A game is played with 33 cards. Some of the cards have letters,
and the others have numbers. There are three possible colors
for each card. Is there a greater probability of selecting a yellow
card or a letter card at random? How much greater?
Show your work.

Answer:  Line BC and Line Ae are parallel. The 3 line segements that are pendicular to another line segments. Remeber line segements are line that form at an 90 degree angle

Step-by-step explanation: Hope this helps :)))

Answer:

1 & 2 = Right Triangles

3 & 4 = Not Right Triangles

Step-by-step explanation:

Solved Using Pythagorean Theorem:

1) \(9^{2} + 12^{2}\) = 225

\(15^{2}\) = 225

2) \(15^{2} + 36^{2}\) = 1521

\(39^{2}\) = 1521

3) \(10^{2} + 26^{2}\) = 776

\(28^{2}\) = 784

4) \(10^{2} + 12^{2}\) = 244

\(16^{2}\) = 256

The integral of t/(t⁴+7) can be evaluated using a simple substitution. By substituting u = t², the integral can be rewritten as ∫(1/2)/(u²+7) du. This integral can be evaluated using the inverse tangent function, resulting in the final answer of (1/2)arctan(u√7)+C, where C is the constant of integration.

∫ t/(t⁴+7) can be evaluated by substituting u = t², which leads to the integral ∫(1/2)/(u²+7) du. This integral can be expressed as (1/2)arctan(u√7)+C, where C is the constant of integration.

To explain further, the substitution u = t² is chosen because it simplifies the integral and allows us to work with a quadratic expression in the denominator. The derivative of u with respect to t is du/dt = 2t, which implies dt = du/(2t). Substituting these values into the original integral, we have ∫ (t/(t⁴+7)) dt = ∫ (1/(2u²+14)) du. Now, we can factor out the constant 1/2 from the numerator and rewrite the denominator as (2u² + 14) = 2(u²+ 7). The integral becomes ∫ (1/2)/(u² + 7) du. This integral can be evaluated by recognizing that it matches the form of the derivative of arctan(u√7), which is (1/2)/(u²+ 7). Hence, the integral is equal to (1/2)arctan(u√7) + C, where C is the constant of integration. Finally, substituting back u = t² gives us the final answer of (1/2)arctan(t²√7) + C.

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Answer:

3 hours

Step-by-step explanation:

Max cleans the house in 12 hours

Max in 1 hour cleans: 1/12 part of the house

Maggie cleans the house in 4 hours

Maggie in 1 hour cleans: 1/4 part of the house

In 1 hour they together do: 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3 work

1 hour===1/3 work

X hours== 1 work

X/3 = 1

X = 3 hours.

Hence, they together complete the work in 3 hours.

And so, the sister is correct.

Hope it helps.

From the F-table the critical value of \(\frac{\alpha }{2}\) at the degrees of freedom of :

\(F_\frac{\alpha }{2}, _d_f_1,_d_f_2=3.91\)

The decision rule

=> Fail to reject the null hypothesis

The first sample size \(n_1=12\)

The first sample standard deviation is \(s_1=0.038\)

The second sample size is \(n_2=10\)

The first sample standard deviation is \(s_2=0.042\)

The significance level is \(\alpha =0.05\)

The null hypothesis is \(H_0:\sigma^2_1=\sigma^2_2\)

The alternative hypothesis is \(H_0:\sigma^2_1\neq \sigma^2_2\)

The test statistics is mathematically represented as:

\(F_c_a_l=\frac{s^2_1}{s^2_2}\)

\(F_c_a_l=\frac{0.038^2}{0.042^2}\)

\(F_c_a_l=0.81859\)

The first degree of freedom is :

\(df_1=n_1-1=12-1=11\)

The second degree of freedom is :

\(df_2=n_2-1=10-1=9\)

From the F-table the critical  value of \(\frac{\alpha }{2}\) at the degrees of freedom of :

\(df_1=11\) and \(df_2=9\)

\(F_\frac{\alpha }{2}, _d_f_1,_d_f_2=3.91\)

The decision rule

Fail to reject the null hypothesis

The conclusion

This no sufficient evidence to conclude that there is a difference between the two variance.

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Answer:

Step-by-step explanation:

1. We know that the sum of angles in a triangle is 180, so, we know that two of the angles are 90 and 57, so let's add those together: 90+57=147. Now let's subtract 147 from 180. 180-147=33, so the missing angle is 33.

2. I don't know this one... maybe a equalaterial triangle?

3. 44.9 degrees, because the sum of the angles would equal 180.

4. No, it is unable to create a triangle.

5. A unique triangle

The concentration (pounds per gallon) of sugar in the tank after t minutes is c(t) = 10 + 3t / 300 + 15t

A math question that is phrased as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world" is known as a word problem.

Therefore, in order for kids to understand the word problem, they need to be familiar with the terminology that goes along with the mathematical symbols that they are used to.

According to the question,

We have one word problem

Total amount of water a mixing tank contains = 300 gallons

Amount of sugar mixed = 10 pounds

Let c(t) be variable denoting concentration (pounds per gallon) of sugar in the tank after t minutes.

=> c(t) = 10 + 3t / 300 + 15t is required Equation

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Answer:

\(3x-1\)

Step-by-step explanation:

\(3+2(x-2)+x=3+2x-2.2+x=(2x+x)+(3-4)\\=3x-1\)

Answer:

3x-1

Step-by-step explanation:

trust me i know

If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

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If the equation is 4y - 6x = 12, then (-4, -3) and (0, 3) are the solutions of the equation

The equation is given that

4y - 6x = 12

The first solution =(-4, -3)

The value of x = -4

The value of y = -3

Substitute the values in the equation

4(-3) - 6(-4) = 12

-12 - (-24) = 12

-12 + 24 = 12

12 = 12

Therefore (-4, -3) is the solution of the equation

Next solution is (0, 3)

The value of x = 0

The value of y = 3

Substitute the values in the equation

4(3) - 6(0) = 12

12 - 0 = 12

12 = 12

Therefore (0, 3) is the solution of the equation

Hence, if the equation is 4y - 6x = 12, then (-4, -3) and (0, 3) are the solutions of the equation

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Answer:

74,650

Step-by-step explanation:

270 times 400 and 125 times 400 - 83,350 = 74,650

Answer:

2a+110=180(co interior angle)

2a=180-110

a=70/2=35

2a=2×35=70

a=x=35 alternate angle

x+2a=y exterior angle of triangle is equal to the sum of two interior angle

35+70=y

y=105

Answer:

x=a

(being alternate angles)

x+2a=110°

(Being sum of interior angles opposite to exterior angles)

or, a +2a =110°

or, 3a=110°

or, a=110°/3

therefore, a=36.67

Now;

2a = 2×36.67

= 73.34

the answer I solved is wrong please don't write it

The mean is 0.298, and the standard deviation is 0.02.

The mean of the distribution is equal to the population proportion, which is 0.298, while the standard deviation is given by:

`sqrt((p*(1-p))/n)`.

Here, n=500, p=0.298

Therefore, the standard deviation of the sampling distribution is:`

sqrt((0.298*(1-0.298))/500)=0.0200`

Hence, the correct option is a.

The shape is approximately normal.

The mean is 0.298, and the standard deviation is 0.02.

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Answer;

Option B is correct.

The function increases at a constant multiplicative rate.

Step-by-step Explanation:

Complete Question

A table representing the function f(x) = 2(3/2)ˣ is shown below. What is true of the given function?

x | f(x)

0 | 2

1 | 3

2 | 4.5

3 | 6.75

a) The function increases at a constant additive rate.

b) The function increases at a constant multiplicative rate.

c) The function has an initial value of 0.

d) As each x value increases by 1, the y values increase by 1.

Solution

The function provided is

f(x) = 2(3/2)ˣ

We will take as h of the options one at a time to investigate which one is true.

a) The function increases at a constant additive rate.

A function that increases at an additive rate is one whose value as x increases, also changes with a constant difference between consecutive terms. That is, the consecutive terms of the functions for consecutive whole number values of x, will be like an Arithmetic progression with a constant common difference. If this function increased at an additive rate,

f(1) - f(0) = f(2) - f(1) = f(3) - f(2)

Inserting the values

3 - 2 = 4 5 - 3 = 6.75 - 4.5

1 ≠ 1.5 ≠ 2.25

Hence, this statement isn't true.

b) The function increases at a constant multiplicative rate.

For the function to increase at a multiplicative rate, the consecutive terms of the functions for consecutive whole number values of x will behave like a geometric progression with a common ratio. That is, the division of the (n+1)th term and the nth term of the function will always be a constant. That is,

f(1) ÷ f(0) = f(2) ÷ f(1) = f(3) ÷ f(2)

Inserting the values

(3/2) = (4.5/3) = (6 75/4.5)

1.5 = 1.5 = 1.5

The ratio is truly constant, hence, we can conclude that this statement is true and the function increases at a constant multiplicative rate.

c) The function has an initial value of 0.

For this to be true, f(0) = 0.

But from the table, it is evident that f(0) = 2, hence, the initial value of the function isn't 0 and this statement is false.

d) As each x value increases by 1, the y values increase by 1.

We've already checked the difference between consecutive terms of the functions for consecutive whole number values of x, the difference includes, 1, 1.5 and 2.25. Hence, as each x value increases by 1, the y values do NOT always increase by 1 and this statement is false.

Hope this Helps!!!

Answer:

B

Step-by-step explanation:

To write a division expression from a fraction, identify the numerator, which is the dividend, while the denominator is the divisor.

A division expression is an algebraic expression using the division operand (÷).

Algebraic expressions involve the combination of numbers, constants, values, and variables with mathematical operands.

The result of a division operation, which is one of the four basic mathematical operations, is known as the quotient.

Thus, we can conclude that the dividend is related to the numerator of the fraction just as the divisor is related to the denominator of the fraction.

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Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

Answer:

10

Step-by-step explanation:

Answer:

I don't know Sorry I just need points :(

Step-by-step explanation:

In the given scenario, the cable company decides to conduct a survey in the rural town of Podunk to determine the proportion of households that would buy their internet service. 50% of the households surveyed would buy internet service from a cable company

To calculate the proportion of households, we use the following formula:

The proportion of households = (Number of households who would buy the service) / (Total number of households surveyed)

The subdivision has 24 blocks, and each block has exactly 10 households, for a total of 240 households.

Therefore, the proportion of households = (Number of households who would buy the service) / (Total number of households surveyed)

Let's say that after conducting the survey, the company finds out that 120 households would buy their internet service. Then, the proportion of households who would buy their internet service can be calculated as follows:

The proportion of households = 120/240

The proportion of households = 0.5

Therefore, 50% of the households surveyed would buy internet service from a cable company. This information can help the company decide whether it is cost-effective to lay fiber-optic cable for high-speed internet in the subdivision. If the proportion of households willing to buy their service is high enough, the cable company will consider extending its line out to the area. However, if the proportion is too low, it may not be worth the expense to lay fiber-optic cable.

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Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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Answer:

Answer:

f (0) = 0

Step-by-step explanation:

Substitute x= 0 into f (x) = -2 + 2

f (0) = -2 + 2

Simplify:

f(0) = 0

There are three recipes provided to mention the fractional amounts of ingredients:

Recipe for Chicken Curry:

2 teaspoons of turmeric

1/2 teaspoon of cumin

1/4 spoon of any type of pepper

If you were to double this recipe, you would use:

4 teaspoons of turmeric

1 teaspoon of cumin

1/2 teaspoon of pepper

To double the amount of the ingredients, you would multiply each fraction by 2.

Chocolate chip cookies:

1/4 teaspoon of baking soda

1/2 teaspoon of salt

double the quantities if u want to make more or huge quantities

Tomato soup recipe

half a spoonful of dried basil

1/4 teaspoon of dried thyme

for this recipe, we will need

1 spoon of basil

1/2 teaspoon of dried thyme

Recipe for Pasta Salad:

fourth cup of Olive oil

1/3 cup of red wine vinegar

1/2 teaspoon of dried oregano

1/4 teaspoon of salt

1/8 teaspoon of black pepper

We can multiply by 2 if we increase the quantity.

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Answer:

The answer is 8/5

Hope this helps.

Answer:

the answer is 0.48888888888.

Step-by-step explanation:

first you multiply all the numbers need to be multiplied and then you add the numbers needed to be added and the lastly solve the whole expression.

The side lengths that form a right triangle are given as follows:

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

A right triangle is formed when the Pythagorean Theorem is respected, hence:

6² + 8² = 10²

36 + 64 = 100

100 = 100 -> right triangle with the side lengths 6, 8 and 10.

5² + 7² = [sqrt(74)]²

25 + 49 = 74

74 = 74 -> right triangle with the side lengths 5,7 and√74.

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True. Paired samples t-tests are used to compare the means of two related groups, such as a group of individuals tested before and after an intervention or treatment (pretest and post-test).

matched examples When comparing the means of two related groups, t-tests are a type of hypothesis test that pairs up each subject in one group with a subject in the other. The same group of people is assessed twice in a pretest-posttest design—once before and once after an intervention or treatment.
Paired samples t-tests do look at one group of individuals tested twice, such as with a pretest and post-test. This type of t-test is used to compare the means of the two related samples and analyze the difference between the two testing instances.

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y= 3x + 4

Slope: 3

y-intercept: (0,4)

y= -2x - 3

Slope: -2

y-intercept: (0,-3)

Answer:

No

Step-by-step explanation:

It does not because 5 times the sum of p and 11 is written like this :-

So, it's not the same.

To get 5p + 11, the correct statement should be :-