k(x)=-2x^2+10x+5, Evaluate k(3)

Answer: 392.06

Step-by-step explanation: addiction kid

if not right then correct me.

Answer:

.067 kg sugar

Step-by-step explanation:

Answer: x^2 = 11x - 18

Step-by-step explanation:

the answer to your question is -67.424

hi

X - (-Z) =  X + -1* -Z

           =  X + Z

If X = -8  and  Z = -11

so X+Z =  - 8 + (-11)

           =   -8-11

           = -19

Answer:

250.575

Step-by-step explanation:

3.341 * 75 = 250.575

Answer:

8 < x < 34

Step-by-step explanation:

ab = 13, ac = 21, bc = x

The longest side of a triangle must be less than the sum of the other two sides.

If 21 is the longest side:

21 < 13 + x

8 < x

If x is the longest side:

x < 13 + 21

x < 34

Therefore, 8 < x < 34.

The area of the rectangle is  (14 + 1/3)  square yards.

We know that for a rectangle of length L and width W, the area is:

A = L*W

Here we know that:

L = (4 + 2/3) yards.

W = (3 + 1/4) yards.

We just need to take the product between these two numbers, we will get:

area =  (4 + 2/3)* (3 + 1/4) yd²

Expanding the product:

(4 + 2/3)* (3 + 1/4) yd² = [ 4*3 + 4*(1/4) + (2/3)*3 + (2/3)*(1/4)] yd²

                                    = [ 12 + 1 + 2 + 2/6] yd²

                                     = (14 + 1/3)  yd²

That is the area of the rectangle.

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Answer: 2/90 = 1/45

Step-by-step explanation:

Richard: 12 cookies

Meghan: 10 cookies

If Richard eats 4 cookies, then Meghan would eat half, or 2. So Richard would have 8 cookies, and Meghan would also have 8 cookies.

12 - x = 10 - x/2

If x = 4

12 - 4 = 10 - 4/2

8 = 8

Which confirms that Richard would have to eat 4 cookies for them to have the same amount.

I hope this helps! :)

The equation for the Volume (V) of the cone given is,

We are to isolate 'h' in the equation above

SOLUTION

Multiply both sides by 3

Simplify

Divide both sides by πr²

Simplify

Hence, the answer is

As per the 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year is (0.1859,0.2133).

Confidence interval:

In statistics, confidence interval is an estimate of an interval in statistics that may contain a population parameter.

Given,

According to a recent pew research center report, many American adults have made money by selling something online. in a random sample of 4579 American adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met.

Here we need to construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year.

As per the given question, the value of

Confidence interval = 98%

Number of samples = 4579

Reported numbers = 914

Therefore, the number of failure is calculated as,

=> 4579 - 914

=> 3665

Here the sample proportion is the number of successes divided by the sample size:

=> 941/4579

=> 0.1996

Here for confidence level 1 − α = 0.98,

We have to determine zα / 2 ​= z0.01​ using the normal probability table in the appendix, we get

zα/2 ​= 2.33

Then the margin of error is calculated as,

E = 2.33 x √[0.1996 x (1 - 0.1996)]/4579

E = 0.0137

Then the boundaries of the confidence interval are then:

p⁻ˣ = 0.1996−0.0137 = 0.1859

p⁺ˣ = 0.1996+0.0137 = 0.2133

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Answer:

(1,2)

Step-by-step explanation:

x+4y = 9

2x -4y= -6

Add the equations together

x+4y = 9

2x -4y= -6

-------------------

3x +0y = 3

3x=3

Divide by 3

3x/3 = 3/3

x=1

Now find y

x+4y = 9

1 +4y =9

Subtract 1 from each side

4y = 8

Divide by 4

4y/4 = 8/4

y =2

Answer:

Step-by-step explanation:

(2u+3u)(u+v)-2u+3v

=2u(u+v)+3u(u+v)-2u+3v

=2u^2+2uv+3u^2+3uv-2u+3v

=5u^2+5uv-2u+3v

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

The low Q₁ is 13 and the median Q₃ is 16.5, the high is 18 and the interquartile range is 3.5

The interquartile range is a measure of dispersion that tells us how spread out the middle 50% of a dataset is. To calculate the IQR, we first need to find the quartiles of the dataset. Quartiles divide a dataset into four equal parts, with the first quartile (Q₁) representing the 25th percentile, the second quartile (Q₂) representing the 50th percentile (also known as the median), and the third quartile (Q₃) representing the 75th percentile.

To find the quartiles of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18}, we first need to order the data in ascending order:

10, 13, 13, 14, 15, 15, 16, 17, 18

The low is the smallest value in the dataset, which is 10.

To find Q₁, we need to find the value that is 25% of the way through the dataset. Since we have 9 values in our dataset, 25% of 9 is 2.25. This means that Q₁ lies between the 2nd and 3rd values in the dataset, which are both 13. To find the exact value of Q₁, we can take the average of these two values:

Q₁ = (13 + 13) / 2 = 13

The median is the middle value in the dataset, which is 15.

To find Q₃, we need to find the value that is 75% of the way through the dataset. 75% of 9 is 6.75, which means that Q₃ lies between the 6th and 7th values in the dataset, which are 16 and 17, respectively. To find the exact value of Q₃, we can take the average of these two values:

Q3 = (16 + 17) / 2 = 16.5

The high is the largest value in the dataset, which is 18.

Now that we have found the quartiles, we can calculate the IQR by subtracting Q1 from Q₃:

IQR = Q₃ - Q₁ = 16.5 - 13 = 3.5

Therefore, the interquartile range of the dataset {10, 13, 13, 14, 15, 15, 16, 17, 18} is 3.5. This tells us that the middle 50% of the dataset is relatively tightly clustered around the median, with values ranging from 13 to 16.5.

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Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

Answer:

Step-by-step explanation:

Given that:

The mean \(\mu\) = 22.40

The standard deviation = 0.048

Sample size n = 36

Then; the expected mean \(\mu_{\overline x }\) = \(\mu\) = 22.40

With Replacement;

The standard deviation \(\sigma _{ \overline x} = \dfrac{\sigma}{\sqrt{n}}\)

\(\sigma _{ \overline x} = \dfrac{0.048}{\sqrt{36}}\)

\(\sigma _{ \overline x} = \dfrac{0.048}{6}\)

\(\sigma _{ \overline x} =0.008\)

Without replacement;

The standard deviation \(\sigma _{ \overline x} = \sqrt{\dfrac{{N-n}}{N-1}} \times \dfrac{\sigma}{\sqrt{n}}\)

\(\sigma _{ \overline x} = \sqrt{\dfrac{{300-36}}{300-1}} \times \dfrac{0.048}{\sqrt{36}}\)

\(\sigma _{ \overline x} = \sqrt{\dfrac{{264}}{299}} \times \dfrac{0.048}{6}\)

\(\sigma_{\overline x} = 0.0075\)

Also;

For population consisting of 72 ball bearings.

the expected mean \(\mu_{\overline x }\) = \(\mu\) = 22.40

With Replacement;

The standard deviation \(\sigma _{ \overline x} = \dfrac{\sigma}{\sqrt{n}}\)

\(\sigma _{ \overline x} = \dfrac{0.048}{\sqrt{72}}\)

\(\sigma _{ \overline x} = \dfrac{0.048}{8.485}\)

\(\sigma _{ \overline x} =0.0057\)

Without replacement;

The standard deviation \(\sigma _{ \overline x} = \sqrt{\dfrac{{N-n}}{N-1}} \times \dfrac{\sigma}{\sqrt{n}}\)

\(\sigma _{ \overline x} = \sqrt{\dfrac{{300-72}}{300-1}} \times \dfrac{0.048}{\sqrt{72}}\)

\(\sigma _{ \overline x} = \sqrt{\dfrac{{228}}{299}} \times \dfrac{0.048}{8.485}\)

\(\sigma_{\overline x} =0.0049\)

A) The expected mean and standard deviation of the sampling distribution of means if sampling is done with replacement are;

μₓ = 22.4 oz and σₓ = 0.008 oz

B) The expected mean and standard deviation of the sampling distribution of means if sampling is done without replacement are;

μₓ = 22.4 oz and σₓ = 0.008 oz

A) Sample size; n = 36

Standard deviation; σ = 0.048

Mean; μ = 22.4

Sampling with replacement;

Expected mean is; μₓ = μ

Thus; μₓ = 22.4 oz

Expected standard deviation is gotten from the formula;

σₓ = σ/√n

σₓ = 0.0048/√36

σₓ = 0.008 oz

B) Sampling without replacement;

Expected mean is; μₓ = μ

Thus; μₓ = 22.4 oz

Expected standard deviation is gotten from the formula;

σₓ = (σ/√n) × √((N - n)/(N - 1))

The sample size of 36 is way less than 5% of the population size 1500. Thus, we would drop the factor √((N - n)/(N - 1)) according to general rule of fpc and our expected standard deviation is;

σₓ = (σ/√n)

σₓ = 0.0048/√36

σₓ = 0.008 oz

The population now consists of a sample size of 72 ball bearings. Thus;

C) With Replacement;

Expected mean remains; μₓ = 22.4 oz

Expected standard deviation is;

σₓ = (σ/√n)

σₓ = 0.048/√72

σₓ = 0.0057 oz

D) Without Replacement;

Expected mean remains; μₓ = 22.4 oz

Expected standard deviation is;

σₓ = (σ/√n) × √((N - n)/(N - 1))

We will maintain that formula because 72 as sample size is very close to 5% of the population size. Thus;

σₓ = (0.048/√72) × √((1500 - 72)/(1500 - 1))

σₓ = 0.0055 oz

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Answer:

\(44 + 104 + (18 + 7x) = 180 \\ 7x = 180 - 44 - 104 - 18 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2\)

THE REASON IS THE SUM OF ANGLES OF A TRIANGLE IS 180°

HOPE THIS HELPS!

Answer:

Step-by-step explanation:

    Remember the SAS rule is that you know the measure of 2 sides and their angle in between. (Note that SSA side side angle DOESN'T work.)  For the first question we know that sides JH and LM are congruent, and sides GJ and MK are as well. Secondly, we know that angles M and J are congruent. The question is; does this problem follow the SAS (side angle side) rule? Yes, their are two proven congruent sides on the two triangles, and the angle between them is proven congruent as well.

Second one is congruent because it follows the SSS rule (side side side) ie: all sides are congruent, so therefore the triangles are congruent.

Think about the third one. Is it congruent or not. (To be congruent it has to follow SSS, or SAS) Comment below so I can correct you.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer: sooo ok i see here that it might be 5 inches if i'm wrong correct me  

Step-by-step explanation:

Given:

The first customer paid $17 for 7 small envelopes  and 3 memo pads.

The second customer paid $28.75 for 12 small  envelopes and 5 memo pads.

To find:

The cost in dollars of each memo pad.

Solution:

Let x be the cost of each small envelop and y be the cost of each memo pad.

The first customer paid $17 for 7 small envelopes  and 3 memo pads.

\(7x+3y=17\)         ...(i)

The second customer paid $28.75 for 12 small  envelopes and 5 memo pads.

\(12x+5y=28.75\)    ...(ii)

Multiply equation (i) by 12 and equation (ii) be 7 to get same coefficient of x.

\(84x+36y=204\)         ...(iii)

\(84x+35y=201.25\)    ...(iv)

Subtracting (iv) from (iii), we get

\(84x+36y-84x-35y=204-201.25\)

\(y=2.75\)

Therefore, the cost of each memo pad is $2.75.

Answer:

6797999012

Step-by-step explanation:

819 in base five is equal to 13134.

Base five is a positional numeral system used in mathematics, having 5 as its base or radix. This means that it represents any real number using five different symbols, often the digits 0, 1, 2, 3, and 4. The ones place is represented by the digit on the right, the place of the five by the digit to the left, the twenty-fives place by the digit after that, and so on. Each digit in base five represents a multiple of a power of five.

To write 819 in base five:

Repeat steps 1-3 with the remainder (194):

Repeat steps 1-3 with the remainder (69):

Repeat steps 1-3 with the remainder (19):

The remainder (4) is less than 5, so write it down in the 5^0 place (rightmost digit).

Combine all the digits: 13134.

Therefore, 819 in base five is equal to 13134.

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Answer:

CD ⇒ PQ,  SR ⇒ BA,  RQ ⇒ AD,  PS ⇒ CB    

∠ A ⇒ ∠ R,   ∠B ⇒ ∠S,   ∠C ⇒ ∠P,   ∠D ⇒ ∠Q

Step-by-step explanation:

By Definition of Congruency

Answer:

..

...the second one .......