Supervisor: "I see that 1000 calls were sent to your extension this month. 15% of those calls were not answered, which means that you did not answer __________ calls this month."

Answer: 13

Step-by-step explanation:

Answer:

SSS(Side,Side,Side)

Step-by-step explanation:

In the previous reasons you have proven that all of the sides of each triangle are equal to the corresponding side. You can use SSS to prove that the two triangles are congruent.

Answer:

447

Step-by-step explanation:

Answer:

447

Step-by-step explanation:

Answer:

Answer:

X = 20

Step-by-step explanation:

3x + 50 = 6x -10

3x - 6x = -10 - 50

-3x = -60

x = -60/-3

x = 20

Answer:

x = 20

Step-by-step explanation:

Vertically opposite angles are congruent.

6x - 10 = 3x + 50

       6x = 3x + 50 + 10

       6x = 3x + 60

6x - 3x = 60

        3x = 60

          x = 60/3

x = 20

Answer:

25

Step-by-step explanation:

Answer:

Correct

Step-by-step explanation:

Answer:

sorryyyyyuuuuuuuuuuuuuuuuuuu

Answer:

-3n = 27

Step-by-step explanation:

Answer:

(5 , 11)

Step-by-step explanation:

[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

[tex]3x-4=\frac{2}{5}x+9[/tex]

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]

so the solution of the system of linear equations is (5 , 11)

Answer:

all of them are acute

.......

Answer:

yes. it will be an acute.

Answer:

If you need to find s when t is 9, its simple.

Step-by-step explanation:

All ypu need to do is see what t is

t equals 2

you want to find what s is when t is 9

when t is 2, s is 294

when t is 9, all you have to do is find what times 2 equals 9, then times that number by 294

Answer:

Skewed to the left

Step-by-step explanation:

In pearson mode skewdness, the mean, mode and median are used to determine if we have a positive or negative skewed distribution.

Now, If the mean is greater than the median, it means that the distribution is positively skewed and therefore skewed to the right. However, If the mean is less than the median, it means that the distribution is negatively skewed and therefore skewed to the left.

In our question, the median is 85 and mean is 78. Thus, it means median is greater than the mean and as such, the distribution isnegatively skewed and therefore skewed to the left.

9 is the answer I hope this helped

Answer:

150

Step-by-step explanation:

Start with Rs.5000.

40 notes of 50 Rupees each = 40 * Rs.50 = Rs.2000

Rs.5000 - Rs.2000 = Rs.3000

He took Rs.3000 in 20 Rupees notes.

Rs.3000/Rs.20 = 150

Answer: He took 150 20-Rupee notes

Answer:

150

Step-by-step explanation:

We know that he took out Rs.5000 from the bank and that he took 40 of the 50 Rupees notes. We have to subtract to find the amount he took in 20 Rupees notes and then divide by 20 to find the number. 40*50 = 2000 and 5000 - 2000 = 3000. After that, 3000/20 = 150, so that means that Mr. Dey took out 150 notes of 20 rupees.

Answer:

x = 15

y = 19

The value of the x and y are; 11/6, -5 and  18/4 in the linear equation.

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given parameters;

The equations are;

(4y - 18)

(6x - 11)

(x + 5)​

Now put all equation equal to zero.

Then;

4y - 18 = 0

y = 18/4

And then;

6x - 11 = 0

x = 11/6

And

x + 5 = 0

x = -5.

Hence, In the linear equation, value of the x and y are 11/6, -5 and  18/4.

Learn more about linear equation here;

brainly.com/question/4074386

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Answer:

3 milkshakes and 3 sundaes

Step-by-step explanation:

3 * 5 = $15 + 3 * 2 = $21

Answer:

will i think that's true

Step-by-step explanation:

I hope this helps you

Answer:

I think that it is yes

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

C

Step-by-step explanation:

You are right

Answer:

7/10 *10/10 is 70/100 or 7/10 so equal

Step-by-step explanation:

the product is 7/10.

it is 10/10which simplifies to 1(divide by 10)

so it wouldn't change

Hope this helsp zpl hit hte crown :D

Answer:

Step-by-step explanation:

we know that distance d from the focus to P should be the same to the distance from P to the directrix

(x-h)^2=4p(y-k)

we need to find the y coordinate,

x is the same from focus, 3

y=(3, (4+2)/2)=(3,3)

we find p now by subtracting the y from the focus from the y that we just found

p=4-3=1

again (x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  (x-3)^2=4y-12

simplify

4y=(x-3)^2+12

y=((x-3)^2)/4 + 3

The equation for the parabola would be y = ((x-3)^2)/4 + 3.

We already know that distance d from the focus to P must be the same as the distance from P to the directrix

(x-h)^2 = 4p(y-k)

x is the same from focus 3

y = (3, (4+2)/2)

y  =(3,3)

by subtracting the y from the focus from the y that we get

p = 4-3 =1

similalry,

(x-h)^2=4p(y-k), p=1

(x-3)^2=4(1)(y-3)

(x-3)^2=4(y-3),  

(x-3)^2=4y-12

simplify it;

4y=(x-3)^2+12

y = ((x-3)^2)/4 + 3

Thus, the equation for the parabola would be y = ((x-3)^2)/4 + 3.

Learn more about parabola here;

https://brainly.com/question/16294220

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Answer:-12 x 12 =- 144.

What you do is multiply regularly then add the negative sign, but if your multiplying  2 negatives it’s a positive answer. I cant help with the Fractions caz I’m not good at them lol .

Answer:

k = 5

Step-by-step explanation:

First, add 3 to both sides;

[tex]7k = 35[/tex]

Divide by 7:

[tex]\frac{7}{7}k = \frac{35}{7}\\k = 5[/tex]

Now, let's check our answer:

[tex]7(5) - 3 = 32\\35 - 3 = 32\\32 = 32[/tex]

I hope this helps!!

If you have any questions feel free to ask!

- Kay :)

14x+14=20x-20

-6x=-34

x=34/6=-17/3

D: -17/3​

Answer:

D

Step-by-step explanation:

x+1/x-1=14/20

so 20(x+1)=14(x-1)

20x+20=14x-14

20x-14x= -14-20

6x=-34

so x=-17/3

Answer:

tel:+18446450594

Step-by-step explanation:

Answer:

.16 or 4/25

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

[tex]\frac{4}{5}[/tex]×[tex]\frac{1}{5}[/tex]

multiply tops together and denominators together and get [tex]\frac{4}{25}[/tex]

Answer:

The 95%  confidence interval is

           [tex] 5.92  <   \mu  <  7.284 [/tex]

Step-by-step explanation:

From the question we are told that

  The data is  6.5   6.7    7.2    6.4    7.3

Generally the sample  mean is mathematically represented as

         [tex]\= x = \frac{\sum x }{n}[/tex]

=>      [tex]\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}[/tex]

=>      [tex]\= x = 6.6[/tex]

Generally the standard deviation is mathematically represented as

         [tex]\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }[/tex]

=>      [tex]\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }[/tex]

=>      [tex]\sigma = 0.6512[/tex]

Gnerally the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]

=>       [tex]df = 6 -1[/tex]

=>       [tex]df = 5[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]t_{\frac{\alpha }{2} , 5 } = 2.571 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2}, 5  } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E =  2.571  *  \frac{0.6512}{\sqrt{6} }[/tex]

=>    [tex]E = 0.6835 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x  -E <   \mu  <  \= x  +E[/tex]

=>     [tex]6.6  - 0.6835 <   \mu  <  6.6  +  0.6835[/tex]

=>     [tex] 5.92  <   \mu  <  7.284 [/tex]

Answer:94,

Step-by-step explanation:

Answer:

Cos²(45°—A) + cos²(45°+A)

= [2 cos²(45°—A) + 2 cos²(45°+A)] /2

= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2

= [cos2(45°—A)+cos2(45°+A)+2]/2

= [cos(90°—2A)+cos(90°+2A)+2]/2

= (sin2A—sin2A+2)/2

= 2/2

= 1

Answer:

16.65$

Step-by-step explanation:

Answer:

16.65

Step-by-step explanation: