Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion. x=x-5

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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Answer:

2 and 10

Step-by-step explanation:

Answer:

65 minutes

Step-by-step explanation:

1. We have all the information we need here to set up our 'least-squares regression equation.'

Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:

b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...

Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:

a = y - bx = 70 -  0.12363(260) = 37.8562

The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!

2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.

Answer: number 2

Step-by-step explanation:

Answer:

(10x +8y) -0.35 (10x+8y)

Step-by-step explanation:

W

L=2w-3

Area=(L×w)

65=[(2w-3)×w]

65 =(2w²-3w)

65=2w²-3w

2w²-3w-65=0

by using the quadratic equation

you'll get 2 values in which one will be negative

Obviously a length can't be negative so you take the positive.

w=6.5m

L=2(6.5)-3

=10m

Answer: where is the answer choices

Step-by-step explanation:

The ball is about 170 yards away from the center of the green.

It is required to find the third side of the triangle.

From the figure,
Distance from the marker to the center of the green, a = 150,

Distance from the marker to the ball, b = 50 and

The angle between sides a and b, C = 105°

According to the Law of Cosines,

\(c^2 = a^2+b^2 - 2abcosC\)

= \((150)^2 + (50)^2-2(150)(50)cos(105) \textdegree\)

= 22500 + 2500 - 15000(-0.258)

= 25000 + 3882.28567

= 28882.28567

\(c^{2}\) = 28882.28567

c = \(\sqrt{28882.28567}\) = 169.94789 ≈ 170 yards

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Okay, here are the steps to find the total cost from the cheaper company:

Company A (cheaper):

Daily charge: £20

Cost per mile: 50p = £0.50

Matilda needs to drive 950 miles over 7 days.

So miles per day = 950/7 = 136 miles

Total daily charge = £20

Total miles cost = 136 miles * £0.50 per mile = £68

Total cost = £20 + £68 = £88

So it would cost Matilda £88 to hire a car from the cheaper company (Company A) for 950 miles over 7 days.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius of unit circle = 1

θ = 218° × π/180° = 109π/90 radians

arc length = rθ = 109π/90 ≅ 3.80 units

This question is incomplete, the complete question is;

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and preview ads before the movie starts. Many complain that the time devoted to previews is too long (The Wall Street Journal, October 12, 2012). A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes. Use that as a planning value for the standard deviation in answering the following questions. Round your answer to next whole number,

a) If we want to estimate the population mean time for previews at movie theaters with a margin of error of 75 seconds, what sample size should be used? Assume 95% confidence.

b) If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume 95% confidence.

Answer:

a) the required Sample Size is 40

b) the required Sample Size is 62

Step-by-step explanation:

Given the data in the question;

standard deviation σ = 4 minutes

a)

margin of error E = 75 seconds = ( 75 / 60 )minutes = 1.25 minutes

And 95% confidence.

Now, Critical Value of z for 0.95 confidence interval;

∝ = 1 - 0.95 = 0.05

\(Z_{\alpha /2\) = 1.96

so, sample size n will be;

n = [ \(Z_{\alpha /2\) × σ/E ]²

we substitute;

n = [ 1.96 × (4/1.25) ]²

n =  [ 1.96 × 3.2 ]²

n = [ 6.272 ]²

n = 39.338

Since we referring to a number of sample, its approximately becomes 40

Therefore, the required Sample Size is 40

b)

margin of error E = 1 minutes

And 95% confidence.

Now, Critical Value of z for 0.95 confidence interval;

∝ = 1 - 0.95 = 0.05

\(Z_{\alpha /2\) = 1.96

so, sample size n will be;

n = [ \(Z_{\alpha /2\) × σ/E ]²

we substitute;

n = [ 1.96 × (4/1) ]²

n =  [ 1.96 × 4 ]²

n = [ 7.84 ]²

n = 61.466

Since we referring to a number of sample, its approximately becomes 62

Therefore, the required Sample Size is 62

Answer:

Transversal and Consecutive

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

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▹ Answer

43

▹ Step-by-Step Explanation

3³ + 4²

= 27 + 16

= 43

Hope this helps!

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Brainliest is greatly appreciated!

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simplification of expression will be g - 2

Our expression is  g - 16/4 + 2

16/4 = 4

so we c will write it as

g - 4 + 2

which can be further simplified to

g - 2

Therefore, our simplified expression comes out to be g - 2.

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Answer:

56,601

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 in = 12 x 2.45

= 29.4cm

29.4cm

Step-by-step explanation:

The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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As per the given percentage of 20, the total number of bees is 200 and on the second day, he caught 40 unique bees so the total unique bees are 140

Percentage:

Percentage refers the amount of something is expressed as if it is a part of the total which is a hundred. and the ratio can be expressed as a fraction of 100.

Given,

Sara wants to estimate the number of bees in a beehive. She catches 100 bees from the hive and marks each one with a dye. She then lets the bees go. The next day, Sara catches 50 bees from the hive. 10 of these bees have been marked with dye.

Here we need to determine the number of bees in the beehive.

Let us consider she catches 100 bees from the hive and marks each one with a dye. And then lets the bees go.

Then the next day, she catches 50 bees from the hive. 10 of these bees have been marked with dye.

So, the percentage of the dye bees in the hive will be

P = 10/50 x 100

P = 20%

Now, let the total number of the bees be x, then the total number of the bees will be

=> 100 x 2 = 200

Therefore, the total number of bees is 200.

Now, the number of unique bees will be

Unique bees = 100 + (50 - 10)

Then, the number of unique bees = 100 + 40

Therefore, the number of unique bees is 140.

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Answer:

175

Step-by-step explanation:

7 times 25=175

Answer:

-17

Step-by-step explanation:

The constant rate of change of a line is always the SLOPE. In the equation

y = mx + b, m represents the constant rate of change.

The constant rate of change from this equation is -17 because it's the slope.

Answer: 98%

Step-by-step explanation:

\(\frac{77+65+x}{3} =80\\\frac{142+x}{3} =80\\142+x=80*3\\x=240-142=98\)

Answer:

a) $450 per week, because you have room to earn more money because the average is sales is $2397.26 per week which the commission for option one would be is $227.74 which means on average people get $ 342.74, so $450 every week is a much higher salary.

b) The differace is that option 1 has the potential to increase by you selling more you can make more but in option 2 you know you will get $450 a week every week and that you would need to sell well above average to make more than $450

Answer:

area 1

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Divide 14 by 2 to get 7, then multiply 3 by 7 to get 21