The sum of two numbers is -14. If the smaller number is subtracted from the larger number, the result is 10. Find the number

The equation of the line of best fit that Brianna drew is: c. y = 2x + 5

Recall:

Thus:

Slope of a line (m) = change in y/change in x

Change in y = 2 units

Change in x = 1 unit

Slope = 2/1 = 2

The y-intercept is the point where the line of best fit intercepts the y-axis which is at y = 5.

y-intercept (b) = 5

Substitute b = 5 and m = 2 into y = mx + b

y = 2x + 5

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Answer:

c    ..)

Step-by-step explanation:

Answer:

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

[tex]\mu=85\\\sigma=6\\n=36[/tex]

As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.

Compute the probability that the sample mean will be between 82.5 and 86 years as follows:

[tex]P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351[/tex]

Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Standard deviation σ = 6

Sample size n =36

The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.

Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.

So, the standard deviation of sample means =  σ/√n

The probability that the sample mean will be between 82.5 and 86 years:

[tex]P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )[/tex]

[tex]P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)[/tex]

[tex]P(-2.5 < Z < 1) =0.8413-0.0062=0.8351[/tex]

Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

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Answer: y= 3/2x+1

Step-by-step explanation:

Answer is : A .. Hope it helped

Answer:

answer big no l

x=-6

y=10

Step-by-step explanation:

answer of 4

x 30

Answer:

Step-by-step explanation:

1) 5x + 4 + 3x - 8 = 180 ( co - interior angles )

8x - 4 = 180

8x = 184

x = 184 / 8

x = 23°

y = 3x - 8 ( vertically opposite angles )

y = 3 × 23 - 8

= 69 - 8

= 61°

4) 5 x + 7 = 2x + 97 ( vertically opposite angles )

5x - 2x = 97 - 7

3x = 90

x = 90 / 3

x = 30°

Hope this helps

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Answer:

x^6

Step-by-step explanation:

Volume=w times height times length

Volume=x^2 times x^2 times x^2

x^2+2+2

x^6

Answer:

x^6 is volume

Step-by-step explanation:

So a volume of a cube is lenght times width times height.  

Or the cube of a side(number to the power of 3)

Let's say one of the sides is 7. Then the volume would be 7 times 7 times 7 or 7 cubed which is equal to 729.

Answer:

the answer is c

Step-by-step explanation:hope this helps

Answer:

C or the third option, 3/4 x + 10

Step-by-step explanation:

100% correct please mark brainlist. HAVE A GREAT DAY

Answer:

Step-by-step explanation:

Option A. 0.296 and 0.9888 is correct because rational no are terminating and repeating ..

Answer:

140

Explanation:

an=-12+4(n-2)

an=-12+4([40]-2)

an=-12+4(38)

an=-152-12

an=140

The 40th term in the sequence defined by aₙ= -12+4(n-2) is 140

using AP formula,

aₙ = a + (n - 1)d

where

a = first term

d = common difference

n = number of terms

Therefore,

aₙ = -12 + 4(n-2)

n = 40

a₄₀ = -12 + 4(40 - 2)

a₄₀ = -12 + 4(38)

a₄₀ = -12 + 152

a₄₀ = 140

The 40th term of the sequence is 140.

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Answer:

It is 2/15

Step-by-step explanation:

[tex]\frac{3}{19\frac{7}{2} } =\frac{3}{\frac{45}{2} }\\=\frac{2}{15}[/tex]

Dont know if this helps but here you go :)

Answer:

4/9

Step-by-step explanation:

20+16= 36 total shapes. 16/36 simplifys to 4/9.

The simplest ratio of triangles to total shapes is 4:7.

Given that the number of squares=20 and the number of triangles=15.

The total number of shapes=20+15=35.

We need to find the simplest ratio of triangles to total shapes.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.

Now, triangles: total shape=20:35

=4:7

Therefore, the simplest ratio of triangles to total shapes is 4:7.

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Answer:

1.11.83

2. 20.12

3. 28.28

4. 33.91

5.80.62

6.24.08

7.17.32

8. 15.81

9. 16.85

10. 28.18

Step-by-step explanation:

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Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

multiply -6 with 6 so we can have common denominator as 12/6

that's gives us -36/6+12/6

-36+12 is -24 so our answer up till now will be -24/6.... this can be simplified by 6 to get -4

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Answer: 10 days

Step-by-step explanation: So if the librarian sorted at a constant rate, then they sorted the same amount of books all 6 days. If they still have 200 books left to sort, then they sorted 300 books over 6 days. This means that they sorted 50 books per day. 200 divided by 50 is 4. So it will take 4 more days to finish sorting all the books. So altogether, it will take 10 days to sort all of the books.

The total number of required days is 10.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

The total number of books is 500.

The books left after 6 days is 200.

The number books read per day is given as,

(500 - 200)/6

= 300/6

= 50

Now, number of days the remaining number of books to be read is,

200/50 = 4

Thus, the total number of days is 6 + 4 = 10.

Hence, it will take 10 days from the start to finish all the books.

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Answer:

The amount of right-handed players is 53

Hope this Helps :)

Answer:

x=NaN your welcome hehe

Answer:

Step-by-step explanation:

The hot air balloon descends 22.498 feet after 3.333 seconds.

The situation indicates that the height decrease is directly proportional to time. The distance is equal to the product of speed (v), in feet per second, and time (t), in seconds.

s ∝ t

s = v · t        (1)

If we know that v= 6.75 ft / s and t = 3.333 ft, then the change in the height of the hot air balloon is:

s = (6.75 ft / s) · (3.333 s)

s = 22.498 ft

The hot air balloon descends 22.498 feet after 3.333 seconds.

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Answer:

y = 4x - 1

Step-by-step explanation:

Equation y = 4x - 1 matches the function described in the table.

Answer:

9 hours or less. with a $3 off coupon she could spend up to $54. divide that by $6 per hour and that gives you a possibility of nine hours of boat rental.

Answer:

7:00

Step-by-step explanation:

Answer:

12.9x-9

Step-by-step explanation:

5.3x-9+7.6x

5.3x+7.6x = 12.9x

=12.9x-9

Answer:

x=11, y=1 or (11, 1)

Step-by-step explanation:

I used substitution to solve this. Basically wherever there's an x, I would fill it in as 12-y.

2(12-y)+3y=29

24+2y+3y=29

24+5y=29

subtract 24 from both sides

5y=5

divide by 5

y=1

Now substitute y back in to get x.

x=12-1

x=11

You can also graph this into desmos, and wherever they intercept, that's your answer.  I hope this helps!

Answer:

27

Step-by-step explanation:

Answer:

Yes, by 27 times

Step-by-step explanation:

I hope it helps you