Andy, ben and Cathy have £177 between them. Cathy has 3 times as much as ben. andy has £12 more than ben

Answer:

4th answer I believe

hope this helps

Answer:

240 employees or A

Step-by-step explanation:

12 employees : 2 instructors

or 6:1

so there are 40 instructor

so 6*40 equals 240 employees

Variance is average of squared error of observations from mean. The variance of given data is 5.2

Variance is average of squared error of observations from mean.

then its variance is given as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2[/tex]

The given data set is 4,7,4,10,5

Thus, n = 5 (total 5 observations (data values) )

Their mean is [tex]\overline{x} = 6[/tex] (it is taken as 'm', but for ease with formula, take it as [tex]\overline{x}[/tex] )

Thus, their variance is calculated as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2 \\\\\sigma^2 = \dfrac{(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 +(5 - 6)^2}{5} \\\\\sigma^2 = \dfrac{4 + 1 + 4 + 16 + 1}{5} = \dfrac{26}{5} = 5.2[/tex]

Thus,

The variance of given data is 5.2

Learn more about variance here:

https://brainly.com/question/3699980

Answer:

d

Step-by-step explanation:

Answer:

12 and 8

Step-by-step explanation:

basic knowledge of math i guess

hope that helps love

it is the first one

Step-by-step explanation:

because I used my brain and its correct

Answer:

the first one is correct i believe

Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally:

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)

  78x -13 = 70x +35 . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . divide by 8

_____

Additional comment

The unknown segment lengths are ...

  6·6 -1 = 35

  10·6 +5 = 65

Then the ratios to the known sides are ...

  35/42 = 65/78 = 5/6

Answer:

[tex]-5°F, 0°F, 2°F , 5°F , \\ 13°F, 20°F[/tex]

Answer:

55°

Step-by-step explanation:

x+x-20=90[Complementary angle]

or, 2x-20=90

or, 2x=90+20

or, 2x=110

or, x=110/2

x=55°

there you go the steps and then the solution

Answer:

Yes it is a function. It passes the vertical line test. In other words, it is impossible to draw a single vertical line through more than one point on the V shaped graph. Any input leads to exactly one output.

The domain is the set of all real numbers. This is because we can plug in any x value leading to some specific y value. There are no holes or gaps or jumps to indicate we must restrict any given x value. The domain would not be the set of whole numbers only because values between the whole numbers (eg: decimal values like x = 2.75) work just fine.

The range is the set of y values such that y is either 0 or larger than 0. In short, the range is . Notice how any point on the V shaped graph has a y coordinate that is either 0 or larger than 0. It is impossible to get a y value that is negative.

Step-by-step explanation:

Answer:

0.03

Step-by-step explanation:

Hope I helped

-Hunter Cross

Please mark Brainliest if Correct

Answer:

x

Step-by-step explanation:

The greatest common factor is x. This is the biggest term that each term can be divided by.

Answer:

240

Step-by-step explanation:

Answer:

214.50

Step-by-step explanation:

A = lw

13 x 11 = 143 (13 is a guess)

143 x 1.50 = 214.50

im not 100 % but give it a try

hope this helps

pls mark brainliest

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Slope: m

(-3,1) and (3,3)

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{3-(-3)} =\frac{2}{6}=\frac{1}{3}[/tex]

Hope this helps!

Answer:

(9,3)

Step-by-step explanation:

Answer:

x=9,y=3

Step-by-step explanation:

Equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

The pH value is the measurement of the water, as it is acidic or basic in nature and amount of it. If the value of pH value is more than 7, the water is basic in nature and if less than 7, the water is acidic.

Given information-

The equation for the pH of a substance is,

[tex]pH = -\log[H^+ ],[/tex]

Here, [tex]H[/tex]hydrogen ions.

The pH value of the solution is 7.2.

The pH value of the solution is given, and the concentration of hydrogen ions has to be find out (in equation model form).

The given equation for pH of the substance is,

[tex]pH = -\log[H^+ ],[/tex]

It can be written as,

[tex]-pH = \log[H^+ ],[/tex]

The pH value of the solution is 7.2. Put the value as,

[tex]-7.2 = \log[H^+ ][/tex]

Rewrite the above equation as,

[tex]\log[H^+ ]=-7.2[/tex]

Using the log property the, above equation can be written as,

[tex][H^+ ]=10^{-7.2}[/tex]

Solve it further as,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

[tex][H^+ ]=6.3095\times10^{-8}[/tex]

Thus, equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

Learn more about the pH value here;

https://brainly.com/question/1810086

Answer:

3/5 < 3/3

Step-by-step explanation:

3/3 = 1 whole (1)

3/5 = 0.6

Answer:

the correct answer is 3

Step-by-step explanation:

4x+24-2=7(4x+2)

4x+22=7*4x+2*7

4x+22=28x+14

4x-28x=14-22

-24x=-8

24x=8

x=3

Answer: I'm not fully sure but I think its 2.07

Answer:

$2.07 per pound

Step-by-step explanation:

we can rewrite 2 2/3 as 8/3

now we can create a proportion from cost to pounds of rice

5.52 is to 8/3 pounds as 'c' is to 1:

(5.52 ÷ 8/3) = c/1

cross-multiply to get:

8/3c = 5.52

multiply each side by 3/8 to get:

c = 5.52(3/8)

c =  2.07

Answer:

explanation is in the diagram

Answer:

6^2

Step-by-step explanation:

When they are divided, just subtract the exponents. 5 - 3 = 2

Step-by-step explanation:

A circle that passes through point 0,2 and (0,8) and has a center that lies on x=4 is what given.

So we know is center (4,p) for some number p,

Since the points on circumference of the circle have the same x value, then we know that the y coordinate of the center must be the midpoint of the circumferences' y coordinates.

Why?

A circle is not a function since it doesn't pass the vertical line test. And the standard form of a circle is

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

With center (0,0).

Consider the equation

[tex] {x}^{2} + {y}^{2} = 9[/tex]

The radius is 3 so two points with x coordinate 0 is

(0,3) and (0,-3). And the midpoint of them is (0,0) which is the center. Which is the defining trait of all circles.

Now, back on hand, our the midpoint of 2 and 8 is 5 so our center is

(4,5).

Now, we must find the radius. We use distance formula.

For (4,5) and (0,8).

[tex]d = \sqrt{(8 - 5) {}^{2} + ({0 - 4) {}^{2} } } [/tex]

[tex]d = \sqrt{3 {}^{2} + {4}^{2} } [/tex]

[tex]d = \sqrt{25} [/tex]

[tex]d = 5[/tex]

So our radius is 5.

So now we use the equation of center h,k.

[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

H is 4

K is 5

[tex](x - 4) {}^{2} + (y - 5) {}^{2} = 25[/tex]

Above is sketch of graph.

Answer:

Ross isn't right.

Step-by-step explanation:

Skateboard $125.95 at 40% off is $75.57

How I got the number:

125.95/100 = 1.2595

1.2595 x 40 = 50.38

125.95 - 50.38 = 75.57

Skateboard $169.95 at 60% off is $67.98

169.95/100 = 1.6995

1.6995 x 60 = 101.97

169.95 - 101.97 = 67.98

Therefore the skateboard that is 60% off is cheaper.

Answer:

y = 5x + 12

Step-by-step explanation:

your answer is....

27(3y+2)