Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.

Point (9,−11); Slope=−8

Answer:

[tex]Mean = 1.030[/tex]

[tex]Median = 1.009[/tex]

[tex]Difference = 0.141[/tex]

Step-by-step explanation:

Given

Data:

.736, .863,  .865,  .913

.915, .937, .983,  1.007

1.011, 1.064, 1.109, 1.132

1.140, 1.153, 1.253, 1.394

Solving (a): Mean and Median

Mean

Mean is calculated as thus;

Mean = Summation of observation divided by number of observations[tex]Mean = \frac{.736 +.863 +.865 +.913 +.915 +.937 +.983 +1.007 +1.011 +1.064 +1.109 +1.132 +1.140 +1.153 +1.253 +1.394}{16}[/tex]

[tex]Mean = \frac{16.475}{16}[/tex]

[tex]Mean = 1.0296875[/tex]

[tex]Mean = 1.030[/tex] Approximated

Median

Since the number of observation is 16;

[tex]Median = \frac{16 + 1}{2}[/tex]

[tex]Median = \frac{17}{2}[/tex]

Median = 8.5th item

This can be determined by calculating the average of the 8th and 9th item

[tex]Median = \frac{1}{2}(1.007 + 1.011)[/tex]

[tex]Median = \frac{1}{2}(2.018)[/tex]

[tex]Median = 1.009[/tex]

Solving b:

For the median to remain 1.009, the largest sample (1.394) must be greater than or equal to 1.253

Calculating the difference:

[tex]Difference = 1.394 - 1.253[/tex]

[tex]Difference = 0.141[/tex]

Hence, it can be reduced by 0.141

Answer:

Option B is the correct graph.

Step-by-step explanation:

The slope in the first expression is 2, the graph shows this in option B.

Answer:

y=3x

Step-by-step explanation:

-2*3=-6

-1*3=-3

0*3=0

1*3=3

2*3=6

3*3=9

Answer:

3

Step-by-step explanation:

You can notice that each time, x is multiplied by 3 to give y.

Answer:

26/31

Step-by-step explanation:

N(B)=12

N(G)=14

N(Y)=5

N(S)=N(B)+N(G)+N(Y)

=12+14+5

=31

Now,

P(Not getting yellow)=N(B)+N(G)/N(S)

=12+14/31

=26/31

Answer: 0.3

Step-by-step explanation:

A percent that is equivalent to 3/10 is: D.) 30%.

In Mathematics, a percentage is any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

By multiplying both the numerator and denominator by a common number such as 10, we have the following:

3/10 × 10/10

30/100

30%

Based on the information provided, we can logically deduce that 30% is equivalent to 3/10. Therefore, the correct answer option is: D.) 30%.

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Answer:

X^2-2x-8

Step-by-step explanation:

Edg assignment

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6.7}}}}}[/tex]

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

Let A ( 7 , 8 ) be ( x₁ , y₁ ) and B ( 4 , 2 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance \: = \: \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(4 - 7)}^{2} + {(2 - 8)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 3)}^{2} + { (- 6)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{9 + 36}}} [/tex]

[tex] \dashrightarrow {\sf{ \sqrt{45} }}[/tex]

[tex] \dashrightarrow{ \sf{6.7 \: \: units}}[/tex]

Hope I helped!

Best regards! :D

Answer:

90

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

Ashley can serve 12 pieces of pizza in the party

Step-by-step explanation:

To solve this question we need to convert the 9 pizzas to decimal:

9 times 4 = 36. That is:

9 pizzas are equal to 36/4 of pizza (36/4 = 9)

As Ashley is serving 3/4 of a pizza she can serve:

36/4 ÷ 3/4 = 36/3 = 12

Answer:

7x + 10

Step-by-step explanation:

-3 + 7x + 13

(7x) + (-3 + 13)

7x + 10

Answer:

0.971%

Step-by-step explanation:

A percentage is simply a ratio to a whole.  If we assume 206 tons to be the whole, we can say this:

2 tons / 206 tons  == 0.00971

And the percentage is out of 100 so:

0.00971 * 100  == 0.971 %

Hence, 2 tons is 0.971% of 206 tons.

Cheers.

Answer:

80

Step-by-step explanation:

1/10 = 10% = 0.1

0.1 x 8 = 0.8 = 80%

Answer:

C. If Sally does not play basketball, then She is not 6 feet tall

Step-by-step explanation:

Represent the two statements with p and q

Given

p = Sally is 6 feet tall

q = Sally plays basketball

Required

Determine the contrapositive

For a statement

[tex]p\ -> q[/tex]

Meaning; If p then q

The contrapositive is:

[tex]\¬q -> \¬p[/tex]

Meaning: If not q, then not p

Hence;

Option C answers the question

Answer:

can't get your question well

Answer: 750

25 times 3 is 75. Tack on a zero to get 25 times 30 = 750

The two negatives cancel each other out so the result is positive.

Answer:

k/9 < 1/3

k < 3

Step-by-step explanation:

quotient is division

k/9 < 1/3

Multiply each side by 9

k < 9/3

k < 3

Answer: inductive argument.

Step-by-step explanation:

Deductive argument is a logical argument in which a conclusion is made upon the given premises which are assumed to be true.

inductive argument works on the basis of a series of observation and then bring it to frame a certain conclusion.

Here, Flanagans are considering the observation they made by previous children (i.e. they are athletically gifted) and applying the same on the new one by saying "youngest child is bound to be athletically gifted as well.".

So it is of-course an inductive argument.

I believe the answer is B: -3/4.

Answer:

I believe it is y=2x+6.

Answer:

[tex]y=2\,x+6[/tex]

Step-by-step explanation:

Start by finding the slope of the segment that joins the two given points, using the slope formula:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{12-(-4)}{3-(-5)} =\frac{16}{8} =2[/tex]

Now, you can write the general equation of the line in slope-intercept form as:

[tex]y=m\,x+b\\y=2\,x+b[/tex]

and find the line's y-intercept (b) by using either one of the given points - for example (3, 12):

[tex]y=2\,x+b\\12=2\,(3)+b\\12=6+b\\b=6[/tex]

Therefore, the equation of the line is:

[tex]y=2\,x+6[/tex]

Answer:

25 less than 19

Step-by-step explanation:

Required

Determine the odd one among the list of options

Start by taking the options one after the other;

1. 19 less than 25:

This implies 25 - 19

2. 25 less than 19

This implies 19 - 25

3. 19 subtracted from 25

This implies 25 - 19

4. 25 minus 19

This implies 25 - 19

From the above analysis, the off option is option (2);

Answer:

25 less than 19

Step-by-step explanation:

Required

Determine the odd one among the list of options

Start by taking the options one after the other;

1. 19 less than 25:

This implies 25 - 19

2. 25 less than 19

This implies 19 - 25

3. 19 subtracted from 25

This implies 25 - 19

4. 25 minus 19

This implies 25 - 19

From the above analysis, the off option is option (2);

Answer:

[tex]\sqrt{75}[/tex]

Step-by-step explanation:

If it was actually square-rooted, it would be 8.660254038, but that is not the simplest form. Therefore, the simplest from of the square root of 75 is the square root of 75 itself, which is [tex]\sqrt{75}[/tex]. Hope this helped!

Answer:

0.5%/year

24.2%

Step-by-step explanation:

Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation

Percentage of females by year:

1980 = 6.2%

1990 = 10.8%

2000 = 13.6%

2012 = 21.7%

Average yearly increase :

Percentage increase between 1980 - 2012 :

2012% - 1980% = ( 21.7% - 6.2%) = 15.5% increase over [(2012 - 1980)] = 32 years

15.5 % / 32 years = 0.484375% / year = 0.5%/year

b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,

Given an average increase of 0.484375% / year

(2030 - 1980) = 50 years

Hence by 2030 ; ( 50 years × 0.484375%/year) = 24.218% will claim no religious affiliation.

=24.2% (nearest tenth)

In this exercise we have to use the percentage knowledge to calculate an estimate per year, in this way we find that;

A) [tex]0.5\%/year[/tex]

B) [tex]24.2\%[/tex]

Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation.  Percentage of females by year:

[tex]1980 = 6.2\%\\1990 = 10.8\%\\2000 = 13.6\%\\2012 = 21.7\%[/tex]

A) Average yearly increase  can be caculeted by:

[tex]2012\% - 1980\% = ( 21.7\% - 6.2\%) = 15.5\% = 32 years \\15.5 \% / 32 years = 0.484375\% / year = 0.5\%/year\\[/tex]

B)  Estimate the portion of first-old age institution of higher education woman the one will claim no religious association with an organization fashionable 2030, Given an average increase of:

[tex](2030 - 1980) = 50 years\\ ( 50 years * 0.484375\%/year) = 24.2\%[/tex]

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Answer:

B. Reflection

Step-by-step explanation:

Answer:

3.215

Step-by-step explanation:

(1.99+2.99+3.99+3.89)÷4 (the amount of numbers being added)= 3.215

answer=3.215

Step-by-step explanation:

Hope it is helpful for you

if it is follow me

Answer:

ROS=72° TOS=83°

Step-by-step explanation:

(4x-20)+(3x+14)=155

7x-6=155

7x=161

x=23

4(23)-20=72

3(23)+14=83

Answer:

ROS is 72 degrees.

TOS is 83 degrees.

Step-by-step explanation:

So we know that the measure of Angle ROT is 155.

Angle ROT is the combined value of Angle ROS and Angle TOS. In other words:

[tex]ROT=ROS+TOS[/tex]

Substitute 155 for ROT, (4x-20) for ROS, and (3x+14) for TOS. Thus:

[tex]155=(4x-20)+(3x+14)[/tex]

Combine like terms:

[tex]155=(4x+3x)+(-20+14)[/tex]

Add:

[tex]155=7x-6[/tex]

Add 6 to both sides:

[tex]161=7x[/tex]

Divide both sides by 7:

[tex]x=23[/tex]

So, the value of x is 23.

Now, plug that into each of the Angle equations to solve for each angle:

[tex]ROS=4x-20\\ROS=4(23)-20[/tex]

Multiply:

[tex]ROS=92-20[/tex]

Subtract:

[tex]ROS=72[/tex]

Same thing for TOS:

[tex]TOS=3x+14\\TOS=3(23)+14[/tex]

Multiply:

[tex]TOS=69+14[/tex]

Add:

[tex]TOS=83[/tex]

And we're done!

Answer:

Step-by-step explanation:

y = kx² - 3x

Since the points lie on the graph we can substitute the values of x and y that's

( 2 ,6) into the equation to find k.

We have

6 = (2)²k - 3(2)

6 = 4k - 6

4k = 6 + 6

4k = 12

Divide both sides by k

That's

[tex] \frac{4k}{4} = \frac{12}{4} [/tex]

We have the final answer as

Hope this helps you

Answer:

56, 57, and 58.

Step-by-step explanation:

Firstly, you have to count the number of spaces between the two points on the line, which gives you 9. Now, remember that you are counting between tenths on a number line, so you divide 9 by 10 to give you your answer, 0.9.

Step-by-step explanation: