Identify any outlier(s) in the data.
{63, 61, 55, 42, 49, 67, 59, 53, 48, 64, 70, 47, 69, 12, 57, 62}

Answer:

13

Step-by-step explanation:

I think it's helping you....

Answer:

k(x) = |x - 4| - 2

Step-by-step explanation:

So we know that k(x) is shifted 4 untis to the right and 2 units down. In an absolute value function, the value you move to the left will be positive and the value you move to the right will be negative. Since we are moving to the right, our value will be negative.

When you shift the function up or down, you will either subtract or add that value out side the absolute value. Since we are shifting down 2 units, that means we will be subtracting by 2.

Best of Luck!

The amount borrowed from the first and second bank is 19000 and 2000 respectively.

Recall :

Simple interest = P×R×T

Total principal, P = 21000

Bank 1 :

Let, Principal, P = x

Rate, R = 5%

Time, T = 3

Bank 2 :

Principal, P = (21000 - x)

Rate, R = 6.5%

Time, T = 3

Total interest paid = 3240

Bank A interest + Bank B interest = total interest paid

[x × 5% × 3] + [(21000-x) × 6.5% × 3)] = 3240

0.15x + 4095 - 0.195x = 3240

-0.045x = 3240 - 4095

-0.045x = - 855

x = 19000

Hence,

19000 was borrowed from Bank 1

(21000 - 19000) = 2000 was borrowed from bank 2

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Answer:

4

Step-by-step explanation:

3n-(2+n) = 6

3n-2-n = 6

2n-2 = 6

2n = 8

n = 4

Answer:

n=4

Step-by-step explanation:

Start by writing the equation without parenthesis. Since there is a negative sign, everything in the parenthesis changes sign: 3n-2-n=6

Combine like terms: 2n-2=6

move -2 to the other side: 2n=8

divide both sides by 2: n=4

For the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"

Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.

In contrast, there is quantitative data which can be expressed numerically.

Option A, Option B and Option D will get answers which would be in numbers. Thus, their responses would be quantitative.

Option C's question will get response as type of business that the business owners own. So its not in numbers and tells about the characteristic of businesses.

Thus, for the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"

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Answer:n 2 work days, there are 8 hours in each workday. How many hours of help will he need in 2 work days

Step-by-step explanation:

Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16

Step-by-step explanation:

1) -4

2) -8, -6, -4, -3, 0, 3, 5

3) (a) -8 + 5 - 3 - 2

-13 + 5

-8

(b) -7 - 9 + 4 + 3

-7 - 9 + 7

-9

Answer:

64

73

82

91

Step-by-step explanation:

All the two digit numbers with the sum of 10

19

28

37

46

55

64

73

82

91

The numbers whose leading digit is greater than the units digit is:

64

73

82

91

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x = 10.

Step-by-step explanation:

the length of the two sides are the same so x must equal 10. hope this helps

Answer:

x = 10

Step-by-step explanation:

The triangle is isosceles so the two angles in red are equivalent.

This also means that the sides measuring 10 and x are equivalent.

10 = x

x = 10

Answer:

[tex]-3(t+1)(8t-3)[/tex]

Step-by-step explanation:

First, factor both the denominators completely:

[tex]9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)[/tex]

[tex]8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)[/tex]

Now, we can see that the factors of the first denominator are -3 and 8t-3.

The factors of the second denominator are t+1 and 8t-3.

To find the LCD, multiply all of these factors together:

[tex]-3(t+1)(8t-3)[/tex]

Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.

I hope this helps!

Step-by-step explanation:

I think that ×3x²-7x-6 is the answers

Answer:

4y-9

Step-by-step explanation:

y is the number, 4 times the number = 4y

so 4y-9

Answer:

First, start by applying the distributive law property to the given equation:  

8x^8(-6x^3+5x^2+5x)

So, it'll go like this --> x (a + b + c) = xa + xb + xc

After you have the equation in this form you will then simplify.  

See the steps below for better understanding.

(the answer is highlighted in red)

Answer:

- 2/3, 6

Step-by-step explanation:

Slope Formula (Between 2 points)

[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

Let these be the following:

[tex] \displaystyle \large{(x_1,y_1 )= (8, - 5)} \\ \displaystyle \large{(x_2,y_2 )= (8 ,- 2)} [/tex]

Substitute these points in.

[tex] \displaystyle \large{m = \frac{ - 2 - ( - 5)}{8 - 8} } \\ \displaystyle \large{m = \frac{ - 2 + 5}{0} }[/tex]

Since the denominator is 0. The slope is undefined. However, we can still find the equation of a line but not in y-isolated form.

Since for all y-values give same x-values. This means that the line will always pass at (8,y) where y is set of real numbers.

The line has to be vertical since a x-value can export many y-values.

Hence, the equation of a line would be x = 8

Answer:

36

Step-by-step explanation:

The length is 12, and the height is 6

A = 1/2 * b*h

So area = 1/2 * 72 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The first choice.

Step-by-step explanation:

Domain = x value (first value in a coordinate pair: (x,y))

Range = y value

A function cannot have a repeating Domain value.

This eliminates the last option since -4 is used twice.

The second option has 11 as a y value but it is not in the range.

The third option has 10 as an x value but it is not in the domain.

Answer:

Math is the the abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering. You can D1E from math if its just too hard...

Answer:

125 inches

Step-by-step explanation:

In one minute caterpillar crawls 25 inches. So in 5 minutes we have 5 times 25 inches is 125 inches.

By equation

Additional: 25 + 25 + 25 + 25 + 25 = 125 (inches)

Mutiplication: 25 * 5 = 125 (inches)

The caterpillar crawls 125 inches in 5 minutes

because it is said that the caterpillar crawls 25 inches in one minute so we can use multiplication 25 x 5 = 125

Answer:

19.55 $

Step-by-step explanation:

3.45$×10=34.5=150% of his money overall

34.5÷3=11.5

11.5×2=23= 100% of his money

23-15%=19.55$

$23

Step-by-step explanation:

15% of x = 3.45

= 15/100 = 3.45/x

x= 23

Answer:

√17

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.

Answer:

x=10.39,y=9

Step-by-step explanation:

steps are in the picture

The median number of calls is 235.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

Given;

The data;363, 311, 276, 222, 253, 235, 244

Now to find the median arrangement will be

222,235,244,253,276,311,363

Therefore, the median will be 253

Learn more about mean and median;

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#SPJ2

Answer:

Step-by-step explanation:

The total number of ways to draw 3 students is 7*6*5 = 210

Order does not matter. There are 3 students that don't play soccer.

P(3 don't play soccer) = 3*2 * 1 / 210 = 1/35 = 0.02857

Answer:

a) a1=15 first term

b) d=-8 common difference

Step-by-step explanation:

1)a1+d=7

2)a1+a2+a3+a4=12

a1+a1+d+a1+2d+a1+3d=12

4a1+6d=12

2a1+3d=6

We have the system of equations where a1+d=7 and 2a1+3d=6

3a1+3d=21

2a1+3d=6

Subtract the second equation from the first one

a1=15

d=-8

First term = 15

Common difference = -8

Let the first term be a and common difference be d.

Therefore,

a+d = 7       -     eq. 1

a+(a+d)+(a+2d)+(a+3d) = 12      -    eq. 2

4a + 6d = 12

4a + 4d + 2d = 12

Dividing both sides by 2,

2a + 2d + d = 6

2 (a+d) + d = 6

Substituting value of (a+d) in the above equation,

2*7 + d = 6

d = 6 - 14

d = -8

Substuting value of d in eq. 1

a+d = 7

a + (-8) = 7

a = 7 + 8

a = 15

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Answer:

v=-14.4

Step-by-step explanation:

Isolate v.

add - 3.1 to the other side

-7.9+3.1=-4.8

Now the problem is:  -4.8 = v/3

Next, multiply both sides by 3

-4.8 times 3 = -14.4

v = -14.4

Answer:

-14.4

Step-by-step explanation:

-7.9 = -3.1 + (v/3)

- 4.8 = v/3

v = -14.4

Answer:

B. (2, 3, 4)

Step-by-step explanation:

The range of a function is the list of y values. In this instance, the y values present in this function are 2, 3, and 4. Therefore, the answer is B. (2, 3, 4).