Cars enter a car wash at a mean rate of 3 cars per half an hour. What is the probability that, in any hour, at least 3 cars will enter the car wash

Answer:

The answer is

(0 , 0)

Good luck!

Answer:

Look at the image.

Step-by-step explanation:

Solution :

From the table,

Number of countries = [tex]$N_i$[/tex]

Mean = [tex]$\overline Y_i$[/tex]

Standard deviation = [tex]$\sigma_i$[/tex]

Margin of error of B = 50,000 acres

So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].

Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex]  is given by :

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

Let us complete the numerator

[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]

                [tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]

                = 453329920

The bound on the error of estimation is B = 50,000 acres

Hence we get

[tex]$D=\frac{B^2}{H}$[/tex]

  [tex]$=\frac{50000^2}{4}$[/tex]

  = 625,000,000

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

  [tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]

 = 220.24044

≈ 221 (approximately)

Therefore, the sample size under the proportional allocation from each stratum are given by :

[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1052}{3056}\right]$[/tex]

   ≈ 76

[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{210}{3056}\right]$[/tex]

   ≈ 15

[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1376}{3056}\right]$[/tex]

   ≈ 100

[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{418}{3056}\right]$[/tex]

   ≈ 30

Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.

We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.

Answer:

19  dimes and  15  quarters.

Step-by-step explanation:

Lets substitute in the equation

565=10x+25(34-x)

565=10x+850-25x

15x=285

x=19

So...

34-19=15

Answer:

X = 1.71

or

X = 1.70951

Step-by-step explanation:

Good Luck!

The required value of x for the given equation is approximately 1.71.

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

Equation:

The given equation is [tex]10(1.5)^{3x} = 80[/tex]

Divide both sides by 10.

[tex](1.5)^{3x} = \dfrac{80}{10}\\\\(1.5)^{3x} = 8[/tex]

Taking log on both sides, we get

[tex]log (1.5)^{3x} = log 8\\\\3x log (1.5) = log 8[/tex]

Divide both sides by 3log(1.5).

x = log 8/ 3log(1.5)

x = 1.71

Therefore, the required value of x for the given equation is approximately 1.71.

Find out more about 'Equation' here:

brainly.com/question/11162571

#SPJ2

Answer:

ok so slope intercept for is y=mx+b, or y=slope x + y intercept. Sooo it would be y=0.5x-2 :) hope this helps

Step-by-step explanation:

Answer:

y = 1/2 x - 2

Step-by-step explanation:

Slope-intercept form:

y = mx + b

You need to solve for y.

-x + 2y = -4

2y = x - 4

y = 1/2 x - 2

Answer:

1 Pm

Step-by-step explanation:

Answer:

3:18 Pm

Step-by-step explanation:

Nice picture of mute button

Answer:

131/156 or about 84%

5/14 or about 36%

Step-by-step explanation:

P(<6 classes) = number of males and females not taking 6 out of total males and females, which is 131/156 or about 84%

P(M,5) = 74/156 x 20/74 which reduces to 5/14

Answer:

10

Step-by-step explanation:

If you look at it closely you can see its a complete circle.... on the sides its 12 then as you go to the center the first one is ten and the dot is in the center which should make it 10.

Answer:

it's basically 10, both sides are equal

Step-by-step explanation:

question seems incomplete

there are no notations for inequalities

Answer:

A

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Data: x+14<20

x=9? Is what your trying to find

Step one, Isolate x by subtracting 14 on both sides

X+14-14<20-14=X=6

Reason: Since you are trying to find if x=9, you have to isolate it. The way to do that is to get rid of +14 by subtracting it by 14. However, since what you do to one side you do to the other, you subtract +20 by 14 to get 6.

Since x=6 isn't x=9, the answer is No

Answer: No

I hope this helps!

Answer - 40

----------

100 - 4

96 - 8

88 - 16

72 - 32

Answer:

need help asap

Step-by-step explanation:

Answer:

a. 880

Step-by-step explanation:

Options are "a. 880 b. 90 c. 790 d. None of these choices"

Interval estimate of between 790 and 970 books checked out per day.

Lower limit is 790, Upper limit is 970

Point estimate of μ(x) = [Upper limit + Lower limit} / 2

Point estimate of μ(x) = [970 + 790] / 2

Point estimate of μ(x) = 1760/2

Point estimate of μ(x) = 880

So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.

Answer:

y^3 - 9y^2 + 26y - 29

Step-by-step explanation:

y - 4[y - 3(y - 2)] - 5

I'm going to separate it into parts

(y - 3)(y - 2)

y^2 - 5y + 6

(y - 4)(y^2 - 5y + 6)

y^3 - 5y^2 + 6y - 4y^2 + 20y - 24

y^3 - 9y^2 + 26y - 24

y^3 - 9y^2 + 26y - 24 - 5

y^3 - 9y^2 + 26y - 29

Answer:

More than half of the players are under age

40.

Step-by-step explanation:

Evaluating the expression : More than half of the players are under age 40.

Below 40s :

Number of players in 20s = 19

Number of players in 30s = 24

(19 + 24) = 43 players

40s and above :

40s = 8 players

50s = 10 players

60s = 5 players

70s = 2 players

(8 + 10 + 5 + 2) = 25 players

Hence, total number of players below 30s is more Than half of the total players

Answer:

take 48 degree as reference angle

use sine rule

sin48=opposite/hypotenuse

0.74=5.4/x

x0.74=5.4

x=5.4/0.74

x=7.29  m

Step-by-step explanation:

Answer:

[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]

Answer: Maybe a

Step-by-step explanation:

I mean it is confusing but still look over it

Answer:

The bottom one looks correct

Step-by-step explanation:

Any number from 1-infinity will make that true

Answer:

[tex]k = 31[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]

[tex]r = -10[/tex] --- remainder

[tex]d = 2x + 1[/tex] --- divisor

Required

Find k

We have:

[tex]d = 2x + 1[/tex] --- divisor

Equate to 0

[tex]2x + 1 = 0[/tex]

Solve for x

[tex]2x = -1[/tex]

[tex]x =-0.5[/tex]

This means that:

[tex]f(-0.5)=-10[/tex]

So, we have:

[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]

[tex]0.5 -0.5k + 5 =-10[/tex]

Collect like terms

[tex]-0.5k=-10-5-0.5[/tex]

[tex]-0.5k=-15.5[/tex]

Solve for k

[tex]k = -15.5/-0.5[/tex]

[tex]k = 31[/tex]

Answer:

your answer has to be A or B  cuz the rest fo match up with the measurements

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

5,29×10=52,9

you move coma one place to the right when times 10

Answer:

52.9.

Step-by-step explanation:

[tex]5.29*10=52.9[/tex]

Whenever a number is multiplied by 10, move the decimal one place to the right.

Whenever a number is multiplied by 100, move the decimal two places to the right.

Whenever a number is multiplied by 1000, move the decimal three places to the right.

I'm sure you understand now.

Therefore, the product is 52.9.

However, I do not see an answer choice for this. Perhaps you made a mistake?

Answer:

Alcohol intake

Step-by-step explanation:

The Independent variable also called the predictor variable may be described as the treatment which is given a subject or factors which is expected to induce a change in our measured variable which is called the predicted or dependent variable. During research, the test various factors which are expected to cause a change are the independent variable, whereas, the variable which is measured as a result of the changes caused due to the different independent variables is the dependent variable. In the scenario above, we wish to measure braking speed after the subjects have been given a certain ounce of alcohol, this ounce of alcohol is the treatment which is expected to cause a variation in the braking speed of the participants. Hence, alcohol intake is the independent variable while braking speed is the dependent variable.

Answer:

y=-2x+13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(4-5)

m=2/-1

m=-2

y-y1=m(x-x1)

y-3=-2(x-5)

y=-2x+10+3

y=-2x+13

Answer:

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Step-by-step explanation:

if:

a + b + c = 0

then we can rewrite:

c = -a - b

Now we can replace this in our expression:

[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]

Now we can rewrite:

(-a - b)^2 = a^2 + 2*a*b + b^2

Then we can rewrite our expression as:

[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]

Let's keep simplifying this:

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]

Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]

Then the expression is equal to -2

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Answer:

for number 2:

(6cm x 4cm) + (6cm x 3cm)

24cm + 18cm + 12cm

2 x 54cm

108cm

for number 3:

80m + 1920m

2,000m

Step-by-step explanation:

from the triangle

let angle close to 130⁰ be y

130⁰+y⁰=180⁰(sum of angles on a straight line)

y⁰= 180⁰-130⁰

y = 50⁰

70 + y + x = 180⁰(sum of angles in a triangle)

70 + 50 + x= 180⁰

x= 180⁰-120⁰

x=60⁰