State all integer values of x in the interval 1 ≤ x ≤ 8 that satisfy the following
inequality:
5x − 8 > 6

The other angle must also have a measure of 55° if one of the vertical angles has a measure of 55°

Based on the given information, we know that the angle ZXZY has a measure of 55°. We can determine another angle with the same measure by looking for other angles that are vertical angles to ZXZY.

Vertical angles are angles that share the same vertex and are opposite each other, formed by the intersection of two lines or line segments. Therefore, the other angle with a measure of 55° is the angle opposite ZXZY, which would be angle WXYW.

This is because angles ZXZY and WXYW are vertical angles, and as such, they are congruent (have the same measure). So, if one of the vertical angles has a measure of 55°, the other must also have a measure of 55°.

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Answer:

two and eighty-one thousandths

Step-by-step explanation:

Answer: two and eighty-one thousandths

Step-by-step explanation:

      We will write this out in words. The one is in the thousandths place, so we read it as eighty-one thousandths.

2 ➜ two

. ➜ and

81 ➜ eighty-one

0.081 ➜ eighty-one thousandths

2.081 ➜  two and eighty-one thousandths

Answer:

x= -6

v= 1

v= 2

Step-by-step explanation:

-3= x+7-4, combine like terms by subtracting seven from four

-3= x+3, subtract three from both sides

-6= x

8v-3+3v= 8, combine like terms by adding 8v and 3v

11v-3= 8, add three to both sides

11v= 11, divide both sides by 11

v=1

-v+3v=4, combine like terms by adding -v and -3v

2v= 4, divide both sides by 2

v= 2

Answer:

-3=x+7-4

-3-7+4=x

x=-6

8v-3+3v=8

8v+3v=8+3

11v=11

V=1

-v+3v=4

2v=4

V=2

Step-by-step explanation:

To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.

We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.

To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.

Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.

Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.

We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.

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As per the concept of hypothesis testing, the p-value of the test static is  0.0837

Hypothesis testing:

In statistics, when the alternative hypothesis is of the "greater than or greater than or equal to" type, the p-value can be calculated by calculating the probability of the z statistic being greater than the test statistic value.

Given,

Here we have the mayor of a town has proposed a plan for the annexation of a new community. and the political study took a sample of 800 voters in the town and found that 63% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 60%. testing at the 0.02 level.

Here we need to find the p-value of the test statistic.

While we looking into the given question we have identified the following hypothesis,

=> H0 : p <=0.6

=> H1: p > 0.6

And the value of alpha=0.02 p{reject H0 | H0 true} test statistic is a z from a 1 way 1 proportion test

So, the z value is z> 7.1286

Then the z value is calculated as,

=> 0.03/sqrt(0.6*0.63/800)

=> z = 1.3801

Therefore, the reject H0, the true proportion is greater than 60% and the p-value is 0.0837

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Answer:

ans = <ebc= 115°

hope this will help

.

.

Answer: B not sure if I’m right though .

Step-by-step explanation:

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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A linear function can be written in the form f(x) = mx + b.  the correct answer is a. linear.

In the context of mathematical functions, a linear function represents a straight line on a graph. It has a constant rate of change, meaning that as x increases by a certain amount, the corresponding y-value increases by a consistent multiple. The general form of a linear function is f(x) = mx + b, where m represents the slope of the line, and b represents the y-intercept, which is the point where the line intersects the y-axis.

The slope, m, determines the steepness of the line, while the y-intercept, b, represents the value of y when x is equal to zero. By knowing the values of m and b, we can easily plot the line on a graph and analyze its properties, such as whether it is increasing or decreasing and where it intersects the axes.

Therefore, the correct answer is a. linear.

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Answer:

87

Step-by-step explanation:

the measures of the angles of the triangle are A = 26.29 degrees, B = 131.45 degrees, and C = 22.29 degrees.

How to solve angles?

To solve for the angles of a triangle, we need to use the fact that the sum of the angles of a triangle is equal to 180 degrees. We can use this fact to set up equations based on the given information.

Let's start by assigning variables to the angles of the triangle. Let A be the measure of angle A, B be the measure of angle B, and C be the measure of angle C.

We are given that angle B is 5 times angle A, which we can express as B = 5A. We are also given that angle C is 4 times less than angle A, which we can express as C = A - 4.

Using the fact that the sum of the angles of a triangle is 180 degrees, we can write the following equation:

A + B + C = 180

Substituting the expressions we found for B and C, we get:

A + 5A + (A-4) = 180

Simplifying the equation, we get:

7A - 4 = 180

Adding 4 to both sides of the equation, we get:

7A = 184

Dividing both sides by 7, we get:

A = 26.29

Now that we know the measure of angle A, we can use the expressions we found for B and C to find their measures:

B = 5A = 131.45

C = A - 4 = 22.29

Therefore, the measures of the angles of the triangle are A = 26.29 degrees, B = 131.45 degrees, and C = 22.29 degrees.

In summary, we used the fact that the sum of the angles of a triangle is 180 degrees and the given information about the relationship between the angles to set up an equation and solve for the measure of angle A. We then used the expressions we found for angles B and C to find their measures.

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Juan bought 4.5 lbs for $7.98 per lb

This implies that 1 lb is sold at the rate of $7.98

1 lb -------- $7.98

4.5lb ------ $x

Introduce cross multiplication

1 * x = 7.98 x 4.5

x = $35.91

Therefore, 4.5lbs is sold at the rate of $35.91

The tax sales is 6%

Total amount = original price + 6% of original price

Total amount = 35.91 + 6/100 x 35.91

= 35.91 + 0.06 x 35.91

= 35.91 + 2.1546

= $38.0646

The total amount Juan paid is $38.0646

The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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Answer:

5×(-4) = -20

(-1) × 4 = -4

Step-by-step explanation:

Here it' sayin when a positive number ( it may be odd or even ) gets multiplied with an even number ( it may be positive or negative ) , the product will be positive number.

5×(-4) = -20 .Here 5 is a positive number & 4 is a negative even number but the product -20 is a negative number. So it contradicts the statement.

(-1) × 4 = -4 . Here -1 is a negative number & 4 is a positive even number but the product -4 is a negative number. So it contradicts the statement.

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

C

Step-by-step explanation:

The converse angles Theorem states that if two same side interior angles that are cut by a transversal add up to 180, the lines containing thr transversal are parallel.

The transversal cut line r and s but 143+47=190 not 180.

So c fits this description.

No, Sanjit does not have enough pins to make all 25 frames because he only has a total of 144 pins, which is 6 pins short of the required 150 pins.

To determine if Sanjit has enough pins to make all 25 frames, we can calculate the total number of pins required and compare it with the number of pins he has.

Each frame requires 6 pins, and Sanjit wants to make 25 frames. So the total number of pins needed is 6 pins/frame \(\times\) 25 frames = 150 pins.

Sanjit has 4 boxes of pins, with each box containing 36 pins.

Therefore, the total number of pins he has is 4 boxes \(\times\) 36 pins/box = 144 pins.

Comparing the total number of pins required (150 pins) with the number of pins Sanjit has (144 pins), we can see that Sanjit does not have enough pins to make all 25 frames.

He is short by 6 pins.

So the answer is No, Sanjit does not have enough pins to make all 25 frames.

To ensure he has enough pins, Sanjit would need to acquire at least 6 more pins either by purchasing additional boxes or obtaining them from another source.

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Answer:

c

Step-by-step explanation:

The percentage of the people surveyed who were completely satisfied with the​ car is 65%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

Number of people that were completely satisfied = 1,365

Total number of people = 1365 + 515 + 220 = 2100

Percentage = 1365/2100 x 10 = 65%

Hence "The percentage of the people surveyed who were completely satisfied with the​ car is 65%".

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The focal length of the lenses needed for vision correction is approximately -20.20 cm, which means they are concave lenses (used for myopia).

As per the question given,  

The prescription for a new pair of glasses is given in dioptres, a unit of measure used to describe the refractive power of a pair of glasses. In this case, a prescription of -4.95 D means that the lenses required for vision correction have a refractive power of -4.95 dioptres.

To determine the focal length of your lenses in centimetres, you can use the following formula:

focal length (cm) = 100 / refractive power (diopters)

Using Recipes -4.95D as an example, the focal length can be calculated as follows:

focal length (cm) = 100 / -4.95 D = -20.20 cm

It is important to note that a negative sign on your prescription indicates that you are nearsighted.

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Answer:

11. 4

12. 2

13. 2

14. 2

15. 3

Step-by-step explanation:

Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.

To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.

11.

4x³y has degree 4

3x²y² has degree 4

-y³ has degree 3

The highets degree of all terms is 4, so the degree of the polynomial is 4.

12.

a has degree 1

b has degree 1

-c² has degree 2

The degree of the polynomial is 2.

13.

The degrees of the terms are, in order, 2, 2, 2.

The degree of the polynomial is 2.

14.

The degrees of the terms are, in order, 1, 2, 1.

The degree of the polynomial is 2.

15.

The degrees of the terms are, in order, 3, 2, 1.

The degree of the polynomial is 3.

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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The expected real rate of interest can be calculated by subtracting the expected inflation rate from the yield of the Treasury bill. In this case,  the expected real rate of interest is 1.5%.

The real rate of interest represents the return on an investment adjusted for inflation. It indicates the actual purchasing power gained from an investment after accounting for the erosion of value due to inflation. To calculate the expected real rate of interest, we subtract the expected inflation rate from the nominal interest rate.

In this scenario, the one-year Treasury bill yields 4.5%, which is the nominal interest rate. The expected inflation rate is 3%. To determine the expected real rate of interest, we subtract the expected inflation rate from the nominal interest rate: 4.5% - 3% = 1.5%.

Therefore, the expected real rate of interest is 1.5%. This means that after adjusting for the expected inflation rate of 3%, the investor can expect a real return of 1.5% on their investment in the one-year Treasury bill.

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Answer:

Step-by-step explanation:

To find Mr.Santos's age subtract morgan's age from their combined age

44-15=29

Therefore Mr. Santos age is 29 years

Hope that helps

If the alternative hypothesis is that the proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be that there is no significant difference in the proportion of items between population 1 and population 2.

Based on the information provided, the null hypothesis should be:

The null hypothesis is that the proportion of items in population 1 is less than or equal to the proportion of items in population 2.

This is denoted as H₀: P₁ ≤ P₂. The alternative hypothesis, as you mentioned, is that the proportion of items in population 1 is larger than the proportion of items in population 2, which is represented as H₁: P₁ > P₂.

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Rewrite 13/5 as 26/10

Add the two pieces together:

26/10 + 33/10 = 59/10

Rewrite 7 meters as 70/10

Subtract the two pieces:

70/10 - 59/10 = 11/10 meter left

Answer:

A. coefficient

Step-by-step explanation:

A coefficient is any number before a variable and multiplying with it. For example, 7t. 7 is the coefficient and t is the variable.

Answer:B

Step-by-step explanation:

Answer:

B-  \(x\leq 1\)

Step-by-step explanation:

On an inequality graph when the dot is filled in that means it is \(\leq\) or \(\geq\).

So, on this graph, the dot is filled in and pointing to the right.

Therefore, x is less than or equal to 1

or,  \(x\leq 1\)

Answer:6 hours and 31 minutes

Step-by-step explanation:

Time taken = Total work / Rate of work

Let's assume that the capacity of the pond is C.

The rate of work of the first water tank is C/16, which means it can refill 1/16th of the pond in 1 hour.

Similarly, the rate of work of the second water tank is C/11, which means it can refill 1/11th of the pond in 1 hour.

When both tanks are working together, their rates of work add up, so the combined rate of work is:

(C/16) + (C/11)

To find the time taken to refill the pond when both tanks are working together, we can use the formula:

Time taken = Total work / Rate of work

Since the total work is to refill the entire pond, which has a capacity of C, we can substitute this value:

Time taken = C / [(C/16) + (C/11)]

Now we can simplify the expression by finding the common denominator:

Time taken = C / [(11C + 16C) / (16 x 11)]

Time taken = C / (27C / 176)

Time taken = 176 / 27

Time taken = 6.5185 hours (rounded to four decimal places)

Therefore, it will take approximately 6.5185 hours, or 6 hours and 31 minutes, to refill the drained pond if both water tanks are working at the same time.

Answer:

$160.75

Step-by-step explanation:

Step one:

given data

The resort charges $20.75 per hour in addition to a $35 deposit to rent a snowboard

The time spent from 8:30 am to 12:30 pm = 4hours

Step two:

Let the number of hours be and the total cost be y

Now the expression for the situation can be represented as

y= 20.75+35x

for x= 4

y=20.75+35(4)

y=20.75+140

y=160.75