Answer:
203° F
Step-by-step explanation:
F = 1.8C + 32
F = 1.8 × 95 + 32
F = 203
15/4 divided by -5/8
Answer:
-6
Step-by-step explanation:
Answer:
-6/1 or just -6
Step-by-step explanation:
15/4 ÷ (-5/8) is -6/1 .
Find the reciprocal of the divisor
Reciprocal of (-5/8) : (-8/5)
Now, multiply it with the dividend
So, 15/4 ÷ (-5/8) = 15/4 × (-8/5)
= 15 × (-8) = -120
4 × (-5) = -20
After reducing the fraction, the answer is -6/1 or just -6.
A triangle has sides measuring 5m2+3m−2, 5m2+3m−2, and8m2−4m+3. What is its perimeter? Question 5 options: 18m2−2m+3 18m2+2m−1 18m2+4m−1 18m2+10m+3
Answer:
Just add the sides
Step-by-step explanation:
A straight line passes through the points P (1, 2) and Q (5, - 14). What is the gradient of the the line PQ?
A - ¼
B ¼
C 4
D - 4
Answer:
D
Step-by-step explanation:
gradient= change in y
__________
change in x
m= y2_ y1
______
x2- x1
m= -14- 2
_____
5-1
m= -16
___
4
m= -4
Thirty percent of credit card holders carry no monthly balance, while 70% do. Of those card holders carrying a balance, 30% have annual income $20,000 or less, 40% between $20,001 - $50,000, and 30% over $50,000. Of those card holders carrying no balance, 20%, 30%, and 50% have annual incomes in these three respective categories.
a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?
b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?
Answer:
a) 0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.
b) 0.778 = 77.8% probability that (s)he carries a balance
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?
20% of 30%(carry no balance).
30% of 70%(carry balance). So
\(P = 0.2*0.3 + 0.3*0.7 = 0.06 + 0.21 = 0.27\)
0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.
b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?
Conditional probability.
Event A: Annual income of $20,000 or less.
Event B: Carries a balance.
0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less
This means that \(P(A) = 0.27\)
Probability of a income of $20,000 or less and balance.
30% of 70%, so:
\(P(A \cap B) = 0.3*0.7 = 0.21\)
The probability is:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.21}{0.27} = 0.778\)
0.778 = 77.8% probability that (s)he carries a balance
Amount collectible from customer to whom sales have been made
Amount collectible from customer to whom sales have been made is called Accounts Receivable
What is Accounts Receivable ?Accounts receivable are the monies owed to you by customers as a result of the sale of goods or services. Accounts receivable, sometimes known as trade receivables or just receivables, are current assets.
The amount of money owing to a company for goods or services delivered or utilized but not yet paid for by consumers is known as accounts receivable (AR).
Accounts receivables are a current asset on the balance sheet. Any sum owing by clients for purchases bought on credit is referred to as AR.
Amount collectible from customer to whom sales have been made is called Accounts Receivable.
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a jogger runs at an average speed of six miles per hour. At that rate, how far will the jogger travel in one and one half hours?
Answer:
9 miles
Step-by-step explanation:
Hour = 6 miles
Half an hour = 3
6 + 3 = 9
Triangle ABC is defined by the points a (3, 8) B(7, 5) and C(2, 3). Create an equation for a line passing through point A and perpendicular to BC
According to the solution we have come to find that, the equation for the line passing through point A and perpendicular to BC is y = (-5/2)x + 31/2.
what is slope?
In mathematics, slope is a measure of the steepness of a line. It is defined as the ratio of the vertical change between two points on the line to the horizontal change between those same two points.
Slope is often denoted by the letter m, and can be calculated as:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
A positive slope indicates a line that is increasing from left to right, while a negative slope indicates a line that is decreasing from left to right. A slope of zero indicates a horizontal line, while a slope that is undefined (or "infinite") indicates a vertical line.
To find the equation of the line passing through point A and perpendicular to BC, we need to first find the slope of line BC.
The slope of line BC can be calculated as:
slope of BC = (y2 - y1) / (x2 - x1), where (x1, y1) = B and (x2, y2) = C
slope of BC = (3 - 5) / (2 - 7) = -2 / -5 = 2/5
Since the line we're trying to find is perpendicular to BC, its slope will be the negative reciprocal of the slope of BC. The negative reciprocal of 2/5 is -5/2.
Now, we can use the point-slope form of the equation of a line to find the equation of the line passing through point A and perpendicular to BC. The point-slope form is:
y - y1 = m(x - x1), where (x1, y1) = A and m is the slope we just calculated.
Substituting the values, we get:
y - 8 = (-5/2)(x - 3)
Simplifying this equation gives:
y - 8 = (-5/2)x + 15/2
y = (-5/2)x + 31/2
Therefore, the equation for the line passing through point A and perpendicular to BC is y = (-5/2)x + 31/2.
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Write an algebraic expression for the product of 2 and t.
Determine the equation (picture).
The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
How to find equation of a line?The equation of a line can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, lines that a perpendicular follows the rule below:
m₁m₂ = -1
Hence,
y + 6 = 3 / 4 (x - 2)
y + 6 = 3 / 4 x - 6 / 4
y = 3 / 4 x - 6 / 4 - 6
y = 3 / 4 x - 30 / 4
y = 3 / 4 x - 15 / 2
Hence,
3 / 4 m₂ = -1
m₂ = - 4 / 3
Therefore,
slope of the line is - 4 / 3
Let's find the y-intercept of the second line
4x + 5y -20 = 0
5y = -4x + 20
y = -4 / 5 x + 4
y-intercept = 4
Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
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the temperature is -7F and drops 15F what is the temperature now
Answer:
I'm really not sure but I think it would be -22F
Step-by-step explanation:
negative 7 minus 15 is negative 22
Write an equation in slope-intercept form for the line that goes through points (1.4,0) and (1.-2). y= x +
pretened the 5 isn't there btw>>
Answer:
x+[1+4+0]and {1×2}
Step-by-step explanation:
can you mark me brainlist
in a random sample of 60 computers, the mean repair cost was $150 with a standard deviation of $36. construct a 99% confidence interval for the population mean. don't just give the answer - show work and explain your process each step of the way so that i can
The confidence interval at 99% is (162.372, 137.628)
The total number of random samples = 60 computers
The mean repair cost = $150
The standard deviation = $36
The confidence interval = 99%
So,
1 - ∝ = 0.99
∝ = 1 - 0.99
∝ = 0.01
The equation of confidence interval = m ± t(1 - ∝/2, n-1) × s/\(\sqrt{n}\)
Substitute the values in the equation
= 150 ± t(1 - (0.01/2), (60-1)) × 36/\(\sqrt{60}\)
= 150 ± t(0.995, 59) ×4.65
The value of t(0.995, 59) = 2.662
Substitute the value in the equation
= 150 ± 2.662× 4.65
= 150 ± 12.372
Then
150 + 12.372 = 162.372
150 - 12.372 = 137.628
Therefore, the interval is (162.372, 137.628)
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Two angles are supplementary. The difference of the angle measures is 74°. Find the measure of each angle.
Answer:
The angles are 53° and 127°.
Step-by-step explanation:
Supplementary angles add up to 180°. So now that we know that, we must now use algebra.
I will use x and x-74 in my equation.
So the equation:
x+x-74=180.
=2x-74=180
2x=180+74
2x=254
x=127°
So the other angle is 127-74=53
The angles are 53 and 127.
6 + 2 to the 3rd power times 3
DONE?
prove that (Cosx-Cos³x)/Sinx=SinxCosx
Answer:
(Cosx-Cos³x)/Sinx=SinxCosx
Step-by-step explanation:
sin3x−cos3x
=sinxsin2x−cosxcos2x
=sinx(1−cos2x)−cosx(1−sin2x)
=sinx−sinxcos2x−cosx+cosxsin2x
=sinx−cosx+(sinx−cosx)sinxcosx
=(sinx−cosx)(1+sinxcosx
Solve 8x − 2(x + 1) = 7x + 8. 6 −6 10 −10
Answer:
x = -10
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
8x - 2(x + 1) = 7x + 8
Step 2: Distribute
8x - 2x - 2 = 7x + 8
Step 3: Combine like terms
6x - 2 = 7x + 8
Step 4: Subtract 6x on both sides
-2 = x + 8
Step 5: Subtract 8 on both sides
-10 = x
Step 6: Rewrite
x = -10
You and your family went out to eat at The Cheesecake Factory. The bill is $120, you want to leave an 18% tip and have to pay a 6% tax. What is the total you have to pay for the everything?
Find the tip:
$120 * 18% =
$120 * 0.18 =
$21.60
Find the tax:
$120 * 6% =
$120 * 0.06 =
$7.20
Find the answer:
$120 + $21.60 + $7.20 =
$148.80
if m this is so confusing
Round 5 2/3 to the nearest whole number then subtract
The square pyramid has a base area of 625 square meters and a height of 30 meters. Find the volume. cubic meters
No files
and links
Answer:
6250
Step-by-step explanation:
V= lwh /3 = 5·125·30 /3 = 6250
A one-way trolley ticket to Old Town costs
$3.50. How much will it cost for Diego and
three friends to ride to Old Town and
home again?
PLEASE HELP ME ON THIS ONE!
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
You’re planning to visit with 7 clients today and you estimate that at most each client will require 3/4 hours of your time. At most, how long does your estimate say it will take you to visit with all of these clients?
Mathematically, it will take you 315 minutes (5 hours, 15 minutes) at most to visit with all 7 clients.
How is the time determined?We can employ mathematical operations, including addition, subtraction, division, and multiplication to determine the total time required to visit the seven clients.
Since we know that a client requires 3/4 hours or 45 minutes of your visiting time, we can multiply 45 minutes by 7.
The product of the multiplication operation gives 315 minutes, which we can convert into hours and minutes by a division operation.
The number of clients visiting today = 7
The time it a client requires of your visit time = 3/4 hours
3/4 hours = 45 minutes (0.75 x 60)
For the 7 clients, it will take you 315 minutes (45 x 7)
315 minutes equal 5 hours and 15 minutes.
Thus, using basic mathematical operations, we can conclude that, at most, you require 5 hours and 15 minutes to attend to all seven clients today.
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Suppose you want to buy a $160,000 home. You found a bank that offers a 30-year loan at 3.3% APR.
What will be your monthly payment? (Round to the nearest cent.)
$
How much would you end up paying the bank for the home after 30 years? (Round to the nearest cent.)
$
Suppose you wanted to reduce the time of your loan to 25 years. What would be your new monthly payment? (Round to the nearest cent.)
$
How much would you end up paying the bank for the home after 25 years? (Round to the nearest cent.)
$
How much did you save by reducing the time of your mortgage loan? (Round to the nearest cent.)
$
The required solution with the concern of mortgage has been shown below.
$695.67, $250,441.20, $783.93, $235179, and $15262.2.
Using the formula for the monthly payment of a mortgage:
\(P = L[c(1 + c)^n]/[(1 + c)^n - 1]\)
Here P is the monthly payment, L is the loan amount, c is the monthly interest rate, and n is the total number of payments (in this case, 30 years = 360 months).
Plugging in the values given:
L = 160000
c = 0.033/12 (monthly interest rate)
n = 360
P = 695.67
So the monthly payment is $695.67.
To find out how much will be paid in total over 30 years, we can multiply the monthly payment by the total number of payments:
Total payments = P * n = $695.67 * 360 = $250,441.20
So the total amount paid to the bank for the home over 30 years is $250,441.20.
To calculate the new monthly payment for a 25-year loan, we can use the same formula but with n = 25*12 = 300 months:
P = 160000[(0.033/12)(1 + (0.033/12))^300]/[(1 + (0.033/12))^300 - 1]
P = $783.93
So the new monthly payment for a 25-year loan is $783.93.
The total amount paid over 25 years would be:
Total payments = P * n = $783.93 * 300 = $235179
So the total amount paid to the bank for the home over 25 years is $235179.
The amount saved by reducing the time of the mortgage loan is the difference between the total amount paid for the 30-year loan and the total amount paid for the 25-year loan:
Savings = $250,441.20 - $235179 = $15262.2
So the amount saved by reducing the time of the mortgage loan is $15262.2.
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Which list of angle measures could be the angle measures of a triangle?
Calculate the price of a zero-coupon bond that matures in five years if the market interest rate is 7.50 percent. (Assume semiannual
compounding and $1,000 par value.)
Multiple Choice
Based on the information given, the price of the zero coupon bond is $692.04.
How to solveTo calculate the price of a zero coupon bond, we need to use the following formula:
\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)
Where:
P = price of the bondF = face value of the bondr = annual interest raten = number of compounding periods per yeart = time to maturity in yearsAlso, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.
Plugging in the values into the formula, we get:
\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)
\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)
\(\sf P = \dfrac{1000}{1.4450}\)
\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)
Therefore, the price of the zero coupon bond is $692.04.
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How many meters per second are in 37 miles per hour? Round to one
decimal.
Answer:
16.5 m/s
Step-by-step explanation:
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
how many dimes equal $12.60? (show your work)
Answer:
126
Step-by-step explanation:
0.1x=12.6
126
someone please help me with this!
Answer:
remove the bracket on the other side by multiplying 180 by (2-n)
subtract 360 from 1260 to remain with -180n on the other side
divide both sides by -180n
then n become -5
Solve for x in the diagram below
Answer:
X=6
Step-by-step explanation:
5x+(x+54)=90
6x+54=90
6x=36
X=6