pictures, each of which is organized by form (e.g., dogs and cats). An example of cyber security is a spam filter that distinguishes spam from other messages. The first machine learning (ML) answer to cyber security issues is most probably spam filters. The supervised learning technique is frequently employed for categorization when examples of certain groups are known. All classes should be defined at the outset. Deep learning techniques operate more effectively when there is more data. However, they use more energy, particularly if they are frequently used in production and to retrain systems.

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The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1

The equation of the function is given as:

f(x) = (x - 3)(x + 1)

When the value of the graph is positive, we have:

f(x) > 0

So, the function becomes

(x - 3)(x + 1) > 0

Split the above inequality

x - 3 > 0 and x + 1 > 0

Solve for x in the inequalities

x > 3 and x > -1

Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1

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Answer:

3

Step-by-step explanation:

You are asked to find the slope of the function.
You can find the slope using the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\).

For simplicity, I'll take the points (0, 0) and (1, 3) and substitute their coordinates into the formula.

\(m = \frac{3 - 0}{1 - 0} \to \frac31 \to 3\)

Therefore, \(y = 3x\)

Answer:

10%

Step-by-step explanation:

if the volume of the water increase by 10 when turns to

ice so it must be decrease by 10 if it changes to water again

Answer:

a) The degrees of freedom are given by:

\(df = 15\)

And the rejection region is \(t_{\alpha}<3.733\)

And the significance level would be:

\(P(t_{15} >3.733) =0.001\)

b) The degrees of freedom are given by:

\(df = 24-1=23\)

And the rejection region is \(t_{\alpha} <-2.5\)

And the significance level would be:

\(P(t_{23} <-2.5) =0.0099 \approx 0.01\)

c) The degrees of freedom are given by:

\(df = 31-1=30\)

And the rejection region is \(t_{\alpha} <-1.697\) or \(t_{\alpha} >1.697\)

And the significance level would be:

\(2*P(t_{30} <-1.697) =0.10\)

Step-by-step explanation:

Part a

We have the following system of hypothesis:

Null hypothesis: \(\mu \leq \mu_0 \)

Alternative hypothesis: \(\mu > \mu_0 \)

The degrees of freedom are given by:

\(df = 15\)

And the rejection region is \(t_{\alpha}<3.733\)

And the significance level would be:

\(P(t_{15} >3.733) =0.001\)

Part b

We have the following system of hypothesis:

Null hypothesis: \(\mu \geq \mu_0 \)

Alternative hypothesis: \(\mu < \mu_0 \)

The degrees of freedom are given by:

\(df = 24-1=23\)

And the rejection region is \(t_{\alpha} <-2.5\)

And the significance level would be:

\(P(t_{23} <-2.5) =0.0099 \approx 0.01\)

Part c

We have the following system of hypothesis:

Null hypothesis: \(\mu = \mu_0 \)

Alternative hypothesis: \(\mu \neq \mu_o\)

The degrees of freedom are given by:

\(df = 31-1=30\)

And the rejection region is \(t_{\alpha} <-1.697\) or \(t_{\alpha} >1.697\)

And the significance level would be:

\(2*P(t_{30} <-1.697) =0.10\)

Answer: 745.50

Step-by-step explanation:

49445-41990=7455

7455/10=745.50

GIVEN:

We are given the expression;

Required;

To determine the constant term that must be added to the expression to make it a perfect square.

Step-by-step solution;

To make the expression a perfect square, we begin by taking the coefficient of x and dividing this by 2. Next we square the result. This is shown below;

Our new expresssion now becomes;

Therefore,

ANSWER:

The constant that must be added is 49.

Answer:

5x2=10

Step-by-step explanation:

Answer:

Her change from $50 was $3

Step-by-step explanation:

25 + 16 = 41

There are 2 pairs of socks so that is $4

41 + 4 = 45

45 + 2 = 47

50 - 47 = 3

Therefore the answer is $3

Answer:

her change was $3  

Step-by-step explanation:

$25 + $16 + $4 + $2 = $47

$50 - $47 = $3

In coordinates, the first number is the x and the second one is y. In (4,2), 4 is the x and 2 is the y. The x axis goes from left to right and the y axis goes from up to down.

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

Think about it as a slope

Step-by-step explanation:

Hope this helps

(a) 45 tens is equal to 450. :- True

(b) 12.3 is equal to 123 ones. :- True

(c) 80 tens is greater than 6 hundreds. :- True

(d) 43,200 is less than 50 thousands. :- True

(e) 60 hundreds = 6,000 :- True

Consider the first statement,

45 tens are equal to 450

So, 45 tens mean 45 times 10 is written as:

45 × 10 = 450

Hence, it's true.

Consider the second statement,

12.3 is equal to 123 ones.

Now, 123 ones is equal to 123 times 1.

123 × 1 = 123

Hence, the statement is true.

Consider the third statement,

80 tens is greater than 6 hundreds.

Now 80 tens = 80 × 10 = 800

Now, 6 hundreds = 6 × 100 = 600

Now, 800 > 600

Hence, the statement is true.

Consider the fourth statement.

43,200 is less than 50 thousands.

Now, 50 thousands = 50 × 1000 = 50,000

We know,

50,000 > 43,200

Therefore, the statement is true.

Consider the fifth statement,

60 hundreds = 6000

Now, 60 hundreds = 60 × 100 = 6000

Therefore, the statement is true.

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Answer:

a) For each bid, there are only two possible outcomes. Either you win, or you lose. Bids are independent of other bids. So we use the binomial distribution.

b) 18.11% probability that you win exactly 3 bids.

c) 94.59% probability that you win 3 bids or fewer.

d) 5.41% probability that you win more than 3 bids.

Step-by-step explanation:

For each bid, there are only two possible outcomes. Either you win, or you lose. Bids are independent of other bids. So we use the binomial distribution. This is the answer for a.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

35​% chance of winning​ it

This means that \(p = 0.35\)

Five bids

This means that \(n = 5\)

b. Find the probability that you win exactly 3 bids.

This is P(X = 3).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{5,3}.(0.35)^{3}.(0.65)^{2} = 0.1811\)

18.11% probability that you win exactly 3 bids.

c. Find the probability that you win 3 bids or fewer.

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.35)^{0}.(0.65)^{5} = 0.1160\)

\(P(X = 1) = C_{5,1}.(0.35)^{1}.(0.65)^{4} = 0.3124\)

\(P(X = 2) = C_{5,2}.(0.35)^{2}.(0.65)^{3} = 0.3364\)

\(P(X = 3) = C_{5,3}.(0.35)^{3}.(0.65)^{2} = 0.1811\)

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1160 + 0.3124 + 0.3364 + 0.1811 = 0.9459\)

94.59% probability that you win 3 bids or fewer.

d. Find the probability that you win more than 3 bids.

Either you win 3 bids or fewer, or you win more than 3 bids. The sum of the probabilities of these events is 100%.

From c, 94.59% probability that you win 3 bids or fewer.

100 - 94.59 = 5.41

5.41% probability that you win more than 3 bids.

Step-by-step explanation:

d=2r.

50=2r

r=50/2

r=25cm.

circumference of circle =2πr

=2×22/7×25

=157cm(approx)

area of circle=πr²

=22/7×(25)²

=704cm