Answer:
41/99
a fraction equivalent to the the repeating decimal number is 41/99. to check this you can decide the numerator by the denominator (41 ÷ 99)
The fraction equivalent to the repeating decimal 0.41 is 41/99.
What is an expression?An expression is a mathematical phrase that can contain variables, constants, and mathematical operations, but does not have an equals sign. Expressions are used to represent mathematical relationships and to evaluate numerical values.
To convert the repeating decimal 0.41 into a fraction, we can follow these steps:
Let x = 0.41, then multiply both sides of this equation by 100 to remove the decimal point:
100x = 41.41
Now, subtract the left-hand side of the equation from the right-hand side:
100x - x = 41.41 - 0.41
Simplifying, we get:
99x = 41
Dividing both sides by 99, we get:
x = 41/99
Therefore, the fraction equivalent to the repeating decimal 0.41 is 41/99.
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how many real solutions will y=x^2 and y=-2x have? what are the solutions?
Answer:
there is none
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
Real number solutions only or real and complex solutions. A solution to the system:
y=-2x+2
y=x2-2x+4
is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that
-2x+2=x2-2x+4
solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.
Market research suggests that in a five year period 8% of people with cable television will get rid of it, and 26% of those without it will sign up for it. Compare the predictions of the Markov chain model with the following data on the fraction of people with cable TV: 56.4% in 1990, 63.4% in 1995, and 68.0% in 2000. What is the long run fraction of people with cable TV?
Answer: in the long run, 76.47% will have Cable TV
Step-by-step explanation:
Given the data in the question;
the matrix of transition from having cable TV to not having cable TV is
P = [ 0.92 0.08
0.26 0.74 ]
Now if [ 0.564 0.436 ] is the distribution in 1990,
then in 1995 we have;
[ 0.564 0.436 ] [ 0.92 0.08 = [ 0.6322 0.3678 ]
0.26 0.74 ]
so 63.22% will have cable TV in 1995
[ 0.6322 0.3678 ] [ 0.92 0.08 = [ 0.6773 0.3227 ]
0.26 0.74 ]
also 67.73% will have cable TV in 2000
let V = [ V1 V2 ] be the long run vector then
V1 + V2 = 1 ------lets say equ1 and VP = V
⇒[ V1 V2 ] [ 0.92 0.08 = [V1 V2 ]
0.26 0.74 ]
⇒0.92V1 + 0.26V2 = V1
0.08V1 + 0.74V2 = V2
OR 0.26V2 = 0.08V1
from equ 1, V1 = (1 - V2)
SO
0.26V2 = 0.08 (1 - V2)
0.26V2 = 0.08 - 0.08V2
0.34V2 = 0.08
V2 = 0.08 / 0.34
V2 = 0.2353
THUS
0.26V2 = 0.08V1
0.26(0.2353) = 0.08V1
0.061178 = 0.08V1
V1 = 0.061178 / 0.08
V1 = 0.7647
Therefore in the long run, 76.47% will have Cable TV
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
HELP QUICK
Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?
Answer:
25 inches
Step-by-step explanation:
Given
Son:
[tex]Height = 40\ inch[/tex]
[tex]Shadow = 24\ inch[/tex]
Woman:
[tex]Height = 41.4\ inch[/tex]
Required
Determine the height of the woman's shadow
From the question, the height is directly proportional to the height of the shadow:
So, we have:
[tex]40\ inch = 24\ inch[/tex] --- For the son
and
[tex]41.4\ inch = x[/tex]
Where x represents the shadow of the woman
Cross Multiply:
[tex]x * 40 = 24 * 41.4[/tex]
[tex]x * 40 = 993.6[/tex]
[tex]40x = 993.6[/tex]
Make x the subject
[tex]x = 993.6/40[/tex]
[tex]x = 24.84[/tex]
[tex]x = 25[/tex] ---- approximated
Hence, the woman's shadow is 25 inches tall
n/4 + 1 =5 how do I solve this and show my work
Answer:
n/4 + 1 =5
n/4 = 5-1
n/4 = 4
n = 4*4
n = 16
Answer:
So do this,
Step-by-step explanation:
stand up and go ask your mom!
How to solve
2(-3x + 4) = 5x + 2
Answer:
x = 6/11
Step-by-step explanation:
2(-3x + 4 ) = 5x + 2
-6x + 8 = 5x + 2
- 2 - 2
-6x + 6 = 5x
+6x +6x
6 = 11x
/11 /11
6/11 = x
3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20
Answer:
The expected value of lateness [tex]\frac{7}{20}[/tex] hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
Compute the expected value of lateness as follows:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
[tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]
Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.
An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.
Expected value of lateness is [tex]\frac{7}{20}[/tex] hours.
Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.
So, below a table is formed.
x 0 1 2 3
P(x) 4/5 1/10 1/20 1/20
From formula of expected value,
E(x) = ∑ x P(x)
[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]
So, expected value of lateness is 7/20 hours.
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Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1
Step-by-step explanation:
4x^2+2x-5
4(-1)^2+2(-1)-5
4-2-5
2-5= -3
Help plsssssssssssssssssssssss thanks so much
Answer:
Amelie drove 3/4 mile.She then drove another 8/9 mile. How many miles did she drive in all?
Step-by-step explanation:
What are the slope and y-intercept
Answer:
Slope= -1/2 ; y-inter = 0
Step-by-step explanation:
Sarah joined an online music store. She wants to spend no more than $75 at the music
store. The cost of her yearly membership is $15.99 and the price to download a song
$0.79. What number of songs can Sarah download and stay within her budget.
Answer:
sarah can buy 88 songs
Step-by-step explanation:
filler fbjebdjsndjen
Answer:
sarah has to give her 15.99 from 75 after that she will be left with 59.01 and with that she can buy 74 songs
What type of triangle can have one right angle?
Answer:
A right triangle and an isosceles
Step-by-step explanation:
1/x+x/2=11/6 transformable to quadratic equations
Note: Consider we need to find the solution of given equation.
Given:
The equation is
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
To find:
The solution of the equation.
Solution:
We have,
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]
By cross multiplication, we get
[tex]6(2+x^2)=11(2x)[/tex]
[tex]12+6x^2=22x[/tex]
[tex]6x^2-22x+12=0[/tex]
[tex]2(3x^2-11x+6)=0[/tex]
Divide both sides by 2.
[tex]3x^2-11x+6=0[/tex]
Splitting the middle term, we get
[tex]3x^2-9x-2x+6=0[/tex]
[tex]3x(x-3)-2(x-3)=0[/tex]
[tex](x-3)(3x-2)=0[/tex]
Using zero product property, we get
[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]
[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]
Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].
Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).
Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
We are given the algebraic equation: 1/x+x/2=11/6
Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.
LCD(x,2,6) = 6x
Multiply all through the fractions by 6x
(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)
6 + 3x² = 11x
Rewriting the equation:
3x² - 11x + 6 = 0
Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
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What are the four kinds of parabolas
Answer: Focus, Vertex, Axis, and Directrix.
Step-by-step explanation:
Inez says you can plot 40 on a number line, but Jeremiah says you cannot. Who is correct?
Use the drop-down menus to explain your answer.
Answer:
I am correct
Step-by-step explanation:
⊕
what is the solution for a.
ab+c=d
Answer:
The second option
Step-by-step explanation:
Do you guys know what is after you become an expert??
Answer:
Ace is the next level after expert.
HURRY !!!!
i need help with this question
2/5x+1/4x=39
what is x
Answer:
x is equal to 60
Answer:
x= 700 /13
Step-by-step explanation:
a single serving of a cereal breakfast contains 18 grams of carbohydrates. this is 6% of the daily recommended allowance for 2000-calorie diet. how many grams of carbohydrates are recommended each day for a person on 2000 calorie diet.
Answer:
300g
Step-by-step explanation:
Given parameters:
Mass of carbohydrate in the cereal meal = 18g
Unknown:
Grams of carbohydrate recommended each day = ?
Solution:
The 18grams of the carbohydrate is just 6% of the total carbohydrate need per day;
6% x total carbohydrate recommendation = 18
[tex]\frac{6}{100}[/tex] x total carbohydrate = 18
Total carbohydrate = 18 x [tex]\frac{100}{6}[/tex] = 300g
Answer:
The answer is 300 grams of carbs on a 2000-calorie diet!
Step-by-step explanation:
Mass = 18g
daily allowance: ???
6% x total carbohydrate recommendation = 18
x total carbohydrate = 18
Total carbohydrate = 18 x = 300g on a 2000-calorie diet
Please help....... thanks
Answer:
7 weeks
Step-by-step explanation:
49 divided by 7 is 7
please help it's due right now
Answer:
it should be 30 gallons
Step-by-step explanation:
Assume a significance level of α=0.05 and use the given information to complete parts (a) and (b) below.
Original claim: Less than 51% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.0148
a. State a conclusion about the null hypothesis. (Reject Upper H0 or fail to reject Upper H0
Choose the correct answer below.
A.Reject Upper H0 because the P-value is less than or equal to to α.
B. Reject Upper H0 because the P-value is greater than α.
C. Fail to reject Upper H0 because the P-value is greater than α.
D. Fail to reject Upper H0 because the P-value is less than or equal to α.
b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?
A. The percentage of adults that would erase all of their personal information online if they could is less than or equal to 51%.
B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
C. The percentage of adults that would erase all of their personal information online if they could is more than 51%.
D. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
Answer:
A.Reject Upper H0 because the P-value is less than or equal to to α.
B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
Step-by-step explanation:
Given the claim :
Less than 51% will erase their personal information :
We take this as the null ;
H0 < 0.51 ;
Alternative hypothesis which is the opposite of the Null
H1 > 0.51
P value = 0.0148
α = 0.05
At α = 0.05 ; if p value is less than α ; reject the the Null
If p value is greater than Null ; then we fail to reject the Null
Pvalue < α
The P value is less than 0.05; then we reject the Null
B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%
Which statement describes the expression 9(8 + 25)?
1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s
Answer:
2
Step-by-step explanation:
ez any thing else just hit me up of so
Gawain sa Pagkatuto Bilang 2: Pagsunod-sunurin ang mga
pangkat. Isulat ang letra ng tamang sagot,
1. A.
B.
C.
Malaki - Paliit
Maliit → Palaki
C.
2.
A.
B.
Malaki → Paliit
Maliit > Palaki
3.
C.
A.
B.
WA
Malaki > Paliit
Maliit -> Palaki
Answer:
What is this about?
Step-by-step explanation:
What topic?
9. For the given circle, find the value of x and y.
Answer:
answer
Step-by-step explanation:
x=0 with both
Please help me...I need to turn this in PLZZZZ!!!!!!
Answer:
i believe its C
Step-by-step explanation:
Answer:
52 degree angle
pls help!!!! ahhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
1:2
Step-by-step 1:2explanation:
it doesnt say anything about colors. so how many dots? how many stripes? 2 and 4. Ratio: 2:4. Ratios can be fractions: 2/4. What does 2/4 simplify to? 1/2 That means for every 1 dot rectangle there are 2 stripe rectangle. Ratio : 1:2 or 1 to 2 or 1/2
TRUE OR FALSE?!?!?!!??!?!?!
Answer:
False
Step-by-step explanation:
Cause the graphs show false instead of being true
Describe the steps you would use to solve the equation 5( 2a - 3 ) = 20 + a.
PLEEEEASE HELP ME AND ILL MARK YOU BRAINLIEST
Answer:
Distribute the 5 to get 10a-15=20+a and solve