A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. The standard error of the mean equals

Answer:

9 weeks

Step-by-step explanation:

$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.

Answer:

(A, B, C, D)

What is the sample space of the probability?

Sample space is the set of all possible outcomes of a random experiment.

Here given possible outcomes are A, B, C, D

Hence, Sample space of probability = (A, B, C, D), total 4 different choices

Learn more about sample space: brainly.com/question/23508655

Answer :

The set of all possible out in a random experiment is refer to as sample space.

The reading above is an example of discrete(finite) sample space.

Following the Discrete Probability Law if a sample space consist of a finite number ex:{1 ,2 ,3} . The probability is the sum of the probabilities of the elements.

Therefore answering a multiple choice questions with A,B,C and D are four choices with possible answer of A,B,C and D.

The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

Answer:

3/12

Step-by-step explanation:

Hope it helps plz give brainliest! :D

The end behavior is x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ +∝

From the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we can see that

So, the end behavior is x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ +∝

Also, the function is neither an odd-degree nor an even-degree function,

This is because the function is neither symmetry to the origin nor symmetry to the y-axis

For the number of real zeros, we have

Number of zeros = 3

This is because the function intersects the x-axis 3 times

Read more about end behavior at

https://brainly.com/question/1365136

#SPJ1

Answer: combine like terms then divide dum dum

Step-by-step explanation:

Answer:

A. 72°

D. 144°

E. 216°

Step-by-step explanation:

I just answered this.

in short : we rotate each vertex on a circle arc. the center of that circle being P.

so, at the end of every 1/5 of the circle arc there is a vertex of the polygon.

therefore, with every 1/5 of a full circle rotation we move the pentagon visually onto itself.

that is starting at

360/5 = 72°

and then every additional 72°

144°

216°

288°

360°

so, A, D and E are correct

Answer:

11(12w+5)

Step-by-step explanation:

common factors of 132 and 55 is 11

So we can take it out by dividing both terms by 11

11(12w+5)

Hopes this helps

Answer:I hope this is helps

good luck

Step-by-step explanation:

132w+55

Factor out from the expression
11(12w+5) this is the distributive Property

Answer:

-3 < y ≤ 3

Step-by-step explanation:

...............

Hello

2/7 = 2x5/7x5 = 10/35

10/35 > 6/35

=> 2/7 > 6/35

Answer:

138,877.01

Step-by-step explanation:

Answer:

I think $5133.43

Step-by-step explanation:

The most likely number of people who visited the library zero times last summer based on Amy's survey is 632 people

To find the number of people who were most likely not to visit the library, you need to find the percentage of people who did not visit the library from Amy's survey.

Percentage of males:                                           Percentage of females:

= 14 / 25                                                                 = 17 / 25

= 56%                                                                     = 68%

From the population of 1,000, the males and females who went to the library zero times would be:

Number of males:                                           Percentage of females:

= 56 % x 400                                                  = 68 % x 600

= 224 males                                                    = 408 females

Total number of people :

= 224 + 408

= 632 people

Find out more on surveys at https://brainly.com/question/27702198

#SPJ1

The result of the cross breeding between the heterozygous and homozygous pea plant is  the offspring will have a 50% chance of inheriting the dominant "G" allele and displaying yellow color, and a 50% chance of inheriting the recessive "g" allele and displaying green color.

In this problem, the heterozygous pea plant with yellow color is represented as "Gg" (where "G" is the dominant allele for yellow color and "g" is the recessive allele for green color). The homozygous pea plant with green color is represented as "gg" (where both alleles are recessive).

When these two plants are crossed, their offspring will inherit one allele from each parent, which will determine their phenotype (observable trait).

The possible combinations of alleles that the offspring can inherit from their parents are:

Gg x gg

Therefore, in this cross, the offspring will have a 50% chance of inheriting the dominant "G" allele and displaying yellow color, and a 50% chance of inheriting the recessive "g" allele and displaying green color.

Learn more on crossbreeding here;

https://brainly.com/question/8588470

#SPJ1

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

3x + 21

Step-by-step explanation:

(3)(x+7)

Now, we distribute the 3 in each term of (x+7)

So, 3*x = 3x and 3*7 = 21.

So our resulting term would be 3x+21.

The possible domain of the convergence are b. (-1,3) and c. (-1,3]

Domain of convergence.

In statistics, domain of the convergence also known as interval of convergence means an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it.

Given,

Here we need to identify in which of the options are domain of convergence.

As per the definition of domain of convergence, the interval of the convergence is (-∞ , ∞).

So, the possible convergence in the given options are (b) and (c).

To know more about  Domain of convergence here,

https://brainly.com/question/15415793

#SPJ4

Step-by-step explanation:

We can simplify the given expression using the rules of absolute values:

l-80-20l – 100 + l-100l

= -(20l + 80) - 100 + 100 (since |x| = -x when x is negative)

= -20l - 80

= -20(l + 4)

Therefore, the simplified expression is -20(l + 4).

Answer:

100

Step-by-step explanation:

\( | - 80 - 20| - 100 + | - 100| \\ = | - 100| - 100 + | - 100| \\ = 100 - 100 + | - 100| \\ = | - 100| \\ = \boxed{100}\)

____________

hope it helps!

Answer:

a. H0: p ≥ 0.50; HA: p < 0.50

b. H0: μ ≥ 10; HA: μ < 10

c. H0: μ = 250; HA: μ ≠ 250

Step-by-step explanation:

a. "I am going to get the majority of the votes to win this election."

This sentence means that the probability of winning is more than fifty percent or more than half.The null hypothesis would be

H0: the probability of winning is more than 50 %

against the claim that

Ha: the probability of winning is less than 50%

So the best choice would be option c

H0: p ≥ 0.50; HA: p < 0.50

b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."

The claim is that the pizzas are less than 10 inches in size.

which can be written as alternate hypothesis

Ha: u < 10

so the best choice would be  option a

H0: μ ≥ 10; HA: μ < 10

c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."

In this statement the claim is that an average of ibuprofen do not contain 250 mg as advertised.

the alternate hypothesis would be u ≠ 250 mg

Ha: μ ≠ 250  and the null hypothesis is the reverse of the aalternate hypothesis.

so the best option would be part a

H0: μ = 250; HA: μ ≠ 250

Answer: dont know

Step-by-step explanation:

We have to sketch an area model for the expression:

We can write it mathematically as:

Then, the product of the sides 3 and (2x+5) are equal to the sum of 6x and 15.

Answer: 3(2x+5) = 6x+15

The graph of this equation will exhibit a symmetrical heart-shaped curve.

The equation r² = 64cos(2θ) represents a polar curve.

The given equation is in the form of a polar equation, where r represents the radial distance from the origin, and θ represents the angle measured from the positive x-axis.

The equation r²= 64cos(2θ) represents a cardioid, which is a type of curve. It has a characteristic heart-shaped pattern.

The equation implies that the distance from the origin squared, represented by r, is determined by the cosine function of twice the angle, 2θ, multiplied by 64.

When plotted, the graph of this equation will exhibit a symmetrical heart-shaped curve.

Learn more about Cardioid here:

https://brainly.com/question/31988150

#SPJ1

Answer:16/15 or 1 1/15

Step-by-step explanation:

4/5 ➗ 3/4

4/5 x 4/3

(4 x 4) ➗ (5 x 3)

16 ➗ 15=16/15 or 1 1/15

The given equation is

This is a linear equation, which must have a y-intercept and x-intercept.

To find x-intercept we just need to replace y=0 in the equation

Then, we solve for x

Finally, we divide by 2

This means the x-intercept is at (-6,0).

On the other hand, to find y-intercept we need to replace x=0 in the equation

Then, we solve for y

At last, we divide by -3

So,

Therefore, the y-intercept is at (0,4).

To graph the function, we just need to graph each axis intercept and draw the line.

The correct expression of the inequality expression is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3

From the question, the expression is given as

18 ÷ 6 + 3 □ 6 + 12 ÷ 3

We start by converting the above expression to the same form

So, we start by solving the quotients

This gives

3 + 3 □ 6 + 4

Next, we evaluate the sum

So, we have

6 □ 10

In the above expression, we have

6 and 10

By convention, the number 6 is less than the number 10

This is so because 6 has a smaller value and 10 has a higher value

When the above numbers are compared, we have

6 is less than 10

This means that we make use of the inequality symbol <

So, we have

18 ÷ 6 + 3 < 6 + 12 ÷ 3

Hence, the complete inequality is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3

Read more about inequality at

brainly.com/question/25275758

#SPJ1

.Answer:

The answer is .31

Step-by-step explanation:

When there is a “th” at the end of the number it signals that the number is to the right of the decimal.

Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.

Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).