What is the area of triangle in centimeters squared?

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

tn = 8n -7

Step-by-step explanation:

given : t2=9, t4=25

the formula is:

tn = t1 + (n-1) d

gonna find d first:

d = (25-9) /(4-2) = 16/2 = 8

and find tn1:

t1 = 9-8 = 1

so, tn = 1 + (n-1) (8) = 1 +8n -8

tn = 8n -7

Answer:

Solution given

n th term[tn]=?

1st term =a

difference =d

we have

t2=9

a+(n-1)d=9

a+(2-1)d=9

a+d=9

a=9-d..................[1]

again

t4=25

a+(n-1)d=25

a+(4-1)d=25

now

substituting value of a

9-d+3d=25

2d=25-9

d=16/2

d=8

substituting value of d in equation 1.

,a=9-8

a=1

we have

tn term =a+(n-1)d=1+(n-1)8=1+8n-8=8n-7

n th term =8n-7

Answer:

only 3) is true. EC is equidistant (the same distance) to BD

Step-by-step explanation:

since we have no coordinates or other specific distance information for the various points and lines, we can only confirm statements that must be true for any placement of the lines inside a circle with the described attributes.

the distance EC could be the same as CB, but if we move ED further up or down in the circle (still parallel to CB), we can easily see, that this is not a general case.

the same for CB and BD.

since CB and BD are airways parallel to each other, the symmetry principle of a circle requires that the distance of EC is airways equal to the distance of BD for all such possible pairs of parallel lines inside the circle.

the graph itself gives an example that the distance CB and the distance ED do not have to be the same. they can be for certain pairs of parallel lines in the circle, but not for all of them.

Answer:

y = 48

Step-by-step explanation:

Start with the given 3y = 150.

Solve this for y by dividing both sides by 3:  y = 50

Then y - 2 = 50 - 2, or

        y    =    48

The value of y-2 is 48,

Two expressions connected by an equal sign makes an equation.

Given is an equation, 3y = 150

Solving for y,

3y = 150

y = 150 / 3

y = 50

therefore, y-2 = 50-2

= 48

Hence, the value of y-2 is 48,

Learn more about equations, click;

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Answer:

The answer is 220 cubic inches.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (10in) ([tex]5\frac{1}{2}[/tex] in) (4in).

Then, solve the equation for the answer, and the answer for the volume of the rectangular prism is 220 cubic inches.

Answer:

a. 5% of the employees will experience lost-time accidents in both years

b. 24% of the employees will suffer at least one lost-time accident over the two-year period

Step-by-step explanation:

a. What percentage of the employees will experience lost-time accidents in both years?

20% last year, of those who suffered last year, 25% during this year. So

[tex]p = 0.2*0.25 = 0.05[/tex]

5% of the employees will experience lost-time accidents in both years.

b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

5% during the two years.

10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.

First year yes, not on the second.

75% of 20%. So, total:

[tex]0.05 + 0.05*0.8 + 0.75*0.2 = 0.24[/tex]

24% of the employees will suffer at least one lost-time accident over the two-year period

Answer:

Width = 108 cm

Step-by-step explanation:

Perimeter =  2 x (length + width)

297 = 2 x (length + width)

148.5 = Length + width

Ratio of Length to Width = 3 : 8

Sum of ratio = 11

[tex]Length = \frac{3}{11} \times 148.5 = 40.5 \ cm\\\\Width = \frac{8}{11} \times 148.5 = 108 \ cm[/tex]

Answer:

I JUST DID IT ITS 5.

Answer:

5

Step-by-step explanation:

Answer:

-1  1/4 yards

Step-by-step explanation:

7 carries

-8.75 yards  total yardage

    -.8.75 / 7  =  -1.25 yards average per carry

In mixed number ?    -1  1/4 yards          

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The desired expression can be expanded to the sum of products form ...

  A ∧ ¬(B ∧ C) = (A∧¬B) ∨ (A∧¬C)

It will only be true when A is true and one of B or C is false.

(1/2x +3)²

Refer to the above picture for complete calculation...

Answer:

Step-by-step explanation:

1/4 x^2 + 3x + 9

Answer: (1/2x + 3)^2

Now we have to explain it.

If it is going to be a binomial squared then it will be the square root of the first term and the square root of the third term.

[tex](\frac{\sqrt{1} }{\sqrt{4} } + \sqrt{9})^2[/tex]

[tex](\frac{1}{2}+3)^2[/tex]

Answer:

m = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]            

m = [tex]\frac{-2-4}{-5-4}[/tex]

m = [tex]\frac{-6}{-9}[/tex]

m = [tex]\frac{6}{9}[/tex]

m = [tex]\frac{2}{3}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The angle shown is 75°. It is less than 90°, so is an acute angle. (The diagram is misleading in that respect.)

__

The two marked angles are vertical angles, so have the same measure.

  3x° = 75°

  x = 25 . . . . . . . . divide both sides by 3°

9514 1404 393

Answer:

  (9/34)√34 ≈ 1.543

Step-by-step explanation:

The second equation can be rewritten as ...

  6x -10y -12 = 0

  3x -5y -6 = 0

  3x -5y = 6

__

The formula for the distance from point (x, y) to line ax+by+c=0 is ...

  d = |ax+by+c|/√(a²+b²)

Then the distance from a point to the first line is ...

  d = |3x -5y +3|/√(3² +(-5)²)

We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...

  d = |6 +3|/√34

Simplifying and rationalizing the denominator gives a distance of ...

  d = (9/34)√34 ≈ 1.543

Answer:

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.

here,vertically opposite angles are

angle RQW and angle TQU

angle RQV ang angle SQU

angle SQR and angle UQV

angle WQV and angle SQT

Answer:

did, the jackles howled loudly in the forest ?

Answer:

C

Step-by-step explanation:

I've completed the test before. :)

Answer:

6 1/2................

Answer:

250

Step-by-step explanation:

85% · n = 212.5

[convert 85% to .85]

.85n = 212.5

n = 212.5/.85

n = 250

Answer:

The center (-3, 0)

9514 1404 393

Answer:

Step-by-step explanation:

The desired parameters can be found by putting the equation into the standard form for the equation of a circle:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . circle centered at (h, k) with radius r

The values of h and k will be half the coefficients of the linear x- and y-terms, respectively.

  x^2 +6x +9 +y^2 -7 = 9 . . . . . add 9 to complete the square

  (x +3)^2 +y^2 = 16 . . . . . . . . . add 7 to get the desired form

This equation shows us (h, k) = (-3, 0) and r = 4.

The center is (-3, 0), and the radius is 4.

Answer:

6 1/4 simplified 25/4 decimal 6.25

Step-by-step explanation:

if the rope is 8 3/4 and you took away a piece that is equal to 2 1/2 which means you subtract them from each other to get your final answer of 6 1/4

Answer:

8,9,10

Step-by-step explanation:

Let x be the first integer

x+1 is the next consecutive integer

x+2 is the third consecutive integer

The sum is 27

x + (x+1) + (x+2) = 27

Combine like terms

3x+3 = 27

Subtract 3 from each side

3x+3-3 =27-3

3x =24

Divide by 3

3x/3 = 24/3

x=8

The integers are

x=8

x+1 =9

X+2 =10

Answer:

0.44117647058824

15/34 as a decimal is 0.44117647058824.

Answer:

0,4411764706

Step-by-step explanation:

15/34=0,4411764706

Answer:

Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Step-by-step explanation:

Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:

10 x 0.18 + 23 x 0.32 = 9.16

11 x 0.18 + 22 x 0.32 = 9.02

Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Answer:

s-10

hope this helps

have a good day :)

Step-by-step explanation:

9514 1404 393

Answer:

  A)  3.2

Step-by-step explanation:

In this geometry, all of the right triangles are similar. This means side lengths are proportional:

  short side/hypotenuse = x/8 = 8/20

  x = 8×8/20 = 64/20

  x = 3.2

Answer:

35%

Step-by-step explanation:

What was the numerical difference?

88722 - 65720 = 23002

Which number is the denominator for the % increase?

It must be 65720.

23002/ 65720  * 100 = 35%

So if we take 35% of 65720 and add it on  to 65720 what do we get.

35/100 * 65720 + 65720 = 88722 just as we should.

9514 1404 393

Answer:

  C = 9x +2280

Step-by-step explanation:

The 2-point form of the equation for a line can be a place to start.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  C = (4800 -3000)/(280 -80)(x -80) +3000 . . . . . use given values

  C = 1800/200(x -80) +3000 . . . . simplify some

  C = 9x -720 +3000 . . . . eliminate parentheses

  C = 9x +2280