14 + 10y ≥ 3(y + 14)
A. y ≥ –4
B. y ≥ 4
C. y ≥ 8
D. y ≥ 6

The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is approximately 82.38%.

Assuming the sample of 30 Americans is representative of the population, we can calculate the sample proportion as the number of individuals in the sample who agree divided by the total sample size. Let's assume that the sample proportion is p'.

To calculate the probability of the proportion exceeding 35%, we need to find the z-score of the value 0.35 using the formula:

z = (p' - p) / √[p * (1 - p) / n]

where p is the population proportion (which we don't know), and n is the sample size (30 in this case). We can use p' as an estimate of p.

Once we find the z-score, we can use a standard normal distribution table or a calculator to find the probability that the z-score is greater than the value we calculated. This probability is the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%.

For example, if p' = 0.4, then the z-score is:

z = (0.4 - 0.35) /√ [0.35 * (1 - 0.35) / 30] = 1.03

Using a standard normal distribution table, we can find that the probability of a z-score being greater than 1.03 is approximately 0.8238, or about 82.38%.

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The solution to the system of given linear equations is x = 0 and y = 2.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations is given in the question, as follows:

2x + 2y = 4  .....(i)

8x - 2y = -4  .....(ii)

To eliminate y, add the two equations together:

2x + 8x = 4 - 4

10x = 0

Solve for x:

x = 0

Now that we have x, we can substitute it back into one of the original equations to find y:

2x + 2y = 4

2(0) + 2y = 4

2y = 4

y = 4/2

y = 2

Thus, the solution is x = 0 and y = 2.

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Answer:

1) 24

2) 42

3) 26

4)44

Step-by-step explanation:

1) 2(8+4) = 2*12 = 24

2) 2(15+6) = 2*21 = 42

3) 2(4+9) = 2*13 = 26

4) 2(12+10) = 2*22 = 44

Answer:

Option D. m<A = 43, m<B = 55, a = 20

Step-by-step explanation:

1. Determination of angle B.

Angle C = 82

Opposite C (c) = 29

Opposite B (b) = 24

Angle B =?

Using Sine rule, we can obtain the value of angle B as follow:

b/Sine B= c/Sine C

24/Sine B = 29/Sine 82

Cross multiply

29 × Sine B = 24 × Sine 82

Divide both side by 29

Sine B = (24 × Sine 82) /29

Sine B = 0.8195

Take the inverse of Sine.

B = Sine¯¹ (0.8195)

B = 55

2. Determination of angle A.

Angle C = 82

Angle B = 55

Angle A =?

The value of angle A can be obtained as follow:

A + B + C = 180 (sum of angle in a triangle)

A + 55 + 82 = 180

A + 137 = 180

Collect like terms

A = 180 – 137

A = 43

3. Determination of side a (Opposite A)

Angle C = 82

Opposite C (c) = 29

Angle A = 43

Opposite A (a) =?

The value 'a' can be obtained as by using sine rule as illustrated below:

a/Sine A = c/Sine C

a/Sine 43 = 29/Sine 82

Cross multiply

a × Sine 82 = 29 × Sine 43

Divide both side by Sine 82

a = (29 × Sine 43) /Sine 82

a = 20

Therefore,

m<A = 43, m<B = 55, a = 20

Answer:

The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.

Step-by-step explanation:

trust

The sum of 18.420 and 28.49, rounded to the correct number of significant figures, is 46.91.

To add the numbers 18.420 and 28.49, we align the decimal points and perform the addition. After adding the numbers, we obtain a sum of 46.910. However, we need to round the answer to the correct number of significant figures.

The rule for determining the number of significant figures in addition is to retain the same number of decimal places as the number with the fewest decimal places being added. In this case, 18.420 has three decimal places, while 28.49 has two decimal places. Therefore, we round the sum to two decimal places: 46.910 rounded to two decimal places is 46.91.

Thus, the sum of 18.420 and 28.49, rounded to the correct number of significant figures, is 46.91.

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Answer:

B. y <= 1/3 x - 4

Step-by-step explanation:

The line has y-intercept -4.

The slope is

m = rise/run = 1/3

The equation of the solid line is

y = 1/3 x - 4

Since the line is solid, we need >= or <=.

Since the shading is below the line, we use <=.

Answer: y <= 1/3 x - 4

The z-score corresponds to 0.275 is -0.63.

The specific number of skateboards corresponding to the z-score from part (a) is 20,468.

We have,

(a)

To find the z-score corresponding to a specific percentage of days, we can use the standard normal distribution table or a calculator.

In this case, we are given that 45% of the days had a production of skateboards less than the specific value.

Since the standard normal distribution is symmetrical, we can find the z-score corresponding to 45% by finding the z-score that corresponds to

(1 - 0.45) / 2 = 0.275, which is the area to the left of the z-score.

Using the standard normal distribution table or a calculator,

We find that the z-score corresponds to 0.275 is:

= -0.63.

(b)

To find the specific number of skateboards corresponding to the z-score, we can use the formula:

x = μ + zσ

where x is the specific number of skateboards, μ is the mean (20,500), z is the z-score (-0.63), and σ is the standard deviation (55).

Substituting the values.

x = 20,500 + (-0.63) x 55

x = 20,468.35

Rounding to the nearest whole number,

x = 20,468.

Therefore,

The z-score corresponds to 0.275 is -0.63.

The specific number of skateboards corresponding to the z-score from part (a) is 20,468.

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Answer:

x = 20 , ∠ A = 125°

Step-by-step explanation:

∠ A and ∠ B are alternate angles and are congruent, then

6x + 5 = 4x + 45 ( subtract 4x from both sides )

2x + 5 = 45 ( subtract 5 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Then

∠ A = 6x + 5 = 6(20) + 5 = 120 + 5 = 125°

Answer:

y =  -x + 7.

Step-by-step explanation:

General form:-

y = mx + c where m = slope. So:

y = x + 2 has a slope of 1.

The line perpendicular to it has slope -1/1 = -1

To find the required line we use the point-slope form with m = -1, x1 = 3 and y1 = 4.

y - y1 = m(x - x1)

y - 4 = -1(x - 3)

y - 4 = -x + 3

y =  -x + 7.

Answer:

y=3x+2

Step-by-step explanation:

y2 - y1 / x2 - x1

17-11 / 5-3 = 6/2 = 3

m = 3

17 = 3(5) + b

17 = 15 + b

b = 2

(please correct me if i did this wrong)

\(1.4 = 1 \frac{3}{5} \)

\(1.4 = 1 \frac{3}{5}\)

Convert the expression

\( \frac{7}{5} = \frac{1}{7} \\ \frac{}{2} \)

Simplify the expression

\( \frac{7}{5} = \frac{2}{7} \)

Cross-Multiply

\(49 = 10\)

Check the equality

\(false\)

Hey there!

1.4 = l/3.5

L/3.5 = 1.4

MULTIPLY 3.5 to BOTH SIDES

l/3.5 * 3.5 = 1.4 * 3.5

WORK IT OUT!

NEW EQUATION: l = 1.4 * 3.5

SIMPLIFY IT!

l = 4.9

Therefore, your answer should be: l = 4.9

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Given that the hypotenuse of the right triangle is as given then;

i. α = 56^o

ii. Adjacent = 2.80

iii. Opposite = 4.15

A right triangle is a type of triangle which has only one of its internal angles equal to 90^o. Thus the hypotenuse is opposite to the greatest angle, while the second long side is opposite to the greater angle, and the shortest side opposite to the measure of the least angle.

Applying the Pythagorean theorem to the triangle, we have;

i. The sum of angles in a triangle is 180^o. So that;

α + 34 + 90 = 180

α + 124 = 180

α = 56^o

ii. Let the length of the opposite side be represented by y;

   Sin θ = opposite/ hypotenuse

   Sin 34 = y/ 5

y = 5 * Sin 34

 = 2.796

The length of its opposite side is 2.80.

iii. Let the length of the adjacent side be represented by x;

Cos θ = adjacent/ hypotenuse

Cos 34 = x/ hypotenuse

            = x/ 5

x = 5 * Cos 34

  = 4.145

The length of its adjacent side is 4.15.

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The generalization that can be made from this study is that: Given the choice of a banana or an apple, twice as many shoppers will select an apple.

More of the shoppers are said to select an apple from the group of shoppers who are to but either banana or apple.

Those buying an apple are two times the people buying the banana, hence we can conclude that twice as many shoppers would choose the apple over banana.

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Answer:

The measure of a base angle of one of the triangles is 54°

Step-by-step explanation:

In the isosceles triangle, the angle between the two equal sides called the vertex angle and the other two angles are equal and called base angles

∵ The total number of degrees in the center is 360°

∵ All five vertex angles meeting at the center are congruent

→ To find the measure of each vertex divide 360° by 5

∴ The measure of each vertex = 360° ÷ 5

∴ The measure of each vertex = 72°

∵ The base angles are equal in the isosceles triangle

∵ The sum of the measures of the angles of a triangle is 180°

→ Assume that the measure of each base angle is x

∴ x + x + 72° = 180°

∴ 2x + 72° = 180°

→ Subtract 72 from both sides

∵ 2x + 72 - 72 = 180 - 72

∴ 2x = 108

→ Divide both sides by 2 to find x

∴ x = 54

∴ The measure of each base angle = 54°

∴ The measure of a base angle of one of the triangles is 54°

The length of one side of the sandbox is 7y4 - 13x3 inches. To find the length of one side of a regular pentagon, we divide the perimeter by the number of sides (pentagon has 5 sides).

The given perimeter is 35y4 - 65x3 inches. So, the length of one side is (35y4 - 65x3) / 5 = 7y4 - 13x3 inches. In a regular pentagon, all sides are equal in length, and the sum of all interior angles is 540 degrees. However, this information is not needed to determine the length of one side in this specific problem.

