Answer:
290
Step-by-step explanation:
To solve this problem you multiply 29 by 100 and then divide the total by 10 as follows:
(29 x 100) / 10
Therefore, you can derive that 10 percent of 290 equals 29.
Note that the answer provided is rounded to the nearest two decimals if necessary.
A sum amount
to rupees 34476 in two and a half years at 4% CI. the sum is
Given:
Amount = Rs. 34476
Rate of compound interest = 4%
Time = [tex]2\dfrac{1}{2}=2.5[/tex] years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is principal value, r is rate of interest and t is time in years.
Putting the given values, we get
[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]
[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]
[tex]34476=P\left(1.04\right)^{2.5}[/tex]
[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]
Now,
[tex]P=31256.0090[/tex]
[tex]P\approx 31256[/tex]
Therefore, the value of sum or principal value is Rs.31256.
PLEASE HELP!
A rectangular field is 62 meters long and 48 meters wide. Diane estimates the length of the field
to be 60 meters and the width to be 45 meters. What is the percent error of Diane's estimated
area measurement? Round your answer to the nearest whole percent.
Enter your answer in the space provided.
Answer:
9%
Step-by-step explanation:
Original area of the rectangle = length × width
= 62 × 48
= 2,976 m²
Diane area of the rectangle = length × width
= 60 × 45
= 2700 m²
Percent error = (original - estimated)/original × 100
= (2976 - 2700)/2976 × 100
= 276/2,976 × 100
= 0.0927419354838 × 100
= 9.2741935483870%
Approximately to the nearest whole percent = 9%
In parts (a)−(d) below, either use the information given to determine the distribution of the random variable, or show that the information given is not sufficient by describing at least two different random variables that satisfy the given condition. (a) X is a random variable such that MX(t) = e 6t 2 when |t| < 2. (b) Y is a random variable such that MY (t) = 2 2−t for t < 0.5. (c) Z is a random variable such that MZ(t) = [infinity] for t ≥ 5. (d) W is a random variable such that MW (2)
Answer:
a.) X ≈ N (0, 12)
b.) Y ≈ exp(2)
c.) The given distribution is not defined.
d.) Not a standard form of any distribution .
Step-by-step explanation:
Given - In parts (a)−(d) below, either use the information given to determine
the distribution of the random variable, or show that the information
given is not sufficient by describing at least two different random
variables that satisfy the given condition.
To find - (a) X is a random variable such that Mₓ(t) = [tex]e^{6t^{2} }[/tex] when |t| < 2.
(b) Y is a random variable such that [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.
(c) Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.
(d) W is a random variable such that [tex]M_{W}[/tex](2) = 2
Proof -
a.)
As we know that the moment generating function of normal distribution is given by
Mₓ(t) = [tex]e^{ut + \frac{1}{2}t^{2} \sigma^{2}}[/tex]
Now,
Mₓ(t) = [tex]e^{6t^{2} }[/tex]
= [tex]e^{0(t) + \frac{12}{2} t^{2} }[/tex]
⇒μ = 0, σ = 12
Nd it is represented by
X ≈ N (0, 12)
b.)
Moment generating function of exponential function is given by
[tex]M_{Y}[/tex](t) = [tex]( 1 - \frac{t}{\theta})^{-1}[/tex]
Now,
[tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.
= [tex]\frac{1}{\frac{2 - t}{2} }[/tex]
= [tex]\frac{1}{1 - \frac{t}{2} }[/tex]
= [tex]( 1 - \frac{t}{2} )^{-1}[/tex]
And it is represented by
Y ≈ exp(2)
c.)
Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.
The given distribution is undefined.
d.)
[tex]M_{W}[/tex](2) = E([tex]e^{2w}[/tex] )
= [tex]\int\limits^{-\infty}_{\infty} {e^{2w} f(w) } \, dw[/tex]
= 2
It is not the standard form of any distribution.
(10 − 343) − 2 × 6 simplify the operation using the order of operations
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{\bf{{(10-343)-2\times6}}}\\\bold{Do\ PEMDAS}\\\bold{PEMDAS\ is....}\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex][tex]\\\bold{Do\ PEMDAS}\\\\\bold{PEMDAS\ is....\downarrow}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex]
[tex]\large\text{\bf{(10 - 343) - 2 * 6}}\\\large\text{\bf{10 - 343 = -333}}\\\large\text{\bf{(-333) - 2 * 6}}\\\large\text{\bf{2 * 6 = 12}}\\\large\text{\bf{(-333) - 12 = -345}}\\\boxed{\boxed{\large\text{\bf{Answer: -345}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
3,012 divided by 7 long division
Answer:
430.2857...
Step-by-step explanation:
Answer:
[tex]3.012[/tex] ÷ [tex]7[/tex] = 430.285
Expand and simplify the following
5(m – 8) - 4(m – 7)
Step-by-step explanation:
5(m – 8) - 4(m – 7)
5m-40-4m+28
m -12
Answer:
5(m - 8) - 4(m - 7)
= 5m - 40 - 4m +28
= m - 12
m = 12
hope it helps
What is the mean and range of 15 20 18 22 22 28 29
Answer:
Mean = 22
Range = 14
Step-by-step explanation:
pls give brainliest
Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.
A hot air balloon is at an altitude of
100 1/5 yards. The balloon's altitude decreases
by 10 4/5 yards every minute. Determine the
number of minutes it will take the balloon to reach an altitude of 57 yards.
Answer:
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Step-by-step explanation:
Initial altitude:
100 1/5 yards = 100 + 0.2 = 100.2 yards.
Decrease per minute:
10 4/5 yards = 10 + 0.8 = 10.8 yards.
So, after t minutes, the height of the ballon is given by:
[tex]h(t) = 100.2 - 10.8t[/tex]
Number of minutes it will take the balloon to reach an altitude of 57 yards.
This is t for which [tex]h(t) = 57[/tex]. So
[tex]h(t) = 100.2 - 10.8t[/tex]
[tex]57 = 100.2 - 10.8t[/tex]
[tex]10.8t = 43.2[/tex]
[tex]t = \frac{43.2}{10.8}[/tex]
[tex]t = 4[/tex]
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)
Answer: 1 hour 38 minutes
Step-by-step explanation:
From 11:51 AM to 12:00 PM (noon)
9 minutes
from 12:00 PM to 1:00 PM
1 hour
1:00 PM to 1:29 PM
29 minutes
______________________________
9 minutes + 1 hour + 29 minutes
1 hour 38 minutes
Is 4x-10y=2 equal to 4x-3y=0?
Answer:
No it is not
Step-by-step explanation:
Write the expression
a2b3c2d in expanded
form.
Answer:
a*2+b*2+c*2+d
Step-by-step explanation:
If i's meant to be Pythagorean theorem, a*a+b*b=c*c
A rectangle is inside a circle with a 5 cm radius.
What is the area of the shaded region?
Use 3.14 for π.
Enter your answer as a decimal
Answer:
Do it your self
Step-by-step explanation:
Gross
Answer:
30.5
Step-by-step explanation:
What is the solution to this system of equations? A.P.E.X btw
A) (4, -2)
B) (-2, 4)
C) (-1, 2)
D) (2, -1 )
The required solution to the system of equations is (x, y) = (-2, 4). Option B is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
To solve this system of equations, we can set the two expressions for y equal to each other, since they both represent the same value of y,
x + 6 = -0.5x + 3
Simplifying and solving for x, we get:
1.5x = -3
x = -2
Now that we have the value of x, we can substitute it into one of the original equations to find the value of y. Using the first equation, we have,
y = x + 6
y = -2 + 6
y = 4
Therefore, the solution to the system of equations is (x, y) = (-2, 4).
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
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HELLPPP NEED TO DO THIS BEFORE 7:00
Answer:
7
Step-by-step explanation:
it's just 4 2/3 divided by 2/3, right?
This figure is made up of a rectangle and parallelogram. What is the area of this figure.
Answer:
area of the parallelogram=6
area of the rectangle=20
total area=26 square units
Solve the inequality.
-3.25y <-61.75
Step-by-step explanation:
-3.25y < -61.75
-3.25y < -61.75
-3.25. -3.25
whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.
y > 19 , S.S= [ 20,21,22,23.....]
2/5× = ?
I don't understand how to answer this
Answer:
10
Step-by-step explanation:
2x5 is basically 1x5= 5x2=10
(giving brainiest)
A bottle holds 2 pints. A carton holds 3 cups. What is the total the two containers hold in fluid ounces?
A. 6 fluid ounces
B. 32 fluid ounces
C. 56 fluid ounces
D. 66 fluid ounces
Answer:
your answer is c (56 fluid ounces)
Step-by-step explanation:
In Mr. Richard's class, 5/8 of the students like
to bake. Of those students, one-half prefer to
bake cookies. What fraction of the students
prefer to bake cookies?
4 (k - 6) = 6 (-4 - 5k)
a) 10
b) 0
c) -2
d) 8
Step-by-step explanation:
step 1. what is the question? solve for k? okay.
step 2. 4(k - 6) = 6(-4 - 5k)
step 3. 4k - 24 = -24 - 30k
step 4. 34k = 0
step 5. k = 0.
The ratio of the measure of the three angles in a triangle is 3:10:7. Find the measures of the angles
Group of answer choices
30, 90, 60
27, 90, 63
45, 45, 90
9, 30, 21
Answer:
sum of all angle= 180 given angle = 3 X, 10 X AND 7 X
3X + 10X + 7X = 180
20X = 180
X= 180/20
X = 9
X= 9 IS apply to given angle 3X, 10 X , 7X
3X = 3 ×9=27
10X = 10 ×9 = 90
7X = 7 ×9 =63
ANS IS 27,90,63
Step-by-step explanation:
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals?
Answer:
16
every time you go up 10% there will be 2 added
2*8=16
Step-by-step explanation:
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
10% of a number is 2 less than 20% of the same number,
10% .x=20%x-2
Convert % to the decimal by diving with 100.
10/100x=20/100x-2
0.1x=0.2x-2
Subtract 0.1x on both sides
0=0.2x-0.1x-2
Add 2 on both sides
2=0.2x-0.1x
2=0.1x
Divide both sides by 0.1
20=x
Now we need to find 80% of 20.
80% of 20
80/100×20
0.8×20
16
Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
To learn more on Percentage click:
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Find the total of a
1560 meal with 15%
tip and 8% tax.
Simplify
3^-2 × -2^3
Answer:
[tex]\huge\boxed{\boxed{\color{silver} \sf- \frac{8}{9}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] {x}^{ - n} < = > \frac{1}{ {x}^{n} } [/tex]let's solve:[tex] {3}^{ - 2} \times { - 2}^{3} [/tex]
[tex] \frac{1}{ {3}^{2} } \times - 2 \times - 2 \times - 2[/tex]
[tex] \frac{ 1}{9} \times - 8[/tex]
[tex] - \frac{8}{9} [/tex]
Step-by-step explanation:
3^-2 × -2^3
1/3²×-2³
1/9×-8
-8/9
Please help meeeeee!
Answer:
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Stay safe! This is a scary situation! Avoid at all costs! It's on the news! SPAM THIS INSTEAD OF DOGE AND BOB! ALSO AT THE END IF YOU WOULD LIKE TO JOIN THE Threat Protection and Gossip Group just say 123 at the end of your response! SPREAD THIS EVERYWHERE! THIS IS NOT A JOKE OR PRANK STAY SAFE AT ALL COSTS DO NOT OPEN IT! 123
Step-by-step explanation:
what are the coordinates of the endpoints A'B after a reflection of segment AB over the line y = - x?
A' (-6,1)
A' (1,-6)
A'(-1,6)
B'(4,2)
B'(-4,-2)
Answer:
by reflection, if you mean swapped, then the answers are A'(1,-6) and B'(4,2)
i hope these are the answers you are looking for
Step-by-step explanation:
SOLVEEEEEE XXXXXXXxx
Answer:
25 degrees
Step-by-step explanation:
The total angle sum of a triangle is 180 degrees
since the two sides are equal...
(x) + (x) + (4x + 30) = 6x + 30 = 180
==> x = 25 degrees
I need help with problem 8
Answer:
True
Step-by-step explanation:
Because the angle with positive side of x axis is obtuse angle??
The length of Juan’s math book is 10.5 inches. What is the approximate length of her book in centimeters?
Answer:
27 cm
Step-by-step explanation: