On solving the question, by the help of angle sum property of triangle, we got that x= 14
What is Triangle?Having three edges and three vertices, a triangle has three sides. The most significant characteristic of triangles is the fact that their interior angles add up to 180 degrees.
According to sides, what are the three different types of triangles?Scalene, isosceles, and equilateral triangles are the three types of triangles that can have three sides.
Now, value of x is -
(x+27)° + 70° + (x + 55)° = 180° ( Sum of al angles in a triangle is 180°)
2x + 152 = 180°
2x = 28
x=14
To know more about triangles visit:
https://brainly.com/question/2773823
#SPJ1
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
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
To know more about Ratios and Proportions,
https://brainly.com/question/7096655
#SPJ4
If 20% of an income of a man is Rs 4,800, find his income
The income of the man is 24000.
Step-by-step explanation:
income of man =24000
Let the income of man be x
According to the question,
20%*x = 4800
0.2x=4800
As a result, x =24000
(4800*10= 48000/2= 24000)
So the income of a man is 24000.
Learn more about Percentage equations:
brainly.com/question/28189060"
Man's income is, 24000 rupees.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given, 20% of an income of a man is Rs 4,800.
To find the income:
Use percentage formula,
let m be the man's income.
So, m x 20 / 100 = 4800
Rearranging,
m = 4800 x 100 / 20
m = 24000
Therefore, the income is, 24000 Rs.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
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
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.
Read more about ellipse at; https://brainly.com/question/9702250
#SPJ1
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?
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.
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?
Answer:
to much money to buy a car I try to work it down to 10k
Help i dont know how to do this problems.
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).
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ1
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]
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.
To learn more about mean
brainly.com/question/24168815
#SPJ4
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
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.
To learn more about speed, distance, and time, visit:
https://brainly.com/question/13771725
#SPJ1
What is the inverse of 12/(x-1)
100 points please I really want to figure this out
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
Read more about inverse at
https://brainly.com/question/21973802
#SPJ1
Let f(x)= 4x2-3 and let g(x)= 2x+3. Find (fg)(3).
(f+g)(3)=
The value of (f . g) (3) is 594 and (f + g) (3) is 42 when function is f(x) = 4x² - 3 and g(x) = 2x + 3.
i) (f . g) (3)
(f . g) (x) = f(x) . g(x)
(f . g) (3) = f(3) . g(3)
= 4(3)² - 3 * 2(3) + 3
= 36 - 3 * 6 + 3
= 33 * 18
(f . g) (3) = 594
The value of (f . g) (3) is 594 when function is f(x) = 4x² - 3 and g(x) = 2x + 3
ii) ( f + g )( 3 )
( f + g )( x ) = f ( x ) + g ( x )
( f + g )( 3 ) = f (3 ) + g ( 3 )
= 4(3)² - 3 + 2(3) + 3
= 4(9) + 6
= 36 + 6
( f + g )( 3 ) = 42
The value of (f + g) (3) is 42 when function is f(x) = 4x² - 3 and g(x) = 2x + 3.
To know more about function check the below link:
https://brainly.com/question/10439235
#SPJ1
Δ PQR, P=(4 x+11)°, m∠Q=(2 x+1)°, and m∠R=(7 x-14)°. Find m∠P.
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
What is equivalent to 2
Answer:
4 6 8 10
Are the ans
Step-by-step explanation:
Plus 2 each time
Which of the following is an equivalent form of the compound inequality -33> -3x - 6 ≥
-36?
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.
To know more about compound inequality, visit:
https://brainly.com/question/24761100
#SPJ1
Please help me with this problem
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
#SPJ1
Learning geometry is tricky but test your knowledge for sure. Please help me. Thank you!!!
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.
To learn more about the area from the given link
https://brainly.com/question/25292087
#SPJ1
(4) The following question is from a New York State Algebra Common Core Exam.
Graph y=f(x) and y= g (x) the set of axes below.
f(x)=2 x²-8 x+3
g(x)=-2 x+3
State all paints that make both equations true.
The points that make both equations true are, (0,3) and (-3,3).
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the equations is attached with the answer below. The points are (0,3) and (-3,3).
To know more about quadratic equations follow
https://brainly.com/question/1214333
#SPJ1
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.
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)
Learn more about confidence interval here:
https://brainly.com/question/17212516
#SPJ1
six pounds of potatoes cost 12.90 how much would 3.5 pounds cost
HELP
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
PLEASE SOLVE FOR X I REALLY NEED HELP
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
One year, the population of a city was 102,000. Several years later it was 110,160. Find the percent increase.
Answer:
8% increase
Step-by-step explanation:
Difference between the two populations: 110160 - 102000 = 8160
Difference ÷ Initial population: 8160 ÷ 102000 = 0.08
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?
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.
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ1
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.
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.
To know more about Equation on:
https://brainly.com/question/187506
#SPJ2
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.
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.
Learn more about probability here
brainly.com/question/11234923
#SPJ4
AolaksksmsmsmsmsO? A a a a a s sbhuaybua aybaybayabyaba
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).
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.
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.
Read more about Long division at; https://brainly.com/question/25289437
#SPJ1
an employer agrees to pay $5,000 for medical insurance and contribute an additional 5% of the employees'
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.
Graph the linear equation by solving for y first.
4x+5y=-2
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.
Learn more about the graph of linear equations on:
https://brainly.com/question/14323743
#SPJ1
which equation is in slope-intercept form?
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.
I need help with this question.
Dude I am so sorry that I do not know this answer
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?
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.