Internet company Gurgle is carrying out testing on the efficiency of its search engine. A sample of 31 searches have been carried out and the time taken to display the results has been recorded for each search. The mean search time for the sample was calculated as 0.2258 seconds. The standard deviation of the search times for the sample was calculated as 0.0188 seconds. The population standard deviation of search times is unknown.

1. Select all the techniques that are commonly used to construct a confidence interval for the mean when the population standard deviation (σ) is unknown:

a. Approximate the population standard deviation (σ) with the sample standard deviation (s)
b. Replace the sample size (n) with n-1
c. Decrease the confidence level to compensate for the increased margin of error
d. Approximate the standard normal distribution with the Student's t distribution

2. Calculate the upper and lower bounds of the 95% confidence interval for the mean search time for the Gurgle search engine.

Answer:

15, y = 1/2x + 3.75

Step-by-step explanation:

Am not 100% sure but for #15

cuz I graphed it & it looks alike

Answer:

there is no question but if its on performance matters, its very close to 1 thats the answer

Step-by-step explanation:

Answer:

160 ounces

Step-by-step explanation:

16 ounces=1 pound

10x16=160

Answer:

C. F'(x) = x - 6 / 3

Step-by-step explanation:

[tex]y = 3x + 6[/tex]

[tex]x = 3y + 6 \\ x - 6 = 3y + 6 - 6[/tex]

[tex] \frac{x - 6}{3} = \frac{3y}{3} [/tex]

[tex]y = \frac{x - 6}{3} [/tex]

[tex]f1 = \frac{x - 6}{3} [/tex]

Answer:

55.50

Step-by-step explanation:

2(7.75)  = 15.5

15.5+3   = 18.5

3(18.5)   =55.5

$55.50

The ratio of non-members to the total group size is to be considered as the  option  C. 11 to 5

Since

In a small group, the ratio of club members to non-members is 6 to 5.

So, the total members should be

= 6 + 5

= 11

Now the ratio be like 11 to 5

Hence, the option c is correct.

Learn more about ratio here: https://brainly.com/question/13021566

Answer:

4*3/4* 7=21 bones per week

Answer:

= 4 ¾ × 7

= 33.25 snack bones

Answer:

No, this can not be a triangle because if you use the Pythagorean theorem 5 squared plus 2 squared doesn't equal 10 squared.

Step-by-step explanation:

You take 5 squared and 2 squared and add them, you then find the square root and that should equal 10, if not its not a triangle.

Answer:

Step-by-step explanation:

a) To provide an example of a function N → N that is one-to-one but not onto.

Suppose [tex]f:N\to N[/tex]  to be [tex]f(n)=n^2[/tex]

Then; [tex]\text{a function } \ f: A \to B\ \text{is one-to-one if and only if } f(a) = f(b) \implies a = b \ for \ a, b \ \epsilon \ A.[/tex]

[tex]\text{a function } \ f: A \to B\ \text{is onto if and only if for every element } b \ \epsilon \ B \\ \text{there exist an element a} \ \epsilon\ A \ such \ that f(a) = b}[/tex]

Now, assuming [tex]a \ \Big {\varepsilon} \ N \& \ b \ \epsilon \ N;[/tex]

Then [tex]f(a) = f(b)[/tex]

[tex]a^2 = b^2 \\ \\ a = b[/tex]

The above function is said to be one-to-one

[tex]\text{it is equally understandable that not every natural number is the square of a natural number}[/tex]e.g

2 is not a perfect square, hence, it is not regarded as the image of any natural no.

As such, f is not onto.

We can thereby conclude that the function  [tex]f(n) = n^2[/tex] is one-to-one but not onto

b)

[tex]Suppose f: N \to N[/tex] be

[tex]f(n) = [n/2] \\ \\ For \ n =1, f(1) = [1/2] = [0.5] = 1 \\ \\ For \ n=2 , f(2) = [2/2] = [1] = 1[/tex]

It implies that the function is not one-to-one since there exist different natural no. having the same image.

So, for [tex]n \epsilon N[/tex] , there exists an image of 2n in N

i.e.

[tex]f(2n) = [2n/2] = [n] = n[/tex]

Hence, the function is onto

We thereby conclude that the function [tex]f(n) = [n/2] \text{ is onto but not one-to-one}[/tex]

c)

[tex]let f: N\to N[/tex] be  [tex]f(n) = \left \{ {{n+1, \ if \ n \ is \ even } \atop n-1 , \ if \ n \ is \ odd} \right.[/tex]

So, if n, m is odd:

Then:

[tex]f(n) = f(m) \\ \\ n-1 = m-1 \\ \\ n = m[/tex]

Likewise, if n, m is even:

Then;

[tex]f(n) = f(m) \\ \\ n+1 = m+ 1 \\ \\ n = m[/tex]

The function is then said to be one-to-one.

However, For [tex]n \epsilon N[/tex] and is odd, there exists an image of [tex]n - 1[/tex]that is even;

[tex]f(n - 1) = n -1 + 1 =n[/tex]

For [tex]n \epsilon N[/tex] and is even, there exists an image of [tex]n + 1[/tex]that is odd;

[tex]f(n - 1) = n +1 - 1 = n[/tex]

where(; implies such that)

Hence, this function is said to be onto.

We can therefore conclude that the function [tex]f(n) = \left \{ {{n+1, \ if \ n \ is \ even } \atop n-1 , \ if \ n \ is \ odd} \right.[/tex] is both onto and one-to-one.

d)

Here, to provide an example where the [tex]f:N \to N[/tex] is neither one-to-one nor onto.

SO;

Let [tex]f : N \to N[/tex] is defined to be [tex]f(n)=0[/tex]

Then, since every integer has the same image as zero(0), the function is not one-to-one.

Similarly, the function is not onto since every positive integer is not an image of any natural number.

We, therefore conclude that, the function [tex]f(n)=0[/tex] is neither one-to-one nor onto.

Answer:

C. It would be shifted down.

General Formulas and Concepts:

Algebra I

Reading a Cartesian Plane

Functions

Graphing

Coordinates (x, y)

The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Original Function] y = 12x + 7

[Transformed Function] y = 12x + 2

Step 2: Identify

Compare functions to general form.

[Original Function] Slope m = 12, y-intercept b = 7

[Transformed Function] Slope m = 12, y-intercept b = 2

Step 3: Compare

We see that they both have the same slope m of 12, so A and B can be eliminated as the slopes don't change and therefore would not be steeper or less steep.

Now comparing the y-intercept b's, we see that the original function has a bigger b than the transformed function. This tells us that the original function will start higher than the transformed function.

We can also graph both equations and see what happens to the original equation.

∴ the answer would be C. It would be shifted down.

Answer:

0.2 = 20% probability that on a given day the previews last between 10 and 12 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

It is known that the previews begin at the scheduled movie start time and they last between 5 and 15 minutes.

This means that [tex]a = 5, b = 15[/tex]

What is the probability that on a given day the previews last between 10 and 12 minutes?

[tex]P(10 \leq X \leq 12) = \frac{12 - 10}{15 - 5} = \frac{2}{10} = 0.2[/tex]

0.2 = 20% probability that on a given day the previews last between 10 and 12 minutes

Answer:

y = 2

Step-by-step explanation:

4x - 3y = -18, then 4x = 3y - 18,                  x = (3y - 18)/4

6x + 7y = -4

substitute for x:

6((3y - 18)/4) + 7y = -4

(18y - 108)/4 + 7y = -4

4.5y - 27 + 7y = -4

combine like terms:

11.5y = 23

y = 2

check:

x = (3(2) - 18)/4 = -12/4 = -3

6(-3) + 7(2) = -4

-18 - 14 - -4

-4 = -4

so y = 2 is correct

Answer:

2/3

Step-by-step explanation:

There are 4 red balls and 8 yellow balls.

Therefore, there are total 12 balls in the bag.

n(S) = 12

Let A be the event when the ball drawn is not a red ball.

The balls which are not red will be yellow balls and there are 8 yellow balls so,

n(A) = 8

Probability that the ball drawn randomly from the bag is not a red ball,

p(A) = n(A) / n(S)

= 8/12

= 2/3

Therefore, the probability of the ball drawn randomly is not a red ball is 2/3.

Answer:

GOT U

Step-by-step explanation:

Mean = 81.5

Median =93.5

Mode = 98

Answer:

65 x 160  / 100 = 104

Step-by-step explanation:

Answer:

A. 340 lbs

hope this helps

Answer:

440

Step-by-step explanation:

Y=Mx+b

y=40x+40

y=40(10)+40

y=400 + 40

y=440

Answer:

The first two equations.

Step-by-step explanation:

The first equation:

x² - 100 = 0

x² = 100

√x² = √100

x = ±10

x = 10 or -10

Second equation:

(x - 6)² = 25

√(x - 6)² = √25

x - 6 = ±5

x - 6 = 5 or x - 6 = -5

x = 11 or 1

It seems that for the other two equations, you have to complete the square and factor them out.

Answer:

I believe it is -6

Step-by-step explanation:

Answer:

an equilateral triangle have equal angles and equal sides.

so, side x and side bc are 12.

Answer:

It's going to be 12, so is the other size.

Step-by-step explanation:

You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D

Answer:

Y=1/4x+33/4

Step-by-step explanation:

Y=1/4x+b

9=1/4(3)+b

9=3/4+b

8.25=33/4=b

Y=1/4x+33/4

Answer: 0.28

Step-by-step explanation: Reviewed my quiz, got you covered

Answer:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

[tex]i^2 = -1[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]

Output of 40 when x=1

This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So

[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]

[tex]40 = a(20)(2)[/tex]

[tex]40a = 40[/tex]

[tex]a = 1[/tex]

The polynomial is:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Answer:

Step-by-step explanation:

Simply putting the value of x = 3 in the equation

g(x) = x3 - x

g(3) = (3)3 - (3)

= 27 - 3 = 24

The value of the function will be equal to 24.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Simply put the value of x = 3 in the equation

g(x)   =  x³  -  x

g(3)  =  (3)³ - (3)

g(3)  =  27  -  3 = 24

Therefore the value of the function will be equal to 24.

To know more about function follow

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Answer:

Step-by-step explanation:

Answer:

w-(v+4)

Step-by-step explanation:

please give brainliest

Answer:

2) 89%

Step-by-step explanation:

Answer:

1(2)+3=5

Step-by-step explanation: