Answer:
She will receive $24,000 after paying taxes
Step-by-step explanation:
This question can be solved using a rule of three.
20% of her money has to go to the state for taxes. So she will receive 100-20 = 80%. $30000 is 100% = 1. How much is 80% = 0.8?
$30000 - 1
$x - 0.8
x = 30000*0.8
x = 24000
She will receive $24,000 after paying taxes
I need some help on this
Answer: The answer is B
Step-by-step explanation:
Answer:
Option B is correct
Step-by-step explanation:
cos (3pi/4) = -cos(pi - 3pi/4) = -cos(pi/4) = -sqrt(2)/2
=> Option B is correct
17:HELP ME PLEASEEvaluate x-(-20) for x=16
Answer:
36
Step-by-step explanation:
Answer:
36Solution,
X = 16 [ Given]
Now,
\(x - ( - 20)\)
Plugging the value of X
\(16 - ( - 20)\)
\( = 16 + 20\)
\( = 36\)
Hope this helps..
Good luck on your assignment..
In the diagram, is a diameter of circle O. If the slope of is , what is the slope of ?
The slope of line AB is 2.
How to find the slope of line AB?In the figure, we have a right triangle ABC.
Thus, AB is perpendicular to BC.
Recall that:
If two lines are perpendicular, then the product of their slopes is equal to -1. Thus:
m₁ * m₂ = -1
In this case:
mAB * mBC = -1
Since mBC = -1/2. We have:
mAB * (-1/2) = -1
mAB = -1 / (-1/2)
mAB = 2
Therefore, the slope of line AB is 2.
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Complete Question
Check attached image
A hospital director is told that 32% of the emergency room visitors are uninsured. The director wants to test the claim that the percentage of uninsured patients is under the expected percentage. A sample of 160 patients found that 40 were uninsured. Determine the P-value of the test statistic. Round your answer to four decimal places.
The required answer is 0.0062 (rounded to four decimal places).
To determine the P-value of the test statistic, we need to perform a hypothesis test. The null hypothesis (H0) would be that the percentage of uninsured patients is 32%, and the alternative hypothesis (H1) would be that the percentage is under 32%.
To calculate the test statistic, we can use the formula:
Test Statistic = (Observed Proportion - Expected Proportion) / Standard Error
The observed proportion is the proportion of uninsured patients in the sample, which is 40/160 = 0.25. The expected proportion is 0.32, as stated in the null hypothesis.
To calculate the standard error, use the formula:
Standard Error = √(Expected Proportion * (1 - Expected Proportion) / Sample Size)
In this case, the sample size is 160.
Plugging in the values,
Standard Error = √(0.32 * (1 - 0.32) / 160) ≈ 0.028
Now, we can calculate the test statistic:
Test Statistic = (0.25 - 0.32) / 0.028 ≈ -2.50
To determine the P-value, to compare the test statistic to a standard normal distribution. Since the alternative hypothesis is that the percentage is under 32%, we are interested in the left-tailed area under the curve.
Using a Z-table or calculator, the area to the left of -2.50 is approximately 0.0062.
Therefore, the P-value of the test statistic is approximately 0.0062 (rounded to four decimal places).
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which of the following values of r represents the strongest relationship? select one: a. -1.00 b. 0 c. 0.50 and. 0.75
Among the following values of r, 0.75 represents the strongest relationship. So, the correct option is D.
The value of r represents the strength of the correlation between two variables. The value of r ranges between -1 and 1, where a value of -1 represents a perfect negative correlation, 0 represents no correlation, and 1 represents a perfect positive correlation.
Therefore, among the given options, the value of 0.75 represents the strongest relationship. A value of 0.75 indicates a strong positive correlation between the two variables, meaning that as one variable increases, the other variable also tends to increase.
A correlation of this strength is often considered a strong relationship in many fields, such as psychology, economics, and engineering.
In contrast, a correlation of 0.50 indicates a moderate positive correlation, while a correlation of 0 indicates no correlation between the variables. A correlation of -1 indicates a perfect negative correlation, where the variables move in opposite directions.
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what 3/35 divide by 9/10 in its simple its form
Answer:
\(\frac{2}{21}\)
Step-by-step explanation:
3/35 ÷ 9/10
~Copy Dot Flip
3/35 * 10/9
~Multiply
30/315
~Simplify
6/63
2/21
Best of Luck!
Answer:
2/7 is the simplest form
Step-by-step explanation:
Since you are dividing with fractions, you have to do keep change flip, so it becomes
3/35*10/9, which is 10/35
Then, you have to simplify it. Both the numerator and denominator are divisible by 5.
Then you get the answer, which is 2/7
A 12-foot ladder is placed 4 feet away from a house as shown.
A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.
What is the value of x, rounded to the nearest degree?
x ≈
°
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.
Is this ladder being used safely?
Answer:
#1.
cos(x) = adjacent/hypotenuse = 4/12 ≈ 0.3333 ⇒ x ≈ 71°
#2
71° is between 70° and 75°, so the answer is yes, the ladder being used safely.
Step-by-step explanation:
Answer:
71
yes
Step-by-step explanation:
Just did it, have a good day!
Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.
Answer: Line EF=2
Step-by-step explanation: 11 minus 9 is equal to 2. So line EF is equal to 2.
Choose 3 side lengths that would create a right triangle in order from shortest to longest. (G.8a, 3 points) 4 15 7 25 24 Shortest Side Middle Side Longest Side
Answer:
Shortest = 7, Middle = 24, Longest = 25.
Step-by-step explanation:
7^2 + 24^2 = 25^2
49 + 576 = 625
625 = 625
Ray bd bisects angle abc. To prove angle abd and angle cbd are congruent using a proof by contradiction, what is the assumption statement that starts the proof? angle abd and angle cbd are adjacent angles. Angle abd and angle cbd are supplementary angles. Angle abd and angle cbd are not complementary. Angle abd and angle cbd are not congruent.
To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.
What is proof by contradiction?Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.
A proof by contradiction first starts with the negation, or opposite of the hypothesis.
In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.
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An angle measures 37.6° more than the measure of its complementary angle. What is the measure of each angle?
The pair of required complementary angles are 26.2° and 63.8° respectively.
What are complementary angles?Two angles are said to be supplementary angles because they combine to generate a linear angle when their sum is 180 degrees.
When two angles add up to 90 degrees, however, they are said to be complimentary angles and together they make a right angle.
If the total of two angles is 90o (ninety degrees), then the angles are complementary.
A 30-angle and a 60-angle, for instance, are two complementary angles.
So, to find the 2 angles which are complementary:
x + x + 37.6 = 90
Now, solve it as follows:
x + x + 37.6 = 90
2x = 90 - 37.6
2x = 52.4
x = 52.4/2
x = 26.2
Now, x = 26.2 and the second angle x + 37.6 is = 26.2 + 37.6 = 63.8°.
Therefore, the pair of required complementary angles are 26.2° and 63.8° respectively.
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If a voter votes RIGHT in one election, the probability that the voter will vote LEFT in the next election is 0.2. If a voter votes LEFT in one election, the probability that the voter will vote RIGHT in the next election is 0.1. Assume that these are the only two parties available to vote for. 1. What is the Markov assumption? 2. Draw the transition diagram to this problem. 3. Write down the transition matrix. 4. If 55% of the electorate votes RIGHT one year, find the percentage of voters who vote RIGHT the next year. What would be the voter percentages in 10 years' time? Interpret your result. (2+2+3 marks) 5. Will there ever be a steady state where the party percentages don't waiver? Interpret your result. (3+3 marks)
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.
Transition diagram:
LEFT RIGHT
|--------->--------|
LEFT | 0.8 0.2 |
| |
RIGHT| 0.1 0.9 |
|--------->--------|
The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.
Transition matrix:
| LEFT | RIGHT |
---------------------------
LEFT | 0.8 | 0.2 |
---------------------------
RIGHT | 0.1 | 0.9 |
---------------------------
The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.
If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.
Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).
To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]
Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.
To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:
[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]
After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.
Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.
No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.
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$150 total earnings taxes 11% earnings after taxes?
Answer:
$133.50
Step-by-step explanation:
100%-11%=89%
89%=0.89
0.89*$150=$133.50
so I am doing Eureka math and 7th grade kinda need help....rewrite the expression by using distributive property and collecting like terms. 2 4/5v - 2/3(4v+1 1/6)
Answer:
2/15v + 7/9
Step-by-step explanation:
We take our base equation, then we will make every mixed number into an improper fraction. This will give us 14/5v - 2/3(4v+ 7/6). Then we will open the parentheses. This gives us: 14/5v - 8/3v+ 14/18. We will bring both the v's to a common denominator, giving us 42/15v - 40/15v+ 14/18. Then we can subtract and simplify. 2/15v + 7/9.
what is the difference between brackets and parentheses in math?
A triangular sail has sides of 12 ft, 28 ft, and 32 ft. If the longest side of a similar sail measures 28 ft, what is the measure of its shortest side
The measure of the shortest side of the larger sail is 12 ft
How to find the shortest side of triangular sail?We can use the property that similar triangles have corresponding sides in proportion to solve this problem.
Let the length of the shortest side of the larger sail be x.
Since the two sails are similar, we can set up the proportion:
12 : 28 : 32 = x : 28 : y
where y is the length of the remaining side of the larger sail.
We can then use cross-multiplication to solve for y:
12 * 28 = 28 * x
336 = 28x
x = 12
So the length of the shortest side of the larger sail is 12 feet.
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Can someone please help me out:)))) It’s a trigonometry question.
Answer:
60
Step-by-step explanation:
Soh-Cah-Toa
in this case you have an ajacent side, and the hypotenious.
cos-1 (A/H) = Theta
cos-1 (12/24) = 60 degrees
leave a thumbs up if this answers your question
In the diagram below line FG is // to line HI, and line segments BC and AD intersect at E.
The measure of angle GBE = 3x+20, and the measure angle ECD = x.
The values of the angle x in the line segments is 40 degrees.
How to find the measure of angle?When parallel lines are are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.
Therefore, the line FG is parallel to line HI. The line segment BC and AD are the transversal lines that cut across the parallel lines FG and HI.
Therefore,
3x + 20 + x = 180 (Same interior angles)
Same interior angles are supplementary. That is the angles sum up to 180 degrees.
Therefore,
3x + 20 + x = 180
4x + 20 = 180
4x = 160
divide both sides by 4
x = 160 / 4
x = 40 degrees
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Bart drove 700 miles in 12 hours. What was his average speed?
Answer:
58
Step-by-step explanation:
i think
Which equation has the same solution as this equation?
x^2-16x+12=0
(-xy)^2 * (2x^9y^5)^4
please show me the steps on how to get the answer
Answer: 16x^38y^22
Step-by-step explanation:
Re-order terms so constants are on the left
(−xy)2(2x9y5)4(−)2(295)4
Distribute exponent
(−xy)2(2x9y5)4(−)2(295)4
Evaluate the exponent
(−1)2(xy)2⋅(2x9y5)4(−1)2()2⋅(295)4
the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
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2 - 9x
2
What are the excluded values of x for
y? – 7x - 10
-
To find the excluded values of x, we need to look for any values of x that would make the denominator of the fraction equal to zero. In this case, the denominator is (2-9x).
So we need to solve the equation:
2 - 9x = 0
Subtracting 2 from both sides:
-9x = -2
Dividing both sides by -9:
x = 2/9
Therefore, the excluded value of x is x = 2/9, since plugging in this value would make the denominator zero and result in an undefined fraction.
To find the excluded values of x for the given rational expression, we need to identify when the denominator is equal to zero, since division by zero is undefined. The given expression is:
y = (2 - 9x) / (2 - 7x - 10)
First, we need to find when the denominator is equal to zero:
2 - 7x - 10 = 0
Simplify the equation:
-7x - 8 = 0
Add 8 to both sides:
-7x = 8
Now, divide both sides by -7:
x = -8/7
So, the excluded value for x is -8/7, because when x = -8/7, the denominator becomes zero and the expression is undefined.
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On June 1, AAA Party Supply Store decided to increase the price they charge for party favors to $2 per package. They also changed suppliers for their invitations, and are now able to purchase invitations for only 10¢ per package. All their other costs and prices remain the same. If AAA sells 1408 invitations, 147 party favors, 2112 decorations, and 1894 food service items in the month of June, use vectors and dot products to calculate their total sales and profit for June.
Sales = dollars
Profit = dollars
Using vectors and dot products, Total Sales = 3440.80 dollars
To calculate the total sales and profit for June, we need to consider the quantities sold and the prices for each item.
Let's define the following vectors:
- Quantity vector: Q = [1408, 147, 2112, 1894], representing the quantities sold for invitations, party favors, decorations, and food service items, respectively.
- Price vector: P = [0.10, 2.00, 1.00, 1.00], representing the prices for invitations, party favors, decorations, and food service items, respectively.
We can calculate the total sales by taking the dot product of the Quantity vector and the Price vector:
Total Sales = Q · P
Total Sales = (1408 * 0.10) + (147 * 2.00) + (2112 * 1.00) + (1894 * 1.00)
Total Sales = 140.80 + 294.00 + 2112.00 + 1894.00
Total Sales = 3440.80 dollars
To calculate the profit, we need to consider the costs associated with each item. Let's define the following cost vector:
- Cost vector: C = [0.10, x, y, z], representing the costs for invitations, party favors, decorations, and food service items, respectively.
Since it is mentioned that all other costs remain the same except for the invitations, we need to determine the values of x, y, and z. However, the specific values of x, y, and z are not provided in the question. Hence, we cannot calculate the profit without this information.
If you have the specific costs for party favors, decorations, and food service items, please provide them, and I will be happy to help you calculate the profit for June.
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can someone please help me asap
Answer:
\( \sin(52) = 0.9866\)
Write an equation in slope-intercept form of the line that passes through the given points. PLEASE HELLLPPPPPPPPP.....
The equation of the table in slope intercept form is y = - 5 / 2x - 1
How to write equation in slope intercept form?Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.
But the equation of the table below will be represented in slope intercept form.
The equation in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using (-4, 9)(-2, 4)
m = 4 - 9 / -2 + 4
m = - 5 / 2
Hence, let's find the y-intercept using (0, -1)
y = - 5 / 2x + b
-1 = - 5 / 2(0) + b
b = -1
Therefore, the equation is y = - 5 / 2x - 1
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Function or not a function?
yo no se ok yo no se solamente qiero puntos
Evaluate the following equation for p:
-3p + 6 + 7p = 22
Answer:
4
Step-by-step explanation:
-3p+6+7p=22
-3p+7p=16
4p=16
p=4
Answer:
p = 4
Step-by-step explanation:
-3p+6+7p = 22
-6 -6
----------------------
-3p+7p = 16
4p = 16
--- ---
4 4
------------
p = 4
A study compared three display panels used by air traffic controllers. Each display panel was tested for four different simulated emergency conditions. Twenty-four highly trained air traffic controllers were used in the study. Two controllers were randomly assigned to each display panel—emergency condition combination. The time (in seconds) required to stabilize the emergency condition was recorded. The following table gives the resulting data and the JMP output of a two-way ANOVA of the data. Emergency Condition Display Panel 1 2 3 4 A 17 25 31 14 14 24 35 13 B 15 22 28 9 12 19 31 10 C 21 29 32 15 24 28 37 19 Least Squares Means Estimates Panel Estimate Condition Estimate A 21. 500000 1 17. 166670 B 18. 375000 2 24. 666670 C 25. 625000 3 32. 166670 4 13. 333300 Analysis of Variance Source DF Sum of Squares Mean Square F Ratio Model 11 1,480. 3333 134. 576 30. 4700 Error 12 53. 2000 4. 417 Prob > F C. Total 23 1,533. 3333 <. 0001* Effect Tests Source Nparm DF Sum of Squares F Ratio Prob > F Panel 2 2 211. 5833 23. 9528 <. 0001* Condition 3 3 1,253. 0000 94. 5660 <. 0001* Panel* Condition 6 6 15. 7500 0. 5943 0. 7298 Tukey HSD All Pairwise Comparisons Quantile = 2. 66776, Adjusted DF = 12. 0, Adjustment = Tukey Panel -Panel Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95% A B 3. 12500 1. 050793 2. 97 0. 0290* 0. 3217 5. 92826 A C −4. 12500 1. 050793 −3. 93 0. 0053* −6. 9283 −1. 32174 B C −7. 25000 1. 050793 −6. 90 <. 0001* −10. 0533 −4. 44674 Tukey HSD All Pairwise Comparisons Quantile = 2. 9688, Adjusted DF = 12. 0, Adjustment = Tukey Condition -Condition Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95% 1 2 −7. 5000 1. 213352 −6. 18 0. 0002* −11. 1022 −3. 8978 1 3 −15. 2000 1. 213352 −12. 36 <. 0001* −18. 6022 −11. 3978 1 4 3. 8333 1. 213352 3. 16 0. 0359* 0. 2311 7. 4355 2 3 −7. 5000 1. 213352 −6. 18 0. 0002* −11. 1022 −3. 8978 2 4 11. 3333 1. 213352 9. 34 <. 0001* 7. 7311 14. 9355 3 4 18. 8333 1. 213352 15. 52 <. 0001* 15. 2311 22. 4355 Click here for the Excel Data File.
a. Calculate a 95 percent (individual) confidence interval for the mean time required to stabilize emergency condition 4 using display panel B. (Round your answers to 2 decimal places. )
Without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.
To calculate a 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B, we can use the least squares means estimates provided in the JMP output.
According to the JMP output, the estimate for the mean time required to stabilize emergency condition 4 using display panel B is 10.375000.
To calculate the confidence interval, we need to find the margin of error. The margin of error can be calculated using the formula:
Margin of Error = Critical Value * Standard Error
In this case, we need to find the critical value for a 95 percent confidence interval. Since we have a sample size of 24 (as mentioned in the question), we can use the t-distribution with (24-1) degrees of freedom to find the critical value.
Looking up the critical value in the t-distribution table, with (24-1) degrees of freedom and a confidence level of 95 percent, we find that the critical value is approximately 2.064.
The standard error can be calculated using the formula:
Standard Error = Standard Deviation / √(sample size)
The standard deviation is not provided in the given information. Therefore, we cannot calculate the standard error or the confidence interval without this information.
In summary, without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.
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What are the actual dimensions of 1 unit long by 0.75 units wide?
Answer:
it is 2d
1unit*0.75units=0.75units square