A market research company employs a large number of typists to enter data into a computer. The time taken for new typists to learn the computer system is known to have a normal distribution with a mean of 90 minutes and a standard deviation of 18 minutes. The proportion of new typists that take at most two hours to learn the computer system is

Answer:

<B=24

Step-by-step explanation:

<B=x

<A=5(x+7.2)

x+5(x+7.2)=180

x+5x+36=180

6x=180-36

6x=144

x=24

Answer and Step-by-step explanation:

When two angles are supplementary, the add up to 180 degrees.

Measure of angle A is 5 times the sum of the measure of angle B + 7.2.

So, we have b, and we have a.

a + b = 180

a = 5(b + 7.2)

b = ?

We input 5(b + 7.2) for a into the equation.

5(b + 7.2) + b = 180

Now we distribute the 5 and combine like terms.

5b + 36 + b = 180

6b + 36 = 180

Subtract 36 from both sides, then divide both sides by 6 to get b.

6b = 144

b = 24

The measure of angle B is 24 degrees.

#teamtrees #PAW (Plant And Water)

Answer:

...... .................

Answer:

(x,y) ---→ ( x + 3 , y + 1 )

Step-by-step explanation:

Hello There!

All we have to do is pick one letter and count the units from the preimage to the translated image

To get to A' you have to from A and go up one unit to the right 3 units

So the translation is 1 unit up 3 units to the right or (x,y) ---→ ( x + 3 , y + 1 )

Answer:

x = -7

Step-by-step explanation:

4x - 2 = 3(x - 3)

use the distributive property

4x - 2 = 3x - 9

    +9         +9

4x + 7 = 3x

-4x        -4x

7 = -1x

x = -7

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1} ) \\{ 3 }^{n + 2} + {3}^{n + 1} ({3}^{2} + 1) \\ {3}^{n + 2} + {3}^{n + 1} (9 + 1) \\ {3}^{n + 1} (3 + 10) \\ {3}^{n + 1} 30 \\ {3}^{n} \times 3 \times 30 = 90 \times {3}^{n}[/tex]

second one 13/313

Answer:

x=2

y=3

z=0

not 100% sure on those answers

Answer:

second option.

Step-by-step explanation:

I hope this helps you

y=10-8x

2(10-8x)-4x=40

20-16x-4x=40

-20x=20

x=-1

y=10-8(-1)=18

(-1,18)

Answer:

(-1, 18)

Step-by-step explanation:

(2y-4x=40)x2

4y-8x = 80

4y-8x+y+8x=80+10

5y = 90

y = 90/5

y = 18

Substituting y into the first equation:

18 + 8x = 10

8x =-8

x = -1

Answer:

HOLD ON ILL BE RIGHT BACK

Step-by-step explanation:

Answer:

☘️9+5x+16

☘️ 25+5x or 5(5+X)

Step-by-step explanation:

13 hours

6 + 4 + 3 = 13

correct if wrong

Answer:

4y + 4x - 4

4(y + x - 1)

Step-by-step explanation:

Brainliest plz

Answer:

4x+4y-4

Step-by-step explanation:

Lets simplify step by step:

5y - 8x - 7- y + 12 x + 3 = 5y +-8x +-7 + -y + 12x + 3

Now let’s combine the like terms:

5y +-8x +-7 + -y + 12x + 3

(-8x + 12x) + (5y + -y) + (-7 + 3)

So the answer would be 4x+4y-4

Hope this helps :)

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

Answer:

sorry dude I really want to help but it's pretty hard and I don't

know

Step-by-step explanation:

Answer:

yes

of you plus 213+55=268

then divide it 268÷4

there you will get the final answer

Answer: answer is (B. Yes. Dividing the total cost by 4 is the same as multiplying by 1/4

Step-by-step explanation:

because when there is a fraction you flip it upside down and multiply and you get a similar  

        hope that helped please can you mark me as brainless pls tysm

Answer:

Let me know if there is anything you don't get

∠3 = 102 because ∠1 and ∠3 are supplementary and 102 + 78 = 180

∠4 = 102 because ∠1 and ∠4 are consecutive interior angles

∠5 = 78 because ∠1 and ∠5 are corresponding angles

∠6 = 133 because ∠2 and ∠6 are supplementary angles

∠7 = 47 because ∠2 and ∠7 are vertical angles

∠8 = 47 because ∠2 and ∠8 are opposite interior angles

∠9 = 133 because ∠8 and ∠9 are supplementary, and we just saw ∠2=∠8

∠10 = 102 because ∠1 and ∠10 are supplementary

You could have used a whole bunch of different relations, but I wanted to focus on ∠1 and ∠2 since those were told to us

Step-by-step explanation:

For this question you need to know several parts of geometry.  Let me know if anything doesn't make sense.

First, parallel lines are two or more lines which are angles in such a way that no matter how long they are they will not cross.  In other words they are slanted at the same angle.  you can see this with lines a and b in this picture.

Second, a transversal is a line that crosses through two or more parallel lines.  A transversal creates a number of angles that have special properties.  I would like you to look specifically at line c as I describe these angles.  line c is a transversal to Ines a and b.  Also line d is also a transversal.

There are seven special angles to know.

The easiest is supplementary angles.  This you don't need parallel lines, but if any two lines ever cross this creates 4 angles.  you can actually look at where lines c and b intersect in your problem.  Angles 2. 6 and 7 are labeled but there is one more unlabeled one.  Now, 180 degrees is a straight line.  With angles you can see angles 6 and 7 add together to be a straight line.  Similarly 2 and 6 do as well.  These are two sets of supplementary angles.  

To list off the supplementary angles here 9 and 8 are supplementary, as are  2 and 6, 6 and 7, 1 and 3, 1 and 10, and finally 4 and 5.

From supplementary angles comes vertical angles.  Again, if you look at angles 2, 6 and 7 we already know ∠2 + ∠6 = 180 and ∠6 + ∠7 = 180.  Well lets say ∠6 = 133.  Well then, we could use algebra to see that both ∠2 AND ∠7 are 47 degrees.  This is the property of vertical angles.  if you have two lines intersecting, any two angles that have a third in between the are called vertical angles, and are equal.

some examples of vertical angles are ∠2 and ∠7as well as ∠3 and ∠10,  

Finally we go into parallel line specific angles.  If you have two or more parallel lines with a transversal, so in particular look at a and b as the parallel lines and c as the transversal.  The transversal creates some special angles.  in particular, the transversal crosses a and b at the same angle, so angles 8 and 7 have the same value.  These are known as corresponding angles, since they correspond tot he same position with a transversal crossing through parallel lines.  

the corresponding angles in the picture are ∠8 and ∠7, ∠3 and ∠4 and finally ∠1 and ∠5.  the last two using line d as a transversal.

After corresponding angles opposite interior angles I think are the next logically to look at.  Opposite means they are on two different parallel lines and on different sides of the transversal, while interior means they are between the parallel lines.  so if you look at the parallel lines a and b there are angles 8 and 2 that are interior angles.  Since 8 is against line a and 2 is against line b, and ∠8 is above transversal c while ∠2 is below it, they are opposite angles.  so 8 and 2 are opposite interior angles.  Now, if you look at ∠8 and ∠7 you know these are corresponding angles, then ∠7 and ∠2 are vertical angles.  This means opposite interior angles are equal.

A list of opposite interior angles are ∠8 and ∠2, and ∠10 and ∠4.

Alongside opposite interior, there are opposite exterior angles.  opposite means on different parallel Ines and on opposite sides of the transversal, while this time exterior means not between the parallel lines.  Now just like we figured with opposite interior angles

The only labeled pair of opposite exterior angles are ∠9 and ∠6.  Now just like we figured with opposite interior angles, let's start with ∠8 and ∠9, which are supplementary.  then ∠8 and ∠7 are corresponding angles so ∠9 and ∠7 are supplementary.  We can also see ∠7 and ∠6 are supplementary.  well, since ∠9 + ∠7 = 180 = ∠6 + ∠7 then ∠9 = 180 - ∠7 = ∠6 so ∠9 = ∠6.  This shows opposite exterior angles are  equal.

So we did two kinds of opposite angles, it might make sense there are non opposite angles.  And there are.  these are called consecutive angles.  There are consecutive exterior and consecutive interior angles.  An example of each are ∠1 and ∠4 for consecutive interior, consecutive because they are on the same side of the transversal, and interior because they are between the two parallel lines.  ∠3 and ∠5 are consecutive exterior angles.

You can use similar reasoning we have been so far to conclude all consecutive angles are supplementary

Answer:

DONT PRESS THAT LINK

Step-by-step explanation:

Answer:

it is A.2/3

Step-by-step explanation:

Answer:

11.7947881

depends now how you wanna round it

Step-by-step explanation:

tan(25)=5.5/x

x=5.5/tan(25)

x=11.7947881

this is how we round it in my school

x≈11.8

Answer:

go0gle, just look it up

Step-by-step explanation:

Answer: [tex]37000+2500n[/tex]

Step-by-step explanation:

Given

John makes $82,000 per year after 18 years

If he would have to get a raise of $2500 per year

Suppose he starts with a salary of [tex]x[/tex]

after the first year, his salary would be

[tex]\Rightarrow x+2500[/tex]

After 2 years, the salary would be

[tex]\Rightarrow x+2500+2500=x+2\times 2500[/tex]

Similarly, after n years salary is

[tex]\Rightarrow x+2500n[/tex]

For 18 years, it is

[tex]\Rightarrow x+2500\times 18=82,000\\\Rightarrow c=82,000-45,000=\$\ 37,000[/tex]

So, after n years of working salary is [tex]37,000+2500n[/tex]

Answer:

C

Step-by-step explanation:

the answer is C because the 2 angles are congruent, making it the same degree

hope this helps :)

Answer:

160

Step-by-step explanation:

y is the same shape and degree is 1 60 on the other side please mark brainliest

Answer:

[tex]2[/tex][tex]z^{3}[/tex][tex]\sqrt{14z}[/tex]

Step-by-step explanation:

The simplified form of  √56z⁷  is 2z³√(14z⁴ ) in the given question.

To simplify √56z⁷, we can break down the number 56 into its prime factors and remove any perfect square factors from inside the square root.

When simplifying a square root expression, removing perfect square factors from inside the square root helps simplify the expression further. This is because the square root of a perfect square is a whole number.

First, let's factorize 56:

56 = 2 * 2 * 2 * 7

Since 2 is a perfect square, we can remove it from inside the square root:

√56z⁷  = √(2 * 2 * 2 * 7 * z⁷ )

Simplifying further:

√56z⁷ = 2z³√(2 * 7 * z)

Therefore, the simplified form of √56z⁷  is 2z³ √(14z⁴ ).

To know more about  "squares."  here

https://brainly.com/question/27307830

#SPJ2

Answer:

f(-1) = 3/2

Step-by-step explanation:

y = 3(2)^-1

2^-1 = 1/2^1

1/2^1 = 1/2

3 x 1/2 = 3/2

Answer:

34.30

Step-by-step explanation:

$14.70 is 30% of $49 so

The total would be $34.30 after the discount

But the discount is %14.70

Answer:

area=10.15 cm

Step-by-step explanation:

a=h*b/2

a= 2.9*7/2

a= 10.15

Answer:

11.4

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]