Answer:
17/8
5/4
Step-by-step explanation:
CSC= Hypotenuse over opposite
SEC= Hypotenuse over adjacent
Here is a cheat sheet.
https://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf
Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of
?
Answer:
it's wh question I think
at a university, 75%, or 1,014, of first-year students take a maths course. How many first-year students are there at the university?
A. s/1,014 = 75/100 ; 76 students
B. s/1,014 = 75/100 ; 761 students
C. 1,014/s = 75/100 ; 1,352
D. 1,014/s = 75/100 ; 714
help me pls!?
Answer:
C
Step-by-step explanation:
1014=0.75s
1014/0.75=s is the same as 1014/s=0.75
Find a formula for the sum of n terms. Use the formula to find the limit as n → [infinity]. lim n → [infinity] n 2 + i n 8 n i = 1
Complete Question
Find a formula for the sum of n terms. \(\sum\limits_{i=1}^n ( 8 + \frac{i}{n} )(\frac{2}{n} )\)
Use the formula to find the limit as \(n \to \infty\)
Answer:
\(K_n = \frac{n + 73 }{n}\)
\(\lim_{n \to \infty} K_n = 1\)
Step-by-step explanation:
So let assume that
\(K_n = \sum\limits_{i=1}^n ( 8 + \frac{i}{n} )(\frac{2}{n} )\)
=> \(K_n = \sum\limits_{i=1}^n ( \frac{16}{n} + \frac{2i}{n^2} )\)
=> \(K_n = \frac{2}{n} \sum\limits_{i=1}^n (8) + \frac{2}{n^2} \sum\limits_{i=1}^n(i)\)
Generally
\(\sum\limits_{i=1}^n (k) = \frac{1}{2} n (n + 1)\)
So
\(\sum\limits_{i=1}^n (8) = \frac{1}{2} * 8* (8 + 1)\)
\(\sum\limits_{i=1}^n (8) = 36\)
\(K_n = \frac{2}{n} \sum\limits_{i=1}^n (8) + \frac{2}{n^2} \sum\limits_{i=1}^n(i)\)
and
\(\sum\limits_{i=1}^n (i) = \frac{1}{2} n (n + 1)\)
Therefore
\(K_n = \frac{72}{n} + \frac{2}{n^2} * \frac{1}{2} n (n + 1 )\)
\(K_n = \frac{72}{n} + \frac{1}{n} (n + 1 )\)
\(K_n = \frac{72}{n} + 1 + \frac{1}{n}\)
\(K_n = \frac{72 + 1 + n }{n}\)
\(K_n = \frac{n + 73 }{n}\)
Now \(\lim_{n \to \infty} K_n = \lim_{n \to \infty} [\frac{n + 73 }{n} ]\)
=> \(\lim_{n \to \infty} [\frac{n + 73 }{n} ] = \lim_{n \to \infty} [\frac{n}{n} + \frac{73 }{n} ]\)
=> \(\lim_{n \to \infty} [\frac{n + 73 }{n} ] = \lim_{n \to \infty} [1 + \frac{73 }{n} ]\)
=> \(\lim_{n \to \infty} [\frac{n + 73 }{n} ] = \lim_{n \to \infty} [1 ] + \lim_{n \to \infty} [\frac{73 }{n} ]\)
=> \(\lim_{n \to \infty} [\frac{n + 73 }{n} ] = 1 + 0\)
Therefore
\(\lim_{n \to \infty} K_n = 1\)
The waiting time at a bus stop for the next bus to arrive is uniformly disdtributed between 0 and 20 minutes. Find the probability that the waiting time is less than 1 minute
The probability that the waiting time is less than 1 minute is found as 0.05.
Explain about the Probability density function?A probability density function (PDF) is a statistical concept that describes the relationship in between random variable and also its probability, allowing you to use the function to calculate the variable's probability.
So,
probability density function (PDF) for uniform distribution is:
f(x) = 1 / (b - a), in which x ∈ [a, b]
Let 'x' be the waiting time of bus.
[a, b] = [0, 20]
f(x) = 1 / (20 - 0)
f(x) = 1 / 20 = 0.05
Required probability:
P(x < 1) = ∫₀¹ 1 / 20 .dx
P(x < 1) = 1/20 [x]₀¹
P(x < 1) = 1/20 * (1 - 0)
P(x < 1) = 0.05
Thus, the probability that the waiting time is less than 1 minute is found as 0.05.
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Someone please help me with my math
Answer:
1. re-arrange numbers in order.
37, 38, 43, 45, 57, 57, 58
THE MEDIAN IS 45
2. To find Mean, add up all the numbers then divide by how many numbers there are.
when added together, it is 335
335 / 7
47.857
THE MEAN IS 47.857
what is the equation for x=3, y=27 pls due tomorrow ASAP
A rectangular piece of paper with length 34cm and width 14cm has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Answer:
Step-by-step explanation:
322.14 cm²
Help please! Thank you! :)
Answer:
a. \( A\cap B=\{6, 11\}\)
Step-by-step explanation:
U = {3, 4, 6, 7, 9, 11, 12, 15}
A = {3, 6, 11, 12}
B = {6, 7, 11, 15}
Since, 6 and 11 are common elements in sets A and B. Therefore ,
\( A\cap B=\{6, 11\}\)
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the range, variance, and standard deviation. If another value, 7.50, is added to those listed in the data set, do the measures of variation change much?3.28
2.78.
2.20
2.76
2.47
2.70
3.62
2.84
2.78
3.29
1.76
4.65
3.23
2.35
2.00
3.90
2.41
2.90
2.65
2.30
2.82
2.79
2.42
3.42
2.32
1.49
2.41
2.46
2.46
2.67
2.42
2.79
2.66
2.73
2.44
2.82
1.96
1.69
2.54
2.44
3.42
3.94
1.61
2.86
1.61
2.58
3.97
2.48
2.44
1.81
2.19
2.43
3.01
2.93
2.34
2.01
3.02
2.77
3.83
2.93
2.09
1.83
2.36
2.38
3.48
3.45
1.55
2.52
1.48
2.22
3.08
2.27
3.25
1.99
1.90
2.39
2.96
2.56
1.50
2.17
2.33
1.91
2.72
2.92
1.82
3.61
2.71
1.43
3.59
3.15
2.55
1.52
1.42
2.84
2.84
2.17
1.67
3.19
1.39
1.71
2.39
1.13
2.33
2.46
1.79
1.98
3.00
1.92
2.44
1.85
2.25
2.34
3.19
4.00
2.09
1.49
2.31
2.30
2.56
2.54
Answer:
2.90
Step-by-step explanation:
im not completly shous though
how many inches would represent 315 miles
Answer: 19,958,400
Step-by-step explanation: Multiply the length value by 63360.
315 x 63,360 = 19,958,400
find the mean of the first five integers
first 5 positive integers :
\(1 \: , \: 2 \: , \: 3 \: , \: 4 \: , \: 5\)
mean :
\(1+2+3+4+5+5\)
\(mean = \: 15÷5 \)
\(mean = \: 3\)
Mean = 3
Explanation -:-To find- Mean of first five integers
Answer-
\(Mean = \frac{sum \: of \: observations}{number \: of \: observations}\)
\( = >mean = \frac{1 + 2 + 3 + 4 + 5}{5} \)
\( = > mean = \frac{15}{5} \)
\( = > mean = 3\)
~ Benjemin360
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
Find the mean, median, and interquartile for the date set below
17,23,8,5,9,16,22,11,13,15,17,18
Step-by-step explanation:
couldn't do interquartile but I hope this helps
While digging in his garden. Tyri pushes a shovel into the ground with a force of 630 newtons at an angle of 70° with the ground. Which diagram shows the resolution of the force Tyri exerts into its rectangular components?
The resolution of the given force applied to the shovel is: A vertical force of 592 NA horizontal force of 215.47 N
How to find the components of the force?The components of a force represent the combined vertical and horizontal forces that combine to make the resultant force. Components are two vectors that add up to the given vector which are perpendicular to each other.
Now, when we apply a force F to an object at an angle θ, it can be said that the resolution of the forces is:
In the horizontal direction: F_x = F * cos θIn the vertical direction: F_y = F * sin θTyri pushes a shovel into the ground with a force of 630 newtons at an angle of 70° with the ground.
Thus, the diagram that shows the resolution of the forces is:
A vertical line showing a force of 630 * sin 70 = 592 N
A horizontal line showing a force of 630 * cos 70 = 215.47 N
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Help please I’m almost done also I’ll mark brainliest
Answer:
this is a ratio of 4 inches:5 feet.
if one side becomes 30 feet, means that other one is also multiplied by 6.
4 * 6 = 24 or A
pls mark as brainliest
Step-by-step explanation:
Which expression is represented by the model shown below?
brit of beau ad noo noiz
Srodeq nislame
Answer:
4*9
Step-by-step explanation:
It's obvious.
Their total bill is $356.88. If they pay $220 in cash and charge the remainder, how much will they charge?
Answer:
$136.88
Step-by-step explanation:
$356.99
-$220.00
________
$136.88
Therefore that would be the remainder.
Hope this helped : )
Answer:
They will charge $136.88
Step-by-step explanation:
Elizabeth is correct.
Findinf the remainder in this situation means finding the difference (subtraction)
356.88 - 220 = 136.88
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 61% C: Scores below the top 39% and above the bottom 21% D: Scores below the top 79% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 67.7 and a standard deviation of 7.8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer:
The minimum score required for an A grade is 77.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 67.7, \sigma = 7.8\)
Find the minimum score required for an A grade.
Top 12% of scores get an A.
100-12 = 88th percentile.
The 88th percentile of scores is the minimum required for an A grade. This score is X when Z has a pvalue of 0.88. So X when Z = 1.175.
\(Z = \frac{X - \mu}{\sigma}\)
\(1.175 = \frac{X - 67.7}{7.8}\)
\(X - 67.7 = 7.8*1.175\)
\(X = 76.865\)
Rounding to the nearest whole number:
The minimum score required for an A grade is 77.
19,20,21 are all one question . I just need help with those
the first distribution is symmetric and has a bell shape. And the second one is skewed to the right
Match the following research designs to the appropriate inferential statistic Group of answer choices Predictor: categorical with 4 levels; Outcome: categorical with 2 levels [ Choose ] Predictor: categorical with 2 levels; Outcome: continuous [ Choose ] Predictor: continuous; Outcome: continuous [ Choose ] Predictor: categorical with 4 levels; Outcome: continuous
Answer:
Chisquare test
t - test
Correlation
ANOVA, F ratio.
Step-by-step explanation:
The Chisquare test is suitable for testing categorical variables with factors levels more than 3.
The t test of independence is suitable for testing continous variable, however re we use the two independent sample t test.
Correlation test is used to examine the relationship between two continous variable, cannot be used for categorical variables.
Analysis of Variance is use to test categorical variables with at lead three factor levels. The F ratio allows measurement and establishing of statistical significance exists between variables.
suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, state the range in which at least 75% of the data will reside. please do not round your answers.
At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.
A delivery has at least 89% of its values inside of three of the mean's standard deviation.
We have the following in this problem:
Mean = $3.53
$0.14 is the standard deviation.
Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.
2 standard deviations from the mean.
So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.
At least 75% of the data might very well fall between $3.25 and $3.81.
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150 is 40% of what number
Step-by-step explanation:
hope it helps youu.........
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates
slope: 7/9
ordered pair: (0,-8/9)
the general equation of a straight line is y=mx+c
m is the slope and is given 7/9 we can plug in the point to get c.
now we wil have
\( \frac{ -8 }{9} = \frac{7}{9} (0) + c \\ c = \frac{ - 8}{9} \)
\(y = \frac{7}{9} x - \frac{ 8}{9} \)
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 2 million barrels of oil in the well; six years later 1,000,000 barrels remain.
Required:
a. At what rate was the amount of oil in the well decreasing when there were 1,200,000 barrels remaining?
b. When will there be 100,000 barrels remaining?
Answer:
A. It was decreasing by -138,629.44 barrels
B. 26 years of time
Step-by-step explanation:
Due to the length of this question solution, I was unable to type it. The answer is contained in the attachment.
A. At 1200000
Bt = 1200000
-1/6ln2 x 1200000
Solve this using a calculator
= -138,629.4361
So the amount of oil is decreasing by -138,629.44 barrels
Which expression is equal to 7 times the sum of a number and 4
Answer:
7(n + 4)
Step-by-step explanation:
Represent the number by n. Then the verbal expression becomes
7(n + 4).
A girl has 98 beads, and all but 14 were lost. how many beads did she loose?
Answer:
84 beads
Step-by-step explanation:
She had 98 beads and lost all but fourteen. So it would be 98 - 14 which would get you 84 beads that the girl has lost
Help me please (I need write more something in order to I can submit answer)
Answer:
The answer is 4
Step-by-step explanation:
(-2.4)(10) / -3(2)
-24/-6
=4
Answer:
The answer will be 4! Hope this helps
How can I trust your guys
Answer:
Step-by-step explanation:
you just do, everyone in here needs help so i dont think theres people in here just messing arround, you can trust.
Answer:
because we are amazing as always.
Step-by-step explanation:
Please dont do this or i will report u.
bye
i need pointsasdfghjklkjhgfdsasdfgh
Answer:
????
Merry Christmas
Happy Holidays
Leila and Jo are two partners in a business. Leila makes $2 in profits for every $3 that Jo makes. If Jo makes $18 profit on the first item they sell, how much profit does Leila make?
Answer:
I think the answer is 12
Step-by-step explanation:
Because Jo made $3 6 times so you multiply that by what Lelia makes. So 2 x 6 = 12?