In any circle of radius R, how many arcs with lengths R fit into the circumference?

Answer:

0.7 x 10 ^ -9

Step-by-step explanation:

(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5)

3.5 / 5 x 10 ^ -4/ 10 ^ 5

=> 0.7 x 10 ^ -9

Answer:

1/10

Step-by-step explanation:

any number (1-9) as the number above the fraction line (numerator) with the number 10 below the fraction line is a fraction with a denominator of 10.

if it was 10/10, it will = 1

Answer:

y=-9/8x-19/8

Step-by-step explanation:

Answer:

3 maybe I'm just guessing.

now thats room for an answer again: yeah, 3 is right. its the x³ that defines the degree, its just the biggest power.

Answer:

2/39

Step-by-step explanation:

You will end up with 12/234

You can simplify it by 6

And then you get 2/39

Let X be the random variable representing the weight of a randomly selected widget. You're given that the mean and standard deviation of X (which is normally distributed) are 41 oz and 11 oz, respectively.

Then

Pr[X > 19] = Pr[(X - 41)/11 > (19 - 41)/11] = Pr[Z > -2]

where Z follows the standard normal distribution with mean 0 and s.d. 1.

I assume you're familiar with the 68-95-99.7 rule, the important part of which says that approximately 95% of any normal distribution lies within 2 standard deviations of the mean. Mathematically, this is to say

Pr[-2σ < X < 2σ] ≈ 0.95

where σ is the s.d. of X, or in terms of Z,

Pr[-2 < Z < 2] ≈ 0.95

This means that roughly 5% of the distribution falls outside this range:

Pr[(Z < -2) or (Z > 2)] = 1 - Pr[-2 < Z < 2] ≈ 0.05

and because the distribution is symmetric about its mean, the probability of falling within either tail of the distribution is half of this, or roughly 2.5%

Pr[Z < -2] ≈ 0.05/2 ≈ 0.025

Then the probability of the complement is

Pr[Z > -2] = 1 - Pr[Z < -2] ≈ 1 - 0.025 ≈ 0.975

so that Pr[X > 19] ≈ 97.5%.

Answer: 25

Step-by-step explanation:

Answer:

15400 books

Step-by-step explanation:

in the first year he sold =6859 books

in the second year he sold =8541 books

therefore, to find the book he sold altogether

6859+8541

= 15400 books altogether

Answer:

15400 books altogether.

Explanation:

Books sold in 1st year: 6859

Books sold in 2nd year: 8541

Total books sold:

                            6859 + 8541 = 15400.

Answer:

Using PEMDAS the answer would be 192758

Step-by-step explanation:

(356*27)+(537*373)-(235*73)=

9612+200301-17155=

Solve

192758

Happy learning!

--Applepi101

Answer:

10,13,14,20,30................

Answer:

31.7919075 % decrease

Step-by-step explanation:

To find the percent decrease

Take the original amount and subtract the new amount

1.73 billion - 1.18 billion =.55 billion

Divide by the original amount

.55 billion / 1.73 billion

.317919075

Change to percent form

31.7919075 % decrease

Answer:

1

Step-by-step explanation:

1 : 1 :sqrt(2)

The legs are  in the ratio of 1 to 1

tan 45 = opp side / adj side

tan 45 = 1/1

tan 45 =1

Answer:

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

[tex]3^{2x+1} = 3^{x+5}[/tex]

if the bases are equal then the powers must be equal as well

2x+ 1 = x+5 export like terms to same side of equation

2x - x = 5 - 1 add/subtract like terms

x = 4

Answer:

0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.

Step-by-step explanation:

We have only the mean, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester.

This means that [tex]\mu = 7[/tex]

What is the probability that more than 3 students will have their automobiles stolen during the current semester?

This is:

[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]

In which

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-7}*7^{0}}{(0)!} = 0.00091[/tex]

[tex]P(X = 1) = \frac{e^{-7}*7^{1}}{(1)!} = 0.00638[/tex]

[tex]P(X = 2) = \frac{e^{-7}*7^{2}}{(2)!} = 0.02234[/tex]

[tex]P(X = 3) = \frac{e^{-7}*7^{3}}{(3)!} = 0.05213[/tex]

Then

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.00091 + 0.00638 + 0.02234 + 0.05213 = 0.08176 [/tex]

[tex]P(X > 3) = 1 - P(X \leq 3) = 1 - 0.08176 = 0.91824[/tex]

0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.

Answer:

111.1111... lbs

x -.1x = 100

.9x = 100

x = 100/.9 = 111.1111

Step-by-step explanation:

Answer:

D. 6

Step-by-step explanation:

Range of any data set is the difference between the maximum value and the minimum value.

From the graph given above, the least data value plotted on the graph is 1.

Minimum value = 1

The maximum data value = 7

The range of the data set = max - min

Range = 7 - 1

Range = 6

Answer:

0.9999985  = 99.99985% probability that in a day, there will be at least 1 birth.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Assume that the mean number of births per day at this hospital is 13.4224.

This means that [tex]\mu = 13.4224[/tex]

Find the probability that in a day, there will be at least 1 birth.

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-13.4224}*13.4224^{0}}{(0)!} = 0.0000015[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000015 = 0.9999985 [/tex]

0.9999985  = 99.99985% probability that in a day, there will be at least 1 birth.

The difference of course is the symbol between the f and g letters.

The circle [tex]\circ[/tex] notation means we're doing a function composition.

Writing [tex](f \circ g)(x)[/tex] is the same as saying [tex]f(g(x))[/tex] where g is the inner function.

Here's an example

f(x) = x^2

g(x) = 3x

f( g(x) ) = ( g(x) )^2 ... note how x is replaced with g(x)

f( g(x) ) = ( 3x )^2

f( g(x) ) = 9x^2

-------------------

On the other hand, the dot notation means we multiply the f(x) and g(x) functions.

Going back to the previous example, we could say

[tex]f(x) = x^2\\\\g(x) = 3x\\\\(f \cdot g)(x) = f(x)*g(x)\\\\(f \cdot g)(x) = x^2*3x\\\\(f \cdot g)(x) = 3x^3\\\\[/tex]

Answer:

Answer:     2x^2+11x+15      Coefficient of x is 11 and coefficient of x^2 is 2.

Step-by-step explanation:

(x+3)×(2x+5)=?

           Use FOIL Method                      Foil stands for First Outer Inner Last

Step 1:      (x×2x)        =2x^2                Multiply First Terms together  (x and 2x)

Step 2:     (x×5)         =5x           Multiply Outer terms together (x and 5)

Step 3:    (3×2x)        =6x           Multiply Inner terms together (3 and 2x)

Step 4:     (3×5)         =15            Multiply Last terms together (3 and 5)

2x^2+5x+6x+15             Combine Like Terms

Answer:     2x^2+11x+15

Answer:

The y intercept is 1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 2x+b

Substitute the point into the equation and solve for y

3 = 2(1)+b

3 =2+b

1 = b

The y intercept is 1

Answer:

x = 4

Step-by-step explanation:

If A is parallel to B, therefore,

9x + 4 = 5x + 20 (alternate interior angles are congruent)

9x + 4 - 5x = 5x + 20 - 5x (subtraction property of equality)

4x + 4 = 20

4x + 4 - 4 = 20 - 4 (subtraction property of equality)

4x = 16

4x/4 = 16/4 (division property of equality)

x = 4

Answer:

Step-by-step explanation:

the formula attached

Answer:

1.6 = 1 + .6 = 60% growth rate

Step-by-step explanation:

Answer:

B) 1.622 to 1.778 includes the mean of the population beta.

Step-by-step explanation:

We have the standard deviation for the sample, so the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 100 - 1 = 99

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9842

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.9842\frac{0.4}{\sqrt{100}} = 0.078[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.7 - 0.078 = 1.622.

The upper end of the interval is the sample mean added to M. So it is 1.7 + 0.078 = 1.778.

Thus the correct answer is given by option B.

Answer:

$836.8

Step-by-step explanation:

Average price = mean = $965

Standard deviation, = $100

Given that distribution is approximately normal ;

The least expensive 10% of the laptops :

We Obtain the Zscore that corresponds to P(Z ≤ 0.1) ; this means the least 10% of the laptops ;

From, a normal probability distribution table ;

P(Z ≤ 0.1) = - 1.282

We substitute this into the Zscore formula :

Zscore = (x - mean ) / standard deviation

x = price

-1.282 = (x - 965) / 100

-128.2 = (x - 965)

x = - 128.2 + 965

x = $836.8

Hence, price is $836.8

Answer:

one lakh twenty seven thousand and seventy five

I hope this will help you

Answer:

A. a quadratic function can only have one y-intercep

Answer:

Type I error and Type II error

Explanation:

Type I and Type II errors are statistical errors made in hypothesis testing where an accepted hypothesis is actually the false hypothesis and the other true.

Type I error occurs when the chosen hypothesis is the alternative hypothesis which is false since the null hypothesis is true. We reject the null hypothesis which is actually true.

Type II error occurs when we accept or fail to reject the null hypothesis which is false and reject the alternative hypothesis which is true.

The probability of making a Type I error is represented by your alpha level (α)(we reject when below p-value)

The probability of a type-II error is represented by β which is beta.

Answer:

maximum: y = 1

minimum: y = 0.

Step-by-step explanation:

Here we have the function:

y = f(x) =  √(1 + x^2 - 2x)

we want to find the minimum and maximum in the segment [0, 1]

First, we evaluate in the endpoints, which are 0 and 1.

f(0)  =√(1 + 0^2 - 2*0) = 1

f(1) = √(1 + 1^2 - 2*1) = 0

Now let's look at the critical points (the zeros of the first derivate)

To derivate our function, we can use the chain rule:

f(x) = h(g(x))

then

f'(x) = h'(g(x))*g(x)

Here we can define:

h(x) = √x

g(x) = 1 + x^2 - 2x

Then:

f(x) = h(g(x))

f'(x)  =  1/2*( 1 + x^2 - 2x)*(2x - 2)

f'(x) = (1 + x^2 - 2x)*(x - 1)

f'(x) = x^3 - 3x^2 + x - 1

this function does not have any zero in the segment [0, 1] (you can look it in the image below)

Thus, the function does not have critical points in the segment.

Then the maximum and minimum are given by the endpoints.

The maximum is 1 (when x = 0)

the minimum is 0 (when x = 1)