2 is subtracted from a number.

The random sample of \(24\) students has a mean of \(1.9149\), and the data suggests that the mean is \(20^{0}\).

x = (xi) / n is the general solution for computing the sample mean. Thus, xi refers to all X sample values, xi represents the sampling distribution, and n is the total number of specimen terms inside the data collection.

The statistic known as the sampling distribution is created by arithmetically averaging the values of the variables in a group. The sample mean is an estimate of the anticipated value if the sample is taken from probabilistic with a common expected value.

(a) Sample mean \(= (17 + 21 + 20 + 19 + 23 + 22 + 20 + 20 + 18 + 21 + 19 + 24 + 22 + 20 + 19 + 20 + 19 + 20 + 21 + 22 + 23 + 21 + 18 + 22)/24 = 20.5\)Sample standard deviation \(= 1.9149\)

Next, we can use a t-distribution with \(23\) degrees of freedom

Confidence interval \(= (20.5 - 0.8277, 20.5 + 0.8277) = (19.6723, 21.3277)\)

b) The assumption required in order to generalize the estimate to the population of students at this university is that the \(24\) students in the study formed a random sample of students at this university.

(c) There is not enough evidence to suggest that the mean wrist extension for people using the new mouse design is greater than \(20^{0}\).

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Answer:

A. 30 minutes

Step-by-step explanation:

30 minutes - strength training

90 minutes - treadmill

Answer:

The bulldozer was used for 5 hours on a day and the total charge was $3000. Which equation can be used to find the charge x, in dollars, per hour of us.

Answer:

Step-by-step explanation:

Hey Sam,  this seems like "simple" algebra, but it's a lot of implied understanding.  everyone asks about this kind of question.  it's really amazing how teacher can't seem to teach this type of problem.  It's not the students, but the teachers that fail at teaching this .   anyway...

we are given two points and asked to write an equation for the line passing through the two points.  

So, first, do you understand the idea of "an equation of a line" ?

we could use the slope-intercept formula   y=mx+b as the template for what we want to make.  But you also have to understand what that formula is explaining.  The idea or concept is important b/c so much more math is built on this.  The equation of a line.

just remember the two formula's   slope-intercept and point-slope,  they are very related.    Y=mx+b   and  Y-y1=m(x-x1)    respectively.

the given points:  

point P1 (2,7)  in the form (x1,y1)

point P2(0,-5)  in the form (x2,y2)

step one:

slope = m

m = (y2-y1) / (x2-x1)

now plug in the given points ,  to find the slope.

m = (-5-7) / (0-2)

m = -12 / -2

m = 12  / 2

m = 6

Step two:

since we've found the slope, now use the point-slope formula  with either of the given points and then solve for Y, that is, isolate Y.  This will automatically give us the slope-intercept form and the equation for the line :) I'll use P1

Y - y1 = m(x -x1)

Y - 7 = 6(x-2)

I just plugged in the point P1 for x1,y1 and m=6, now use your algebra skillz

Y - 7 = 6x -12

Y = 6x -12 +7

Y = 6x - 5

there is your answer,  and the equation for the line in slope-intercept form.  :)

Answer:

Area = 2x³ + 5x² - 1

Step-by-step explanation:

Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):

The formula for solving the area of a rectangle is given by:

Area of a rectangle = Length × Width

In order to solve for the area of a rectangle, simply multiply the given length by the width.

length (L) = (2x + 1)

width (W) = (x² + 2x - 1)

A = L × W

A = (2x + 1)(x² + 2x - 1)

Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):

A = 2x³ + 4x² - 2x + x² + 2x - 1

Combine like terms:

A = 2x³ + 5x² - 1

Therefore, the area of a rectangle is: 2x³ + 5x² - 1.

Answer:

65

Step-by-step explanation:

the square means 90 add that to 25 and subtract from 180

Answer:

x =  65

Step-by-step explanation:

The measure of the entire angle is 180°. The angle on the furthest left (with a square in it) is a right angle, meaning that it is 90°.

All three of the angles (90°, x°, 25°) all add up to the measure of the line, which is 180°. So, we can write this equation.

90 + x + 25 = 180

Subtract 90 and 25 from both sides.

90 + x + 25 - 90 - 25 = 180 - 90 - 25

x =  65

We want to know which of the given expressions will produce an answer with three significant figures. That is, it has an answer with three nonzero numbers.

Let us find the values to know

The total area of the glass used in making the rectangular prism-shaped aquarium is 60 square feet.

The rectangular crystal formed aquarium has a base area of 6 feet by 2.5 feet, which is equivalent to 15 square feet. The level of the aquarium is 4 feet. To compute the complete region of the glass utilized in making the aquarium, you really want to duplicate the base region by the level, which is 15 x 4 = 60 square feet. This implies that 60 square feet of glass were utilized in making the aquarium. The glass some portion of the aquarium incorporates the four sides and the top, while the base is normally made of an alternate material, like acrylic.

The foundation of the rectangular crystal formed aquarium is 6 feet by 2.5 feet, which gives an all out area of 15 square feet (6 x 2.5). The level of the aquarium is 4 feet. Hence, the absolute region of the glass utilized in creating the aquarium can be determined by duplicating the base region by the level: 15 x 4 = 60 square feet.

The glass a piece of the aquarium would be the four sides and the top. The base would ordinarily be made of another material, like acrylic.

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The bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner, as they need to assign them to two tables of five people each.

To determine the number of different groups of five people that can be formed, we can use the concept of combinations. In this scenario, we have 10 people who need to be divided into two groups of five people each.

The number of ways to choose five people out of 10 can be calculated using the combination formula. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where n represents the total number of people and r represents the number of people to be chosen. In this case, n = 10 and r = 5.

Plugging these values into the formula, we get:

C(10, 5) = 10! / (5! * (10 - 5)!)

= (10 * 9 * 8 * 7 * 6 * 5!) / (5! * 5 * 4 * 3 * 2 * 1)

= (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)

= 252

Therefore, the bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner. This means that there are 252 distinct ways to divide the 10 people into two tables of five people each, providing flexibility in creating diverse groups for the dinner.

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The population of Norfolk after 2 years, 3 years and 4 years was 249704, 244709 and 239815 respectively.

An equation is an expression that shows the relationship between two or more numbers and variables. Let y represent the total population of Norfolk x years after 1990. The population decrease 2% each year, hence:

y = 260000(1 - 0.02)ˣ

y = 260000(0.98)ˣ1)

y = 260000(0.98)² = 2497042

y = 260000(0.98)³ = 244709.924

y = 260000(0.98)⁴ = 239815

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Answer:

The answer to your question will be C(The introduction is effective because it presents the topic in an  engaging way and clearly establishes the main idea. because The introduction is really effective in presenting the topic in an engaging way and it clearly establishes the main idea.

Answer:

C

Step-by-step explanation:

I took that test a while ago :)

The total number of labels collected by the students in the third month is equal to 525 by the equation 3 x + x = 2100.

Let the number of labels collected in the first two months be 3 x.

We are given that the number of labels collected in the first two months was three times the number of labels collected in the third month.

So, the number of labels collected in the third month = 3 x / 3 = x

Now, we are also given that:

The total number of labels collected by the students at the school = 2100.

So, we get the equation as:

3 x + x = 2100

4 x = 2100

x = 2100 / 4

x = 525 labels.

Therefore, we get that, the total number of labels collected by the students in the third month is equal to 525 by the equation 3 x + x = 2100.

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Answer: C Distribution is symmetric

Step-by-step explanation:

Answer:

AB = 10

Step-by-step explanation:

Use the distance formula: √(12 - 18)^2 + (1 - 9)^2

√36 + 64

10

Answer:

10 units

Step-by-step explanation:

Use the distance formula. Substitute the values, (1-9)²+(12-18)²=100. The square root of 100 is 10.

The smallest number of eggs that could have been in the basket = 301

Given that the basket is filled with an unknown number of eggs.

Let N be the smallest number of eggs in the basket.

When eggs are removed 2, 3, 4, 5, or 6 at a time, one egg is left over at the end which means (N-1) is divisible by 2, 3, 4, 5, or 6, i.e. (N-1) is the least common multiple of 2, 3, 4, 5, and 6.  

Since LCM (2, 3, 4, 5, 6) = 60

So, (N-1) should be a multiple of 60, then only (N-1) will be divisible by 2, 3, 4, 5, and 6. Therefore N is of the form 60k+1 (where k is an integer).

Since no egg is left over when they are removed 7 at a time, N should be a multiple of 7. Smallest multiple of 7 that is of the form 60k+1 (where k is an integer) is 301.

Hence the smallest number of eggs that could have been in the basket = 301.

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Answer:

bbbb

Step-by-step explanation:

Answer: b

Step-by-step explanation:

The p-value for the test of the claims is roughly 0.004.

To test the claim of the bulb patron, we can use a thesis test with the following null and indispensable suppositions.

We can use the binomial distribution to calculate the probability of observing 1050 or further imperfect bulbs out of,000 if the imperfect rate is 0.01 or lower. This probability is the p-value of the test.

To calculate the p-value, we need to use the binomial distribution and find the probability of observing 1050 or further imperfect bulbs out of,000 if the imperfect rate is 0.01 or lower. Using a binomial calculator or statistical software, we can find that the probability of observing 1050 or further imperfect bulbs is roughly 0.004.

Since this p-value is lower than the significant position of 0.05, we can reject the null thesis and conclude that the imperfect rate of the bulbs is more advanced than 0.01.

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The first step to solve this exercise is to write the Mixed number as a decimal number. You can do it by dividing the numerator by the denominator of the fractional part and adding the quotient to the Whole number part, as follows:

So:

Knowing that Positive numbers are greater than zero and knowing that Negatives numbers are less than zero, we can order the given numbers from greatest to least, as you can see below:

Answer:

1/2

Step-by-step explanation:

you're trying to put the variable(y) by itself. it would be divided by 14 on both sides, which 7/14 is 1/2

The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.

Given that,

Samra's guardians made a yearly compounding investment on her behalf in a 529 college savings plan. The exponential function f(x) = 400(1. 02)ˣ can be used to describe the growth of the savings plan on an annual basis, x.

We have to find what does the y-intercept mean in the context of the issue.

We know that,

The exponential function is f(x) = 400(1. 02)ˣ.

In this instance, the significance of the y-intercept in relation to the situation at hand is that the beginning value of the investment is equal to $400.

Therefore, The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.

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Scarlett paid $27.72 in the end. Rounded to the nearest cent, this is $27.71.

What is percentage ?

Percentage can be defined as product of ratio of given value, total value and hundred.

Given,

Scarlett bought a pair of shoes online for $36. She used a coupon code to get a 30%discount.

The website also applied a 10% processing fee to the price after the discount.

The initial price of the shoes was $36. With a 30% discount, Scarlett would pay only 70% of the initial price, which is:

0.7 x $36 = $25.20

Next, the website applied a 10% processing fee to this discounted price. To calculate the processing fee, we multiply the discounted price by 10% (or 0.1):

0.1 x $25.20 = $2.52

So the total cost for Scarlett, including the processing fee, is:

$25.20 + $2.52 = $27.72

Therefore, Scarlett paid $27.72 in the end. Rounded to the nearest cent, this is $27.71.

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Answer:

Scarlett pays $27.72 in the end.

Step-by-step explanation:

First, let's calculate the amount of the discount. The discount is 30% of the original price, which can be calculated as:

So Scarlett gets a discount of $10.80.

--------------------------------------------------------

The new price after the discount is:

--------------------------------------------------------

Next, we need to apply the 10% processing fee to the new price. The processing fee is 10% of $25.20, which can be calculated as:

So the processing fee is $2.52.

--------------------------------------------------------

The final price Scarlett pays is the new price after the discount plus the processing fee:

Therefore, Scarlett pays $27.72 in the end. Since, "27.72" is already rounded to 2 decimal places (nearest cent), we do not need to round it, even if we do, we will get the same result (27.72).

________________________________________________________

Answer:

y = 4x-13

Step-by-step explanation:

The standard equation of the line is y = mx+c

m is the slope

c is the intercept

Given the equation y = 4x+2

The slope m = 4

Substitute m = 4  and the given point into the formula y = mx+c

1 = 4(4)+c

1 = 14+c

c = -13

Get the equation

Recall that y = mx+c

y = 4x + (-13)

y = 4x-13

Hence the required equation is y = 4x-13

Answer: 6/5

Step-by-step explanation:

Group the variables together on one side and the numbers together on the other.

(5/6)x = 1

x = 6/5

Answer:

x = 6/5

Step-by-step explanation:

1x/2 + 1x/3 = 4-3

3x/6 + 2x/6 = 1

5x/6 = 1

5x = 6

x = 6/5

Answer: x = 5/9

Step-by-step explanation:

Answer:

Four (4) terms.

Step-by-step explanation:

36x³ + 27x² - \(18x^{1}\) - \(9x^{0}\)

The gives four terms.

Answer:

x=-2

Step-by-step explanation:

The line is vertical and/or undefined and it passes through the point (-2,5).

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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