Evaluate 641/2 x
10-2
Give your answer as a fraction in its simplest form

Answer:

60

Step-by-step explanation:

Answer: C 165

Step-by-step explanation:

30(5)+15= 165

The total number of visitors to the website in the first 6 weeks are  12510.

What is the number?

A number is a mathematical object used to represent a quantity or value. Numbers can be positive, negative, or zero, and can be represented in various ways such as decimals, fractions, or percentages.

To find the sum of the expression \(\sum_{(n=1)} (14) 5n+3\), we can use the formula for the sum of an arithmetic sequence:

Sₙ = n/2 * [2a + (n-1)d]

where Sₙ is the sum of the first n terms of the sequence, a is the first term, d is the common difference, and n is the number of terms.

In this case, a = 5(1) + 3 = 8 (the first term of the sequence), d = 5 (the common difference), and n = 14 (the number of terms we want to sum). Plugging these values into the formula, we get:

S₁₄ = 14/2 * [2(8) + (14-1)(5)]

= 7 * [16 + 65]

= 7 * 81

= 567

Therefore, the sum of the expression  \(\sum_{(n=1)} (14) 5n+3\) is 567.

We can write a function in Python to determine the number of boxes in the top row:

python boxes_in_top_row(num_rows, bottom_row):

"""

Returns the number of boxes in the top row of a supermarket display, given the number of rows

and the number of boxes in the bottom row.

"""

total_diff = (num_rows - 1) * 7 # total difference in boxes between top row and bottom row

top_row = bottom_row - total_diff # number of boxes in top row

return top_row

Using this function, we can find the number of boxes in the top row of a display with six rows and a bottom row of 63:

boxes in top row(6, 63)

21

Therefore, there are 21 boxes in the top row.

To find the total number of boxes in the display, we can use the formula for the sum of an arithmetic series:

Sₙ = n/2 * [2a + (n-1)d]

where Sₙ is the sum of the first n terms of the sequence, a is the first term, d is the common difference, and n is the number of terms.

In this case, a = 21 (the number of boxes in the top row), d = -7 (the common difference between rows), and n = 6 (the number of rows). Plugging these values into the formula, we get:

S₆ = 6/2 * [2(21) + (6-1)(-7)]

= 3 * [42 - 35]

= 3 * 7

= 21

Therefore, the total number of boxes in the display is 21 + 28 + 35 + 42 + 49 + 56 = 231.

To find the total number of visitors to the website in the first 6 weeks, we can use a geometric sequence:

a = 418 (the number of visitors in the first week)

r = 4 (the common ratio between weeks)

n = 6 (the number of weeks we want to consider)

The formula for the sum of a geometric sequence is:

S_n = a(1 - rⁿ) / (1 - r)

Plugging in the values we have, we get:

S₆ = 418(1 - 4⁶) / (1 - 4)

= 418(1 - 4096) / (-3)

= 12510

Therefore, the total number of visitors to the website in the first 6 weeks are 12510.

To learn more about numbers click:

brainly.com/question/27894163

#SPJ1

Answer:

_ I → _ I

o → 5

I → 11

2 → 17

3 → 23

Answer:

x is less than 6

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

5 is less than 6 so therefor the answer is x=5 and 6 is more.

Answer: there are answer choices, but the expression will equal to 30x-20

Step-by-step explanation:

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

Visit here to learn more about correlation coefficient  : https://brainly.com/question/27226153
#SPJ11

Answer:

-54

Step-by-step explanation:

3 times -18 is -54

or -3 times 18 equals -54

there are different ways to answer a question, but 18 minutes is still 18 minutes, the cheese should end up with a resulting -54 degrees farenheit decrease

The classification of these numbers into smallest to greatest is -23, -√25, -1/3, 0, π, 4, √22, √400, 51.9, 2.8 * 10^3

To do this, we simply evaluate the number expressions

√22 = 4.690

π = 3.142

0 = 0

51.9 = 51.9

√400 = 20

-1/3 = -0.333

-√25 = -5

-23 = -23

4 = 4

2.8 * 10^3 = 2800

Next, we rearrange the numbers from the smallest to greatest

-23 = -23

-√25 = -5

-1/3 = -0.333

0 = 0

π = 3.142

4 = 4

√22 = 4.690

√400 = 20

51.9 = 51.9

2.8 * 10^3 = 2800

So, the classification of these numbers into smallest to greatest is -23, -√25, -1/3, 0, π, 4, √22, √400, 51.9, 2.8 * 10^3

Read more about numbers at:

https://brainly.com/question/11114137

#SPJ1

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

The p-value for the given test is approximately 0.067, rounded to two significant digits. This was calculated by finding the area to the right of z=1.5 under the standard normal distribution.

It is given that Null hypothesis: H0: μ ≤ 0, Alternative hypothesis: H1: μ > 0, Population standard deviation: σ = 1, Test statistic: z = 1.5

To find the p-value, we need to calculate the probability of observing a z-value of 1.5 or greater under the null hypothesis. Since the population follows the standard normal distribution, we can use a standard normal table or a calculator to find this probability.

Using calculator, we can find that the area to the right of z = 1.5 is approximately 0.0668 (rounded to four decimal places).

Since this is a one-tailed test with the alternative hypothesis in the right tail, the p-value is equal to the area in the right tail beyond the observed z-value. Therefore, the p-value for the test is approximately 0.067 (rounded to two significant digits).

So, the p-value for the given test is 0.067 (rounded to two significant digits).

To know more about p-value:

https://brainly.com/question/30461126

#SPJ4

There are 630 more strings of ten letters that do not include the consecutive letter stts.

Total number of combinations possible with 10 letters =2∧10

                                                                                          =1024

Calculating using inclusion method;

There are 7 possible spots for the 4 characters, from 1-4 through 7-10, and 26 options for the remaining 6 slots if we have a specific 4 character string that fits within a range of 10 characters. Then, for the double counts, we can either have the strings joined (1-7, 2-8, 3-9, and 4-10), with 23 other values, equaling 4*8=32, or the strings separated (2-5 and 6-9, 7-10, or 3-6, 7-10, equaling 6), with 22 = 4 other values, equaling 6*4 = 24, and one 10-character sequence that contained the pattern three times. STTSTTSTTS.

Number of combination containing consecutive letter stts will be

= 448 - (32 + 24) + 1

= 393.

Then,

Total Strings without the sequence stts = 1024 - 393

                                                                    = 631

Since, one is already provided in the question 631-1=630 more strings can be formed.

To learn more about combinations and arrangements visit;

https://brainly.com/question/28065038

#SPJ4

Answer:

24 units

Step-by-step explanation:

OM = ON, so

OP= 13-8

That means OP is 5.

Using the Pythagorean Theorom to find MP:

5^2+b^2=13^2

25+b^2=169

b^2=169-25

b^2=144

B=12

This means MP =12.  ML is twice as long as MP. 12x2=24

The answer is B. 24 units

The equation that describes the relationship between the time a zebra runs at a speed and the distance it covers is y = 2/3(x).

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

Assuming that the relationship between the time a zebra runs at a speed and the distance it covers is a linear one, we can use the formula for the equation of a straight line:

y = mx + b

where y is the distance covered, x is the time the zebra runs at a speed, m is the slope (i.e., the speed of the zebra), and b is the y-intercept (i.e., the distance covered when the zebra is not running).

From the table two points can be formed as (x, y) that are, (3, 2) and (6, 4)

Using these two points, we can find the slope of the line:

m = (y₂ - y₁)/(x₂ - x₁)

 = (4 - 2)/(6 - 3)

 = 2/3

Now as we have the slope m we can use it in point slope form, i.e.

y - y₁ = m(x - x₁)

Using the point (3, 2),

y - 2 = 2/3(x - 3)

y - 2 = 2/3(x) - 2

y  = 2/3(x) - 2 + 2

y  = 2/3(x)

Hence, the equation that describes the relationship between the time a zebra runs at maximum speed and the distance it covers is:

y  = 2/3(x)

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Complete question:

The relationship between the amount of time a zebra run at maximum speed in the distance it covers is shown.

Write an equation to describe this relationship.

Answer:

im pretty sure its A

Step-by-step explanation

Answer:

It's true because its a rational number.

Step-by-step explanation:

Answer:

it is false since all integers (whole numbers and zero) are rational numbers, but not all rational numbers are integers (rational numbers can be fractional). To answer this question, you need to consult the definition of rational numbers.

9514 1404 393

Answer:

  8 seconds

Step-by-step explanation:

Your answer is the time interval at which the projectile is at or above ground level.

The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.

__

Comment

We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.

Answer: -10x+38

Step-by-step explanation:

Take your given equation

-2(3x-5)+4(7-x)

Distribute the -2 and 4 into the parenthesis'

-6x+10+28-4x

Combine like terms

-10x+38

The 99% confidence interval for the population mean of seasonal pine saplings' heights is [266.98, 305.02] millimetres.

To calculate the confidence interval, we can use the formula:

sample mean ± (critical value) x (standard error)

The critical value for a 99% confidence level with 20 degrees of freedom (n-1) is 2.831. The standard error can be calculated as the population standard deviation divided by the square root of the sample size, which gives us 22 / sqrt(21) = 4.79.

Substituting these values into the formula, we get:

286 ± 2.831 x 4.79 = [266.98, 305.02]

Therefore, we can be 99% confident that the true population mean of seasonal pine saplings' heights falls within this interval.

In simpler terms, this means that if we were to take 100 random samples of 21 seasonal pine saplings and calculate the confidence interval for each sample using the same method, 99 of those intervals would contain the true population mean. This also means that there is a 1% chance that our interval does not contain the true population mean.

Learn more about pine saplings, here:

brainly.com/question/2441221

#SPJ11

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

Learn.more about consumption

https://brainly.com/question/30623688

#SPJ4

When the consumption schedule lies below the 45-degree reference line, saving what does it means?

Answer: B) Slope is 1

Step-by-step explanation:

Y² - Y¹ divide by X² - X¹

Plug in: -3 - (-4) divide by 1 - 0

             = 1 divide by 1

             = Slope is 1

x = 8

PR = 18

measure of angle PQT = 30°

Explanation:

The parallel sides of a parallelogram are congruent. SO we equate them together.

20 is parallel to 4x - 12

20 = 4x - 12

add 12 tio both sides

20 + 12 = 4x

32 = 4x

32/4 = 4x/4

x = 8

The diagonals bisect each other at the center. Thus dividing it equally.

PR is divided into two equally:

5y - 36 is congruent to y

5y - 36 = y

collect like terms:

5y - y = 36

4y = 36

4y/4 = 36/4

y = 9

PR = 5y - 36 + y

PR = 6y - 36

PR = 6(9) - 36

PR = 18

Since the diagonals bisect the angles at the 4 corners. The angles at each corner are divided into equal halves.

angle PQR is divided into two equal parts. on eo f the angle is given as 30°.

angle PQT = angle RQT

angle RQT = 30°

Hence, angle PQT is 30°

The constant of proportionality for the ratio of price to number of bouquets from the table is 3.

The constant of proportionality is the ratio of the y value to the x value. That is:

constant of proportionality(k) = y/x

In this case,

y = price

x = number of bouquets

To find the constant of proportionality for the table, just pick any corresponding number of bouquets (x) and price (y) values on the table and find the ratio. Thus:

Constant of proportionality (k) = y/x

Constant of proportionality = 9/3 = 3

Learn more about constant of proportionality on:

brainly.com/question/29213426

#SPJ1

Complete Question

See image attached

When all other factors are held constant, the effect of being married on hourly wages is represented by the coefficient on "married" (3).

Specifically, if we increase the value of the "married" dummy variable from 0 to 1 (indicating the transition from being unmarried to being married), and keep the levels of education (educ) and years of experience (exper) unchanged, the coefficient β₃ measures the average difference in hourly earnings between married individuals and unmarried individuals.

For example, if β₃ is positive and equal to 3, it means that, on average, married individuals earn $3 more per hour compared to unmarried individuals with the same education level and years of experience.

Conversely, if β₃ is negative and equal to -3, it means that, on average, married individuals earn $3 less per hour compared to unmarried individuals, again controlling for education and experience.

The coefficient β₃ captures the effect of marital status on wages, providing a quantitative estimate of the average difference in hourly earnings between married and unmarried individuals after accounting for the influence of education, experience, and other factors included in the model.

In the given model of wage determination, the coefficient on "married" (β₃) represents the impact of being married on hourly earnings, holding all other variables constant.

learn more about coefficient from given link

https://brainly.com/question/1038771

#SPJ11

When we compute the deviation of the second observation in the data set from the mean, and find that the result is a negative number, this tells us that there is good reason to use the median as opposed to the mean as a measure of central tendency.

In computing deviations, it is important to note that extremely skewed deviations can increase the normal distributions and make it difficult to use the standard deviation as a measure of central tendency.

So, when the deviation of the second observation is a negative number, the distribution will be affected and it may become better to use the median as a measure of central tendency.

Learn more about deviations here:

https://brainly.com/question/24298037

#SPJ4

Complete Question:

We compute the deviation of the second observation in the data set from the mean, and find that the result is a positive number. This tells us that:

there is a positive overall skewness in the data set.

there is good reason to use the median as opposed to the mean as a measure of central tendency.

the first deviation must also be positive.

the second observation is greater than the sample average.

The color that has the largest range is Blue and this shows that it has a larger variability.

Range is a statistical measure that describes the spread or variability of a set of data. It is calculated as the difference between the largest and smallest values in a set of data.

Therefore, a larger range indicates a larger variability of the data. This means that the data points are spread out over a wider range of values, suggesting that there is greater diversity or variation in the observations. With blue having a larger range, it therefore has more variability.

Find out more on variability at https://brainly.com/question/28084761

#SPJ1

The total number of clients with a BMI of 25.9 or higher is therefore equal to 1 * 2.6 + 3 * 2

The total amount of money she would need to give in discounts next month can be found by calculating the total number of clients with a BMI of 25.9 or higher. To calculate this, the frequencies of each BMI range need to be multiplied by the width of the corresponding bar. The total amount of money she would need to give in discounts is then equal to the total number of clients with a BMI of 25.9 or higher multiplied by $50.

Using the histogram, the number of clients in each BMI range are: 18.1-20.7 (1), 20.7-23.3 (3), 23.3-25.9 (5), 25.9-28.5 (2), 28.5-31.1 (1).

The width of each bar is: 18.1-20.7 (2.6), 20.7-23.3 (2.6), 23.3-25.9 (2.6), 25.9-28.5 (2.6), 28.5-31.1 (2.6).

The total number of clients with a BMI of 25.9 or higher is therefore equal to 1 * 2.6 + 3 * 2

Learn more about  total number here:

https://brainly.com/question/14993202

#SPJ4

Answer:No because once the guppy swam down 8 feet below the surface of the river the 8 is now negative since the surface of the ocean is 0 and 0-8=-8 and then he swam down 6 feet more so we have to subtract-8-6= -14 feet so the position of the guppy is now -14 feet below sea level.

Step-by-step explanation: