Answer:
(m + 3)/(3 m + 1)
Step-by-step explanation:
[tex]\frac{2( \frac{m + 1}{m - 1}) - 1 }{2( \frac{m + 1}{m - 1}) + 1}[/tex]
[tex]\frac{ \frac{2(m + 1)}{(m - 1)} - 1}{ \frac{2(m + 1)}{(m - 1)} + 1}[/tex]
[tex] \frac{ \frac{2( m+ 1) - (m - 1)}{( m- 1)} }{ \frac{2( m+ 1) + (m - 1)}{( m- 1)}} [/tex]
[tex] \frac{ \frac{2m+2-m+1}{( m- 1)} }{ \frac{2m+2+m-1}{( m- 1)}} [/tex]
Denominator cancel each other
then
[tex] \frac{2m+2-m+1}{2m+2+m-1} [/tex]
[tex] \frac{m+3}{3m+1} [/tex]
A country's education department reported that in 2015, 70.8% of students enrolled in college or a trade school within 12 months of graduating high school. In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school. Complete parts a through c. a. Construct a 90% confidence interval to estimate the actual proportion of students enrolled in college or a trade school within 12 months of graduating from high school in 2017. and an upper limit of The confidence interval has a lower limit of (Round to three decimal places as needed.) ما
Answer:
The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school.
This means that [tex]n = 154, \pi = \frac{94}{154} = 0.6104[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 - 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.546[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 + 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.675[/tex]
The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.
A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centimeters will it take to fill the bowl
Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;
[tex]V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3[/tex]
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
If the price of ice cream changes by 30 percent and the quantity demanded changes by 75 percent, what is the absolute value of demand elasticity?
5. In the figure Find X (In the picture) (giving points to best answer/brainlest)
Answer:
x = 93
Step-by-step explanation:
*for angle labels, see picture below
Using angle addition postulate, we can say that angle EAC is the sum of angle CAB and angle BAE:
m<EAC = m<CAB + m<BAE
m<EAC = x + 39
Since line l and m are parallel, you can say that angle ACD is an alternate interior angle to angle EAC. This means they are equal.
Now, we can write an equation to solve for x:
m<EAC = m<ACD
x + 39 = 132
x = 93
Answer:
x=93°
Step-by-step explanation:
If l ıı m
l=180° ; 132°+?(y) =180° (Co-interior angle)
Find the value of y
132°+y=180°(Transpose)
y=180°-132°
y=48°
...
Find x
39°+x+48°=180°(Transpose)
x=180°-48°-39°
x=93°
Find the exact value of the following.
Find -xy, for x = -75.9 and y = 2.6.
-xy =
Answer:
197.34
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x = -75.9
y = 2.6
-xy
Step 2: Evaluate
Substitute in variables: -(-75.9)(2.6)Multiply: (75.9)(2.6)Multiply: 197.34if arc QR=3x+38 degrees , arc PS=5x-10 degrees ,and
Answer:
Arc QR = 111.5°
Step-by-step explanation:
Given:
Arc QR = (3x + 38)°
Arc PS = (5x - 10)°
m<QMP = 68°
Required:
Measure of arc QR
Solution:
Recall: Angles of intersecting chords theorem states that the angle formed equals half of the sum of the intercepted arcs
This by implication means:
m<1 = ½(arc QR + arc PS)
We are given arc QR, and arc PS.
m<1 = 180° - m<QMP (angles on a straight line)
m<1 = 180° - 68°
m<1 = 112°
Plug in the values into the equation and solve for x
112° = ½(3x + 38 + 5x - 10)
Multiply both sides by 2
2*112 = 3x + 38 + 5x - 10
224 = 3x + 38 + 5x - 10
Add like terms
224 = 8x + 28
224 - 28 = 8x + 28 - 28
196 = 8x
196/8 = 8x/8
24.5 = x
x = 24.5
✅Let's find arc QR
Arc QR = (3x + 38)°
Plug in the value of x
Arc QR = 3(24.5) + 38 = 73.5 + 38
Arc QR = 111.5°
combine like terms to simplify the expression of -5.55-8.55c+4.35c
Answer:
-5.55-4.2c
Step-by-step explanation:
-5.55-8.55c+4.35c
-8.55c and 4.35c are like terms so you have to combine them.
-8.55c+4.35c=-4.2c
-5.55 is NOT a like term so it is on its own.
final answer -> -5.55-4.2c
*** don't forget -5.55 is negitive ***
hope this helped negative:)
what is the domain of the function in this table?
Answer:
there is no table appearing so unfortunately no one can answer this for you. sorry!!
What expression is not equivalent to 2/3 *4.
Answer:
Step-by-step explanation:
Any expression that says (2 * 4)/3 is correct, even though there is a shift in the brackets. That means that A, B, C are all the same thing, and all are correct.
Only D is lying.
2*(1/3) = 2/3
4*(1/3) = 4/3 Now we have to add them
2/3 + 4/3 = 6/3 = 2
To show what the real answer is, try A
2*4/3
8/3 is the actual answer.
A laptop company claims up to 8.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 7.5 hours and standard deviation 27 minutes. (a) What is the probability that the battery life is at least 8.1 hours
Answer:
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 7.5 hours
This means that [tex]\mu = 7.5[/tex]
Standard deviation 27 minutes.
An hour has 60 minutes, which means that [tex]\sigma = \frac{27}{60} = 0.45[/tex]
What is the probability that the battery life is at least 8.1 hours?
This is 1 subtracted by the p-value of Z when X = 8.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.1 - 7.5}{0.45}[/tex]
[tex]Z = 1.33[/tex]
[tex]Z = 1.33[/tex] has a p-value of 0.9082.
1 - 0.9082 = 0.0918
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?
Answer:
You didn't attach an image, can't exactly help. sorry!
Find the Value of x from the angles
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The value of [tex]x°[/tex].
[tex]\sf \bf {\boxed {\mathbb {SOLUTION :}}}[/tex]
[tex]\longrightarrow{\blue{ x°\:=\:35° }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ [tex]x°[/tex] + 125° + 20° = 180°
➪ [tex]x°[/tex] + 145° = 180°
➪ [tex]x°[/tex] = 180° - 145°
➪ [tex]x°[/tex] = 35°
Therefore, the value of [tex]x°[/tex] is 35°.
Now, the three angles of the triangle are 35°, 125° and 20°.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]
✒ 35° + 125° + 20° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
David and Peter had $90 and $200 respectively. They were each given an equal amount of money. Then Peter had twice as much money as David. How much money did each boy receive?
Find the radius of the circle whose equation is (x - 2)2 + (y - 4)2 = 9.
Hope this help!!!
Have a great day!!!
Which expression gives the distance between the points
(-3, 4) and (6,-2)?
O A. (-3 - 4) * +(6+2)
O B. (-3-6)* + (4 +2)
O c. +(-3-6)* +(4+2) ?
O D. (-3 - 4) * +(6+2)
Answer:
C. sqrt((-3-6)² + (4+2)²)
Step-by-step explanation:
as we are using Pythagoras and asking for the distance as a side length (actually the Hypotenuse, the side opposite of the 90 degree angle) in a right-angled triangle, only an expression of a square root of a sum of squares can be right.
so, A and B are automatically out without even further analysis.
for the distance between 2 points on a coordination grid we build the mentioned right-angled triangle with the difference in x-direction as one side (e.g. "a"), the difference in y-direction as a second side (e.g. "b").
and the direct distance is then the Hypotenuse "c".
you remember Pythagoras :
c² = a² + b²
and therefore
c = sqrt(a² + b²)
in our example "a" is the difference between the 2 x-values.
a = (-3 - 6)
and "b" is the difference between the 2 y-values.
b = (4 - -2) = (4 + 2)
since we have to square them for the formula, the direction of what is subtracted from what is irrelevant, as the square of a negative value is also positive.
c = sqrt((-3 - 6)² + (4 + 2)²)
and that is answer option C
PLEASE SHOW YOUR WORK !!
Answer:
30 % discount
Step-by-step explanation:
To find the percent discount
Original price minus new price
50 -35 = 15
Divide by original price
15/50 = .3
Change to percent form
.3 * 100 = 30 %
30 % discount
How much simple interest is due on a loan of $120
for two years if the annual rate of interest is 5.5%
?*
Answer:
$133.2
Step-by-step explanation:
[tex]\frac{120*2*5.5}{100\\}[/tex]=13.2
13.2+120
133.2
The simple interest of$13.2 is due on loan of $120 for two years with the annual rate of 5.5%.
What is simple interest?simple interest is the interest amount for a particular principal amount of money at some rate of interest.
Simple interest formulaS.I = (P × R × T)/100
Where,
S.I is simple interest
P is the Principal amount
R is the interest rate
T is time in years
According to the given question.
We have
Principal, P = $120
Interest rate, R = 5.5%
And time, T = 2 years
Therefore, the simple interest for two years for the amount $120 is given by
[tex]S.I = \frac{(120)(5.5)(2)}{100}[/tex]
⇒ [tex]S.I = \frac{1320}{100}[/tex]
⇒ S.I = $13.2
Hence, the simple interest of$13.2 is due on loan of $120 for two years with the annual rate of 5.5%.
Find out more information about simple interest here:
https://brainly.com/question/22621039
#SPJ3
Find the future value for a $100,000 investment for 12 years at a compounded continuously at 2.1%?
Answer:
128659.6037
Step-by-step explanation:
contiously compounding interest formula:
PV(e^(i*t))
100000e^(.021*12)=128659.6037
Fill in the blank with the correct fraction. Make sure to express your answer in its simplest, most reduced form.
Answer:
3/4
Step-by-step explanation:
as 1 hour is 60 minutes, to express in fraction form, we have to divide.
so
45/60 can be simplified to 3/ 4 when 15 is taken out as common of both. so the answer is 3/4
Answer:
3/4
Step-by-step explanation:
1 hour= 60 minutes
45/60
simplify the fraction by dividing the numerator and denominator by 5
45÷5=9 and 60÷5=12
new fraction =9/12
simplify 9/12 by dividing the numerator and denominator by 3
9÷3=3 and 12÷3=4
Ans.=3/4
45 minutes is 3/4 of an hour
Please can someone answer quickly
the place value of 4 in 56437 is:
Answer:
thousands
Step-by-step explanation:
56437
tents hundreds thousands
You earned $24 mowing lawns, which is 3/4 of the amount your
friend made washing cars. Write and solve an equation to find the
amount of money c your friend made for washing cars.
If your house was worth $250,000.00 and you had to pay 2% of that amount to the town for local property tax. How much tax would you have to pay?
Answer:
5000
Step-by-step explanation:
250,000 x .02 (2%)=5000
Plzz help find the value of angle MHA and MHT
Answer:
Step-by-step explanation:
2x+11+6x-7=180 (being linear pair)
8x+4=180
8x=180-4
8x=176
x=176/8
x=22
MHA=2x+11
=2*22+11
=44+11
55
MHT=6x-7
=6*22-7
=132-7
=125
=
Answer:
2X+11+6X-7 =180
8X+4 =180
8X. =180-4
8X. =176
X. =22
MHA=2X+11
=44+11
=55
MHT=6X-7
=132-7
=125
How do I calculate the probability of the next win for a team that won 12 out of 20 soccer games?
Answer:
3/5
Step-by-step explanation:
12/20 = 3/5
What is the value of log27 165
The solution of the logarithmic function log₂₇165 found using logarithmic properties is :
(1 + log ₃55)/3.
What is a logarithmic function?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. The usage of logarithmic functions makes it simple to determine some of the non-integral exponent values. The common logarithmic function, which has a base of 10, is identified by the symbols log₁₀ or log.
We are asked to solve the following logarithmic function.
log₂₇165
Here the base of the log is 27.
According to logarithmic properties, we can write the above functions as:
log₂₇165 = log 165 / log 27
If we are dividing the numerator and denominator by log 3, then the new base will become 3.
(log 165 / log 3) / (log 27/log3) = log ₃165 / log₃ 27
Now we can solve as follows,
log ₃165 / log₃ 27 = log ₃(3*55) / log₃ (3³) = [log ₃(3)+log ₃(55)] / 3log₃3
= (1 + log ₃55)/3
Therefore the solution of the logarithmic function log₂₇165 is
(1 + log ₃55)/3.
To learn more about logarithmic functions, follow the link.
https://brainly.com/question/13473114
#SPJ1
ow many three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters
Answer:
336
Step-by-step explanation:
A total of 512 possible words can be made.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a 8 letters word "FGHIJKLM"
Assume that there are [y] possible combinations. Then, the total number of [x] digit words that can be made are -
y = 8ˣ
y = 8ˣ
y = 8 x 8 x 8
y = 512
Therefore, a total of 512 possible words can be made.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
What steps do i have to take to get the proven
Answer:
I can't really see I wish I can help
suppose the linear regression line y= 3.009x - 77.131 predicts a pizza parlors profits based on the number of pizza sold if x represents the number of pizza sold, and y represents the pizza par;ors profits in dolloars about how much can the pizza parlor expect in profits if it sells 275 pizzas
Answer:
$750 dollars
Step-by-step explanation:
Y = 3.009(275) - 77.131
Y = 827.475-77.131
Y = 750.344
Find the inner product for (4,8) (6,-3) and state whether the vectors are perpendicular.
Answer:
[tex] = \binom{4}{8} . \binom{6}{ - 3} \\ = (4 \times 6) + (8 \times - 3) \\ 24 + ( - 24) \\ = 0 \\ since \: inner \: product \: is \: zero : \\ the \: vectors \: are \: perpendicular[/tex]
Answer:
0
The vectors are perpendicular
Step-by-step explanation:
(4,8) (6,-3)
The inner product is also known as the dot product
4*6 + 8*-3 = 24-24 = 0
The vectors are perpendicular since the dot product is zero
