Answer:
x=-1
Step-by-step explanation:
Answer:
x=3/5 y=-2.5
Step-by-step explanation:
3x-2y=5, first find the x value which is 3x get rid of the 2y by during 2 times ,then 5/3 since you can't lower it down keep it 5/3, after is 2y same thing you did for 2y to get rid of it you will do 3x, now is 5/2 to get 2.5 or 5/2.
I need help with this question, please
Answer:
d it should be outside the circle
Step-by-step explanation:Hope it helps!!
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Performance measures dealing with the number of units in line and the time spent waiting are called
A. queuing facts.
B. performance queues.
C. system measures.
D. operating characteristics.
Performance measures dealing with the number of units in line and the time spent waiting are called D. operating characteristics.
Operating characteristics are performance measures that provide information about the operational behavior of a system. In the context of queuing theory, operating characteristics specifically refer to measures related to the number of units in line (queue length) and the time spent waiting (queueing time) within a system. These measures help assess the efficiency and effectiveness of the system in managing customer or job arrivals and processing.
The number of units in line is an important indicator of how congested a system is and reflects the amount of work waiting to be processed. By monitoring the queue length, managers can determine if additional resources or adjustments to the system are required to minimize customer wait times and enhance throughput.
Similarly, the time spent waiting, often referred to as queueing time, measures the average or maximum amount of time a customer or job must wait before being serviced. This measure is crucial in assessing customer satisfaction, as excessive wait times can lead to dissatisfaction and potential loss of business.
Operating characteristics provide quantitative insights into these key performance indicators, allowing organizations to make informed decisions regarding resource allocation, process improvements, and service level agreements.
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Find the value of x. Round to
the nearest tenth.
17°
47
X = [
The answer to nearest tenth is 45.0
adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. find the height of a man with a z-score of . round your answer to one decimal place.
The height of a man with a z-score of 0 is 69 inches.
The average height of adult men = 69.0 inches, Standard deviation of adult men = 2.8 inches to find the Z-score the following formula is used:
z = (x- μ)/σ where z is the z-score, x is the value to be standardized, μ is mean and σ is the standard deviation.
To find the height of a man with a z-score of Standardized value(z) = 0
z = (x - μ)/σ
0 = (x - 69)/2.8
x = 69 + 0 (2.8)
x = 69 inches.
Therefore, the height of a man with a z-score of 0 is 69 inches.
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Point d is the center of the inscribed circle of abc. which step can you use to draw the inscribed circle of abc? a. draw arcs of equal lengths intersecting , , and in two points each. b. draw the perpendicular bisectors of , , and that pass through point d. c. label a point e on and draw a line joining e with d. d. draw a line through d that is perpendicular to one of the sides, , , or . e. draw one arc each on and , and find their point of intersection.
The step that can be used to draw an Inscribed Circle of A ABC is to draw the perpendicular bisectors of AB, BC, and AC that pass through point D
Inscribed Circle is a circle that touches each of the three sides of the triangle at exactly one point. Inscribed Circle is the largest circle that can be made in a triangle. The center of the Inscribed Circle is also the center of the triangle, that is, the point where the angle bisectors of the triangle meet.
Steps to draw an Inscribed Circle:
a. construct an angle bisector of each vertex (<ABC, <BAC, <ACB) of the triangle to determine the center of the triangle.
b. draw a line perpendicular to one side of the triangle that passes through its center.
c. draw an Inscribed Circle that passes through the point where the sides of the triangle intersect and the perpendicular from above.
As in the question, it was stated that the center of the Inscribed Circle is point D, so the step that can be used to draw an Inscribed Circle of A ABC is to draw the perpendicular bisectors of AB, BC, and AC that pass through point D
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6(x - 2) -3 ≥ -4 ( -3 + 9) +10
Answer:
2x=5 > -14
Step-by-step explanation:
6(x - 2) -3 ≥ -4 ( -3 + 9) +10
6x-12-3 > 12-36+10
6x-15 > -36+22
6x-15 > -14
6x=15 > -14
3 3
2x=5 > -14
The population of Leadville, CO is 2,600 people and is decreasing at a rate of 4. 4% per
year. Given the equation P(t) = 2600(. 956)* , where P represents the population of
Leadville and t represents the time in years. After how many years will the population
reach one half of the current population? Give your answer to 3 decimal places.
t-
years
The answer is t ≈ 16.038 years. The population of Leadville will reach one-half of the current population after approximately 16.038 years.
To find the number of years it takes for the population of Leadville to reach one-half of the current population, we need to solve the equation P(t) = 2600 * (0.956)^t for t.
The equation represents the population at time t, where P(t) is the population, 2600 is the current population, and 0.956 is the decay factor representing the 4.4% decrease per year.
Setting P(t) to half the current population (1300), we have:
1300 = 2600 * (0.956)^t
Dividing both sides by 2600, we get:
0.5 = 0.956^t
Taking the logarithm of both sides (base 0.956), we have:
log(0.5) = log(0.956^t)
Using the logarithmic property log(a^b) = b * log(a), we can rewrite the equation as:
log(0.5) = t * log(0.956)
Now, we can solve for t by dividing both sides by log(0.956):
t = log(0.5) / log(0.956)
Calculating this using a calculator, we find:
t ≈ -16.038
Since time cannot be negative in this context, we discard the negative value. Therefore, the population of Leadville will reach one-half of the current population after approximately 16.038 years.
Rounding to three decimal places, the answer is:
t ≈ 16.038 years
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What transformation has changed the parent function f(x) = (0.5)x to its new appearance shown in the graph? exponential graph passing through point negative 3, 2 and negative 2, 1 a f(x) − 2 b f(x + 2) c f(x) + 1 d −1 • f(x)
Correct option is A, f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.
What modification has caused the parent function to change?The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.
In the picture below you can see the blue line is the graph of the function
f(x) = log(5x) and the green line is the graph of the function
g(x) = log[5(x + 4)] - 2
Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.
We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.
The function shifts to the left when you add a number to x;
The function moves to the right when you remove a number from x;
The function increases when you add a number to it;
The function decreases when you take a number away from it.
Then we get a function g(x) = log[5 (x + 4)] - 2.
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One group of subjects was given an herbal supplement and another group was given a placebo. After one year, the number of illnesses each group had was compared.
answer choices
- Observational Study
- Experiment
The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .
What is Observation and Experiment ?The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.
Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.
An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.
The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .
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Assume there is a sample of n
1
=4, with the sample mean
X
1
=35 and a sample standard deviation of S
1
=4, and there is an independent sample of n
2
=5 from another population with a sample mean of
X
ˉ
2
=31 and a sample standard deviation S
2
=5. In performing the pooled-variance t test, how many degrees of freedom are there? There are degrees of freedom. (Simplify your answer.)
There are 7 degrees of freedom.
In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)
Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7
Therefore, there are 7 degrees of freedom.
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There are 7 degrees of freedom for the pooled-variance t-test.
To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:
\(\[\text{{df}} = n_1 + n_2 - 2\]\)
where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.
In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:
\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)
In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.
To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.
In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.
Therefore, there are 7 degrees of freedom for the pooled-variance t-test.
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(Absolute value inequalities) 50 points!
-6|4p+2|+8 > -34
Answer
p>5/4 or p<-9/4
Step-by-step explanation:
1. first isolate the absolute value by subtracting 8 and then dividing by -6
2. you then split the absolute value inequality into 4p+2>7 and 4p+2<-7
3. When you solve those, you get p>5/4 and p< -9/4
Answer:
\( - \frac{9}{4} < p < \frac{5}{4} \)
Step-by-step explanation:
1) Subtract 8 from both sides.
\( - 6 |4p + 2| > - 34 -8\)
2) Simplify -34 - 8 to -42.
\( - 6 |4p + 2| > - 42\)
3) Divide both sides by -6.
\( |4p + 2| < \frac{ - 42}{ - 6} \)
4) Two negative numbers makes a positive.
\( |4p + 2| < \frac{42}{6} \)
5) Simplify 42/6 to 7.
\( |4p + 2| < 7\)
6) Rewrite the inequality without the absolute value.
\( - 7 < 4p + 2 < 7\)
7) Subtract 2 from the whole equation.
\( - 7 - 2 < 4p < 7 - 2\)
8) Simplify.
\( - 9 < 4p < 5\)
9) Divide the whole equation by 4.
\( - \frac{9}{4} < p < \frac{5}{4} \)
Therefor, the answer is - 9/4 < p < 5/4.
Salma will rent a car for the weekend. She can choose one of two plans. The first plon has an initial fee of $55 and costs on additional $0.13 per mile driven. The second plan has an initial fee of $50 and costs an additional $0.15 per mile driven. For what amount of driving do the two plans cost the same? miles What is the cost when the two plans cost the same?
Answer:
Miles: 250
Cost: $87.5
Step-by-step explanation:
Plan 1: 250x0.13=32.5
32.5+55=87.5
Plan 2: 250x0.15= 37.5
37.5+50=87.5
What is the formula for test statistic Z?
The formula for the test statistic Z depends on the specific hypothesis test being conducted. However, the test statistic Z can be computed as:
Z = (x - μ) / (σ / √n)
The formula for the test statistic Z is:
Z = (x - μ) / (σ / √n)
where:
x is the sample mean
μ is the population mean (under the null hypothesis)
σ is the population standard deviation (under the null hypothesis)
n is the sample size
This formula is used for a z-test, which is a statistical test that assumes that the population is normally distributed and uses the standard normal distribution to calculate the p-value.
In some cases, the population standard deviation is unknown, and so the sample standard deviation (s) is used as an estimate. In these cases, the formula for the test statistic Z is:
Z = (x - μ) / (s / √n)
where s is the sample standard deviation.
It's important to note that the formula for the test statistic Z can vary depending on the specific hypothesis test being conducted.
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Convert the percent to a fraction.
(remember to fully simplify)
100%
Answer:
1/1 10/10 2/2 100/100
Step-by-step explanation:
The examples are infinite.
a player succeeds at an action if a or is rolled. assuming a fair d10, what is the probability of success? type as:
The probability of success is 1/5. The solution has been obtained by using probability.
What is probability?
In order to calculate the chance of an event, the mathematical notion of probability is used. It only enables us to estimate the likelihood that an event will take place. On a scale of 0 to 1, with 0 representing impossibility and 1 representing a specific occurrence.
We are given that a d10 dice is rolled.
The sample space will be
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
It is given that a player succeeds at an action if a 9 or 10 is rolled.
Probability of getting 9 or 10 = 2/10
Probability of getting 9 or 10 = 1/5
Hence, the probability of success is 1/5.
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Some one help please fast help ASAP
Answer: (x, y) --> (x, -y)
Step-by-step explanation:
This is a reflection over the x-axis so its only the y-intercept that changes.
Answer:
its a reflection
Step-by-step explanation:
If it were a rotation, it wouldnt have overlapped.
If it were a translation, It would have been the wrong way up and not overlapping.
When reflected over line x, it will overlap because it stays rigid and does not change shape or size.
hope this helps :)
NEED HELP ASAP!!! WILL MARK BRAINLIEST!!!
A sample of 500 g of radioactive lead-210 decays to polonium-210 according to the function A(t) = 500 e ^-0.0325, where t is time in years. Find the amount of radioactive lead remaining after (a) 4 yr, (b) 8 yr, (c) 15 yr. (d) Find the half-life.
Answer:
t=4
Step-by-step explanation:
HELP ASAP !!!!
Write and graph linear equations
Answer:
first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1
Step-by-step explanation:
plz do it plz do it all i will givebrainlest and thanks to best answer
Answer:
hey
Step-by-step explanation:
Actual total direct labor $ 655,200 Actual hours worked 37,700 Standard labor-hours allowed for actual output (flexible budget) 36,500 Direct labor price variance $ 23,400 F Actual variable overhead $ 157,120 Standard variable overhead rate per standard direct labor-hour $ 4.20
Answer:
Complete question "Variable overhead is applied based on standard direct labor-hours allowed. Required: Compute the labor and variable overhead price and efficiency variances.
a. Direct labor
Direct labor price variance = (actual rate - standard rate)*actual hrs
(655,200-37700*x) = 23400
x = (655200+23400)/37700
x = 18
Efficiency variance = (Actual hrs - standard hrs allowed)*standard rate
= (37,700 - 36500)*18
= 21600 U
I. Price variance = 23,400 F
II. Efficiency variance = 21,600 U
b. Variable overhead
Price variance = (Actual rate - standard rate)*actual hrs
= (157120 - 37700*4.2)
= 1220 F
Efficiency variance = (Actual hrs - standard hrs allowed)*standard rate
= (37700-36500)*4.2
= 5040 U
I. Price variance = 1,220 F
II. Efficiency variance = 5,040 U
what is divison
anyone know?
tel me
Answer:
Division Means Divide
Step-by-step explanation:
10÷5
5×2 = 10
A group of preschoolers has 7 boys and 19 girls. What is the ratio of girls to boys?
Answer:
2.71:1
Step-by-step explanation:
You find how many girls there are for every boy
sapling a quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. of the bags inspected, 3 had too much salt. which of the conditions for calculating a confidence interval for the population proportion
The condition that is not met is that the sample size must be large enough to assume that the sample proportions are normally distributed.
What is number?Number is a mathematical object used to count, measure, and label. It is one of the fundamental building blocks of mathematics and is essential for any kind of calculation or measurement. Number is an abstract concept that is used in many different ways, from counting objects to expressing complex mathematical systems. Numbers can be used to represent anything from a single item to the entire universe. Numbers are also used to represent abstract ideas such as time, money, and probability.
With a sample size of only 25, it is not possible to assume that the sample proportions follow a normal distribution. As such, calculating a confidence interval for the population proportion of bags with too much salt is not possible.
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Complete questions as follows-
sapling a quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. of the bags inspected, 3 had too much salt. which of the conditions for calculating a confidence interval for the population proportion of bags with too much salt is not met?
On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).
Which statement is true regarding the functions on the graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
Answer:
f(3)=g(6)
Step-by-step explanation:
The statement is true regarding the functions on the graph is f of 3=g of 3. The correct option is B.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given two function f(x) and g(x) which intersect at (3, 6).
Now, when two functions intersect then it means that there is a value of x for which the value of both the functions is equal. This value of x and y is the point at which the two functions intersect.
Hence, the statement is true regarding the functions on the graph being
f of 3=g of 3.
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Which letter is at coordinate position (9, 5)?
OA. Y
OB. R
OC. F
OD. Q
The point R has an abscissa 9 and ordinate 5
Factor and SHOW ALL STEPS: 2x3+10x2+12x
Please need it fast. Please and thank you.
Answer:
2x(x + 2)(x + 3).
Step-by-step explanation:
2x3+10x2+12x
The GCF is 2x so
= 2x(x^2 + 5x + 6)
= 2x(x + 2)(x + 3).
Help plz need this done
Answer:
\( \cos(o) = \frac{12}{13} \)
Step-by-step explanation:
cos O = adjacent / hypotenuse
cos O = 12/13
I hope I helped you^_^
Answer:
Cos 0 = 12/13
Step-by-step explanation:
Adyacent side/hypotenuse
Cos 0 = 12/13
Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 6027 patients treated with this drug, 154 developed the adverse reaction of nausea. Use a 0.01 significance level to test the claim that 3% of users develop nausea. Does nausea appear to be a problematic adverse reaction?
Nausea doesn't appear to be a problematic adverse reaction to this drug.
To evaluate and check the claim that 3% of users have nausea, here we have to implement the use of a hypothesis test
The null hypothesis consist of users who develop nausea is 3%.
The alternative hypothesis consist of users who have nausea greater than 3%.
The test statistic is stated and evaluated as
\(z = (p - P) / \sqrt{(P * (1 - P) / n)}\)
here,
p = sample proportion,
P = hypothesized proportion,
n = sample size.
From the given values from the question,
p = 154 / 6027 = 0.0256 and P = 0.03.
n = 6027.
Staging the values obtained in the formula we get
\(z = (0.0256 - 0.03) / \sqrt{(0.03 * (1 - 0.03) / 6027) }\)
= -2.07
The given critical value for z is 2.33.
After calculating and analyzing the test statistic = -2.07 is less than the critical value = -2.33, therefore we can’t proceed with null hypothesis as it will fail in the process.
Nausea doesn't appear to be a problematic adverse reaction to this drug.
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A $1,000 bond has seven years to maturity and has a coupon rate of 10 percent. Coupon payments are made annually. The bond is currently selling in the market for $1,104. What is the duration of this bond? 6.5 years O 6.3 years 5.4 years O 5.7 years
The duration of this bond is 6.5 years.
Duration is a measure of a bond's sensitivity to changes in interest rates. To calculate the duration of this bond, we need to consider the present value of the bond's cash flows and the timing of those cash flows. In this case, the bond has a face value of $1,000, a coupon rate of 10 percent, and annual coupon payments.
First, we calculate the present value of the bond's cash flows. Since the bond has a coupon rate of 10 percent, the annual coupon payment is $100 ($1,000 x 10%). The bond has a remaining maturity of seven years, so there will be seven coupon payments in total. We can calculate the present value of these cash flows using the formula for the present value of an ordinary annuity:
Present Value = Coupon Payment x [1 - (1 + interest rate)^(-number of periods)] / interest rate
Assuming an interest rate of r, we have:
Present Value = $100 x [1 - (1 + r)^(-7)] / r
Next, we need to find the yield to maturity (YTM) of the bond. YTM is the rate of return an investor would earn by holding the bond until maturity. Since the bond is currently selling for $1,104 in the market, we can set up the following equation:
$1,104 = Present Value + (Coupon Payment / (1 + r)^7)
By solving this equation for r, we can find the yield to maturity. Using a financial calculator or spreadsheet software, we can determine that the yield to maturity is approximately 7 percent.
Now, we can calculate the duration of the bond. The duration formula is the weighted average time until the bond's cash flows are received, where the weights are the present values of the cash flows. In this case, we have seven annual cash flows, so the duration can be calculated as follows:
Duration = [(1 x Present Value of Year 1) + (2 x Present Value of Year 2) + ... + (n x Present Value of Year n)] / Present Value of the Bond
Plugging in the values, we get:
Duration = [(1 x Present Value of Year 1) + (2 x Present Value of Year 2) + ... + (7 x Present Value of Year 7)] / Present Value of the Bond
Calculating the present values for each year using an interest rate of 7 percent, we find:
Present Value of Year 1 = $100 / (1 + 0.07)^1
Present Value of Year 2 = $100 / (1 + 0.07)^2
...
Present Value of Year 7 = $100 / (1 + 0.07)^7
After calculating the present values for each year and plugging them into the formula, we find that the duration of the bond is approximately 6.5 years.
Therefore, the correct answer is 6.5 years.
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Is (–39, 42) a solution to the equation y = x + 81?
Answer:
Yes
Step-by-step explanation:
Yes because if you insert -39 for x and 42 for y then your equation is:
42 = -39 + 81
If you were to solve this equation it would be true.