Answers
The full circle = 360 degrees
so x = all the full circle minus the other 3 angles
Now we sum the three angles we know [100, 46, 64]:
100 + 46 +64 = 210 degrees
Now we calculate x
x = 360 - 210 = 150 degrees
Related Questions
The GED preparation class has a teacher to student ratio of 1:12. If there are 36 students in the class, how many teachers are present?
Answers
Answer:
3
Step-by-step explanation:
Step 1: Recognize you can put 1:12 into a fraction along with 36 students with 'x' as number of teachers when you have 36 students
[tex]\frac{1}{12}[/tex]
[tex]\frac{x}{36}[/tex]
Step 2: Set the 2 fraction equal to each other
[tex]\frac{1}{12} =\frac{x}{36}[/tex]
Step 3: Cross multiple and solve for 'x'
[tex]12x=36\\x=3[/tex]
Therefore there are 3 teachers present when there are 36 students in the class
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
Answers
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]
There are three motors available to repair Ralph’s vacuum cleaner. Motor #1 has a 65% chance of breaking by the end of the week. Motor #2 has a 35% chance of breaking by the end of the week. Motor #3 has a 5% chance of breaking by the end of week. Suppose that Ralph randomly chooses one of the three motors so that each is equally likely, and then the motor does break by the end of the week. What is the conditional probability that Ralph installed motor #1?
Answers
Answer:
0.619
Step-by-step explanation:
from the question we have the following data:
probability of motor 1 breaking = 65% = 0.65
probability of motor 2 breaking = 35% = 0.35
probability of motor 3 breaking = 5% = 0.05
since we have 3 motors the probability of any of them breaking down is = [tex]\frac{1}{3}[/tex]
but what the question requires from us is the conditional probability of the first one being installed
we have to solve this questions using bayes theorem
such that:
[tex]\frac{0.65*\frac{1}{3} }{0.65*\frac{1}{3}+0.35*\frac{1}{3}+0.05*\frac{1}{3} }[/tex]
= [tex]\frac{0.2167}{0.2167+0.1167+0.0167}[/tex]
= [tex]\frac{0.2167}{0.3501}[/tex]
= 0.618966
approximately 0.619
therefore the conditional probability ralph installed the first motor is 0.619
Evaluate 8 2/9 - 7 1/6
Answers
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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Please help <3 Paula is writing short, casual notes for how to find the inverse of a function, f. Those notes are shown below. 1. Write the equation. 2. Replace f(x) with y. 3. Switch x and y. 4. Solve the equation for y. a. If the result does not define y as a function of x, then f has an inverse. b. If the result defines y as a function of x, then f does not have an inverse. 5. Change y to f^−1(x) if f has an inverse. Are Paula's notes correct? If not, identify Paula's error. (1 point) Paula's notes are incorrect. Step 2 should be "Replace f(x) with x." Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse." Paula's notes are correct. Paula's notes are incorrect. Step 4 should be "Solve the equation for x."
Answers
Answer:
(3rd listed choice) Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse."
Step-by-step explanation:
If f(y) = x can be solved for a relation for y that is a function, then f(x) has an inverse. It will be the function defined by y.
If f ' is continuous, f(5) = 0, and f '(5) = 7, evaluate
lim x→0
f(5 + 5x) + f(5 + 6x)
x
Answers
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?
Answers
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.
I tried different ways of doing the equation but I still didn't get a correct answer
Answers
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]
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
Answers
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.
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
Answers
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
Which of the following is a cash transaction? Calculating interest charges Making change Making time payments Using a credit card
Answers
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).
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)
Answers
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)
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
Answers
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
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
Answers
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.
Identify the following series as arithmetic, geometric, both, or neither. 3a + 3a² + 3a³ + . . . + 3an geometric arithmetic neither both
Answers
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.
Write 34/9 as a decimal
Answers
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...
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
Answers
Answer:
Draw a line through Q and S
Step-by-step explanation:
I took the quiz. I hope this helps :)
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.
Answers
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
Given a sample with 5 scores: 4, 6, 8, 10, and y, and the mean of this sample is 6, what is the variance of the sample
Answers
Answer:
8+10+4+6+y /5=6
find lcm which is 5
(8+10+4+6+y/5)5=(6)5
8+10+4+6+y=30
28+y=30
y=30-28
y=2
Use the discriminant to determine the number of solutions to the quadratic equation −45d2+4d−1=0.
Answers
Answer:
no real solutions
2 different complex solutions
Step-by-step explanation:
b^2 - 4ac = 4^2 - 4(-45)(-1) = 16 - 180 = -164
If g(x) = 3/2x + 3, and g(a) = 0, what is a ?
Answers
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
40 points! PLEASE HELP ASAP Find the area A of △JKL with vertices J(−4,10), K(0,3), and L(−4,−2). A= ___ square units
Answers
Answer:
24
Step-by-step explanation:
I belieive it would be 24
correct me if im incorrect
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?
Answers
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
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?
Answers
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
Answers
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.
order for least to greatest 1.2, 0.12, 12, 0.012
Answers
Answer:
is this helpful
Step-by-step explanation:
0.012,0.12,1.2,12
Answer:
0.012, 0.12, 1.2, 12
Step-by-step explanation:
Look at where the point is located to help figure out the order
A class is using base-ten block to represent numbers. A large cube represents 1000, a flat represents 100, a rod represents 10, and a little cube represents 1. Which of these is not a correct representation for 2,347?
Answers
Answer: 23 flats, 4 rods, 7 little cubes
Step-by-step explanation: 2300 + 40 + 7 = 2347
The only correct representation for 2,347 is 2 large cubes, 3 flats, 4 rods, 7 little cubes
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To represent 2,347 using base-ten blocks, we need:
2 thousands (represented by 2 large cubes)
3 hundreds (represented by 3 flats)
4 tens (represented by 4 rods)
7 ones (represented by 7 little cubes)
So we should have:
2 large cubes + 3 flats + 4 rods + 7 little cubes
Therefore, any option that does not have 2 large cubes, 3 flats, 4 rods, and 7 little cubes is not a correct representation for 2,347.
Let's check each option:
a) 2 large cubes, 3 flats, 4 rods, 7 little cubes
This is a correct representation for 2,347.
b) 3 large cubes, 4 flats, 7 rods
This represents 3,470, which is not the same as 2,347.
c) 20 hundreds, 3 tens, 4 ones
20 hundreds would be represented by 20 flats, which is not the same as the 3 flats needed to represent 300. Therefore, this option is not a correct representation for 2,347.
d) 23 hundreds, 4 tens, 7 ones
23 hundreds would be represented by 23 flats, which is not the same as the 3 flats needed to represent 300. Therefore, this option is not a correct representation for 2,347.
Therefore,
The only correct representation for 2,347 is option a), and options b), c), and d) are not correct representations.
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Solve for the indicated variable 3x - y = 10; y
Answers
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
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
Answers
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)
Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = 6t, y = 4t − 3 t = 4
Answers
Answer:
The slope of the function is ²/₃ and since the second derivative is zero, the concavity doesn't exist.
Step-by-step explanation:
Given;
x = 6t
y = 4t - 3
point t = 4
[tex]\frac{dy}{dx} = (\frac{dy}{dt} )/(\frac{dx}{dt} )=\frac{\frac{dy}{dt} }{\frac{dx}{dt}} \\\\\frac{dy}{dt} = 4; \frac{dx}{dt} = 6\\\\\frac{dy}{dx} =\frac{4}{6} = \frac{2}{3}[/tex]
The slope of the function is ²/₃
take the second derivative of the function;
the second derivative will be zero since the first derivative is a constant value.
[tex]\frac{d^2y}{dx^2} = 0[/tex]
Since the second derivative is zero, the concavity doesn't exist.