Answer:
65 1/3 or 196/3
Step-by-step explanation:
Prove that
sinAtanA/1-cosA
= 1 + SECA
Answer:
The proof is done in the step-by-step explanation below.
Step-by-step explanation:
We are given the following identity:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]
And we have to show that this is equals to:
[tex]1 + \sec{A}[/tex]
Multiplying numerator and denominator by the conjugate of the denominator:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]
[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]
We use these following identities:
[tex]\sin^2{A} + \cos^2{A} = 1[/tex]
So
[tex]1 - \cos^2{A} = \sin^2{A}[/tex]
Also:
[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]
Then
[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + 1[/tex]
Since:
[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]
We have that:
[tex]1 + \sec{A}[/tex]
Thus, the proof is done.
101 is 11% of what?
Answer:
11.11
Step-by-step explanation:
Answer:
918.18
Step-by-step explanation:Formula = Number x 100
Percent = 101 x 100
11 = 918.18
Following shows the steps on how to derive this formula
Step 1: If 11% of a number is 101, then what is 100% of that number? Setup the equation.
101
11% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
11Y = 101 x 100
11Y = 10100
Y = 10100
100 = 918.18
Factor the following trinomial: x2 + 8x + 15.
Answer:
(x + 3) (x + 5)
Can someone please help me !!
Answer:
A
Step-by-step explanation:
7 - (-7/5) x 5 =
7 - (-7) =
7 + 7 = 14
Hope that helps!
A line includes the points (–8, –2) and (–4, –3). What is its equation in slope-intercept form?
Answer:
y=mx+b
Step-by-step explanation:
m=slope
b=y-intersept
in fractions we have to multiply 25 to get a hundred what do we do
Answer:
muliply 25 by 4
Step-by-step explanation:
25×4 =100
Answer:
*4
X 4
times it by 4
Step by step explanation:
25 + 25 + 25 + 25 = 100
therefore you added 25 four times so your answer is X by 4
Let (12,-5) be a point on the terminal side of an angle 0. Find the values of sin e, cose, and tan
Answer:
Sin = -5/13
Cos = 12/13
Tan = -5/12
Step-by-step explanation:
5. 16^0 = * please i need help and i need the answer today not trying to rush but please thanx
Answer: 1
Step-by-step explanation:
16⁰ = 1
Anything to the power of zero is 1.
The TSA Is using an experimental computer to randomly select airline passengers for additional screening. Each person has a 0.7% chance of being selected. They test the new computer until 10 passengers are chosen for the additional screening, and then they remove it. Let the random variable be the number of passengers who pass through security until 10 are stopped for additional screening.
Is the number of passengers who pass through security in this time a binomial random variable?
Select all that apply
A. Yes. All four conditions are met.
B. No. There is not a fixed number of trials
C. No. The trials cannot reasonably be assumed to be independent.
D. No. The outcomes cannot be described as only "success" and-failure."
E. No. The probability of success is not the same for each trial
Answer:
B. No. There is not a fixed number of trials
Step-by-step explanation:
Binomial random variable:
Can only have two outcomes(yes/no questions).
Each trial must be independent, that is, the probability of a success is always the same in a trial, and the number of trials is fixed.
It's probabilities must be between 0 and 1.
Is the number of passengers who pass through security in this time a binomial random variable?
For each person, there are only two possible outcomes. Either they are screened, or not. However, we don't want to know the number of people screened, which is binomial, we want to know the number of people until 10 are screened, which is inverse binomial. So, since there is not a fixed number of trials, this is not binomial, and the answer is given by option B.
calcular
a. [1/3+4] =
b. [8-15+4]=
c. 4-√81/ √36=
Answer:
a. 1/7
b. -3
c. -50
Lily and Matthew are walking from home to school. Matthew has to return a library book on the way and follows the sidewalk. Lily walks directly to school. Assume the path they take forms a right triangle. Use the lengths in the diagram to determine how far Lily walks. Round your answer to the nearest tenth of a mile. Show your work and explain how you determined your answer. 20 points btw
For the function N(y)=-3y-7, evaluate N(1)
Answer:
N(1) = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
N(y) = -3y - 7
N(1) is y = 1
Step 2: Evaluate
Substitute in y [Function]: N(1) = -3(1) - 7[Function] Multiply: N(1) = -3 - 7[Function] Subtract: N(1) = -10Please help due tonight will give good review and brainliest!
Answer:
True
Not true
true
True
Step-by-step explanation:
which equation could have been used to create this table
Answer:
what table? there is no picture attached or answer choices.
Step-by-step explanation:
What is the solution to this inequality?
7x+18>−3
A. x < 3
B. x > 3
C. x < −3
D. x > −3
Answer:
the answer is D
Step-by-step explanation:
Answer:
[tex] \huge \boxed{ \boxed{\mathbb{D)}x > - 3}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:inequalityPEMDASgiven:7x+18>-3to solvexlet's solve:substract 18 from both sides: 7x+18-18>-3-18=>7x>-21since we are dividing -21 by positive 7 therefore the inequality won't change 7x/7>-21/7=>x>-3find the value of X.20,40,x
Step-by-step explanation:
267:(;»«=:3688865)):;(645789
Help asap, I will give brainliest.
Answer:
-3 ?? i think this is correct
Step-by-step explanation:
i did 3x-1
What is the value of y? y = Find the following angle measures. mAngleJKM = ° mAngleMKL = °
And are we all struggling in geometry and super stressed out and behind or is it just me
Answer:
What is the value of y?
y = ✔ 10
mAngleJKM = ✔ 106°
mAngleMKL = ✔ 74°
Step-by-step explanation:
Answer:
1: 10 2: 106 3: 74
Step-by-step explanation:
Find all the zeros of the equation.
-x^3-x^2=11x+11
Answer:
x= -1 , i(sqrt11) , -i(sqrt11)
Step-by-step explanation:
subtract 11x from both sides
-x^3 - x^2 - 11x = 11
subtract 11 from both sides
-x^3 - x^2 - 11x - 11 = 0
Factor the left side of the equation
- (x - 1)(x^2 + 11) = 0
Set both factors to zero and solve for x
x + 1 = 0 x^2 + 11 = 0
-1 -11
x^2 = -11
x = -1 x = +/- i(sqrt11)
you are a beginner cyclist, so you typically ride at a speed of 12 miles per hour. your friend who has more experience and training with cycling rides at a speed of 16 miles per hour. one day you two decide to race, but because you are less experienced, your friend tells you that they will give you a three minute head start on the race.
how far can you ride before your friend catches up to you? write the system for this problem.
Answer:
Answer given below
Step-by-step explanation:
36, 48, 60....
16, 32, 48...
48 common in both.
Both will meet at 48 miles
So answer is 48 miles
A survey asked respondents whether they prefer grape or orange soda, and whether they prefer soda with sugar or sweetener. The results of the survey are shown in the two-way frequency table. Grape soda Orange soda Sugar 0.36 0.42 Sweetener 0.13 0.09 What percent of the respondents prefer orange soda? Enter your answer in the box. %
Answer:
what it is language
Step-by-step explanation:
Answer:
51%
Step-by-step explanation:
the answer is the answer because it's the answer (ФДФ)
A pastry bag full of frosting forms a cone with the dimensions shown. Find the volume of frosting in the pastry bag.
Answer:
kajhfsdbbcbb,bnmcxbvljhhjw eutiugvawgygewfcufbuicmauigpuygpvghsfBgeilvlhkdb;bwgvPWIHITVNUAHUEIGEOYUGE8GPUWIEHOIgorucrugc t rueagurwWUGHCRWGCugpgpuyGPGCPGUGGUyguUYFUYGUOYUOYGOUYGOFUGIcefgyxsnjdfryugvouscbaknqpiuvhrwklemfnvvvvvvvr4uhui4jqkwserupwehdnjqhbgiwebduudirbgdqfwaiqjnweisdkrfmtguiwdnnnnnnnnnnnnnnerijjjjjjj
Step-by-step explanation:
What is the solution of x = 2 + StartRoot x minus 2 EndRoot?
Answer:
x= 2 or x=3
Step-by-step explanation:
Both satisfy the equation. I hope this helped.
Answer:
x=2 or x=3
Step-by-step explanation:
just took the test it is C
Calculate what is 365 {365- (365: (365+365)}}?
Step-by-step explanation:
365{365-(365:(365+365)}}
= 365{365-(365:730)}
= 365{365-0.5}
= 365{364.5}
= 133,042.5
Smoking males in a given area have a mean life expectancy of 68.5 years, with a standard deviation of 5.3 years. The distribution of life expectancy is not assumed to be symmetric.
Between what two life expectancies does Chebyshev's Theorem guarantee that we will find at least 89% of smoking males?
Round your answers to the nearest tenth. Enter the bounds in ascending order.
Answer:
52.6, 84.4
Step-by-step explanation:
Chebyshev's Theorem guarantee that we will find at least 89% of smoking males in the life expectancy range [52.6, 84.4].
What is Chebyshev's inequality?In probability theory, Chebyshev’s inequality guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean.
Let X be a random variable with mean μ with a finite variance σ², then for any real number k > 0, P(|X-μ| < kσ) ≥ 1-1/k².
Given,
Mean life expectancy = μ = 68.5 years
Standard deviation = σ = 5.3 years
P(|X-μ| < kσ) ≥ 1-1/k²
P(|X-68.5| < 5.3k) ≥ 1-1/k²
P(|X-68.5| < 5.3k) ≥ 0.89
[tex]1 - \frac{1}{k^{2} } = 0.89[/tex]
[tex]\frac{1}{k^{2} } = 0.11\\ \\\frac{1}{k^{2} } = \frac{1}{9} \\\\k = 3[/tex]
Between the following two life expectancies does Chebyshev's Theorem guarantee that we will find at least 89% of smoking males:
= [μ - 3σ, μ + 3σ]
= [68.5 - 3*5.3, 68.5 + 3*5.3]
= [52.6, 84.4]
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a toy company is going to issue new ID codes to its employees.Each codes will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used. Assume that the digits can be repeated.. How many employee ID codes can be generated
Answer:
851,968
Step-by-step explanation:
26*8*8*8*8*8= 851,968
From the combination of codes, 851,968 employee ID codes can be generated.
Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Required number of codes = 26 * 8 * 8 * 8 * 8 * 8
= 851,968
Thus, from the combination of codes, 851,968 employee ID codes can be generated.
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Complete the table to show an equivalent ratio where the total amount is 100 grams.
Answer:32
Step-by-step explanation:
i did it, just multiply by 4
The percent of 32% of her daily amount of fiber, she has at breakfast.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Keesha keeps track of the fiber she eats to make sure she gets enough each day.
Her breakfast contains 8 grams of fiber, and her recommended daily amount is 25 grams per day.
Keesha wants to know what percent of her daily amount of fiber she has at breakfast.
The table to show an equivalent ratio where the total amount is 100 grams.
Let n be the required value.
That means,
8/25 = n/100
n = 800/25
n = 32
Therefore, her daily amount of fiber is 32%.
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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : Suppose a sample of 768 new car buyers is drawn. Of those sampled, 192 preferred foreign over domestic cars. Using the data, construct the 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places.
Answer:
The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 768 new car buyers is drawn. Of those sampled, 192 preferred foreign over domestic cars.
This means that [tex]n = 768, \pi = \frac{192}{768} = 0.25[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.95[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.25 - 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.23[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.25 + 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.27[/tex]
The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).
The graph of Fx), shown below, has the same shape as the graph of
G(x) = x, but it is shifted up 1 unit. What is its equation?
5+
F(x) =
Step-by-step explanation:
step 1. shifting f(x) up by one simply adds 1 to f(x).
step 2. if g(x) = x^2 then f(x) = x^2 + 1.
The equation of the function f(x) is f(x) = x²+1
What is a function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given is a function g(x) = x², and a function f(x) which have the same graph as the function g(x) = x², but it is shifted up 1 unit, we need to find the equation of the function f(x),
we are given that, it is shifted up 1 unit, that mean it has horizontal shift,
Rule for horizontal shift =
k(x) = k(x) + a [for upwards]
So, horizontal shift of 1 = g(x)+1
Therefore, f(x) = g(x)+1
or, f(x) = x²+1
Hence, the equation of the function f(x) is f(x) = x²+1
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Please help ASAP. Thanks so much.
Answer:
B. 3
Step-by-step explanation:
To find the value of c, substitute the x and y values of the given point into x and y of the equation, then isolate c. Since that given point is (2,5), substitute 2 for x and 5 for y:
[tex](5) = -2(2)^2+8(2)-c\\5 = -2(4)+16-c\\5 = -8 + 16 - c \\5 = 8 -c\\-3 = -c\\c = 3[/tex]
Thus, c = 3.
