Answer:
1 - p
Step-by-step explanation:
The cost of insurance is constant, this is 60.The cost of fuel is 0.10d as d is the number of miles.The only variable left is 1-p which represents the percentage of expensesSo the answer is:
1 - pAnswer:
1-p
Step-by-step explanation:
I took the test and this was the answer.
One airplane is located 200 km north and 50 km east of an airport. A second plane at the same altitude is located 30 km north and 100 km north and 100 km west.
The distance between the planes is closest to:
A. 150 km
B. 200 km
C. 300 km
D. 350 km
E. 400 km
Answer: B
Step-by-step explanation:
We can define the North as our positive y-axis, and the East as the positive x-axis.
The position of the airport is the (0, 0)
Then the position of the first plane is: (200 km north and 50 km east)
(50km, 200km)
The position of the other plane is: (30 km north and 100 km west)
(-100km, 30km)
Now, if we have two points (a, b) and (c, d)
The distance between those points is:
D = √( (a - c)^2 + (b - d)^2)
Then the distance between the planes is:
D = √( (50km - (-100km))^2 + (200km - 30km)^2)
D = √( (150km)^2 + (170km)^2)
D = 226.7km
Then the distance is closest to 200km, the correct option is B.
On a coordinate plane, we have:
North represents the positive y-axisSouth represents the negative y-axisEast represents the positive x-axisWest represents the negative x-axisThe closest distance between the planes is 200km
The positions of the two planes is given as:
[tex]A = (50,200)[/tex] --- 50km east and 200km north
[tex]B = (-100,30)[/tex] --- 100km west and 30km north
The distance between the planes is calculated using the following distance formula:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]d = \sqrt{(50--100)^2 + (200-30)^2}[/tex]
[tex]d = \sqrt{150^2 + 170^2}[/tex]
[tex]d = \sqrt{51400}[/tex]
[tex]d = 226.72km[/tex]
From the list of given options, 200km is the closest to 226.72km
Hence, the closest distance between the planes is 200km
See attachment for the positions of both planes
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Identify the following series as arithmetic, geometric, both, or neither. 3a + 3a² + 3a³ + . . . + 3an geometric arithmetic neither both
Answer:
solution
given=3a+3a^2+3a^3+....+...+...3an
first term(t1)=3a
second term(t2)=3a^2
third term(t3)=3a^3
for arithmetic mean ,d1=d2
d1=t2_t1=3a^2_3a=3a(a_1)
d2=3a^3_3a^2=3a^2(a_1)
here d1 is not equal to d2.
so it's not an arithmetic series.
Again,for geometric mean,r1=r2
r1=d2/d1=3a^2/3a=a
r2=d3/d2=3a^3/3a^2=a
here ,r1 is equal to r2.
so ,it's an geometric series.
can someone please help me
Answer:
Mark answer C and D as correct
Step-by-step explanation:
Recall that a bisector cuts the side in two equal segments, then KH has to be half of 136 that is KH = 68
Also KHZ and HLZ are right angle triangles that share the same hypotenuse, so they are congruent triangles, which means that HL must equal KH and therefore the full side HJ must be 68 times 2 = 136
Every morning there is an 70% chance that I get to the bus on times. if each morning is independent of the others, what is the probability that I get to the bus on times at least 4 times in 5 days?
a 0.04437
b. 0.3915
c. 0.05220
d 0.5282
e 0.9657
Answer:
d 0.5282
Step-by-step explanation:
Given the following :
Probability of getting to the bus on time = 70% = P = probability of success = 0.7
(1 - p) = probability of failure = 0.3
Number of trials(n) = 5 days
Number of sucesses (r) = atleast 4 days : >= 4
This is a binomial probability problem
P(r) = nCr × P^r × (1 - P)^(n - r)
P(X >=4) = P(4) + P(5)
P(4) = 5C4 × (0.7)^4 × (0.3)^1 = 0.36015
P(5) = 5C5 × (0.7)^5 × (0.3)^0 = 0.16807
P(4) + P(5) = 0.36015 + 0.16807 = 0.52822
A local electronics store is offering a $200.00 rebate along with a 20% discount. Let x represent the original price of an item in the store. Find the composite function (D ° R)(x) Group of answer choices 200 – 0.8x 0.8x (0.8x – 80) 0.8x – 200 0.8x - 80
Answer:
0.8(x - 200)
Step-by-step explanation:
The rebate function is subtracting 200 from the price.
R(x) = x - 200
The discount function is to take 20% off the original price which means to pay for 80% of the original price.
D(x) = 0.8x
(D ° R)(x) =
= D(R(x))
= D(x - 200)
= 0.8(x - 200)
Which of the following is a cash transaction? Calculating interest charges Making change Making time payments Using a credit card
Answer:
Making change
Step-by-step explanation:
Making change is a cash transaction. Change is cash, bills or coin, that refunds the difference between the amount due and the amount paid.
Answer:
Step-by-step explanation:
Making change: you work entirely with cash (coins), exchanging the money in one form for the same amount of money in another form (e. g., coins to dollar bills).
A new television set was recently purchased for the commons room in a residence hall for $469.20 including tax. If the tax rate is 2% find the price of the television set before taxes
Answer:
459.81
Step-by-step explanation:
So if the TV is 469.20 take that number and subtract 2% away from it and boom you got your answer.
Evaluate 8 2/9 - 7 1/6
Answer:
19/18
Step-by-step explanation:
convert to an improper fraction
8 2/9 = 74/9
7 1/6 = 43/6
= 74/9 - 43/6
convert so denominators are equal -- multiply by 2
= 148/18 - 129/18
subtract
19/18
On subtracting two mixed numbers 8 2/9 and 7 1/6 we will get 1 1/18.
Given is subtraction operation involving two mixed numbers 8 2/9 and 7 1/6.
We need to evaluate 8 2/9 - 7 1/6.
To evaluate the expression 8 2/9 - 7 1/6, we first need to convert the mixed numbers to improper fractions, then perform the subtraction.
Step 1: Convert mixed numbers to improper fractions.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fractional part and add the numerator. Keep the denominator the same.
Let's do this for both numbers:
8 2/9 = (8 × 9 + 2) / 9 = 74 / 9
7 1/6 = (7 × 6 + 1) / 6 = 43 / 6
Step 2: Perform the subtraction.
Now that both numbers are in the form of improper fractions, we can subtract them:
(74 / 9) - (43 / 6)
To subtract fractions, they must have the same denominator. To achieve this, we find the least common multiple (LCM) of 9 and 6, which is 18. Now, we'll rewrite the fractions with a common denominator of 18:
(74 / 9) = (74 / 9) × (2 / 2) = 148 / 18
(43 / 6) = (43 / 6) × (3 / 3) = 129 / 18
Now, the expression becomes:
(148 / 18) - (129 / 18)
Step 3: Subtract the fractions.
Subtract the numerators while keeping the common denominator:
(148 - 129) / 18 = 19 / 18
Step 4: Simplify (if necessary).
The result, 19/18, is an improper fraction. To convert it back to a mixed number, we find the whole number and the proper fraction part:
19 / 18 = 1 (1/18)
So, the final result is: 8 2/9 - 7 1/6 = 1 1/18.
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Regular airfare to Boston is $125 one way, but as a special discount, the fare was lowered to $105 one way. How much money will four people save altogether one way using the lower rate? ill make brainest
Answer:
$80
Step-by-step explanation:
So for this we need the cost of 4 regular tickets minus the cost of 4 discount tickets.
4(125$) = 500$
4(105$) = 420$
From here, we can find out how much is saved by the four people.
500$ - 420$ = 80$
So 80 dollars are saved by the four people.
Cheers.
what OneEnginer said
Step-by-step explanation:
use PEMDAS: please excuse my dear aunt sally
Whats 1+2+3+4+5 add them together pls
Answer:
15
*ignore this answers have to be a minimum of 20 characters.
Answer:
15
Step-by-step explanation:
1+2=3
3+3=6
6+4=10
10+5=15.
If g(x) = 3/2x + 3, and g(a) = 0, what is a ?
Answer:
a = -2
Step-by-step explanation:
g(x) = 3/2x + 3
g(a) = 0
g(a) = 3/2a +3 =0
Subtract 3 from each side
3/2a +3-3=0-3
3/2a = -3
Multiply each side by 2/3
2/3 * 3/2a = -3*2/3
a = -2
I tried different ways of doing the equation but I still didn't get a correct answer
Answer:
[tex]\huge \boxed{\mathrm{0.65 \ in^2}}[/tex]
Step-by-step explanation:
Area of square = [tex]s^2[/tex]
[tex]0.5^2 = 0.25[/tex]
Area of triangle = [tex]\frac{bh}{2}[/tex]
[tex]\frac{0.5 \times 0.4}{2}=0.1[/tex]
The surface area of the net = area of square + 4(area of triangle)
[tex]0.25+4(0.1)=0.65[/tex]
At a concert, floor tickets are $20 each, and
balcony seats are $10 each. 324 floor tickets were
sold & the box office collected $10,000. How many
balcony tickets were sold?
Answer: 352 tickets
Step-by-step explanation:
because multiplying $20 floor tickets by 324 (how many were sold) gives you 6480
subtract from 10000
gives you 3520 (amount made from balcony)
divide by $10
Step-by-step explanation:
Let No. of balcony ticket sold be x
Rate of floor ticket = $20
Rate of balcony ticket = $10
Total Box Office collection :
324 * 20 + 10 * x = $ 10,000
X = 352 tickets
to make his special drink, jerome uses 8 cups of water and 3 cups of drink mix. what is the ratio of water to drink mix?
Answer:
8:3
Step-by-step explanation:
read the question carefully
Answer:
8/3 or 8:3
Step-by-step explanation:
It says WATER to DRINK MIX. Therefore, It can't be 3:8 or 3/8. The only thing to make sense is 8/3 or 8:3
The absolute value of 11 is 11. True False
Answer:
TRUE. Absolute value of positive numbers stay positive.
Answer:
True
Step-by-step explanation:
The absolute value of a positive number would be the number itself. Because 11 is a positive number, its absolute value would be 11.
If it were a negative number, the absolute value would be the positive versions of that number. For example, if a number is -5, the absolute value of -5 would be 5.
5 less than a number is equivalent to 1 more than three times the number. what is the number
Answer:
X = -3
Step-by-step explanation:
x - 5 = 3x + 1
-6 = 2x
x = -3
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
;)
The equation formed by the information, 5 less than a number is equivalent to 1 more than three times the number is x - 5 = 3x + 1. And the number is x = -3.
What are linear equations in one variable?The simplest equation used to express and solve for an unknown quantity is a linear equation in one variable. It's simple to depict graphically since it's always a straight line. A linear equation is a simple technique to convey a mathematical proposition. Unknown quantities can be represented by any variable or symbol, however, in most cases, the unknown quantity in a linear equation in one variable is represented by the variable 'x'. A collection of basic strategies are used to solve a linear equation. To determine the final value of the unknown quantity, the variables are isolated on one side of the equation and the constants are isolated on the other side of the equation.
How do we solve the given question?We are given that 5 less than a number is equivalent to 1 more than three times the number. We are asked to determine the number.
To determine the number, we will let the unknown number be x.
We will now try to make the two equal expressions, equate them to get a linear equation in one variable, and then solve the equation to find x.
First expression: 5 less than the number, that is, x - 5
Second expression: 1 more than three times the number, that is, 3x + 1.
Both the expressions are equal, so we equate them to get our equation:
x - 5 = 3x + 1
To solve for x, we do the following steps.
1. Subtract 3x from both sides of the equation:
x - 5 - 3x = 3x + 1 - 3x
or, -2x -5 = 1 (Simplifying)
2. Add 5 to both sides of the equation:
-2x - 5 + 5 = 1 + 5
or, -2x = 6 (Simplifying)
3. Divide both sides of the equation by (-2):
-2x/(-2) = 6/(-2)
or, x = -3 (Simplifying).
∴ The equation formed by the information, 5 less than a number is equivalent to 1 more than three times the number is x - 5 = 3x + 1. And the number is x = -3.
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Write 34/9 as a decimal
Answer:
3.777...
Step-by-step explanation:
You would divide the 2 and once you get the remainder put a decimal after the divisor and keep bringing down 0 until you can divide anymore 3.777...
cost
11. There are 6 granola bars in each box. Which
expression can be used to find the number of
granola bars in a dozen boxes?
A (6 + 10) X (6+2)
B (6 X 10) + (6 X 2)
ation
C (6 + 10) + (6 + 2)
n
D (6 X 10) X 6 X 2)
Answer:
B
Step-by-step explanation:
since there are 6 bars in one box, you would multiple 6 by 12 and the answer B is just a complicated form of doing this (12 is a dozen but Baker's dozen is 13 just saying)
Consider the partial construction of a line parallel to line r through point Q. What would be the final step in the construction? Question 1 options: Draw a line through T and S Draw a line through W and S Draw a line through P and S Draw a line through Q and S
Answer:
Draw a line through Q and S
Step-by-step explanation:
I took the quiz. I hope this helps :)
Simplify these expressions:
1) 8y + 5 - 10y - 2
Answer:
here I think
Step-by-step explanation:
8y + 5 - 10y - 2 = (8y-10y)+(5-2)=-2y+3
Solve for the indicated variable 3x - y = 10; y
Answer:
y = 3x - 10
Step-by-step explanation:
Starting with 3x - y = 10, add y to both sides:
3x = 10 + y
Then subtract 10 from both sides:
3x - 10 = y
If you switch the sides of the equation, it can also be written as:
y = 3x - 10
4x+12 is greater than or equal to 4x-4
Answer:
20/:&&:/$/686th
Step-by-step explanation:
ggbnk
If f ' is continuous, f(5) = 0, and f '(5) = 7, evaluate
lim x→0
f(5 + 5x) + f(5 + 6x)
x
Correct question is;
If f ' is continuous, f(5) = 0, and f '(5) = 7, evaluate;
lim x→0 [f(5 + 5x) + f(5 + 6x)]/x
Answer:
The limit is 77
Step-by-step explanation:
Since we want to evaluate;
lim x→0 [f(5 + 5x) + f(5 + 6x)]/x
Thus, let's plug in 0 for x to get;
lim x→0 [f(5 + 5x) + f(5 + 6x)]/x = [f(5) + f(5)]/0
Since we are told that f(5) = 0, thus we now have;
[f(5) + f(5)]/0 = 0/0
Since, we have a limit of both numerator and denominator as 0,thus let's apply L'Hospital's Rule which states that: if we have an indeterminate form of 0/0 or ∞/∞, we will differentiate the numerator and differentiate the denominator and then take the limit.
Thus, applying L'Hospital's rule and using chain rule in differentiating, we have;
lim x→0 [5f'(5 + 5x) + 6f'(5 + 6x)]/1 = 5f'(5) + 6f'(5) = 11f'(5)
We are given f'(5) = 7
Thus,we now have;
11 × 7 = 77
An indeterminate form is an expression involving two functions whose limit cannot be determined solely from the limits of the individual functions.
After evaluation, [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x} =77[/tex]
Here, given that, f(5) = 0, and f '(5) = 7
We have to find,
[tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x}[/tex]
When substituting the limit x=0. We get 0/0 form which is indeterminate form.
So, Here we use L'Hospital's rule, because direct substitution of a limit yields an indeterminate form.
[tex]\lim_{x \to 0} \frac{5*f'(5+5x)+6*f'(5+6x)}{1} =\frac{5f'(5)+6f'(5)}{1}[/tex]
Substituting the value of f '(5) = 7 in above equation.
[tex]=\frac{5f'(5)+6f'(5)}{1}=\frac{(5*7)+(6*7)}{1}[/tex]
= [tex]35+42=77[/tex]
Thus, [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x} =77[/tex]
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uber has faced a host of ethics and financial challenges ever since it started in 2011. which of mintzberg's roles is most closely related to uber's senior leadership's responsibility to fix problems the company is facing?
Answer: C. disturbance handler
Step-by-step explanation:
According to Henry Mintzberg, a manager has 10 roles which can be organized into three categories being; Decisional, Interpersonal and Informational roles.
The relevant role is that of a Disturbance handler and it falls under Decisional roles.
As the Disturbance handler, a manager should take the responsibility of resolving any problems that the company runs into that is under their authority to manage. They are to mediate in the issue to resolve the problem so that it does not disrupt the operations of the business.
The senior managers of Uber should take charge and guide Uber through the financial and ethical issues they are facing as this is their responsibility as disturbance handlers.
If (x - 3) 2 = 5, then
Answer:
Step-by-step explanation:
2(x-3) = 5
Distribute.
2x - 6 = 5
Eliminate the 6.
2x = 11
Divide by 2.
x = 11/2
Answer:
[tex]\frac{11}{2}[/tex]
Step-by-step explanation:
We can use distributive property to simplify the equation, [tex]2x-6=5[/tex]. Now, we can move -6 to the right hand side. [tex]2x=11[/tex]. Finally, we can divide 2, [tex]x=\frac{11}{2}[/tex] or [tex]x = 5\frac{1}{2}[/tex]
Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. Answer the following questions. What are the values of the mean and standard deviation after converting all pulse rates of women to z scores using z = ? (x − μ) σ μ = σ = The original pulse rates are
Answer:
So we need to find the P (Z< 1.0776) which is equal to 0.86 from z- tables.
Step-by-step explanation:
Given that mean = 77.5 beats per minute
Standard deviation= s= 11.6 beats per minute
We need to find the pulse rate of randomly selected women.
Suppose randomly selected women X= 90
The test statistic used here is
z = (x − μ) /σ
Putting the values we get
z= 90- 77.5/ 11.6
z= 1.0776
So we need to find the P (Z< 1.0776) which is equal to 0.86
This is a supposed values of randomly selected women. Any other value can be solved in the same way.
A political study took a sample of 1600 voters in the town and found that 42% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 39%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
P- value = 0.0069
Step-by-step explanation:
Given that :
sample size n = 1600
The sample proportion [tex]\hat p[/tex] = 0.42
The population proportion p = 0.39
The null hypothesis and the alternative hypothesis can be expressed as:
[tex]H_o : p =0. 39[/tex]
[tex]H_1 : p >0.39[/tex]
The test statistics can be computed as follows:
[tex]Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.42 - 0.39 }{\sqrt{\dfrac{0.39(1-0.39)}{1600}}}[/tex]
[tex]Z = \dfrac{0.03 }{\sqrt{\dfrac{0.2379}{1600}}}[/tex]
[tex]Z = \dfrac{0.03 }{\sqrt{1.486875 \times 10^{-4}}}[/tex]
[tex]Z = \dfrac{0.03 }{0.0121937484}[/tex]
[tex]Z = 2.4603[/tex]
Z [tex]\simeq[/tex] 2.46
Determine the P-value of the test statistic.
The P- value = P(Z > [tex]Z_o[/tex] )
P- value = 1 - P( Z ≤ 2.46)
Using the Excel Function ( = NORMSDIST (2.46))
P- value = 1 - 0.993053
P- value = 0.006947
P- value = 0.0069 to four decimal places
The sprocket on the crankshaft of an engine power the camshaft by a chain assembly. If the engine crankshaft is turning 3250 revolutions per minute and the sprocket has a radius of 1.5 inches, to the nearest inch how many inches of chain travel past the sprocket in one minute? To the nearest foot how many feet of chain travel past the sprocket in one minute?
Answer:
30,631 inches2553 feetStep-by-step explanation:
The length of one revolution of the sprocket is ...
C = 2πr = 2π(1.5 in) = 3π in
Then the length of 3250 revolutions is ...
3250(3π in) = 30,630.53 in
About 30,631 inches of chain travel past the sprocket in one minute.
__
There are 12 inches in a foot, so the number of feet is ...
30,630.53 in/(12 in/ft) = 2552.54 ft
About 2553 feet of chain travel past in one minute.
Does anyone know this? There are 25 students names in a hat. You choose 5 names. Three are boys names and two are girls names. How many of the 25 names would you expect to be boys names?
Answer:
I would expect there to be 15 boy names and 10 girl names.
Step-by-step explanation:
There is a 3 to 2 ratio between boy and girl names, and the only numbers that add up to 25 with that ratio are 15 and 10
Which of the following is the rational exponent expression of fourth root of f?
f to the one fourth power
f4
4f
f over four
Answer:
[tex] \sqrt[4]{f} = f^{\frac{1}{4}} [/tex]
Step-by-step explanation:
Rule:
[tex] \sqrt[n]{a} = a^{\frac{1}{n}} [/tex]
This question:
[tex] \sqrt[4]{f} = f^{\frac{1}{4}} [/tex]