Answer:
Step-by-step explanation:
d = 277/tan12 = 1,303.1825... m = 1.3 km
The nearest tenth of a foot, the distance from the town to the base of the cliff is approximately 1337.3 feet.
The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
The angle of depression is 12 degrees, and the side opposite the angle is the height of the cliff (277 feet), while the side adjacent to the angle is the distance from the town to the base of the cliff (which we want to find).
Let's denote the distance from the town to the base of the cliff as "d."
The tangent of the angle of depression is given by:
tan(12°) = opposite / adjacent
tan(12°) = 277 / d
Now, solve for "d":
d = 277 / tan(12°)
Using a calculator:
d ≈ 1337.25 feet
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. एक श्रोताकक्ष की लम्बाई तथा चौड़ाई का अनुपात 3 : 2 है. यदि छत का क्षेत्रफल 600 वर्ग मीटर तथा चार दीवारों (d) 2200 वर्ग मा० का क्षेत्रफल 1500 वर्ग मीटर हो, तो इस कक्ष की ऊँचाई कितनी है ?
Answer:
.
Step-by-step explanation:
Answer: 2 है यदि छत का क्षेत्रफल 600 वर्ग मीटर तथा चार दीवारों का क्षेत्रफल 1500 वर्ग मीटर हो तो
Step-by-step explanation:
Which of the following is a solution to the given equation? y = -3x - 7
Answer:y = 3(-2) - 7
Step-by-step explanation:
PLEASE HELP ME!!! ASAP SHOW YOUR WORK!!! Given cos x =√15/4 and 90°< x 180°, find the exact value for cos 2x
Answer:
x=34 because you simplify it and then take 45 and at it to it
Solve the equation 3/4-4x+7/2=-9x+5/6 show work
Answer: For this equation, the value of x is - 2/3.
Step-by-step explanation:
1. Resolving the equation 2/3-4x+7/2=-9x+5/6
-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)
5x = (5/6 - 4/6 -21/6)
5x = -20/6
x = - 20/6 /5 (Dividing by 5 at both sides)
x = -20/6 * 1/5
x = -4/6 = - 2/3 (Simplifying)
2. Proof of replacing x by -2/3
2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6
2/3 + 8/3 + 7/2 = 18/3 + 5/6
10/3 + 7/2 = 6 + 5/6
20 + 21 = 36 + 5 (Multiplying by 6 at both sides)
41 = 41
It means the value of -2/3 for x is correct
Answer:
[tex]x=-\frac{41}{60}[/tex]
Step-by-step explanation:
[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]
[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]
Don't forget the - in front of the answer
A random sample of 500 registered voters from one state was obtained. The party affiliation and sex of each voter was recorded and is listed in the following table. (Follow standard statistical rounding rules for all computations.)
a) A journalist who writes for a statewide newspaper wants to construct a confidence interval for the true proportion of registered voters that are affiliated with Party X. Verify that all requirements for constructing such a confidence interval are met.
b) Construct a 99% confidence interval for the true proportion of registered voters that are affiliated with Party X. Show all work. (Hint: the critical value, the margin of error, p, q, the computation, etc.)
c) The Governor of the state believes that a majority of all registered voters in the state are affiliated with Party X because the confidence interval includes values greater than 50% Does the data in the table support the Governor’s belief? Justify your answer.
Using the z-distribution, it is found that:
a) There are more than 10 successes and 10 failures in the sample, hence the conditions are met.
b) The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).
c) Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.
Item a:
The requirement is that there are at least 10 successes and 10 failures in the sample.
244 out of 500 voters are affiliated with party X, hence 500 - 244 = 256 are not, meaning that there are more than 10 successes and 10 failures in the sample, hence the conditions are met.
Item b:
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]\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 z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
244 out of 500 voters are affiliated with party X, hence:
[tex]n = 500, \pi = \frac{244}{500} = 0.488[/tex]
99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.43[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.546[/tex]
The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).
Item c:
Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.
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Someone pls help me on this! ASAP pls I’ll mark you as a brainliest.
Answer:
almonds are worth 50 cents per ounce
peanuts are worth 25 cents per ounce
almonds are worth more per ounce
Step-by-step explanation:
I just divided 50 cents by 2 to get the cost per ounce of the peanuts, and I plugged 1 into the x in the equation that was given for almonds
Answer:
Almonds=50 cents per ounce
peanuts are 25 cents per ounce
-17/2 < -1/2 - 4x ≤ 15/2
Please help helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Given info: -17/2 < (-1/2) - 4x ≤ 15/2
Find the value of x ?
Explanation:↓
Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2
⇛ -17/2 < (-1-8x)/2 ≤ 15/2
On multiplying with 2 then
⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)
⇛ -17 < -1-8x ≤ 15
On adding 1 in the in-equation then
⇛ -17+1 < -1-8x+1 ≤ 15+1
⇛ -16 < -8x ≤ 16
On dividing by 8 in the in-equation then
⇛ -16/8 < -8x/8 ≤ 16/8
⇛ -2 < -x ≤ 2
⇛ 2 > x ≥ - 2
⇛ -2 ≤ x < 2
⇛ x € [-2,2)
Answer:→The solution set = { x : -2 ≤ x < 2, x€R }
The possible values of x = -2,-1,0,1
If you have any doubt, then you can ask me in the comments.
Simplify.
3 √ b^2
-.2√x^2
Answer:
[tex]1.3 \sqrt{b {}^{2} } [/tex]
Pull terms out from under the radical, assuming positive real numbers.
[tex]3b[/tex]
[tex]2. - 2 \sqrt{x {}^{2} } [/tex]
Pull terms out from under the radical, assuming positive real numbers.
[tex] - 2x[/tex]
paki sagot po kailangan na kasi..
thank you in advance ☺
1. 5
2.2
3.2,5
4.2,5
5.2
HOPE IT HELPS:)
PLS FOLLOW:)
#BRAINLIEST:)
6/4 on a number line
Answer:
Here plz leave review thx
Step-by-step explanation:
Find the simplified product. 5/n+1 times n+1/n+3
[tex]\left(\dfrac{5}{n+1}\right) \left( \dfrac{n+1}{n+3} \right)\\\\\\=\dfrac{5(n+1)}{(n+1)(n+3)} \\\\\\=\dfrac{5}{n+3}[/tex]
1. The following sets of data shows the mean marks of 43 interviewees from a certain job interview that was conducted by a HR Consulting Firm in Mombasa: 23, 45, 79, 15, 47, 64, 33, 26, 34, 46, 31, 29, 49, 25, 45, 43, 39, 45, 22, 26, 28, 36, 42 Using the concept of sampling distribution, what sample size will give at least a 0.95 probability that the sample mean is greater than $8 of the population mean?
Using the Central Limit Theorem, it is found that a sample size of 13 is needed.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].For this problem, using a calculator:
The mean is [tex]\mu = 37.9[/tex]The standard deviation is [tex]\sigma = 14.07[/tex]The sample size needed is n when [tex]s = 4[/tex], as by the Empirical Rule, 95% of the measures are within 2 standard errors of the mean, hence [tex]2s = 8 \rightarrow s = 4[/tex]
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
[tex]4 = \frac{14.07}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 14.07[/tex]
[tex]\sqrt{n} = \frac{14.07}{4}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{14.07}{4}\right)^2[/tex]
[tex]n = 12.37[/tex]
Rounding up, a sample size of 13 is needed.
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Use the table below to answer the following question,
2:
хо 1 2 3 4 5 6
y 100 200 400 800 1,600 3,200 6,400
Which equation BEST fits the data given in the table?
se 3:
Of(x) = { (200)*
Of(x) = 100(2)*
uge 4
f(x) = 200)
age 5
Of(x) = 200(2)*
5
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Answer:
I don't know answer what is
What is the next number in the pattern?
9 4 7
—, —, — . . .
10 5 10
Answer:
3/5
The nth term of an AP = a + d(n -1)
By the looks of it, the next term in the sequence is the 4th term.
a = 9/10
d = 4/5 - 9/10 = -1/10
9/10 - 1/10(4 - 1) = 9/10 - 1/10(3)
9/10 - 3/10 = 6/10
3/5
Is 1.05 greater than or less than 1.3
The larger number is obtained as 1.3.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given decimal numbers are 1.05 and 1.3.
The decimal 1.3 can be written as 1.30.
Now, the two decimals can be compared as below,
1.05 and 1.30
Both the decimals have equal integer part.
Digit at tenths of 1.05 is 0 and for 1.30 is 3.
Since, 3 > 0.
⇒ 1.30 > 1.05
Hence, 1.3 is greater than 1.05.
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what is the point slope form?
Answer:
2
Step-by-step explanation:
Simplify the expression
( 3n • 2n^3)^2
Answer:
[tex] \large\color{red}{ \tt{36n⁸}}[/tex]
Step-by-step explanation:
[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]
Multiply 3 and 2 to get 6.[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]
Expand (6n⁴)².[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]
To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]
Calculate 6 to the power of 2 and get 36.[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]
Hope It's Help
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with
the same number of each fruit in each basket. What is the greatest number of fruit
baskets he can make? How many of each type of fruit will be in the baskets?
Answer:
3 baskets and 6 oranges, 9 pears, 4 bananas
Step-by-step explanation:
the common denominator is 3
please help asap and please give real answers
Answer:
x = 2, x = - 5
Step-by-step explanation:
To factor it, you can split the middle term to get:
x² - 2x + 5x - 10 = 0
Then, you can factor the first two and the last two to get:
x (x - 2) + 5(x - 2) = 0
And if you divide both sides by (x - 2) you get:
(x - 2) (x + 5) = 0
Finally, this can be solved by the Zero Product Property which states that if x*y=0, then x and/or y has to be equal to 0. If you apply it to the eqaution you get:
x - 2 = 0, x + 5 = 0
which results in:
x = 2, x = - 5
please help :,) it’s due tomorrow and i’m so confused
Answer:
I can't see the file or I can't open the file
Step-by-step explanation:
What is the total number of possible four-card poker hands if the hand contains exactly one heart?
Answer:
Step-by-step explanation:
Assuming no wild cards ie. 52 card deck.
13 ways to fill the heart card
39 ways to fill the second card
38 ways to fill the third card
37 ways to fill the fourth card
13(39)(38)(37) = 712,842
Find the slope of the line passing through the points (-4, 7) and (-2, 2)
Answer:
-5/2
Step-by-step explanation: 2 - 7 = -5 so that is your numerator and -2+ 4=2 is your denomonitaor.
Find an equation of the line drawn below.
Answer:
y = -2x +4
Step by step explanation:
y = -2x +4
Hello, hope you are having a splendid day.
First, we should calculate the slope of the line (Rise/Run)
The rise is how many units we move up or down; the run is how many units we move left or right.
Here, we move down 2 and over 1, so the slope is -2
Now, the y-intercept is where the graph touches the y-axis.
Here, the y-intercept is 4.
Our equation looks lke so:
y=-2x+4
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others on Brainly :)
[tex]MagicalNature[/tex]
Good luck.
A box has 10 red, 5 blue and 5 yellow balls. Draw 6 balls one by one with replacement. Then calculate the probability that
Answer:
I would say its a 16.5 %
Step-by-step explanation:
9.3 of sugar is need for every cake made how much sugar is needed for 6 cakes
Answer:
484836281726261919292762
Answer:
55.8
Step-by-step explanation:
if 1 cake needs 9.3, 6 cakes would need (6*9.3)
9.3 * 6 = 55.8
4. A) Joe types 200 words in 12 minutes, how many does he type per minute?
Answer:
Step-by-step explanation:
So, we divide 1200 by 25 to find out how many words per minute he types.
1200 / 25 = 48
So, he types 48 words per minute.
Now, we multiply this by 45 to find out how many words he can type in 45 minutes.
48 x 45 = 2,160
Joseph can type 2,160 words in 45 minutes!
Questions
Fine the area of the triangle whose vertices are (-2,2), (1,-2) and (0,2).
Answer:
a) 16
b) 8
c) 4
d) 2
Answer:
The answer to this is c) 4.
what is mixed number
help me pleas
Answer:
A mixed number is a number with both a whole number and a fraction. For example 6 3/4, 2 1/2, 7 8/15. Hope this helped:)
Answer:
A mixed number is a number consisting of a whole number and a proper fraction.
Below are examples of mixed numbers:
[tex]4 \frac{1}{2}[/tex]
[tex]1 \frac{3}{5} [/tex]
Suppose that we compute a 90% confidence interval for an unknown population mean . Which of the following is a correct interpretation?
90% of all possible
a ratio is a comparison between two or more numbers or quantities
a. True
b. False