Perform the indicated operation. Be sure the answer is reduced.
x+1/x-8 - x/8-x =

Answer: The diagonal line would have a negative slope

Step-by-step explanation:

Answer:

The other part is 27 in. long

Step-by-step explanation:

1 ft is 12 in

2 ft are 24 in

4 ft are 48 in

48 in - 21 in = 27 in

Answer:

Part A

Green rope = 4 ft

As 1 ft = 12 in

Then 4 ft = 4 × 12 in = 48 in

Antonia cuts the green rope into 2 pieces.  One of the pieces is 21 in long.  To find the length of the unknown piece, subtract the length of the known piece from the total length:

length of unknown piece = 48 - 21

                                           = 27 in

Part B

Blue rope = 2 yd

1 yd = 36 in

Therefore, 2 yd = 2 × 36 = 72 in

Antonia wants to cut the rope into MORE than 3 pieces, and all the pieces need to be of equal length.  As the length of the rope is an even number of inches, Antonia could first cut the rope in half, so she would have 2 pieces each of 36 in in length.  Then she could cut both of those lengths in half, so she would have 4 pieces each of 18 in in length.

Step-by-step explanation:

For two triangle to be congruent,there must be any three sides or angle including congruent

Congruent triangles have three pairs of corresponding sides that are congruent, while two triangles that have three pairs of corresponding congruent angles are similar and not necessary congruent. Therefore:

Recall:

1. When the two triangles have the three pairs of corresponding angles that are congruent, they can only be said to be similar. They have the same shape but may be of different sizes.

Therefore, statement 1 is FALSE.

2. Knowing that three pairs of corresponding sides of two triangles are congruent, it is enough to prove that both triangles are congruent to each other.

Therefore, statement 2 is TRUE.

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Answer:

x = 40

Step-by-step explanation:

\((3x - 10) \degree = (2x + 30) \degree \\ (vertical \: \angle s) \\ \\ \\ 3x - 10 = 2x + 30 \\ \\ 3x - 2x = 30 + 10 \\ \\ x = 40\)

Answer:

no it is not a rational number because

Step-by-step explanation:

183 is a fraction, which can be simplified as 618 13 =61=6 . Hence, It belongs to Natural numbers , which are {1,2,3,4,5,6...............}

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the data provide convincing evidence of a difference in the proportions of teens and young adults who own an iPod or MP3

To determine if there is convincing evidence of a difference in the proportions of all teens and young adults who own an iPod or MP3 player, we can perform a hypothesis test.

Let's define the following parameters:

- p₁: Proportion of all teens who own an iPod or MP3 player.

- p₂: Proportion of all young adults who own an iPod or MP3 player.

The null hypothesis (H₀) assumes that there is no difference between the proportions:

H₀: p₁ = p₂

The alternative hypothesis (H₁) assumes that there is a difference between the proportions:

H₁: p₁ ≠ p₂

To test this hypothesis, we can use a two-proportion z-test. We calculate the test statistic using the formula:

z = ((p₁ - p₂) - 0) / √((\(\hat{p}_1\) * (1 - \(\hat{p}_1\)) / n₁) + (\(\hat{p}_2\) * (1 - \(\hat{p}_2\)) / n₂))

Where:

- \(\hat{p}_1\): Sample proportion of teens who own an iPod or MP3 player (79% or 0.79)

- \(\hat{p}_2\): Sample proportion of young adults who own an iPod or MP3 player (67% or 0.67)

- n₁: Sample size of teens (800)

- n₂: Sample size of young adults (400)

Using the given values, we can calculate the test statistic:

z = ((0.79 - 0.67) - 0) / √((0.79 * (1 - 0.79) / 800) + (0.67 * (1 - 0.67) / 400))

Calculating this yields the test statistic z = 5.525.

Next, we can determine the critical value or p-value associated with this test statistic using a significance level (α). Assuming a significance level of 0.05, for a two-tailed test, the critical values are approximately -1.96 and 1.96.

Since the calculated test statistic (5.525) is beyond the critical values of -1.96 and 1.96, we can reject the null hypothesis. There is convincing evidence to suggest that there is a difference in the proportions of all teens and young adults who own an iPod or MP3 player.

In conclusion, the data provide convincing evidence of a difference in the proportions of teens and young adults who own an iPod or MP3 player.

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The appropriate hypotheses for testing the difference in proportions of all teens and young adults who own an iPod or MP3 player are:

Null Hypothesis (H0): The proportion of teens who own an iPod or MP3 player is equal to the proportion of young adults who own an iPod or MP3 player.

Alternative Hypothesis (Ha): The proportion of teens who own an iPod or MP3 player is not equal to the proportion of young adults who own an iPod or MP3 player.

To test if there is a significant difference in the proportions of all teens and young adults who own an iPod or MP3 player, we need to set up appropriate hypotheses. Let's denote the proportion of teens who own an iPod or MP3 player as p1 and the proportion of young adults who own an iPod or MP3 player as p2.

The null hypothesis (H0) assumes that there is no difference between the proportions, so we can state it as:

H0: p1 = p2

The alternative hypothesis (Ha) assumes that there is a difference between the proportions, so we can state it as:

Ha: p1 ≠ p2

Here, p1 represents the true proportion of teens who own an iPod or MP3 player, and p2 represents the true proportion of young adults who own an iPod or MP3 player.

To test these hypotheses, we can use a significance level (α) of 0.05, which is a common choice in hypothesis testing. If the p-value (the probability of observing a test statistic as extreme as the one calculated) is less than 0.05, we reject the null hypothesis and conclude that there is a significant difference in the proportions.

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Answer:

49÷7=7-4=3

Step-by-step explanation:

The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approx b). 0.9428.

The intelligence quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. The standard deviation of the mean of a sample of 50 adults can be calculated as the population standard deviation divided by the square root of the sample size, or 15/√50 = 1.58.

Using a standard normal distribution table, the probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 can be calculated as the area under the standard normal curve between the z-scores corresponding to 98 and 103. These z-scores can be calculated using the formula z = (x - mean) / standard deviation, where x is the value of interest and mean is the population mean. The z-score for 98 is (98 - 100) / 1.58 = -1.27, and the z-score for 103 is (103 - 100) / 1.58 = 2.53.

The area under the standard normal curve between -1.27 and 2.53 can be found using a standard normal distribution table or a calculator with normal distribution functions. The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approximately 0.9228, which is closest to the answer choice b. 0.9428.

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Answer:

113/92

Step-by-step explanation:

Answer:

x=64

Step-by-step explanation:

0=1/8x-8

8=1/8x

8/1/8=1/8x/1/8

x=64

If Kelly is flying a kite to which the angle of elevation is 70 degrees. The string on the kite is 65 meters long. The kite is about 61 meters above the ground.

We can use trigonometry to solve the problem. Let's call the height of the kite above the ground "h".

Using trigonometry, we can write:

sin (70) = h / 65

Solving for h, we get:

h = 65 * sin(70)

h= 65 * 0.9397

h ≈ 61 meters

Therefore, the kite is about 61 meters above the ground.

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The expected one-period return for the asset is given by the expression 0.0675 + 0.045 + 0.03 + 0.04p + 0.04, where 'p' represents an unknown probability.

The given probability distribution represents the one-period return for an asset, with corresponding probabilities assigned to each return value. To find the expected one-period return, we need to calculate the weighted average of the returns, where the weights are the probabilities.

Let's calculate the expected one-period return step by step:

1. Multiply each return value by its corresponding probability:

  0.27 * 0.25 = 0.0675

  0.18 * 0.25 = 0.045

  0.10 * 0.30 = 0.03

  p * 0.04 = 0.04p

  0.20 * 0.20 = 0.04

2. Sum up the products calculated in step 1:

  0.0675 + 0.045 + 0.03 + 0.04p + 0.04

3. Set the sum equal to the expected one-period return, denoted as E(R):

  E(R) = 0.0675 + 0.045 + 0.03 + 0.04p + 0.04

Therefore, the expected one-period return of the asset is 0.0675 + 0.045 + 0.03 + 0.04p + 0.04.

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Answer:

$61.80

Step-by-step explanation:

you first want to find out how much one pint costs so you do 8.24/4 which is 2.06 then you multiply it by 30 to get 61.80

Answer: I believe it would cost $61.8

Step-by-step explanation:

\(\frac{4}{8.24} x \frac{30}{x}\)

8. 24 x 30 = 247.2

247.2 / 4 = 61.8

Answer:

n = 1

Step-by-step explanation:

1 x 2 = 2
2 + 1 = 3
3 < 4

hope this helps

The probability of the three independent events all occurring in three consecutive dice rolls is 1/216.

Assuming a fair six-sided die, the probability of any single roll resulting in a specific number is $1/6$. Since the events are independent, the probability of all three events occurring in three consecutive rolls is the product of the probabilities of each individual event.

Therefore, the probability of getting a specific number on three consecutive rolls is:

$P = (1/6) * (1/6) * (1/6) = 1/216$

So the probability of the three independent events all occurring in three consecutive dice rolls is 1/216.

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The standard deviation of the random variable x is option (C) 1.025

To find the standard deviation of a discrete random variable X, we need to use the formula:

σ = sqrt(Σ[(x-μ)^2 × P(X=x)])

where σ is the standard deviation, μ is the mean, x is a possible value of X, and P(X=x) is the probability of X taking the value x.

Using this formula, we can calculate the standard deviation for the given probability distribution as follows:

σ = sqrt[(1-2.5)^2 × 0.2 + (2-2.5)^2 × 0.3 + (3-2.5)^2 × 0.3 + (4-2.5)^2 × 0.2]

σ = sqrt[(-1.5)^2 × 0.2 + (-0.5)^2 × 0.3 + (0.5)^2 × 0.3 + (1.5)^2 × 0.2]

σ = sqrt[0.45 + 0.045 + 0.075 + 0.45]

σ ≈ 1.025

Therefore, the correct option is (C) 1.025

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Answer:

90 * 40 = 3600 * $30 = $108,000

Step-by-step explanation:

Answer: Whatever the original balance was + 75

Step-by-step explanation:

You never gave a concrete value of what the balance of her account was before the new deposit so it is impossible for me to tell you the exact answer, but just add $75 to whatever it was before and you will be correct!  If you tell me the original value I would be more than happy to help you further :)  Have a great rest of your day!

Answer: 5 hours

Step-by-step explanation: because 50 multiply by 5 is 250 and more 75 for radiator

Answer: This kind of property is the multiplicative property of 0.

Answer:

The answer should be muiltpication Property

Step-by-step explanation:

Since its dealing with multipication of the number 0 then its multipication property if not then it might be associative property. Let me know if this helps

2

i hope this helps

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) P = N 150000

R = 5%

T = 5 years

Plug in the values P,R & T in the  formula

I = PRT

\(I=150000*\frac{5}{100}*4\\\\= 1500 * 5 * 4\\\)

I = N 30000

b) I = N 16100

R = 7%

T = 5 years

\(PRT = I\\\\P*\frac{7}{100}*5=16100\\\\P=16100*\frac{100}{7*5}\)

P= N 46000

Answer:

\( \boxed{ \bold{ \boxed{ \sf{a. \: \: interest \: = \: N \: 30000}}}}\)

\( \boxed{ \bold{ \boxed{ \sf{b. principal \: = \: N \: 46000}}}}\)

Step-by-step explanation:

a. Given,

Principal ( P ) = N 150000

Rate ( R ) = 5 %

Time ( T ) = 4 years

Interest ( I ) = ?

Finding the Interest ( I )

\( \boxed{ \bold{ \sf{interest = \frac{principal \times time \times rate}{100} }}}\)

⇒\( \sf{interest = \frac{150000 \times 4 \times 5}{100} }\)

⇒\( \sf{interest = \frac{3000000}{100}} \)

⇒\( \sf{interest = N \: 30000}\)

Interest = N 30000

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

b. Given,

Interest ( I ) = N 16100

Time ( T ) = 5 years

Rate ( R ) = 7 %

Principal ( P ) = ?

Finding the principal

\( \boxed{ \bold{ \sf{principal = \frac{interest \times 100}{time \times rate}}}} \)

⇒\( \sf{ \frac{16100 \times 100}{5 \times 7} }\)

⇒\( \sf{ \frac{1610000}{35} }\)

⇒N \( \sf{46000}\)

Principal = N 46000

Hope I helped!

Best regards!!

Answer:

see image

Step-by-step explanation:

Answer:

The correct answer is beef

Step-by-step explanation:

I took the quiz and got it correct

Answer:

7cm

Step-by-step explanation:

One side of a square is increased by 8 cm, let us say the length got increased by 8 cm. So we have length of x + 8 cm

An adjacent side, the width, decreased by 2 cm. So we have width of x - 2cm

Perimeter of rectangle = 2(length + width)

40 = 2( (x + 8) + ( x - 2) )

40 = 2( 2x + 6)

40 = 4x + 12

28 = 4x

x = 7 cm

That is 7 cm of the length of the side of the square

Step-by-step explanation:

9x - 7 - 3x + 9 = x + 7 + 5x + 9

6x + 2 = 6x + 16

2 = 16

Since 2 = 16 is false, there exist no real solutions for x.

Final Answer: No Solution. The equation would have 0 solutions.

Steps/Explanations:

Hey there! The answer is No Solution because -7 = 7. If 7 = 7, then it would be true and have one solution, which is not the case here.

Step 1: You should cancel \(9\) on both sides.

\(9x - 7 - 3x = x + 7 + 5x\)

Step 2: Simplify \(9x - 7 - 3x\) to \(6x - 7\).

\(6x - 7 = x + 7 + 5x\)

Step 3: Simplify \(x + 7 + 5x\) to \(6x + 7\).

\(6x - 7 = 6x + 7\)

Step 4: You'll need to cancel \(6x\) on both sides.

\(- 7 = 7\)

Step 5: Since \(-7 = 7\) is false, there would be no solution.

No Solution

~I hope I helped you :)~

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps