Amy mows lawns to earn money for a new phone. She charges $8.15 an hour. How much money will she earn if she mows for 4.5 hours? Show your work for full credit.

The question states that a study suggests that 60% of college students spend 10 or more hours per week communicating with others online.

However, you believe that this information is incorrect and decide to collect your own sample for a hypothesis test. You randomly sample 160 students from your dorm and find that 70% of them spent 10 or more hours a week communicating with others online.

A hypothesis test is used to determine whether the results from a sample are statistically significant and can be generalized to the larger population. In this case, your friend has come up with the following set of hypotheses:

1. Null hypothesis (H0): The proportion of college students who spend 10 or more hours per week communicating with others online is 60%.

2. Alternative hypothesis (Ha): The proportion of college students who spend 10 or more hours per week communicating with others online is not 60%.

Based on the information given, there are a couple of errors in the set of hypotheses proposed by your friend.

Firstly, the null hypothesis should reflect the information from the initial study, which states that 60% of college students spend 10 or more hours per week communicating online. So, the correct null hypothesis should be:

1. Null hypothesis (H0): The proportion of college students who spend 10 or more hours per week communicating with others online is 60%.

Secondly, the alternative hypothesis should reflect your belief that the initial study is incorrect, and your sample suggests a different proportion. In this case, your alternative hypothesis should be:

2. Alternative hypothesis (Ha): The proportion of college students who spend 10 or more hours per week communicating with others online is not 60%.

To summarize, the correct set of hypotheses for your hypothesis test would be:

H0: The proportion of college students who spend 10 or more hours per week communicating with others online is 60%.

Ha: The proportion of college students who spend 10 or more hours per week communicating with others online is not 60%.

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The value of x from the given condition is 11.

Given that, the area of rectangle exceed the area of the square by 24m².

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Now, area of rectangle = (x-6)(x-3)

= x²−9x+18

Area of a square = side²

= (x-7)²

= x²-14x+49

Here, the area of rectangle exceed the area of the square by 24 m²

So, x²−9x+18 = x²-14x+49+24

⇒ -9x+14x = 73-18

⇒ 5x = 55

⇒ x = 11

Therefore, the value of x from the given condition is 11.

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Answer:

y=x-1

Step-by-step explanation:

Answer: x=10

Step-by-step explanation:

\(4(x+3)=x+42\\4x+12=x+42\\4x-x=42-12\\3x=30\\x=10\)

Answer:

Step-by-step explanation:

12y - 15x = 84     you want to make the equation look like y=mx+b

12y=15x+84       bring over the x term

y=5/4 x +7         divide both sides by 12

Answer:

Part 1: A= 3.2 B= 2.5  C=16

Step-by-step explanation:

The correct answer is D) 4.

In a two-way analysis of variance, we are examining the effects of two independent variables (or factors) on a dependent variable. We must calculate four F-ratios to test the significance of these effects: two for the main effects of each factor, and two for the interaction effect between the two factors.

The F-ratio is a statistical test that compares the amount of variability between groups to the amount of variability within groups. By calculating F-ratios for each effect, we can determine whether the differences between groups are statistically significant and whether the independent variables have a significant impact on the dependent variable.

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Answer:

2.1 pounds

Step-by-step explanation:

Given that :

Number of baseballs = 7

Weight of each baseball = 0.3 pounds

1 block = 0.1 pounds

Hence, each ball will represent 0.3 / 0.1 = 3 blocks

Hence, 3 blocks = 1 ball

7 balls will be : 3 * 7 = 21 blocks

Recall:

1 block = 0.1

Hence, 0.1 * 21 = 2.1

Therefore, the weight of the 7 balls = 2.1 pounds

Answer:

\(80\)

Step-by-step explanation:

\(the \: number \: between \: (-10) \: and \: ( 70) \: \\ is \: same \: as \: (70) - ( - 10) = 70 + 10 \\ ans = 80\)

Answer:

Step-by-step explanation:

Find the midpoint:

The number is 40

Sampling, Experiment, Simulation, Census

1. Sampling: This technique involves selecting a subset of individuals or items from a larger population to gather data. It is commonly used when it is not feasible or practical to collect data from the entire population. Sampling allows researchers to make inferences about the population based on the characteristics of the sample.

2. Experiment: In an experiment, researchers manipulate variables and observe the effects on the outcome of interest. They assign participants or subjects to different groups (e.g., control group and treatment group) and control the conditions to study the cause-and-effect relationships. Experiments are often used to test hypotheses and determine causal relationships between variables.

3. Simulation: Simulation involves creating a model or computer program that imitates real-world processes or systems. By running simulations, researchers can observe and analyze the behavior of the system under different scenarios. Simulations are useful for studying complex systems or situations that are difficult or costly to replicate in real life.

4. Census: A census involves collecting data from the entire population of interest rather than a sample. It aims to gather comprehensive information on all individuals or items within the population. Census data provide a complete picture of the population but can be time-consuming, expensive, and may not be feasible for large populations.

In order to determine which technique was used in a particular study, we would need more specific information about the study design, data collection methods, and objectives. Each technique has its own advantages and is suitable for different research scenarios, depending on factors such as the population size, research questions, available resources, and practical constraints.

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Take 6 as a common factor.

→ 6 (a²b + 2ab²)

Now take ab as a common factor.

→ 6ab (a + 2b)

Therefore, the factors are:

Answer:

130

Step-by-step explanation:

360/3=130

(50/100)*130=65

2*65=130

Answer:

x=6, y=75

Step-by-step explanation:

Since the diameter of the circle is a perpendicular bisector to the chord, x and 6 must be equal and therefore x=6. It also bisects the arc, meaning that y=75. Hope this helps!

Answer:

V = 3534 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

the radius is 7.5 and the height is 20

V = pi ( 7.5)^2 * 20

V =1125 pi cm^3

Using the pi button for pi

V =3534.291735 cm^3

Rounding to the nearest whole number

V = 3534 cm^3

Answer:

b)3534 cm^3

Step-by-step explanation:

To find the area of a cylinder, you first have to find the area of the base which is in the shape of a circle. The area of a circle is given by the equation πr^2. In this case r, the radius, is 7.5 cm. So plugging in 7.5 for r you get 7.5^2 × π. Plugging in 3.1415 for π you get ~176.671. Now all you do is multiply this by the height, 20cm, and get the answer of ~3534 cm^3.

Answer:

Step-by-step explanation:

A

It should be 5z-4.5 . You look all right in everything else <3.

Answer:

P(number of cube) = 3/6

=1/2

Answer:

6 units

Step-by-step explanation:

Just count

The distance between points A and B is 6 units.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

In geometry, Distance between two points will be always a positive number.

Distance will be 0, if the points coincide.

Here on a number line, A is marked at -5 and B at 1.

We have to find the distance between A and B.

Distance between A and B = 1 - -5 = 1 + 5 = 6 units

Hence distance between A and B is 6 units.

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Step-by-step explanation: First, you have to multiply the numerators, for example, 1/2 x 1/4. 1x1=1. Then the denominator. 2x4=8. So, 1/2x1/4=1/8

CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

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Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

Answer:

Sally started by graphing the point (2,0) is wrong

Step-by-step explanation:

We know

The equation is  y = - 3/4x + 2

M = -3/4

Y-intercept located at (0, 2)

Sally started by graphing the point (2,0)

This is wrong because (2,0) is the x-intercept, not the y-intercept!

So, she is wrong right at the beginning.

A study with three levels of one factor and four replicates in each group would have how many degrees of freedom in a one-way ANOVA.

In order to perform a one-way ANOVA test, one must first compute the sum of squares between and the sum of squares within, both of which require degrees of freedom to be calculated. Degrees of freedom refer to the number of values in a sample that are free to vary.

The degrees of freedom are usually represented by the letters df. The degrees of freedom for the numerator are calculated by subtracting 1 from the number of groups or categories (k), while the degrees of freedom for the denominator are calculated by subtracting the number of groups (k) from the total number of observations (N) in the sample and then subtracting 1. For a one-way ANOVA test with three levels of one factor and four replicates in each group, the degrees of freedom in the test would be 2, 9.Answer: d. 2, 9

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Answer:

Samee

Step-by-step explanation:

Answer:

TIAGZ

and Billie Eilish

DABABY

Step-by-step explanation:

To simulate a 6.25% chance of success, the most efficient way to do this is to generate the numbers from 1 to 16 and choose one to represent success. To simulate a 40% chance of success, generate numbers from 1 to 5 and choose 2 to represent success. Finally, to simulate a 2 in 29 chance of success, generate numbers from 1 to 29 and choose 2 to represent success.

a. Suppose you want to simulate something with a 6.25% (1 in 16) chance of success.

The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to 16, and arbitrarily choose 1 number to represent a "success."

b. Suppose you want to simulate something with a 40% (2 in 5) chance of success. The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to 5, and arbitrarily choose 2 number(s) to represent a "success."

c. Suppose you want to simulate something with a 2 in 29 chance of success. The most efficient way to simulate that with whole numbers would be to generate the numbers from 1 to 29, and arbitrarily choose 2 number(s) to represent a "success."

In summary, to simulate a 6.25% chance of success, the most efficient way to do this is to generate the numbers from 1 to 16 and choose one to represent success.

To simulate a 40% chance of success, generate numbers from 1 to 5 and choose 2 to represent success.

Finally, to simulate a 2 in 29 chance of success, generate numbers from 1 to 29 and choose 2 to represent success.

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If the given differential equation is

\(\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1\)

then multiply both sides by \(\frac1{\cos^2(x)}\) :

\(\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)\)

The left side is the derivative of a product,

\(\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)\)

Integrate both sides with respect to \(x\), recalling that \(\frac{d}{dx}\tan(x) = \sec^2(x)\) :

\(\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx\)

\(\sin(x) y = \tan(x) + C\)

Solve for \(y\) :

\(\boxed{y = \sec(x) + C \csc(x)}

which follows from \(\tan(x)=\frac{\sin(x)}{\cos(x)}\).

1) \(4x+5=-6x+5\) (given)

2) \(4x=-6x\) (subtraction property of equality)

3) \(10x=0\) (addition property of equality)

4) \(x=0\) (division property of equality)

To determine the highest real root of the cubic equation 2x³ - 11.7x² + 17.7x - 5, we can use both graphical methods and numerical methods such as the Newton-Raphson method and the Secant method.

(a) Graphically, we can plot the equation 2x³ - 11.7x² + 17.7x - 5 and visually identify the highest real root by determining the x-value at which the function intersects the x-axis.

(b) Using the Newton-Raphson method, we start with an initial guess xo = 3 and iterate five times to refine the estimate. The iterations involve evaluating the function, its derivative, and updating the estimate accordingly.

(c) Applying the Secant method, we utilize two initial guesses, x1 = 3 and xo = 4, to iteratively approximate the highest real root. By computing the function values at these points, updating the estimate, and repeating the process for five iterations, we can obtain an approximation.

To compute the approximate percent error for all solutions, we compare the obtained approximations with the actual values of the highest real root, if available. The percent error is calculated by taking the absolute difference between the approximate and actual values, dividing by the actual value, and multiplying by 100 to express it as a percentage.

In conclusion, the highest real root of the cubic equation can be determined through graphical methods, the Newton-Raphson method, and the Secant method. The approximate percent error is computed to evaluate the accuracy of the solutions obtained.

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