Point P is in the interior of ∠NOQ. If m∠NOP = 37 and m∠NOQ = 123, what is m∠POQ?

Answer:

The value is  [tex]P(X \le 60 ) = 0.00135[/tex]  

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 90 \ minutes[/tex]

   The standard deviation is  [tex]\sigma = 10[/tex]

Generally  1 hours =  60  minutes

  Generally the probability that the exam will be completed in one hour or less is  

     [tex]P(X \le 60 ) = 1 - P(X > 60 )[/tex]

Here

     [tex]P(X > 60 ) = P( \frac{ X - \mu }{ \sigma } > \frac{ 60 - 90 }{ 10 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P(X > 60 ) = P( Z> -3 )[/tex]

From the z -distribution table the probability of  ( Z> -3  )

      [tex]P( Z> -3 ) = 0.99865[/tex]

[tex]P(X > 60 ) = 0.99865[/tex]

=>   [tex]P(X \le 60 ) = 1 - 0.99865[/tex]

=>   [tex]P(X \le 60 ) = 0.00135[/tex]  

Answer:

B

Step-by-step explanation:

subtract both sides by 2B and divide both sides by P to get h = S-2B / P

q^2 +16q+64

All you have to do is substitute the exponent two.

Q by itself is q squared: q^2

Q times 8 is 8q, and because of exponent you have to double it, which gives you 16q.

And 8 times itself is 64.

Hope this helps

Answer:

d

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

First, find the angle FCB by subtracting 70 and 41 from 180. You should get 69. Then, because it says AD paralell EG, you could use the transversal FC to locate some angles. Fortunately, GFC and FCB are opposite interior angles, meaning they are equal in angle measure.

Answer:

70.875

Step-by-step explanation:

Don't you have a calculator..?

Answer:

6

Step-by-step explanation:

5x6+6=6-12x2

collect like terms

5x6=6-6+12x2

5x6= +12x2

30=+24

collect like terms

30-24

=6

Answer:

f(x) = cos 2πx

Thus the fundamental period T = 1  

Step-by-step explanation:

From the information given:

The periodic function f(x + T) = f(x)   T ≠ 0  provided that  T is the smallest positive value  for which f(x + T) = f(x) holds, then T is called the fundamental period of f.

Now, for the given function f(x) = cos(2πx)

suppose T = 1/4 since T ≠ 0  

Then:

f(x+ 1/4) = cos(2π (x + 1/4) )

f(x+ 1/4) = cos (2πx + π/2)

f(x+ 1/4) = -sin 2πx        (Not satisfied)

suppose T = 1/2 since T ≠ 0  

Then:

f(x+ 1/2) = cos(2π (x + 1/2) )

f(x+ 1/2) = cos (2πx + π)

f(x+ 1/2) = -cos 2πx        (Not satisfied)

suppose T = 1 since T ≠ 0  

Then:

f(x+ 1) = cos(2π (x + 1) )

f(x+ 1) = cos (2πx + 2π)

f(x+ 1) = cos 2πx      

f(x+ 1) =  f(x)

f(x) = cos 2πx      

Therefore, the fundamental period T = 1  since  f(x) = cos 2πx  

Answer:

b>13

Step-by-step explanation:

Answer:

5-b<18 : [solution: b>-13]

             [interval notation:   (-13, \infinity/)

Step-by-step explanation:

Answer:

m /_PTS = 55°

Step-by-step explanation:

Just took the quiz..

The measure of angle m∠PTS from the given figure is 55°.

From the given figure, the two angles are 11(y-10)° and (4y-5)°.

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

Now, 11(y-10)° = (4y-5)°

⇒ 11y-110 = 4y-5

⇒ 11y-4y = -5+110

⇒ 7y = 105

⇒ y = 15

So, m∠PTS = 11(15-10)

= 55°

Therefore, the measure of angle m∠PTS from the given figure is 55°.

To learn more about the vertical angle theorem visit:

brainly.com/question/8119520.

#SPJ2

Answer:

Flow rate is 2 people per minute

Step-by-step explanation:

The computation of the number of people stepping into the roller coaster is shown below:

Here we use the little law

As we know that

Inventory or number of jobs = throughput or flow rate × flow time

20 = throughput or flow rate × 10

Therefore

Flow rate is 2 people per minute

We simply applied the above formula

Answer:

1114 sodas

Step-by-step explanation:

If you simplify 8:4, you will get 2:1. Given that information, since there are twice as many diet sodas as regular sodas, all you have to do is divide 776 by 2. You should get 338. All you have to do now is add 776 and 338 to get 1114.

Answer:

$1.06 to thousendth is the tax

Step-by-step explanation:

13.30*2/25=Your answer

Answer:

Step-by-step explanation:

If the acres of forest available for logging will increase at a rate given by

R(t) = 56/√t + 7

In order to determine the acre of forest that become available after 5 years, we will substitute t = 5 into the formula.

R(5) = 56/√5 + 7

R(5) = 56/2.236 + 7

R(5) = 25.044 + 7

R(5) =  32.044

The amount that will be available over the first five years is 32 thousand acres

Answer:

200 calories

Step-by-step explanation:

360 ÷ 9 = 40

40 X 5 = 200

Answer:

there are 200 calories in 5 bags of chips

Step-by-step explanation:

divide 360÷9=40 and then multiply 40 times five equ3ald 200

Answer:

es de ingles matt verdad

A.

<A = <Z (both have 2 lines)

<B = <X (both have one line)

<C = <Y (both have 3 lines)

B.

AB = XZ (both have 3 markings)

AC = ZY (both have 1 marking)

BC = XY (both have 2 markings)

Answer:

−8

Step-by-step explanation:

=−16+(4)(2)

=−16+8

=−8

Answer:

Yes

Step-by-step explanation:

If you convert these numbers to push ups per minute, It gives you the same amount per minute.

Answer:

Step-by-step explanation:

Since, Victor takes 5 minutes to cover number of laps = 3

Relation between the time (t) and number of laps (l) covered shows a proportional relationship.

l ∝ t

l = kt

k = [tex]\frac{l}{t}[/tex]

where k = proportionality constant

For t = 5 minutes and l = 3 laps,

k = [tex]\frac{3}{5}[/tex] = 0.6

Therefore, equation will be,

l = 0.6t

For t = 1 min,

l = 0.6 laps

For l = [tex]1\frac{1}{5}[/tex] ≈ 1.2 laps

1.2 = 0.6t

t = 2

For t = 6 min,

l = 0.6(6)

l = 3.6 laps

Therefore, table will be,

Laps              0.6        [tex]1\frac{1}{5}[/tex]         3.6          

Time (min)      1            2           6

Answer:

14

Step-by-step explanation:

Answer:

3,952,512

Step-by-step explanation:

the call lasted 16 minutes

Answer:

128calories/cup

256calories

Step-by-step explanation:

Given parameters:

   Amount of calories  = 96calories

   Number of cups  = [tex]\frac{3}{4}[/tex]cups

Unknown:

Unit rate(calories per cup) = ?

Number of calories in 2 cups  = ?

Solution:

A. To find the unit rate;

       Unit rate  = [tex]\frac{amount of calories}{number of cups}[/tex]

 Insert the parameters and solve;

       Unit rate  = [tex]\frac{96}{\frac{3}{4} }[/tex]  

       Unit rate = 96 x [tex]\frac{4}{3}[/tex]   = 128calories/cup

B. Number of calories in 2 cups;

          Amount of calories = unit rate x number of cups

            Amount of calories  =  128calories/cup x 2cups

            Amount of calories  = 256calories

Answer:

With the largest denominator which is 12

Step-by-step explanation: