Homework 1: Parallel Lines & Transversal

Answer:

−1  ≤  x  <  3

Step-by-step explanation:

Solve the system of inequalities.

X must be equal to or greater then -1 and smaller then 3.

You options are -1, 0, 1, & 2

Answer:

Present-day cells evolved from a common prokaryotic ancestor along three lines of descent, giving rise to archaebacteria, eubacteria, and eukaryotes.

Changed the composition of the oceans. Most of the iron was precipitated out by early life.

Changed the composition of the atmosphere.  Oxygen became available in abundance.

Answer:

Let b = profit on a blue car

w = profit on a white car

r = profit on a red car

b = w + 10 (1)

r = w - 7 (2)

2r = b -2

2r-b= -2 (3)

Subtract eq. (2) by 2q. (1)

r - b = 0 - 7 - 10

r - b = -17 (4)

Subtract eq. (3) by eq. (4)

r - 0 = -2 - (-17)

r = 15

in eq (2)

r = w - 7

15 = w - 7

w = 22

in eq (1)

b = w + 10

b = 22 + 10

b = 32

The profit on a blue car is $32

Step-by-step explanation:

THE ANSWER IS 32

Answer:

The profit on a blue car is $32

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

If the equation is T-7p=150, and 1550 tickets are sold, T would be equal to 1550. So the equation becomes 1550-7p=150. Add 150 to both sides to get 1400-7p=0. then add 7p to both sides to get 1400=7p. Divide by 7 to get 200=p

Answer:

im having the same problem

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

The probability density function of lifetime in months of a transistor in a certain application is:

[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]

The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.

(a)

Compute the mean lifetime as follows:

[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]

Thus, the mean lifetime is 2.5 months.

(b)

Compute the standard deviation of the lifetimes as follows:

[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]

Thus, the standard deviation of the lifetimes is 2.5 months.

(c)

The cumulative distribution function of the lifetime is:

[tex]CDF=1-e^{-0.40x}[/tex]

(d)

Compute the probability that the lifetime will be less than 6 months as follows:

[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]

               [tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]

Thus, the probability that the lifetime will be less than 6 months is 0.9093.

(e)

Compute the 60th percentile of the lifetime as follows:

[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]

Thus, the 60th percentile of the lifetime is 2.3 months.

Answer:

B.

Step-by-step explanation:

divide the 2nd term to 1st term of sequence

Answer:

4/6=0.67  1/3=0.3

Step-by-step explanation:

Answer:

x= < (y+9+7x)/7>

Step-by-step explanation:

first, add 9 to both sides of the equation. Then, subtract 7z on both sides and after that, divide by 7 for both sides.

Answer:

x=y+7z+9/7

Step-by-step explanation:

Answer:

$1.25

Step-by-step explanation:

10-2.50=7.5

7.5/6=1.25

hope this helps :3

Answer: $1.25

Step-by-step explanation:

10-total

(1 notebook)-2.50, 6 pens

10-2.50=7.50

7.50/6(pens)=1.25

Answer:

4 to 1

Step-by-step explanation:

4x4=16

4x1=4

Answer:

The answer is d.) 4 to 1

Answer: exact form: y= -23/4

Step-by-step explanation: move all the terms that doesn’t contain “y” to the right side and solve.

Answer:

y=  1/4 x - 6

Step-by-step explanation:

Answer:

The decimal form of 13/3 is a rational number. and decimals are rational

Answer:

(+) 3

Step-by-step explanation:

-3 -(-6)

Double negative = positive

-3 + 6

3

Answer:

It is an overestimate.

Step-by-step explanation:

If you round 5 to the nearest 10, you get ten. If you round 11.45, to the nearest ten, you also get 10. Your estimate is 100. Your real answer is 57.25.

Answer:

The answer is 10

Step-by-step explanation:

you would the Pythagorean theorem, which is: A squared plus B squared equals C squared. C is always the longer side, also known as the hypotenuse and A and B ae the legs, or the two shorter sides.

Answer:

x = 10

Step-by-step explanation:

8^2+ 6^2 = c^2

64 + 36 = 100

Then square root 100

so x=10

Answer: g

( 2x+6) = 4x^2+26x+44

Step-by-step explanation: Set up the composite function and evaluate. Hope this helps! :)

Answer:

50.6

Step-by-step explanation:

46*.1=4.6

46+4.6=50.6

Answer: 11!

Step-by-step explanation:

27 is 2.7 times 10 and 2.7 is 27 ÷ 10

Answer: 217

Step 1: Multiply 6 by 36. (PEMDAS)

6 x 36 = 216

Step 2: Add 1. (PEMDAS)

216 + 1 = 217

Answer = 217

Answer:

217 is the answer hope this helps

Answer:

11.75 cm

Step-by-step explanation:

sin50° = [tex]\frac{9.0cm}{v}[/tex]

[tex]v=\frac{9.0cm}{sin50} = 11.75 cm[/tex]

Answer:

23.9

Step-by-step explanation:

(75 - 32) x 5/9 = 23.888888888888888888

Answer:

20

Step-by-step explanation:

Since 0.454 kg = 1 pound,

         0.5675 kg = [tex]\frac{0.5675}{0.454}[/tex] pound = 1.25 pounds= (1.25 * 16) ounces = 20 (ounces)

Answer:

0.5675

Step-by-step explanation:

16/0.454 = x/0.5675...16 oz to 0.454 kg = x oz to 0.5675 kg

cross multiply

0.454x = 16(0.5675)

0.454x = 9.08

x = 9.08/0.454

x = 20.....20 oz are in 0.5675 kg

Answer:

48 inches

Step-by-step explanation:

Given:

A square and an equilateral triangle have the same perimeter

Each side of the triangle is 4 inches longer than each side of the square.

What to find:

What is the perimeter of the square =?

Solution:

Let the side of the square be  

Then the side of the triangle will be  

The Perimeter of square = Perimeter of an equilateral triangle

=  

Subtracting both sides by  

side of the square,  = 12 inches

side of triangle will be , 12 + 4 = 16 inches

Now, the perimeter of the square =  

Therefore, the perimeter of the square is 48 inches.

and your pfp is so cute!!

Answer:

40080g

Step-by-step explanation:

hope it helps

Answer:

40,080 grams

Step-by-step explanation:

kilograms to grams is always times 1,000 so 40.08 x 1,000 moves the decimal over 3 times for the three 0s. this gets you your answer: 40,080.

hope this helps :))

7 Expand and simplify where necessary

a 3(4p + 1)

b -6(3T + 5)

ç 4(3x – 2y) + 4(x + 4y)

d 7(2m - 3) - 9(y - 1)

Summary

pretty simple dont suck

Answer:

$4,970

Step-by-step explanation: