A large negative number is added to a small positive number. Which of the following statements is correct about the
sum?
the sum will be negative
the sign of the sum cannot be determined
the num could be the positive or negative
the sum will be positive

Answer:

its b

Step-by-step explanation:

[tex] \sqrt{ ({ - 1 - 7})^{2} + ({2 - a})^{2} } = \sqrt{ ({ - 1 - a})^{2} + ({2 - ( - 3)})^{2} } \\ [/tex]

Bring both sides of the equation to the power of 2

[tex]( { - 8})^{2} + ({2 - a})^{2} = ({ - 1 - a})^{2} + ({2 + 3})^{2} \\ [/tex]

[tex]64 + 4 - 4a + {a}^{2} = 1 + 2a + {a}^{2} + 25 \\ [/tex]

[tex] {a}^{2} - 4a + 68 = {a}^{2} + 2a + 26 [/tex]

Subtract sides -26

[tex] {a}^{2} - 4a + 68 - 26 = {a}^{2} + 2a + 26 - 26 \\ [/tex]

[tex] {a}^{2} - 4a + 42 = {a}^{2} + 2a [/tex]

Subtract sides -a²

[tex] {a }^{2} - {a}^{2} - 4a + 42 = {a}^{2} - {a}^{2} + 2a \\ [/tex]

[tex] - 4a + 42 = 2a[/tex]

Plus sides 4a

[tex]4a - 4a + 42 = 2a + 4a[/tex]

[tex]42 = 6a[/tex]

Divided sides by 6

[tex] \frac{42}{6} = \frac{6}{6}a \\ [/tex]

[tex]a = 7[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

Step-by-step explanation:

the formula for finding  the volume of a cone would be V= 3.14 r sqaured * h/3

so plug that in and it would be   3.14(5.1) sqaured * 13/3

3.14 is the formula of pie which is in the formula for finding the volume of

5.1*5.1=  26.01

3.14* 26.01= 81.67    

13/3= 4.34

81.67* 4.34= 354.45

The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

Since

We know that

Volume = [tex]\pi r^2 \frac{h}{3}[/tex]

Since the circumference is 5.1 inches

So here the radius be like

Circumference = [tex]2\pi r[/tex]

5.1 = 2(3.14) r

r = 0.8121

Now the volume should be

[tex]= 3.14 \times (0.8121)^2 \frac{13}{3}[/tex]

= 8.97824

Hence, The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

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Answer:  One face is 16 square centimeters.

Step-by-step explanation: To find the area of a face, you need to know the length of the side. All the sides of the cube are the same, so take the cube root of 64.

[tex]\sqrt[3]{64}=4[/tex] cm is the length of the side

The area of one face is the side length squared 4² = 16

4cm × 4cm = 16 square centimeters.

Answer:

surface area of one face of the cube will be 16 cm².

Step-by-step explanation:

Cassie has a small cube shaped box.

Volume of the box is 64 cm³

We have to find the area of one face of the box.

Let one side of the box is x

Then volume = x³ = 64

                       x³ = 4³

                       x = 4

Now area of one face of the cube = x²

     then area = 4² = 16 cm²

Therefore, surface area of one face of the cube will be 16 cm².

Answer:

x = 20, the number of chickens as well as the number of ducks.

........

20 chickens, 20 ducks and 10 Dogs 50-20-20

And...checking

$400 + $600 + $500 = 1500

x the number of chickens as well as the number of ducks

20x + 30x + 50(50-2x) = $1500

-50x = -1000

Step-by-step explanation:

Hope this helps

The system of 3 equations to model the situation are;

x + y + z = 50

20x + 50y + 30z = 1500

x = z

The equation:

x + y + z = 50

20x + 50y + 30z = 1500

number of chicken = number of ducks

x = z

Therefore, the equations are;

x + y + z = 50

20x + 50y + 30z = 1500

x = z

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Answer:

8/12 = 2/3

Step-by-step explanation:

Given:

Emily claims that a tree height of 43 inches is an outlier for the distribution.

To find:

Evidence to support the claim if any.

Solution:

The starting and the end of the box in box plot are first and third quartile respectively.

From the given box plot it is clear that, [tex]Q_1=34[/tex] and [tex]Q_3=38[/tex].

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=38-34[/tex]

[tex]IQR=4[/tex]

According to 1.5x IQR rule for outliers, all the data values lies outside the interval [tex][Q_1-1.5\times IQR,Q_3+1.5\times IQR][/tex] are outliers.

Now,

[tex]Q_3+1.5\times IQR=38+1.5(4)[/tex]

[tex]Q_3+1.5\times IQR=38+6[/tex]

[tex]Q_3+1.5\times IQR=44[/tex]

We know that, 43<44.

Since, 43 is not greater than [tex]Q_3+1.5\times IQR[/tex], therefore, 43 is not an outlier and there is no evidence to support the claim.

Therefore, the correct option is D.

Answer:

56 minutes

Step-by-step explanation:

https://quizlet.com/530747948/statistics-unit-2-the-normal-distribution-test-review-flash-cards/

Answer:

a. [tex] y = \frac{2}{5}x - 6 [/tex]

Step-by-step explanation:

The slope-intercept form of equation of a line is given as [tex] y = mx + b [/tex]. Where,

m = slope

b = y-intercept.

Rewrite the equations, [tex] 2x - 5y = 12 [/tex] and [tex] 4y + 24 = 5x [/tex], in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.

[tex] 2x - 5y = 12 [/tex]

[tex] 2x - 12 = 5y [/tex]

Divide both sides by 5

[tex] \frac{2x - 12}{5} = \frac{5y}{5} [/tex]

[tex] \frac{2x}{5} - \frac{12}{5} = y [/tex]

Rewrite

[tex] y = \frac{2x}{5} - \frac{12}{5} [/tex]

The slope of [tex] 2x - 5y = 12 [/tex] is ⅖.

[tex] 4y + 24 = 5x [/tex]

[tex] 4y = 5x - 24 [/tex] (subtraction property of equality)

Divide both sides by 4

[tex] \frac{4y}{4} = \frac{5x - 24}{4} [/tex]

[tex] y = \frac{5x}{4} - \frac{24}{4} [/tex]

[tex] y = \frac{5x}{4} - 6 [/tex]

The y-intercet of [tex] 4y + 24 = 5x [/tex] is -6

Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:

[tex] y = mx + b [/tex]

Plug in the values of m and b

[tex] y = \frac{2}{5}x + (-6) [/tex]

[tex] y = \frac{2}{5}x - 6 [/tex]

Answer:

$12

Step-by-step explanation:

I hope this helps. Have a great day!

Answer:

$31.80

Step-by-step explanation:

first convert 6% into a decimal which is 0.06. then multiply 30 by 0.06 to get 6% of 30 which is 1.80. then add 1.80 to 30 to get your final cost of 31.80

[tex]30*0.06=1.80[/tex]

[tex]30+1.80=31.80[/tex]

final cost: $31.80

Hope this helps!

Answer:

opt B (2,0)

Step-by-step explanation:

.

.

.

pls rate

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

|15-26| = 11  

|-8+19| = 11

11/3 + 11/2 = 22/6 + 33/6

22/6 + 33/6 = 55/6

Answer:

yoy didnt put a picture of the answer choices, so I'm not sure which one this would be, but the answer would be C=5 + .72P

Step-by-step explanation:

C is the total cost, so that would be on the opposite side of the equal sign from P. the 5 would be the constant, since that is the starting price for all packages, and the .72 is the price per pound, so you would have to multiply .72 by P pounds in order to complete the equation.

Hope this helps!

Answer:

[tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

30 yards

Step-by-step explanation:

40 - 10 =30

Answer:

k k k k k k k

Step-by-step explanation:

k k okkkk k k high x crcyycs dgdvcsdvk kkhgj hfyjjdf c triol

Answer:

8 83/104.

Step-by-step explanation:

4 9/13 * 1 7/8

= 61/13 * 15/8

= 915/104

= 8 83/104.

Answer:

65°

Step-by-step explanation:

35° + 80° + x° = 180°

115° + x = 180°

x = 180° - 115°

x = 65°

Answer: 179

Step-by-step explanation:

The population variance cannot be determined solely from a sample, but the sample variance can provide an estimate of it based on the data collected from the sample.

The population variance ) represents the variance of the entire population. In this case, the population consists of 179 students. However, if we take a sample of 25 students from this population, the variance of this sample is called the sample variance

The sample variance ) is used to estimate the population variance ). It is calculated using the following formula:

The population variance  cannot be determined solely from a sample, but the sample variance () can provide an estimate of it based on the data collected from the sample.

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[tex]2\frac{1}{2}*3\frac{1}{3}\\\\\frac{2*2+1}{2}*3\frac{1}{3}\\\\\frac{4+1}{2}* 3\frac{1}{3}\\\\\frac{5}{2} *3\frac{1}{3}\\\\\frac{5}{2} *\frac{3*3+1}{3}\\\\\frac{5}{2}* \frac{10}{3} \\\\\frac{5*10}{2*3} =\frac{50}{6} \\\\\frac{25}{3} \\\\8\frac{1}{3}[/tex]

Hope this helps, have a blessed and wonderful day!   ✝

- Cutiepatutie

The set can be classified as both rational integers and irrational numbers,

Rational numbers are numbers that can be expressed as a division of two integers. They are definite, they include all integers.

Irrational numbers are numbers that are no definite, they have no end.

In the question every other number is a rational number except for square root 81,100  which is an irrational number.

In conclusion, The set can be classified as both rational integers and irrational numbers.

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Answer:

y = 3x

Step-by-step explanation:

There is a dot at (1,3)

The line also goes through (0,0)

The equation is of the form y = mx

b the y intercept is 0.

All we need to do is solve for m

when x = 1, y = 3

3 = m * 1

m = 3

Answer: y = 3x

Answer:1/2t + 4 = 1/4t + 5.5

1/2t - 1/4t = 5.5 - 4

2/4t - 1/4t = 1.5

1/4t = 1.5

t = 1.5 x 4

t = 6

h = 1/2t + 4

h = 1/2(6) + 4

h = 3 + 4

h = 7

solution is (7,6)

means that the plants will both be 7 cm tall after 6 weeks

Answer: The equation is

The cost of 18 roses is 53.10.

Step-by-step explanation:

Given:

A florist sells a dozen roses for 35.40. She sells individual roses for the same unit price.

Now, to find the cost of 18 roses and write an equation to represent the relationship between the number of roses, x, and the total cost of the roses, y.

1 dozen = 12.

Now, to get the cost of 18 roses we use unitary method:

If 12 roses cost = 35.40.

So, 1 roses cost = 2.95.

Thus, 18 roses cost = 53.10.

Therefore, the cost of 18 roses = 53.10.

Now, to write an equation the relationship between the number of roses and the total cost of the roses:

Cost of per rose = 2.95.

As, given in question:

Number of roses =

Total cost of the roses =

Total cost of the roses = Cost of per rose × Number of roses.

So, the equation is:

Therefore, the equation is And the cost of 18 roses is 53.10.

Answer:

x = -5/3

Step-by-step explanation:

Answer:

So what's the question ur trying to ask?

Answer:

no lo se perdon

Step-by-step explanation: