PLEASE HELP
Which expressions are equivalent to the one below? Check all that apply.
27^x/9^x

The combination is evaluated to give 20

From the information given, we have the expression as;

⁵C₁

The formula for calculating combination is expressed as;

ⁿCᵣ = n! / (r!(n-r)!)

Such that the parameters of the formula are expressed as;

Now, substitute the values into the formula, we have;

⁵C₁ = 5! / (1!(5-1)!)

= 5! / (1! × 4!)

Find the permutation, we have;

= (5 × 4 × 3 ×2 × 1) / (1 × (4 × 3 × 2 × 1))

Divide the values, we get;

= 20 / 1

Find the value

= 20

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The x-intercept of the given line is (-10, 0). The y-intercept is determined as (0, -45).

The y-intercept is the point at which the line crosses the y-axis. Geometrically, it speaks to the esteem of the subordinate variable (as a rule signified as y) when the autonomous variable (more often than not indicated as x) is rise to to zero.

On the other hand, the value of x when y is equal to zero, is referred to as the x-intercept of the line.

The x-intercept of the line shown in the image above is (-10, 0), while the y-intercept is (0, -45).

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[tex]\large \maltese \:{ \underline { \underline{ \pmb{ \sf{SolutioN }}}}} : -[/tex]

we have given ,

★ According to Angle sum property of triangle, the sum of interior angles of a triangle is 180°.

➝ ∠ A + ∠ B + ∠ C = 180°

➝ 60° + 60° + ∠ C = 180°

➝ 120° + ∠ C = 180°

➝ ∠ C = 180° - 120°

➝ ∠ C = 60°

Now,

★ Calculating for x :-

↝ ∠ C + x = 180°

↝ 60° + x = 180°

↝ x = 180° - 60°

↝ x = 120°

Hence, The value of x will be 120°.

Answer:

The major of the exterior angle is 120°

Step-by-step explanation:

In given triangle we have to find the value of exterior angle and in interior of the triangle there are two angles 60 degree and second one is also 60 degree and we have to find value of exterior angle which is x.

So, here we apply exterior angle property which is exterior angle is equal to the sum of the two interior opposite angles. Here, there are two opposite interior angles so we have to add these two and we get the value of exterior angle.

Exterior angle property :-

[tex] \implies \sf \angle60 \degree + \angle60 \degree[/tex]

[tex] \implies\angle120 \degree[/tex]

Some important properties :-

Exterior angle property :- An exterior angle of a triangle is equal to the sum of its interior opposite angles.

Angle sum property :- The total measure of the three angles of a triangle is 180°

Answer: {m∠HLI = m∠ILM}

Examining the figure the option that must be true is

D. m< HLI = m< ILM

The knowledge of angle on a straight line which is 180 degrees is used here,

Using the given angles and the concept of adjacent angles we have that

angle GLH = 150 - 60 = 60

Using angles on a straight line being 180 degrees we have that

angle ILJ = 180 - 60 - 60 - 30 - 15 = 15 degrees

Using adjacent angles

angle ILM = 15 + 15 = 30 degrees

hence we can say that m< HLI = m< ILM

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Answer:

942.48 meters

Step-by-step explanation:

The circumference of a circle can be calculated using the formula:

Circumference = π * Diameter

where π (pi) is a mathematical constant approximately equal to 3.14159.

Given a diameter of 300 meters, we can calculate the circumference as follows:

Circumference = 3.14159 * 300

Circumference ≈ 942.48 meters

Therefore, the circumference of a circular amphitheater with a diameter of 300 meters is approximately 942.48 meters.

Answer:

-1.2 is greater than -19/2.

Step-by-step explanation:

Area = 12 ft x 12 ft = 144 ft^2

Cost =  144 ft^2  *  $ 4/ ft^2 = $ 576

Answer:

We want to test the null hypothesis that the proportion of children aged 8-12 who have cell phones is 0.58, against the alternative hypothesis that the proportion is less than 0.58.

The sample proportion is:

p = 460/822 = 0.559

The sample size is n = 822.

Under the null hypothesis, the test statistic follows a standard normal distribution. The test statistic is:

z = (p - P0)/sqrt(P0(1 - P0)/n)

where P0 is the hypothesized proportion under the null hypothesis.

Substituting the values we obtained, we get:

z = (0.559 - 0.58)/sqrt(0.58(1 - 0.58)/822) = -1.691

The critical value for a one-tailed test with a significance level of 0.10 and 821 degrees of freedom is -1.282. Since the test statistic (-1.691) is less than the critical value (-1.282), we reject the null hypothesis.

Therefore, we can conclude that there is sufficient evidence to support the claim that less than 58% of children aged 8-12 have cell phones.

Hope that is what you are looking for :).

The length of ribbon that Hannah has is 57 inches.

The length of the ribbon that Hannah has can be determined by adding the length of each ribbon together. Addition is the process of determining the sum of two or more numbers.

Before the addition can be done, feet has to be converted to inches.

1 foot = 12 inches

1 3/4 x 12

= 7/4 x 12 = 21 inches

3 x 12 = 36 inches  

Total length of the ribbons = 21 + 36  =57 inches

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The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 is 1/6 or approximately  1667/10000 .

The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 can be found by using conditional probability.

The probability of the first card being odd is 2/4 (since there are two odd numbers out of four cards). If the first card was odd and not replaced, the number of cards remaining is three, with only one odd card. Therefore, the probability of picking an odd number again is 1/3.

So, the probability of picking an odd number and then picking an odd number is the product of the probabilities of picking an odd number in the first draw and picking an odd number in the second draw, given that the first draw resulted in an odd number.

P(Odd, Odd) = P(Odd on the first draw) * P(Odd on the second draw given that the first draw was odd)

P(Odd, Odd) = (2/4) * (1/3)

P(Odd, Odd) = 2/12

P(Odd, Odd) = 1/6 or approximately 0.1667

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Answer:

He owns about 4.17% or 4% so the others own about 95.83% or 96% but sense it rounds to the nearest tenth your answer would be 95.8%

Step-by-step explanation:

You can figure this out by doing 11,919 divided by 285,763 in order to figure out the percentage of the company he owns and then just do 100 - your answer.

Step-by-step explanation:

First, we need to find out how much money the three other individuals invested in the company. To do that, we'll subtract Fred's investment from the total investment:

Total investment = 285,763

Fred's investment = 11,919

Investment from the three other individuals = Total investment – Fred's investment

Investment from the three other individuals = 285,763 – 11,919

Investment from the three other individuals = 273,844

Now, to calculate the percentage of ownership for the three individuals, we'll divide their combined investment by the total investment and multiply by 100:

Percentage of ownership = (Investment from the three other individuals / Total investment) * 100

Percentage of ownership = (273,844 / 285,763) * 100

Percentage of ownership ≈ 95.8%

So, the three other individuals own approximately 95.8% of the company. Since the question asks to round to the nearest tenth, the answer is 95.8%.

[tex]\sqrt{252} ~~ \begin{cases} 252=&2\cdot 2\cdot 3\cdot 3\cdot 7\\ &2^2\cdot 3^2\cdot 7\\ &(2\cdot 3)^2\cdot 7\\ &6^2\cdot 7 \end{cases}\implies \sqrt{6^2\cdot 7}\implies 6\sqrt{7}[/tex]

Answer:

  c.  3 ft by 4 ft by 5 ft

Step-by-step explanation:

You want to know which sets of measurements can form a triangle.

The triangle inequality requires ...

  a + b > c

for any assignment of a, b, c to side lengths. If 'a' and 'b' are the two shortest sides, satisfying this inequality will also satisfy any other arrangement.

Only the side lengths 3 ft, 4 ft, 5 ft will form a triangle.

__

Additional comment

As we said the other arrangements of the triangle inequality are also satisfied for these numbers:

  4 + 5 > 3

  3 + 5 > 4

The garden with side lengths 3, 4, 5 will have the shape of a right triangle.

The amount that Za Kingdom charges for each pizza is $8.

To determine the amount charged by Za Kingdom, we first note that the cost of each pizza plus the delivery fee is $21.

Assuming the basic price to be $8 and the delivery fee of $13, we have the sum of $21. So, for 3 pizzas, we will have 8 times 3 = 24 + 13 = 37

Also, the amount for 10 pizzas will be 8 times 10 = 80 + 13 = 93. So, the price of each pizza is $8.

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The correct answer is A) partial.

Randomization is the process of randomly assigning the study participants or experimental units to the different treatment groups.

This helps to ensure that any differences observed between the groups are due to the treatment and not some other extraneous factor. Partial randomization refers to the random assignment of a subset of units to the treatment groups, while other units may be assigned in a non-randomized manner, such as based on convenience or some other criteria. Experimental, whole, and population randomization are not commonly used terms in research methodology.

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Marking the intersection points on the blueprint with yellow points:

To solve for the intersection points of three lines.

Equation 1: Y = -2X + 14

Equation 2: Y = 3X - 7

Equation 3: Y = 0.5X + 2

To find the intersection point of Equations 1 and 2, use the substitution method.

Substituting Equation 1 into Equation 2:

-2X + 14 = 3X - 7

Adding 2X and subtracting 14 from both sides:

-2X + 2X + 14 = 3X + 2X - 7 - 14

14 = 5X - 21

Adding 21 to both sides:

14 + 21 = 5X

35 = 5X

Dividing both sides by 5:

X = 7

Now substitute X = 7 back into Equation 1 to find the corresponding Y value:

Y = -2(7) + 14

Y = -14 + 14

Y = 0

Therefore, the intersection point of Equations 1 and 2 is (7, 0).

To find the intersection point of Equations 1 and 3, use the same substitution method.

Substituting Equation 1 into Equation 3:

-2X + 14 = 0.5X + 2

Adding 2X and subtracting 14 from both sides:

-2X + 2X + 14 = 0.5X + 2X - 14

14 = 2.5X - 14

Adding 14 to both sides:

14 + 14 = 2.5X

28 = 2.5X

Dividing both sides by 2.5:

X = 11.2

Now substitute X = 11.2 back into Equation 1 to find the corresponding Y value:

Y = -2(11.2) + 14

Y = -22.4 + 14

Y = -8.4

Therefore, the intersection point of Equations 1 and 3 is (11.2, -8.4).

To find the intersection point of Equations 2 and 3, substituting Equation 2 into Equation 3:

3X - 7 = 0.5X + 2

Subtracting 0.5X and adding 7 to both sides:

3X - 0.5X = 0.5X + 2 + 7

2.5X = 9

Dividing both sides by 2.5:

X = 3.6

Now substitute X = 3.6 back into Equation 2 to find the corresponding Y value:

Y = 3(3.6) - 7

Y = 10.8 - 7

Y = 3.8

Therefore, the intersection point of Equations 2 and 3 is (3.6, 3.8).

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The Mean = 9.778

The Median = 9

The Mode = 5 and 10

The Standard deviation = 6.21

The Range = 22

Mean:

To get, we will sum up all the values and divide by the total number of values.

Mean - Ef/n

Mean = (4 + 5 + 5 + 8 + 9 + 10 + 10 + 11 + 26) / 9

Mean = 88 / 9

Mean = 9.778

Median:

This means middle value of a dataset when arranged in ascending order. If there are two middle values, median is average of the two.

Arranging dataset in ascending order: 4, 5, 5, 8, 9, 10, 10, 11, 26. The Median is 9.

Mode:

The mode is the value that occur(s) most frequently in the dataset. In this dataset, the mode is 5 and 10 as both occur twice.

Standard Deviation:

Variance = [[tex](4 - 9.778)^2 + (5 - 9.778)^2 + (5 - 9.778)^2 + (8 - 9.778)^2 + (9 - 9.778)^2 + (10 - 9.778)^2 + (10 - 9.778)^2 + (11 - 9.778)^2 + (26 - 9.778)^2] / 9[/tex]

Variance = 38.617284

Variance = 38.62

Standard Deviation = √Variance

Standard Deviation = √38.62

Standard Deviation = 6.21449917532

Standard Deviation = 6.21

Range:

The range is difference between maximum and minimum values

Range = 26 - 4

Range = 22

b. The outline for the data set is as follows:

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1. Green Party: Political party prioritizing environmental issues, sustainability, and social justice.

2. The National Environmental Education Act promotes environmental education and awareness.

3.  Urban conditions impact species by habitat loss and fragmentation.

4. Developed countries prioritize environmental conservation; undeveloped countries focus on development.

1.  A green party is a political party that prioritizes environmental issues, sustainability, and social justice. One example of a green party is the Green Party of Germany (Bündnis 90/Die Grünen).

Founded in 1980, they advocate for renewable energy, climate protection, social equality, and grassroots democracy.

They have been part of coalition governments in Germany and have influenced national and European environmental policies.

2. The National Environmental Education Act is a United States federal law that was enacted in 1990 to promote environmental education and awareness among students and the general public.

The Act established the Office of Environmental Education within the Environmental Protection Agency (EPA) to provide funding for environmental education programs and to develop and disseminate environmental education materials.

3. Urban areas can have various negative impacts on species that live in the area. One example is the loss of natural habitat due to urban development.

When forests or wetlands are cleared to make way for buildings or roads, it disrupts the habitat of many species, leading to population declines and biodiversity loss.

4. Societal attitudes in developed countries often prioritize environmental conservation, sustainability, and environmental regulations.

There is generally greater awareness and concern for issues such as climate change, pollution, and resource depletion. In contrast, societal attitudes in undeveloped countries may vary, with more immediate concerns such as poverty and economic development taking precedence over environmental concerns.

5. The global aspect of environmental issues can have both positive and negative impacts on local environmental issues. Positively, global awareness and collaboration can lead to knowledge sharing, resources, and support for local initiatives.

Negatively, global demands and policies may prioritize economic growth, leading to environmental degradation and challenges for local communities.

Regarding the issue with banned questions, I apologize for any inconvenience caused.

The moderation system is in place to ensure compliance with community guidelines and prevent misuse of the platform. It's possible that certain questions may trigger filters due to sensitive topics, inappropriate content, or excessive repetition.

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The measure of angle m∠XKZ is 218°.

An angle is formed when two straight lines or rays meet at a common endpoint.

The six types of angles are,

To find the measure of angle m∠XKZ, we use the formula below

Formula:

From the question,

Given:

Substitute these values into equation 1 and solve for x

Hence, m∠XKZ = [(15×15)-7] = 218°

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Answer:

Step-by-step explanation:

hoop 132

10.8

.......................................

The radical expression [tex]\sqrt[4]{x^5}[/tex] written as an expression with a rational exponent include the following: A. [tex]\sqrt{x^{\frac{5}{4} }}[/tex]

In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an algebraic equation or expression, in order to raise a given quantity to the power of another.

Mathematically, an exponent can be represented or modeled by this mathematical expression;

bⁿ

Where:

By applying the law of exponents for powers to the given radical expression [tex]\sqrt[4]{x^5}[/tex], we would have the following simplified expression:

[tex]\sqrt[4]{x^5}=\sqrt{x^{5 \times \frac{1}{4}}}\\\\\sqrt{x^{5 \times \frac{1}{4} }}}=\sqrt{x^{\frac{5}{4} }}}[/tex]

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Answer:(-4,0) (2,0)

Step-by-step explanation:

the points will be (-4,0) & (2,0) while the parabola is concave up

The coordinates of the point in the graph is (3, 2)

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following

Represent the point with x

So, we have

X = (3, 2)

Hence, the coordinates of the point in the graph is (3, 2)

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The research question is whether there is a significant relationship between GPA and the four variables, and the assumption of normality is tested by creating a descriptive statistics table with skewness and kurtosis values to determine if the variables follow a normal distribution.

Research question: Is there a significant relationship between GPA and the four variables (variable names not provided)?

Null hypothesis (H0): There is no significant relationship between GPA and the four variables.

Alternative hypothesis (Ha): There is a significant relationship between GPA and the four variables.

Step 2: Testing Assumptions - Normality

Research question: Is the assumption of normality violated for the four variables?

Null hypothesis (H0): The distribution of the four variables follows a normal distribution.

Alternative hypothesis (Ha): The distribution of the four variables does not follow a normal distribution

Next, you are instructed to create a descriptive statistics table in statistical software to assess normality. The table should include the four variables, along with their skewness and kurtosis values. Once you have created the table, you should paste it into the DAA Template.

After pasting the table, you will interpret the skewness and kurtosis values. Skewness measures the symmetry of the distribution, where a skewness value of 0 indicates perfect symmetry.

Positive skewness indicates a right-skewed distribution, while negative skewness indicates a left-skewed distribution. Kurtosis measures the peakedness or flatness of the distribution, with a kurtosis value of 3 indicating a normal distribution.

Positive kurtosis indicates a more peaked distribution (leptokurtic), while negative kurtosis indicates a flatter distribution (platykurtic).

Based on the skewness and kurtosis values, you will determine whether the assumption of normality is violated or not violated for the four variables.

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