suppose that a group contains elements of orders 1 through 10. what is the minimum possible order of the group?

The variance for the sample mean is 0.0001 cm².

To find the variance for the sample mean of 4 computer chips with a mean of 0.95 centimeters and a standard deviation of 0.02 centimeters, you can follow these steps:

1. Note the population mean (µ) = 0.95 cm and population standard deviation (σ) = 0.02 cm.
2. Identify the sample size (n) = 4.
3. Calculate the variance for the sample mean using the formula: variance of sample mean = (σ²) / n.

In this case, the variance of the sample mean is:

Variance of sample mean = (0.02 cm)² / 4 = 0.0004 cm² / 4 = 0.0001 cm².

So, the variance for the sample mean of the 4 computer chips is 0.0001 cm².

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Answer:

x=-2

Step-by-step explanation:

0=4x+8

-4x=8

x=-2

Answer:

A

B

Step-by-step explanation:

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Answer:

About .9332

Step-by-step

This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.

Answer:

B

Step-by-step explanation:

plolynomial is (x+4)(x-0)(x-1)(x-4)

or x(x-1)(x+4)(x-4)

or (x²-x)(x²-16)

or x^4-x³-16x²+16x

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Answer:

Step-by-step explanation:

\(3 \frac{2}{3} + 2.3 = \frac{11}{3} + \frac{23}{10} = \frac{110 + 69}{30} \\ \\ = \frac{179}{30} = 5 \frac{29}{30} \)

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The value of this expression is option (C) 6.

A rational number can be defined as any number which can be represented in the form of p/q where q ≠ 0. It can be made by dividing an integer by an integer.

For the given situation,

The expression is 3 2/3 + 2.33

⇒ \(3\frac{2}{3}+2.33\)

⇒ \(\frac{11}{3}+2.33\)

⇒ \(3.66+2.33\)

⇒ \(5.99\) ≈ \(6\)

Hence we can conclude that the value of this expression is option (C) 6.

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A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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Answer:

\(-15\)

Step-by-step explanation:

\(11-(-2)\\11+2\\13\)

Line KL has a range of 13.

Line JK has the same range covered as line KL.

\(-2-13\)

\(-15\)

J is located at -15.

The classification of each game as fair or not, using probabilities, is given as follows:

1. Fair.

2. Fair.

A fair game is a game in which each competitor will have the same chance of winning the game.

These changes are calculated using probabilities, which is the number of desired outcomes in the context of the experiment divided by the number of total outcomes.

The probability of two tails when two fair coins are tossed is:

p = 1/2 x 1/2 = 1/4.

The probability of one head and one tail when two fair coins are tossed is:

p = 1/2 x 1/2 = 1/4.

In game 1, the two players have the same probability of winning, hence it is a fair game.

When two dice are thrown, there are 36 possible outcomes. The number of outcomes regarding the sums are given as follows:

Same probabilities, hence game 2 is also fair.

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Answer:

C

Let's simplify the answers. Use absolute value.

| -5.1 | = 5.1 - > |5.1| = 5.1

4.7 - > |4.7| = 4.7

| -0.9 | = 0.9 - > |0.9| = 0.9

- |6.7| = -6.7 - > |-6.7| = 6.7

Now, order each from least to greatest.

0.9, 4.7, 5.1, 6.7

Which one is the smallest? 0.9

So, C is correct.

I'm sorry if I misunderstood.

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Always try your best and have a good day ;) !

On solving the provided question, we can say that in the parallel lines we have 14x +21 = 87 - 2x +> 12x = 66 =>. x = 10.5

Parallel lines in geometry are coplanar infinite lines that don't intersect anywhere. In a given three-dimensional space, parallel planes are those that never cross. Curves with a constant minimum distance between them and no points of contact or intersection are said to be parallel. Two lines that are in the same plane, equally spaced apart, and never intersect are referred to as parallel lines in geometry. Either horizontal or vertical can apply. Parallel lines can be noticed in everyday objects like railroad tracks, rows of notebooks, and pedestrian crossings.

here,

14x +21 = 87 - 2x

12x = 66

x - 22/4

x = 11/2

x = 10.5

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Answer:

a). 6:51

b). 6:30 am

c). 34 minutes

Step-by-step explanation:

a). Train leaves Westchester at 6:30.

   From the arrival - departure table in column (2),

   Arrival time of the train at middlewich = 6:51

b). Kate has to reach Southam before 9:00 am

   Therefore, time of the latest train that she can catch to get to work on time is 6:30 am

    By this train she can reach at 07:19 at Southam.

c). Duration of journey from Westchester to Eastwick = 06:34 - 06:00

                                                                                        = 00:34

                                                                                        ≈ 34 minutes

Answer: 10x^2-8x+16

Step-by-step explanation:

Use the formula (b/2)^2

then plug in values:

(-8/2)^2 = -4^2 = 16

ans: 10x^2-8x+16

hope this helps

Answer:

7/4, 9/4, 11/4, 13/4

Step-by-step explanation:

+ In an arithmetic sequence, to find the pattern you must subtract a term from the term after it to find the common difference.

3/4 subtracted from 5/4 is 2/4

1/4 subtracted from 3/4 is 2/4

+ So the common difference is 2/4 (Aka 1/2, but you want to keep the same denominator)

+ Therefore, between each new term, you add 2/4

1/4, 3/4, 5/4, 7/4, 9/4, 11/4, 13/4... and so on

Hello!

In the given figure we can see that it is a right angled triangle .

Where,

Base is 9

We have to find the value of x i.e Hypotenuse

Here we are given base and we need to find the Hypotenuse.

Also we have been given the value of theta = 45°

Using trigonometric ratio :

cos \(\theta = \dfrac{ B}{H} \)

As per the question we have hypotenuse = x

Plugging the required values,

\( \cos 45 \degree = \dfrac{9}{x} \)

\( \dfrac{1}{ \sqrt{2} } = \dfrac{9}{x} \: \: \: \: \bigg(\because \cos 45\degree = \dfrac{1}{\sqrt2} \bigg)\)

further solving by cross multiplication

\(x = 9 \sqrt{2} \)

Hence, The value of x is 9√2

Answer : Option 1

Hope it helps! :)

By solving the given equation 2x(x + 1.5) = -1 the roots of the equation are -0.5 and -1.

Given equation = 2x(x + 1.5) = -1

we can write it as = 2x²+3x=-1

                             = 2x²+3x+1 = 0

By using the factorization method, we can solve the above equation.

2x²+3x+1 = 0

2 = 1 x 2

2x² + 2x + 1x + 1 = 0

2x(x + 1) + 1(x + 1) = 0

(2x + 1)(x + 1) = 0

(2x + 1) = 0 ; (x + 1) = 0

2x = -1  ; x = -1

x = -1/2

x = -0.5

From the above analysis, the root or zeroes of the given equation is -0.5 and -1.

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the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4. To determine the minimum score needed to be in the top 7%, we need to use the properties of the normal distribution and the corresponding z-score.

First, we need to find the z-score that corresponds to the top 7%. This can be done by using the standard normal distribution table or a calculator with a normal distribution function. The z-score that corresponds to the top 7% is approximately 1.48.

Next, we can use the formula for transforming a z-score to a raw score:

raw score = z-score * standard deviation + mean    

Substituting the values given in the problem, we get:

raw score = 1.48 * 6.1 + 76.4

raw score = 85.48

Therefore, the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4.

In conclusion, the minimum score needed to be in the top 7% is 85.4. This calculation was performed by finding the z-score that corresponds to the top 7%, and then transforming the z-score to a raw score using the mean and standard deviation of the distribution.

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The net growth of of population of butterflies led to 560 butterflies.

We know that the population of butterflies is 500.

The population experiences a net growth of 12%.

The net growth can be defined as increase in number of individuals in a population .

So, the gain in the population of butterflies = 12% of 500= (12/100) × 500= 60 Butterflies

So, the new population of butterflies after the gain is 500 + 60 = 560 Butterflies.

This can be calculated by another method which is

112% of 500= (112/100)*500 = 560 butterflies

Hence, the required answer is 560 butterflies.

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Answer:

For y = kx+b, the graph of the reflected function is y = (x-b)/k

Step-by-step explanation:

Simply substitute x for y and y for x

When you have y=kx+b

Switch variables

x=ky+b

Simplify

ky=x-b

y=(x-b)/k

Answer:

\(10 - 20x + 8x = - 19x + 52 \\ 10 - 52 = 20x - 19x \\ - 42 = x\)

The value of x is approximately 7.42857. let's solve for x in the equation: 2(5 - 10x) + 8x = -19x + 52

Step 1: Distribute the 2 on the left side of the equation:

10 - 20x + 8x = -19x + 52

Step 2: Combine like terms on the left side:

-20x + 8x = -12x

Step 3: Move -19x to the left side by adding 19x to both sides of the equation:

-12x + 19x = 7x

Step 4: Now, we have:

7x = 52

Step 5: To solve for x, divide both sides by 7:

x = 52 / 7

x ≈ 7.42857 (rounded to 5 decimal places)

So, the value of x is approximately 7.42857.

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Answer:

-72

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

multiply-12 x3^2 and then add 36

Answer:

0 =0

Both sides are equal

There are infinite solutions

Step-by-step explanation:

\(2 (2k - 16) = -30 + 4k - 2\\\\\mathrm{Subtract\:the\:numbers:}\:-30-2=-32\\2\left(2k-16\right)=4k-32\\\\\mathrm{Expand\:}2\left(2k-16\right):\quad 4k-32\\\\4k-32=4k-32\\\\\mathrm{Add\:}32\mathrm{\:to\:both\:sides}\\\\4k-32+32=4k-32+32\\\\Simplify\\\\4k =4k\\\\\mathrm{Subtract\:}4k\mathrm{\:from\:both\:sides}\\\\4k-4k=4k-4k\\\\Simplify\\\\0=0\\\\\mathrm{Both\:sides\:are\:equal}\)

Answer:  The price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

Step-by-step explanation:  Given that lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50 whereas Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25.

We are to find the price per pound of apples and bananas.

The cost per pound of apples is represented by x dollars and the cost per pound of bananas is represented by y dollars.

Then, according to the given information, the system of equations describing the situation is as follows:

Multiplying equation (i) by 2, we have

and multiplying equation (ii) by 3, we have

To eliminate y, we subtract equation (iv) from equation (iii) and we arrive at

From equation (i), we get

Thus, the price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

Answer:Bro the answer is price per pound of apples is $1.25

and the price per pound of bannanas is $0.75

Answer:

b

Step-by-step explanation:

area of triangle = 1/2 x c x d =cd/2

area of semicircle = 1/2 x π x r^2 = 1/2 x π x (a/2)^2 = 1/2 x π x a^2/4 =πa^2/8

area of shape = area of triangle + area of semicircle

Number of remaining rods can she choose as the fourth rod is 10

For the rods to form a quadrilateral with positive area, the fourth rod must satisfy the triangle inequality. That is, the sum of the lengths of any two sides of the quadrilateral must be greater than the length of the remaining side.

Let's start by looking at the rod with length 3 cm. The only other rod that can be paired with it to form a triangle is the rod with length 7 cm, since all the other rods are either shorter or longer than 4 cm. Similarly, the only other rod that can be paired with the rod with length 15 cm is the rod with length 7 cm.

Therefore, to form a quadrilateral with positive area, Joy must choose a rod that is longer than 7 cm but shorter than 18 cm (since the sum of 7 cm and 15 cm is 22 cm). There are 10 rods that satisfy this condition: 8 cm, 9 cm, 10 cm, 11 cm, 12 cm, 13 cm, 14 cm, 16 cm, 17 cm, and 18 cm.

So Joy can choose 10 rods as the fourth rod to form a quadrilateral with positive area.

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The given question is incomplete, the complete question is:

Joy has 30 thin rods, one each of every integer length from 1 cm through 30 cm. She places the rods with lengths 3 cm, 7 cm, and 15 cm on a table. She then wants to choose a fourth rod that she can put with these three to form a quadrilateral with positive area. How many of the remaining rods can she choose as the fourth rod?

Answer:

16/81

Step-by-step explanation:

Given

Probability of blue (1st time)

Probability of blue (2nd time)

Probability of blue (both times)