What's the principal sum?
The principal sum refers to the amount payable in one sum in the case of accidental death and, in some cases, accidental dismemberment.
The amount paid in the case of accident or medical insurance in the event that the insured person dies, loses a limb, or loses sight is known to be as principal sum. It means that the principal sum amount is the maximum amount paid to the insured person for all injuries resulting from the accident.
Thus, the principal sum is the amount insured to be paid by the company to the beneficiary in the case of the insured individual's accidental death as well as in the loss of limb or sight.
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20% of____ is 15 ????
Answer:
The Correct Answer is 3
Step-by-step explanation:
What is the value of 5 2 10 4 2 5x5 6?
The simplification of the given expression is found as 2.
Explain the concept of the indices?We can determine how several times a phrase has already been multiplied in and of itself using an index, which is a tiny number.Indexes is the plural of index.The stated expression is-
= (5⁻² x 10⁻⁴) / (2⁻⁵ x 5⁻⁶)
Taking the reciprocal of the numbers.
= (2⁵ x 5⁶) / (5² x 10⁴)
Cancel the common power
= (2⁵ x 5⁴) / ( (2x5)⁴)
Expanding the power
= (2⁵ x 5⁴) / ( 2⁴ x 5⁴)
Again cancel the common power.
= 2
Thus, the simplification of the given expression is found as 2.
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The correct question is-
What is the value of (5⁻² x 10⁻⁴) / (2⁻⁵ x 5⁻⁶)?
The new aircraft model has a passenger section that is 100 feet long. Using appropriate variables, write an equation expressing the relationship between the number of rows of seats on the airplane and the seat pitch. Assume that the seatbacks in the last row are flush against the wall
Answer:
16x257
Step-by-step explanation:this eqals that and stuff
HELP PLEASE.
In.AA80 m24 = 10° and m28- 145°. Select the triangle that is similar to AABC. O A. AMNP, in which m_M= 145º and MzN= 15 O B. AXYZ, in which m2X= 10º and m2 7 = 25° O = C. AJKL, in which meJ= 10° and mL = 135 o D. APQR, in which m_P= 25° and MR = 135°
Answer:
B. ∆XYZ, in which m∠X = 10° and m∠Z = 25°
Step-by-step explanation:
∆ABC
m∠A = 10°
m∠B = 145°
m∠C = 180° - (m∠A + m∠B )
= 180° - (10° + 145°)
= 180° - 155°
m∠C = 25°
∆XYZ
m∠X = 10°
m∠Z = 25°
m∠Y = 180° - (m∠X + m∠Z)
= 180° - (10° + 25°)
= 180° - 35°
m∠Y = 145°
so,
m∠A = m∠X = 10°
m∠C = m∠Z = 25°
m∠B = m∠Y = 145°
I'm just ordinary human, CMIIW
you and a friend are riding your bikes to a restaurant that you think is east; your friend thinks the restaurant is north. you both leave from the same point, with you riding 12 mph east and your friend riding 8 mph north. after you have travelled 4 mi, at what rate is the distance between you and your friend changing?
The rate at which the distance is changing is calculated to be 14.42 miles per hour.
Consider the east direction to be denoted by x and the north direction to be denoted by y, therefore;
dx / dt = 12 mph
dy / dt = 8 mph
x is equal to 4 miles
Consider the distance between them to be s
Time taken by you to travel 4 miles = distance / speed
Time taken by you to travel 4 miles = 4/12 hour
Distance traveled by the friend in that time = speed × time
Distance traveled by the friend in that time = 8 × (4/12) = 2.67 miles
Now we use the Pythagorean theorem,
x^2 + y^2 + s^2 ...... (1)
Substitute, x = 4 miles and y = 2.67 miles
s^2 = 16 + 7.1289 = 23.1289
s = 4.81
Now differentiate equation 1 with respect to t as follows;
2x (dx/dt) + 2y (dy/dt) = 2s (ds/dt)
2(4) (12) + 2(2.67) (8) = 2 (4.81) (ds/dt)
96 + 42.72 = 9.62 (ds/dt)
138.72 = 9.62 (ds/dt)
ds/dt = 138.72/9.62 = 14.42 miles per hour
Thus the distance is changing at the rate of 14.42 miles per hour.
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In a recent year, an author wrote 177 checks. Use the Poisson distribution to find the probability that, on a randomly selected day, he wrote at least one check.
The probability that on a randomly selected day, he wrote at least one check is 0.3843
How to solve for the Poisson distributionA year is made up of 365 days
The number of checks written = 177
λ = 177 / 365
= 0.4849
P(x ≥ 1) = 1 - p(x < 1)
p(x < 1) is going to be 0
so we would have 1 - p(x = 0)
the Poisson distribution is given as
P = e^-λ (λκ) / κ!
This is written as
1 - e^-0.485 x 0.485⁰ / 0!
1 - 0.6157
= 0.3843
The probability that on a randomly selected day, he wrote at least one check is 0.3843
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A football team receives $258,000 in sponsorship for equipment, and the administrative costs are expected to be $27,000. What are the costs as a percentage of sponsorship revenue? (round to the nearest percent. ).
The administrative costs is approximately 10% of sponsorship revenue expressed as percentage.
Total amount of money received for equipment = $258,000
Total administrative cost = $27000
Percentage representation of the administrative costs =
= 27000 / 258000 × 100%
= 0.10465 × 100%
= 10.46...%
≈ 10 %
therefore the administrative cost is about 10 % of the whole sponsorship.
Long before the decimal system, calculations in Ancient Rome were regularly conducted in fractional multiples.
Augustus, for example, levied a centesima rerum venalium tax of one cent on commodities sold at auction. With these fractions, it was similar to computing percentages.
As money denominations grew in the Middle Ages, computations with a denominator of 100 became more widespread, becoming typical in mathematical literature from the late 15th through the early 16th centuries.
Several of these works used similar methodologies to investigate profit and loss, interest rates, and the Rule of Three. By the 17th century, interest rates were expressed in hundredths.
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I need Help i Have a C in my class
Answer:B
Step-by-step explanation:
R^2=Q^2-P^2
R^2=2025
R=45
Answer:
b) 45cm
Step-by-step explanation:
by pythagoras theorem:
R² = P² - Q²
R² = 53² - 28² = 2809 - 784
R² = 2025
R = √2025
R = 45cm
Hope this helps!
HELP I GIVE 50 points total if u get it right and get big brain! The perimeter of the triangle shown is 30 inches. What is the length of the shortest side of the triangle? *
If the perimeter is 30 all around, you need to find the to answers to each equation, then take the answers and add them together and minus the answer from 30 you should get the amount that equals x.
I hope it helps :)
Someone help and plz make sure it’s right
The answer would be 14.3
Given ABCD ~ JKLM, what is the perimeter of JKLM?
Answer:
220 in
Step-by-step explanation:
(36+42+45+42) * (48/36)
165(1.33333333)
220
A environmental scientist buys 20 gallons of oil eating bacteria to help remediate an area affected by an oil spill. The volume of water the scientist wants to cover with this bacteria is 5 ft³. What volume of water can the scientist cover with the bacteria she purchased? (1 gal = 0.13 ft³)
Answer:
2.6 ft³Step-by-step explanation:
Let the required volume be x
Use the ratio of gallon/volume to solve:
1/0.13 = 20/xx = 20*0.13x = 2.6 ft³With 20 gallons the scientist can cover 2.6 ft³ of water volume
The midpoint of AB‾ is M (3,1). If the coordinates of A are (4,3), what are the coordinates of B?
Given the midpoint M(3, 1) and point A(4, 3),then the coordinates of point B are (2, -1).
To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M(x, y) between two points A(x1, y1) and B(x2, y2) are given by:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
Given that the midpoint M is (3, 1) and the coordinates of point A are (4, 3), we can substitute these values into the midpoint formula and solve for the coordinates of point B.
Let's calculate it step by step:
Step 1: Identify the known values
Coordinates of point A: (x1, y1) = (4, 3)
Midpoint coordinates: (x, y) = (3, 1)
Step 2: Apply the midpoint formula
x = (x1 + x2) / 2
3 = (4 + x2) / 2
Multiply both sides by 2:
6 = 4 + x2
Subtract 4 from both sides:
x2 = 6 - 4
x2 = 2
y = (y1 + y2) / 2
1 = (3 + y2) / 2
Multiply both sides by 2:
2 = 3 + y2
Subtract 3 from both sides:
y2 = 2 - 3
y2 = -1
Step 3: Determine the coordinates of point B
The coordinates of point B are (x2, y2) = (2, -1)
Therefore, the coordinates of point B are (2, -1).
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which of the following solutes in aqueous solution would be expected to exhibit the smallest freezing-point lowering? a) 0.1 m nacl b) 0.2 m ch3cooh c) 0.1 m mgcl2 d) 0.05 m al2(so4)3 e) 0.25 m nh3
Freezing point depression is directly proportional to the molality of a solution, which is determined by the concentration of solutes in the solvent. the correct option is (b)
The greater the number of particles in a solution, the more the freezing point is reduced. In this question, we must determine which of the given solutes would be expected to cause the smallest lowering of the freezing point of an aqueous solution. This is a question of the colligative properties of solutions.
According to colligative properties, the number of particles present in a solution determines its freezing point. The molar concentration of each solute present in a solution is related to its molality by the density of the solution. Hence, we can assume that the molality of each of the given solutes is proportional to its molar concentration. We can also assume that all solutes are completely ionized in solution. The correct option is (b) 0.2 M CH3COOH.
According to the Raoult's law of vapor pressure depression, the vapor pressure of a solvent in a solution is less than the vapor pressure of the pure solvent.
The reduction in the vapor pressure is proportional to the mole fraction of solute present in the solution. The equation for calculating the freezing point depression is ΔT = Kf m, where ΔT is the freezing point depression, Kf is the freezing point depression constant for the solvent, and m is the molality of the solution. We need to compare the molality of each of the solutes to determine the expected freezing point depression. The number of particles in solution determines the magnitude of freezing point depression. Here, all solutes are completely ionized in solution. For each of the options, we have: Option (a) NaCl produces two ions: Na+ and Cl-, for a total of two particles per formula unit. Therefore, the total number of particles in solution is (2 x 0.1) = 0.2. Option (b) CH3COOH is a weak acid. It is not completely ionized in solution.
However, we can assume that it is ionized enough to produce a small number of particles in solution. Each molecule of CH3COOH dissociates to form one H+ ion and one CH3COO- ion. Hence, the total number of particles in solution is approximately equal to (2 x 0.2) = 0.4. Option (c) MgCl2 produces three ions: Mg2+, and 2Cl-, for a total of three particles per formula unit.
Therefore, the total number of particles in solution is (3 x 0.1) = 0.3. Option (d) Al2(SO4)3 produces five ions: 2Al3+, and 3SO42-, for a total of five particles per formula unit. Therefore, the total number of particles in solution is (5 x 0.05) = 0.25. Option (e) NH3 is a weak base. It is not completely ionized in solution.
However, we can assume that it is ionized enough to produce a small number of particles in solution. Each molecule of NH3 accepts one H+ ion to form NH4+ ion and OH- ion. Hence, the total number of particles in solution is approximately equal to (2 x 0.25) = 0.5. Therefore, among the given options, the smallest freezing-point lowering is expected with 0.2 M CH3COOH.
Thus, we can conclude that CH3COOH as it is expected to exhibit the smallest freezing-point lowering in aqueous solution.
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please help me right away! it’s timed!
Answer:
Its C!!!!!!!!!!!!
Step-by-step explanation:
Answer:
i think it is b but im not shure hope this helps
Step-by-step explanation:
What is the value of the expression shown?
24 - 5^2
Answer:
-1 is the value
Step-by-step explanation:
24 - 5² = 24 - 25
= -1
Help me please ⭐⭐⭐⭐⭐
Answer:
x = 20
Step-by-step explanation:
(see attached for reference)
From the diagram, we can see that angle A and angle C are base angles of an isoceles triangle. Hence they are equal. i.e
m∠A = m∠C
(3x+10) = (2x+30)
3x+10 = 2x+30 (subtract 2x from both sides)
3x + 10 - 2x = 30
x + 10 = 30 (subtract 10 from both sides)
x = 30 - 10
x = 20
help me pleaseeeeeeeeee
Answer:
See image
Step-by-step explanation:
For this question, you need to know several special relationships about circles. A radius goes from the center of a circle to any point on the circle. All the radii (not a typo, plural of radius is radii) are the same size, their measures are equal; we say they are congruent (the symbol is an equal sign with a ~over it)
In the diagram, OA and OB are congruent because they are radii. AC is a tangent, that means that it touches the circle at exactly one point, in this case at A. So since OA is a radius and AC is a tangent, they are perpendicular to each other (makes 90° angles). Then we can subtract 90 - 72 to find the angle OAB. Angle OAB is 14°. In triangle AOB, which has two sides the same, the opposite angles will also be congruent which means OBA is also 14° (OR you could use the exact same logic for OB perpendicular to BC and subtract, same calculation as before) . Once you have the two 14° angles in the triangle, you can use the fact that all the angles in a triangle add up to 180° So then, 14 + 14 + x =180. Solve this equation to find angle AOB. See image.
Noam solved the equation for k using the following calculations. K minus 7. 6 = 10. 35. 7. 6. K = 17. 41. What error, if any, did he make? He should have subtracted 7. 6 instead of adding it. He should have subtracted 10. 35 from both sides. He made a computation error when he added 10. 35 7. 6. He made a computation error when he added negative 7. 6 and 7. 6.
Yes, Noam made an error which was "He made a computation error when he added 10. 35 7. 6."
Based on the compuation given in the question, All the steps taken by Noam are correct and the only error he made was during the addition computation of 10.35 and 7.6.
Adding 10.35 and 7.6 would give 17.95 as against 17.41 which Noam wrote.
Therefore, the error in Noam's computation was "a computation error when he added 10. 35 7. 6"
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A company orders boxed lunches from a deli, which all cost the same price. The
relationship between the number of boxed lunches ordered, x, and the total cost in
dollars of the lunches, y, is represented by a graph drawn in the xy-plane.
If the point (5, 35) lies on the graph, what does the ordered
pair (5, 35) Indicate?
Answer:
The ordered pair (5, 35) in this context indicates that 5 boxed lunches were ordered and the total cost of those lunches was $35.
In the given graph, the x-coordinate represents the number of boxed lunches ordered (in this case, 5), and the y-coordinate represents the total cost of the lunches (in this case, $35). The point (5, 35) indicates the specific combination of the number of boxed lunches and the corresponding total cost on the graph.
Don receives a weekly allowance of $4.50. How much
allowance does he receive in a year (52 weeks)?
Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. In a certain city, employees work an average of 18.9 hours of overtime every month, with a standard deviation of 7.8 hours. What is the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours? Provide a solution showing your calculations and submit your work for marking. Include a sketch as part of your complete solution. P(X > 20)=
The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.
Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).
For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.
To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.
In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.
Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.
Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
Here's a sketch to visualize the calculation:
|
|
|
| **
| * *
| * *
| * *
| * *
| * *
| * *
-------------------|--------------------------
18.9 | 20
The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.
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Renata compro el triple de carne que regina. Kilogramos
Renata bought three times as much meat as Regina. Let's assume that Regina bought x kilograms of meat. According to the given information, Renata bought triple the amount Regina bought, which means Renata bought 3x kilograms of meat.
Therefore, the ratio of the meat purchased by Renata to the meat purchased by Regina is 3x : x, which simplifies to 3 : 1. This implies that Renata purchased three times as much meat as Regina. For example, if Regina bought 2 kilograms of meat, Renata would have bought 6 kilograms (3 times 2). The triple amount indicates that Renata's purchase quantity is three times greater than Regina's.
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QUESTION: Renata bought three times as much meat as Regina. Kilograms?
What’s is the factor?
125 +27y^3
Answer:
\((3y+5)(9y^{2} -15y+25)\)
Step-by-step explanation:
holly drinks 2 2/5 litre of water each day. The water comes in 1 2/5 litre bottles. How many bottles does Holly drink in a week?
Answer:Holly drank 12 bottles in a week.
Step-by-step explanation:
First change the fraction 1 2/5 litre into a decimal, by doing this, we can know how many litres are there in 2/5.
So= 1 2/5
= 2 ÷5 = 0.4
= 1 + 0.4 = 1.4 liters
1.4 liters is the amount of water in a bottle.
Next, also change the fraction 2 2/5 litres into a decimal.
So=2 2/5
= 2÷5 = 0.4
= 2 + 0.4 = 2.4 liters
She drinks 2.4 liters a day.
To find how many bottles she drank in 1 week, we must multiply the amount of water she drinks in a day to the days in a week.
So= 1 week= 7 days
= 1 day= 2.4 liters
So= 2.4 × 7 = 16.8
She drinks 16.8 in a week.
To find how much bottles she drank in a week, we must divide the amount of liters she drank in one week to the amount of liters are there in a bottle.
So= 16.8 ÷ 1.4= 12 bottles
Holly drinks 12 bottles in a week.
I hope this helps! I'm sorry if it's wrong and complicated.
a wheelchair ramp is 10 feet long. the ramp sits up on a 2 foot platform
Answer:
5 ft
Step-by-step explanation:
not sure what the wuestion is but using the formula. A^2 + B^2 = C^2 we find that 100 / 4 = 25 and the square root of 25 is 5
Clara is running a bakery. She's has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area?
A. 276 square inches
B. 240 square inches
C. 344 square inches
D. 324 square inches
Answer:
its D
Step-by-step explanation:
what is 105 cm to inches?
Answer: 41.3386
Step-by-step explanation:
Solve for x: one fifth times the quantity 5 times x plus 10 end quantity plus 5 times x is greater than 32
a
x is less than eleven thirds
b
x is greater than eleven thirds
c
x < 5
d
x > 5
x is greater than eleven thirds.
How to solve inequality?Inequality are expression that have <, > , ≤ and ≥ .
Therefore,
1 / 5 (5x) + 10 + 5x > 32
Hence,
1 / 5 × 5x + 10 + 5x > 32
x + 10 + 5x >32
combine like terms
x + 10 + 5x >32
x + 5x + 10 > 32
Therefore,
x + 5x + 10 > 32
6x + 10 > 32
subtract 10 from both sides
6x + 10 - 10 > 32 - 10
6x > 22
divide both sides by 6
x > 22 / 6
x > 11 / 3
Therefore, x is greater than eleven thirds.
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