Answer:
a. $ 285,349,947
b. $ 34,055,227
c. $ 283,294,720 and $ 32,000,000
Step-by-step explanation:
We have the following data as of Jan. 1, 2013:
Cash 283,294,720
Discount on Bonds Payable 36,705,280
Bonds Payable 320,000,000
Now for the date of June 30, 2013, we do the following calculations:
320,000,000 x 10% x 2 = $ 16,000,000 cash payment
interest expense:
283,294,720 carrying value x 6% market rate = 16,997,683
to calculate depreciation:
16,997,683 - 16,000,000 = $ 997,683 discount amortization
Now for the new carrying value of bonds, we do the following:
283,294,720 + 997,683 = 284,292,403
As of Dec. 31, 2013, we have to:
320,000,000 x 10% x 2 = $ 16,000,000 cash payment
interest expense:
284,292,403 carrying value x 6% market rate = 17,057,544
to calculate depreciation:
17,057,544 - 16,000,000 = $ 1,057,544 discount amortization
Now for the new carrying value of bonds, we do the following:
284,292,403 + 1,057,544 = 285,349,947
Answering the questions:
a. The bonds would be listed at their current carrying value, $ 285,349,947
b. Interest Expense : 16,997,683 + 17,057,544 = $ 34,055,227
c. The $ 283,294,720 cash received from the sale of bonds would be added to cash flows under financing activities. The $ 32,000,000 in interest payments would be subtracted from cash flows under operating activities.
The net amount of liability, amount in income statement, and cash outflows related to Myriad Solutions, Inc.’s bonds are all calculated based on semiannual interest payments and the amortization of the discount over the life of the bonds. The carrying value of the bonds increases each year, and the interest expense and cash payments are reported in the financial statements.
Explanation:To determine the net amount of the liability Myriad Solutions, Inc. would report in its balance sheet at December 31, 2018, we need to calculate the carrying value of the bonds five years after issuance. Assuming the bonds were issued at a discount because the market rate of 12% was higher than the coupon rate of 10%, the discount is being amortized over the life of the bonds. This means the liability in the balance sheet is increasing every year until it reaches the face value at maturity.
The amount related to the bonds that Myriad would report in its income statement for the year ended December 31, 2018, includes the interest expense. Since the interest is paid semiannually, there would be two interest payments in 2018. Each payment would be a portion of the annual 10% coupon rate on the face value of $320 million, adjusted for any amortization of the bond discount over the reporting period.
For the statement of cash flows for the year ended December 31, 2018, Myriad would report the actual cash paid out as interest payments on the bonds. This would total the semiannual payments made on June 30 and December 31, which would be 10% of the $320 million face value divided by two, reflecting that interest is paid semiannually.
Find the least common multiple of 12,4, and 9
Answer:
3
Step-by-step explanation:
12 divided by 4 is 3, 3 times 3 is 9 bam
Answer:
36
Step-by-step explanation:
12 = 2 * 2 * 3 = 2^2 * 3
4 = 2 * 2 = 2^2
9 = 3 * 3 = 3^2
For the least common multiple, use common and not common factors with the largest exponent.
Use 2^2 and 3^2
LCM = 2^2 * 3^2 = 4 * 9 = 36
ake and Nico both measured their thumbs. Jake’s thumb is 55 millimeters long. Nico’s thumb is 5.7 centimeters long. Who has the longer thumb? Explain how you know.
Answer:
Nico
Step-by-step explanation:
We have to convert both to the same units! Think about the units: we have millimeters and centimeters. There are 10 millimeters in a centimeter, so
55 mm = 5.5 cm
We just had to move the decimal point!
Now compare the two measurements in cm. 5.5 and 5.7: which is greater? Look at the tenths place: 5<7, so 5.7 is greater and Nico’s thumb is longer!
Which equation is equivalent to
log5x3 - logr2 = 2?
10 og 5x*
102
5x
log
10
- 102
5x+x
log
10
102
Answer:
B
Step-by-step explanation:
The solution of the equation are,
⇒ 5x = 10²
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The expression is,
⇒ log 5x³ - log x² = 2
Now, We can simplify by the definition of logarithmic we get;
⇒ log (5x³ / x²) = 2
⇒ log (5x) = 2
⇒ 5x = 10²
Thus, The solution of the equation are,
⇒ 5x = 10²
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What is the slope intercept form of the equation -7x +14y=-35
Answer:
-7x+14y-35
Step-by-step explanation:
Answer:
y=-1/2x+5/2
Step-by-step explanation:
slope intercept form is y=mx+b
add 7x to both sides to get y alone on the left side of the equal sign
divide by 14 to get y alone
gets your answer y=-1/2x+5/2
Ed fills his water bottle with 1.2 liters of water. After his bike ride ,he drinks 200 millimeters of the water . How much is left in Ed’s water bottle.
Answer:
1 Litre
Step-by-step explanation:
Convert to similar units. 1.2L = 1,200 ml
1200 - 200 = 1000 or 1L
1 litre of water is left in his water bottle
Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies, is reviewing the order filling operations at her warehouses. Her goal is 100% of orders shipped within 24 hours. In previous years, neither warehouse has achieved the goal, but the East Coast warehouse has consistently out-performed the West Coast warehouse. Her staff randomly selected 200 orders from the West Coast warehouse (population 1) and 400 orders from the East Coast warehouse (population 2), and reports that 190 of the West Coast orders were shipped within 24 hours, and the East Coast warehouse shipped 372 orders within 24 hours. Maureen's null hypothesis is:
Answer:
Maureen's null hypothesis is, H₀: p₁ ≥ p₂.
Step-by-step explanation:
Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies wants test whether her goal of shipping 100% orders within 24 hours is achieved or not.
After reviewing the order filling operations at her warehouses she determines that neither the East coast nor the West coast warehouse has achieved the goal. But the East Coast warehouse has consistently out-performed the West Coast warehouse.
To check whether this determination is correct or not Maureen's staff randomly selected 200 orders from the West Coast warehouse (population 1) and 400 orders from the East Coast warehouse (population 2).
Of the 200 orders from the West Coast warehouse, 190 were shipped within 24 hours. And of the 400 orders from the East Coast warehouse, 372 were shipped within 24 hours.
The hypothesis can be defined as follows:
H₀: The proportion of orders that were shipped within 24 hours is not more for East Coast warehouse than for West Coast warehouse, i.e. p₁ ≥ p₂.
Hₐ: The proportion of orders that were shipped within 24 hours is more for East Coast warehouse than for West Coast warehouse, i.e. p₁ < p₂.
Thus, Maureen's null hypothesis is, H₀: p₁ ≥ p₂.
Maureen McIlvoy's null hypothesis would likely be that there is no significant difference in the shipment times of the East Coast and West Coast warehouses. Despite the initial data suggesting better performance at the West Coast, more statistical analysis such as a z-test or t-test would be required to confirm if there is a significant difference.
Explanation:In this context, Maureen McIlvoy, who is the owner and CEO of a mail order business for wind surfing equipment, is evaluating the efficiency of order fulfilment at her warehouses. Given her goal is to ship 100% of her orders within 24 hours, she is interested in comparing the performance of the East Coast warehouse to the West Coast warehouse.
When conducting such an analysis, a null hypothesis serves as the baseline or default expectation. In this case, Maureen's null hypothesis could possibly be that there's no difference in the performance between the two warehouses in terms of orders shipped within 24 hours, despite the past performance.
With the given data of 190 out of 200 orders shipped on time at the West Coast, and 372 out of 400 orders shipped on time at the East Coast, we can further analyze the percentages of timely shipping - 95% and 93% respectively. Though the West coast performed better in the examined sample, this is not sufficient to reject the null hypothesis that the performances are identical without further statistical testing such as a z-test or t-test.
On the other hand, her alternative hypothesis could state that there is a significant difference in the efficiency of the two warehouses in achieving the 24-hour shipping target.
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A state map has a circle-shaped compass.
The radius of the compass is 15 millimeters. What is the approximate area of the compass? (Use 3.14 for .)
A.
47.1 mm2
B.
94.2 mm2
C.
706.5 mm2
D.
1,413 mm2
Answer:
C
Step-by-step explanation:
Using the formula for the area of a circle (A = πr²), with a radius of 15 mm and π approximated as 3.14, the area of the compass is found to be 706.5 mm². Option C is the correct answer.
To find the area of the compass, which is circle-shaped, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius. Given the radius of the compass is 15 millimeters, we substitute 15 mm for r in the formula:
A = π(15 mm)²
A = 3.14(225 mm²)
A = 706.5 mm²
Therefore, the approximate area of the compass is 706.5 mm², which corresponds to option C.
Consider a finite population with five elements labeled A, B, C, D, and E. Ten possible simple random samples of size 3 can be selected. Using simple random sampling, what is the probability that each sample of size 3 is selected?
Answer:
10% probability that each sample of size 3 is selected
Step-by-step explanation:
Each sample has the same probability of being selected.
There are 10 samples.
This means that the probability of each sample being selected is:
1/10 = 0.1
10% probability that each sample of size 3 is selected
The probability of each possible sample that can be drawn from a finite population of size N can be calculated using the hypergeometric distribution.
The formula for calculating the probability of getting k successes (in this case, a successful sample of size 3) in a sample of size n, drawn without replacement from a population of size N, is:
P(k) = (C(k, K) * C(n - k, N - K)) / C(n, N)
where C(k, K) is the number of ways to choose k items from a set of K items, and C(n - k, N - K) is the number of ways to choose n - k items from a set of N - K items.
For part (a), N = 4, n = 3, and K = 3. Therefore, there is only one possible successful sample of size 3, and the probability of getting that sample is:
P(3) = (C(3, 3) * C(0, 1)) / C(3, 4) = 1/4
For part (b), N = 6, n = 3, and K = 3. Therefore, there is only one possible successful sample of size 3, and the probability of getting that sample is:
P(3) = (C(3, 3) * C(0, 3)) / C(3, 6) = 1/20
For part (c), N = 12, n = 3, and K = 3. Therefore, there are C(3, 12) = 220 possible successful samples of size 3, and the probability of getting any one of them is:
P(3) = (C(3, 3) * C(0, 9)) / C(3, 12) = 1/220
For part (d), N = 18, n = 3, and K = 3. Therefore, there are C(3, 18) = 816 possible successful samples of size 3, and the probability of getting any one of them is:
P(3) = (C(3, 3) * C(0, 15)) / C(3, 18) = 1/816
Therefore, the probabilities of each possible sample of size 3 that can be drawn from the given populations are:
(a) 1/4
(b) 1/20
(c) 1/220
(d) 1/816
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Evalúe 3z + 6 when Z=4
A) 4
B) 6
C)8
D)18
Answer:
D 18
Step-by-step explanation:
3z + 6
Let z=4
3*4 +6
Multiply first
12+6
Then add
18
Known :
z = 4
Asked :
3z + 6 = ...?
Answer :
3z + 6
= 3(4) + 6
= 12 + 6
= 18
So, the value of 3z + 6 is 18 (D)
Hope it helpful and useful :)
5 cm
7 cm
15 cm
What is th5 surface area of the figure?
_square centimeters
In a recent survey, a random sample of 199 office managers were asked about overtime, and 76 reported that they regularly work overtime each week. What value of z should be used to calculate a confidence interval with a 98% confidence level
Answer:
2.326
Step-by-step explanation:
They are only asking which z-score should you use. To determine find the confidence interval which is 98% or .98.
Subtract this number by 1 and divide by 2.
1-.98=.02/2=.01
Find the correlating z-score for z.01 on the z-score chart which is 2.326
The z-value for a 98% confidence level in statistics, used in constructing confidence intervals, is approximately 2.33 standard deviations away from the mean.
Explanation:The question falls under the area of statistics, specifically, confidence intervals. In order to find the z-value for a 98% confidence level, we turn to the z-table or use a z-score calculator. The z-value for a 98% confidence level is approximately 2.33. This value represents the number of standard deviations away from the mean that your confidence interval is.
The idea here is that for us to be 98% confident that our interval contains the true population mean or proportion, our interval must extend 2.33 standard deviations on either side of our sample mean or proportion. Thus, in the context of your survey of office managers working overtime, this z-value would be used to calculate your confidence interval for the proportion of all office managers who work overtime.
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Multiply 13x-2 by 12
Answer:
156x-24
Step-by-step explanation:
12*(13x-2)=
12*13x+12*(-2)=
156x-24
Hope this helps!
Translate to an algebraic equation then solve. 33. The length of a rectangle is six units longer than the width. Find the length and width if the perimeter of the rectangle is 60 units.
Answer:
length 18 unitswidth 12 unitsStep-by-step explanation:
Let w represent the width of the rectangle. Then the length is w+6, and the perimeter is ...
P = 2(L +W)
60 = 2((w+6) +w) . . . substitute known values
30 = 2w +6 . . . . . . . .divide by 2, collect terms
15 = w +3 . . . . . . . . . divide by 2 again
12 = w
w+6 = 18
The length is 18 units; the width is 12 units.
What is the sum of the interior angles of a polygon with 5 sides
Answer:
540°
Step-by-step explanation:
Sometimes when grouping symbols are use to enclose other grouping symbols, we use __________ instead of parentheses or brackets, to make an expression easier to read.
Example: 2{(3 + 5)[2 −(4 + 5)] + 8
Answer:
Sometimes when grouping symbols are use to enclose other grouping symbols, we use braces instead of parentheses or brackets, to make an expression easier to read.
Step-by-step explanation:
To group numbers or variables, brackets and braces are mostly used. Generally, they are used after parentheses. Parentheses are to be used first, then brackets, and then braces: {[( )]}.
However, instead of brackets or braces, sometimes, the use of larger parentheses will be observed.
Answer:
Square brackets will always be used, to enclose or group several arithmetic operations that involve several simultaneous operations, as described in the example.
The bracket generally groups or implies that the most particular or small operations must be performed until finally breaking it down and thus solving the entire general operation.
Step-by-step explanation:
1. When there are no parentheses or square brackets, we do the multiplications and divisions first if there are any. If there are several positive and negative numbers we group them together and then add them together.
2. When there are parentheses, we first make the calculations for the parentheses if there are any, and then to remove the parentheses we apply the rule of signs, sign that is in front of the parenthesis for each sign that is inside.
3. When there are parentheses and square brackets, we make the parentheses first, we remove them applying the rule of signs. Then we make the brackets and remove them applying the rule of signs. Then we make the products and divisions and finally the sums.
A broken thermometer reads 33° F, but Kira knows that the temperature is at least 33° F, if not even colder. Which of the following inequalities, shows the possible temperatures?
t ≤ 33° F
t ≥ 33° F
t > 33° F
t < 33° F
Answer:
t ≤ 33°F
Step-by-step explanation:
Answer:
t ≤ 33° F
Step-by-step explanation:
Philip built an addition onto his CD store to expand his floor space for more music. His usable floor space was tripled even after he set aside 150 square feet for a new video arcade. If the floor space of the entire new structure is 1800 square feet, what was the area of the original floor
Answer:
figure to out
Step-by-step explanation:
Sue has 18 sweets. Tony also has 18 sweets. Sue gives Tony x sweets. Sue then eats 5 of her sweets. Tony then eats half of his sweets. Write the expression for the number of sweets Sue and Tony now have.
Answer:
suee has 18-x-5
tony has 18+x-((18+x)/2)
Step-by-step explanation:
Can i get brainliest plz
Answer:
s(18 - x)-5 t(18x/2) is initial
they now have;
t( 9x) s(13-x)
Step-by-step explanation:
Which values from the set {−6, −4, −3, −1, 0, 2} satisfy this inequality?
−1/2x + 3 ≥ 5
Answer:
The values [tex]x=-6[/tex] and [tex]x=-4[/tex] satisfy this inequality
Step-by-step explanation:
Let us look at each individual value of the set {−6, −4, −3, −1, 0, 2} with regards to the inequality
[tex]x=-6\\\\\frac{-1}{2}(-6)+3\geq 5\\3+3\geq 5\\\\6\geq 5[/tex]
As this inequality is true, [tex]x=-6[/tex] satisfies this inequality
[tex]x=-4\\\\\frac{-1}{2}(-4)+3\geq 5\\\\2+3\geq 5\\\\5\geq 5[/tex]
As this inequality is true, [tex]x=-4[/tex] satisfies this inequality
[tex]x=-3\\\\\frac{-1}{2}(-3)+3\geq 5\\\\\frac{3}{2} +3\geq 5\\\\\frac{9}{2} \geq 5[/tex]
As this inequality is false, [tex]x=-3[/tex] does not satisfy the inequality
[tex]x=-1\\\\\frac{-1}{2}(-1)+3\geq 5\\\\\frac{1}{2} +3\geq 5\\\\\frac{7}{2} \geq 5[/tex]
As this inequality is false, [tex]x=-1[/tex] does not satisfy the inequality
[tex]x=-0\\\\\frac{-1}{2}(0)+3\geq 5\\\\3\geq 5[/tex]
As this inequality is false, [tex]x=0[/tex] does not satisfy the inequality
[tex]x=2\\\\\frac{-1}{2}(2)+3\geq 5\\\\-1+3\geq 5\\\\2\geq 5[/tex]
As this inequality is false, [tex]x=2[/tex] does not satisfy the inequality
The values from the set less than -4 is -6
Given the inequality expression
−1/2x + 3 ≥ 5Subtract 3 from both sides
−1/2x + 3 - 3 ≥ 5 - 3
-1/2x ≥ 5 - 3
-x ≥ 2 * 2
- x ≥ 4
x ≤ -4
This shows that the value of x must be less than -4. The values from the set less than -4 is -6
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Charlene is wrapping the box below. How much wrapping paper will she need? *
Answer:
286 in³
Step-by-step explanation:
7×5 = 35
35×2 = 70in
9×5 = 45
45×2 = 90in
9×7 = 63
63×2 = 126in
70+90+126
=286in³
Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x. Maris earns a
monthly salary of $4,000 plus a 4% commission on her sales, x. For what value of sales, x, will Jose's earnings be greater than Maris' earnings?
Choose the inequality that could be used to solve this problem.
3,500 + 0.06x > 4,000 + 0.04x
3,500 + 0.6x > 4,000 + 0.4x
3,500 + 6x > 4,000 + 4x
3,500 + 0.06x < 4,000 + 0.04x
Answer:
(A)3,500 + 0.06x > 4,000 + 0.04x
Step-by-step explanation:
Jose's Earnings
Monthly Salary = $3,500
6% commission on his sales, x =0.06x
Total = 3500+0.06x
Maris' Earnings
Monthly Salary = $4,000
4% commission on her sales, x =0.04x
Total = 4000+0.04x
If Jose's earnings be greater than Maris' earnings, then:
3500+0.06x > 4000+0.04x
3. A lawn had a length of 10 feet and a width
of 8 feet. What is the perimeter of the
lawn?
1. 80 feet
2. 80 square feet
3. 36 square feet
4. 36 feet
Help? I can't seem to understand arithmegic sequence.
A sequence [tex]\{a_n\}[/tex] is arithmetic if the difference between consecutive terms is some fixed number, regardless of which pair of consecutive terms you pick out of the sequence.
For example, the following sequences are arithmetic:
1, 2, 3, 4, 5, 6, ... (difference = 1)
-25, -20, -15, -10, -5, ... (difference = 5)
2. Carla's sequence is not arithmetic, because the differences between consecutive terms are all different:
13 - 11 = 2
17 - 13 = 4
25 - 17 = 8
She can adjust the sequence by changing the last two numbers to 15 and 17, since this makes the difference fixed:
13 - 11 = 2
15 - 13 = 2
17 - 15 = 2
and so on.
3. The sequence
45, 48, 51, 54, ...
is arithmetic with difference 3 between terms. Recursively, we can write the [tex]n[/tex]th term, [tex]a_n[/tex], in terms of the previous, [tex](n-1)[/tex]th term, [tex]a_{n-1}[/tex]:
[tex]a_n=a_{n-1}+3[/tex]
By this definition, we can just as easily write the [tex](n-1)[/tex]th term in terms of the [tex](n-2)[/tex]th term:
[tex]a_{n-1}=a_{n-2}+3[/tex]
Then, substituting this into the previous equation, we have
[tex]a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3[/tex]
We can continue this process to write [tex]a_n[/tex] in terms of [tex]a_1[/tex]:
[tex]a_{n-2}=a_{n-3}+3\implies a_n=a_{n-3}+3\cdot3[/tex]
[tex]a_{n-3}=a_{n-4}+3\implies a_n=a_{n-4}+4\cdot3[/tex]
and so on. (You might notice that the subscript of the term on the right side, and the number of 3s being added, together sum to [tex]n[/tex].) The pattern continues down to
[tex]a_n=a_1+(n-1)\cdot3[/tex]
The first term in this sequence is [tex]a_1=45[/tex], so we have
a. [tex]a_n=45+3(n-1)=42+3n[/tex]
where [tex]n=1,2,3,\ldots[/tex].
b. You can fill in the blanks by just adding 3 to the previous term:
45, 48, 51, 54, 57, 60, 63, 66, 69, ...
Then, using the formula found in (a), the 15th term of the sequence is
[tex]a_{15}=42+3\cdot15=87[/tex]
2 divided by -12 what is the answer?
Answer:
-1/6
Step-by-step explanation:
When dividing 2 by -12 you would use 2 as the numerator and -12 as the denominator and then simplify it by dividing both by two to end up with -1/6
8 customers entered a store over the course of 16 minutes. At what rate were the customers entering the store in minutes per customer?
Answer:
1 customer per 2 minutes or 1/2 of a customer per 1 minute(I would go with the 1st one since you can't have 1/2 of a customer.)
Step-by-step explanation:
The customers were entering at the rate of 1 customer in 2 minutes.
What is unit rate?A unit rate means a rate for one of something.
Given that, 8 customers entered a store over the course of 16 minutes.
8 customers in 16 minutes
1 customer = 16/8 = 2 minutes.
Hence, The customers were entering at the rate of 1 customer in 2 minutes.
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2. Jeff is trying to "get with" Slater. Being a calculating player, Jeff knows that his population proportion of landing a date is 69 percent. Jeff is going to make advances on Slater until success, so let us model the situation with a geometric distribution.2 (a) What is the probability that Jeff needs exactly 3 advances? (b) What is the probability that Jeff needs at least 3 advances? (c) Given that Jeff already made 4 advances, what is the probability that Jeff will need at least 3 more advances? (d) Show that all of the possibilities do indeed add up to 100 percent.
Answer:
[tex]\bf a) - 0.0663\\b) - 0.31\\c) - 0.021\\d) - 1 or 100%[/tex]
Step-by-step explanation:
[tex]Let\;p = 69\;\% =0.69[/tex]
[tex]So, p(x)=q^{x-1}p[/tex] [tex]-(i)[/tex]
a) - The probability which Jeff requires at exactly three advances that is,
Then, put the value of [tex]x=3[/tex] in eq - i
[tex]p(x=3)=(0.31)^{3-1}(0.69)[/tex]
[tex]p(x=3)=0.0663[/tex]
b) - The probability which Jeff requires at least three advances that is,
[tex]p(x\geq1)=1-p[/tex]
Put the value of [tex]p[/tex] in the eq
[tex]p(x\geq 2)=1-0.69=0.31[/tex]
c) - Considering that he has only made four advances, the probability would be that he will require at least three more advances that is.
[tex]p(\frac{x=7}{x\geq 4}) = \frac{p(x=7\;\cap\;x\geq 4)}{p(x\geq 4)}[/tex]
[tex]p(\frac{x=7}{x\geq 4}) = \frac{p(x=7)}{1-p(x\leq 3)}[/tex]
Then, put the value in the eq - i
[tex]=\frac{(0.31)^{7-1}(0.69)}{1-\sum_{x=1}^{3}(0.31)^{x-1}(0.69)}[/tex]
[tex]=\frac{0.0006}{1-0.9702}[/tex] [tex]=0.0201[/tex]
d) - Display that all possibilities actually added up to 100% that is.
[tex]p(x\geq1)=p(x=1)+p(x=2)+p(x=3)...........[/tex]
[tex]=q^{1-1}p+q^{2-1}p+q^{3-1}p[/tex]
by solving [tex]x=1[/tex] then, we get
[tex]=\frac{p}{1-q} =\frac{0.69}{1-031}[/tex]
So, we get 1 or 100%.
Answer:
A) 0.0066309 ; B) 0.0961 ; D) Proven
Step-by-step explanation:
Geometric Distribution : X ~ [tex]q^(x-1) . p[/tex]
p = 0.69 ; q = 1- p = 1 - 0.69 = 0.31
A) P (x = 3) = [tex](0.31)^(3-1) (0.69) = 0.31^2 (0.69) = 0.0961(0.69)= 0.0066309[/tex]
B) P (x > 3) = 1 - [ P(x =1) + P(x = 2) ]
[tex]1 - [(0.31)^0 (0.69) + (0.31)^1(0.69)] = 1 - (0.69 + 0.2139) = 1 - 0.9039 = 0.0961[/tex]
D) P (x > 1) = P (x =1) + P (x = 2) + P (x = 3) ...............
= p + pq + pq^2 + pq^3 ........ [Geometric series with a = p , r = q]
Sum of infinite geometric series = a / (1- r)
p / (1-q) = 0.69 / (1-0.31) = 0.69 / 0.69 = 1 {Hence Proven}
A repair person charges $25 per hour plus and initial service charge of $30.
Marty received a bill for $155. How many hours did the repair person work?
Answer:
The repair person did 5 hours of work.
Step-by-step explanation:
155 = 25x + 30
125 = 25x
5 = x
Answer:
5 hours
Step-by-step explanation:
155 less 30 initial = 125 divided by 25 an hour = 5
1. Over 6 days, Jim jogged 6.5 miles, 5 miles,
3 miles, 2 miles, 3.5 miles, and 4 miles.
What is the mean distance that Jim jogged
each day?
A 3.75 miles © 4.5 miles
B 4 miles
D 6.5 miles
Answer:
B. 4 miles
Step-by-step explanation:
Jim ran a total of ...
6.5 +5 +3 +2 +3.5 +4 = 24 . . . . miles
Then his average was ...
(24 miles)/(6 days) = 4 miles/day
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
To find the acceleration of an object with a force of 7.92 N and mass of 3.6 kg, use the formula F = ma to calculate the acceleration as 2.2 m/s².
The force acting on the object can be calculated using the formula F = ma, where F is the force, m is the mass, and a is the acceleration.
Given F = 7.92 N and m = 3.6 kg, plug these values into the formula: F = 7.92 N, m = 3.6 kg.
Calculate the acceleration using the formula: a = F/m = 7.92 N / 3.6 kg = 2.2 m/s².
Therefore, the acceleration of the object with a force of 7.92 N and mass of 3.6 kg is 2.2 m/s².
Jared is comparing the interest rates on savings accounts at several banks near his home. He chooses an account that pays 0.85% interest annually. What is 0.85% written as a decimal? (Please remember your rules for turning percents into decimals)
HEELP PLZ fast!
A
0.00085
B
0.0085
C
0.085
D
0.085
Answer:
Option "B" is the correct answer to the following question.
Step-by-step explanation:
Given:
Rate of annual interest = 0.85%
Find
Value of 0.85% in decimal
Computation:
To convert any percent number into a decimal, we have to divide that number by 100.
So,
Value of 0.85% in decimal = [tex]\frac{0.85}{100}[/tex]
Value of 0.85% in decimal = 0.0085
Note: We have to eliminate the percent symbol from the given number.