Answer:
Graph C corresponds to x<10.
“What if you have negative exponents in the denominator? How do you change it into positive exponents?”
The negative exponents in the denominator change it into positive exponents are 1/(2⁻³) = 8, 1/(2x⁻³) = (1/2)x³ and 4/(2(3⁻³)) = (4/2)×3³ = 54
How do you change negative exponents in the denominator into positive exponents?
If you have a fraction with a negative exponent in the denominator, you can change it into a positive exponent by reversing the fraction and taking the reciprocal.
For example, if you have the fraction 1/(x⁻²) you can change it to x² by flipping the fraction and taking reciprocal: 1/(x⁻²) = 1/(1/x²) = x²
Note that when you have a negative exponent in the denominator, it means that the variable is in the denominator and the reciprocal can be taken to move the variable to the numerator, as shown above.
Thus, we can solve the given questions as follow:
1/(2⁻³) = 2³ = 8
1/(2x⁻³) = (1/2)x³
4/(2(3⁻³)) = (4/2)×3³ = (2)×3³ = 2 × 27 = 54
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A sample of 46 task has been considered and was analyzed. It was found out that the values 35 and 2.9 are obtained for the sample mean and the population standard deviation, respectively. Construct a 95% confidence interval for the population mean. Solve the following questions and express your final answer in 2 decimal places whenever possible.lower confidence interval of the population mean
The lower confidence interval of the population mean is 34.16.
To construct a 95% confidence interval for the population mean, we can use the formula:
CI = sample mean ± (z-score)(standard error)
Where the z-score is determined by the level of confidence and can be found using a z-table or calculator. For a 95% confidence interval, the z-score is 1.96.
The standard error can be calculated using the formula:
standard error = population standard deviation / √(sample size)
Substituting the given values, we get:
standard error = 2.9 / √46 = 0.427
Now we can plug in the values into the formula to get the confidence interval:
CI = 35 ± (1.96)(0.427) = 35 ± 0.837
The lower confidence interval of the population mean is obtained by subtracting the margin of error from the sample mean:
lower confidence interval = 35 - 0.837 = 34.16 (rounded to 2 decimal places)
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How good are you setting goals? 3 sentences for honors
Answer:
Be more productive
Step-by-step explanation:
This could be a goal
PLEASE HELP the question is on paper
a. The solution to the system of equations that is graphed in the diagram is: (6, -1).
b. This is the point where the lines intersect each other.
How to Find the Solution of System of Equations Graphically?To find the solution of the system of equations graphically, we plot the equations as lines on a coordinate plane and look for the point of intersection, which represents the solution to the system. If the lines are parallel, there is no solution, and if they overlap, there are infinitely many solutions.
a. The solution as shown in the graph given is: (6, -1).
b. We know this because the point where the two lines intersect is the solution of a system of equations.
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can someone double check this for me please, I got 83 and it's not an answer choice lol
Answer:
It's number 12
Step-by-step explanation:
I just did the math.
A square rug has an area 86ft squared Write the side length as a square root. Then decide if the side length is a rational number.
Answer:
9.277
Step-by-step explanation:
It is an irrational number.
Explanation
Since area is length squared, length of a side of a rug is simply the square root of 86.
The square root of 86 is a rational number if 86 is a perfect square. It is an irrational number if it is not a perfect square. Since 86 is not a perfect square, it is an irrational number.
Hope this answer will help!
HELP PLEASE ILL MARK YOU BRAINLIST…explain how to do the thing and the meaning of the symbol
Answer: (-5,8)
Step-by-step explanation:
X: 1 + (-6) = -5
Y: 2+6 = 8
Lea earned $24 babysitting. She spent ⅔ of that amount on a gift for her bestie, ¼ on snacks. What fraction of her earning is left? How much money does she have left?
Answer:
5/12, $10
Step-by-step explanation:
Lea earned $24 babysitting. She spent ⅔ of that amount on a gift for her bestie, ¼ on snacks. What fraction of her earning is left? How much money does she have left?
Let the total amount earned be 1
Given
Amount on snacks = ¼
Amount on babysitting = ⅔
Required
Fraction left
Fraction left = Total -(snacks+babysitting)
Fraction left = 1-(1/4+2/3)
Fraction left = 1-(3+4/12)
Fraction left = 1-7/12
Fraction left = 5/12
Amount of money she has left = 5/12 × 24 = 5×2 = $10
Hence she has $10 left
of cion Find the value of t(5) if you are give t(3)=1 and the non-recursive formula is given as t(1)=1 t(k)=2t(k-1)-1 (k>1) Answer:
The non-recursive formula t(k) = 2t(k-1) - 1 (k > 1) is given, and we are given the initial condition t(3) = 1. To find the value of t(5), we can use the non-recursive formula
We are given the non-recursive formula t(k) = 2t(k-1) - 1 (k > 1) with the initial condition t(3) = 1. To find t(5), we can use the non-recursive formula to compute the subsequent terms.
Using the formula, we can calculate t(4) as follows:
t(4) = 2t(4-1) - 1= 2t(3) - 1= 2(1) - 1= 1.
Similarly, we can find t(5) using the formula:
t(5) = 2t(5-1) - 1= 2t(4) - 1= 2(1) - 1= 1.
Therefore, the value of t(5) is 1, obtained by applying the non-recursive formula to the given initial condition and recursively computing the subsequent terms in the sequence.
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Adam went to the store to buy some
walnuts. The price per pound of the
walnuts is $5.75 per pound and he has a
coupon for $4.50 off the final amount.
With the coupon, how much would Adam
have to pay to buy 5 pounds of walnuts?
Also, write an expression for the cost to
buy p pounds of walnuts, assuming at least
one pound is purchased.
Answer:
Adam payed $4.25 for 5 lbs of walnuts. The equation for this is 5.75p-4.50
Step-by-step explanation:
The reason this is the eqaution is because 5.75 is the price per pound. "p" represents how many pounds and -4.50 is the coupon.
What is the slope? Loooook atttt the chartttt ✨
Answer:
m = 3/5
Step-by-step explanation:
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Step 1: Find 2 coordinates
(0, 80)
(-50, 50)
Step 2: Find slope m
m = (50 - 80)/(-50 - 0)
m = -30/-50
m = 3/5
Answer:
chart.
Step-by-step explanation:
ah yes chart.
Teacher chooses to students in a class of 15 girls and 10 boys the students are randomly choosing what is the probability that the teacher chooses to girls
Answer:
7/20
Step-by-step explanation:
So first we know that there are a total od 25 students
15+10=25
And the probability of choosing the first girl is 15/25 or 3/5 simpler terms.
Now to be able to choose another girl in a row just multiply the then probability
So we started off with 25, if a girl was choosen, the population would b 24
and with 24, there is a missing girl so instead of 15 it is 14
now 14/24 or 7/12 simplified
multiply the two
7/12*3/5=21/60
Simplified
7/20
x-2y = 3
2x + y = 11
What is the value of x
Answer:
x=5 y=1
Step-by-step explanation:
Like x^2-4x+3=0 or sin(x)=1.
short answer is that x equals 1.
Which professionals most directly use geometry in their work? A. accountants B. astronomers C. judges D. pharmacists E. politicians\
Answer:
Astronomers directly use geometry in their work rather than accountants , judges, pharmacist and politicians.
They used geometry to measure velocity , direction, distance, relativity, momentum, and probability. They used it to look at objects in the sky with a telescope by setting a required angle to get a proper view .
But Accountants, judges, pharmacist and politicians are not in use of geometry directly or frequently.
Hence, Option 'B' is correct.
Step-by-step explanation:
Answer: b
Step-by-step explanation:
At the marget 8 apples cost 4 dollars how much does 9 apples cost
Answer:
8 /4 = 2
answer: each apple cost 2$
Answer:
$4.50.
Step-by-step explanation: Since the market is selling 8 apples for $4, we can determine that one apple is 50 cents. Knowing that information, we can apply that same rule to 9 apples, resulting in a total of $4.50. Hope this answered your question.
HELP please hurry!!
Which number line shows all the values of that make the inequality -3x + 1 < 7 true?
Answer: D
Step-by-step explanation:
-3x + 1 < 7
subtract 1 from both sides
-3x < 6
divide each side by -3
x > -2 (flip the greater than/less than sign because you divided by a negative)
-2 is not included so it is an open dot, and answers include all numbers greater than -2 so the answer will be D. Hope this helps!
Answer:
Option D
Step-by-step explanation:
–3x + 1 < 7
Isolate x by subtracting 1 from both sides of the inequality:
–3x + 1 – 1 < 7 – 1
–3x + 0 < 6
Simplify –3x < 6 by dividing both sides of the inequality by –3:
\(\frac{-3x}{-3} < \frac{6}{-3}\)
Use Division property of inequality, which reverses the inequality symbol when dividing both sides of the inequality by a negative number. Therefore:
\(\frac{-3x}{-3} > \frac{6}{-3}\)
x > – 2
Solution: x > –2
Interval notation: [(–2, ∞)]
The Chambers family has a net monthly income of $6,500.
A circle graph titled Chambers Family Budget. Housing is 25 percent, Food is 20 percent, Savings is 7 percent, Transportation is 12 percent, medical is 10 percent, clothing is 18 percent, emergency fund is 8 percent.
If the family decides to reduce its clothing budget by $200 a month, how much will the new clothing budget be? Round to the nearest dollar.
$161
$853
$970
$1,170
Mark this and return
what is the sum of 3,3,6
Answer:
12
Step-by-step explanation:
Sum means addition. 3 + 3 + 6 = 12
Answer:
12
Step-by-step explanation:
i hope this is what you meant
the president of doerman distributors, inc., believes that 30 %of the firm's orders come from first-time customers. a simple random sample of 100 orders will be used to estimate the proportion of first-time customers. use z-table. a. assume that the president is correct and . what is the sampling distribution of for this study?
The probability of success (p) would be 0.30 and the probability of failure (q) would be 0.70.
Binomial distributions are probability distributions of the number of successes in a fixed number of trials.
The probability of success (p) and the probability of failure (q) must remain the same for each trial.
The probability of success and failure can be represented as a proportion, a percentage, or a decimal.
The sum of the probabilities of success and failure must equal 1.
The mean of the binomial distribution is equal to np.
Where n is the number of trials and p is the probability of success.
The standard deviation of the binomial distribution is equal to npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.
The z-table can be used to calculate the probability of a given number of successes or failures in a binomial distribution.
The sampling distribution of this study would be a binomial distribution, as it is a study of the proportion of first-time customers out of 100 orders.
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if katie scored a 93 on a test and her calculated z score was 2.14, what does that mean
A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.
Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.
A z score represents the number of standard deviations a data point is from the mean of the data set.
A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.
The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:
z = (x - μ) / σ
= (93 - 80) / 5
= 2.6
Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.
Katie's score is 2.6 standard deviations above the mean.
A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.
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a high school principal is deciding which electives will be offered to all students during the next school year. she plans to survey using a systematic sample. which of the following describes a systematic sample
A systematic sample is a sampling method in which members from a population are selected in a regular and systematic way.
What is systematic sample? Systematic sampling is a probability sampling technique in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval. In other words, the population is divided into subgroups of equal size and a randomly selected member of each subgroup is chosen. Systematic sampling is useful when a larger sample is needed, and when it is difficult to select members from the population. It is also beneficial because it reduces the possibility of sample bias and increases the accuracy of the results. Additionally, it is relatively easy to implement, which makes it a popular sampling technique for researchers. However, systematic sampling has some drawbacks. Since the population is divided into equal subgroups, the sample size could be unbalanced. Thus, it is important to ensure that the subgroups are of equal size. Additionally, the periodic interval used to select sample members should be carefully chosen in order to avoid bias. Overall, systematic sampling is a practical and effective way to select a representative sample from a larger population. It can be used when a larger sample size is needed and when it is difficult to select members from the population in a random manner. However, it is important to ensure that the subgroups are of equal size and that the periodic interval used is chosen carefully in order to avoid bias.To learn more about systematic sample refer to:
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rcentage of people who completed or more years of college listed by state are the percentages of the population who have completed or more years of a college education. construct a frequency distribution with classes.
The frequency distribution table of the data is illustrated below.
The data we have been given represents the percentage of people who have completed 4 or more years of college education in different states. To create a frequency distribution, we need to first decide on the number of classes we want to use. In this case, we will use 7 classes.
Next, we need to determine the range of values for each class. To do this, we first find the minimum and maximum values in the data set, which are 18.9 and 37.9, respectively.
The range of values for each class will be (max value - min value) / number of classes, which in this case is (37.9 - 18.9) / 7 = 2.86.
We will start with the first class, which will include all values from 18.9 to 21.76 (the lower limit of the first class plus the range of values for each class). The next class will include values from 21.76 to 24.62, and so on, until we reach the final class which will include all values from 33.18 to 36.04 (the upper limit of the final class plus the range of values for each class).
To create the frequency distribution, we count the number of values in the data set that fall into each class. For example, the first class includes values between 18.9 and 21.76, and there are 2 values in the data set that fall into this range (21.4 and 20.0). We continue this process for each class until we have a table that shows the frequency of values in each class.
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Complete Question:
Percentage of People Who Completed 4 or More Years of College Listed by state are the percentages of the population who have completed 4 or more years of a college education. Construct a frequency distribution with 7 classes.
21.4,26.0,25.3,19.3,29.5,35.0,34.7,26.1,25.8,23.4,27.1,29.2,24.5,29.5,22.1,24,3,28.8,20,0,20.4,26.7,35.2,37.9,24.7,31.0,18.9,24.5,27.0
You purchase a computer for $875.00 plus 5% sales tax.
You decide to finance it through the store's 0% program for 12 months. The terms state you pay nothing until the 12 months are over. When you receive the
bill, you forget to pay it and are assessed a late fee of $39.00 plus the interest accrued to that point at 14.25% APR. How much interest will you be charged?
O $130.25
• $130.92
O $136.48
O $124.69
You will be required to pay $130.92 in interest. So, option 2 is correct.
What is meant by interest?Simple interest is calculated using the following formula: Simple Interest (SI) is calculated as P R T / 100. P stands for the principal sum, R for the interest rate, and T for the interest period. The total amount due is the sum of the principal plus the simple interest, or P + SI.
This specific percentage represents the loan's interest rate. The cost of borrowing money is called interest, and it is usually expressed as a percentage, such as an annual percentage rate (APR). Interest may be paid to lenders for the use of their money.
You shell out $875.00 for a PC plus 5% sales tax.
Thus, the final price is 875+(0.05875)
= $918.75.
Rate per month: 14.25/12/100
= 0.011875
So, the rate for a year is 12 x 0.011875
=$130.92.
Therefore, you will be required to pay $130.92 in interest.
Hence, option 2 is correct.
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Assume that the demand curve D(p) given below is the market demand for widgets:
Q=D(p)=2272−19pQ=D(p)=2272-19p, p > 0
Let the market supply of widgets be given by:
Q=S(p)=−3+6pQ=S(p)=-3+6p, p > 0
where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price.
What is the equilibrium price?
Please round your answer to the nearest hundredth.
What is the equilibrium quantity?
Please round your answer to the nearest integer.
What is the price elasticity of demand (include negative sign if negative)?
Please round your answer to the nearest hundredth.
What is the price elasticity of supply?
Please round your answer to the nearest hundredth.
The price elasticity of demand at the equilibrium point is approximately -0.99.
To find the equilibrium price, we need to set the demand equal to the supply:
2272 - 19p = -3 + 6p
Solving for p, we get:
25p = 2275
p = 91
Therefore, the equilibrium price is $91.
To find the equilibrium quantity, we can substitute the equilibrium price into either the demand or supply function:
Q = 2272 - 19(91) = 1743
Therefore, the equilibrium quantity is 1743 widgets.
To find the price elasticity of demand at the equilibrium point, we can use the formula:
E_d = (p/Q)(dQ/dp)
At the equilibrium point, p = 91 and Q = 1743. Taking the derivative of the demand function with respect to p, we get:
dQ/dp = -19
Substituting in p and Q, we get:
E_d = (91/1743)(-19) = -0.99
Therefore, the price elasticity of demand at the equilibrium point is approximately -0.99.
To find the price elasticity of supply at the equilibrium point, we can use a similar formula:
E_s = (p/Q)(dQ/dp)
Taking the derivative of the supply function with respect to p, we get:
dQ/dp = 6
Substituting in p and Q, we get:
E_s = (91/1743)(6) = 0.30
Therefore, the price elasticity of supply at the equilibrium point is approximately 0.30.
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The diagram shows a triangle.
All the measurements are in cm.
The perimeter of the triangle is 70 cm.
The area of the triangle is A cm.
Work out the value of A.
4x + 1
3x - 1
-
Зх
Answer: 210
Explanation:
Recall that the perimeter is the distance around the figure. It's the amount of fencing needed to enclose such a shape.
Add up all three sides and set the sum equal to the perimeter 70. Then solve for x.
side1+side2+side3 = perimeter
(3x)+(3x-1)+(4x+1) = 70
10x = 70
x = 70/10
x = 7
We can then calculate each side
horizontal leg = 3x = 3*7 = 21vertical leg = 3x-1 = 3*7-1 = 21-1 = 20hypotenuse = 4x+1 = 4*7+1 = 28+1 = 29Notice how 21+20+29 = 70 to confirm we have the correct side lengths.
Once we know the horizontal and vertical leg (aka base and height), we can find the area.
Area = 0.5*base*height
Area = 0.5*21*20
Area = 210 square cm
Step-by-step explanation:
first you have to find x . Then you can add them and equal them with triangle area.
Answer the following: (10 points) a. Find the area to the right of z= -1 for the standard normal distribution. b. First year college graduates are known to have normally distributed annual salaries wi
The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.
a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.
From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:
Area to the right of z = -1 = 1 - 0.1587 = 0.8413
Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.
b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.
If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.
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round 8.547 to the nearest whole number
Answer:
9
Step-by-step explanation:
8.547 = 9.000
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
\(\huge\boxed{x = 36\°}\)
Step-by-step explanation:
According to secant angle theorem:
\(x = \frac{1}{2} (mCDF-mBJH)\)
Where mCDF = 140 , mBJH = 68
\(x = \frac{1}{2} (140-68)\)
\(x = \frac{1}{2} (72)\)
x = 36°
can someone please help! :)
Jason is equally splitting 9 pounds of sand into 4 buckets. How many pounds of sand will be in each bucket?
FRACTION
Answer:
Your answer is 2 1/2.
Step-by-step explanation:
Divide 9 pounds of sand into 4 buckets, or 9÷4. This equals 2.5 pounds of sand in each bucket.
Answer:
2 1/4
Step-by-step explanation:
Based on the given conditions, formulate: 9/4
Evaluate the equation/expression: 2.25
get the result: 2.25
Answer: 2.25
2 1/4