Estimate: 48 divided by 7

Answer:

(—1,—4)

Step-by-step explanation:

Attached the graph...

Answer:

x = 10

Step-by-step explanation:

A triangle's angles add up to 180 degrees, so 180-90 (the right angle) is 90 degrees. That means that

4x+6+3x+14 = 90. Then we simplify so

7x + 20 = 90. Then we can subtract 20 from each side so

7x = 70. Then, we find that

x = 10.

The measure of  given arc of circle 2.4 radians in degrees is 137.57.

According to the given question.

Arc of a circle = 2.4 radians

We have to fin dthe arc of the circle in degrees.

As,

π radians = 180 degrees

⇒1 radians = 180/π

So, to convert the radians to degrees we have to multiply the given quantity with 180/π.

Therefore, the measure of given arc of circle 2.4 radians in degrees is given by

2.4 × 180/π

= 2.4 × 180/3.14

= 0.76 × 180

= 137.57 degrees

Hence, the measure of  given arc of circle 2.4 radians in degrees is 137.57.

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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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the length of the sections will be 24 and 18 respectively.

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given, Some pair of lines in that three lines are parallel and two of them are intersecting them.

Since, these are the the section made by two parallel lines. Thus, these given section will be Proportional to each other.

Thus,

20/15 = ( 7x - 11)/(4x - 2)

4/3 = ( 7x - 11)/(4x - 2)

16x - 8 = 21x - 33

5x = 25

x = 5

therefore, the length of the sections will be 24 and 18 respectively.

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Answer:

Ratio of student who signed up for art club:

1/5

Ratio who signed other club:

4/5

Step-by-step explanation:

First find out ratio who signed up for art club

you have 16 out of 80

find the common factor: 16

16/16 = 1

80/16 = 5

so 1/5

other clubs is the rest so 5/5 - 1/5 = 4/5

please give thanks :)

Answer:

no thanks

Step-by-step explanation:

i don't wanna help u nerd

Answer:

potato

yes potato

The slope of the secant line over the interval [3, t] for the curve Q(t) = t² is given by the formula m = (t² - 9) / (t - 3).

The slope of a line is a measure of how steep the line is. It tells us how much the line is rising or falling as we move from left to right.

The secant line is a line that passes through two points on a curve. In this case, the curve is Q(t) = t².

To find the slope of the secant line over the interval [3, t], we need to find the slope of the line that passes through the points (3, 9) and (t, t²).

The slope of the line passing through two points (x1, y1) and (x2, y2) is given by the formula:

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

So, using this formula, we can find the slope of the secant line over the interval [3, t]:

m = (t² - 9) / (t - 3)

This formula gives us the exact slope of the secant line over the interval [3, t]. We can simplify it if needed, but the answer will always be in exact form.

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The correct answer is a)True  c)True The order of the cyclic group is determined by the number of elements in the group, whereas the order

a. True. If a nonempty subset H of a group G is closed under the binary operation of G, contains the identity element of G, and contains the inverse of each of its elements, then H is a subgroup of G.

c. A is true but B is false. Every cyclic group is indeed abelian, but the order of the cyclic group is not necessarily the same as the order of its generator. The order of the cyclic group is determined by the number of elements in the group, whereas the order of the generator refers to the smallest positive exponent that generates all elements of the group.

a. Zero has no inverse. In the set of real numbers under the usual multiplication operation, the element zero does not have a multiplicative inverse. Every nonzero real number has an inverse, but zero itself does not. In a group, every element should have an inverse, so the set of all real numbers under multiplication does not form a group.

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Answer:

Step-by-step explanation:

Given

See attachment for figure

\(CA = 4\)

\(CA' = 16\)

Required

The scale factor (k)

Since point C is the center of dilation, the scale factor (k) is calculated using:

\(k = \frac{CA + CA'}{CA}\)

So, we have:

\(k = \frac{4+16}{4}\)

\(k = \frac{20}{4}\)

\(k = 5\)

Answer:

The actual answer is D

Step-by-step explanation:

(5)
I got 100%

Hello!

• To solve the roots ,we must factor the number, and ,count how many times its prime factors are repeated,.

• If they are repeated at least equal to the root index, we ,can take this value out of the root,.

Let's factorize 343 below:

So, 343 can be written as 7³ = 7 * 7 * 7.

And as the index of this root is 3 we can cancel this exponent with the root, look:

I'll solve in the same way, first factorizing 1,024:

So, 1,024 can be written as 2^10.

But we can write it as 2^5 * 2^5. Doing the same step, we will have:

Let's factorize 25:

So, 25 = 5².

Look as the exponent will be canceled with the index of the root:

• (a), 7

• (b), 4

• (c) ,5

Answer:

I don't see any attachement or a picture or anything

Step-by-step explanation:

The answer is D

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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Answer:

Bill paid about 7% sales tax.

Step-by-step explanation:

First, to find the value of 1%, I divided $449.99 by 100, which gave me 4.4999. I then divided the amount paid for tax by the value of 1%. That;s $35.99 ÷ $4.4999 = 7.199439887977596. Obviously, you can't put that in your math homework, plus the question says "about," so you're going to round. Because the first number after the decimal point is less than five, you round down. Therefore, the sales tax is about 7%.

Answer:

0.2

Step-by-step explanation:

\(0.4 \div 2 = \frac{0.4}{2} = 0.2 \\ \)

Answer:

Heya!

________________________________

Step 1:

\( \frac{0.4}{2} \)

________________________________

Step 2:

\( \frac{4}{2 \times 10} \)

________________________________

step 3:

\( \frac{2}{10} \)

________________________________

Step 4:

\(0.2\)

________________________________

☝️ step by step explanation

⚡ final answer:0.2

hope it helped you:)

Answer:

equilateral

Step-by-step explanation:

The hash marks on the sides mean that all four sides are congruent.

Answer:

first one I think hope this help

1.The machine will have no value after 48 months. 2.The graph of the machine's value over time will be a straight line. 3.The slope of the graph represents the rate of depreciation per month. 4.The intercepts of the graph indicate the initial value and zero value. 5.The expression V = -750x + 28,000 represents the value of the machine. 6.The machine has no value when x = 37 according to the expression. 7.The answer obtained using the expression differs from the answer in 8.question 1 due to possible rounding errors or calculation variations.

To determine when the machine has no value, we observe the pattern of depreciation. Based on the given data, the machine depreciates by $3,500 every 6 months. Therefore, it will take 48 months (8 cycles of 6 months) for the machine to have no value.

The table shows a consistent decrease in value over time with equal intervals of 6 months. This indicates a linear relationship between the number of months and the value. A linear relationship is represented by a straight line on a graph.

The slope of the graph can be determined by calculating the change in value divided by the change in time. In this case, the slope is (-750), meaning the value decreases by $750 per month. It represents the rate of depreciation per month.

The intercepts of the graph are obtained by determining the value of the machine at the start (initial value intercept) and when it reaches zero (zero value intercept). The initial value intercept is $28,000, which represents the starting value of the machine. The zero value intercept occurs when the machine has no value.

The expression V = -750x + 28,000 represents the value of the machine. The coefficient of x (-750) represents the rate of depreciation per month, while the constant term (28,000) represents the initial value.

Using the expression, when x = 37, the machine has no value. This differs from the answer in question 1 (48 months). The discrepancy could be due to rounding errors or variations in the method used to calculate the exact point at which the value reaches zero.

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a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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A large t-statistic indicates a greater difference between the sample means and provides stronger evidence for a significant difference between the populations.

The t-statistic is a measure of the difference between two sample means relative to the variability within the samples. When the population means are different, the difference between the sample means will tend to be larger, which will result in a larger numerator in the t-statistic formula. The larger the difference between the sample means, the greater the evidence for a difference between the populations. In contrast, if the population means are similar, the difference between the sample means will be smaller, resulting in a smaller numerator and a weaker test of significance.

The denominator of the t-statistic formula is the standard error of the mean, which measures the variability of sample means around the population mean. If the sample size is large enough, the standard error of the mean will be small, resulting in a smaller denominator and a larger t-statistic. Therefore, when the population means are different, a larger t-statistic would be expected due to a combination of a larger numerator and a smaller denominator.

In summary, If the population means are different, a large t-statistic would be expected.

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Answer: 3x - 2y - 6 = 0

Step-by-step explanation:

The equation would be on the line, so you would have to work it out through using x and y values.

we can replace to check

Given:

The expression is

\(\dfrac{1}{2}n-\dfrac{1}{2}\)

To find:

The factored form of given expression after factor out the coefficient of the variable term.

Solution:

We have,

\(\dfrac{1}{2}n-\dfrac{1}{2}\)

Here, the coefficient of variable n is \(\dfrac{1}{2}\).

It can be written as

\(=\dfrac{1}{2}\times n-\dfrac{1}{2}\times 1\)

Taking out \(\dfrac{1}{2}\) as common factor, we get

\(=\dfrac{1}{2}(n-1)\)

Therefore, the factored from of given expression is \(\dfrac{1}{2}(n-1)\).

Answer:

x = -9

Step-by-step explanation:

Standard equation of direct variation:

y = kx

We need to find k.

We use the given point.

When x = 3, y = 9.

9 = k * 3

k = 3

Our equation is

y = 3x

Now we find x when y = -27.

y = 3x

-27 = 3x

x = -9

Using the percentage method, we know that the original price of the TV set was $400.

Percentages are just fractions with a denominator of 100.

To show that a number is a percentage, we place the percent sign (%) next to it.

For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).

So, we know that the percentage is always out of 100.

Then we automatically know that:

100% - 15% = 85%

We know:
85% = $340

15% = ?

Now, calculate the reduced price as follows:
85/340 = 15/x

85x = 15(340)

85x = 5,100

x = 5100/85

x = $60

Original price of the TV set:

Sold cost + Reduced cost

$340 + $60

$400

Therefore, using the percentage method, we know that the original price of the TV set was $400.

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The best example of crowdsourcing among the given scenarios is option d. Creating a website where people can submit and use free of charge photos that others contribute.

Crowdsourcing refers to the practice of obtaining input, ideas, or contributions from a large group of people, typically through an online platform. In the given options, scenario d aligns most closely with the concept of crowdsourcing.

Creating a website where people can submit and use free of charge photos encourages the crowd (general public) to contribute their photos, creating a shared resource accessible to all. This exemplifies the collective effort of a large group of individuals to create a valuable resource. In contrast, options a, b, and c involve individual decisions or actions and do not involve the active participation and collaboration of a crowd.

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After translating the statement "There are nine times as many soccer fans (x) as football fans (y)" into linear equation ax+by=c form , we get x-9y=0 as the equation.

The statement "There are nine times as many soccer fans as football fans" can be translated into a mathematical equation as follows:

Let x represent the number of soccer fans and y represent the number of football fans. The statement "There are nine times as many soccer fans as football fans" means that for every one football fan, there are nine soccer fans. This can be written as:

x = 9y

x-9y = 0

This equation states that the number of soccer fans is equal to 9 times the number of football fans. In other words, for every one football fan, there are nine soccer fans.

Note that this equation does not specify a specific value for either x or y. It only relates the two variables to each other in a linear manner. To find a specific value, you would need to know the value of one of the variables and use the equation to find the value of the other.

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Answer:

4:2:3

Step-by-step explanation:

First you need to divide each number by a common factor like 2.

1. 16:8:12

Divide all numbers by two

8:4:6

Divide by two again

4:2:3

Since, you cannot simplify all of them again, the asnwer is

4:2:3

Answer:

4:2:3

Step-by-step explanation:

Blue : Green : Red

 16   :      8    :  12

  4   :       2   :    3

Step-by-step explanation:

Here, all numbers are less than 6.

The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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