Help me this is 85 percent of my grade

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

46.74ft²

Step-by-step explanation:

A= H(b) b/2 ≈ Sum of your area

Answer: 46.74 square ft (B.)

Step-by-step explanation:

Area of a triangle = (base × height) ÷ 2

A = (11.4 × 8.2) ÷ 2

A = 46.74

I hope this helps!

Answer:

1.) Observational Study

2.) Survey

3.) Experiment

4.) Survey

Step-by-step explanation:

Observational study is a study conducted based on observations

A Survey, is an answer to a question asked that varies from people to people and their opinions.

Experiment is a research based on statistical and experimental data

Hope this helps!

Given:

The length of the arc is (1/12) x circumference of unit circle.

The objective is to find the area of the sector.

Since it is given as a unit cirle, the radius of the circle will be 1 unit.

The circumference of the circle will be,

Then, the length of the arc will be,

Now, the formula to find the area of the sector is,

On plugging the values in the above relation,

Hence, the area of the sector is 0.262 square units.

Answer:

20

Step-by-step explanation:

20 dollars plus 10% = 22

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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The converse of the statement will be : if x^2 = 100 then x = -10, which is not true.

In order to write a converse of a conditional statement "p then q",  will be "q then p" the hypothesis and conclusion interchanges.

Then the converse of the statement will be :

if x^2 = 100 then x = -10,

which is not true.

Since , x = +10, then x^2 = 100

Therefore, if x^2 = 100 then x = -10, which is not true.

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Answer:hewwo I’m in school sorry for not talking to you

Step-by-step explanation:

Answer:

The least common multiple of 3, 17, and 51 is 51

Step-by-step explanation:

The LCM is the smallest positive number that all of the numbers divide into evenly.

STEP 1: List the prime factors of each number.

STEP 2: Multiply each factor the greatest number of times it occurs in either number.

Since 3 has no factors besides 1 and 3.

3 is a prime number

Since 17 has no factors besides 1 and 17.

17 is a prime number

51 has factors of 3 and 17.

3⋅17

Multiply 3 by 17.

51

Answer:

20 m

Step-by-step explanation:

Answer:

I'm pretty positive that the answer is A

Answer:

Step-by-step explanation:

Use the figure to complete the transformations.

1. Reflect the triangle across the y-axis.

2. Reflect the image across the x-axis.

The final image is the same as what single transformation?

a translation 2 units to the left and 2 units down

a reflection across the y-axis

a 180° rotation about the origin

a clockwise rotation 90° about the origin

Answer:

Step-by-step explanation:

"To find the probability that a randomly selected point within the circle falls in the red shaded square, you can compare the areas of the circle and the square. The area of the circle is pi times the radius squared, which is pi times 8 squared, or 64pi. The area of the square is the length of one side squared, which is (4 times the square root of 2) squared, or 32. Therefore, the probability is 32/64pi, or approximately 0.159. Does that help?"

The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 324.

The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 326.   This is calculated using the 1/2-value correction (de Moivre-Laplace Approximation). The 1/2-value correction assumes the normal distribution is symmetric, with the mean in the middle of the distribution. This means that the probability of being above the mean is equal to the probability of being below the mean.  Since the airline wants to be 99% confident that all ticket holders who do show up will be able to board the plane, this means that the airline needs to sell enough tickets such that the probability of being above the mean (300 tickets sold) is 99%.   Using the 1/2-value correction, the airline needs to sell 326 tickets to achieve this confidence level.

This is calculated as follows:   P(x > 300) = 0.99  P(x < 300) = 0.01  Using the 1/2-value-correction:

P(x = 300 + 0.5) = 0.99

Therefore,   x = 300 + 0.5=>  x = 300.5 => x = 326

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The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

This triangle is a right scalene triangle.

Step-by-step explanation:

Because this triangle has a 90° angle, it is a right triangle. As all the angles are different, we can see that it is a scalene triangle as well.

Answer: Option A

Step-by-step explanation:

The t-statistic and P-value can be calculated using statistical software or a t-test calculator. Using a two-tailed t-test with a significance level of 0.05 and 8 degrees of freedom (n1 + n2 - 2), we obtain:

t = -1.4789

P-value = 0.173292

Therefore, the correct answer is A. With a t statistic of -1.4789 and a P-value of 0.173292, we fail to reject the null hypothesis that the prices have not changed significantly since the new owner took over. We cannot conclude that the prices have changed significantly.

With a T statistic of 0.7394 and a P value of 0.478505, fail to reject the no hypothesis that prices have not changed. The correct option is D.

A null hypothesis is a type of statistical hypothesis that asserts that there is no statistical significance in a given set of observations.

Using sample data, hypothesis testing is used to assess the credibility of a hypothesis.

To determine if the prices of goods at a supermarket have significantly changed since the new owner took over, we can perform a two-sample t-test with the null hypothesis being that the mean difference in prices before and after the new owner took over is zero.

Using a significance level of 0.05, the critical t-value for a two-tailed test with 9 degrees of freedom is approximately 2.306.

To calculate the t-statistic, we first need to calculate the mean and standard deviation of the differences in prices:

Mean difference = (0.30 - 0.07) / 10 = 0.023

Standard deviation = 2.967

t-statistic = (0.023 - 0) / (2.967 / sqrt(10)) = 0.7394

The calculated t-value of 0.7394 is less than the critical t-value of 2.306, and the corresponding p-value is 0.4785. This means we fail to reject the null hypothesis that the mean difference in prices is zero.

Therefore, based on the given data and using a significance level of 0.05, the correct P-value and conclusion are:

Thus, the correct option is D.

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Correct OPTIONS:

A It is snowing at a steady rate.

B It is snowing at a rate of ½ inch per hour.

C The amount of snow is proportional to the time.

D The coordinate (2, 1) indicates that it has snowed 2 inches in 1 hour

Answer:

D The coordinate (2, 1) indicates that it has snowed 2 inches in 1 hour

Step-by-step explanation:

Using the graph given, let's analyse each options provided to see which statement is ✅CORRECT or ❌ INCORRECT.

A. "It is snowing at a steady rate."

✅This is CORRECT because a straight line graph has a constant rate of change.

B. "It is snowing at a rate of ½ inch per hour."

✅This is CORRECT, because when x (time in hrs) is 1, y (snow in inches) is ½.

C. "The amount of snow is proportional to the time."

✅This is CORRECT because the line of the graph intercepts the point of origin, (0, 0).

D. "The coordinate (2, 1) indicates that it has snowed 2 inches in 1 hour"

❌This is NOT CORRECT. The coordinate (2, 1) indicates that it has snowed 1 inch in 2 hours rather.

x = 2 => time(hours)

y = 1 => snow(inches)

Applying corresponding angles, it is found that the measure of x is of x = 12.5º.

When two parallel lines are cut by a transversal, the angles that are in equivalent positions at the intersection of the two lines with the transversal are corresponding angles and have the same measure.

For this problem, the corresponding angles are given as follows:

Since the angles are corresponding, they have the same measure, and the value of x is found as follows:

5x - 10 = 3x + 15

2x = 25

x = 25/2

x = 12.5º.

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Answer: \(m\angle DE F=90^{\circ}\)

Step-by-step explanation:

The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).

The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).

Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer:

The slope is 2

Step-by-step explanation:

From the y-intercept which is 1, to get to the next point, you would go up 2 and 1 right which is 2/1, and 2/1 is technically just 2.

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The measure of m∠G  is 52.2°.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Applying the Pythagorean theorem,

GF² + HF² = HG²

GF² + 46 = 74

GF² = 74 - 46

GF² = 28

GF = √28

Now,

Applying the sin law.

Sin G / √46 = Sin F / √74 = Sin H / √28

Sin G / √46 = Sin 90 / √74 = Sin H / √28

So,

Sin G / √46 = Sin 90 / √74

Sin G / √46 = 1 / √74

Sin G = √46/√74

Sin G = 6.79 / 8.60

Sin G = 0.79

G = \(sin^{-1}\) 0.79

G = 52.18

G = 52.2°

Thus,

m ∠G = 52.2°.

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Answer:

$38.29

Step-by-step explanation:

The expression of logarithmic function, f(x) = ln (1/gᵏ) after all possible expansion is equals to the f(x) = - k × ln( g).

In mathematics, the logarithmic function is defined as inverse function to exponent function and defined as f(x) = logₐx where a is base of function. Properties of Logarithmic Functions :

We have, a natural logarithmic function, i.e., base = 10, f(x) = ln (1/gᵏ) and we have to expand it. To expand logarithms means write them as a sum or difference product of logarithms. The order to apply rules is quotient rule, product rule and then power rule. So, f(x) = ln (1/gᵏ)

applying quotient rule,

=> f(x) = ln(1) - ln( gᵏ)

Appling power rule,

=> f(x) = ln(1) - k ln( g)

Applying Zero Exponent Rule,

=> f(x) = 0 - k × ln( g)

Hence, the required expansion is f(x) = - k × ln( g).

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