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QUESTION:

Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the length of one side of the sandbox?

5y – 9 inches

5\(y^{4}\) – 9\(x^{3}\) inches

7y – 13 inches

7\(y^{4}\) – 13\(x^{3}\) inches

Answer:

n is greater than - 6.

Step-by-step explanation:

4+n>-2

subtract 4 on both sides

4-4+n>-2-4

n>-6

n is greater than - 6

Answer:

D they both are correct, because it is reflected equally from both coordinates.

Step-by-step explanation:

All of these choices are true. The standard error of the mean is a measure of how much the sample mean varies from sample to sample.

. As the sample size increases, the standard error of the mean decreases. This is because larger sample sizes give us more information about the population and make our estimates more accurate. However, the standard error of the mean is not larger than the standard deviation of the population. In fact, it is typically smaller than the standard deviation of the population, which is why we use it to estimate the population mean. In conclusion, the standard error of the mean is an important concept in statistics that helps us understand the variability of sample means and how accurate our estimates of the population mean are likely to be.

The standard error of the mean is a statistical measure that tells us how much the sample mean is likely to vary from sample to sample. It is the standard deviation of the sampling distribution of the sample mean. The sampling distribution is the distribution of all possible sample means that we could obtain by taking repeated samples from the same population. The standard error of the mean is calculated by dividing the standard deviation of the population by the square root of the sample size.

One important thing to note is that the standard error of the mean decreases as the sample size increases. This is because larger sample sizes give us more information about the population and make our estimates more accurate. When the sample size is small, there is a greater chance that the sample mean will be significantly different from the population mean. However, as the sample size increases, the sample mean becomes a more accurate estimate of the population mean, and the standard error of the mean decreases.

It is also important to note that the standard error of the mean is never larger than the standard deviation of the population. The standard deviation of the population is a measure of how much the individual data points vary from the population mean. The standard error of the mean is a measure of how much the sample mean varies from sample to sample. It is typically smaller than the standard deviation of the population because the sample mean is usually closer to the population mean than any individual data point.

In conclusion, the standard error of the mean is an important concept in statistics that helps us understand the variability of sample means and how accurate our estimates of the population mean are likely to be. As the sample size increases, the standard error of the mean decreases, making our estimates more accurate. However, the standard error of the mean is never larger than the standard deviation of the population, which is a measure of the variability of individual data points.

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Answer:

16. 33° and 57°

17. 10x+20= mEBC

18. 92°

Answer:

x = 4

Step-by-step explanation:

Translate the word problem into an equation

\(\frac{80}{5x} = 4\)

Solve for x

1.) Multiply both sides by 5x

80 = 20x

2.) Divide both sides by 20

4 = x

Answer:

y=4/5x+5

Step-by-step explanation:

because this is the answer

Answer: y = 2/5x + 5

Step-by-step explanation:

m = (1-5)/(-5-5)  = -4 / 10 = -4 / 10 divided by -2 = 2/5

(0,5) is the y-intercept B = 5

Therefore, y = 2/5x + 5

Answer:

Yes it is equivilent because both equals 7x-19 :)

Step-by-step explanation:

Answer:

Not equivalent

Step-by-step explanation:

The expression 7(x−3)+2 is not equivalent to the expression 3x−19+4x.

The first expression is the result of multiplying 7 by (x-3) and then adding 2, while the second expression is the result of adding the result of 3x and -19 and 4x. These two expressions are not the same and cannot be simplified to be the same.

Answer/Step-by-step explanation:

1. Which of the following expressions represents “the difference between a number and eleven”?

Answer: n - 11

Explanation:

"11 - n": eleven minus a number

"-11 n": eleven times a number

"n + 11": the sum of a number plus eleven

2. All of the following represent the same concept except _____.

Answer: a number minus five

Explanation: The other answers represent a number + five

I hope this helps!

Answer:

x=25

Step-by-step explanation:

they are supplementary and adjacent, thus you do 4x-3+3x+8=180, simplify and get 7x+5=180, subtract 5 from 180 which is 175, then ending up with 7x=175 and 175/7 is 25.

Answer:

Step-by-step explanation:

The property of vectors that is incorrect is "Oa· (b + c) = a · b + a.c = (a + b ) + c = a +(b + c)". The correct property is "Oa· (b + c) = Oa·b + Oa·c".

The incorrect property of vectors among the given options is:

Oa·b = axb

This property is incorrect because the dot product (a·b) and cross product (axb) of two vectors are different operations with different results. The dot product is a scalar value, while the cross product is another vector that is orthogonal to the given vectors. The correct properties of vectors in your question are:

1. a x b = -b x a (cross product)
2. a · (b + c) = a · b + a · c (dot product distributive property)
3. (a + b) + c = a + (b + c) (vector addition associativity)

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Answer:

I had the same question for math high school but the answer is 1.99

Step-by-step explanation: