15. Which relation has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8)?
O {(2,-5), (3,-3), (6, 0), (7,-5), (1, 0), (8,-5), (4, -3), (5, 0))
O((-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)}
{(-5, -5), (-3,0), (2, 8), (1,7), (5, 3), (6,4)}
((-5, 9), (10, -3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)}

Option B is a correct representation of the given number line,  -3.8 < 1.5, and is located to the left of 1.5.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is thought to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers.

Given a number line and two points marked on it,

-3.8 and 1.5

we find from the number line that -3.8 lie left to 1.5,

and the negative numbers are always less than the positive numbers,

so -3.8 is less than 1.5,

-3.8 < 1.5, and lie left to 1.5.

Hence, option B is correct.

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No, the estimate of 11 × 2 = 22 tells us that 2.6509 is too small and the decimal point is placed incorrectly. The product has four decimal places and should have been 26.5090, but a missing zero on the end caused the decimal to end up in the wrong position.

PLEASE MARK BRAINLIEST

Answer:

\( \boxed{ n =- 8}\)

Step-by-step explanation:

\(-5n - 2 =38 \\- 5n = 38 + 2 \\ -5n = 40 \\ n = -\frac{40}{5} \\ \boxed{ n =- 8}\)

♨Rage♨

Answer:

8

Step-by-step explanation:

(5² + 7) ÷ 4 ← evaluate terms in parenthesis

= (25 + 7) ÷ 4

= 32 ÷ 4

= 8

Answer:

Step-by-step explanation:

Answer:

3 miles in 24 minutes

Step-by-step explanation:

Step 1

The distribution given is a binomial distribution with following data:

\(n=25, \quad p=0.25\)

Step 2:

(a) Probability of at most 6 calls involving a fax message:

We have to add probabilities for x=0 to x=6

\(\begin{aligned}& P(X \leq 6)=\sum_{x=0}^6{ }^{25} C_x(0.25)^x(1-0.25)^{25-x} \\& =\left(\begin{array}{l}{ }^{25} C_0(0.25)^0(1-0.25)^{25-0}+{ }^{25} C_1(0.25)^1(1-0.25)^{25-1} \\+{ }^{25} C_2(0.25)^2(1-0.25)^{25-2}+{ }^{25} C_3(0.25)^3(1-0.25)^{25-3} \\+{ }^{25} C_4(0.25)^4(1-0.25)^{25-4}+{ }^{25} C_{5 x}(0.25)^5(1-0.25)^{25-5} \\+{ }^{25} C_6(0.25)^6(1-0.25)^{25-6}\end{array}\right)\end{aligned}\)

\(\begin{aligned}& =\left(\begin{array}{l}{ }^{25} C_0(0.25)^0(0.75)^{25-0}+{ }^{25} C_1(0.25)^1(0.75)^{24} \\+{ }^{25} C_2(0.25)^2(0.75)^{23}+{ }^{25} C_3(0.25)^3(0.75)^{22} \\+{ }^{25} C_4(0.25)^4(0.75)^{21}+{ }^{25} C_{5 x}(0.25)^5(0.75)^{20} \\+{ }^{25} C_6(0.25)^6(0.75)^{19}\end{array}\right) \\& =\left(\begin{array}{l}0.0007525+0.006271+0.02508+0.06410 \\+0.1175+0.003171+0.182819\end{array}\right) \\& =0.5611\end{aligned}\)

Therefore,

\(P(X \leq 6)=0.5611\)

Step 3:

(b) Probability of exactly 6 calls involving a fax message:

We have to find probabilities for x=6\(\begin{aligned}& P(X=6)={ }^{25} C_6(0.25)^6(1-0.25)^{25-6} \\& ={ }^{25} C_6(0.25)^6(0.75)^{19} \\& =0.182819\end{aligned}\)

Therefore,

P(X=6)=0.182819

Step 4:

(c) Probability of at least 6 calls involving a fax message:

We have to add probabilities for x=0 to x=5 and subtract from 1\(\begin{aligned}& P(X \geq 6)=1-(P(X < 6)) \\& =1-(P(X \leq 6)-P(X=6)) \\& =1-(0.5611-0.1828) \\& =0.6217\end{aligned}\)

Therefore,\(P(X \geq 6)=0.6217\)

Step 5:

(d) Probability of more than 6 calls involving a fax message:

We have to add probabilities for x=0 to x=6 and subtract from 1\(\begin{aligned}& P(X \geq 6)=1-(P(X \leq 6)) \\& =1-(0.5611) \\& =0.4389\end{aligned}\)

Therefore,

\(P(X \geq 6)=0.4389\)

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Answer:

540 and 282

Step-by-step explanation:

x + y = 822

x - y = 258

Combine the equations

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

2x = 1080

x = 540

Plug in x to the first equation

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

y + 540 = 822

   - 540   -540

y = 282

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

x = 540 and y = 282

Answer:

$1.50

Step-by-step explanation:

They each bought one bottle of water, but one of them bought one less pretz l than th other. The difference in price is $2.50, which means a pretzel is 2.50 . Four pretzels would be $10, which leaves $1.50 fo the water. 3 pretzels would be 7.50, which leaves 1.50 for the water.

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

Answer:

Part a

First option
Increase from around  $160,000 to around  $245000 about a 53% increase

Part b
The prices increased from $220,000 to $245,000

Part c
The prices decreased from  $245,000 to $215,000 . This is about a 12% decrease (actual value is 12.24%)

Step-by-step explanation:

a. From the graph (or looking at the answer choices) we see that in 1999 the median housing price was $160,000

In 2007, we see that the median housing price was approx $245,000. We can eliminate the second and third choices since in 2007, the median price was definitely greater than $220,000

\(\% \;increase = \dfrac{\$ \;increase }{price \;in \;1999} \times 100\\\\= \dfrac{245,000 - 160,000}{160,000} \times 100\\\\= \dfrac{85,000}{160,000} \times 100\\\\= 0.53125\times 100\\\\= 53.125%\\\\\approx 53 \%\)

Hence the correct answer choice is the first option

Part b

From what I can see of the graph(kinda difficult) the median house price was $220,000 in 2004(the point being halfway between 210,000 and 230,000

The median price in 2007 from the information provided in Part a was $245,000

Increase in median price between 2004 and 2007 is 245,000 - 220,000 = $25,000

As a percentage relative to 2004 price this would be

25,000/220,000 x 100

= 11.36 % which I guess, if you rounded up would be 12%

So I am not a 100% sure on this but this is what I can read from the graph

Answer: The prices increased from $220,000 to $245,000

(c) Price for 2007 from part (a) $245,000

Price for 2009 from graph = $215,000
Price decrease = 215,000 - 245,000 = -30,000 (negative indicating a decrease)

Price decrease from 2007 to 2009 as a percentage of 2007 prices:
30,000/215,000 x 100 = 12.24 %which i guess you can round down to 12% or round up to 13% - again not sure.

Answer should be:
The prices decreased from  $245,000 to $215,000 . This is about a 12% decrease

Answer:

It would be better to get marry on 2021 that way they will saved in income taxes $138

Explanation:

We have to compare their two single taxable income

against marry filing jointly:

Martina:

15,000 - 12,200 standard deduction = 2,800

It will be taxed at 10% = 280

Raphael:

45,000 - 12,200 standard = 32,800

It will be taxed 10% of 9,700 = 970

and 12% above: (32,800-9,700) x 12% = 2,772

total income tax for Raphael: 3,742

Total if married in 2022: 4,022

Jointly:

\(60,000 - 24,400 = 35,600\) taxable income

it will be taxes at 10% for the first 19,400 = 1,940

and at 12% for the above: (35,600 - 19,400) x 12% = 1,944

Total: 3.884‬

Difference:

\(4,022 - 3,884 = 138\)

Answer:

Step-by-step explanation:

4000

Answer:

\( {x}^{3} + 2 {x}^{2} + x\)

\(x(x {}^{2} + 2x + 1)\)

\(x(x + 1) {}(x + 1)\)

\(x(x + 1) {}^{2} \)

Answer:

C. x(x+1)2 on edu 2021

Step-by-step explanation:

Answer:

Step-by-step explanation:

2280.796

Answer:

#28: 13

#29: 22

Step-by-step explanation:

The first question

f(5) =3(5) -2

f(5) = 15 -2

f(5) = 13

Second question

P(2,9) = 2(2) + 2(9)

P(2,9) = 4 + 18

P(2,9) = 22

Answer:

$10.34

Step-by-step explanation:

9/100 x $114.95= $10.34

Answer:

P(A|B) = 1 / 6

Step-by-step explanation:

Assuming two fair sided dice with faces numbered 1 to 6.

By intuition, there can only be 6 possible outcomes, so probability is 1/6.

Illustration how to use conditional probability.

Given two events A, B, following is the equation of conditional probability

that A happens given B has already happened and observed.

P(A|B) = P( A intersect B ) / P(B)

In the given problem,

A = casting a double-six

B = casting a double

P(A) = (1 / 6) * (1 / 6) = 1/36

P(B) = (6/6) * (1/6) = 1/6

P(A|B) = 1/36 / (1/6) = 1/6

Answer:

40

Step-by-step explanation:

Its pretty easy i did that on a test and got a 100

Answer:

44 cookies

Step-by-step explanation:

add the remaining cookies to the ones he gave away

(8+14)=22

double that

22x2

answer

44

Answer:

y = 225(x)

Step-by-step explanation:

Given:

Cost per night = 225

Total cost = y

Number of nights = x

Computation:

Total cost = (Cost per night)(Number of nights)

So,

y = 225(x)

Answer:

can someone answe my question

Step-by-step explanation:

Answer: I need helppp

Step-by-step explanation:

Answer:50.000+2000+400+80+9

Step-by-step explanation:

Answer:

50.000 + 2.000 + 400 + 80 + 9

$75 -----> 100%

x ---------> 20%

asnwer 1: they leave her $ 15

answer 2: the total cost of the meal is

$ 90

Answer:

92.3%

Step-by-step explanation:

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

\(\boxed{X \sim\text{N}(\mu,\sigma^2)}\)

Given:

Therefore, if the speeds that people drive down the Pat Bay Highway are normally distributed:

\(\boxed{X \sim\text{N}(90,7^2)}\)

where X is the speed in km/h.

f we want to find what proportion of drivers travel between 80 and 120 km/h, we need to find P(80 ≤ X ≤ 120).

\(\implies \sf P(80 \leq X \leq 120)=P(X \leq 120)-P(X \leq 80)\)

Converting to the Z distribution:

\(\boxed{\textsf{If }\: X \sim\textsf{N}(\mu,\sigma^2)\:\textsf{ then }\: \dfrac{X-\mu}{\sigma}=Z, \quad \textsf{where }\: Z \sim \textsf{N}(0,1)}\)

Transform X to Z:

\(\sf P(X \leq 120)=P\left(Z \leq \dfrac{120-90}{7}\right)=P\left(Z \leq \dfrac{30}{7}\right)\)

\(\sf P(X \leq 80)=P\left(Z \leq \dfrac{80-90}{7}\right)=P\left(Z \leq -\dfrac{10}{7}\right)\)

Therefore:

\(\begin{aligned}\implies \sf P(80 \leq X \leq 120)&=\sf P\left( -\dfrac{10}{7} \leq Z \leq \dfrac{30}{7}\right)\\\\&=\sf P\left(Z \leq \dfrac{30}{7}\right)-P\left(Z \leq -\dfrac{10}{7}\right)\\\\&=\sf 0.999990892...-0.0765637255...\\\\&= \sf 0.9234271...\\\\&=\sf 92.34271...\%\end{aligned}\)

Therefore, the proportion of drivers travelling between 80 and 120 km/h is 92.3% (nearest tenth).

Answer:

10,982

Step-by-step explanation:

use a calculator lol

Answer:

C. 531,441

Step-by-step explanation:

You take the largest possible value and put it to the power of how many numbers there are. In this case 9^6. Hope this helps.

The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11

A composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.

The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.

i.e. the function g(x) = 11 always returns the value 11, regardless of the input.

Therefore, we have:

g(-3) = 11

g(5) = 11

g(a) = 11

g(a+h) = 11

So, regardless of the value of a or h, the function g(x) will always return 11.

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