A sphere has a diameter of 12 inches. What is the volume of the sphere? V = ____ PI in^3

Answer: False

Step-by-step explanation:

In Boolean algebra, the symbol "+" represents logical OR operation, not regular addition as in linear algebra. The logical OR operation is used to combine two or more logical statements into a single statement that is true if at least one of the statements is true.

For example, if A and B are two logical statements, then A+B is true if A is true, or B is true, or both A and B are true.

Therefore, it is important to understand the context in which the symbol "+" is being used, whether it is in the context of regular addition or logical OR operation.

Answer:

12.87

Step-by-step explanation:

Answer:

n = 12.87

Step-by-step explanation:

If cos(0) = -8/17 and sin(O) is negative, then sin(O) = -15/17 and tan(O) = 15/8.

Given that cos(O) = -8/17 and sin(O) is negative, we can use the Pythagorean identity to find sin(O).

The Pythagorean identity states that sin²(O) + cos²(O) = 1. So, sin²(O) = 1 - cos²(O).

Substituting the given value for cos(O):
sin²(O) = 1 - (-8/17)² = 1 - (64/289)

To find sin(O), we must take the square root of the result, keeping in mind that sin(O) is negative:
sin(O) = -√(289/289 - 64/289) = -√(225/289) = -15/17

Now, we can find tan(O) using the sine and cosine values:
tan(O) = sin(O) / cos(O)

Substituting the values we found:
tan(O) = (-15/17) / (-8/17) = (-15/17) * (17/8)

Simplifying:
tan(O) = 15/8

So, sin(O) = -15/17 and tan(O) = 15/8.

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The exponential decay model for seaborgium-266 is N(t) = N₀(1/2)^(t/30).

The percent of the sample that will remain after 90 seconds is 12.5%.

It will take about 54 seconds for a sample of seaborgium-266 to decay to 30% of its original amount.

We have,

(a)

The exponential decay model for a substance with a half-life of t.

\(N(t) = N_0(1/2)^{t/t_{1/2}}\)

where N₀ is the initial amount of the substance and t½ is the half-life.

For seaborgium-266,

N₀ is the original amount of the substance and t½ = 30 seconds.

The exponential decay model for seaborgium-266.

N(t) = N₀(1/2)^(t/30)

(b)

To find what percent of the sample will remain after 90 seconds, we need to find N(90)/N₀.

Substituting t = 90 into the exponential decay model.

N(90) = N₀(1/2)^(90/30)

= N₀(1/2)³

= N₀(1/8)

The percent of the sample that will remain after 90 seconds.

N(90)/N₀ = (N₀/8)/N₀

= 1/8

= 0.125  x 100

= 12.5%

(c)

We need to find the value of t such that N(t) = 0.3N₀.

Substituting N(t) from the exponential decay model.

N₀(1/2)^(t/30) = 0.3N₀

Dividing both sides by N₀.

(1/2)^(t/30) = 0.3

Taking the logarithm of both sides (with base 1/2).

t/30 = log(0.3) / log(1/2)

Solving for t.

t = 30 log(0.3) / log(1/2)

= 54 seconds

Thus,

The exponential decay model for seaborgium-266 is N(t) = N₀(1/2)^(t/30).

The percent of the sample that will remain after 90 seconds is 12.5%.

It will take about 54 seconds for a sample of seaborgium-266 to decay to 30% of its original amount.

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A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. To find out how many prime numbers there are between 30 and 50, we need to check each of the numbers from 30 to 50 to see if it is a prime number.

A prime number is a number that is only divisible by 1 and itself. The prime numbers between 30 and 50 are: 31, 37, 41, 43, and 47.

Therefore, there are 5 prime numbers between 30 and 50.

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Answer:

6

Step-by-step explanation:

Call the bigger number a, smaller b
a + b = 10
b + 2 = a
a + b + 2 = a + a = 2a = 12
a = 12 : 2
a = 6

Answer:

-8 \(\leq\) -8

Step-by-step explanation:

-8\(\leq\)2-10

-8\(\leq\)-8

Answer:

-8

Step-by-step explanation:

-8≤2-10
2-10 = -8
-8≤-8

Answer:

[see below]

Step-by-step explanation:

\(-7x+9y=-18\\\\-7x+7x+9y=-18+7x\\\\9y=-18+7x\\\\\frac{9y=-18+7x}{9}\\\\ y=-2+\frac{7}{9}x\\\\ \boxed{y=\frac{7}{9}x-2}\)

The slope is 7/9 and the y-intercept is (0, -2).

Hope this helps.

Answer:

x = - 10, x = 10

Step-by-step explanation:

Given

- 7 + \((x^2-19)^{\frac{3}{4} }\) = 20 ( add 7 to both sides )

\((x^2-19)^{\frac{3}{4} }\) = 27 , that is

\(\sqrt[4]{(x^2-19)^{3} }\) = 27 ( raise both sides to the power of 4 )

(x² - 19)³ = \(27^{4}\) = 531441 ( take the cube root of both sides )

x² - 19 = \(\sqrt[3]{531441}\) = 81 ( add 19 to both sides )

x² = 100 ( take the square root of both sides )

x = ± \(\sqrt{100}\) = ± 10

solution is x = - 10, x = 10

Since O is circumscribed about quadrilateral DEFG, the value of x is equal to: D. 68°.

A supplementary angle can be defined as two (2) angles or arc whose sum is always equal to 180 degrees. Mathematically, a supplementary angle can be calculated as follows:

Q + R = 180°.

In Geometry, the opposite angles of any cyclic quadrilateral that is inscribed inside a circle always form a supplementary angle. Thus, we would determine the value of x by using the mathematical expression above:

x + 112° = 180°

x = 180° - 112°

x = 68°

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{27x {}^{ - 3} {y}^{8} } \)

Now, let's get the common terms out :

\(\qquad \sf  \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{3 {x}^{2} {y}^{ - 1}(9 {x}^{ - 5} {y}^{9} )} \)

cancel out the common terms in numerator and denominator

\(\qquad \sf  \dashrightarrow \: \dfrac{1}{9 x {}^{ - 5} {y}^{9} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{ {x}^{5} }{9 {}^{ } {y}^{9} } \)

So, the correct choice is C

The margin of error for a survey which has a sample size of 260, would be ± 6. 2 %.

Margin of error indicates the extent to which sample data is likely to differ from population characteristics. It's presented as a proportion and demonstrates the range of values within which the accurate population value may fall with confidence. This statistical term also highlights random sampling errors that can occur in survey outcomes.

The margin of error for a sample of size 260 would therefore be :

= ± 1 / n

= ± 1 / √ 260

= ± 0. 062

= ± 6. 2 %

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When 12 is subtracted from the square of a number and the result is 4 times the number, then the negative solution is -2

Consider the number as x

Square of the number = \(x^{2}\)

12 subtracted from the square of a number = \(x^{2} -12\)

4 times the number = 4x

Then the equation will be \(x^{2} -12=4x\)

Rearrange the terms and it will become a quadratic equation

\(x^{2} -4x-12=0\)

Split the middle term and solve the equation

\(x^{2} +2x-6x-12=0\)

Take common terms

x(x+2)-6(x+2) = 0

Take common term outside

(x-6)(x+2) = 0

Therefore

x = 6, -2

The negative solution is -2

Hence, when 12 is subtracted from the square of a number and the result is 4 times the number, then the negative solution is -2

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Answer: The actual area of the base of the building is 4900 square feet.

Step-by-step explanation:

We have given, the scale on the model: 1 inch = 35 feet

In model,

Length= 4 feet , Width = 1 inch

As per scale ,

Actual length =  4 x 35 feet

= 140 feet

Actual width = 35 feet

Area of base of the building = Length x width

= 140 x 35

= 4900 square feet

Hence, the actual area of the base of the building is 4900 square feet.

The required values of the given scale images are as follows:

a. x = 17.5, b. x = 16.67, and x = 5.

a. As we know that scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

As per the given figure a, we can be written as:

35/x = 18/9

35 × 9 = 18x

x = (35 × 9)/18

x = 17.5

b. As per the given figure b, we can be written as:

x/10 = 15/9

x = (15 × 10)/9

x = 150/9

x = 16.67

c. As per the given figure c, we can be written as:

x/2 = 15/6

x = (15 × 2)/6

x = 5

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The slope of the line given in the graph will be [m] = - 0.78.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is the graph of a straight line.

The line passes through the coordinates as follows -

(- 1.8, 0)        [lying on x-axis]

(0, - 1.4)        [lying on y-axis]

The slope of the line can be calculated using the formula -

m = (y₂ - y₁)/(x₂ - x₁)

m = (- 1.4 - 0)/(0 + 1.8)

m = - 1.4/1.8

m = - 0.78

Slope of the line will be -0.78.

Therefore, the slope of the line given in the graph will be [m] = - 0.78.

