Answers
Using the Pythagorean Theorem for the right angled triangles and observing the given figure, The value of x can't be solved because the hypotenuse must be the longest side of the right angled triangle which is violated in this question.
What is a triangle?A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees.
What is the formula for Pythagorean Theorem?The required formula is:
[tex]h^{2}=p^{2}+b^{2}[/tex]
In the triangle, Hypotenuse is not the biggest side. So, We can't solve for the value of x.
[tex]10^{2} = 15^{2}+x^{2}[/tex]
[tex]x=\sqrt{10^{2}-15^{2}}[/tex]
which yields a negative number inside square root which is not possible to solve.
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Related Questions
AolaksksmsmsmsmsO? A a a a a s sbhuaybua aybaybayabyaba
Answers
Answer: There are several statements that could be false if f(x) is continuous on [a, b] and differentiable on (a, b):
1 The function f(x) has a maximum or minimum value at some point in the interval [a, b].
2 The function f(x) is monotonic (either increasing or decreasing) on the interval [a, b].
3 The function f(x) has an inflection point (a point where the concavity of the function changes) in the interval [a, b].
4 The function f(x) has an asymptote (a line that the function approaches but never touches) in the interval [a, b].
5 Note that these statements are not necessarily false, but they could be false depending on the specific function f(x).
an employer agrees to pay $5,000 for medical insurance and contribute an additional 5% of the employees'
Answers
Answer: $5,250
Step-by-step explanation:
1) Half of 5000 is 2500. But that's 50%.
2) Divide the remaining value by 10. You now have 250, which is 5%.
It's a given rule in math that if you're working with the Powers of 10, by either multiplying or dividing them, all you need to do is add or remove some zeros.
I need help with this question.
Answers
Dude I am so sorry that I do not know this answer
Which of the following is an equivalent form of the compound inequality -33> -3x - 6 ≥
-36?
Answers
The equivalent form of the compound inequality is -9>-x≥-10.
What is a compound inequality?A sentence having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality. The conjunction "and" denotes the simultaneous truth of both statements in the compound sentence. It is when the solution sets for the various statements cross over or intersect. The conjunction "or" means that the entire compound sentence is true as long as either of the two statements is true. It consists of the union or combination of the solution sets for the various statements. A conjunction is a compound inequality that contains the word "and." Even though "and" and "or" are considered to be conjunctions of speech, their meanings in mathematics are distinct from their grammatical counterparts. The conjunction (part of speech) "or"—when used to demonstrate this point—is whenever used in a compound inequality, it creates a disjunction, as the name suggests. Simply keep in mind that "con" stands for "with another" and "dis" for "one OR the other."
Calculation:Given -33>-3x-6≥-36.
Dividing everything by 3 we get -11>-x-2≥-12.
Now adding to every side we get compound inequality as -9>-x≥-10.
The equivalent form of the compound inequality is -9>-x≥-10.
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Learning geometry is tricky but test your knowledge for sure. Please help me. Thank you!!!
Answers
The area of the paper that remains is 375.04cm².
What is an area?
The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Here,
We take it that the semicircles cover the full width of the paper.
So the radius is 16/2 = 8 cm
Since there are two of them, the area is full circle.
First, we find the area of the rectangle before the cuts were made.
Area = L * W
L = 36
W = 16
Area = 36×16 = 576 cm²
Now, we find the area of the circle cutouts.
r = 8
Area = pi * r²
Area = 3.14 * 8²
Area = 3.14 * 64
Area = 200.96cm²
Now, we find the total area left
Total Area Left = rectangle - circle
Total Area Left = 576 - 200.96
Total Area left = 375.04cm².
Hence, the area of the paper that remains is 375.04cm².
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A hose fills a hot tub at a rate of 3.49 gallons per minute. How many hours will it take to fill a 343-gallon hot tub? Question content area bottom Part 1 It will take enter your response here hours to fill the hot tub. How many hours does it take to fill the hot tube?
Answers
If hose fills a hot tub at a rate of 3.49 gallons per minute. Then 1.64 hours will it take to fill a 343-gallon hot tub
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
A hose fills a hot tub at a rate of 3.49 gallons per minute.
We need to find how many hours will it take to fill a 343-gallon hot tub
3.49/1=343/x
Apply cross multiplication
x=343/3.49
x=98.28 minutes
1 hr=60 minutes
So divide 98.28/60
1.64
Hence, it takes 1.64 hours to fill the hot tub.
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Are your finances, buying habits, medical records and phonecalls really private? A real concern for many adults is thatcomputers and the Internet are reducing privacy. A survey conductedby Peter D Hart Research Associates for the Shell Poll was reportedin USA Today. According to the survey, 37% of adults are concernedthat employers are monitoring phone calls. Use the binomialdistribution formula to calculate the probability that:
a. out of 5 adults, none is concerned that employers aremonitoring phone calls.
b. out of 5 adults, all are concerned that employers aremonitoring phone calls.
c. out of 5 adults, exactly 3 are concerned that employers aremonitoring phone calls.
Answers
As per binomial distribution the probability of the following conditions are as follow:
a. probability for out of 5 none is concerned is 0.09924.
b. probability for out of 5 all are concerned is 0.02825
c. probability for out of 5 three are concerned is 0.4669.
As given in the question,
Percent of adults are concerned = 37%
p = 0.37
Percent of adults are not concerned = (100 -37)%
= 63%
1 - p = 0.63
Total number of adults 'n' = 5
Probability using binomial distribution
= ⁿCₓ pˣ ( 1- p)ⁿ⁻ˣ
a. Out of 5 none is concerned
here x = 0
⁵C₀( 0.37)⁰(0.63)⁵⁻⁰
= 0.09924
b. Out of 5 all are concerned
here x = 5
⁵C₅( 0.37)⁵(0.63)⁵⁻⁵
= 0.02825
c. Out of 5 three are concerned
here x = 3
⁵C₃( 0.37)³(0.63)⁵⁻³
= 0.4669
Therefore , using binomial distribution the probability of the given percent of adult data is equal to as follow:
a. probability for out of 5 none is concerned is 0.09924.
b. probability for out of 5 all are concerned is 0.02825
c. probability for out of 5 three are concerned is 0.4669.
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Assume that a sample is used to estimate a population mean
μ
. Find the 90% confidence interval for a sample of size 52 with a mean of 85.5 and a standard deviation of 12.3. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.
Answers
Confidence interval for given data is (82.156,88.843)
What is confidence interval?The confidence interval is the range of values that, if you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time.
The alpha value determines the confidence level, which is the proportion of times you anticipate being able to recreate an estimate between the top and lower boundaries of the confidence interval.
general form of a confidence interval is:
point estimate + Z SE (point estimate)
Formula for confidence interval is given by
[tex]X[/tex] ± [tex]Z\frac{s}{\sqrt{n} }[/tex]
Where:
X is the mean
Z is the chosen Z-value from the table above
s is the standard deviation
n is the number of observations
In given ques
X = 85.5, Z=1.960, s =+ 12.3, n= 52
confidence interval = 85.5± (1.960×12.3/√52)
(82.156,88.843)
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Δ PQR, P=(4 x+11)°, m∠Q=(2 x+1)°, and m∠R=(7 x-14)°. Find m∠P.
Answers
Answer:
67°
Step-by-step explanation:
Th sum of the interior angles of a triangle is 180. Set the measurements of the three sides to 180 and solve for x. Then substitute in the value for x in 4x +11
4x + 11 + 2x + 1 + 7x -14 = 180 Combine like terms
13x - 2 = 180 Add 2 to both sides
13x = 182 Divide both sides by 13
x = 14
Plug this in for x
4x + 11
4(14) + 11
56 + 11
67
Please help me with this problem
Answers
a) The null hypothesis is: [tex]H_0: p \leq 0[/tex]
b) The alternative hypothesis is: [tex]H_1: p > 0[/tex]
c) The test statistic is: z = 9.71.
d) The correct option is of: A. Yes.
e) The confidence interval is of: 0.0819 < p < 0.1336.
What are the hypothesis tested?
At the null hypothesis, it is tested if there is not enough evidence that the proportion for men is greater, that is, the subtraction is not greater than 0:
[tex]H_0: p \leq 0[/tex]
At the alternative hypothesis, it is tested if there is evidence that the proportion for men is greater, that is, if the subtraction is greater than 0, hence:
[tex]H_1: p > 0[/tex]
We have a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.01, hence the critical value is of:
z = 2.327.
Thus the decision rule regarding the test statistic is given as follows:
z < 2.327 -> not enough evidence of difference -> do not reject the null hypothesis.z > 2.327 -> enough evidence of difference -> reject the null hypothesis.What are the mean and the standard error of the distribution of differences?For each sample, the mean and the standard error are given as follows:
Men: [tex]p_m = \frac{88}{800} = 0.11, s_m = \sqrt{\frac{0.11(0.89)}{800}} = 0.0111[/tex]Women: [tex]p_w = \frac{6}{2750} = 0.0022, s_w = \sqrt{\frac{0.0022(0.9978)}{2750}} = 0.0009[/tex]Hence, for the distribution of differences, the mean and the standard error are given as follows:
Mean: p = 0.11 - 0.0022 = 0.1078.Standard error: s = sqrt(0.0111² + 0.0009²) = 0.0111.What are the test statistic and the conclusion:The test statistic is given by the division of the mean by the standard error of the sampling distribution of the difference of sample proportions, hence:
z = 0.1078/0.0111 = 9.71.
z > 2.327 -> enough evidence that the proportion is greater.
What is the confidence interval?The confidence interval is obtained as the mean plus/minus the multiplication of the standard error and of the critical value.
Then the bounds of the interval are:
Lower bound: 0.1078 - 2.327 x 0.0111 = 0.0819.Upper bound: 0.1078 + 2.327 x 0.0111 = 0.1336.More can be learned about the test of an hypothesis at https://brainly.com/question/13873630
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PLEASE SOLVE FOR X I REALLY NEED HELP
Answers
Answer:
Below
Step-by-step explanation:
The bisector divides the base into lengths proportionate to the two sides (Angle Bisector theorem)
x+ 2 = 15/(15+20) * 14
x = 4 units
Which box-and-whisker plot represents this data: ?
A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from 18 to between 24 and 26 with no median value.
A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 12 and 14 and between 26 and 28 with a median of 22.
A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 8 and 10 to 28 with a median between 20 and 22.
A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 12 and 14 to between 26 and 28 with a median between 20 and 22.
Answers
A box-and-whisker plot which represents the given data is: B. A box-and-whisker plot is shown. The number line goes from 2 to 38. The whiskers range from 6 to 30, and the box ranges from between 12 and 14 and between 26 and 28 with a median of 22.
What is a box-and-whisker plot?In Mathematics, a boxplot is also referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:
Minimum = 6.First quartile = 13.Median = 22.Third quartile = 27.5.Maximum = 30.By critically observing the box-and-whisker plots (see attachment), we can logically deduce that boxplot A correctly represents the given data set.
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Complete Question:
Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?
matie has 4 times as many stamps as arnav. if matie gives arnav 8 stamps, matie will have twice as many stamps as arnav. how many stamps does each boy have.
Answers
Answer: Mattie has 16 stamps and Arnav has 4 :)
Step-by-step explanation:
the system of equations used to solve it is
m=4a
m-8=2a
Martie have 48 stamps and Arnav have 12 stamps.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let Matie has x stamps and Arnav has y stamps.
Given that,
Matie has 4 times as stamps as Arnav
Implies that,
x = 4y (1)
Also, If Matie gives 8 stamps to Arnav will have twice stamps to Arnav.
Implies that,
x - 8 = 2(y+8)
x - 8 = 2y + 16
x = 2y + 24 (2)
From equation (1) and (2),
y = 12
and x = 48
Matie and Arnav each have 48 and 12 stamps respectively.
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What is the inverse of 12/(x-1)
100 points please I really want to figure this out
Answers
The inverse of the expression represented as 12/(x-1) is (12/x) + 1
How to determine the inverse of the expression?From the question, we have the following parameters that can be used in our computation:
12/(x - 1)
The given parameter is an expression
Also, we can see that the above expression is a quotient expression
So, we start by expressing it as an equation
This is represented as
y = 12/(x - 1)
Swap/Switch the positions of the variables x and y
So, we have the following representation
x = 12(y - 1)
This gives
y - 1 = 12/x
Make y the subject
y = (12/x) + 1
Hence, the inverse is (12/x) + 1
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Help i dont know how to do this problems.
Answers
The value of x = 9 (back)
The value of x = 12 (orange)
The value of x = 8 (purple)
The value of x = 12.75 (green).
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
10 and 2x - 8 are parallel lines.
10 = 2x - 8
10 + 8 = 2x
18 = 2x
x = 9 (black)
7 and -17 + 2x are the two parts of a line separated by a midpoint.
7 = -17 + 2x
7 + 17 = 2x
2x = 24
x = 12 (orange)
7 and x + 15 are two parts of a line separated by a midpoint.
7 = x + 15
7 - 15 = x
x = 8 (purple)
m∠2 = 4x + 8
one angle = 45°
Other angle = 180 - 104 = 76°
The sum of the triangles is 180.
45 + 4x + 8 + 76 = 180
4x = 180 - 129
4x = 52
x = 12.75 (green)
Thus,
The value of x = 9 (back)
The value of x = 12 (orange)
The value of x = 8 (purple)
The value of x = 12.75 (green).
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35/17 as rounded decimal tenths place
Answers
six pounds of potatoes cost 12.90 how much would 3.5 pounds cost
HELP
Answers
Answer:x=$7.31
Step-by-step explanation:6lbs
$12.90 x
6lbs x=($12.90 )(3.4 lbs)
6lbs x=43.86$lbs
6lbs x/6lbs=43.86$lbs/6lbs
One year, the population of a city was 102,000. Several years later it was 110,160. Find the percent increase.
Answers
Answer:
8% increase
Step-by-step explanation:
Difference between the two populations: 110160 - 102000 = 8160
Difference ÷ Initial population: 8160 ÷ 102000 = 0.08
What operation do you use when you distribute the number that is outside the
parenthesis to all of the numbers that are
inside the parenthesis?
Answers
Answer:
multiplication
Step-by-step explanation:
you multiply. I know this because I am in pre algebra right now and we learned about this again. If you are doing division then it’s the opposite same for subtraction as well as addition.
The plane is perpendicular to the axis but does not go through the vertex.
The plane intersects the double cone at only the vertex.
The plane is not intersecting the vertex, not parallel to the axis, not perpendicular to the axis, not parallel to the side of the cone, and it intersects only one cone.
The plane is tangent to both of the cones.
answers:
line
point
circle
elipse
match these
Answers
The plane is perpendicular to the axis but does not go through the vertex. The plane intersects the double cone at only the vertex is ellipse.
How to identify the properties of an ellipse?A planar curve that has two focal points is normally called an ellipse on the condition that at every point on the curve, it will be seen that the sum of the two distances from the focal points is constant. This generalizes the shape of a circle, which is a unique variety of an ellipse whereby the two focus points coincide.
The plane is said to not be intersecting with the vertex, not parallel to the axis nor perpendicular to the axis, then not parallel to the side of the cone, but it intersects only one cone is called a circle.
A circle is defined as a closed, two-dimensional object whereby every point in the plane is seen to be equally spaced from a central point. The line of reflection symmetry is seen to be formed by all lines that transverse the circle. Additionally, every angle has rotational symmetry around the center.
Thus, the conclusion is that the first two options are properties of an ellipse.
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A decade ago, the average class size at Newton Middle School was 30 students. Now it is 30% smaller. What is the average class size currently?
Answers
Answer: 21 students
Step-by-step explanation:
A number being 30% smaller means that it has reduced to 70% of its original size.
This means we can multiply the original value by its new percentage, 30x0.7=21 students.
Find the mean and standard deviation of the sample data in the table. (Round your answers to two decimal places.) x = [1, 2, 3, 4, 5]
f(x) = [2, 13, 15, 11, 13]
Answers
The mean and standard deviation of the sample data in the table is 182 and 508 respectively.
To calculate the mean and standard deviation,
mean= E(x)
= ∑x*f(x)
= 1(2) + 2(13) + 3(15)+4(11) + 5(13)
=2+26+45+44+65
=182
Standard deviation = E(x²)
= ∑x²*f(x)) - E(x)
=1(2) + 4(13) + 9(15)+16(11) +25(13) - E(x)
= 2 +52+135+176+325 - E(x)
=690 - 182 - E(x)
=508
The mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally.
The three most frequently employed measures of central tendency are the mean, median, and mode.
The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean.
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which of the following is the best approximation of the volume of this cylinder
Radius=8
Height=3
Answers
Answer:
..........................
which equation is in slope-intercept form?
Answers
Answer: y = 3/2x +-9
Step-by-step explanation:
The equation in slope-intercept form, y = mx + b, is the equation y = 3/2x +-9.
See attached for more information on slope-intercept form.
What is equivalent to 2
Answers
Answer:
4 6 8 10
Are the ans
Step-by-step explanation:
Plus 2 each time
the chart shows the number of points different players scored during a game. what is the ratio of marcus's points to scott's points? responses
Answers
The ratio of Marcus's point to Scott's point will be = 1 : 2
According to the table given attached below,
We can find the ratio of the squares,
First, let us know about the definition of Ratio and Proportion.
The ratio is defined as the comparison between the two similar quantities
The fraction can also be represented as a ratio using the ' : ' sign
For example, let us consider two numbers a and b
In fraction, we could write it as = [tex]\frac{a}{b}[/tex]
Writing it as a ratio = a : b
According to the table given below,
Marcus's points = 7
Scott's points = 14
The ratio of Marcus's points to Scott's points = [tex]\frac{Marcus}{Scott}[/tex]
14 / 7
2 / 1
2 : 1
Therefore, The ratio of Marcus's point to Scott's point will be = 1 : 2
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Decide where the first digit of the quotient should be placed. Do not complete the
division.
The first digit in the quotient of 1, 592 64 is in the
Choose...
place.
Answers
The first digit in the quotient of 1, 592 64 should be placed in the; Hundredths place.
How to find the quotient with Long division?
When we carry out long division, it is pertinent to note that the first digit of the quotient usually appears over the least significant digit of the very first portion of the dividend that is now greater than or equal to the divisor.
In this question, when we perform long division, we compare;
64 vs 1 . . . no quotient digit
64 vs 15 . . . no quotient digit
64 vs 159 . . . the first quotient digit appears with the same place value as the 9 in 1.59. That is, the first quotient digit will be 0.02, with 2 being in the hundredths place.
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A train travels for 3.75 hours at 80 miles an hour. Use the formula d = r. t, where
d = distance, r = rate, and t = time, to find the distance the train traveled.
The distance traveled is
miles.
The solution is
Answers
The distance traveled by train would be 300 miles.
What is the relation between speed, distance, and time?
You can use the equivalent formula d = rt which means distance equals rate times time. To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time. To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
A train travels for 3.75 hours at 80 miles per hour.
The distance traveled = speed * time
= 3.75 * 80
= 300 miles.
Hence, the distance traveled by train would be 300 miles.
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5) A woman wants to borrow $12,000 to buy a car. She wants to repay the loan by monthly installments
for 4 years. If the interest in the loan is 10.5% per year, compounded monthly, what is the amount of
each payment?
Answers
Answer:
to much money to buy a car I try to work it down to 10k
Graph the linear equation by solving for y first.
4x+5y=-2
Answers
Solving for y, the linear equation is: y = -4/5x - 2/5.
The table showing the corresponding y-value for each x-value is:
x | -8 -3 2 7
y | 6 2 -2 -6
The graph is in the attachment.
How to Graph a Linear Equation?To graph the linear equation of 4x + 5y = -2, rewrite in slope-intercept form by solving for y.
4x + 5y = -2
5y = -4x - 2
y = -4/5x - 2/5
Complete the table given by plugging each value of x into the linear equation, y = -4/5x - 2/5.
For x = -8:
y = -4/5(-8) - 2/5
y = 6
For x = -3:
y = -4/5(-3) - 2/5
y = 2
For x = 2:
y = -4/5(2) - 2/5
y = -2
For x = 7:
y = -4/5(7) - 2/5
y = -6
The complete table is:
x | -8 -3 2 7
y | 6 2 -2 -6
See the graph below.
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