A survey showed that 31% of human resource professionals are at companies that rejected job candidates because of
information found on their social media. If 24 human resource professionals are randomly selected, would 13 be a
significantly high number to be at companies that rejected job candidates because of information found on their
social media? Why or why not?
Answers
From the given distribution we have: Option A. No, 13 would not be significantly high because the probability of 13 or more is 0.6478 which is not low.
What is binomial distribution?A binomial distribution, which only has two possible outcomes for each trial: success or failure, is a probability distribution that specifies the number of successes in a set number of independent trials. The number of trials (n) and the likelihood that each trial will be successful are the two parameters that define the binomial distribution (p). Given the likelihood of success in each trial, the distribution provides the probabilities of receiving precisely 0, 1, 2,..., or n successes in n independent trials. The binomial distribution is frequently used to simulate situations where there are two possible outcomes and a set number of trials in a variety of disciplines, including statistics, economics, genetics, and engineering.
Given that, n = 24 and p = 0.31 for the given distribution.
Thus, the probability of 13 or more human resource professionals being at companies that rejected job candidates is:
P(X ≥ 13) = 1 - P(X < 13)
Now, P(X < 13) = 0.3522.
Thus,
P(X ≥ 13) = 1 - 0.3522 = 0.6478
Hence, from the given distribution we have Option A. No, 13 would not be significantly high because the probability of 13 or more is 0.6478 which is not low.
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Related Questions
simplify into one fraction
Answers
Answer:
Step-by-step explanation:
The answer is not all true. Thank you for the help!
Answers
Answer:
false ,true ,true
Step-by-step explanation:
a local team has 25 players, 30% of them are left handed. how many playrs are left handed
Answers
Step-by-step explanation:
30 % of 25 is
.30 * 25 = ~ 8 left handed ( rounded)
A right rectangular prism has a length of 15 cm width of 10 cm and a height of 5 cm savanna claims that doubling the length width and height of the prism will double its surface area is Savannah, correct?
Answers
No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.
What is surface area?Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.
The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.
For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:
Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2
Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:
Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2
As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).
In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.
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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.
What is surface area?Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.
The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.
For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:
Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2
Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:
Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2
As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).
In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.
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MEDICO Corporation makes several portable electronic devices used in hospitals. Some of these products require rechargeable batteries that MEDICO purchases from various suppliers. Although they try to find them at the best price, they must also consider the quality. In one case, two suppliers were being considered, and batteries were selected from various purchase dates. A test was run on the time the batteries would last in a certain device before it had to be recharged. The results are given in the table below.
Sample Statistics for Survey of Batteries
Supplier Number of Batteries Used in Test Mean Life Standard Deviation
Power+ 45 24 hours 5.1 hours
Electro 61 22 hours 2.6 hours
a) Set up the null and alternative hypotheses to see if the data supports the conclusion that the rechargeable batteries sold by Power+ last longer.
b) Check the conditions.
c) Calculate the test statistic.
d) Find the p-value.
e) Using α = 0.05, state your conclusion in the context of the problem.
Answers
The null hypothesis states that there is no distinction between the mean shelf life of the rechargeable batteries marketed by Power+ and Electro. Whereas, the alternative suggestion maintains that the mean duration of the batteries sold by Power+ stands greater than that of Electro.
The test statistic is 2.24
How to explain the statisticsUtilizing a t-distribution with degrees of freedom akin to the entire sample size minus two (df = n1 + n2 - 2 = 104) alongside the derived test statistic, the p-value can be accessed via calculator or software as 0.014.
As the figure procured from the p-value is lower than the significance level α = 0.05, we invalidate the null positing. The evidence warrants corroborating the allegation that the rechargeable batteries proffered by Power+ remain usable for longer than those provided by Electro.
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collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community
Answers
The observation table in Annexure A records the minimum and maximum temperature in a community for 30 days.
To collect data on the observation table in Annexure A for 30 days of minimum and maximum temperature in your community, follow these steps:
Obtain a reliable source for temperature data: You can use local weather stations, online weather platforms, or mobile apps that provide accurate and up-to-date temperature information for your community.
Prepare the observation table:
Create a table in Annexure A with columns for Date, Minimum Temperature, and Maximum Temperature.
Make sure there are 30 rows for each day of observation.
Record daily temperatures:
For each day, note down the date and the minimum and maximum temperatures in their respective columns.
Be consistent with the time of day you record these temperatures, ideally early morning for the minimum and late afternoon for the maximum.
Repeat the process:
Continue recording daily temperatures for a total of 30 days.
Review and analyze the data:
Once the 30-day period is complete, you can analyze the data to observe trends or patterns in temperature variation.
Remember to be consistent in your data collection to ensure accurate and reliable results.
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if the distance between the line x+y-5 and 3x+3y-k=0 is √18, find the value of k.
Answers
Therefore, the value of k could be either 6 or 24 if the distance between the line x+y-5 and 3x+3y-k=0 is √18.
What is equation?An equation is a statement that two mathematical expressions are equal. It contains an equal sign and can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations can be used to solve problems, find unknown values, and model real-world situations.
Here,
To find the distance between the line x+y-5 and 3x+3y-k=0, we need to find the perpendicular distance between them.
The line x+y-5 can be written in slope-intercept form as y = -x + 5, and its slope is -1.
The line 3x+3y-k=0 can be rewritten as y = -x + k/3, and its slope is also -1.
Since the slopes of the two lines are the same, they are parallel. Therefore, the perpendicular distance between them is the distance between any point on one line and the other line.
Let's choose a point on the line x+y-5. We can choose (1,4) since it lies on the line. The distance between this point and the line 3x+3y-k=0 is:
|3(1) + 3(4) - k|/√(3²+3²)
Simplifying this, we get:
|15 - k|/3√2 = √18
Multiplying both sides by 3√2, we get:
|15 - k| = 3√2 * √18
= 9
This gives us two possible values for k:
15 - k = 9, which gives k = 6
or
k - 15 = 9, which gives k = 24
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A printer prints 17 prints per minute. How many minutes will it take to print 200 pages? Express your answer to the nearest whole number.
Answers
Answer:
12 minutes
Step-by-step explanation:
200/17
= 11.7
round up
12 minutes
A bank loaned out $19,500, part of it at the rate of 4% annual interest, and the rest at 14% annual interest. The total interest earned for both loans was $1,180.00. How much was loaned at each rate?
Answers
The amount that was loaned are $15,500 at 4% annual interest and $4000 at 14% annual interest.
Given that,
A bank loaned out $19,500.
Amount loaned at 4% annual interest = x
Amount loaned at 14% annual interest = 19,500 - x
Total interest earned for both loans = $1,180
0.04x + 0.14 (19,500 - x) = 1180
0.04x + 2730 - 0.14x = 1180
-0.1x = -1550
x = 15,500
Amount loaned at 4% annual interest = x = $15,500
Amount loaned at 14% annual interest = 19,500 - x = $4000
Hence the loaned amount are $15,500 and $4000.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answers
Answer:
see attached
Step-by-step explanation:
You want the 2-way table filled based on the descriptions of its contents.
TotalThe total number of students surveyed (240) goes in blank 9, where row and column headings are both "Total".
35%The number 35% × 240 = 84 goes in blank 7, the total number interested in athletics.
3/5The number 3/5 × 240 = 144 goes in blank 3, the total number interested in academic clubs.
26The number 26 goes in blank 1, which is in row 1 (interested in academic clubs) and in column 1 (interested in athletics). It is the number interested in both.
DifferencesBlank 2 is the difference between blank 3 and blank 1. It makes the total for the line be correct.
Blank 4 is the difference between blank 7 and blank 1. It makes the total for the column be correct.
Similarly, blanks 8 and 6 are differences that make the row and column totals (respectively) be correct.
Finally, blank 5 is the value that makes its row and column totals be correct. The fact that the one number makes two correct totals gives you a check on that number.
The filled table is shown in the first attachment. The calculations are shown in the second attachment.
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate.
Do not round your intermediate computations, and round your answer to three decimal places.
Answers
Step-by-step explanation:
so, overall, 63% will grow.
that means, every seed has a 63% chance to grow. in other words, the probabilty to grow is 0.63 (as 63% means 63 out of 100 = 0.63).
and a chance of
1 - 0.63 = 0.37
to not grow.
fewer than 8 out of 9 seeds means not 8 and not 9.
it is
1 - P(8) - P(9)
with P(x) means the probability that exactly x seeds out of the 9 grow/germinate.
the chance for a group of exactly 8 out of 9 seeds to grow is then the probabilty for 8 to grow and 1 not to grow :
0.63⁸ × 0.37 = 0.009181764...
but these are 8 seeds out of 9.
and we calculated the probability for only one possible grouping.
how many groups of 8 can we build out of 9 ?
as the sequence does not matter, and we cannot have repetitions (every seed can only count as 1), we have combinations
C(9, 8) = 9! / (8! × (9-8)!) = 9!/8! = 9
so, the total probability P(8) for exactly 8 seeds out of 9 to grow/germinate is
9 × 0.63⁸ × 0.37 = 9 × 0.009181764... = 0.082635875... ≈
≈ 0.083
now, the chance for a group of exactly 9 out of 9 seeds to grow is then the probabilty P(9) for all 9 to grow :
0.63⁹ = 0.015633814... ≈ 0.016
the probabilty that fewer than 8 out of the 9 will grow/germinate is
1 - 0.082635875... - 0.015633814... = 0.901730311... ≈
≈ 0.902
Write the equation of the line that passes through the points (−9,1) and (−6,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answers
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-9, 1) and (x2, y2) = (-6, -1)
slope = (-1 - 1) / (-6 - (-9))
slope = (-2) / 3
slope = -2/3
Now, we can use the point-slope form of the equation of a line to find the equation:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is one of the given points.
Using the point (-9, 1), we get:
y - 1 = (-2/3)(x - (-9))
y - 1 = (-2/3)(x + 9)
This is the equation of the line in point-slope form. We can simplify it further by distributing the -2/3:
y - 1 = (-2/3)x - 6
y = (-2/3)x - 5
So the equation of the line that passes through the points (-9, 1) and (-6, -1) is y = (-2/3)x - 5.
NEED HELP WILL GIVE BRAINLIEST AND WILL RATE. Show work and I only need #3
Answers
If the graph of f(x) is changed to [tex]f(x) = 4(\frac{5}{7} )^{x}-2[/tex], the graph of f(x) would be translated down by 2 units.
An equation of the new horizontal asymptote is y = -2.
What is a translation?In Mathematics and Geometry, the vertical translation a geometric figure or graph downward simply means adding a digit to the value on the y-coordinate of the pre-image or function.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.In this scenario, we can logically deduce that the graph of the parent function f(x) was translated or shifted downward (vertically) by 2 units.
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76. Write an equation of
the line that passes
through (3,-2) and
is (a) parallel and
(b) perpendicular to
the line shown.
-2
y
1,3 | 5x
(2,-1)
(1,-4)
Answers
The equation of the line that passes through (3,-2) and is (a) parallel to the line is y = 3x - 11 and (b) perpendicular to the line is y = - 1 / 3 x - 2.
How to find the equation of a line?The equation of a line can be represented in different form such as slope intercept form.
The equation of a line in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptHence, let's find the equation of a line passing through (3, -2) and is parallel to the line shown.
Parallel line have the same slope.
Hence,
m = -4 + 1 / 1 - 2
m = -3 / -1
m = 3
Therefore,
y = 3x + b
-2 = 3(3) + b
b = -2 - 9
b = -11
The equation is y = 3x - 11
Hence, let's find the equation of a line passing through (3, -2) and is perpendicular to the line shown.
The slopes of perpendicular lines are negative reciprocals of one another.
hence,
m = - 1 / 3
Therefore,
y = - 1 / 3 x + b
-2 = - 1 / 3(3) + b
b = -2 + 1
b = -2
Therefore, the equation is y = - 1 / 3 x - 2.
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Liliana's monthly budget is represented by the pie chart below. All amounts
are in dollars.
What percentage of her monthly budget does Liliana spend on car expenses?
A. 11%
B. 13%
C. 16%
D. 6%
Answers
Answer:
Step-by-step explanation
The first step is to add up all of the numbers to get the total budget.
Total Budget = 858 + 429 + 924 + 198 + 363 + 528 =3,300
Then to find the percentage for a certain category it is:
[tex]\frac{Budget Category}{Budget Total} times 100%[/tex]
So, 429 / 3300 x 100% = 0.13 x 100% = 13% Car Expense
Answer:
Step-by-step explanation
The first step is to add up all of the numbers to get the total budget.
Total Budget = 858 + 429 + 924 + 198 + 363 + 528 =3,300
Then to find the percentage for a certain category it is:
[tex]\frac{Budget Category}{Budget Total} times 100%[/tex]
So, 429 / 3300 x 100% = 0.13 x 100% = 13% Car Expense
What is escape room answer for a high reward please
Answers
Answer:
840, 14
Step-by-step explanation:
(a.) In order to solve a, we first need to solve b since we're essentially dealing with proportions.
(b.) Our proportion to solve for miles per gallon is 350 miles / 25 gallons = x miles / 1 gallon where we solve for x:
[tex]\frac{350}{25}=\frac{x}{1}\\ \\ 25x=350\\\\x=14[/tex]
Thus, the gas mileage is 14 miles per gallon
(a.) Now, we can solve for part a. using the proportion x miles / 60 gallons = 14 miles / 1 gallon:
[tex]\frac{x}{60}=\frac{14}{1}\\ \\ x=840[/tex]
75 minutes after 8:15
Answers
Here's how I got that answer:
- Add 60 minutes to 8:15 to get 9:15.
- Add another 15 minutes to 9:15 to get 9:30.
So, 75 minutes after 8:15 is 9:30.
Maureen Webster, who is running for mayor in a city, claims that she is favored by 53% of all eligible voters of that city. Assume that this claim is true. What is the probability that in a random sample of 400 registered voters taken from this city, less than 49% will favor Maureen Webster?
Answers
The probability that a random sample of 400 registered voters from this town will have a Maureen Webster under the age of 49 is about 0.0951, or about 9.51%.
What does probability mean?Probability is simply how likely something is to happen. When we are uncertain about the outcome of an event, we can talk about the probability of certain outcomes—how likely they are.
We can use the binomial normal approximation to solve this problem because we have a large sample (400) and the probability (p) of preferring Maureen Webster is not too close to 0 or 1. First, we need to find the mean and standard deviation of the sample proportion, which is given by:
mean = p = 0.53
standard deviation = square (p*(1-p)/n) = square (0.53*0.47/400) = 0.0305
Next, we need to find the z-score corresponding to the sample proportion of 0.49 (which is the "less than 49 percent" threshold). It is given by:
z = (x - mean) / standard deviation = (0.49 - 0.53) / 0.0305 = -1.31
We can now use a standard normal distribution table or calculator to determine the probability that the standard normal variable is less than -1.31. This probability is approximately 0.0951.
Therefore, we can use the binomial normal approximation to solve this problem because we have a large sample (400) and the probability (p) of preferring Maureen Webster is not too close to 0 or 1.
First, we need to find the mean and standard deviation of the sample proportion, which is given by:
mean = p = 0.53
standard deviation = square (p*(1-p)/n) = square (0.53*0.47/400) = 0.0305
Next, we need to find the z-score corresponding to the sample proportion of 0.49 (which is the "less than 49 percent" threshold). It is given by:
z = (x - mean) / standard deviation = (0.49 - 0.53) / 0.0305 = -1.31
We can now use a standard normal distribution table or calculator to determine the probability that the standard normal variable is less than -1.31. This probability is approximately 0.0951.
Therefore, the probability that a random sample of 400 registered voters from this town is under the age of 49 Maureen Webster is about 0.0951, or about 9.51%.
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what is 60 items ordered 14 items per case ?
Answers
Answer:
5 cases
10 additional units
Step-by-step explanation:
Given that:
Total number of units needed = 60 units
Total number of units per case = 14
Hence, the total number of cases required will
be: Number of units needed / number of units per
case
Number of cases required = 60/14 = 4.285 (this be up to 60 units)
means that 5 cases are required as 4 cases won't
With 5 cases, we have exceeded the required units needed:
Additional units will be: (145)-60
Additional units = 70 - 60 = 10 units
Step-by-step explanation:
if it helped u please mark a brainliest :))
Where does a pattern begin?
Answers
Answer:
In Mathematics, a pattern is a repeated arrangement of numbers, shapes, colours and so on. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern. Sometimes, patterns are also known as a sequence.
1. a || b
2. k || m
3. Not enough information
Answers
The correct answer is "not enough information to prove any parallel lines."
What is the special property of two parallel lines?If two lines in a two-dimensional plane are parallel, then the corresponding angles formed by a transversal (a line that intersects both lines) are congruent (i.e., they have the same measure).
Additionally, the alternate interior angles (angles that are on opposite sides of the transversal and inside the pair of parallel lines), as well as the corresponding angles (angles that are in the same position relative to the transversal on the two parallel lines), are also congruent.
In the given diagram, line k is parallel to m, while line a is also parallel to line b but forming a transverse line to line k and line m. Also line k and line m form a transverse line to lines a and b.
So we can conclude that not enough information to prove any parallel lines.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answers
People who made more money generally completed more years of college than those who made less money . So correct option is D.
Describe Graph?A graph is a visual representation of data or information that uses a set of points or nodes, connected by lines or curves, to convey relationships or patterns. Graphs can be used to illustrate data in a way that is easy to understand and analyze.
There are several types of graphs, each with its own strengths and weaknesses depending on the type of data being presented. Some common types of graphs include:
Line graph: A line graph displays data as a series of points connected by a line, and is commonly used to show trends or changes over time.
Bar graph: A bar graph displays data using rectangular bars, with the length or height of each bar representing the quantity of data being measured. Bar graphs are useful for comparing different values or categories.
Pie chart: A pie chart shows data as a circular graph, with each slice representing a portion of the whole. Pie charts are commonly used to show proportions or percentages.
Scatter plot: A scatter plot displays data as a set of points on a two-dimensional plane, with each point representing the values of two variables. Scatter plots are useful for identifying patterns or trends in the relationship between two variables.
Histogram: A histogram displays data as a set of bars, with the height of each bar representing the frequency or number of occurrences of data within a certain range or interval.
Graphs can be an effective way to communicate complex information in a simple and easy-to-understand way. They are commonly used in fields such as science, economics, and social sciences, as well as in everyday life to display data and make comparisons.
People who made more money generally completed more years of college than those who made less money .
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Find the area. ( Hint: First find x . )
Answers
Answer:
Step-by-step explanation:
in question no. 17
base=x
perpendicular=9
hipotanus=15
by applying pythagorus
(x)² + (9)² = (15)²
x=√(15)²-(9)²
x= √225-81
x=√144 = 12
now area of triangle = 1/2 ×base×height
= 1/2 × 12 × 9 = 54
area of figure 17 = 54 × 2 = 108
Help me with this math if you can.
Answers
The actual distance between the two cities is equal to 288 miles.
What is a scale factor?In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.
In Geometry, the scale factor of a geometric figure can be calculated by dividing the side lengths of the image by the side lengths of the pre-image:
Scale factor = length of image (new figure)/length of pre-image (actual figure).
Scale:
0.25 inch = 24 miles
0.25/24 = New distance/Actual distance
0.25/24 = 3/Actual distance
Actual distance = (24 × 3)/0.25
Actual distance = 288 miles.
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brainliest and 20 points to whoever shows work the best
Answers
The value of the variable x for the arc angle CD and DE is -1and the arc angle FCE = 230°. Also x = 5 for the arc angles RS, ST, TU, and UR, and the arc angle RS = 70°.
What is angle subtended by an arc at the centerThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.
Thus:
17). 2[(x + 131) + (x + 51)]° = 360°
2x + 182° = 180°
2x = 180° - 182°
2x = -2
x = -1
arc angle CD = -1 + 51 = 50°
arc angle DE = -1 + 131 = 130°
arc angle FCE = 2CD + DE
arc angle FCE = 2(50) + 130 = 230°
18). 92 + 27x + (11x + 8) + 15x - 5 = 360°
53x + 95° = 360°
53x = 360° - 95°
53x = 265
x = 5
arc angle RS = 15(5) - 5 = 70°
Therefore, the value of the variable x for the arc angle CD and DE is -1and the arc angle FCE = 230°. Also x = 5 for the arc angles RS, ST, TU, and UR, and the arc angle RS = 70°.
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Which is the Which is the completely factored form of 4x2 + 28x + 49?
(x + 7)(4x + 7)
4(x + 7)(x + 7)
(2x + 7)(2x + 7)
2(x + 7)(x + 7)
completely factored form of 4x2 + 28x + 49?
Answers
All four of these inequalities are true. Use them to find the single whole-number value of g. Use that whole number to unlock the door. Your answer g>0 g≤100 4 5.5 is greater than g?
Answers
To find the value of g, we need to use the inequalities given. Since g>0 and g≤100, we know that g must be a whole number between 1 and 100.
The other two inequalities are not useful for finding g, so we can ignore them.
We don't know what value of g is, but we do know that 5.5 is greater than g. This means that g must be less than 5.5.
The only whole number between 1 and 100 that is less than 5.5 is 5.
So the value of g is 5, and that is the whole number you can use to unlock the door.
evaluate cos(sin^-1 x0)
Answers
Answer:
Pull terms out from under the radical, assuming positive real numbers.
0
Step-by-step explanation:
6.) If it's midnight in North America and the Earth has rotated 180, then how many hours have passed?
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Answer: 12 hours (noon)
Step-by-step explanation:
**For simplicity's sake, we'll use military time (Zulu time).**
- It is 00:00 in North America.
- If one full rotation means a day has passed, or more specifically, that 24 hours have passed, then that means the Earth has rotated 360°.
- So if 360° = 24 hrs, then 180°, being 360/2, or half a rotation, will be 24/2 hrs, or 12 hours.
- So the time is now 12:00, or noon.
Find the exact value of x.
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Applying the Pythagorean theorem, the exact values of x are:
1. x = 13 2. x = 4 3. x = 6 4. x = 8 5. x = 15 6. x = √7
How to Find the Exact Value of x Using the Pythagorean Theorem?If a and b are smaller sides (legs) of a right triangle, and c is the longest side (hypotenuse), the Pythagorean theorem states that:
c = √(a² + b²).
Apply the Pythagorean theorem to find the exact value of x:
1. x = √(12² + 5²)
x = 13
2. x = √(5² - 3²)
x = 4
3. x = √(10² - 8²)
x = 6
4. x = √(17² - 15²)
x = 8
5. x = √(12² + 9²)
x = 15
6. x = √(4² - 3²)
x = √7
Learn more about Pythagorean Theorem on:
https://brainly.com/question/23715284
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