why is 1.5 + 2 + 3 = 5 + (2 + 3) false ?

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \(\frac{\sqrt{3} }{2}\), thus

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{BD}{BC}\) = \(\frac{BD}{12}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2BD = 12\(\sqrt{3}\) ( divide both sides by 2 )

BD = 6\(\sqrt{3}\)

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

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \(\frac{1}{\sqrt{3} }\) , thus

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{AD}{BD}\) = \(\frac{AD}{6\sqrt{3} }\) = \(\frac{1}{\sqrt{3} }\) ( cross- multiply )

\(\sqrt{3}\) AD = 6\(\sqrt{3}\) ( divide both sides by \(\sqrt{3}\) )

AD = 6 → B

The length of AD is 6 units.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations.

In ΔBDC

sin 60 = P/ H

√3 /2 = P/ 12

P = 6√3

and, In ΔBDA

tan 30 = P/B

1/ √3 =  6√3/ B

B= 6

Hence, the length of AD is 6 units.

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Answer:

The answer is yes, because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

Step-by-step explanation:

Step 1:2⋅10⋅10⋅10⋅10⋅10⋅10 = 20⋅10⋅10⋅10⋅10⋅10 = 200⋅10⋅10⋅10⋅10 = 2,000⋅10⋅10⋅10 = 20,000⋅10⋅10 = 200,000⋅10 = 2,000,000​Step 2:Because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

Answer:

5^3 = 125^3

Step-by-step explanation:

5x5x5

Answer:

5³=125

Step-by-step explanation:

5x5x5

=5³

=125

The number of participants  with df between = 2 and df within = 30 is 33.

The researcher reported an F-ratio for an independent-measures ANOVA with df between = 2 and df within = 30.

1. To find the number of treatment conditions compared in the experiment, you can use the formula:

Number of treatment conditions = dfbetween + 1

In this case, it would be:

Number of treatment conditions = 2 + 1 = 3

So, there were 3 treatment conditions compared in the experiment.

2. To find the number of subjects who participated in the experiment, you can use the formula:

Total number of subjects = dfwithin + dfbetween + 1

In this case, it would be:

Total number of subjects = 30 + 2 + 1 = 33

Therefore, 33 subjects participated in the experiment.

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Answer:

0/4

Step-by-step explanation:

m = slope

m = rise/run

m = 2 - 2/ -1 - 4= 0/4

(That' the best I can do looks wise.)

Answer:

x = 2; y = 10

Step-by-step explanation:

y = 5x

2x + 3y = 34

You have a system of equations. Since the first equation is already solved for y, we can easily use the substitution method. Substitute 5x for y in the second equation.

2x + 3y = 34

2x + 3(5x) = 34

2x + 15x = 34

17x = 34

x = 2

Now substitute 2 for x in the first equation.

y = 5x

y = 5(2)

y = 10

Solution: x = 2; y = 10

Answer:

Mr. Reed still needs to run 7 5/12 miles to reach his Step-by-step explanation:

2 3/4 and 2 1/3 need to be converted to a common denominator of 12:

2 9/12 and 2 4/12

Then we need to convert the original 12 1/2:

12 6/12

Add the miles he's already run:

2 9/12 + 2 4/12 = 5 1/12

Subtract the total amount run from the total goal:

12 6/12 - 5 1/12 = 7 5/12

Therefore, he still needs to run 7 5/12 miles to meet his total 12 1/2 (or 12 6/12) miles goal.

Answer:

x = 8

Step-by-step explanation:

x + 4 = 12

Subtract 4 from both sides

x = 8

Let's check

8 + 4 = 12

12 = 12

So, x = 8 is correct!

If you can, please give me a Brainliest, thank you!

Answer:

Well i think that is true. and the mystery number i believe is 11

Step-by-step explanation:

Well, first subtract 5 from 27, you get 22. Then divide that by two (because that is half). And you get 11.

11 · 11 = 22

22 + 5 = 27

Really hope this helps!

Answer:

x \(\leq\) 11

Step-by-step explanation:

The phrase "at most" is telling us that we have an inequality where the answer will be less than or equal to 27. If we let x be our missing number:

2x + 5 \(\leq\) 27

2x \(\leq\) 22

x \(\leq\) 11

Answer: 2,520 distinct permutations can be formed from all of the letters of the word Houston.

Answer:

a = 50°

b = 130°

c = 50°

d = 50°

e = 130°

f = 130°

g = 50°

Answered by GAUTHMATH

Answer:

10

Step-by-step explanation:

The likelihood of at least 12% of the sample being left-handed is approximately 0.007 or 0.7%.

Let X be the number of left-handed people in a sample of 800 individuals. Since the probability of a person being left-handed is 0.1, the probability of a person being right-handed is 0.9. Then, X follows a binomial distribution with n = 800 and p = 0.1.

P(X ≥ 0.12*800) = P(X ≥ 96)

where 96 is the smallest integer greater than or equal to 0.12*800.

\(P(X > =96)-P(X < 96)=1-[K=0 to 95](800 CHOOSE )(0.1^{k} (0.9)^{2} (800-k)\)

This is the complement of the probability of getting less than 96 left-handed people in the sample. Using a calculator or statistical software, we can find that:

P(X ≥ 96) ≈ 0.007

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Answer:73

Step-by-step explanation:

if QRST is indeed a quadrilateral, then, Check the picture below.

Answer: No it is not proportional

All direct proportion equations are in the form y = kx, for some fixed number k.

If we had y = 17x, without the 2 at the end, then it would be in the form y = kx with k = 17. In other words, y = 17x is a direct proportion equation.

The 2 at the end is why we don't have a direct proportion equation. The y intercept must be 0. All direct proportion equations go through the origin.

Answer:

A) 143

B) 13.79

C) 14

Step-by-step explanation:

Frances can complete 91 oil changes in 7 days.

In 1 day, Frances can complete 91/7 = 13 oil changes.

In 11 days, Frances can complete 13 × 11 = 143 oil changes.

At the market, 5 light bulbs cost $9.85.

1 light bulb costs 9.85/5 =  $1.97.

7 light bulbs cost 1.97 × 7 = $13.79.

Henry can read 5.25 pages in 3 hours.

Henry can read 5.25/3 = 1.75 pages in 1 hour.

In 8 hours, Henry can read 1.75 × 8 = 14 pages.

Answer 41

Step-by-step explanation:

If you need me to show you how just comment

Answer:

73

41

always

Step-by-step explanation:

Just completed it

Problem 1:

1) Simplify 1/3p to p/3.

-p/3 = 7

2) Multiply both sides by 3.

-p = 7 x 3

3) Simplify 7 x 3 to 21.

-p = 21

4) Multiply both sides by -1.

p = -21

Problem 2:

1) Simplify 4/5x to 4x/5.

48 = 4x/5

2) Multiply both sides by 5.

48 x 5 = 4x

3) Simplify 48 x 5 to 240.

240 = 4x

4) Divide both sides by 4.

240/4 = x

5) Simplify 240/4 to 60.

60 = x

6) Switch sides.

x = 60

Thanks,

Eddie E.

Answer:

a) p= -21

b) x= 60

Step-by-step explanation:

A) -1/3p=7

   /-1/3.  /1/3

    p=7*3/-1

   p= -21

B) 48=4/5x

   /4/5.  /4/5

   48*5/4=x

240/4=x

60=x

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

Given points

Slope-intercept form

Slope of the line is

The y-intercept is:

So the line is:

Answer:

y = -2/3 - 8/3a

Step-by-step explanation:

Find the slope using [ y2-y1/x2-x1 ]

6a-2a/-5a-a

4a/-6a

-2/3

Find the y-intercept.

y = mx + b

y = -2/3x + b

2a = -2/3(a) + b

-8/3a = b

y = -2/3 - 8/3a

Best of Luck!

Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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1. (a) 50% of the data set is greater than 16.

(b) 68.26% of the data set falls between 10 and 22.

(c) 2.28% of the data set is greater than 28.

(d) 0.62% of the data set is less than 1.

(e) 66.87% of the data set falls between 4 and 19.

(f) 15.25% of the data set falls between 22 and 31.

2. the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.

3. approximately 2.28% of the bottles would be expected to have less than 58 ounces.

(a) Since the variable is normally distributed with a mean of 16 and a standard deviation of 6, we can use the Z-score formula:

Z = (X - μ) / σ

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

X = 16, μ = 16, and σ = 6.

Z = (16 - 16) / 6 = 0

The Z-score of 0 corresponds to the mean of the distribution. To find the area to the right of 16, we can look up the Z-score of 0 in the standard normal distribution table, which gives us a value of 0.5000. However, since we want the area to the right, we subtract this value from 1:

1 - 0.5000 = 0.5000

Therefore, 50% of the data set is greater than 16.

(b) To find the percent of the data set that falls between 10 and 22, we can calculate the area under the normal distribution curve between these two values.

Z₁ = (10 - 16) / 6 = -1.00

Z₂ = (22 - 16) / 6 = 1.00

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -1.00 is 0.1587 and the area to the left of Z = 1.00 is 0.8413. To find the area between these two Z-scores, we subtract the smaller area from the larger area:

0.8413 - 0.1587 = 0.6826

Therefore, 68.26% of the data set falls between 10 and 22.

(c) To find the percent of the data set that is greater than 28

Z = (28 - 16) / 6 = 2.00

Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = 2.00 is 0.9772. Since we want the area to the right, we subtract this value from 1:

1 - 0.9772 = 0.0228

Therefore, 2.28% of the data set is greater than 28.

(d) To find the percent of the data set that is less than 1

Z = (1 - 16) / 6 = -2.50

Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = -2.50 is 0.0062. Therefore, 0.62% of the data set is less than 1.

(e) To find the percent of the data set that falls between 4 and 19

Z₁ = (4 - 16) / 6 = -2.00

Z₂ = (19 - 16) / 6 = 0.50

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -2.00 is 0.0228 and the area to the left of Z = 0.50 is 0.6915. Subtracting the smaller area from the larger area:

0.6915 - 0.0228 = 0.6687

Therefore, 66.87% of the data set falls between 4 and 19.

(f) To find the percent of the data set that falls between 22 and 31

Z₁ = (22 - 16) / 6 = 1.00

Z₂ = (31 - 16) / 6 = 2.50

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = 1.00 is 0.8413 and the area to the left of Z = 2.50 is 0.9938. Subtracting the smaller area from the larger area:

0.9938 - 0.8413 = 0.1525

Therefore, 15.25% of the data set falls between 22 and 31.

2. For the weights of Siamese cats, which are normally distributed with a mean of 6.4 pounds and a standard deviation of 0.8 pounds, we want to find the number of cats that have weights between 5.2 and 7.6 pounds.

Z₁ = (5.2 - 6.4) / 0.8 = -1.5

Z₂ = (7.6 - 6.4) / 0.8 = 1.5

The area to the left of Z = -1.5 is 0.0668, and the area to the left of Z = 1.5 is 0.9332. To find the area between these two Z-scores, we subtract the smaller area from the larger area:

0.9332 - 0.0668 = 0.8664

This means that 86.64% of Siamese cats are expected to have weights between 5.2 and 7.6 pounds.

To find the number of cats in a sample of 128 cats, we can multiply the percent by the total number of cats:

0.8664 * 128 = 110.87

Rounding to the nearest whole number, the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.

3. For one quart bottles of apple juice with weights normally distributed with a mean of 64 ounces and a standard deviation of 3 ounces, we want to find the percent of bottles that would be expected to have less than 58 ounces.

To calculate this, we can convert the weight of 58 ounces to a Z-score:

Z = (58 - 64) / 3 = -2

Looking up the Z-score of -2 in the standard normal distribution table, we find that the area to the left of Z = -2 is 0.0228. Therefore, approximately 2.28% of the bottles would be expected to have less than 58 ounces.

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To find the reference angle of a negative angle, follow these steps:

Determine the positive equivalent: Add 360 degrees (or 2π radians) to the negative angle to find its positive equivalent. This step is necessary because reference angles are always positive.

Subtract from 180 degrees (or π radians): Once you have the positive equivalent, subtract it from 180 degrees (or π radians). This step helps us find the angle that is closest to the x-axis (or the positive x-axis) while still maintaining the same trigonometric ratios.

For example, let's say we have a negative angle of -120 degrees. To find its reference angle:

Positive equivalent: -120 + 360 = 240 degrees

Subtract from 180: 180 - 240 = -60 degrees

Therefore, the reference angle of -120 degrees is 60 degrees.

In summary, to find the reference angle of a negative angle, first, determine the positive equivalent by adding 360 degrees (or 2π radians). Then, subtract the positive equivalent from 180 degrees (or π radians) to obtain the reference angle.

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Answer:

I need a picture

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

A) The exact cost of producing the 31st food processor is $3771.70. B)  Using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.

(A) To find the exact cost of producing the 31st food processor, we substitute x = 31 into the cost function C(x) = 1900 + 60x - 0.3x^2:

C(31) = 1900 + 60(31) - 0.3(31)^2

C(31) = 1900 + 1860 - 0.3(961)

C(31) = 1900 + 1860 - 288.3

C(31) = 3771.7

Therefore, the exact cost of producing the 31st food processor is $3771.70.

(B) The marginal cost represents the rate of change of the cost function with respect to the quantity produced. Mathematically, it is the derivative of the cost function C(x).

Taking the derivative of C(x) = 1900 + 60x - 0.3x^2 with respect to x, we get:

C'(x) = 60 - 0.6x

To approximate the cost of producing the 31st food processor using the marginal cost, we evaluate C'(x) at x = 31:

C'(31) = 60 - 0.6(31)

C'(31) = 60 - 18.6

C'(31) ≈ 41.4

The marginal cost at x = 31 is approximately 41.4 dollars.

To approximate the cost, we add the marginal cost to the cost of producing the 30th food processor:

C(30) = 1900 + 60(30) - 0.3(30)^2

C(30) = 1900 + 1800 - 0.3(900)

C(30) = 3700

Approximate cost of producing the 31st food processor ≈ C(30) + C'(31)

≈ 3700 + 41.4

≈ 3741.4

Therefore, using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.

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