The expression 3/16 of 200 expression as a percentage is; 6.25%.
What is the value of 3/16 of 200 written as a percentage?The value of the expression given in the task content can be evaluated as follows;
3/16 × 200 = 12.5
Hence, the value 12.5 expressed as a percentage of 200 is;
(12.5/200) × 100%.
= 6.25%.
Read more on percentages;
https://brainly.com/question/16865197
#SPJ1
A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches. If one item is chosen at random, what is the probability that it is less than 11.9 inches long? Round your answer to 4 decimal places.
The probability that it is less than 11.9 inches long will be 0.11304.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.
If one item is chosen at random.
Then the probability that it is less than 11.9 inches long will be
Then the z-score will be
z = (11.9 – 14.2) / 1.9
z = –1.21
Then the probability will be
P(x < 11.9) = P(z < –1.21)
P(x < 11.9) = 0.11304
More about the z-score link is given below.
https://brainly.com/question/15016913
#SPJ1
Bailand Company purchased a building for $148,000 that had an estimated residual value of $8,000 and an estimated service life of 10 years. Bailand purchased the building 4 years ago and has used straight-line depreciation. At the beginning of the fifth year (before it records depreciation expense for the year), the following independent situations occur:
The journal entries relating to the building for the fifth year is: Debit Depreciation expense $10,500; Credit To accumulated depreciation $10,500.
Journal entriesBailand Company
1. Dec 31
Debit Depreciation expense $10,500
Credit Accumulated depreciation $10,500
(Being the depreciation expense recorded)
Book value=$148,000-($148,000-$8,000/10×4)]
Book value=$148,000-$56,000
Book value=$92,000
Depreciation=$92,000-$8,000/8
Depreciation=$10,500
2. Dec 31
Debit Depreciation expense $24,000.00
Credit Accumulated depreciation a/c $24,000.00
[($92,000-$8,000)×6/21]
(Being the depreciation expense recorded)
3. Dec 31
Debit Accumulated depreciation $3,200.00
[($8,000×4)/10]
Credit Retained earnings $3,200.00
(Being prior year adjustment for depreciation expense)
Dec 31
Debit Depreciation expense $10,000.00
Credit Accumulated depreciation $10,000.00
[($148,000-$8,000)/10]
(Being the depreciation expense recorded)
Therefore the journal entries relating to the building for the fifth year is: Debit Depreciation expense $10,500; Credit To accumulated depreciation $10,500.
The complete question is:
Bailand Company purchased a building for $148,000 that had an estimated residual value of $8,000 and an estimated service life of 10 years. Bailand purchased the building 4 years ago and has used straight-line depreciation. At the beginning of the fifth year (before it records depreciation expense for the year), the following independent situations occur:
1. Bailand estimates that the asset has 8 years’ life remaining (for a total of 12 years).
2. Bailand changes to the sum-of-the-years’-digits method.
3. Bailand discovers that the estimated residual value has been ignored in the computation of depreciation expense.
Required: For each of the independent situations, prepare all the journal entries relating to the building for the fifth year. Ignore income taxes.
Learn more about Journal entries here:https://brainly.com/question/14279491
#SPJ1
HELP ASAP
What is the perimeter of rectangle MNOP, rounded to the nearest tenth of a meter?
M
60°
N
O
O
28 m
79.2 m
67.6 m
88.1 m
76.5 m
30°
Answer: 76.5 meters
Step-by-step explanation:
To find the side lengths you use trig ratios for 30,60,90 triangles. The ratio is n (attached to the opposite side of the 30-degree angle, or the smallest leg), n[tex]\sqrt{3}[/tex] (attached to the opposite side of the 60-degree angle, or the longest leg), 2n (attached to the hypotenuse). Using the inner triangle you can use 2n=28 to find the side opposite the 30-degree angle, 14. Then you plug 14 into every n and add the sides. the full answer is 76.4974226 but this problem said to round making your final answer 76.5 meters. always remember to give proper units.
If $1 in U.S. Dollars is equivalent to 0.1273 Chinese yuan, convert 13,000 to yuan.
Answer:
1654.9
Step-by-step explanation
1/0.1273 = 13000/x
x=1654.9
[19. Solve the given radical equation: √3x +31= x+7.
Step-by-step explanation:
√3x+31=x+7
√3x=+7-31
DBS by√3
√3x/√3=7-31/√3
x=−12.12435565298
x=12.1
In the figure, two poles are 25 m and 30 m high. A cable 16 m long joins the tops of the poles. Find the distance between the poles. HELP PLEASE.
Answer:
The distance between the poles is approximately 15.2 m.
Step-by-step explanation:
GivenTwo poles of 25 m and 30 m height,Distance between tops of the poles is 16 m.To findThe distance between the polesSolutionThe distance between the poles is the segment d which connects the top of the shorter pole with the point at 5 m from the top of the longer pole, which is the difference of lengths of poles.
The three points form a right triangle, with hypotenuse of 16 m, and legs 5 m and d.
Use Pythagorean to find the value of d:
[tex]d=\sqrt{16^2-5^2} =\sqrt{256-25} =\sqrt{231} =15.2[/tex] m (rounded)What are the solutions to the equation? 5x² + 20x = 9 Complete the square to solve. 2145 5 -2 √145 5 0-2± 0-4± -4 29 5 145 5
Answer: [tex]x=-2 \pm \sqrt{29/5}[/tex]
Step-by-step explanation:
[tex]5x^2 + 20x=9\\\\5(x^2 + 4x)=9\\\\5\left((x+2)^2 -4 \right)=9\\\\5(x+2)^2 - 20=9\\\\5(x+2)^2 = 29\\\\(x+2)^2 = \frac{29}{5}\\\\x+2 =\pm \sqrt{29/5}\\\\x=-2 \pm \sqrt{29/5}[/tex]
Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are
common catches. The mean length of a bluefish is 267 millimeters with a standard deviation of
39 mm. For pompano, the mean is 155 mm with a standard deviation of 28 mm.
Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.
Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:
[tex]X = 322, \mu = 267, \sigma = 39[/tex]
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{322 - 267}{39}[/tex]
Z = 1.41
Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:
[tex]X = 176, \mu = 155, \sigma = 28[/tex]
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{176 - 155}{28}[/tex]
Z = 0.75.
Hence Stewart caught the longer fish relative to the same specie.
More can be learned about the normal distribution at https://brainly.com/question/4079902
#SPJ1
Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary. show work
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
System of equationsGiven the following function
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The point of intersection is the point where f(x) = g(x)
x^3 - 5x^2 + 3 = - 0.5x + 2
x^3 - 5x^2 + 3 + 0.5x - 2 = 0
x^3 - 5x^2 + 0.5x + 1 = 0
Factorize and determine the value of x
x = 0.53 and 4.85
If x = 0.53
f(0.53) = -0.5(0.53) + 2
f(0.53) = -0.265 + 2
f(0.53) = 1.375
If x = 4.85
f(4.85) = -0.5(4.85) + 2
f(4.85) = -2.425 + 2
f(4.85) = -0.245
Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
Learn more on functions here: https://brainly.com/question/10439235
#SPJ1
Simplify each expression by combining like terms
-5(n-5)+3(n+1)
Answer:
-2n + 28
Step-by-step explanation:
-5(n-5) + 3(n+1)
Let's distribute!
-5n + 25 + 3n + 3
Now we can add the like terms (n's with n's and numbers with numbers)
-2n + 28
Answer: -2n+28
Step-by-step explanation:
We can use the distributive property to solve this problem.
-5n+25+3n+3
-2n+28
will give brainliest
Answer:
f(x) = x^(1/2) + 3
Step-by-step explanation:
Translating to the right 3 units would change these:
0^(1/2) = 0 /// 3 units to the right would be (0,3)
1^(1/2) = 1 //// 3 units to the right would be (1,4)
4^(1/2) = 2 //// 3 units to the right would be (4,5) etc
1/2oz 3x day for 7 days how many doses will a patient use
The amount of dose is 10.5oz
How to determine the dose?The dosage is given as:
1/2oz 3x day for 7 days
This means that:
The patient will use 1/2 oz 3 times daily for 7 days
So, the dose is
Dose = 1/2 oz * 3 * 7
Evaluate the product
Dose = 10.5oz
Hence, the amount of dose is 10.5oz
Read more about products at:
https://brainly.com/question/10873737
#SPJ1
1) (b + a) = 4; use a = 1 and b = 3
2) c(b + b); use b = 1 and c = 5
3) 4+ pm; use m = 4 and p =3
4) 5+ pm; use m = 4 and p = 2
5) m(p + 2); use m = 5 and p = 2
6) h+j²; use h = 1 and j = 4
7) y-(x - 5); use x = 5 and y = 6
8) 4xy; use x = 5 and y = 2
9) n(p + 3); use n = 2 and p = 2
10) y +x+x; use x = 3 and y=5
11) 6+ a-b; use a = 4 and b = 4
The equations will be solved by putting the values of the variables in the bracket.
How to calculate the values?1. (b + a) = 4; use a = 1 and b = 3
( 1 + 3) = 4
2) c(b + b); use b = 1 and c = 5
5(1 + 1)
= 5 × 2 = 10
3) 4+ pm; use m = 4 and p =3
= 4 + (4 × 3)
= 4 + 12
= 16
4) 5+ pm; use m = 4 and p = 2
= 5 + (2 × 4)
= 5 + 8
= 13
5) m(p + 2); use m = 5 and p = 2
= 5(2 + 2)
= 5 × 4
= 20
6) h+j²; use h = 1 and j = 4
= 1 + 4²
= 17
7) y-(x - 5); use x = 5 and y = 6
= 6 - (5 - 5)
= 6 - 0
= 6
8) 4xy; use x = 5 and y = 2
= 4 × 5 × 2
= 40
9) n(p + 3); use n = 2 and p = 2
= 2(2 + 3)
= 10
10) y +x+x; use x = 3 and y=5
= 5 + 3 + 3
= 11
11) 6+ a-b; use a = 4 and b = 4
= 6 + 4 - 4
= 6
Learn more about equations on:
brainly.com/question/297832
#SPJ1
A desk is on sale for $123.20, which is 72% less than the regular price.
What is the regular price?
Answer:
170.833
Step-by-step explanation:
we have to find real value which has to be find.
let take it as x,
in the question they said reduction percentage is equal to $123
then x*72/100=$123
x=$123*100/72
x=12300/72
x=170.8333
Answer:
I believe it's 211.90$.
Hay 20% mas duendes que magos en el club de magia. Hay 120 duendes en el club de magia.
¿Cuántos magos hay en el club de magia?
Answer:
Hay 600 en el club de magia.
a) 11 pounds, 8 pounds
O Like terms
11 pounds - 8 pounds =
O Not like terms
Answer:
Like terms
Step-by-step explanation:
Both terms have the same unit, which is pounds.
Which list shows all the factors of 24?
A. 1, 2, 3, 4, 6, 8, 12, 24
B. 1, 2, 3, 4, 6, 12, 24
C. 1, 2, 4, 5, 6, 12, 24
D. 1, 2, 4, 6, 12, 24
Answer:
A. 1, 2, 3, 4, 6, 8, 12, 24
Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.What is the range of these weights?
79 g
88 g
116 g
109 g
93 g
Answer:
[tex]\huge\boxed{\sf 37 }[/tex]
Step-by-step explanation:
Highest weight = 116 g
Lowest weight = 79 g
Range:= Highest weight - lowest weight= 116 g - 79 g
= 37
[tex]\rule[225]{225}{2}[/tex]
0.3(8-2x) - 1.2(2-3x) < -21
Answer:
x=-7
Step-by-step explanation:
0.3(8-2x) - 1.2(2-3x) < -21
2.4 - 0.6x - 2.4 + 3.6x < -21
3x < -21
x < -7
Calculate the area of this triangle.
[tex] [/tex]
Answer: 30
Step-by-step explanation: Formula for Area of a triangle = 1/2 Base * Height. 12*5 = 60; 60/2 = 30.
Answer:
30 cm squared
Step-by-step explanation:
This is a right angle triangle. That means that the base and height will just be the perpendicular sides of the triangle.
Our base in this case is 12 and our height is 5.
Area of a Triangle = 1/2(base)(height)
=1/2(12)(5)
=1/2(60)
=30
So, the area of this triangle is 30 cm squared.
Solve for x 3x – 2(3x – 2) = 2(4 – x) + 3
Answer:
x = -7Step-by-step explanation:
First, lets open up the parentheses.
3x - 6x + 4 = 8 - 2x + 3
Combine like terms.
-3x + 4 = 11 - 2x
Add 2x to both sides
-x + 4 = 11
Subtract 4 from both sides
-x + 4 -4 = 11 -4
Simplify
-x = 7
Divide both sides by -1
x = -7
Hope this helps! (:
Answer:
x = -7
Step-by-step explanation:
3x – 2(3x – 2) = 2(4 – x) + 3
The first step is to distribute when solving for x
3x – 6x +4 = 8 – 2x + 3
Then combine like terms
-3x+4=-2x+11
Add 3x to each side
-3x+3x+4=-2x+3x+11
4 = x+11
Subtract 11 from each side
4-11 = x+11-11
-7 = x
Really confused don’t understand please help me
Answer:
62cm²Step-by-step explanation:
Surface Area Formula
SA = 2lw + 2lh + 2hw
2 * 2 * 5 + 2 * 2 * 3 + 2 * 3 * 5 =
62cm²
Wxyz is a dilation image of wxyz. Wich is the correct description of the dilation?
Please can you help me
Answer:
92.16Step-by-step explanation:
(-41.8 + 32.2)² =
(-9.6)² =
92.16
Answer:
92.16
Step-by-step explanation:
solving the brackets first, -41..8 + 32..2 equals -9.6 in total. The bracket has a square around it so our answer would be the square of wat ever we get in the bracket meaning (-9.6)^2 which gives us 92.16
Daniel wrote the following two-column proof for the given information.
The information given about the proof does that Daniel made an error on line 2.
How to illustrate the information?Given:
1. AB = 3x +2; BC = 4x + 8; AC = 38
2. AB + BC = AC incorrect (not an angle angle addition postulate)
3. 3x+2 + 4x + 8 = 38 correct
4. 7x + 10 = 38 correct
5. 7x = 28 correct
6. x = 4
Daniel made an error on line 2.
Here is the complete question:
Daniel wrote the following two-column proof for the given information. Given: AB = 3x + 2; BC = 4x + 8; AC = 38 Prove: x = 4 Statements Reason 1. AB = 3x + 2; BC = 4x + 8; AC = 38 1. Given 2. AB + BC = AC 2. Angle Addition Postulate 3. 3x + 2 + 4x + 8 = 38 3. Substitution Property of Equality 4. 7x + 10 = 38 4. Combining Like Terms 5. 7x = 28 5. Subtraction Property of Equality 6. x = 4 6. Division Property of Equality On which line, did Daniel make his error? line 2 line 3 line 4 line 5
Learn more about proof on:
https://brainly.com/question/4134755
#SPJ1
Solve 2w2 + 12w + 10 = 0 by completing the square
A)
w = –15, w = 5
B)
w = –5, w = –1
C)
w = –5, w = 1
D)
w = 5, w = 1
The value of w is -1 and -5.
The correct option is (B)
What is equation?
A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Given:
2w² + 12w + 10 = 0
First, divide through by 2
2w²/2 + 12w /2 + 10/2 =0/2
w² + 6w + 5 = 0
now, Take half of the w term and add - subtract the square of it
w² + 6w + 5 + 3² - 3² = 0
w² + 2*3w + 3² + 5 - 9 = 0
(w+3)² = 4
w+3 = ±2
w = +2 - 3, -2-2
w= -1 and -5.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ1
Calculate, to four decimal places, the first ten terms of the sequence. an = 1 +(−4/9)^n
The first ten terms of the sequence [tex]a_n=1 + (-\frac{4}{9} )^n[/tex] is 0.5556, 1.1975, 0.9122, 1.039, 0.9827, 1.0077, 0.9966, 1.0015, 0.9993 and 1.0003
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that:
[tex]a_n=1 + (-\frac{4}{9} )^n\\\\When\ n=1:a_1=1 + (-\frac{4}{9} )^1=0.5556\\\\When\ n=2:a_2=1 + (-\frac{4}{9} )^2=1.1975\\\\When\ n=3:a_3=1 + (-\frac{4}{9} )^3=0.9122\\\\When\ n=4:a_4=1 + (-\frac{4}{9} )^4=1.039\\\\When\ n=5:a_5=1 + (-\frac{4}{9} )^5=0.9827\\\\When\ n=6:a_6=1 + (-\frac{4}{9} )^6=1.0077\\\\When\ n=7:a_7=1 + (-\frac{4}{9} )^7=0.9966\\\\When\ n=8:a_8=1 + (-\frac{4}{9} )^8=1.0015\\\\When\ n=9:a_9=1 + (-\frac{4}{9} )^9=0.9993\\\\[/tex]
[tex]When\ n=10:a_{10}=1 + (-\frac{4}{9} )^{10}=1.0003\\[/tex]
The first ten terms of the sequence [tex]a_n=1 + (-\frac{4}{9} )^n[/tex] is 0.5556, 1.1975, 0.9122, 1.039, 0.9827, 1.0077, 0.9966, 1.0015, 0.9993 and 1.0003
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
(-a, 0)
(0, b)
(0,0)
(0,-b)
What is the perimeter of the polygon in the diagram?
(a,0)
Solve for ×:
X/5+3y=-7
find the volume, show solution pls
The volume of the square prism shown is 1568 cubic meters
Volume of square prismThe formula for calculating the volume of square prism is expressed as;
V = Base area * height/3
Determine the base are
B = 14 * 14
B = 196 square meters
Determine the height
h = √25² - 7²
h = √625 - 49
h = 24m
Substitute
Volume = 196. * 24/3
Volume = 196 * 8
Volume = 1568 cubic meters
Hence the volume of the square prism shown is 1568 cubic meters
Learn more on volume of prism here; https://brainly.com/question/23963432
#SPJ1