Graph -8 + x = 4y - 16.

Answer:

If a = B and b = C, then

a = C

Q: (2a-b) * (a-2b)

\((2−)(−2)\)

\(2(−2)+(−2)(−)\)

\(22−4+(−2)(−)\)

\(22−4−(−2)⋅\)

\(22−4+22−⋅\)

Q: (4x - 2) * (x -4)

\((4−2)(−4)\)

\(4(−4)−2(−4)\)

\(42−16−2(−4)\)

\(42−16−2+8\)

\(42−16−2+8\)

\(42−18+8\)

\(42−18+8\)

Hope its help you !!

The standard deviation of the sample means, σx, is approximately 2.91 minutes.

a) The population mean is represented by the symbol μ and is equal to 25 minutes.

b) The population standard deviation is represented by the symbol σ and is equal to 13 minutes.

c) The sample size is represented by the symbol n and is equal to 20.

d) The mean of the sample means, also known as the sample mean of the sampling distribution, is represented by the symbol μx and is equal to the same as the population mean μ, which is 25 minutes.

e) The standard deviation of the sample means, also known as the standard error of the mean, is represented by the symbol σx and is calculated by dividing the population standard deviation σ by the square root of the sample size n:

σx = σ / √n

Substituting the given values:

σx = 13 / √20 ≈ 2.91 minutes

Therefore, the standard deviation of the sample means, σx, is approximately 2.91 minutes.

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Answer:

A- 24=80% of 30 mins

B-42=140% of 30 mins

Step-by-step explanation:

10% of 30 is 3 so 3x8=24

42/30=1.4 or 140

Answer:

\(1. \: \: \: a = \frac{5}{7} \\ 2. \: \: \: 4 \\ 3. \: \: \: 15 {x}^{2} + 60x + 135 \\ 4. \: \: \: m = {75}^{o} \\ \)

Step-by-step explanation:

\(1. \: \: 7a - 8 = 13 \\ 7a - 8 + 8 = 13 + 8 \\ 7a = 5 \\ \frac{7a}{7} = \frac{5}{7} \\ a = \frac{5}{7} \\ \)

\(2. \: \: \: 4 = 2 \times 2 \\ 8 = 2 \times 2 \times 2 \\ 4 \\ \)

\(3. \: \: \: 15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\15 (x + 3)(x + 3) \\ 15 |x(x + 3) + 3(x + 3)| \\ 15 ({x}^{2} + 3x + 3x + 9 )\\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 60x + 135 \\ \)

\(4. \: \: \: m = {75}^{o} (opposite \: angles)\)

Answer:

50.25

Step-by-step explanation:

100.50/2=50.25

Answer:

50.25

explanation:

The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

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Answer:

no, 8.33865... is not rational

Step-by-step explanation:

it's an irrational number

The vector field J.F.ds for the unit sphere is equal to 4π, which is the volume of the sphere. This is calculated using the divergence theorem, which relates the flux of a vector field over a surface to the divergence of the vector field through the interior of the surface.

The vector field J.F.ds is a measure of the volume of the unit sphere, which is equal to 4π. To calculate this, we use the divergence theorem, which states that the flux of a vector field over a closed surface can be related to the divergence of the vector field through the interior of the surface. Thus, the calculation of the vector field J.F.ds is given by the following equation: ∫∫s J.F.ds = ∫∫V ∇.F dV, where V is the volume of the unit sphere. Plugging in the vector field F and the unit sphere, we get: ∫∫s (x, y, z).(x, y, z) ds = ∫∫V ∇.(x, y, z).(x, y, z) dV = ∫∫V 3 dV = 4π. So the vector field J.F.ds of the unit sphere is equal to 4π.

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Answer:

1 / 2 - 3 / 4 = -1 / 4

...........

Answer:

-1/4, I think...

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

since it ends with a zero it is divisible by ten. If you take the 0 off of 740 then it would be 74 and 74x10=740

Hope this helps.

Answer:

Step-by-step explanation:

B i don’t know

Answer:

A

Step-by-step explanation:

Answer:

$3,500 labor and $3,500 materials

Step-by-step explanation:

furnishings + labor + materials = 10,000

furnishings = 3000

3000 + labor + materials = 10,000

labor = materials

3000 + labor + labor = 10,000

2(labor) = 7,000

labor = 7,000/2

labor = 3,500

labor = materials = 3,500

Answer:

There is sufficient evidence that the students claim is correct.

Step-by-step explanation:

From the information given:

The population proportion P = 55% = 0.55

The sample size n = 150

The sample mean x = 96

The sampling proportion from the sample mean \(\hat p = \dfrac{x}{n}\)

\(\hat p = \dfrac{96}{150}\)

\(\hat p =0.64\\\)

The null and alternative hypothesis is:

\(H_o : p = 0.55 \\ \\ H_1 : p > 0.55\)

The test statistics can be computed as follows:

\(Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}\)

\(Z = \dfrac{0.64 - 0.55}{\sqrt{\dfrac{0.55(1-0.55)}{150}}}\)

\(Z = \dfrac{0.09}{\sqrt{\dfrac{0.2475}{150}}}\)

\(Z = \dfrac{0.09}{\sqrt{0.00165}}\)

Z = 2.22

The P - value = P ( Z > 2.22)

= 1  - P( Z < 2.22)

= 1 - 0.98679

= 0.01321

Since P-value is less than the level of significance ∝ = 0.05

We reject the null hypothesis \(H_o\)

Conclusion: There is sufficient evidence that the students claim is correct.

Answer:

1. Range: take the difference between the highest and lowest values in a set of numbers. In this case it's 2 and 45.

2. Mean: Mean is the average of the numbers. This is pretty easy just add up all the numbers you see and divide by how many there are.

3. Median: The median is basically taking your numbers and organizing then. Then you go through and cross off every number until you get to the one number in the middle. If you have 1 answer, then that's your answer..But if you have two numbers in the middle add them up and divide by 2.

4. Mode: Mode is the value that appears most often. In this case it would be 16 and 3.

Larger (upper) and lower quartile: if you have a calculator this might help a lot when finding what you are looking for. But anyways this is for TI-84 plus calculator. Go to stat, press 1. edit, then enter your numbers, press start again, move right to calc, and press 1 again. Scroll down and press calculate, then scroll all the way down and find Q1 (lower) and Q3 (upper)

Step-by-step explanation:

Range: 45-2 = ? (I will let you solve this part yourself)

Mean: 5 + 16+ 45 + 12 + 11 + 9+ 16 + 21 + 2 + 3 + 8 + 3 + 7 + 2 + 5 = ? ÷ 15 (I believe that how many numbers there are, I can't tell)

Median: 2, 3, 3, 5, 7, 8, 9, 11, 12, 16, 16, 45, in this case you will be left with two numbers. So once you cross off the numbers and get to the middle remember to add together the middle numbers and divide by 2.

Mode: 16 and 3

Larger and lower quartile: Q1: 3 and Q3: 16

(if this isn't it try minx: 2 and maxx: 45)

I think they should help explain what you are doing and get you started. Sorry I couldn't be much more help. :)

Answer:

x < -17/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-46 - 8x > 22

Step 2: Solve for x

Answer: x < −17/2

Step-by-step explanation:

Let's solve your inequality step-by-step.

−46 − 8x > 22

Step 1: Simplify both sides of the inequality.

−8x − 46 > 22

Step 2: Add 46 to both sides.

−8x − 46 + 46 > 22 + 46

−8x > 68

Step 3: Divide both sides by -8.

−8x/−8 > 68/−8

x < −17/2

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

The 196 kg mass of the coconuts and the 3:5:2 ratio of the mass of the coconuts indicates that we get;

a) There are 96 medium-sized coconuts

b) There are 24 large coconuts

A ratio indicates the quantitative relationship between two quantities, which specifies the number of times a quantity can be obtained from or contains another quantity.

a) The mass of the cococniuts = 192 kg

The specified ratio of the coconuts = 3:5:2

The number of small coconuts = (3/4) × The number of medium sized coconuts

Number of large coconuts = (1/3) × The number of small coconuts

The mass of 3 medium-sized coconuts = 3 kg

The mass of 1 medium-sized coconut = 3 kg/3 = 1 kg

The ratio of the mass of the coconuts indicates that we get;

The mass of the large coconuts = (3/(3+5+2)) × 192 = 57.6 kg

Mass of the medium-sized coconut = (5/(3+5+2)) × 192 kg = 96 kg

The number of medium-sized coconuts = 96 kg/(1 kg/coconut) = 96 coconuts

The number of medium-sized coconuts = 96 coconuts

b) Number of number small coconuts = (3/4) × The number of medium sized coconuts

Therefore; The number of small coconuts = (3/4) × 96 coconuts = 72 coconuts

Number of large coconuts = (1/3) × The number of small coconuts

Therefore; Number of large coconuts = (1/3) × 72 coconuts = 24 coconuts

The number of large coconuts = 24 coconuts

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Answer and explanation

as z= 7

3z -3

3(7) -3 =21-3 =18

The p-value for the right-tailed t-test with a test statistic of 0.73 and a sample size of 39 is approximately 0.2352 (rounded to 4 decimal places).

To find the p-value for a right-tailed t-test, we need to use the t-distribution table or a calculator.

Given that the test statistic t = 0.73 and the sample size is 39, we can calculate the p-value using the t-distribution.

For a right-tailed t-test with a sample size of n = 39, the degrees of freedom are given by df = n - 1 = 39 - 1 = 38.

Since this is a right-tailed test, the p-value represents the probability of observing a t-value greater than or equal to the given test statistic.

Using a t-distribution table or a calculator, we find that the p-value for t = 0.73 with 39 degrees of freedom is approximately 0.2352.

Therefore, the p-value for the right-tailed t-test with a test statistic of 0.73 and a sample size of 39 is approximately 0.2352 (rounded to 4 decimal places).

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Answer:

The sum of the exterior angles of a decagon is 360°

The sum of the exterior angles in an any polygon = 360°

Alternate method:

Each exterior angle in a polygon : 360 ÷ number of sides

Here, decagon has 10 sides.

Then, each exterior angle: 360 ÷ 10 = 36°

Then all 10 sides together has : 36° x 10 = 360°

Step-by-step explanation:

Answer:

the mean is the average of all the numbers. first add up all numbers. then divide by how many numbers there are.

hope this helps

Answer:

19/38 can be simplified to 1/2

Step-by-step explanation:

Therefore, 65% of all nurses have a starting salary, z = invNorm(0.35) ≈ -0.3853 and z = (41861.5 - 67694) / 10333 ≈ -2.49.

b) We need to find P(X ≥ 78371.8). To do this, we can standardize the value using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. Then we can look up the probability in a standard normal distribution table or use a calculator.

\(z = (78371.8 - 67694) / 10333 \approx 1.04\)

Using a standard normal distribution table or calculator, we find that P(Z ≥ 1.04) ≈ 0.1492. Therefore, the probability that a randomly selected nurse has a starting salary of 78371.8 dollars or more is about 0.1492.

c) We need to find P(X ≤ 91407.1). Again, we can standardize the value and look up the probability in a standard normal distribution table or use a calculator.

\(z = (91407.1 - 67694) / 10333 \approx 2.30\)

Using a standard normal distribution table or calculator, we find that P(Z ≤ 2.30) ≈ 0.9893. Therefore, the probability that a randomly selected nurse has a starting salary of 91407.1 dollars or less is about 0.9893.

d) We need to find P(78371.8 ≤ X ≤ 91407.1). We can standardize the values and use a standard normal distribution table or calculator to find the probability.

z1 = (78371.8 - 67694) / 10333 ≈ 1.04

z2 = (91407.1 - 67694) / 10333 ≈ 2.30

Using a standard normal distribution table or calculator, we find that P(1.04 ≤ Z ≤ 2.30) ≈ 0.4657. Therefore, the probability that a randomly selected nurse has a starting salary between 78371.8 and 91407.1 dollars is about 0.4657.

e) We need to find P(X ≤ 41861.5). Again, we can standardize the value and use a standard normal distribution table or calculator.

z = (41861.5 - 67694) / 10333 ≈ -2.49

Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.49) ≈ 0.0062. Therefore, the probability that a randomly selected nurse has a starting salary that is at most 41861.5 dollars is about 0.0062.

f) Yes, a starting salary of 41861.5 dollars is unusually low for a randomly selected nurse. This is because the probability of getting a starting salary at or below this value is very small, as we calculated in part (e).

g) We want to find the value x such that 65% of all nurses have a starting salary greater than x. This means we need to find the 35th percentile of the distribution, which we can do using a standard normal distribution table or calculator.

z = invNorm(0.35) ≈ -0.3853

Using the formula z = (x - μ) / σ, we can solve for x:

-0.3853 = (x - 67694) / 10333

x - 67694 = -0.3853 * 10333

x ≈ 63757.72

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the answer is 20:15 simplified 4/3

therefore 4/3

To find r'(t), we simply take the derivative of each component of r(t):

r'(t) = (4, 2t)
To sketch the plane curve for t=2, we plug in t=2 into the vector equation to get:
r(2) = (3, 6)

This point represents the position vector r(2). To find the tangent vector at this point, we plug in t=2 into r'(t):
r'(2) = (4, 4)

This vector represents the tangent vector at the point (3, 6). To sketch the curve, we plot the point (3, 6) and draw the tangent vector starting at this point. We can also plot a few other points on the curve to get a sense of its shape. Overall, the curve will look like a parabola opening upwards.
I'd be happy to help you with your question.
Given the vector equation r(t) = (4t - 5, t^2 + 2), we first need to find r'(t), the derivative of r(t) with respect to t.
To find r'(t), we take the derivative of each component with respect to t:
r'(t) = (d/dt(4t - 5), d/dt(t^2 + 2)).
Taking the derivatives, we get:

r'(t) = (4, 2t).
Now, we'll find the position vector r(t) and the tangent vector r'(t) for the given value of t = 2:
r(2) = (4(2) - 5, 2^2 + 2) = (3, 6)
r'(2) = (4, 2(2)) = (4, 4)

The position vector r(2) = (3, 6) represents the point on the plane curve at t = 2, and the tangent vector r'(2) = (4, 4) indicates the direction and rate of change of the curve at that point.
To sketch the plane curve, position vector, and tangent vector, follow these steps:
1. Plot the plane curve using the given vector equation r(t) = (4t - 5, t^2 + 2).
2. Locate the point (3, 6) on the curve, which corresponds to the position vector r(2).
3. Draw the tangent vector r'(2) = (4, 4) starting at the point (3, 6).

By following these steps, you will have sketched the plane curve, position vector r(t), and tangent vector r'(t) for the given value of t = 2.

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Answer:

x+2

Step-by-step explanation:

\( \frac{x ^{2} + 4x + 4 }{x + 2} \\ \frac{(x) ^{2} + 2 \times x \times 2 + (2) ^{2} }{x + 2} \\ \ \frac{(x + 2) ^{2} }{x + 2} \\ \frac{(x + 2)(x + 2)}{x + 2} \\ x + 2\)