When Emily commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 25 minutes and a standard deviation of 2.5 minutes. Out of the 203 days that Emily commutes to work per year, how many times would her cornmute be shorter than 21 minutes, to the nearest whole number?​

Answer:

(-4, 2)

Step-by-step explanation:

5x + 15y = 10 ---› Eqn. 1

5x - 10y = -40 ---› Eqn. 2

Subtract the eqn 2 from 1 to eliminate the x variable

Thus:

25y = 50

Divide both sides by 25

y = 50/25

y = 2

Substitute y = 2 into eqn 1.

5x + 15y = 10 ---› Eqn. 1

5x + 15(2) = 10

5x + 30 = 10

Subtract 30 from each side

5x = 10 - 30

5x = -20

Divide both sides by 5

5x/5 = -20/5

x = -4

Solution would therefore be (-4, 2)

Answer:

x = 54°

Step-by-step explanation:

(5-2)·180° = 540°, which is the total amount of degrees inside a pentagon

if it's regular then each angle is equal so m∡B = 540/5 or 108°

∠DBC ≅ ∠CDB because ΔCBD is isosceles

half of 108 is 54°

Answer:

[ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]

option c). is correct.

Step-by-step explanation:

( x + 1 ) / ( x + 2 ) + ( x - 1 ) / ( x - 3 )

= > [ ( x + 1 ) ( x - 3 ) + ( x - 1 ) ( x + 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]

= > [ ( x^2 - 3 x + x - 3 + x^2 + 2 x - x - 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]

= > [ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]

Hence we get required answer!

Let n be the unknown number. We can write it as

n = 10a + b

with a and b integers between 1 and 9 (either with positive or negative sign).

Reversing the digits gives another number

m = 10b + a

The first number is increased by 54 when the digits are reversed, which means

m = n + 54   →   10b + a = 10a + b + 54   →   9b - 9a = 54   →   b - a = 6

The digit in the tens place of n is 3 times the digit in the ones place, so

a = 3b

Substitute this into the previous equation and solve for b :

b - a = b - 3b = -2b = 6   →   b = -3

Solve for a :

a = 3b = 3(-3) = -9

Then the original number is n = 10a + b = 10(-9) + (-3) = -93

Step-by-step explanation:

m<UZV = 180-108=72°

arc YVU = 180+72+85= 337°

diameter XV = 24 m

so, the length of arc YVU =

337/360 × π × D

= 0.94 × 3.14 × 24 m

= 70.84 meters

Answer:

70.58

Step-by-step explanation:

just did it. other dude's decimals are wrong.

Answer:

x = -96/55

Step-by-step explanation:

Given that 2x + (5 /3)x + 7 = 3/5

Firstly, we have to multiply through out the expression by the common denominator. We can see that the denominators are 3 and 5, hence the common denominator is 15. Multiplying through by 15 gives:

2x * 15 + (5 /3)x * 15 + 7 * 15 = (3/5) * 15

30x + 25x + 105 = 9

Collect like terms:

30x + 25x = 9 - 105

55x = -96

Dividing through by 55:

x = -96/55

Answer:

Step-by-step explanation:

The lines are making 90° with each other.

Correct choice is C

Answer:

2400 in^3

Step-by-step explanation:

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?

the capacity of the tank can be determined by calculating the volume of the tank

volume of a prism = length x width x height

20 x 10 x 12 = 2400 in^3

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✄----------------

Answer:

36 degrees for each angle.

Step-by-step explanation:

If you divide 180 by 5 (for each point in the star) you get 36 degrees.

Answer:

no I'm going to school and I'm going into 10th

Answer:

5000

Step-by-step explanation:

100 × 50

5000

Answer:

f(5) = 2

Step-by-step explanation:

it says to use the function (-x+3) for when x is bigger than 2

f(x) = (-x) + 3 replace x with 5

f(5) = (-5) + 3 and f(5) = 2

Answer:

[tex]f(5)=-2[/tex]

Step-by-step explanation:

In piecewise functions, we need to find the applicable equation to use based on our value of [tex]x[/tex]. [tex]f(5)[/tex] denotes [tex]x[/tex] as 5. Since [tex]5>2[/tex], we will use the equation that corresponds to [tex]x>2[/tex], which is [tex]-x+3[/tex].

Substituting [tex]x=5[/tex], we have:

[tex]x=-(5)+3,\\x=-5+3,\\x=\boxed{-2}[/tex]

Answer:

c

Step-by-step explanation:

A shows a reflection

B shows a translation

C shows the rotation

Answer:

C

Step-by-step explanation:

Because you can tell that it moved to the left once

Answer:

4 more than the product of 9 and a number is 36. /// 9n + 4 = 36

9 times the sum of a number and 4 is 36. /// 9(n + 4) = 36

4 times the sum of a number and 9 is 36. /// 4(n + 9) = 36

9 subtracted from the product of 4 and a number is 36. /// 4n - 9 = 36

Answer:

1, 8, 27, 64, 125, 216, 343, 512, ... 1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, ...

Step-by-step explanation:

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist

Answer:

Step-by-step explanation:

15

Answer: the missing y-value is 7

Step-by-step explanation: look at the image for the steps for the problem

Answer:

the true statement is D. sin A = cos C

it's because,

statements A and B do not match and as for statement C, angle B is not included in trigonometric ratios

Answer:

140

Step-by-step explanation:

sorry if wrong!

Answer:

21

Step-by-step explanation:

Step 1: add 2 to 5

=> 2 + 5

=> 7

Step 2: Multiply the result by 3:

=> 7 * 3

=> 21

Therefore the final answer = 21

Hope this helps!

Answer:

120.96

Hope this helps!!!

Sorry if i'm wrong

Answer:

2√3+2i

hope it helps

please mark Brainliest

Answer:

$77 x 15/100 = $11.55

Step-by-step explanation:

15 percent of 77 dollars is 11.55

Answer:

x=75°

Step-by-step explanation:

the triangle is an isosceles triangle (which you can tell since they show you that the two sides are congruent)

so this means that the base angles are congruent

so, x=75°

Answer:

Step-by-step explanation: