Identify the axis of symmetry of the parabola.

Answer:

P = 2l + 2w

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:

Step-by-step explanation:

Light travels as a wave. But unlike sound waves or water waves, it does not need any matter or material to carry its energy along. This means that light can travel through a vacuum—a completely airless space. ... It speeds through the vacuum of space at 186,400 miles (300,000 km) per second.

Answer:

Step-by-step explanation:

step 1:  0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75d = 5.25d

It's correct answer

Answer: 1,014

Step-by-step explanation: 412+265=677     677+337=1,014

Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

The measure of the angle B is 74 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.

If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.

The angle sum property of a triangle;

80 + 26 + B = 180

B = 180 - 106

B = 74

Therefore, the size and shape of the triangle wouldn't change.

The triangle A'B'C' will still have the same size and shape, and all the sides will have the same length.

Hence, the measure of the angle B is 74 degrees.

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Answer:

x<2

Step-by-step explanation:

Answer: {2, -9}

Step-by-step explanation: Think of these two binomials, x -2 and x + 9,

as two numbers that are multiplying together to equal zero.

In order for two numbers to multiply together to equal zero,

either one number or the other number must equal zero.

So for two binomials to multiply together to equal zero,

either one binomial or the other binomial must equal zero.

So we can split this problem up into two parts.

If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.

On the left, add 2 to both sides and we have x = 2.

On the right, subtract 9 from both sides and we have x = -9.

For our final answer we use set notation.

So our answer is {2, -9}.

Answer:

2 and -9

Step-by-step explanation:

x-2=0

x=2

x+9=0

x=-9

Answer:

Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.

The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.

Answer: 15

Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.

Answer: 10,000

Step-by-step explanation:Hope this helps!

Answer:

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

Step-by-step explanation:

Answer:

B. 1  9/10 (19/10)

Step-by-step explanation:

3 4/5 is equal to 19/5

We would need to divide 19/5 by 2

Make 2 a fraction. 2/1

Flip the number: 1/2

Multiply 19/5 by 1/2

19/10

Simplify.

1  9/10

Hope I helped :)

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Answer:

12 : 8, 18 : 12, 24 : 16, 30 : 20

Step-by-step explanation:

These are the four after 6:4. I didn't know which you needed.

Answer:

3:2

Step-by-step explanation:

If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.

6/2=3

4/2=2

The ratio is now simplified/equivalent to 3:2.

I hope this helps...have an amazing day c:

Answer:

4 and 7

Step-by-step explanation:

Answer:

4<x<7

Step-by-step explanation:

10<2x+2<16        First, we can subtract 2 on all three sides.

-2       -2   -2

8<2x<14             Divide by 2 on both sides.

/2 /2   /2

4<x<7

Hope this helped you out!!! Be more positive about yourself...I promise it will help...and if you ever need help, just ask! Have a wonderful day :3

Answer:

4

Step-by-step explanation:

Answer:

She missed 4 questions

Step-by-step explanation:

4/5=8/10=16/20

Answer:

The answer is A) 1/8^2

Step-by-step explanation:

Both of the equations simplified equal 1/64.

Answer:

Divide both sides by V

Step-by-step explanation:

The equation is not well written.

Mariko needs to solve the equation below for D. Here is the equation:

M = DV

For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;

Divide both sides by V

M/V = DV/V

V at the denominator will cancel out the V at the numerator to have:

M/V = D

Rearrange

D = M/V

Therefore, the statement which correctly describes the step he should take is:

Divide both sides by V. Option B is correct.

Answer:

x=21

Step-by-step explanation:

supplementary angles add up to 180°

7x-3+2x-6=180

collect like terms

9x-9=180

add 9 to both sides

9x=189

divide both sides by 9

x=21

Answer:

the answer is x= 10

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

9 goes into 72 eight times, nine goes into 0 zero times

The complete statement is as follows:

The quotient of, 7200/9 = 800.

Quotient is the result which we get by dividing the one number by the other.

Where, the number which is getting divided is known as 'dividend'  and the number which divides the dividend is known as 'divisor'.

So,

Quotient = Dividend ÷ Divisor.

Or,

[tex]\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}[/tex]

In 7200÷9, 7200 is dividend and 9 is divisor. We have to find the quotient.

Applying the division on 7200 by 9.

Since, 9 is very less than 72. Take the first 2 digits.

72÷9 = 8

There is no remainder.

Now, take three digits:

720÷9 = 80

Still no remainder is here.

Move to the last digit (0) and apply division.

7200÷9 = 800

No remainder is there.

That means the quotient of, 7200 divided by 9 is 800.

Hence, the quotient of 7200/9 = 800.

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Answer:

there are no signs between the x and y and constant

it could be

2x+5y=15

2x+5y=-15

-2x+5y=15

2x-5y=15

for ax+by=c, the equation of a line paralell to that is

ax+by=d where a=a, b=b, and c and d are constants

(for this answer, I'm going to use 2x+5y=15)

given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d

to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant

2x+5y=d

2(4)+5(-2)=d

8-10=d

-2=d

the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15

pls mark me brainlest

Answer:

2x+ 5y= -2

Step-by-step explanation:

9514 1404 393

Answer:

  16.05 cm

Step-by-step explanation:

Each bracelet will be 1/5 of 1/2 of the chain, so is

  (1/5)(1/2) = 1/10

of the original length of the chain.

  1/10 × 160.5 cm = 16.05 cm . . . length of each bracelet

Answer:

Option (d)

Step-by-step explanation:

If the current salary of Sione is represented by the function m(t - 1),

Next year his salary m(t) gets hike of 3%.

So, the next year salary of Sione will be represented by,

m(t) = m(t - 1) + 3% of m(t - 1)

      = m(t - 1) + 0.03 × m(t - 1)

      = m(t - 1)(1 + 0.03)

      = 1.03m(t - 1)

Since, at the end of year 1 his salary was $55000,

Recursive function will be,

m(t) = 1.03m(t - 1) = 55000

Therefore, Option (d) will be the answer.

Answer: 15 16 17

Step-by-step explanation: Add them together and you should get 48

Answer:

Step-by-step explanation:

It would be 2.

8/4=2

10^(4-4)=10^0 or 1

2*1=2