a coach bought three soccer balls on sale. they normally sell for $26 each. they were on sale for $7 off the original price. the total tax on the ball was $4 . the expression represents the total amount paid. Then explain how to use the order of operations to find the total amount the coach paid for the soccer balls.

Answer:

13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Steps as below:

Answer:

impossible

Step-by-step explanation:

a scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures.

because all 3 angles must be different, they cannot be congruent.

because if angles are congruent, it means that they are of equal size.

the desired definition is a paradox or oxymoron. it contradicts itself and can never be true.

Answer:

it cannot have all angles congruent: impossible.

Step-by-step explanation:

by the definition scalene, it means no angle is the same length. meaning, to have all the sides congruent (the same length) that would be impossible and it can never happen. if you would like a congruent triangle, an isosceles or equilateral is the triangle you're looking for.

Answer:

g(f(2)) = 41

b)41

Step-by-step explanation:

g(f(2)) = 41

f(2)= 2(2²) + 5 = 13

So g(f(2)) → g(n = 13)

g(n = 13)→ 3(13) + 2 = 41

T statistic calculator displays the T-test value along with the mean and standard deviation for the two sets of data.

To find the t-value for a given set of data, enter the sample mean, population mean, standard deviation, and sample size into the t-statistic calculator. Given the other variables, this calculator can also determine the sample mean, population mean, standard deviation, and sample size.

The T-test, also known as the hypothesis testing tool or the hypothesis test static, is a statistical method for assessing whether the means of two sets of data differ in any way that affects their properties. It is a form of inferential static that aids in verifying whether assumption testing that is relevant to the population is being used.

The t-test comes in three varieties. As follows:

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You have the expression 3⁰

Take into account that any number powered to 0 is equal to 1.

Then, you have:

3⁰ = 1

Answer:

exponent

Step-by-step explanation:

cuz that s what it is called

Answer:

expo

Step-by-step explanation:

give them brain, they're correct.

At the significance level, 0.01

p-Value=0.973 > 0.01 which implies fail to reject null hypothesis and no evidence to support the claim.

So, there is no reason to believe that this increase in substrate concentration causes an increase in the mean velocity of the reaction of more than 0.5 micromole per 30 minutes.

We have given that,

A study conducted to see if increasing the substrate concentration has an appreciable effect on the velocity of a chemical reaction.

x₁-bar = 8.8 micromoles

Standaard deviations, s₁= 1.2

x₂-bar = 7.5 ; s₂ = 1.5

n₁ = 12 ; n₂ = 15

significance level = 0.01

Consider the Null hypothesis and alternative hypothesis othesis

H₀ : μ = 0.5

Hₐ : μ > 0.5

Consider,

Pooled Standard Deviation = √(((n₁ - 1)s₁² + (n₂- 1)s₂²)/(n₁ + n₂-2))

plugging all known values

= sqrt(((12-1)(1.2²) + (15 -1)(1.5²))/(12+15-2))

Sp = 1.3761

Now , test statistic :

t =((x₁-bar - x₂-bar) - 0.5) / (Sp×√(1/n₁+ 1/n₂))

substitute all known values we get,

= ((8.8 - 7.5) - 0.5) / (1.3761× sqrt(1/12 + 1/15))

=> t = 1.5

Degree of freedom = n₁+ n₂ - 2

= 12 + 15 - 2

= 25

Now the p-value corresponding to t = 1.5 & df = 25 is 0.073

Here p-value > 0.01 (significance level) thus, we fail to reject null hypothesis.

So there is no enough evidence to support the claim.

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Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

Hope that helps

Have a good day :)

Answer:

3846.5 in.

Step-by-step explanation:

πr² = (3.14)(35)² = 3846.5 in.

Answer:

x = 6.6

Step-by-step explanation:

Proportions:

6.8 ⇒ 8.2

5.5 ⇒ P

P = 8.2 * 5.5 / 6.8

P = 6.6    (Rounded to the nearest tenth)

==================================================

Explanation:

L = length of ladder

Draw an xy axis. Focus on the upper right quadrant where x > 0 and y > 0

Let the origin (0,0) be the base of the wall.

Let y be the height of the top of the ladder and x be the horizontal distance the base of the ladder is from the base of the wall

Since the ladder is sliding down at a rate of 0.25 m/s, this means dy/dt = -0.25

At x = 5, we are given that dx/dt = 0.6

Use the pythagorean theorem to see that

a^2+b^2 = c^2

x^2 + y^2 = L^2

Now apply the derivative to both sides with respect to t. Don't forget to apply the chain rule while doing so.

d/dt[ x^2 + y^2 ] = d/dt[ L^2 ]

d/dt[ x^2 ] + d/dt[ y^2 ] =  d/dt[ L^2 ]

2x*dx/dt + 2y*dy/dt = 0

2(x*dx/dt + y*dy/dt) = 0

x*dx/dt + y*dy/dt = 0

Note how the right hand side goes to 0 because the derivative of a constant is 0. The ladder length L doesn't change, so neither does L^2.

From here we plug in x = 5, dx/dt = 0.6, dy/dt = -0.25 and we solve for y

x*dx/dt + y*dy/dt = 0

5*0.6 + y*(-0.25) = 0

0.3 - 0.25y = 0

3 = 0.25y

0.25y = 3

y = 3/0.25

y = 12

The top of the ladder is y = 12 meters off the ground and the base is x = 5 meters from the wall.

Therefore,

L^2 = x^2 + y^2

L = sqrt(x^2 + y^2)

L = sqrt(5^2 + 12^2)

L = 13

The ladder is 13 meters long.

All of these numbers are Multiples of 2, 8, and 16, and they are between 67 and 113.

A number between 67 and 113 that is a multiple of 2, 8, and 16, we need to find the least common multiple (LCM) of these three numbers.

The prime factorization of each number is:

2 = 2

8 = 2 × 2 × 2

16 = 2 × 2 × 2 × 2

The LCM is the product of the highest power of each prime factor that appears in any of the three numbers. In this case, the LCM is:

LCM(2, 8, 16) = 2 × 2 × 2 × 2 = 16

Therefore, Lena must choose a number that is a multiple of 16 between 67 and 113. To find all the numbers that she could choose, we need to list all the multiples of 16 between 67 and 113.

The smallest multiple of 16 that is greater than or equal to 67 is:

4 × 16 = 64

The largest multiple of 16 that is less than or equal to 113 is:

7 × 16 = 112

Therefore, Lena could choose any of the following numbers:

64, 80, 96, 112

All of these numbers are multiples of 2, 8, and 16, and they are between 67 and 113.

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The statement (a) is true because valid arguments guarantee the truth of the conclusion based on the truth of the premises.

In logic, an argument is a set of premises that support a conclusion. A valid argument is one in which the conclusion necessarily follows from the premises. However, not all arguments are valid. In this context, we will discuss the validity of arguments and determine which of the given statements are true.

a) An argument's premises guarantee the conclusion is true.

This statement is true. In a valid argument, the truth of the premises guarantees the truth of the conclusion. For example, consider the argument:

Premise 1: All dogs are mammals.

Premise 2: Spot is a dog.

Conclusion: Therefore, Spot is a mammal.

The premises of this argument guarantee the truth of the conclusion. Hence, this argument is valid.

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Answer:

The amount in the account for the given principal P=$600, interest rate, r=6% , time t = 9 years ; compounded quarterly n = 4 is $1026

Step-by-step explanation:

We are given:

Principal Amount P=$600

Interest rate r = 6% = 0.06

Time t = 9 years

Compounded quarterly n = 4

We need to find future value A.

The formula used is: \(A=P(1+\frac{r}{n})^{nt}\)

Putting values and finding future value

\(A=P(1+\frac{r}{n})^{nt}\\A=600(1+\frac{0.06}{4})^{9*4}\\A=600(1+0.015)^{36}\\A=600(1.015)^{36}\\A=600(1.71)\\A=1026\)

So, the future value A = $1026

The amount in the account for the given principal P=$600, interest rate, r=6% , time t = 9 years ; compounded quarterly n = 4 is $1026

Answer:

Midpoint (-1,7)

Step-by-step explanation:

To find a midpoint, average the x's and then average the y's (add and divide by 2)

The x-coordinate of the midpoint is: (-4+2)/2

= -2/2

= -1

and the y-coordinate is:

(4+10)/2

= 14/2

= 7

So the midpoint is:

(-1,7)

Answer:

(-1, 7)

Step-by-step explanation:

Midpoint of a line segment

\(\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}\)

\(\textsf{let}\:(x_1,y_1)=(-4,4)\)

\(\textsf{let}\:(x_2,y_2)=(2,10)\)

\(\implies \textsf{Midpoint}=\left(\dfrac{2+(-4)}{2},\dfrac{10+4}{2}\right)=(-1,7)\)

Answer:

\(\frac{13}{32}\)

Step-by-step explanation:

The Starbucks vanilla latte recipe maintains a 3:2 milk-to-coffee ratio, which contributes to its creamy texture. This ratio can be adjusted to make more or less of the beverage while keeping the same proportions. The vanilla flavor comes from vanilla syrup, which is not part of the milk-to-coffee ratio.

According to the given statement, the Starbucks recipe for their vanilla latte includes a ratio of 3 cups of milk for every 2 cups of coffee. Therefore, the following statements can be considered correct:

1. The vanilla latte contains more milk than coffee, as the milk to coffee ratio is 3:2.
2. The vanilla latte is a milk-based coffee drink, as milk is the main ingredient.
3. The vanilla latte has a creamy texture and a sweeter taste due to the high amount of milk used.
4. The vanilla latte can be customized by adding additional flavors, such as vanilla syrup, to enhance its taste.

It is important to note that the given statement does not mention the exact amount of vanilla syrup used in the recipe or any other potential ingredients, so any statements relating to those elements cannot be confirmed as correct. Overall, the 3:2 milk to coffee ratio is a key aspect of the Starbucks vanilla latte recipe.

The Starbucks recipe for their vanilla latte consists of a specific ratio of ingredients: 3 cups of milk for every 2 cups of coffee. To determine the correct statements about the lattes, consider the following:

1. The milk-to-coffee ratio is 3:2. This means that for every 3 cups of milk, 2 cups of coffee are used in the recipe.
2. The proportion of milk in the latte is greater than the proportion of coffee. This contributes to the creamy and smooth texture of the beverage.
3. Doubling the recipe requires 6 cups of milk and 4 cups of coffee, maintaining the 3:2 ratio.
4. Reducing the recipe by half would require 1.5 cups of milk and 1 cup of coffee, again maintaining the 3:2 ratio.
5. The vanilla flavor in the latte is added through the use of vanilla syrup, which is not included in the milk-to-coffee ratio.

In summary, the Starbucks vanilla latte recipe maintains a 3:2 milk-to-coffee ratio, which contributes to its creamy texture. This ratio can be adjusted to make more or less of the beverage while keeping the same proportions. The vanilla flavor comes from vanilla syrup, which is not part of the milk-to-coffee ratio.

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Answer:

which angle pair?

Step-by-step explanation:

The probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.

The Poisson distribution is a probability distribution that describes the number of events occurring in a fixed time interval, given the average rate at which events occur and the independence of events. In this case, the average rate of calls is 3 calls per hour.

The probability of receiving exactly 6 calls next hour can be calculated using the Poisson probability formula:

\(P(X = 6) = (e^(-λ) * λ^6) / 6!\)

where λ is the average rate of calls, e is the base of the natural logarithm, and 6! is the factorial of 6.

Substituting the values, we get:

\(P(X = 6) = (e^(-3) * 3^6) / 6! ≈ 0.090\)

Therefore, the probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.l

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The probability that the secretary will receive 6 calls next hour is approximately 0.0504, or 5.04%

To calculate the probability that the secretary will receive 6 calls next hour, given that the average is 3 calls per hour

and the Poisson distribution applies, follow these steps:

Identify the given information: λ (average calls per hour) = 3, k (number of calls to calculate the probability for) = 6.

Use the Poisson probability formula:

P(k) =\((e^{(-\lambda)} \times\lambda^k) / k!,\)

where P(k) is the probability of k calls,

e is the base of the natural logarithm (approximately 2.71828),

λ is the average rate (3 calls per hour), and

k! is the factorial of k (6 in this case).

Calculate \(e^{(-\lambda)}: e^{(-3)} = 0.04979.\)

Calculate \(\lambda^k: 3^6 = 729.\)

Calculate k!: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.

Substitute these values into the formula: P(6) = (0.04979 × 729) / 720 ≈ 0.0504.

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The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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Answer: 0.28571428571

Step-by-step explanation: 8 dived by 28

The probability of getting 2 tails is option (b) 37.5%

The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.

Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:

P(htt) = 1/2 × 1/2 × 1/2 = 1/8

P(tht) = 1/2 × 1/2 × 1/2 = 1/8

P(tth) = 1/2 × 1/2 × 1/2 = 1/8

So, the probability of getting 2 tails is:

P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8

= 0.375

0.375 multiplied by 100% gives:

P(2 tails) = 37.5%

Therefore, the correct option is (b) 37.5%

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Answer:

Area = 78.5

5 goes inside of the question mark box.

Step-by-step explanation:

π5²

5² = 25

3.14*25=78.5

All the given expressions containing a coefficient of 4 is  4x+2y and 4xy.

A quantity or number that is combined with a variable is regarded as a coefficient. The variable is often multiplied by an integer, which is then typed next to it.

From the given equation:

4x+2y have the coefficient of 4 of variable 'x'.

4xy have the coefficient of 4 of variable 'x' and 'y' both.

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After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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The ratio of the area of a regular hexagon to the area of the smaller hexagon that uses its midpoints as vertices is 4:1. The common factor in this expression is 4

The closed polygonal shape of a regular hexagon has six equal sides and six equal angles. Any regular polygon has equal sides and angles on all sides. Regular pentagons, for instance, have 5 equal sides, and regular octagons have 8 equal sides. When these requirements are not met, polygons might resemble many other asymmetrical shapes. A regular hexagon is formed when six equilateral triangles are placed side by side. The regular hexagon's area then increases to six times that of the same triangle. In this post, let's learn about its features, the formula for area, and the perimeter.

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H0 says that the population means are equal.

In the context of a hypothesis test for the difference of means between two independent populations (x1 and x2), the null hypothesis (H0) states the following about the relationship between the two population means:
H0 says that the population means are equal.
In other words, the null hypothesis assumes that there is no significant difference between the means of the two populations. The alternative hypothesis would then state that the population means are different. Remember that hypothesis testing is a process to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

fonite is amzing

Step-by-step explanation: