In the figure, L1 || L2. 2x=174º. Find Za+Zb.
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Answer:
12°
Step-by-step explanation:
We assume you mean ...
∠x = 174°
Angle a is supplementary to angle x, so is ...
∠a = 180° -174° = 6°
Angle b is a vertical angle with respect to angle 'a', so is the same measure.
∠a +∠b = 6° +6° = 12°
2) Consider the quadratic sequence 72, 100, 120, 132
2.1.1) Determine Tn the nth term of the quadratic.
Answer:
Tn = -4n²+40n+36
Step-by-step explanation:
A general quadratic sequence, Tn = an²+bn+c, where n is the term of the sequence.
So, when n = 1, Tn = 72, which means T1 = a+b+c=72.
when n = 2, Tn = 100, which means T2= 4a+2b+c = 100
when n = 3, Tn = 132, which means T3 = 9a+3b+c = 132.
Now, use a calcaulatot to solve the 3 variable simultaneous equation. According to my calculator, a = -4, b = 40, c = 36.
Hence, you a, b, and c in the Tn equation given above.
Therefore, Tn = -4n²+40n+36
A data set on money spent on lottery tickets during the past year by households has a lowest value of and a highest value of . Suppose we want to group these data into classes of equal widths. Assuming we take the lower limit of the first class as and the width of each class equal to , what are the class boundaries and class midpoints
Answer:
Following are the complete solution to the given question:
Step-by-step explanation:
The Lower-limit of the Ist class: [tex]\$1[/tex]
The width of the class interval: [tex]\$200[/tex]
Lower-limit for the next five-class: [tex]\$201, \$401, \$601, \$801, \$1001[/tex]
Upper-limit for the next five-class: [tex]\$200, \$400, \$600, \$800, \$1000, \$1200[/tex]
For point a:
class intervals
[tex]\$1-\$200\\\\ \$201-\$400\\\\ \$401-\$600\\\\ \$601-\$800 \\\\\$801-\$1000\\\\ \$1001-1200[/tex]
For point b:
Mid-points:
[tex]\$100.5\\\\\$300.5\\\\\$500.5\\\\\$700.5\\\\\$900.5\\\\\$1000.5\\\\[/tex]
How many more combined faces and vertices does a prism have than edges
A.1
B.2
C.3
D.4
Answer:
1
Step-by-step explanation:
I hope my answer is write
How do you figure out -8=8-7n+3n
Answer:
n=4
Step-by-step explanation:
-8-8=-7+3n
-16=-4n
n=4
#16 What is the value of x?
Answer:
x = 25 , x = 136
Step-by-step explanation:
(15)
The opposite angles of a cyclic quadrilateral are supplementary , sum to 180°
3x + 105 = 180 ( subtract 105 from both sides )
3x = 75 ( divide both sides by 3 )
x = 25
(16)
The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, then
x = [tex]\frac{1}{2}[/tex] (VW + UX) = [tex]\frac{1}{2}[/tex](115 + 157) = [tex]\frac{1}{2}[/tex] × 272 = 136
What is the length of ef in the right triangle below 25 7
Answer:
Can we see the picture?
Step-by-step explanation:
(7-6) + (-1 + 47) -(4-77)
Hi can someone reply me I am not sure how to factorise (2x+3)(4x-1)-(3+2x)(x-5)
I hope this is a real answer
Line p and q are parallel lines. The slope of line q is -3. Determine the slope of line p
Answer:
-3
Step-by-step explanation:
since the lines are parallel, they have the same slope because they never intersect
If a person invests $100 at 4% annual interest, find the approximate value of
the investment at the end of 10 years.
Answer:
$140
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 100
r = 4% = 0.04
t = 10
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 100(1 + 0.04 · 10)(Parenthesis) Multiply: A = 100(1 + 0.4)(Parenthesis) Add: A = 100(1.4)Multiply: A = 140Which graph represents the solution to this system of inequalities?
x + y < 4
2x − 3y ≥ 12
Answer:
A
Step-by-step explanation:
The answer is A because the systems of inequalities are plotted correctly like A shows.
Write the equation of the line through the points (1,3) & (-2,5)in slope-intercept form
Answer:
-2/3
Step-by-step explanation:
Well you would use slope-intercept formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Then you need to plug in your numbers so it would look like [tex]\frac{5-3}{-2-1}[/tex]. then it would look like [tex]\frac{2}{-3}[/tex] and that would be your m. The next step would be to
Your friend is studying for an exam. Based on your knowledge of your friend, you believe that if they study for the exam, there is an 80% probability they will be able to pass it. On the other hand, if they do not study, there is only a 30% probability they will be able to pass. Your friend is not a particularly industrious student, and you initially believe there is only a 60% probability your friend will study for the exam. A few days later your friend happily proclaims that they passed the exam. Thus, find the probability that they did in fact study for the test with this knowledge in hand.
Answer:
0.8 = 80% probability that they did in fact study for the test.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Passed the exam.
Event B: Studied.
Probability of passing the test:
80% of 60%(Studied).
30% of 100 - 60 = 40%(did not study). So
[tex]P(A) = 0.8*0.6 + 0.3*0.4 = 0.6[/tex]
Probability of passing the test studying:
80% of 60%, so:
[tex]P(A \cap B) = 0.8*0.6 = 0.48[/tex]
Find the probability that they did in fact study for the test with this knowledge in hand.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.48}{0.6} = 0.8[/tex]
0.8 = 80% probability that they did in fact study for the test.
How do I solve this ?
Answer:
a = 4/ 1 − | x | h = 0
Step-by-step explanation:
Use the method of cylindrical shells to write out an integral formula for the volume of the solid generated by rotating the region bounded by the curve y = 2x - x^2 and the line y = x about the y-axis.
Answer:
The answer is "[tex]\frac{5\pi}{6}[/tex]"
Step-by-step explanation:
Please find the graph file.
[tex]h= y=2x-x^2\\\\r= x\\\\Area=2\pi\times r\times h\\\\= 2 \pi \times x \times (2x-x^2)\\\\= 2 \pi \times 2x^2-x^3\\\\volume \ V(x)=\int \ A(x)\ dx\\\\= \int^{x=1}_{x=0} 2\pi (2x^2-x^3)\ dx\\\\= 2\pi [(\frac{2x^3}{3}-\frac{x^4}{4})]^{1}_{0} \\\\= 2\pi [(\frac{2}{3}-\frac{1}{4})-(0-0)] \\\\= 2\pi \times \frac{5}{12}\\\\=\frac{5\pi}{6}\\\\[/tex]
Can someone help me out please
The median is the middle value of a set.
There are 9 numbers. 9/2 = 4.5
Round up to 5, the median is the 5th number in the set.
Median = 6
Harrison Water Sports has three retail outlets: Seattle, Portland, and Phoenix. The Seattle store does 50 percent of the total sales in a year, while the Portland store does 35 percent of the total sales. Further analysis indicates that of the sales in Seattle, 20 percent are in boat accessories. The percentage of boat accessories at the Portland store is 30 and the percentage at the Phoenix store is 25. Overall, the probability that a sale by Harrison Water Sports will be for a boat accessory is
Answer:
The correct answer is "0.43".
Step-by-step explanation:
According to the question,
The probability of boat accessories sale,
= 0.3
The probability of sale in Portland store,
= 0.35
now,
The probability that the decision was signed somewhere at Portland shop will be:
= [tex]\frac{P(boat \ acessories \ sale\times P(sale \ in \ Portland \ store)}{P(boat \ accessories \ sale)}[/tex]
By substituting the values, we get
= [tex]\frac{ 0.3\times 0.35}{( 0.2\times 0.5 + 0.3\times 0.35 + 0.25\times 0.15)}[/tex]
= [tex]\frac{0.105}{0.1+0.105+0.0375}[/tex]
= [tex]0.43[/tex]
which of the following is equal to 7 1/4
Answer:
29/4
Step-by-step explanation:
convert to improper fraction
(752+158)-625
Compute in most convenient way
Answer:
285
Step-by-step explanation:
First, you would add 752 and 158. The sum is 910. Then, you subtract 625 and get 285.
I’ll mark u plz help
Answer:
A. 3/2
Step-by-step explanation:
I like to think of it as shift left or right by the numerator and shift up or down by the denominator. So I go over three and up two from (-3, -1) to reach (0, 1)
Answer:
3divided by 2 I think...
What is the following product? ^3Vx^2•^4VX^3
Answer:
= 3v^2 x^27
Step-by-step explanation:
Apply exponent rule: aa = a^2
VV = V^2
=3V^2x^24x^3
Simplify x^24 x^3 : x^27
= 3v^2 x^27
Which of the following statements is likely to be true?
a) The median personal income of California taxpayers would probably be near the mean.
b) For personal incomes in California, outliers in either tail would be equally likely.
c) The interquartile range offers a measure of income inequality among California residents.
d) For income, the sum of squared deviations about the mean is negative about half the time.
Answer:
c. The interquartile range offers a measure of income inequality among California residents.
Step-by-step explanation:
The range is the midspread which measures statistical dispersion. This is also known as H-spread which is equal to the difference between 75th percentile and 25th percentile. In the given scenario the interquartile range offers measure of income inequality among California residents.
A researcher is studying the effect of 10 different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable, the stepwise regression technique is used. How are variables selected for inclusion in the model?
A. Smallest regression coefficient.
B. Largest p-value.
C. Smallest p-value.
D. Highest increase in the multiple R2.
Answer:
D. Highest increase in the multiple R2.
Step-by-step explanation:
Included variables in a multiple regression model are those variables which have the most effect on the model ; variables which have no effect on the performance of the model ar discarded. Model performance are based on the variables affect the multiple R² value of the model. The R² value is the coefficient of determination which gives the proportion of change in predicted value based on the regression line. Higher R² value means the variable has greater effect in the model performance. Therefore, variables which have the highest increase on the multiple R² value , are included.
Help me please look at image I’ll give brainliest to first correct answers
Answer:
1
4
3
6
2
5
Step-by-step explanation:
Too lazy to explain 6 factorings on mobile. Trust me if it pleases you.
Follow the process of completing the square to solve x = 4x +3.
x -
Which of the following equations is used in this process?
(2x - 42.19
(2x4,2= 12
(2x 42-28
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Answer:
the correct choice is marked
Step-by-step explanation:
The process for completing the square would generally put x-terms on one side of the equal sign and the constant term on the other side:
x^2 +4x = 3
Then the square of half the x-coefficient would be added to both sides. Here, that is (4/2)^2 = 4.
x^2 +4x +4 = 7
In order to make this match one of the answer choices, we must multiply both sides by 4.
4x^2 +16x +16 = 28
Now, we can factor the left side to see a match to the last answer choice.
(2x +4)^2 = 28
_____
Additional comment
As you can see, we had to deviate from the "complete the square" process to arrive at an equation that matches an answer choice. It cannot be said that the chosen equation "is used in the process." It might be useful to discuss this question with your teacher.
Please help, i really need this.
15 points
9514 1404 393
Answer:
548 W
Step-by-step explanation:
The work done to raise 4 kg to a height of 12 m against gravity is ...
W = Fd = Mgd = (4 kg)(9.8 m/s²)(12 m) = 470.4 J
The power output of the pump doing this work each second is ...
P = (470.4 J)/s = 470.4 watts
Since the pump is only 86% efficient, the power input is ...
Pout = eff × Pin
Pin = Pout/eff
Pin = (470.4 W)/(0.86) ≈ 548 W
_____
Additional comment
The rating of a motor often has little to do with its actual input power or its ability to do work. The rating is used for purposes such as circuit-breaker and wire sizing, or other aspects of sizing the physical plant surrounding the motor (including piping, in the case of a pump). While we can calculate a value for input power, we cannot make any claim regarding the power rating of the pump.
simple interest on certain principle is 1/5 of the amount in 5 yrs find rate.
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Answer:
4%
Step-by-step explanation:
The simple interest formula can be used.
I = Prt
where r is the annual rate and t is the number of years.
1/5 = 1·r·5
(1/5)/5 = r = 1/25 · 100% = 4%
The rate is 4%.
The table shows the distribution, by age and gender, of the 31.6 million people who live alone in a certain region. Use the data in the table to find the probability that a randomly selected person living alone in the region is in the 25-34 age range.
The probability is ___.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
0.1487
Step-by-step explanation:
From the table :
The total number of people living alone in the region = 31.6
The number of people living in the region who fall with the 25 - 34 age range is 4.7
Probability, P = required outcome / Total possible outcomes
P(range 25 - 34) = (number of people who fall within the 25 - 34 age range) / total population
P(range 25 - 34) = 4.7 / 31.6 = 0.1487
ASAP!!!!!!!!!!!!!!!!!!!
Answer:
V = 2143.57 cm^3
Step-by-step explanation:
We want to find the volume of the sphere
V = 4/3 pi r^3 where r is the radius and pi = 3.14
V = 4/3 ( 3.14) ( 8)^3
V = 2143.57333 cm^3
Rounding to the nearest hundredth
V = 2143.57 cm^3
Answer: 2,143.57
Step-by-step explanation: because the formula to do it is the use the radius and search up the sphere formula and do it