The average playing time of music albums in a large collection is 32 minutes, and the standard deviation is 7 minutes. (a) What value is 1 standard deviation above the mean

Answer:

still need help

Step-by-step explanation:

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Answer:

A. -30

B. 16

Step-by-step explanation:

Simply plug in the values into the equation. f(-2) evaluates to -7, and f(2) evaluates to -23. Thus, A is \(-7+(-23) = 30\), and B is \(-7 - (-23) = 16\)

We can only buy two kinds of pots, the 8-inch pots or 10-inc pots. The price of each pot multiplied by the total of pots of that kind that we bought must be equal to the total amount we spent. So we can write the first equation as shown below:

The only possible option with this answer is the last one. "x + y = 6 and 12x + 15y = 78".

Answer: When the addition of two or more equations leads to the elimination of one of the variables.

Step-by-step explanation:

When we have a system of equations, the addition method seems to be useful only when adding the equations will lead to the elimination of one of the variables:

An example of this can be, for the variables x and y:

3*x + x*y - 2*y = 3

x^2 + x*y - 2y = 42

now we can "add" (actually subtract) the equations and get (eq2 minus eq1)

(x^2 + x*y - 2y) - (3*x + x*y - 2*y ) = 42 - 3

x^2 - 3*x = 39

x^2 - 3*x - 39 = 0

And now we can solve it for x, and then find the value of y.

Answer:

umm i think A C D E ?

Step-by-step explanation:

because theyre all the same. some is just distribution. you should wait for another opinion though because im too lazy to check for B  

Answer:

39

Step-by-step explanation:

The median is the middle number

16, 23, 24, 39, 45, 78, 95

There are 7 numbers so the middle number is the 4th number

6, 23, 24,    39    , 45, 78, 95

The median is 39

Answer:

39

Step-by-step explanation:

The median is the number in the middle of a data set.

First, arrange the numbers from least to greatest.

16, 23, 24, 39, 45, 78, 95

Then, cross one number off both sides of the data set until the middle is reached.

16, 23, 24, 39, 45, 78, 95

23, 24, 39, 45, 78

24, 39, 45,

39

The median is 39

Answer:

Step-by-step explanation:

Answer:

b)  7

Step-by-step explanation:

Given equation:

\((\sin x + \csc x)^2+(\cos x + \sec x)^2=k+\tan^2 x + \cot^2 x\)

Expand the left side of the equation:

\(\implies \sin^2x+2 \sin x \csc x + \csc^2x + \cos^2 x + 2 \cos x \sec x + \sec^2 x\)

Simplify:

\(\implies \sin^2x+2 \sin x \cdot \dfrac{1}{\sin x} + \csc^2x + \cos^2 x + 2 \cos x \cdot \dfrac{1}{\cos x} + \sec^2 x\)

\(\implies \sin^2x+2 + \csc^2x + \cos^2 x + 2 + \sec^2 x\)

\(\implies \sec^2 x+\csc^2x+ \sin^2x + \cos^2 x +4\)

Use the identity:   sin²x + cos²x = 1

\(\implies \sec^2 x+ \csc^2x+1+4\)

\(\implies \sec^2 x+ \csc^2x+5\)

Use the identities:  sec²x = tan²x + 1  and  csc²x = cot²x + 1

\(\implies \tan^2x +1 +\cot^2x +1 +5\)

\(\implies 7+\tan^2x + \cot^2x\)

Therefore:

\((\sin x + \csc x)^2+(\cos x + \sec x)^2=7+\tan^2 x + \cot^2 x\)

\( \huge{ \bold{Answer -: }}\)

Option b is correct

\( \large \bf{given}\)

\( \large{ \sf{ \: (sin \: x \: + cosec \: x) {}^{2} + (cos \: x + sec \: x) {}^{2} }}\)

\(\large{ \sf{ = k + { \tan^{2} x + \cot^{2} x}}}\)

\( \large{ \sf{\implies \: sin {}^{2} x + cosec {}^{2} x + 2 + {cos}^{2} x + {sec}^{2} x + 2}}\)

\(\large{ \sf{ = k + {tan}^{2} x + {cot}^{2} x}}\)

\(\large{ \sf{ \implies \: 1 + {cosec}^{2} x - {cot}^{2} x + {sec}^{2} x - {tan}^{2} x + 4 = k}}\)

\(\large{ \sf{ \pink{ \implies \: 1 + 1 + 1 + 4 = k \implies \: k = 7}}}\)

\( \therefore \: k \: = 7\)

Answer:

289 and 324

Step-by-step explanation:

first find the root of 300 then the number you get is 17.3205.... then look in the line and look at the points in between 17 and 18 then find the square root of 17 and you'll get your answer

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer:

It is multiplied by a factor of 8

Step-by-step explanation:

Every month, the number of people who receive the email is multiplied by a factor of 8.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

Venera sent a chain letter to her friends, asking them to forward the letter to more friends.

The relationship between the elapsed time t, in months, since Venera sent the letter, and the number of people, P(t), who receive the email is modeled by the following function:

\(\rm P(t) = 2^{3t+7}\)

Every month, the number of people who receive the email is multiplied by a factor will be

For t = 2, we have

P(2) = 2³⁽²⁾⁺⁷

P(2) = 2¹³

For t = 3, we have

P(3) = 2³⁽³⁾⁺⁷

P(3) = 2¹⁶

Then the factor will be

⇒ P(3) / P(2)

⇒ 2¹⁶ / 2¹³

⇒ 2³

⇒ 8

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Answer:

B. 4.00$

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: She started with 28 pieces of candy.

Step-by-step explanation: In the beginning of the question it says that heather took 8 pieces. Then she divided the rest evenly amongst her 5 kids. Each received 4, so that make the equation 8+(5x4) which gives us 8+(20). Or 8+20 which is 28.

Answer:

She started with 28 candies.

Explanation:

Let the total amount of candies be c

Build equation:

→ remaining: c - 8

→ each gets: (c - 8)/5

Here given each gets 4 candies

So,

(c - 8)/5 = 4

c - 8 = 5(4)

c - 8 = 20

c = 20 + 8

c = 28

Answer:

85

Step-by-step explanation:8 to 1 pm is 5 hours I think XD so 5 times 3 degrees is 15 so 15 +70 is 85

Answer:

10

15

54

Step-by-step explanation:

Answer

1) y=x+4

2) y=x

3) y=-x-4

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

Length of the radius of the circle will be equal to the distance between the center of the circle and the point through which it passes.

Therefore,

Length of radius

\( = \sqrt{(1 - 7)^{2} + {( - 3 - 5)}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + ( - 8)^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units\)

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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Answer:

10

Step-by-step explanation:

4y = 2x + 12

Divide both sides by 4:

y = ½ x + 3

This has a slope of ½ and a y-intercept of 3.

The other line has the same slope and a y-intercept of 30.

So the scale factor is 10.

Part A. To determine the probability that the match ends in a draw we need to use the fact that the sum of the probabilities of all possible outcomes must add up to 1. Therefore, since the possible outcome is that the team wins the match, loses the match or ends in a draw we have that:

Now, we subtract the probability of winning and losing:

Substituting the values we get:

Solving the operations:

Therefore, the probability of a draw is 0.2.

Part B. The expected value is the product of the number of points for each outcome and the corresponding probability. Therefore, the expected value of points is:

now, we substitute the probabilities:

Solving the operations:

Therefore, the expected number of points is 1.2

Answer:

78.67

Step-by-step explanation:

The computation of the average for a student is shown below:

= Different Weights × different activities

= (3% × 81) + (9% × 90) + (9% × 92) + (17% × 86) + (17% × 71) + (17% × 93) + (28% × 62)

= 2.43 + 8.1 + 8.28 + 14.62 + 12.07 + 15.81 + 17.36

= 78.67

Hence, the average of the student is 78.67

We simply applied the above formula

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

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We are given the focus of the line = (-6, 5)

Directrix y = 3

h = -6, k = 5 and y = 3

We know that the vertex of the parabola is half way between the focus and the directrix

Therefore, vertex h, k = (0, 0)

The null hypothesis is it takes a customer less than or equal to 25 minutes to eat lunch.

The alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

What is null and alternate hypothesis?

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. The alternative hypothesis is one of the suggested hypotheses in statistical hypothesis testing.

We are given a statement,

The manager of a restaurant believes that it takes a customer less than or equal to 25 minutes to eat lunch.

According to null hypothesis, There is no difference or change

Hence the null hypothesis is, it takes a customer less than or equal to 25 minutes to eat lunch.

Where as in alternate hypothesis, There should be a difference of change

Hence the alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

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Answer:

A and C

Step-by-step explanation:

after 1/10 is 2/10 (right)

before 4/10 is 3/10 and 2/10 means to the left

Around 33.98 juniors, or 13.59% of the 250 juniors, had scores between 30 and 36.

(a) The mean is given as 27. The standard deviation is given as 3. Three standard deviations from the mean would be:

\(27 + (33) = 27 + 9 = 36\\\\27 - (33) = 27 - 9 = 18\)

So the mean is 27 and three standard deviations from the mean are 18 and 36.

b) the z-score corresponding to a raw score of 30, and then find the proportion of the distribution above that z-score. The z-score is calculated as:

\(z = (30 - 27) / 3 = 1\)

Using a standard normal distribution table or calculator, we can find that the proportion of scores above a z-score of 1 is approximately 0.1587 or 15.87%.

Therefore, approximately 15.87% of scores are greater than 30.

c)Since we know that the mean is 27 and the standard deviation is 3, we can find the z-scores corresponding to the raw scores of 30 and 36 as follows:

\(z_1 = (30 - 27) / 3 = 1\\\\z_2 = (36 - 27) / 3 = 3\)

Using a standard normal distribution table or calculator, we can find that the proportion of scores between these two z-scores is approximately 0.1359 or 13.59%.

Therefore, approximately 13.59% of the 250 juniors, or about 33.98 juniors, scored between 30 and 36.

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Answer:

m∠XYZ = 162°

Step-by-step explanation:

We can see that ∠XYZ is an exterior angle while ∠W and ∠X are the opposite interior angles.

We know that the exterior angle of triangle is equal to the sum of opposite interior angles

Given

m∠XYZ = (15x-18)°

m∠W = (5x+2)°

m∠X = (8x+4)°

Mathematically it can be written as:

m∠X+m∠W = m∠XYZ

\(8x+4+5x+2 = 15x-18\\13x+6 = 15x-18\\13x-15x = -18-6\\-2x = -24\\\frac{-2x}{-2} = \frac{-24}{-2}\\x = 12\)

Putting x=12 in m∠XYZ

\(15x-18\\=15(12)-18\\=180-18=162\)

Hence,

m∠XYZ = 162°