Answer:
b. sin X and c. cos Y
Step-by-step explanation:
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
sin Y = 32/40 incorrect
sin X = 24/40 correct
cos Y = 24/40 correct
cos X =32/40 incorrect
So the answers are sin X and cos Y
Question 19
By age 65 the number of Americans who experience hearing loss sufficient to affect communication is:
a. 1 in 2
b. 1 in 3
c. 1 in 4
d. 1 in 5
The number of Americans experience hearing loss sufficient to affect communication is: 1 in 4.
According to the National Institute on Deafness and Other Communication Disorders (NIDCD).
Approximately 1 in 4 adults in the United States aged 65 and older have hearing loss that is sufficient to affect communication.
This is based on data from a survey conducted by the NIDCD and the National Health Interview Survey.
NIDCD (National Institute on Deafness and Other Communication Disorders).
In the United States, 1 in 4 persons 65 and older suffer hearing loss severe enough to impair conversation.
This is based on information from surveys done by the National Health Interview Survey and the NIDCD.
The number of Americans who experience hearing loss sufficient to affect communication is: 1 in 4.
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What is an equation of the line that passes through the point ( − 2 , − 2 ) and is parallel to the line 5x − y = 4 ?
Answer:
(-2,-2)
Step-by-step explanation:
To find the equation of the line that passes through the point (-2,-2) and is parallel to the line 5x - y = 4, we need to first find the slope of the given line. We can rearrange the given equation into slope-intercept form y=5x-4, where the slope is 5.
Since parallel lines have the same slope, the slope of the line we want to find is also 5. We can use the point-slope formula y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.
Substituting m=5, x1=-2, and y1=-2, we get:
y-(-2) = 5(x-(-2))
y+2 = 5x+10
y = 5x+8
Therefore, the equation of the line that passes through the point (-2,-2) and is parallel to the
Question 1 (1 point)
Given parallelogram WXYZ, where WX = 2x + 15, XY = x + 27 and YZ = 4x - 21,
determine the length of ZW, in inches.
The length of ZW=
The length of ZW is 45 inches.
What is a parallelogram?A parallelogram is a member of quadrilateral which has a pair of opposite sides to be equal, and a pair of slant opposite sides.
In the given information, we have;
WX = YZ (a pair of opposite side of a parallelogram are equal)
2x + 15 = 4x - 21
collect like terms,
21 + 15 = 4x - 2x
36 = 2x
x = 36/2
x = 18
So that;
WX = 2x + 15
= 2(18) + 15
WX = 36 + 15
= 51
XY = x + 27
= 18 + 27
= 45
Therefore,
ZW = XY (a pair of opposite sides are equal)
ZW = 45
The length of ZW is 45 inches.
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A cylinder has a height of 20 millimeters and a radius of 6 millimeters. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.
Answer:
V = hpi(r)^2
= 20(3.14)(17)^2 = 18,149.20 cubic mm
More accurately,
V = 20(3.14159)(17)^2 = 18158.39 mm^3
Step-by-step explanation:
how to find the slope of a normal line based on the equation of a tangent line
By following these steps, we can easily find the slope of a normal line based on the equation of a tangent line.
To find the slope of a normal line based on the equation of a tangent line.
Identify the slope of the tangent line:
Look at the equation of the tangent line, which will usually be in the form y = mx + b, where m is the slope of the tangent line and b is the y-intercept.
Extract the value of m from the equation.
Calculate the negative reciprocal:
To find the slope of the normal line, we'll need to calculate the negative reciprocal of the tangent line's slope.
The negative reciprocal of a number is found by flipping the fraction and changing the sign (from positive to negative, or from negative to positive).
For example, if the slope of the tangent line (m) is 3, the negative reciprocal will be -1/3.
If the slope of the tangent line is -2/3, the negative reciprocal will be 3/2.
The slope of the normal line:
The negative reciprocal calculated in step 2 is the slope of the normal line.
This slope will be perpendicular to the tangent line, meaning that the angle between the normal and tangent lines is 90 degrees.
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The equation of your model is y=0.16x use your model to predict how many pieces are in the star wars Lego death star set it costs $499.99
Answer:
Rounding to the nearest whole number, we predict that the Star Wars Lego Death Star set has approximately 80 pieces. However, it's important to note that this prediction is based solely on the given model and may not necessarily reflect the actual number of pieces in the set.
Step-by-step explanation:
The given equation for the model is y = 0.16x, where y represents the number of pieces in a Lego set and x represents the cost of the set in dollars.
To use this model to predict the number of pieces in the Star Wars Lego Death Star set that costs $499.99, we substitute x = 499.99 into the equation and solve for y:
y = 0.16x
y = 0.16(499.99)
y = 79.9984
Carol was packing up some of her old stuff into a box. A box can hold 2 pounds, but she only filled it up 1/2 full How much weight was in the box?
Answer:
1 pound
Step-by-step explanation:
If a box can hold 2 pounds but is only filled up 1/2 full, then there is only 1 pound of weight in the box.
To see why, consider that if the box was completely full, it would hold 2 pounds. But if it is only half full, it can only hold half of that amount, or 1 pound. Thus, the weight in the box is 1 pound.
a student has 12 toys. her friend has 2 times as many toys. how many toys do they have together
Answer:
Together, they have 12 + 2(12) = 12 + 24 = 36 toys.
Answer:
so in total they have 36 toys
Step-by-step explanation:
Graph of polygon ABCDE with vertices at negative 3 comma 3, negative 3 comma 6, 1 comma 6, 1 comma 3, negative 1 comma 1. A second polygon A prime B prime C prime D prime E prime with vertices at negative 5 comma 3, negative 5 comma 6, negative 9 comma 6, negative 9 comma 3, negative 7 comma 1.
Determine the line of reflection.
Reflection across x = −4
Reflection across y = 1
Reflection across the x-axis
Reflection across the y-axis
The line of reflection is reflection across x = −4
Explain the term line
A line is an infinitely long and infinitely thin one-dimensional object that extends in opposite directions. It has no endpoints and is often represented by a straight line with two arrowheads. Lines are a fundamental concept in mathematics and are used to define other objects such as planes, angles, and shapes.
According to the given information
Let's use points A(-3, 3) and A'(-5, 3). The midpoint of the line segment connecting A and A' is ((-3 + (-5))/2, (3 + 3)/2) = (-4, 3). The slope of the line segment connecting A and A' is (3 - 3)/(-5 - (-3)) = 0. Since the line of reflection is perpendicular to this line segment, its slope is the negative reciprocal of 0, which is undefined. This means that the line of reflection is a vertical line.
Since the midpoint of the line segment connecting A and A' lies on the line of reflection and has an x-coordinate of -4, we can conclude that the line of reflection is x = -4.
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How many milliliters is 0.005 L?A) 0.5 mL B) 5 mL C) 0.50 mL D) 0.000005 mL E) 200 mLAns: B Category: Medium Section: 1.9
After conversion, B) 5 mL is 0.005 L milliliters
The quantity given = 0.005 L
Using a unit conversion, the same property is stated in a different unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometres, or any other measurement method can be used to measure distance in place of miles.
To convert from litres to millilitres, it is required to multiply the quantity by 1000. This is because there are 1000 millilitres in one litre.
Therefore, converting the given value-
= 0.005 L x 1000 mL/L
= 5
Thus, the resultant value after conversion is 5mL
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Can someone help with this question????
Answer:
besides this pic nothing else can be done
Which model is appropriate for the set {(-2,4. 5),(0,8),(1,10. 67),(3,18. 96)}
We can conclude that a quadratic model is appropriate for the given set of points {(-2,4. 5),(0,8),(1,10. 67),(3,18. 96)}.
To determine which model is appropriate for the given set of points {(-2,4.5),(0,8),(1,10.67),(3,18.96)}, we need to examine the pattern in the data and choose a model that fits the pattern well.
One common approach to fitting a model to data is to use regression analysis. In this case, we can start by plotting the points on a graph and visually examining the pattern.
When we plot the points, we see that they form a curved shape that resembles a quadratic function. To confirm this, we can use regression analysis to fit a quadratic model to the data.
Using a quadratic regression model, we obtain an equation of the form y = ax^2 + bx + c, where a, b, and c are constants to be determined. The regression analysis yields the following coefficients: a = 2.138, b = 1.959, and c = 5.48.
We can now use this quadratic equation to predict y for any given value of x within the range of the data.
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Jodi has $4,862.33 in a savings account that will earn 2.99% interest on the principal for
5 years. What is the amount of simple interest that she will earn?
the independent variable in either a before/after t or a within subjects f is always of what data scale?the independent variable in either a before/after t or a within subjects f is always of what data scale?
The independent variable in either a before/after t-test or a within-subjects ANOVA is always measured on a nominal or categorical scale.
This is because these statistical tests are used to compare means of two or more related groups, where the independent variable represents the different conditions or time points in which the dependent variable is measured.
For example, in a before/after t-test comparing the effectiveness of a medication, the independent variable would be the two time points (before and after), which are categorical in nature. Similarly, in a within-subjects ANOVA comparing three different treatment conditions, the independent variable would be the three treatment conditions, which are nominal in nature.
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a study is to be made to estimate the percent- age of citizens in a town who favor having their water fluoridated. how large a sample is needed if one wishes to be at least 95% confident that the estimate is within 1% of the true percentage?
A sample size of approximately 9604 citizens is needed to achieve at least 95% confidence that the estimate is within 1% of the true percentage.
To determine the sample size needed for a study to estimate the percentage of citizens in a town who favor water fluoridation with 95% confidence and a margin of error within 1%, you can use the following formula:
Sample Size (n) = ([tex]z^{2}[/tex] * P * (1-P)) / [tex]E^{2}[/tex]
where:
Z = 1.96 (the Z-score corresponding to a 95% confidence level)
P = estimated proportion of the population (use 0.5 if no prior knowledge)
E = margin of error (0.01 for 1%)
Plugging the values into the formula:
n = ([tex]1.96^{2}[/tex] * 0.5 * (1-0.5)) / [tex]0.01^{2}[/tex]
n = (3.8416 * 0.5 * 0.5) / 0.0001
n = 0.9604 / 0.0001
n ≈ 9604
Therefore, a sample size of approximately 9604 citizens is needed to achieve at least 95% confidence that the estimate is within 1% of the true percentage.
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it takes about 700,000 cubic feet of helium to fill a giant parade balloon. Each year, a total of 6.2 billion cubic feet of helium is used by industries around the globe. How many giant parade balloons would that fill?
Answer:
To find out how many giant parade balloons could be filled with 6.2 billion cubic feet of helium, we can divide the total volume of helium by the volume of one balloon:
Number of balloons = Total volume of helium / Volume of one balloon
First, we need to convert 6.2 billion cubic feet to cubic feet:
6.2 billion = 6,200,000,000
Now we can calculate the number of balloons:
Number of balloons = 6,200,000,000 / 700,000
Number of balloons = 8,857.14
So, approximately 8,857 giant parade balloons could be filled with 6.2 billion cubic feet of helium.
On average, a certain kind of kitchen appliance requires repairs once every four years. Assume that the times between repairs are exponentially distributed. What is the probability that the appliance will work at least six years without requiring repairs?
The probability that the appliance will work at least six years without requiring repairs is 0.2231 or 22.31%.
To find the probability that the appliance will work at least six years without requiring repairs, we need to consider the exponential distribution and the given average repair time. Given that the appliance requires repairs once every four years on average, the rate parameter (λ) for the exponential distribution is 1/4, or 0.25.
Here we want to find the probability that the appliance will work at least six years without requiring repairs, which can be represented as [tex]P(X ≥ 6)[/tex], where X is the time between repairs. Using the complementary probability, we can rewrite this as [tex]P(X ≥ 6) = 1 - P(X < 6)[/tex]
The cumulative distribution function (CDF) of the exponential distribution is given by
[tex]F(x) = 1 - e^{(-λx)}[/tex]
Now, we can plug in the values:
[tex]P(X ≥ 6) = 1 - F(6) \\ P(X ≥ 6) = 1 - (1 - e^{(-0.25 \times 6)}) \\ P(X ≥ 6) = 1 - (1 - e^{(-1.5)}) \\ P(X ≥ 6) = e^{(-1.5)}[/tex]
Therefore, the probability that the appliance will work at least six years without requiring repairs is approximately 0.2231 or 22.31%.
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with a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because
With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.
With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.
This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.
With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.
This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.
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With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.
With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.
This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.
With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.
This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.
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Taner wants to run a total of 6 kilometers between last week and this week. How far does Taner need to run this week to reach his goal?
Thus, Taner needs to run only 3 km this week to reach his run target of 6 km.
Explain about the fractional number:We can begin by defining fractional numbers as numbers that represent one or maybe more pieces of a unit that has been divided into equal parts if we need a definition.
Two whole numbers (any fraction terms) separated by a horizontal line are used to calculate the fractional numbers (the fraction line). Every whole number may be used as the numerator above the line, whereas the denominator below the line must be distinct from zero.Given that-
Total run target for Taner is 6 km (including last week and this week)So,
2 week target for Taner = 6 km
Now,
1 week target for Taner = 6/2 = 3 km
As, 3 km of run is already finished by the Taner last week. Thus, Taner needs to run only 3 km this week to reach his goal.
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The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.
Write an exponential growth function that represents the population t
years after 2000.
y=
.
What will the population be in 2020? Round your answer to the nearest thousand.
The population will be about
.
The exponential growth function for the given initial population of the city is y = 315,000 × (1 + 0.02)ⁿ .
And the population increase in the year 2020 is equal to 468000.
Population in the year 2000 = 315,000
Increase in population growth by 2%
The population is increasing by 2% annually, which means the growth rate is 0.02 per year.
The initial population in the year 2000 is 315,000.
An exponential growth function as follows,
y = a ( 1 + r )ⁿ
Where 'a' represents the initial population of the city.
And 'r' represents the rate of the growth of the population.
y = 315,000 × (1 + 0.02)ⁿ
where n is the number of years after 2000 .
And y is the population at that time.
To find the population in the year 2020,
Substitute n = 20 into the equation to get the population in 2020 and solve for y,
y = 315,000 × (1 + 0.02)²⁰
⇒ y = 315,000 × (1.02)²⁰
⇒ y = 315,000 × 1.4860
y ≈ 468073.4
Rounding to the nearest thousand, the population in 2020 will be about 468000.
Therefore, the exponential growth function is y = 315,000 × (1 + 0.02)ⁿ and the population in 2020 is 468000.
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The above question is incomplete, the complete question is:
The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.
City limit
Brookfield
Population. 315,000
Write an exponential growth function that represents the population t
years after 2000?
y=
What will the population be in 2020? Round your answer to the nearest thousand.
The population will be about
FIND Z OF THIS CIRCLE
Answer:
Step-by-step explanation:
City Furniture Company operates on an overhead which is 25% of the selling price. If one of their sleeper sofas costs City Furniture $237.85 and the overhead on the sofa is $174.50, find the selling price, the markup, and the net profit.
Answer: the selling price of the sleeper sofa is $698, the markup is $460.15, and the net profit is $285.65.
Step-by-step explanation: Add up to fetched = fetched + overhead
Add up to fetched = $237.85 + $174.50
Add up to fetched = $412.35
Since the overhead is 25% of the offering cost, we are able utilize this data to discover the offering cost:
Overhead = 0.25 * Offering cost
Offering cost = Overhead / 0.25
Offering cost = $174.50 / 0.25
Offering cost = $698
The markup is the distinction between the offering cost and the taken a toll:
Markup = Offering cost - Fetched
Markup = $698 - $237.85
Markup = $460.15
The net benefit is the markup short the overhead:
Net benefit = Markup - Overhead
Net benefit = $460.15 - $174.50
Net benefit = $285.65
Please help!!! I don't know how to find the area of this shaded shape, can someone explain this! Thank you.
Answer: The way you can find the area of this shape is by splitting the shape into a triangle and a square find the areas of each shape and then add the values.
Step-by-step explanation:
The ratio of red counters to green counters in a bag is 3:17. What percentage of the counters are red
Answer:
0.15%
Step-by-step explanation:
red is 3
the total is 20
percentage of red counters = 3 ÷ 20 = 0.15%
Identify the area of the figure. PLEASE RESPOND ASAP TYSM!!!
Answer:
184 cm to the 3
Step-by-step explanation:
13x7 91+90+181 and add 3
imagine that you are offered two jobs. there is a 50% chance that you will take the first job and a 40% chance that you will take the second job. assume that you cannot take both jobs. what is the probability that you will take either one job or the other job?
Answer:
The probability of taking either one job or the other job can be calculated by adding the probabilities of taking the first job and taking the second job, and then subtracting the probability of taking both jobs (since we cannot take both).
Let A be the event of taking the first job, and B be the event of taking the second job. Then, the probability of taking the first job is P(A) = 0.5, and the probability of taking the second job is P(B) = 0.4. The probability of taking both jobs is zero, since we cannot take both.
Therefore, the probability of taking either one job or the other job is:
P(A or B) = P(A) + P(B) - P(A and B)
= 0.5 + 0.4 - 0
= 0.9
So the probability of taking either one job or the other job is 0.9 or 90%
please help with this question
Answer:
A-223
B-98
Step-by-step explanation:
A- To find the perimeter of a shape you have to add all the sides together .
Here the only information we get is the length which is 99 and we have to find the width .
To find the width we have to do
332-99
=98m
B-To find the area of a shape you have to do height x width
h x w
but here it gives us the length and the area of it so we would have to divide the two numbers
6468÷66
=98cm²
What is the probability of rushing picking a blue shin
If in an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball, the probability of picking a red ball is approximately 0.7619, or 76.19%.
A Bernoulli experiment is a statistical experiment that has only two possible outcomes, usually referred to as success and failure. In this case, the outcomes are picking a red ball or picking a blue ball.
Let's assume that the probability of picking a blue ball is P(B), and the probability of picking a red ball is P(R). We are given that the chance of picking a red ball is 3.2 times higher than the chance of picking a blue ball. Mathematically, this can be expressed as:
P(R) = 3.2 * P(B)
We also know that the sum of the probabilities of all possible outcomes must be 1, so:
P(R) + P(B) = 1
We can use these two equations to solve for P(R):
P(R) + (1/3.2) * P(R) = 1
(4.2/3.2) * P(R) = 1
P(R) = 3.2/4.2 = 0.7619
This means that out of every 10 balls, about 7.6 will be red and 2.4 will be blue.
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Complete question is:
In an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball. What is the probability of picking the red ball?
GEOMETRY HELP SHOW STEPS PLEASE. HOW TO FIND AREA OF A REGULAR PENTAGON WITH SIDES OF 2
The area of the regular pentagon is 6.88 unit².
How to find the area of a regular pentagon?The area of a regular pentagon can be found if one side is known. The formula used for finding the area of a regular pentagon is:
A = 1/4 * [√5(5+ 2√5)] * s²
where s is the length of one side of the regular pentagon.
In this case, s = 2:
A = 1/4 * [√5(5+ 2√5)] * s²
A = 1/4 * [√5(5+ 2√5)] * 2²
A = 1/4 * [√5(5+ 2√5)] * 4
A = 6.88 unit²
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the following correlation matrix shows the pearson correlations between various baseball pitching related statistics, of which the number of wins (w) is considered to be a criterion measure of pitching performance by a team. which statistic has an inverse relationship with the number of wins?
To decide which measurement has a reverse relationship with the number of wins, we ought to seek for a relationship coefficient with negative esteem. A negative correlation coefficient shows that as one variable increments, the other variable tends to diminish.
Without seeing the real relationship framework, we cannot point out the precise statistic that has a reverse relationship with the number of wins. In any case, ready to search for the relationship coefficient that features negative esteem.
For illustration, in the event that we have a relationship network like this:
markdown
| W | Period | WHIP | SO/9 | BB/9 |
----------------------------------------------
W | 1 | -0.7 | -0.6 | 0.5 | -0.3 |
----------------------------------------------
Period | -0.7| 1 | 0.9 | -0.8 | 0.5 |
----------------------------------------------
WHIP | -0.6| 0.9 | 1 | -0.7 | 0.4 |
----------------------------------------------
SO/9 | 0.5| -0.8 | -0.7 | 1 | -0.4 |
----------------------------------------------
BB/9 | -0.3| 0.5 | 0.4 | -0.4 | 1 |
----------------------------------------------
We are able to see that the relationship coefficient between the number of wins (W) and the earned run normal (Time) is -0.7, which indicates a strong negative relationship. This implies that as the Time increments (showing poorer pitching execution), the number of wins tends to diminish. Subsequently, Time has a reverse relationship with the number of wins.
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