5. Past experience shows that the standard deviation of the distances traveled by consumers to patronize Chinese restaurants is 2 km. How large a sample is needed to estimate the population mean distance traveled to within 0.4 km

Answer:

[tex]\displaystyle \frac{1}{\pi}\approx0.318[/tex]

Step-by-step explanation:

The velocity of an object moving on a line is given by the function:

[tex]\displaystyle v(t)=\frac{1}{\pi}+\sin(3t),\; \frac{\pi}{2}\leq x\leq\pi[/tex]

And we want to determine the velocity of the object when its acceleration is 3.

So, we will need to determine our acceleration function. Remember that acceleration is simply the derivative of speed. Therefore, our acceleration function a(t) will be:

[tex]\displaystyle a(t)=v^\prime(t)=\frac{d}{dt}[\frac{1}{\pi}+\sin(3t)][/tex]

Differentiate. We will use the chain rule on the second part. Hence, our acceleration function is:

[tex]\displaystyle a(t)=3\cos(3t)[/tex]

We want to find the velocity when the acceleration is 3.

So, let’s set a(t) equal to 3 and determine at what time t our function equals 3. Hence:

[tex]3=3\cos(3t)[/tex]

Divide both sides by 3:

[tex]\cos(3t)=1[/tex]

Take the inverse cosine of both sides.

Remember that cosine is 1 for every 2π. Hence:

[tex]3t=2\pi n[/tex]

Where n is an integer.

Divide both sides by 3. Therefore, our solutions are:

[tex]\displaystyle t=\frac{2\pi n}{3}[/tex]

However, our domain was π/2≤x≤π.

Hence, we can test values of n such that it is within our domain.

Testing for n=0, 1, and 2, we see that:

[tex]\displaystyle t=0, \, t=\frac{2\pi}{3},\, t=\frac{4\pi}{3}...[/tex]

However, the only solution that is within our domain is the second solution.

Hence, the acceleration is 3 when the t is 2π/3.

Therefore, our velocity at that time t is:

[tex]\begin{aligned}\displaystyle v(\frac{2\pi}{3})&=\frac{1}{\pi}+\sin(3(\frac{2\pi}{3}))\\ &=\frac{1}{\pi}+\sin(2\pi)\\&=\frac{1}{\pi}+0\\&=\frac{1}{\pi}\approx 0.318\end{aligned}[/tex]

Answer:

MP=18

Perimeter of ∆LMP=42

Answer:

MP= 18

Perimeter is 42

Step-by-step explanation:

The midsegment is always half of the third side

LP=LO/2

LP=15

18+15+9=42

Answer:

[tex]\huge\boxed{\sf Reduces}[/tex]

Step-by-step explanation:

Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.

Thus the scale factor of 0.75 reduces the dilated image.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

-it reduces-

Step-by-step explanation:

good luck:)

Answer: well depends on how much points you scored in your last game

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

maybe

Answer:

I think it is True

Answer:

The equation of the line will be:

Step-by-step explanation:

We know the slope-intercept of a line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given two points on a line graph

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)[/tex]

[tex]m=\frac{10-0}{25-0}[/tex]

[tex]m=\frac{2}{5}[/tex]

We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept = b = 0

Now, substituting b = 0, and m = 2/5 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{2}{5}x+0[/tex]

[tex]y\:=\:\frac{2}{5}x[/tex]

Therefore, the equation of the line will be:

Answer:

B

Step-by-step explanation:

Answer: Bottom Left

Step-by-step explanation:

Answer:

bottom left

Step-by-step explanation:

cuz it makes sense

Answer:

a = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8a - 15 - 6a + 3a = 85

Step 2: Solve for a

Answer:

11:33 or in simplified terms 1:3

Step-by-step explanation:

Hope this helps!:)

Answer:

10-35n=?

Step-by-step explanation:

This would be in simplest form

Answer:

10 - 35n

Step-by-step explanation:

Step 1:

5 ( 2 - 7n )         Equation

Step 2:

( 5 × 2 ) - ( 5 × 7n )      Multiply

Answer:

10 - 35n

Hope This Helps :)

Answer:

1.08.

Step-by-step explanation:

Answer:

1/52

Step-by-step explanation:

To obtain the probability of drawing a 9 of spade from a deck of 52 cards ;

Probability = (number of required outcomes / number of total possible outcomes)

Number of Required outcomes = 1 (there is only one 9 of spade in a deck of 52 cards)

Hence,

P(9 of spade). = 1 / 52

Answer:

26:12, 26/12, 26 for every 12

Step-by-step explanation:

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

remember when dividing with fractions, you are multiplying by the reciprocal.

this means

[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]

Answer:

the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26

Answer:

Step-by-step explanation:

Hi

Answer:

13.24

Step-by-step explanation:

Your buying a shirt not shorts

Answer:

Raphael sells paintings for $200 each at a market, but has to pay $100 to reserve a table. :)

Step-by-step explanation:

The scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]where that middle sign is the sign of proportionality.

This inversely proportional relationship is denoted by;

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

Thus, the scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ6

Answer:

B:9

Step-by-step explanation:

Answer:

June 26th

Step-by-step explanation:

The distance covered in 2.6 days will be 637 miles. The correct option is D.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that the riders were able to cover about 245 miles per day before they would stop and rest. The trip between San Francisco and Denver takes 2.6 days.

Distance will be calculated by the formula below:-

Distance = Speed x time

Distance = 245 x 2.6

Distance = 637 miles

Therefore,  the distance covered in 2.6 days will be 637 miles. The correct option is D.

To know more about Speed follow

brainly.com/question/6504879

#SPJ2

Answer:

A.

Step-by-step explanation:

In a Linear Function, the changes between x and y should remain constant.

A: x increases by 2 while y increases by 2 steadily so it is a linear function.

B: x increases by 1 and then zooms up to increasing in double (2) while y increases by 2 and then zooms up to increasing to more than double (5) so B is not a linear function.

C: x increases by 3, then one-third of 3 (1), then two-third of 3 (2). y decreases by 6, then one-third of 6 (2), then one-third (2) again when it should have decreased by two-third of 6 (4). Notice that the last decrease was different from x.

D: x increases by 6, then one-third of 6 (2), then half of 6 (3). y decreases by 3, then one-third of 3 (1), then two-third of 3 (2) when it should have decreased by half of 3 (1.5). Notice the last decrease was different from x.

Answer:

pick the answer a

Step-by-step explanation:

Answer:

For d: x=2

Step-by-step explanation:

Lets +1 on both sides so 9+1=10. Now the equation is 5x=10

Divide 10÷5=2

Answer:

The answer to this question is 4/5.

Answer:

4/5 or 0.8

Step-by-step explanation:

we divide tap and bottom by 6.

Answer:

answer is c

Step-by-step explanation: