Shaunda measures the diameter of a ball as 12 in. How many cubic inches of air does this ball hold? Round your answer to the nearest tenth

The correct answer is (A)

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam.

Based on data from the administrator of the exam, scores are normally distributed with μ = 525.

The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 531 with a standard deviation of 113.

Below are the steps to complete the following parts:

(a) State the null and alternative hypotheses. Let μ be the mean score.

Choose the correct answer below. A. H0:μ=525, H1:μ>525 B. H0:μ<525, H1:μ>525 C. H0:μ=525, H1:μ ≠525 D. H0:μ>525, H1:μ ≠525Null hypothesis (H0):

It is a statement that represents a status quo or the commonly accepted belief.

Alternative hypothesis (H1): It is a statement that represents a challenge to the status quo or a claim that is made by the researchers.

As per the given problem, the null and alternative hypothesis will be:H0:μ=525 H1:μ > 525

Therefore, the correct answer is (A).

The level of significance (α) and degree of freedom (df) will be α = 0.05 and df = n - 1 = 1799 respectively.

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Answer: 0, pi/2

Step-by-step explanation:

I guessed tbh

The interval in which the function y = sin( x ) will strictly increase is ( 0, π/2 ).

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph is attached with the answer below in the graph we can see the maximum and minimum values of the function y = sin ( x ).

In the graph the maximum limit of the function π/2 it means that the strict increment in the graph is in the interval of ( 0, π/2 ).

Therefore, the interval in which the function y = sin( x ) will strictly increase is ( 0, π/2 ).

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The possible algebraic equations, obtained based on the algebraic expressions in the question are;

1. \(\frac{x}{8} = y\)

2. 15 - n = m

3. 25 + x = y

An algebraic expression is a collection of numbers and variables that are combined together, but without indicating the value indicated by the collection.

What is an algebraic equation?

An algebraic equation is a mathematical statement that expresses the equivalence of two expressions.

The algebraic expressions can be presented as follows;

1. Some number divided by 8

Let x represent the number divided by 8, and let y represent the result when x is divided by 8. The variables x and y can be defined based on the details in the question

The equation with x as the number and y as the result can be presented as follows;

2. n less than 15

The expression n less than 15 is; 15 - n

Let m represent the value of the expression; 15 - n, an algebraic equation based on the details is therefore;

3. 25 more than a number

Let x represent the number, we get

25 more than a number = 25 + x

The y represent the result or value of the expression 25 + x, we get the following algebraic equation;

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Answer:

d * 0.20 = x

Step-by-step explanation:

In order to calculate the total cost of the DVD's we first need to change the percentage of the discount that Miguel's manager is giving him into decimal format by dividing the percentage by 100 like so...

20 / 100 = 0.20

Now that we have the decimal value we can multiply it by the actual cost of the DVDss to find the total cost before taxes. Since we do not have the actual DVD cost we would make the following equation where x is the final total cost and d is the initial cost of the DVDs.

d * 0.20 = x

Answer:

-3

Step-by-step explanation:

-3x+1=10

-3x=9

x=-3

Answer:

-3

Step-by-step explanation:

-3(-3)+1=10 hope this helped?

y= √x

Identify the equation of the function.

y= √-1+3

Answer:

b. y = square root x

Step-by-step explanation:

Answer:

33.3%

Step-by-step explanation:

6/10 x 5/9 which equals 1/3 when simplified, or 33.3%

Answer:

8

Step-by-step explanation:

because there is 8 in the question

The spacecraft would take approximately 7 hours to reach the moon from Earth.

The moon is 2.4 x 10 5 miles from earth.

Assume the speed of the fastest spacecraft is 3.6 x 10 4 miles per hour.

How many hours would it take this spacecraft to fly to the moon from earth:

The question is asking how many hours it would take a spacecraft that is traveling at a speed of 3.6 x 10 4 miles per hour to fly from Earth to the Moon, which is 2.4 x 10 5 miles away.

This problem can be solved using the formula:  

distance = rate x time.

To find the time it would take to travel to the moon,

we need to rearrange the formula to solve for time.

time = distance / rate.

Plugging in the given values:

distance = 2.4 x 10 5 milesrate.

= 3.6 x 10 4 miles per hour

time = (2.4 x 10 5) / (3.6 x 10 4)

time = 6.67 hours

Rounding to the nearest hour, the spacecraft would take 7 hours to fly to the moon from Earth.

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Answer:

n=1.3

Step-by-step explanation:

just plug it in for n and see results

Answer:

Real numbers include both Rational and Irrational number sets.

Rational and Irrational numbers sets are independent from each other.

See the diagram attached.

Answer:

Step-by-step explanation:

Answer:

Adults= 110

Children= 340

Step-by-step explanation:

Given data

let adults be x

and children be y

x+y= 450----------1

2x+y=680---------2

from 1

x= 450-y

put this in 2

2(450-y)=680

900-2y=680

900-680=2y

220=2y

y= 220/2

y= 110

x+110= 450

x= 450-110

x=340

The slope of the line that contains the points (1, 15) and (4, 21) is equal to 2.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Based on the information provided, we can logically deduce the following data points on the line:

Substituting the given data points into the slope formula, we have the following;

Slope, m = (21 - 15)/(4 - 1)

Slope, m = 6/3

Slope, m = 2.

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Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

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Converting moles to grams is a relatively straightforward process.

To begin, you'll need to know the molecular weight of the substance you're dealing with. This is the sum of the atomic masses of all the atoms in the molecule.

Once you have the molecular weight, you can then use the following equation to convert moles to grams: moles x molecular weight = grams. For example, if you wanted to convert 1 mole of water to grams, you would use the molecular weight of water (18.015 g/mol) to get the answer: 1 mole x 18.015 g/mol = 18.015 g.

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Answer:

20

Step-by-step explanation:

50%=10

100%=20

Answer:

20

Step-by-step explanation:

50% basically means half, so if 10 is 50% then the other 50% is also 10.

so 10x2=20

Answer:

16x^2-24-4

Step-by-step explanation:

8(2x^2-3x-.5)

16x^2-24x-4

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Answer:

6 cm^2

Step-by-step explanation:

Answer:

1. Yes

2. Yes

3. No

4. No

5. No (that is plus not multiply)

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Parallel lines and Transvell.

We here are going to use the concept of Corresponding angles, co- interior angles and linear pair also Adjacent angles.

hence, we get as,

1.) x = 60° , y = 60°.....(vertically opposite angles)

2.) x = 120° , y = 120°

3.) x = 105° , y = 75°

4.) x = 140° and y = 40°

All are above done.

The expressions that Callie can use to predict the number of white and yellow lilies she will sell at the market are:

If w represents the number of white lilies Callie sells per day at the gift shop, then the number of white lilies she will sell at the market will be w - 30 (30 fewer).

Similarly, if y represents the number of yellow lilies Callie sells per day at the gift shop, then the number of yellow lilies she will sell at the market will be y + 20 (20 more).

Therefore, the expressions that Callie can use to predict the number of white and yellow lilies she will sell at the market are:

Number of white lilies Callie will sell at the market: w - 30

Number of yellow lilies Callie will sell at the market: y + 20

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Answer:

I have no idea

Step-by-step explanation:

Answer:

B and C are wrong

B: 7.89 x 10^-4

C: 3.15 x 10^2

Step-by-step explanation:

B is not written correctly. The purpose of scientific notation is to get rid of the decimal places with 0s. So instead of 0.789, it should be 7.89 x 10^-4

C is wrong, it should be 3.15 x 10^2

To determine the best policy for Brennan Aircraft's plotter pen replacement, we can simulate the problem and compare the expected costs for both scenarios: replacing one pen or replacing all four pens each time a failure occurs.

Let's calculate the expected costs for each scenario:

Replacing one pen:

We'll calculate the expected cost per hour of plotter failure by multiplying the probability of each failure duration by the corresponding cost per hour, and then summing up the results.

Expected cost per hour = Σ(Probability * Cost per hour)

Expected cost per hour = (10 * 0.05 + 20 * 0.15 + 30 * 0.15 + 40 * 0.20 + 50 * 0.20 + 60 * 0.15 + 70 * 0.10) * $50

Expected cost per hour = $39.50

Replacing all four pens:

We'll calculate the expected cost per hour using the same method as above, but using the probability distribution for the scenario of replacing all four pens.

Expected cost per hour = (100 * 0.15 + 110 * 0.25 + 120 * 0.35 + 130 * 0.20 + 140 * 0.00) * $50

Expected cost per hour = $112.50

Comparing the expected costs, we can see that replacing one pen each time a failure occurs results in a lower expected cost per hour ($39.50) compared to replacing all four pens ($112.50). Therefore, the best policy for Brennan Aircraft would be to replace one pen each time a failure occurs.

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The p-value for the claim is 0.0576.

We must run a hypothesis test to find the p-value for the assertion. Here are descriptions of the null and competing hypotheses:

Null Hypothesis (H₀): Young adults in the city share the same smoking patterns as young adults in general in the United States.

Alternative Hypothesis (H₁): The percentage of young adults in the city who smoke differs from the percentage of young adults in the U.S.

To analyse the data, we can perform a hypothesis test for a single proportion, more precisely a one-sample proportion test. Let's use this method to determine the p-value.

We must first calculate the sample proportion's standard error:

SE = \(\sqrt{\frac{p_{0} \times (1 - p_{0})}{n}}\)

where:

p₀ = proportion of young adults who reported smoking at least twice a week or more in the last month (given as 0.16)

n = sample size (given as 75)

SE = sqrt((0.16 * (1 - 0.16)) / 75) ≈ 0.0421

Next, we calculate the test statistic (z-score) using the observed sample proportion:

z = (\(\hat{p}\) - p₀) / SE

where:

\(\hat{p}\) = observed sample proportion (6 out of 75)

p₀ = proportion of young adults who reported smoking at least twice a week or more in the last month (given as 0.16)

SE = standard error of the sample proportion (0.0421)

\(\hat{p}\) = 6/75

\(\hat{p}\) = 0.08

z = (0.08 - 0.16)/0.0421

z ≈ -1.897

Now that we have the probability of seeing a test statistic with either tail as severe as -1.897, we can calculate the p-value.

p-value ≈ P(Z ≤ -1.897) + P(Z ≥ 1.897)

The p-value is about 0.0576, according to a standard normal distribution table or statistical software.

As a result, the claim's p-value is roughly 0.0576.

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Step-by-step explanation:

If the testing firm rejects the null hypothesis at the 0.10 level of significance, it means that they have found evidence that suggests that the publisher's claim of 43% ownership of personal computers among readers is inaccurate.

Since the null hypothesis always assumes that there is no statistically significant difference between the observed data and the expected data, rejecting it means that there is a statistically significant difference between the observed data and the expected data. In this case, it means that the proportion of readers who own a personal computer is significantly different from 43%.

However, it is important to note that rejecting the null hypothesis does not necessarily prove that the publisher's claim is completely false or inaccurate. It only suggests that there may be reason to question its accuracy. Further investigation and testing would be needed to establish a more confident conclusion.