a local winery bottles 14 different white wines. to help customers with their purchasing choice, the winery offers customers 5 white wine tasting samples free of charge. how many ways does a customer have to choose 5 different white wines to taste

Answer:

i think its x^3 + 12x^2 + 23x + 6

Step-by-step explanation:

i added all of that then divied it

As it is given that 5x+7.5=15

so the correct option is the third one.

Answer:

38.3 =x or x=141.8

Step-by-step explanation:

Using the law of sines

sin 27         sin x

----------- = ------------

11                   15

Using cross products

15 sin 27 = 11 sin x

15/11 sin 27 = sin x

Taking the inverse sin of each side

sin^-1 (15/11 sin 27 )= sin ^-1(sin x)

38.24883302 =  x

To the nearest tenth

38.2 =x

or

x=141.8

Answer:

38.2 degrees

Step-by-step explanation:

Use the law of sines

(sin 27)/11=(sinx)15

15sin(27)=11sin(x)

[15sin(27)]/11=sin(x)

x=arcsin[15sin(27)]/11

rounded to nearest tenth, x=38.2

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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The numbers in ordinary and standard form are :

1. 0.000174

2. 35,84,1000

3. 4.67×10⁶

The first and second number can be written by simply performing multiplication. The difference lies in the postion of zeroes. When the power is negative, the exponent will be written in denominator. Therefore, the zeroes will be placed on left. As we see, 1.74/10000

Value = 0.000174

In the second number we seee power is positive. In such casee exponent will be expanded in numerator only. Thus, multiplication will give the result and shift zero to right.

Value = 35,84,1000

The third number is to solved similar to last one. We will introduce ten and move the decimal to left in the digit. The number of digits will define the power. Value = 4.67×10⁶

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This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

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Answer: y  - 6x +46

Step-by-step explanation:

y + 4- 6(x +7)

y + 4 - 6x +42

y  - 6x +46

Answer:

I believe the answer is "D" because if last years stocks were twice the amount they are worth today, then the present value should be the investment divided by 2

Step-by-step explanation:

When there is more than two population means, which statistical analysis should be used to see the simple significant mean difference:

(b) Dependent t test

The correlated t-test is also known as the dependent t-test or paired t-test. It is conducted when two sets of data are related or dependent on each other, such as observation made before the treatment and observation made after the treatment.

To test if the means are equal for more than two groups we perform an analysis of variance test. An ANOVA test will determine if the grouping variable explains a significant portion of the variability in the dependent variable.

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Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

Answer:150

Step-by-step explanation: 250/ x = 375/225 equals 150 yards

Answer:

1 1/2

Step-by-step explanation:

6 3/4 ÷ 4 1/2

= 27/4 ÷ 9/2

= 27/4 × 2/9

= 3/2

= 1 1/2

There will be 221 highway signs on the road trip.

What is Total Length?

Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).

The total length of the road trip is 13.2 hours.

Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:

(number of signs) = (total length of road trip) / (interval between signs) + 1

Substituting the values, we get:

(number of signs) = 13.2 / 0.06 + 1

(number of signs) = 220 + 1

(number of signs) = 221

Therefore, there will be 221 highway signs on the road trip.

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Answer:

20

Step-by-step explanation:

Since the triangles are similar then the sides must be proportional

10/6 = x/12 cross multiply expressions

6x = 120 divide both sides by 6

x = 20

Answer:

The correct option is;

c. Q(5, -2), S(-3, 4)

Step-by-step explanation:

In a reflection of a preimage across the x-axis of a point with coordinates (x, y), the value and sign of the x-coordinate of the image does not change while the value of the y-coordinate of the image is the same as the value of the y-coordinate of the pre-image, but with opposite sign

Therefore, we have

The coordinate of the preimage before the reflection across the x-axis = (x, y)

The coordinate of the image after the reflection across the x-axis = (x, -y)

Therefore, for the preimage point P(5, 2) before the reflection, we have the coordinate of the image point as Q(5, -2)

Similarly, or the preimage point R(-3, -4) before the reflection, we have the coordinate of the image point as S(-3, 4).

The correct option is therefore, Q(5, -2), S(-3, 4).

The population is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater is correct.

In this situation, the population refers to the entire group of individuals that are of interest to the survey. In this case, the population is the total number of people who go to the movie theater. The sample, on the other hand, refers to a subset of the population that is actually observed and surveyed. In this case, the sample is the first 150 people who entered the theater and were asked about their favorite type of movie.

It is important to note that the sample should be representative of the population in order to draw valid conclusions from the survey. This means that the individuals in the sample should be selected in a way that reflects the characteristics of the population as a whole.

In summary, the population in this situation is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater who were asked about their favorite type of movie.

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Answer:

26

Step-by-step explanation:

the correct solution for the equation is 4.5

Answer:

x=57°

Step-by-step explanation:

the sum of the measures of the angles of a triangle add up to 180°.

it is given that there is a 33°, and a right angle which is 90°.

to find x:

x=180°-(90°+33°)

x=180°-123°

x=57°

Answer:

180° - 33° - 90° = 57°

x = 57°

If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.

Let T be the time and L be the Labor (Number of people working on the bridge).

T ∞ 1/√L  (Inverse relationship)

T = K/√L                   ----------------------------- (1)

Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.

According to the question,

Time (T) = 75 days    and

labor (L) = 09

From the equation (1), we get,

    T = K / √L

⇒ 75   = K/√9

⇒ 75= K/3

⇒ K= 225

First, the relationship between these variables is:

                       T = 225/√L

Therefore, how long it will take 25 people to do it means that we should look for the time.

                           T=225/√L

                      ⇒  T= 225/√25

                      ⇒  T= 225/5

                      ⇒  T= 45 days.

therefore, 25 people needs 45 days to complete the job.

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Answer:

345.9 is answer........

Answer:

Good night,

Step-by-step explanation:

Domain ={4,8,12,16,20}

Range={1,2,3,4}

This is NOT a function since 8 has 2 images and 12 also.

Answer:

2 on the y axis and 6 on the x axis

Step-by-step explanation:

Answer:

x intercept : (6,0)

y intercept : (0,2)

Step-by-step explanation:

Answer:

See below for proof.

\(S_{500}=125250\)

Step-by-step explanation:

Given arithmetic series:

Therefore:

\(S_n=1+2+3+...+(n-2)+(n-1)+n\)

\(S_n=1+(1+1)+(1+2)+...+(1+n-3)+(1+n-2)+(1+n-1)\)

\(S_n=1+(1+1)+(1+2(1))+...+(1+(n-3)(1))+(1+(n-2)(1))+(1+(n-1)(1))\)

Let:

Therefore:

\(S_n=a+(a+d)+(a+2d)+...+(a+(n-3)d)+(a+(n-2)d)+(a+(n-1)d)\)

Reverse the order:

\(S_n=(a+(n-1)d)+(a+(n-2)d)+(a+(n-3)d)+...+(a+2d)+(a+d)+a\)

Add the two expressions for Sₙ:

\(2S_n=(2a+(n-1)d)+(2a+(n-1)d)+(2a+(n-1)d)+...+(2a+(n-1)d)\)

Therefore, the term (2a + (n – 1)d) has been repeated n times:

\(2S_n=n(2a+(n-1)d)\)

Divide both sides by 2:

\(S_n=\dfrac{1}{2}n(2a+(n-1)d)\)

\(S_n=\dfrac{1}{2}n(a+a+(n-1)d)\)

Replace  a with  a₁  (first term) and a + (n – 1)d  with  aₙ (last term):

\(S_n=\dfrac{1}{2}n(a_1+a_n)\)

To find the sum of the series 1 + 2 + 3 + ... + 500, substitute the following values into the formula:

Therefore:

\(\implies S_{500}=\dfrac{1}{2}(500)(1+500)\)

\(\implies S_{500}=250(501)\)

\(\implies S_{500}=125250\)

Answer:

y = 35x - 517.

Step-by-step explanation:

y=35x−7

This line has a slope of 35so we can write a line parallel to it as

y - y1 = 35(x - x1) where (x1, y1) is a point on the line.

We are given this point (15, 8), so:

y - 8 = 35(x - 15)

y = 35x - 525 + 8

y = 35x - 517  is the required equation.

The probability that the daily production is less than 35.2 liters is 0.6664.

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33 liters and standard deviation of 5.6 liters.

To find the probability that the daily production is less than 35.2 liters, we need to find the z-score first. Then we can use the z-table to find the probability.

z-score:

z = (x - μ) / σ

Where,x = 35.2 μ = 33 σ = 5.6z = (35.2 - 33) / 5.6 = 0.43

Now, we need to find the area under the standard normal distribution curve to the left of the z-score of 0.43

.Using the z-table or standard normal distribution table, we can find this probability as:

P(Z < 0.43) = 0.6664

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Answer:

B*H

Step-by-step explanation:

Use the distance formula (you can look it up) and then multiply the longer side by the shorter side, thats it!