2x + 6y = 21 and -2x + 3y = 24

The null hypothesis (H0) says about the treatment is that it does not affect the scores.

Hypothesis testing is the statistical method that uses the data from a sample to conclude a population parameter or a population distribution.

There are two types of hypothesis testing. They are the null hypothesis and the alternative hypothesis.

It is given that,

A researcher selects a sample and administers a treatment to the individuals in the sample.

A hypothesis test is conducted on the sample.

So, the null hypothesis (H0) says about the treatment is that it does not affect the score obtained.

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Answer:

The translation is 2x-7

Step-by-step explanation:

Here, we want to write the given statement in an algebraic form

Let the number be x

2 times the number is 2 * x = 2x

Difference between this and 7 will be 2x-7

Answer:

\(x = 10\)

Step-by-step explanation:

To make A and B parallel, the two angle measures will have to be congruent, or equal. To show this, we can write an equation. Then, we can solve for x.

\(4x = 3x + 10\)

Subtract 3x.

\(4x - 3x = 3x + 10 - 3x\)

Simplify.

\(x = 10\)

Answer:

Step-by-step explanation:

A side walk has a length of 75.00  which is 2953 inches ^v^

Answer:

The probability  is  \(P( p  >  0.585) =  0.044565  \)

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.50

   The sample size is n = 100

Gnerally the mean of the sampling distribution is  

          \(\mu_x =  0.50\)

Generally the standard deviation of the sampling distribution is  

              \(\sigma  =  \sqrt{\frac{p(1- p)}{n} }\)

=>            \(\sigma  =  \sqrt{\frac{0.5 (1- 0.5)}{100} }\)

=>            \(\sigma  =0.05\)

Generally the approximate probability that the cable company will keep the shopping channel

\(P( p  >  0.585) =  P(\frac{p- \mu_{x}}{\sigma }  > \frac{0.585 - 0.50}{0.05} )\)

Generally  \(\frac{p- \mu_{x}}{\sigma } = Z (The  \  standardized \  value  \  of  p )\)

=>  \(P( p  >  0.585) =  P(Z > 1.7 )\)

From the z-table the probability of  (Z > 1.7 ) is  

       \(P(Z > 1.7 ) = 0.044565\)

So \(P( p  >  0.585) =  0.044565  \)

After solving the given numbers with (PEMDAS) 11 - 11 x 11 + 11 = we get the answer of -88.

To solve 11-11x11+11, we need to use the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. The order of operations is:

Parentheses

Exponents

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Using this order of operations, we can simplify the expression as follows:

11 - 11 x 11 + 11

= 11 - 121 + 11 (since multiplication should be done before addition and subtraction)

= -99 + 11

= -88

Therefore, the value of 11-11x11+11 is -88.

In general, when simplifying expressions, it is important to follow the order of operations to ensure that you get the correct answer. Additionally, it is always a good idea to check your work by plugging the answer back into the original expression and making sure that it is correct.

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The 70 calories in each pizza and 60 calories in each mini hotdog indicates that the system of equations that can be used to determine the number of pizza rolls and mini hotdogs in the combination meal are;

A system of equation are two or more equations that share common variables.

The number of calories in each pizza roll = 70

Number of calories in each mini hotdog = 60

Number of calories in a combination meal = 1140

Number of pizza rolls in the combination meal = 2 × Number of mini hotdogs in the combination meal

Let m represent the number of mini hotdogs in the combination meal and let p represent the number of pizza rolls, we get;

The system of equations that could be used to determine the number of pizza rolls and mini hotdogs in the combination meal are;

m = 2·p...(1)

70·p + 60·m = 1140...(2)

Therefore;

70·p + 60 × (2·p) = 1140

190·p = 1140

p = 1140 ÷ 190 = 6

The number of pizza rolls in the combination meal, p = 6

m = 2·p

Therefore; m = 2 × 6 = 12

Number of mini hotdogs, m = 12

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Let's denote the length of the unknown leg as x.

According to the given information, one leg of the right triangle is 8 centimeters shorter than the hypotenuse, which is 42 centimeters. Therefore, we can set up the equation:

x = 42 - 8

Simplifying this equation, we have:

x = 34

The length of the unknown leg is approximately 34 centimeters.\(\)

To find the end behavior of the function:

We look at the graph of it:

And look at what happens when the x is to small and to big.

• When x goes to infinity the function goes to infinity.

• When x goes to minus infinity the function goes to infinity.

The other way to find this is taking the limits to infinity in each end:

The statement "The function is decreasing from (–∞, 0) and from (0, ∞)" is true for the given parabola with solid circles at (−3,−5), (−2,0), (−1,3), (0,4), (1,3), (2,0), and (3,−5).

This is because the parabola opens downwards and has a maximum point at (0,4). Therefore, the function decreases on both sides of the vertex, meaning it is decreasing from negative infinity to zero and from zero to positive infinity.

This can be seen by observing the values of the y-coordinate of the points on the parabola, which decrease from the maximum point in both directions.

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The correct answer is B. The range does not use all the observations. The range is a measure of dispersion that only considers the difference between the maximum and minimum values in a data set.

This means that it does not take into account the distribution of the other observations in the data set. On the other hand, the standard deviation considers all the observations and measures how far, on average, each observation is from the mean. It is a more comprehensive measure of dispersion because it takes into account the spread of the data around the mean. Therefore, the standard deviation is generally considered a more desirable measure of dispersion compared to the range. The range does not use all the observations. The range, which is the difference between the highest and lowest values, only considers the two extreme data points. In contrast, the standard deviation takes into account the deviation of all observations from the mean, providing a more comprehensive measure of dispersion. The range can be less reliable in cases where extreme values are present, as it does not reflect the variability within the entire dataset.

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Answer:

31 words

Step-by-step explanation:

because the set up fee is 4:50$, minus this from the price Rebecca payed

16.90-4.50=$12.40

now divide this amount by $0.40 in order to get her word count

12.40÷0.40=31

Answer:

5.1

Step-by-step explanation:

When dividing or multiplying numbers, the answer should have the same amount of significant figures as the number in the problem with the least amount of sig figs.

In the problem 65.8 ÷ 13 ...

65.8 has 3 sig figs

13 has 2 sig figs

13 has THE LEAST AMOUNT OF SIGNIFICANT FIGURES

So, this means the answer must have the same number of sig figs as 13.

Let's round 5.0615384615 to TWO significant figures

the 6 in the number must be rounded up!

Final answer: 5.1

5.1 has  TWO sig figs like the number 13

Answer:

BE = 22.4 cm

Step-by-step explanation:

Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is

\(\frac{CB}{CE}\) = \(\frac{AB}{DE}\) , substitute values

\(\frac{6.4}{CE}\) = \(\frac{8}{20}\) ( cross- multiply )

8 CE = 128 ( divide both sides by 8 )

CE = 16 cm

Then

BE = BC + CE = 6.4 + 16 = 22.4 cm

Answer:

The equation of a line that passes through the point (-5,7) and has a slope of -2/5 would be y = -2/5x + 5

Step-by-step explanation:

In the math term y = mx + b, "m" represents slope. So you can just substitute it for -2/5. "b" represents the y-intercept. 5 is the only number that works, so you just substitute "b" for 5.

The correct expression is given as; 5a + 24.99(12). Option B

We know that it is normal for us to be able to use an equation to be able to model a function. In this case, we have been told that the monthly payment that has to be made is given as $24.99 each month and this has to be done for twelve months.

In addition to this, there is a cost of $5 that has to be paid for each of the classes  that we are taking. We would now need to assume that each of the classes would be represented as a.

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Suppose a juice box contains 30% juice with the remaining portion of the drink composed of water alcohol is the solute in this type of juice box.

Ethanol; Ethanol, a drab liquid with a pleasing scent this is produced evidently from fermentation through yeasts and different microorganisms. It is utilized in alcoholic beverages, as a solvent, and withinside the manufacture of different chemicals. Ethanol is a fairly poisonous and colorless compound.

Alcohol is the solute in this type of juice box is the solvent as alcohol is easily soluble as the solvent and has best property of a solute and csn pass through the semipermeable permeability and others solvent also. The alcohol is actually acting as the solute here to dissolve the solvent.

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Answer:

dyttcj

Step-by-step explanation:

Using it's definition, the probabilities are given as follows:

The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

The total number of bulbs in this problem is given as follows:

6 + 9 + 5 = 20.

Six of them are red, hence the probability of a red bulb is:

p = 6/20 = 0.3 = 30%.

Nine of them are blue, hence the probability of a blue bulb is:

p = 9/20 = 0.45 = 45%.

Five of them are green, hence the probability of a green bulb is:

p = 5/20 = 0.25 = 25%.

The probability of a red or blue bulb is:

p = 0.3 + 0.45 = 0.75.

The probability of a blue or green bulb is:

p = 0.45 + 0.25 = 0.6.

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Answer:-1

Step-by-step explanation:

in order to solve this type questions you should "orginize" numbers same variables:

-6x+4x=6-4

-2x=2

x=-1

The solution of the system of equations involving 3x + 5y = 13 and 2x + y = 4 is (1 , 2).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

3x + 5y = 13     (equation 1)

2x + y = 4     (equation 2)

Using the second equation, find the value of one variable, lets say y, in terms of the other.

2x + y = 4     (equation 2)

y = 4 - 2x

Substitute the equation of y to the first equation.

3x + 5y = 13     (equation 1)

3x + 5(4 - 2x) = 13

3x + 20 - 10x = 13

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

3x + 20 - 10x = 13

3x - 10x = 13 - 20

-7x = -7

x = 1

Substitute the value of x in the equation of y.

y = 4 - 2x

y = 4 - 2(1)

y = 4 - 2

y = 2

Hence, the solution of the given system of equations is (1 , 2).

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Answer:

its C

Step-by-step explanation:

it's because 3x7 is 21 add 4 to that its 25 and that's your answer

The sets that are equal are A = {1, 2, 3} and B = {2, 1, 3}

The order of elements does not matter when determining the equality of sets. Both sets A and B contain the same elements, namely 1, 2, and 3, even though their order is different. Therefore, we can say that A and B are equal sets.

The other sets mentioned, A = {1, 2} and B = {1}, A = {1, 2, 4} and B = {1, 2, 3}, and A = {1, 2} and B = {1, 2, 3}, are not equal because they have different elements. In the first case, set A has two elements, while set B has only one element.

In the second case, set A contains the element 4, which is not present in set B.

In the third case, set A has two elements, while set B has three elements, including the element 3, which is not present in set A.

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Answer:

7 dollars and 25 cents

Step-by-step explanation:

there is 8 quarts in 2 gallons then divide 58 dollars by 8 and you get 7 dollars 25 cents

Division is one of the four fundamental arithmetic operations. The price per quart is $7.25 per quart.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that A 2-gallon bucket of paint costs $58.00. Therefore, the price per gallon is,

Price per gallon = $58/2

Since a gallon is equal to 4 quarts. Therefore, the price per quart is,

Price per quart  = $58/(4×2) = $7.25 per quart

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The similarity property that can be used for the triangles is SAS.

The congruence of any two figures is generally understood as two figures which can perfectly overlap each other. Congruent triangles are triangles that are perfect copies of one another. Various congruence rules are used to prove the congruency in two triangles

One of the conditions that make triangles congruent is:

if the two sides and the included angle of one triangle are respectively equal to the two sides and the included angle of the other( SAS).

Considering the given image:

If two triangles ABC and DEF are drawn in which AB/DE = AC/DF and the included angles <A and <D are equivalent i.e. <A ≅ <D

Since the two sides and the included angle of ΔABC are respectively equal to the two sides and the included angle of the ΔDEF

Therefore, the similarity property that can be used is SAS. The  3rd option is the answer

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To estimate the sum of a convergent alternating series with an absolute error of less than 0.001, we can use the Alternating Series Estimation Theorem.

This theorem states that the error made by approximating the sum of an alternating series with the nth partial sum is less than or equal to the absolute value of the (n+1)th term.

In other words, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that |a(n+1)| < 0.001, where a(n) is the nth term of the alternating series.

Then, using the Alternating Series Test, we know that the terms of the series must approach zero as n goes to infinity. So, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that:

|a(n+1)| < 0.001

Now, we can rearrange this inequality to solve for n:

|a(n+1)| < 0.001

a(n+1) < 0.001 (since the series is alternating)

(-1)(n+1) * a(n+1) < 0.001 (-1 to account for the alternating signs)

a(n+1) > -0.001

Since the terms of the series are decreasing in magnitude, we can assume that the smallest value of |a(n+1)|. Therefore, we can set n = 1 to get:

|a(2)| < 0.001

|(-1)2 * a(2)| < 0.001

|a(2)| < 0.001

So the absolute error will be less than 0.001 if we use the first two terms of the series to estimate the sum.

The total of the convergent alternating series can be estimated with a minimum of two terms and an absolute error of less than 0.001.

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Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

Answer:

first problem: 1,2,4

second problem: D

Step-by-step explanation:

The bicycle tire needs an amount of 115 pumps to be fully inflated. (Correct choice: B)

In this problem we need to determine the number of pumps needed to inflate the bicycle tire at maximum pressure, this number (n) is equal to the maximum capacity of the tire (V), in ounces, and the mass added by a single pump (p), in ounces:

n = V / p

If we know that V = 640 oz and p = 5.6 oz (1 lb = 16 oz), then the number of pumps is:

n = 640 oz / 5.6 oz

n = 114.286

n = 115

An amount of 115 pumps are needed to inflate the bicycle tire to maximum pressure.

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