Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding miles/hour. The records show that exactly of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

For point a:

[tex]\to fx_1(x_1)=\int^{x_{1}}_{0} f(x_1,x_2)\ dx\\\\[/tex]

[tex]=\int^{x_{1}}_{0} e^{-x_1}\ dx_2\\\\= e^{-x_1} \ [x_2]^{x_1}_0 \\\\\therefore f x_1(x_1)=x_1e^{-x_1}; \ \ x_1>0\\\\[/tex]

For point b:

[tex]\to f(x_2|x_1)=\frac{f(x_1,x_2)}{f(x_1)}\ =\frac{e^{-x_1}}{x_1\ e^{-x_1}}=\frac{1}{x_1} ; \\\\ \ \ 0\leq x_2 \leq x_1 \\\\[/tex]

For point c:

[tex]P(x_1>2|x_2=7)= 1.00 \\\\\because x_2=7\to x_1>7\to x_1>2\\\\[/tex]

Answer:

6+5=11

Step-by-step explanation:

6 is added to 5

i am sorry if i am wrong

Answer:

4.6005 * 10^6 grams

Step-by-step explanation:

Average mass of sand grain = 1.5 * 10^-5 grams

Number of grains in Erin's sandbox = 3.067 * 10^11 grains

To obtain the mass of sand in Erin's grain box :

We multiply the mass per sand grain and the number of grains

(1.5 * 10^-5) * (3.067 * 10^11)

1.5 * 3.067 = 4.6005 * (10^(-5+11))

4.6005 * 10^6 grams

Answer:

w=2

Step-by-step explanation:

See image below:)

Answer:

w = 1/2 or w = 3/6

Step-by-step explanation:

5(w-2) + 10 = 2w + 6

5(w-2) + 10 = 5w + 10 - 10 = 5w (the 5 outside of the bracket multiplies with the digits inside, including the w)

Now you have :   5w = 2w+6

Transfer the 2w to the left side, which would make it negative, therefore

5w - 2w= 6

3w = 6

w = 3/6

or

w = 1/2 (simplified)

B. [tex](x - 5)(x - 1)[/tex] ✅

Step-by-step explanation:

[tex] {x}^{2} - 6x + 5 \\ \\ = \:{x}^{2} - 5x - x + 5 [/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] =\: x(x - 5) - 1(x - 5)[/tex]

Taking the factor [tex](x-5)[/tex] as common,

[tex]=\:(x - 5)(x - 1)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

An exponential equation can be used to model the data in the table below.

The correct option is A.

Mathematical functions with exponents include exponential functions. f(x) = abˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

x = 0   1  2  3

y = 2  6  18  54

From the above data points:

The common ratio of the function,

6/2 = 3

18/6 = 3

54/18 = 3

Therefore, the function is exponential.

To learn more about the exponential:

https://brainly.com/question/14344314

#SPJ1

Answer:

D) the interest rate

Step-by-step explanation:

The formula for continuously compounded interest is [tex]A(t)=Pe^{rt[/tex] where [tex]P[/tex] is the principal/initial value, [tex]r[/tex] is the interest rate in decimal form, and [tex]t[/tex] is the amount of time since the initial investment. In this case, [tex]r=0.035[/tex] would be an annual interest rate of 3.5% per year.

Answer:

the first term is 4

Answer:

The answers are given below.

Step-by-step explanation:

The computation is shown below:

1.a.

Profit Margin = Net Income ÷ Sales × 100

= $374 ÷ $6,900 ×100

= 5.4%

1-b:

Average Assets = (Beginning Assets + Ending Assets) ÷ 2

= ($3,200 + $3,600)  ÷ 2

= $3,400

Now  

Return on Assets = Net Income ÷ Average Assets

= $374 ÷ $3,400

= 11%

1-c

Average Equity = ($700 + $700 + $320 + $270) ÷ 2

= $995

Now  

Return on Equity = Net Income ÷  Average Equity *100

= $374 ÷ $995

= 37.59%

2:

Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings

= $270 + $374 - $320

= $324

Answer:

Yup! There are 6 possible 0s, 4 actual 0s, and the factored form is -2x^5-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

P=2(w)+2(l)

34=2(6.5)+2(l)

34=13+2(l)

21=2(l)

10.5=l

Answer:

28 square centimeters

Step-by-step explanation:

The area of a trapezoid (formula):

(a + b) ÷ 2 x h

Where a & b are the bases, and h is height.

Use formula with given measurements:

(9 + 5) ÷ 2 x 4 = 28

Area is measured in square centimeters

(centimeters in this case)

Therefore the area if the trapezoid is 28 cm^2

I really hope this helps!

9514 1404 393

Answer:

  6872 cubic feet

Step-by-step explanation:

The volume of the conical bucket is ...

  V = 1/3πr²h

  V = 1/3π(15/2 in)²(20 in) = 375π in³

There are 60 minutes in 1 hour, so 3×60 = 180 minutes in 3 hours.

If each of 2 farmers can transfer 28 buckets per minute the total amount transferred is ...

  (375π in³)(180 min)(2 farmers)(28/min/farmer) = 3,780,000π in³

There are 1728 in³ in 1 ft³, so this is ...

  (3,780,000π/1728) ft³ = 2187.5π ft³, about 6872 cubic feet.

Answer:

[tex]q = 8[/tex]

[tex]r = 3[/tex]

Step-by-step explanation:

Given

[tex]n = dq + r[/tex]

[tex]0 \le r < d[/tex]

[tex]n = 67[/tex] --- not -67

[tex]d = 8[/tex]

Required

Find q and r

Substitute values for d and b

[tex]n = dq + r[/tex]

[tex]67 = 8 * q + r[/tex]

[tex]67 = 8q + r[/tex]

Make q the subject

[tex]q = \frac{67 - r}{8}[/tex]

[tex]0 \le r < d[/tex] means that r is less than 8 but greater than or equal to 0

And r and q are integers.

Let [tex]r = 3[/tex]

[tex]q = \frac{67 - 3}{8}[/tex]

[tex]q = \frac{64}{8}[/tex]

[tex]q = 8[/tex]

No other true values of r and q can be gotten.

Answer:

The projected population in 2026 is of 699.3 million.

Step-by-step explanation:

Population:

The population, in x years after 2000, is given by the follwing equation:

[tex]y - 4.55x = 581[/tex]

That is:

[tex]y(x) = 4.55x + 581[/tex]

What is projected population in 2026?

2026 - 2000 = 26, so this is y(26).

[tex]y(26) = 4.55(26) + 581 = 699.3[/tex]

The projected population in 2026 is of 699.3 million.

Answer:

The answer in standard form is 70.

Answer:

(7.3*10-9)+(1.5*10-9)

(73-9)+(15-9)

64+6=70

Step-by-step explanation:

Answer:

The first one

(I can't see it too properly but if the dot on -10 has a hole in it then this is the answer)

Answer:

Neither

Step-by-step explanation:

Answer:

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

or:

a multiplier or factor that measures some property.

Answer:

x = -7

Step-by-step explanation:

(x + 14) + (x + 12) = 12

Combine like terms

2x + 26 = 12

Subtract 26 from both sides

2x = -14

Divide both sides by 2

x = -7

Answer:

Step-by-step explanation:

PQ +QR = PR

x + 14 + x + 12 = 12

Combine like terms

x + x + 14 + 12 = 12

        2x + 26 = 12

Subtract 26 from both sides

               2x = 12 - 26

               2x = -14

Divide both side by 2

                 x = -14/2 =

x = -7

9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The denominators of the two fractions must be the same. To make that happen, Juan can multiply the second fraction by (x-2)/(x-2) -- the marked answer choice -- and multiply the first fraction by 3/3. These operations can be done in some order.

The offered choices suggest that treating the second fraction first is Juan's preferred choice.

Answer:

-32

Step-by-step explanation:

- 2 + 6 * -5 = -32

Answer:

- 32

Step-by-step explanation:

- b + 6 c

Where we've

- ( 2 ) + 6 ( -5 )

- 2 - 30

Answer:

a chance of 3.16

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Base area = (leg 1 x leg 2)/2 = (9 x 12)/2 = 54 ft^2

Base perimeter = leg 1 + leg 2 + hypotenuse = 9 + 12 + 15 = 36 ft

LA= base perimeter x 24 = 36 x 24 = 864 ft^2

SA = 2 x base area + LA = 54 x 2 + 864 = 972 ft^2

Answer:

A cube can be made out of this

Step-by-step explanation:

Hope this helps you :)

Answer:

A and b

Step-by-step explanation: Because ....