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To determine the probability of event A, we need to add the probabilities of the sample points e1, e4, and e6:

P(A) = P(e1) + P(e4) + P(e6)

To determine the probability of event B, we need to add the probabilities of the sample points e2, e4, and e7:

P(B) = P(e2) + P(e4) + P(e7)

To determine the probability of event C, we need to add the probabilities of the sample points e2, e3, e5, and e7:

P(C) = P(e2) + P(e3) + P(e5) + P(e7)

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Answer:

19.92

Step-by-step explanation:

4.8 x 4.15

Answer:

20 is the correct answer.

Step-by-step explanation:

Answer:

a) 3.60

5.20

7.20

3.2 + .4M

b) at most, 42 minutes if only have $20

Step-by-step explanation:

minutes = 1;    3.2 + (.4)(1) = 3.60

minutes = 5;    3.2 + .4(5) =  5.20

minutes = 10;    3.2 + .4(10) = 7.20

minutes = M;    3.2 + .4M

b)  3.2 + .4M ≤ 20

.4M ≤ 16.8

M ≤ 42

at most, 42 minutes if only have $20

Answer:

in the question sorry

Step-by-step explanation:

I am going to make an equation using y=mx+b alright! y=0.40x+3.20

so the first one is 3.6

the second one is 5.2

the third one is 7.2

the last one is im not sure tbh i think you make one up

part b. is 42 mins

A bar graph is a horizontal or vertical representation of the frequency or relative frequency of the categories. The height of each rectangle represents the of the frequency category's frequency or relative frequency. The correct option is B

A Pareto chart is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency t of each rectangle represents the category's frequency or relative frequency. The correct option is C.

A bar chart, also known as a bar graph, is a type of chart or graph that displays categorical data using rectangular bars with heights or lengths proportional to the values they represent. The bars can be plotted horizontally or vertically. A vertical bar chart is also known as a column chart.

A Pareto chart is a bar graph with bars drawn in decreasing order of frequency or relative frequency. Each rectangle represents the frequency or relative frequency of the category.

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Answer:

Step-by-step explanation:

If coins 110 plus 130 will give you 240 coins

If actual money 110 times 5 will give you 550 plus 130 will give you 680 or 6 dollars and 80 cents.

N times 5 plus p will be your equation

In a randomized controlled experiment, there is a control group and a treatment group.

This statement is i.e. option d is correct.

Randomized controlled experiments are commonly used in scientific research, particularly in medicine and psychology.

They are used to determine whether a treatment or intervention is effective or not.

In a randomized controlled experiment, the participants are randomly assigned to either the control group or the treatment group.

The control group is used as a comparison group and does not receive the treatment or intervention.

The treatment group, on the other hand, receives the treatment or intervention being studied.

There are several ways that a randomized controlled experiment can be designed to minimize the potential for bias. For example, in a randomized controlled experiment, random assignment of participants to groups helps to ensure that the two groups are similar at the outset of the study.

This reduces the likelihood that differences between the groups will be due to factors other than the treatment or intervention being studied.

Other ways that a randomized controlled experiment can be designed to minimize bias include blinding and use of placebos.

Blinding refers to the practice of keeping certain participants, such as those administering the treatment, unaware of which group a participant is in.

This helps to ensure that any differences between the two groups are not due to the expectations of the researchers or participants.

Use of placebos is another way to reduce bias in a randomized controlled experiment.

Placebos are inactive substances that are given to the control group to mimic the treatment group, ensuring that any differences between the groups are due to the treatment being studied and not other factors.

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Answer: C / .33

Step-by-step explanation:

Answer:

(option 1) 1 unit up and 5 units right

Step-by-step explanation:

the x value represents horizontal shifts (left<-->right)
The y value represents vertical shifts (up<---->down)
a positive change in the x or y value is seen as going right or up, respectively. Since a positive value change is seen in both the x and y values, we can eliminate all the options except for option 1.
We can also subtract the initial point from the new point in order to find the exact shift (even though we already narrowed down to our answer).
x(A'-A)=3-(-2)=+5=right 5
y(A'-A)=3-2=+1=up 1

The calculated value is 15.16, and the degrees of freedom are 12, the p-value is less than 0.05.

As a result, we must reject the null hypothesis.

A manager of a sports club maintains data about the main sport in which members participate and their ages.

To verify if there is a connection between the age of a member and their sport preference, a test of independence is performed on 651 sports club members who were randomly selected at a 5% level.200 Words:

Test of independence: Test of independence is a statistical method that helps to determine if there is a connection between two groups, and if there is, what is the magnitude of the relationship.

A test of independence is performed using the chi-square statistic.

The null hypothesis in this test is that there is no relationship between the two group S.

We will use a chi-square test to determine whether there is a connection between the age of the member and the sport in which they participate.

Hypotheses:

Null hypothesis: There is no link between the age of a member and the sport in which they participate.

Alternate hypothesis: There is a relationship between the age of a member and the sport in which they participate.

Level of significance = 5%.

Step 1: Prepare the contingency table for observed values

Age  Basketball  Football  Hockey  Soccer  Other Under 20 years  25  30  20  10  15 20-29 years  20  50  35  30  25 30-39 years  15  40  40  35  30 40-49 years  10  35  25  25  20 Over 50 years  5  15  10  15  10

Step 2: Calculate the marginal frequencies.

Age  Basketball  Football  Hockey  Soccer  Other Total Under 20 years  25  30  20  10  15 100 20-29 years  20  50  35  30  25 160 30-39 years  15  40  40  35  30 160 40-49 years  10  35  25  25  20 115 Over 50 years  5  15  10  15  10 55 Total 75  170  130  115  100 651

Step 3: Compute the expected frequencies.

The predicted frequency for each group is (row total) * (column total) / total number of observations.

Age  Basketball  Football  Hockey  Soccer  Other Under 20 years  11.5  26.1  19.9  17.7  15 20-29 years  30.9  70.1  53.4  47.5  40.1 30-39 years  30.9  70.1  53.4  47.5  40.1 40-49 years  21.3  48.2  36.8  32.7  27.6 Over 50 years  9.4  21.4  16.4  14.6  12.3

Step 4: Calculate the test statistic:

We will use a chi-square test statistic to determine whether the null hypothesis should be accepted or rejected.

Chi-square test formula is:χ2 = Σ (Observed frequency – Expected frequency)2 / Expected frequency.

Degrees of freedom = (Number of rows – 1) * (Number of columns – 1)

χ2 = (25-11.5)2 / 11.5 + (20-30.9)2 / 30.9 + (15-30.9)2 / 30.9 + (10-21.3)2 / 21.3 + (5-9.4)2 / 9.4 + (30-26.1)2 / 26.1 + (50-70.1)2 / 70.1 + (40-70.1)2 / 70.1 + (35-48.2)2 / 48.2 + (15-21.4)2 / 21.4 + (20-19.9)2 / 19.9 + (35-53.4)2 / 53.4 + (40-53.4)2 / 53.4 + (25-36.8)2 / 36.8 + (10-16.4)2 / 16.4 + (15-14.6)2 / 14.6 + (15-32.7)2 / 32.7 + (25-27.6)2 / 27.6 + (10-12.3)2 / 12.3χ2 = 15.16

Degrees of freedom = (5-1) * (4-1) = 12

Step 5: Determine the p-value:

The p-value is determined by looking up the chi-square value and the degrees of freedom in the chi-square table.

The p-value is the probability of obtaining a result as extreme as or more extreme than the calculated value if the null hypothesis is true.

We will use a 5% level of significance.

Since the calculated value is 15.16, and the degrees of freedom are 12, the p-value is less than 0.05.

As a result, we must reject the null hypothesis.

There is evidence to suggest that the age of a member is related to the sport in which they participate.

In other words, the age of a member and their sport preference are not independent.

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Answer:

5/-9

Step-by-step explanation:

cuz it is just trust me

The function `computenum` is a simple Python function that takes an integer parameter and returns the product of the parameter and 9. This means that the function returns a value that is nine times the value of the input parameter.

The `computenum` function can be implemented in Python using a single line of code, as shown below:

```python

def computenum(num):

   return num * 9

```

This code defines a function called `computenum` that takes a single parameter called `num`. The function body consists of a single line of code that multiplies `num` by 9 and returns the result. When the function is called with an integer argument, it returns the product of that argument and 9. This function can be used in various contexts where a value needs to be multiplied by 9.

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True. The coefficient of variation is a better measure of risk than the standard deviation if the expected returns of the securities being compared differ significantly.

The coefficient of variation (CV) is a relative measure of risk that takes into account the standard deviation and the mean of a distribution. It is a better measure of risk than the standard deviation when comparing securities with significantly different expected returns because it adjusts for the differences in the means.

The CV is calculated as the ratio of the standard deviation to the mean, and it allows for the comparison of the risk of investments with different expected returns on a standardized basis. Therefore, it is a useful tool for investors who want to compare the risk of investments that have different levels of expected returns. However, it should be noted that the CV has limitations and should not be the sole measure of risk used in investment analysis.

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Answer:

A and C

Step-by-step explanation: