9514 1404 393
Answer:
$3,669.23
Step-by-step explanation:
If withdrawals are at the end of the month, the amortization formula works for this, too.
A = P(r/12)/(1 -(1 +r/12)^(-12t)
where P is the principal invested at rate r for t years.
A = $500000(0.063/12)/(1 -(1 +0.063/12)^(-12·20)) ≈ $3669.23
Beth can withdraw a monthly payment of $3,669.23 for 20 years.
_____
If the withdrawals are at the beginning of the month, the amount is lower by the monthly interest rate factor. It would be $3650.06.
Help? ;(
Which of the following is a valid conclusion from the pie chart? 
A. If 60 students read four books, then 15 students read five more or more books. 
B. More than half the students read fewer than 3 books. 
C. If 60 students read four books, then 120 students read two books.
D. Twenty-two percent of the students read four or more books. 
                                                The valid conclusion from the pie chart is
D. Twenty-two percent of the students read four or more books.
Here, we have , from the given pie chart , we get,
the pie chart's data:
1 book: 18%
2 books: 24%
3 books: 42%
4 books: 12%
5 or more books: 4%
The "4 books" category explicitly states that 12% of the students read 4 books.
However, this does not necessarily mean that only 12% read four or more books.
The "5 or more books" category includes students who read five or more books, and this category accounts for 4% of the total.
Therefore, the conclusion that 22% of the students read four or more books is valid because it's the sum of the "4 books" category (12%) and the "5 or more books" category (4%).
None of the other options are valid conclusions based on the given pie chart:
Option A is not supported by the pie chart data.
Option B is not true; more than half the students (18% + 24% = 42%) have read three or more books.
Option C is not supported by the pie chart data.
So, the correct conclusion is D. Twenty-two percent of the students read four or more books.
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Find the quotient of 10^-4/10^2
The quotient of 10⁻⁴/10² is 10⁻⁶
How to Find the quotient of 10⁻⁴/10²?Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.
For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.
Division law states that:
10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ
In this case have:
10⁻⁴/10² = 10⁻⁴⁻² (Division law)
10⁻⁴/10² = 10⁻⁶
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The average of 5 numbers is 8.5. Four of the numbers are 9.2, 3.4, 6.5 and 7.4. What is
the fifth number?
Answer:5
Step-by-step explanation:
Razon trigonometría que se requiere para calcular la altura de la torre si desde una distancia de 50 m se observa su punto mas alto con un ángulo de 48
                                                Answer:
se supone que debes usar el SINE RATIO ya que se trata del lado opuesto y la hipotenusa.
The area of a rectangle is 99 square meters. The length is 11 meters. Find the width.
Answer:
9 meters
Step-by-step explanation:
To find the area of a rectangle you do length times width. To find a side length, or the width divide the area by the length. 99/11=9.
The width is 9 meters.
A newborn baby has extremely low birth weight if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children who had been born with extremely low birth weights. Their mean weight at birth was 810 grams.
a) What is the population being sampled in this study? b) Is 810 a parameter or a statistic? Explain why.
A) The population being sampled in this study is Population Mean
B) A parameter or a statistic of 810 is sample mean weight of the children will be same as the mean weight of the population
What is Sample and Population?
The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample.
Reason For (A) - An objective estimator of the mean weight m in the population of infants with exceptionally low birth weights is the sample mean. This indicates that the sample mean is the same as the population mean when the sample is a straightforward random sample taken from the population.
Reason For (B) - According to the query, a newborn is considered to have a very low birth weight if its weight is less than 1000 grams. 219 infants with extremely low birth weights had an average weight of 810 grams. Additionally, the sample mean provides a fair estimate of the average weight of the population of infants who were born with exceptionally low birth weights.
Therefore, if various samples of size 219 are drawn from the same population, the mean of the sample mean weight of the children will be the same as the mean weight of the population.
The mean of all sample means will be equal to the population mean weight if the ith sample's mean weight is x.
Therefore, the sample mean is an unbiased estimator of the population mean, which means that when various samples of size 219 are drawn from the same population, the mean of the sample means will be identical to the population mean.
A) The population being sampled in this study is Population Mean
B) A parameter or a statistic of 810 is sample mean weight of the children will be same as the mean weight of the population
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Mario needs 32.5 m of chain link fence to enclose his garden. The cost of the fence is $6.88 per meter. What is Mario's total cost? pls help
Answer:
223.6
Step-by-step explanation: take 32.5 and multiply it by 6.88
2+2 (I have been having a lot of trouble on this
Answer:
it's 4
Step-by-step explanation:
I hope it helps .....
Answer:
4
Step-by-step explanation:
2+2=4
I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!
Does this help?
the product of 12 and 3 decreased by 6
the product of 12 and 3 decreased by 6
we have that
the product of 12 and 3 ------> is number 12 multiplied by 3
12*3
decreased by 6
12*3-6=36-6=30
the answer is 30The graph below shows the percentages of ingredients in a salad mix.
A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots.
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
6 ounces
12 ounces
18 ounces
27 ounces
The correct Option is C. Dominic buys about 18 ounces of romaine lettuce in the 64-ounce container of salad mix.
From the pie chart, we can infer that the percentage of romaine lettuce in the salad mix is 27%.
We can find the number of ounces of romaine lettuce in a 64-ounce container of salad mix by multiplying 64 by 27/100.
This is because we want to find what fraction of the whole salad mix is romaine lettuce, and then multiply it by the total number of ounces in the container.
Using proportions, we can find that:Let x be the number of ounces of romaine lettuce in a 64-ounce container of salad mix.
27/100 = x/64
Solving for x, we get:x = (27/100) * 64 = 18.28
Therefore, there are about 18.28 ounces of romaine lettuce in a 64-ounce container of salad mix.
However, since we are asked to give an approximate answer, we can round this to the nearest whole number, which is 18.
So, Dominic buys about 18 ounces of romaine lettuce in the 64-ounce container of salad mix.
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please anwser! The annual inventory cost C for a manufacturer is given below, where Q is the order size when the inventory is replenished. Find the change in annual cost when Q is increased from 356 to 357, and compare this with the instantaneous rate of change when Q = 356. (Round your answers to two decimal places.)
Answer:
the change in C can be calculated by evaluating the cost function at Q = 356 and Q = 357
change in C = 1,020,000/357 + 7.6*357 - 1,020,000/356 + 7.6*356 ≈ -0.43
Instantaneous rate of change in C is first order derivative C':
C'(Q) = -1,020,000/(Q^2) + 7.6
C'(356) = -1,020,000/(356^2) + 7.6 ≈ - 0.45
Hope my answer helps.
Mt. Everest, the highest mountain in the world, is 2654 m higher than Mt. McKinley, the highest mountain in the United States. If the sum of their heights is 15,042 m, find the height of each mountain
Prove or disprove: 
It is possible to construct, using only straightedge and
compass, a rectangular box with square base of length x and height y
whose volume is 3 cubic units and surface area is 7 square units..?
Answer:
True/Prove
PLEASE GIVE BRAINLIEST THANK YOU!!!
Terry is the school swimming champion and has won several races. If the ratio of the number of times he's won to the number of races he has swum in is 2 : 3, how many races has he won?
The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.
If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.
Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:
x/y = 2/3
To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.
The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.
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If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.
A=6 × + 10=88555%__/455
Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours. The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is ________.
Answer:
The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is
contained by the interval (0.54 , 5.18)
Step-by-step explanation:
Given that:
for women
sample size = n₁ = 16
sample mean \((\bar X_1)\) = 24.75
standard deviation s₁ = 2.84
for men
sample size for men = n₂ = 7
sample mean \((\bar X_2)\) = 21.89
standard deviation s₂ = 3.29
degree of freedom = \((n_1 + n_2 )-2\)
= 16 + 7 -2
= 21
The critical value for \(\alpha = 0.1 \ and \ df \ of \ 21 \ is :\)
\(t_{0.005;21}= 1.721\)
The pooled standard deviation can be calculated as follows since the population variances are assumed to be equivalent.
\(s_p = \sqrt{\dfrac{(n_1 -1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\)
\(s_p = \sqrt{\dfrac{(16 -1)2.84^2+(7-1)3.29^2}{16+7-2}}\)
\(s_p = \sqrt{\dfrac{(15)8.0656+(6)10.8241}{21}}\)
\(s_p = 2.976\)
The standard error is estimated as follow:
\(se = s_p\sqrt{\dfrac{1}{n_1} + \dfrac{1}{n_2}}\)
\(se = 2.976\sqrt{\dfrac{1}{16} + \dfrac{1}{7}}\)
se = 1.348
Finally, the confidence interval \(C.I = ( x_1 -x_2 -t_c \times se \ \ ; \ \ x_1-x_2 +t_c \times se)\)
\(=(24.75 - 21.89 -1.721 \times 1.348 \ \ , \ \ 2475 - 21.89 + 1.721 \times 1.348) \\ \\ \mathbf{ = (0.54 \ \ , \ \ 5.18)}\)
What is the distance from (3.5 ,5) to (3.5, -12)
17
7
PLEASE ANSWER QUICKLY
What is the correct definition for sec 0? A. sec 0 = cos-1 0 B. sec 0 = sin-1 0 C. sec 0 = 1/sin 0 D. sec 0 = 1/cos 0 E. sec 0 = 1/tan 0
sec(theta) = 1/cos(theta)
I believe that is your option D
I need help I don’t understand
                                                Answer:
A. 1.2 > -6.9
Step-by-step explanation:
The reasoning is because positive numbers are ALWAYS greater than negative numbers, and in this question, 1.2 is higher than -6.9. Hope this helped!
Answer:
1.2> - 6.9
Step-by-step explanation:
1.2 is greater than (>) -6.9
Sadie plans to install new bookcases along a wall in her room her wall measures 12 2/5 feet long and each bookcase measures 3 3/4 feet in length how many bookcases can Sadie fit along her wall. Asap!!!!!Before 8:00pm.
Answer:
3 bookcases
Step-by-step explanation:
                                                            Complete the sentence to explain how to use mental math to express 12/25 as a percent.
Multiply the numerator and the denominator by______ to get ---------
 100
which is the same as ___%
Answer:
the first one is 4 i think and the last one is 48 percent. im not sure if the dotted line is a underline tho
Step-by-step explanation:
:))
Multiply the numerator and the denominator by 100 to get 48/100
which is the same as 48% .
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given,
Fraction = 12/25
To convert into percentage
divide the number by 100 and multiply by 100.
= ((12/25)×100)/100
= 12 × 100/25×100
= 48/100
= 48%
Hence, 48% is the expression of 12/25 as percent gotten by multiplying and dividing with 100.
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Evaluate the expression
15
X - 6, when x= 4.
es
Answer:
54
Step-by-step explanation:
I'm assuming the equation looks like this: 15x - 6
15*4 - 6
60 - 6
54
OR if it's just x-6 then the answer is -2
Hope this is what you were asking, have a nice day! :)
Qué significa la luna pesca en el charco
The expression "La luna pesca en el charco". which is equivalent to "The moon fishes in the puddle" and is used to express that an event is not likely to happen.
What is the meaning of this expression?To begin, this expression is not a literal but a figurative expression. Now, the equivalent of this expression in English is "The moon fishes in the puddle". As this is a figurative expression we know that it is impossible for the moon to fish.
Instead, this expression means that something is impossible or not very likely to happen. For example, winning the lottery if you do not buy the lottery.
Note: Here is the question in English:
What is the meaning of the moon fishes in the puddle?
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Use these properties to rewrite 7/4 + 1/2 + 5/3 + 1/3 + 1/4 + 1/2 in a way that makes the addition easier. Explain how your changes simplify the addition
                                                The addition of the 7 / 4 + 1 / 2 + 5 / 3 + 1 / 3 + 1 / 4 + 1 / 2 is 5.
What is fraction?A fraction represents a portion of a total. This entire may refer to a place or a group of places. The Latin word "fraction," which means "to break," is the source of the English term "fraction."
The distribution of food and supplies as well as the lack of a metal currency were among the mathematical issues that the Egyptians utilized fractions to solve because they were the first civilization to understand fractions.
Given:
7 / 4 + 1 / 2 + 5 / 3 + 1 / 3 + 1 / 4 + 1 / 2
Rearrange the number as shown below,
7 / 4 + 1 / 4 + 1 / 2 + 1 / 2 + 5 / 3 + 1 / 3
Add the like terms as shown below,
(7 + 1) / 4 + (1 + 1) / 2 + (5 + 1) / 3
8 / 4 + 2 / 2 + 6 / 3
Divide the terms as shown below,
2 + 1 + 2
5
Thus, the addition is 5.
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Bailey Checks her time records to see how fast she runs each day. On Tuesday, She Ran 3 3/4 Miles. On Friday, she ran 7 2/8 miles. How many more Miles did she run on Friday than Tuesday?
Step-by-step explanation:
I guess, she is checking how FAR she runs each day (and not how fast ...).
how many more miles did she run on Friday ?
we get this by calculating the difference between the 2 values. that is what subtraction is for.
7 2/8 - 3 3/4
as long as we have the numbers as combination of full and fraction numbers, we can subtract the full numbers right away.
7 2/8 - 3 3/4 = 4 2/8 - 3/4
now we convert both numbers to full fractions :
4 2/8 - 3/4 = (32 + 2)/8 - 3/4 = 34/8 - 3/4
and then we bring both fractions to the same denominator, in this case 1/8 :
34/8 - 3/4 = 34/8 - 3/4×2/2 = 34/8 - 6/8 = 28/8
now we can simplify
28/8 = 7/2 = 3 1/2
so, she ran 3 1/2 miles more in Friday than on Tuesday.
FYI
I just wanted to show you the full formal flow of such a calculation.
but we could have gotten the result quicker by recognizing that we can simplify the numbers already at the beginning :
7 2/8 - 3 3/4 = 7 1/4 - 3 3/4 = 4 1/4 - 3/4 = 3 2/4 = 3 1/2
Based on aâ poll, among adults who regret gettingâ tattoos, 18â% say that they were too young when they got their tattoos. Assume that eight adults who regret getting tattoos are randomlyâ selected, and find the indicated probability. Complete partsâ (a) throughâ (d) below.
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c. Find the probability that the number of selected adults saying they were too young is 0 or 1.
d. It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?
Answer:
a) 20.44% probability that none of the selected adults say that they were too young to get tattoos.
b) 35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c) 56.34% probability that the number of selected adults saying they were too young is 0 or 1.
d) No
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they say they were too young when they got their tattoos, or they don't say that. Each adult is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
18% say that they were too young when they got their tattoos.
This means that \(p = 0.18\)
Eight adults who regret getting tattoos are randomly selected
This means that \(n = 8\)
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
This is P(X = 0).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{8,0}.(0.18)^{0}.(0.82)^{8} = 0.2044\)
20.44% probability that none of the selected adults say that they were too young to get tattoos.
b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.
This is P(X = 1).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 1) = C_{8,1}.(0.18)^{1}.(0.82)^{7} = 0.3590\)
35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c. Find the probability that the number of selected adults saying they were too young is 0 or 1.
Either a. or b.
20.44 + 35.90 = 56.34
56.34% probability that the number of selected adults saying they were too young is 0 or 1.
d. It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?
Now \(n = 9\)
It is significantly low if it is more than 2.5 standard deviations below the mean.
The mean is \(E(X) = np = 9*0.18 = 1.62\)
The standard deviation is \(\sqrt{V(X)} = \sqrt{n*p*(1-p)} = \sqrt{9*0.18*0.82} = 1.15\)
1 > (1.62 - 2.5*1.15)
So the answer is no.
A hair dryer has a power of 1,200 W. How much electrical energy does it use in minutes?
Answer:
r 0.6 kWh to run for 30 minutes.
Answer:
ok so it takes 1200 watts for a hair dryer to run for a full hour, that means it takes 600 watts, or 600 Wh, or 0.6 kWh to run for 30 minutes
Step-by-step explanation:
Three sides of a triangle have lengths 4, 5, and 6. The angle between the two sides 5 and 6 is nearest: a. 83° b. 56°C. 41° d. 32°
In the given triangle, the angle between the two sides 5 and 6 is nearest 41°.
The term triangle means the polygon which has three sides and three angles and three vertices,
Here we have given that three sides of a triangle have lengths 4, 5, and 6.
And here we need to find the angle between the two sides 5 and 6
According to the given values, let us consider a = 4, b = 5 and c = 6
So, the angle between 5 and 6 can be written as ∠b
And it can be calculated as the following is one way to perform the calculation and it may not be the best way.
∠B = arc cos(a² + c² - b²)/2ac
When we apply the values one the formula, then we get
=> 0.72273 rad
The approximate degree is written as
=> 41.41°
When we round off it then we get the resulting value,
=> 41°
Therefore, option (c) is correct.
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The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?
The percentage change in the number of burglaries over the two-year period is 35% .
The change in burglaries over the two-year period to have a 40% increase is 6.7%.
Let's assume that the annual number of burglaries in 2011 is 1000. After the 50% increase in 2012, the number of burglaries would be: 1000(1.50) = 1500.
The number of burglaries after the 10% reduction in 2013 would be: 1500(.90) = 1350
The change in burglaries over the two-year period = (1350 / 100) - 1 = 35%
In order to determine how much burglaries would have to reduce in order to have a 40% change in burglaries, this formula would be used
(x - 1000) / 1000 = 0.40
x - 1000 = 400
x = 1400
The change in burglaries over the two-year period to have a 40% increase = (1400 / 1500) - 1 = 6.7%
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How do I solve this problem? 
5 + 2/3 ( 2p - 6 ) = 9
Answer:
p = 6
Step-by-step explanation:
5 + 2/3 (2p - 6) = 9
5 + 4/3p - 4 = 9
1 + 4/3p = 9
4/3p = 8
p = 6
Answer:
p= 6
Step-by-step explanation:
Solve for p:
(2 (2 p - 6))/3 + 5 = 9
Put each term in (2 (2 p - 6))/3 + 5 over the common denominator 3: (2 (2 p - 6))/3 + 5 = 15/3 + (2 (2 p - 6))/3:
(15/3 + (2 (2 p - 6))/3) = 9
15/3 + (2 (2 p - 6))/3 = (2 (2 p - 6) + 15)/3:
((2 (2 p - 6) + 15)/3) = 9
2 (2 p - 6) = 4 p - 12:
((4 p - 12) + 15)/3 = 9
Grouping like terms, 4 p - 12 + 15 = 4 p + (15 - 12):
(4 p + (15 - 12))/3 = 9
15 - 12 = 3:
(4 p + 3)/3 = 9
Multiply both sides of (4 p + 3)/3 = 9 by 3:
(3 (4 p + 3))/3 = 3×9
(3 (4 p + 3))/3 = 3/3×(4 p + 3) = 4 p + 3:
(4 p + 3) = 3×9
3×9 = 27:
4 p + 3 = 27
Subtract 3 from both sides:
4 p + (3 - 3) = 27 - 3
3 - 3 = 0:
4 p = 27 - 3
27 - 3 = 24:
4 p = 24
Divide both sides of 4 p = 24 by 4:
(4 p)/4 = 24/4
4/4 = 1:
p = 24/4
The gcd of 24 and 4 is 4, so 24/4 = (4×6)/(4×1) = 4/4×6 = 6:
Answer: p = 6