What is the mode of the data set 7, 8, 2, 3, 9, 3, 7.

A: 2
B: 9
C: 3 and 7
D: 3

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

37% of the company's orders come from first-time customers.

This means that [tex]p = 0.37[/tex]

A random sample of 225 orders will be used to estimate the proportion of first-time-customers.

This means that [tex]n = 225[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.37[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{225}} = 0.0322[/tex]

What is the probability that the sample proportion is between 0.26 and 0.38?

This is the pvalue of Z when X = 0.38 subtracted by the pvalue of Z when X = 0.26.

X = 0.38

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.38 - 0.37}{0.0322}[/tex]

[tex]Z = 0.31[/tex]

[tex]Z = 0.31[/tex] has a pvalue of 0.6217

X = 0.26

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.26 - 0.37}{0.0322}[/tex]

[tex]Z = -3.42[/tex]

[tex]Z = -3.42[/tex] has a pvalue of 0.0003

0.6217 - 0.0003 = 0.6214

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

Answer:

2) 89%

Step-by-step explanation:

Answer:

x = 67

Step-by-step explanation:

If the measure of the entire chord is 166°, then if you add the two angles that form it together, it will equal 166.

So,

x + 15 + x + 17 = 166

Simplify.

2x + 32 = 166

Subtract 32 from both sides.

2x = 134

Divide both sides by 2.

x = 67

I hope this helps! Feel free to ask any questions!

C: 66 degrees. Hope this helped!

Answer:

40+20pi

10+10+10pi+10+10+10pi

Step-by-step explanation:

40+20pi

10+10+10pi+10+10+10pi

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]

Step-by-step explanation:

2l+2w=perimeter

L is Length

W width

Answer:

24ft

Step-by-step explanation:

it said its right

Answer:50%

Step-by-step explanation: 6/12 Pepperoni 6/12 Cheese So for each it is going to be 1/2 or 50% for both.

Hope this helps!

Answer:

1/2 or 6/12 or 50%

Step-by-step explanation:

there are 12 slices, and there are 6 pepperoni pizza slices, randomly if she picks 2 slices the probability of it being pepperoni is 6 out 12, which can also be said 1/2 or 50

1/2 or 6/12 or 50%

Answer:

dcijkchb dhcdnhujkcmnjic jni

Step-by-step explanation:

uducjkv

Answer:

4 6/7

Step-by-step explanation:

Answer:

n<1

Step-by-step explanation:

Okay so we know that n has to be smaller than 1 because 1*5=5 and 5=5. So, if 5n equals a number less than 5, it has to be less than 1. It would be ≤0 because it can still be a decimal between 1 and 0. For example, 5*0.5=2.5, 5>2.5.

Your final answer is n<1

Answer:

The correct answer is B. 232.

Step-by-step explanation:

Since Jameson Middle School gives bottles of water to teachers and students who are going on a field trip, and the school orders 500 bottles of water and they plan to give 35 bottles of water to teachers, and they ordered at least 2 bottles of water for each student, to determine how many students could be going on the field trip, the following calculation must be performed:

(500 - 35) / 2 = X

465/2 = X

232.5 = X

Thus, the number of students that can go to the field trip is 232.

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:

160 ounces

Step-by-step explanation:

16 ounces=1 pound

10x16=160

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.

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:

w-(v+4)

Step-by-step explanation:

please give brainliest

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:

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:

4. 7 1/2 is Answer

Step-by-step explanation:

I hope it's helpful!

Answer:

14 16,18,20 22,24

so, 6 out of 24

6/24 simplifies to 1/4

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:

Answer:

Line segment CD and Line BC are not represented.

Step-by-step explanation:

Line segment CD is not represented because a line segment is a portion of a line that has 2 distinct end points.

Line BC is not represented because a line is a straight path that has no beginning nor an end

Ray BC is represented because a ray is a part of a line which has one end point and extends infinitely in one direction.

Point B is represented because we can see a dot at B indicating that B is a point.

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:

area of triangle= 1/2*h*b

= 1/2*6*16

=3*16

= 48 yd²

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

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

Answer:

= 4 ¾ × 7

= 33.25 snack bones

Answer:

Step-by-step explanation:

x = Number of adults

x + x + 68 = 632

2x = 632 -  68

2x = 564

x = 282

282 + 68 = 350

350 children.

We can always check.

282 + 350 =

It equals 632, so we know our answer is correct.

Answer

564

Step-by-step explanation: