what value is NOT located between these two numbers on the line?

Answer:

y = 4 x = 12

Step-by-step explanation:

The blue square I started on my own and ended with a calculator

here's the solution luv

Answer:

3.45x10^2

Step-by-step explanation:

Thankyou

15(x+3) = 2x(12)

15x+45 = 24x

45 = 9x

x = 5

Answer:

I think you need to add them.

Answer:

0.24

Step-by-step explanation:

Miles he drives: x

55.96+0.12x=49.96+0.16x

0.04x=6

x=0.24mi

The approximation for the value of cos(12) using the fourth-degree Taylor polynomial is approximately 505.

We have,

To approximate the value of cos(12) using the fourth-degree Taylor polynomial for cos(x) about x = 0, we can use the formula:

cos(x) ≈ \(1 - (x^2 / 2) + (x^4 / 24)\)

Substituting x = 12 into the formula, we have:

cos(12) ≈ \(1 - (12^2 / 2) + (12^4 / 24)\)

≈ 1 - 72 + 576

≈ 505

Therefore,

The approximation for the value of cos(12) using the fourth-degree Taylor polynomial is approximately 505.

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As per the question we have ─

m = 32

n = 150

We need to evaluate each expression given below ─

25) 2n - 200

Putting the value of n = 150

= 2(150) - 200

= 300 - 200

26) m (-12)

putting the value for m = 32

= 32(-12)

Answer:

25) 100

26) -384

Step-by-step explanation:

25) 2 * 150 -200 = 100

26) 32 (-12) = -384

The correct options are:

The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.

The solution x = 60 represents the total food bill.

What is the equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Since there are 8 friends and they decided to split the bill and tip evenly among themselves, each friend pays an equal share of the total bill, which is the food bill plus the tip. Let x be the food bill.

Then the total bill is x + 16 (the food bill plus the tip), and each friend's share is StartFraction 1 over 8 EndFraction (x + 16).

So, we have the equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction, which represents the situation where the total bill is $76 and there are 8 friends. Solving for x, we get:

StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction

x + 16 = 76

x = 60

Therefore, the total food bill is $60, which is the solution to the equation.

Each friend's share of the food bill and tip is StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 1 over 8 EndFraction (60 + 16) = $9.

The equation 8(x + 16) = 76 is not correct, as it assumes that the total bill is divided equally among 8 people without taking into account the food bill and the tip separately.

hence, The correct options are:

The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.

The solution x = 60 represents the total food bill.

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Answer:

3/8 or

2.67 or

2 67/100

Step-by-step explanation:

2.671×100100=267100

8 divide by 3. Take that and convert to fraction or decimal either or.

Answer:

? = 4.41

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos A = adj / hyp

cos 25 = 4/?

? = 4/ cos 25

? =4.413511676

To the nearest hundredth

? = 4.41

56.1% is the average number of people at the games increase from 2005 to 2012

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The average number of people who attended football games at a stadium in 2005 is 8000.

The average number of people who attended football games at a stadium in 2012 is 12500.

The difference from average number of people from 2005 to 2012

12500-8000

Twelve thousand five hundred minus eight thousand

4500

To find the percentage of increase we need to divide change in number by original number

4500/8000

0.561

Now multiply with 100 because it is a hundredth part.

0.561×100=56.1

Hence 56.1% is the average number of people at the games increase from 2005 to 2012

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The counterexample for the conjecture If the perimeter of a rectangle is 40 units, the area must be at least 1 square unit is: A rectangle with length 19.99 units and width 0.01 unit has a perimeter of 40 units and an area of 0.1999 square unit.

What is counterexample?

The term counterexample refers to an instance or example that makes the statement false. This is used in logic to check if a statement is true or not. Counter example tend to counter the statement being discussed with valid points.

The question wants to show the relationship that may exist between perimeter and area of a rectangle.

The counterexample provided the dimensions that gave the perimeter which is 40 but failed to give area of 1 square unit

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Answer:

Step-by-step explanation:

We have two equations :

Take the value of x in Equation 2 and substitute in Equation 1.

Now, take the value of y and substitute in Equation 2.

Solution

Answer:

The lines intersect at the point (-1, 0)

Step-by-step explanation:

−5(      )−y=5

-5(7y-1) - y = 5    substitute the x=7y-1 into first equation

-35y + 5 - y =5   multiply -5

-36y + 5 = 5        combine like terms

-36y = 0              subtract 5

y=0                      divide by -36

x=7(0)-1                substitute 0 for y in x=7(  )-1

  =-1                      simplify

The lines intersect at the point (-1, 0)

A binomial theorem calculator is an online tool that calculates the expansion of a binomial expression raised to a power

The binomial theorem, also known as the binomial expansion, describes the algebraic expansion of a binomial expression, which is a mathematical expression that consists of two terms. A binomial theorem calculator is an online tool or a software program that calculates the expansion of a binomial expression raised to a power. The binomial theorem calculator can quickly and easily perform this expansion for any given binomial expression and power.

For example, if we have the binomial expression (a + b) raised to the power of 3, the binomial theorem calculator will provide the expanded form:

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

This expansion can be useful in many mathematical calculations and applications, such as probability theory, combinatorics, and algebraic equations.

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a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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Answer:

r = 2

Step-by-step explanation:

3|3 - 5 * 2|- 3 = 18

3|3 - 10| - 3 = 18

3 * 7 - 3 = 18

21 - 3 = 18

18 = 18

(Since there are absolute value signs, the answer to |3 - 5r| will be positive)

Answer:

r=0.8

Step-by-step explanation:

3|3-5r|-3=18

9-15r -3=18

6-15r=18

15r=12

r=0.8

The probability distribution of random variable x is

a) 1.78 is the anticipated value of x;

b) The variance of x is 0.6484.

(a) The expected value of x can be found using the formula:

\(E(x) = Σ[x * f(x)]\)

where x's potential values are all added up.

Using the given probability distribution, we have:

\(E(x) = (0 * 0.27) + (1 * 0.35) + (2 * 0.05) + (3 * 0.25) + (4 * 0.08)\)

\(E(x) = 1.78\)

As a result, 1.78 is the expected value of x.

(b) The variance of x can be found using the formula:

\(Var(x) = E(x^2) - [E(x)]^2\)

where E(x) represents the anticipated value of x and E(x2) represents the expected value of x2.

To find E(x^2), we can use the formula:

\(E(x^2) = Σ[x^2 * f(x)]\)

Using the given probability distribution, we have:

\(E(x^2) = (0^2 * 0.27) + (1^2 * 0.35) + (2^2 * 0.05) + (3^2 * 0.25) + (4^2 * 0.08)\)

\(E(x^2) = 3.33\)

Consequently, the variation of x is:

\(Var(x) = E(x^2) - [E(x)]^2\)

\(var(x) = 3.33 - (1.78)^2\)

\(var(x) = 0.6484\) (rounded to four decimal places)

x's variance is 0.6484

As a result, x's variance is 0.6484.

1.78 is the anticipated value of x

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The sample mean is significantly different from 10 at a 0.1 significance level.

The null hypothesis is a statement about the population parameter that we are testing, and the alternative hypothesis is the complement of the null hypothesis. The significance level is the probability of rejecting the null hypothesis when it is true.

In this case, we can use the following null and alternative hypotheses:

Null hypothesis: The population mean is equal to 10.

Alternative hypothesis: The population mean is not equal to 10.

We will use a two-tailed test because the alternative hypothesis is not directional.

We can use the t-test to test the null hypothesis. The t-test statistic is calculated as follows:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

In this case:

\(t = (11 - 10) / (3.2 / \sqrt{10} ) = 1.58\)

We need to find the critical value of t at the 0.1 significance level with 9 degrees of freedom (10 - 1 = 9). We can use a t-table or a statistical software to find this value. The critical value is ±1.833.

Since the calculated t-value of 1.58 is not greater than the critical value of ±1.833, we cannot reject the null hypothesis. We do not have sufficient evidence to conclude that the population mean is different from 10 at the 0.1 significance level.

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Answer:

a . 90⁰

hope it will help you

Answer: Answer is SSS ok

Answer:

swimmer b swims 100 yards. approximately how many more feet did swimmer a swim than swimmer b? 2.

Step-by-step explanation:

The probability that a randomly chosen part is defective is 0.16, or 16%.

The probability that a randomly chosen part is defective, we need to use the law of total probability.

Let \($D$\) be the event that a part is defective and let \($M_i$\) be the event that the part came from machine \($i$\), for \($i = A, B, C$\).

Then we have:

\($P(D) = P(D|M_A)P(M_A) + P(D|M_B)P(M_B) + P(D|M_C)P(M_C)$\)

60% of the products come from machine A, 30% from machine B, and 10% from machine C.

Therefore:

\($P(M_A) = 0.6$\)

\($P(M_B) = 0.3$\)

\($P(M_C) = 0.1$\)

The probability of a part being defective is 10% if it comes from machine A, 30% if it comes from machine B, and 40% if it comes from machine C.

Therefore:

\($P(D|M_A) = 0.1$\)

\($P(D|M_B) = 0.3$\)

\($P(D|M_C) = 0.4$\)

Substituting these values into the law of total probability, we get:

\($P(D) = 0.1 \cdot 0.6 + 0.3 \cdot 0.3 + 0.4 \cdot 0.1 = 0.16$\)

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Co-factors:Co-factors represent functions that result when some variables are fixed. The function can be divided into various co-factors based on the variables involved. In general, we can say that co-factors are the functions left when one or more variables are held constant.

Consider the following minimal sum-of-products (SOP) expression of a 5-variable function:f = a′bce + ab′c′e + cde′ + a′bc + bce′ + ac′d + a′b′c′d′e′. We need to derive six co-factors of the given function. They are: f_a, f_a', f_a'b', f_a'b, f_ab', and f_ab.1. f_a: We can take f(a=0) to find f_a = bce + b′c′e + cde′ + bc′d + b′c′d′e′2. f_a': We can take f(a=1) to find f_a' = bce + b′c′e + cde′ + bc + b′c′d′e′3. f_a'b': We can take f(a=b'=0) to find f_a'b' = ce + c′e′ + de′4. f_a'b: We can take f(a=0, b=1) to find f_a'b = ce + c′e′ + cde′ + c′d′e′5. f_ab': We can take f(a=1, b=0) to find f_ab' = ce + c′e′ + b′c′d′e′ + bc′d′e′6. f_ab: We can take f(a=b=1) to find f_ab = ce + c′e′ + b′c′d′e′ + bc′d′e′ROBDD:ROBDD stands for Reduced Ordered Binary Decision Diagram. It is a directed acyclic graph that represents a Boolean function. The nodes of the ROBDD correspond to the variables of the function, and the edges represent the assignments of 0 or 1 to the variables. The ROBDD is constructed in a top-down order with variables ordered in a given way. In this case, we are assuming top-to-bottom variable order a,b,c,d,e.

The ROBDD for the given function is shown below:The six nodes of the ROBDD correspond to the six co-factors that we derived in part (a). The fx​ labels are given to show which node corresponds to which co-factor.Changing variable order:If we change the variable order, we might get a smaller ROBDD. This is because the variable ordering affects the structure of the ROBDD. The optimal variable order depends on the function being represented. Without deriving another ROBDD, we can propose the first variable in a new order that is most likely to yield a smaller ROBDD.

We can consider the variable that has the highest degree in the function. In this case, variable c has the highest degree, so we can propose c as the first variable in a new order that is most likely to yield a smaller ROBDD. This is because fixing the value of a variable with a high degree tends to simplify the function. However, the optimal variable order can only be determined by constructing the ROBDD.

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Answer:

Step-by-step explanation:

Endpoints of the segment are (-4, -3) and (3, 5).

Rule for the reflection of the points across a line \(y=x\) is,

(x, y) → (y, x)

By following this rule of reflection,

New endpoints will be,

(-4, -3) → (-3, -4)

(3, 5) → (5, 3)

Therefore, new endpoints of the reflected segment are (-3, -4) and (5, 3).

Step-by-step explanation:

a = 7

(a - 3)² = (7 - 3)² = (4)² = 16

According to the given information in the question order from least to greatest -3.5, -3, -2, -2 1/2, 2.5.

More negative number becomes more small i.e. -3.5 will be smallest in the given question.

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Answer:

23

Step-by-step explanation:

(x+4) ²-3 (Question)

x²+4x+16-3

x²+4x+13

(2)²+4(2)+13 (since x=2)

4+6+13

23

The two swimming pools will have same amount of water using this equation, where x represents the time in minutes

3300 - 24x = 3696 - 35x

information given in the question is as follows

the first pool had 3300 liters of water and drains at a rate of 24 liters per minute

the second pool had 3696 liters of water and drains at a rate of 35 liters per minute.

The given information implies that

every minute in x minutes 24x liters of water is drained from the first tank.

3300 - 24x

Similarly, in the second tank in x minutes 35x liters of water in drained from the second tank

3696 - 35x

The tanks will have equal volume of water when the two equations are equal

3300 - 24x = 3696 - 35x

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Answer:

its C

Step-by-step explanation:

[(3²)²]³ = (3^4)^3 = 3^(4*3) = 3^12

To simplify [(3²)²]³, we can first simplify the expression inside the parentheses. 3² equals 9, so (3²)² equals 81.

Substituting this value, we get [(81)]³. To simplify this, we can apply the power of a power rule which states that when you raise a power to a power, you multiply the exponents.

So, [(81)]³ is equivalent to 81³. Applying the exponent rule, we get 531,441 as the final answer. Therefore, [(3²)²]³ can be simplified as 531,441.

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