Answer:
[tex]\frac{2}{10}, 0.3, \frac{5}{10},0.8,\frac{9}{10}[/tex]
Step-by-step explanation:
Given
[tex]\frac{9}{10}, 0.3, 0.8,\frac{5}{10}, \frac{2}{10}[/tex]
Required
Order from the least
We have:
[tex]\frac{9}{10}, 0.3, 0.8,\frac{5}{10}, \frac{2}{10}[/tex]
Express all as decimal
[tex]0.9, 0.3, 0.8,0.50, 0.20[/tex]
Rearrange from least
[tex]0.20, 0.3, 0.50,0.8,0.9[/tex]
Express converted numbers as fractions
[tex]\frac{2}{10}, 0.3, \frac{5}{10},0.8,\frac{9}{10}[/tex]
According to the rational root theorem, which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20?
Answer:
(x-2), (x+2), (3x-5)
Step-by-step explanation:
Factors of 3: ±1, ±3
Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20
Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)
Pick a number to divide the polynomial by (I picked 2)
(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10
So (x-2) is a factor of f(x) = 3x³-5x²-12x+20
Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20
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.
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
(7-6) + (-1 + 47) -(4-77)
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°
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
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
How do you figure out -8=8-7n+3n
Answer:
n=4
Step-by-step explanation:
-8-8=-7+3n
-16=-4n
n=4
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
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
What is the length of ef in the right triangle below 25 7
Answer:
Can we see the picture?
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]
(6 + 8) (3 - 2) = help plz
Answer:
Step-by-step explanation:
(6+8i)(3-2i)
use FOIL
18 - 12i + 24i - (16[tex]i^{2}[/tex])
18 + 12i - (-16)
18 + 12i + 16
34 + 12i
which of the following is equal to 7 1/4
Answer:
29/4
Step-by-step explanation:
convert to improper fraction
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
What is the maximum amount of a loan you can get if you pay $700 each month at a yearly rate of 0.89% for 10 years?
Answer:
$785.17
Step-by-step explanation:
Given data
PV is the loan amount
PMT is the monthly payment
i is the interest rate per month in decimal form (interest rate percentage divided by 12)
n is the number of months (term of the loan in months)
PMT =$700
n = 10 years
i = 0.89%
The formula for the loan amount is
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
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.
URGENT!!!!!!! HELP PLEASE!!!!!!
Answer:
[tex]x^\frac{2}{3}[/tex]
Step-by-step explanation:
Using the power of power rule (multiply the exponents)
[tex]x^\frac{4}{3}[/tex] × [tex]^\frac{1}{3}[/tex] [tex]x^\frac{2}{3}[/tex] × [tex]^\frac{1}{3}[/tex]
[tex]x^\frac{4}{9}[/tex] [tex]x^\frac{2}{9}[/tex]
When exponents are multiplied, add the answers:
x ^ ( 4/9 + 2/9 )
x ^ ( 6/9 )
x ^ ( 2/3 )
#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
Which 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.
(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.
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%.
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.
Find a33 of the arithmetic sequence given a1=17 and d=6.
Answer:
209
Step-by-step explanation:
Given the following:
[tex]a_{1} = 17\\d=6[/tex]
The nth term of an arithmetic sequence is expressed as:
[tex]a +(n-1)d[/tex]
a is the first term = 17
d is the common difference =6
Get the 33rd term:
[tex]n=33\\a_{33}=17+(33-1)*6\\a_{33} =17+32(6)\\a_{33}=17+192\\a_{33}=209[/tex]
Hence the 33rd term is 209
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 = 140A square with a side of 8 cm is enlarged by a scale factor of 3. What would be the side length of the new square?
22 cm
20 cm
18 cm
24 cm
Answer:
24cm
Step-by-step explanation:
Length = 8 × 3
= 24cm
hope it helps
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.
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...
How do I solve this ?
Answer:
a = 4/ 1 − | x | h = 0
Step-by-step explanation:
