Answers
Answer:
Option B, 34 degrees
Step-by-step explanation:
Tan(x) = 4/6
x = Tan⁻¹(4/6)
x = 33.7, which is closest to 34 degrees if rounded, therefore; x = 34 degrees
Hope this helps!
Related Questions
What’s the answer to 2 + 6 = ?
I don’t care what you say, this is just get one of you a Brainliest.
Answers
2+6 is 8
(It says I need 20 characters to make an answer so Im just writing this down)
Question is on the picture
Answers
By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.
What is equation?In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion \("2x + 3 = 9"\) states that the word \("2x + 3"\) Corresponds to the number "9".
The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.
For example, in the equations \("x2 + 2x - 3 = 0\) ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.
Abby, according to the picture, spent:
She spends 25% of her time in school.
She spends 40% of her time at work and 15% of her time on other hobbies.
Therefore, Furthermore, she spends \(20\) of her time napping.
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For many important processes that occur in the body, direct measurement of characteristics of the process is not possible. In many cases, however, we can measure a biomarker, a biochemical substance that is relatively easy to measure and is associated with the process of interest. Bone turnover is the net effect of two processes: the breaking down of old bone, called resorption, and the building of new bone, called formation. A biomarker for bone formation measured was osteocalcin (OC), measured in the blood. The units are nanograms per milliliter (ng/ml). For the 31 subjects in the study the mean was 33.4 ng/ml. Assume that the standard deviation is known to be 19.6 ng/ml.
Required:
Give the margin of error and find a 95% confidence interval for the mean TRAP amount in young women represented by this sample.
Answers
Answer:
The margin of error is \(E = 6.9 \)
The 95% confidence interval is \( 26.5 < \mu < 40.3 \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 31
The mean is \(\mu = 33.4 \ ng/ml\)
The standard deviation is \(\sigma = 19.6 \ ng/ml\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 1.96 * \frac{19.6 }{\sqrt{31 } }\)
=> \(E = 6.9 \)
Generally 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \=x +E\)
=> \( 33.4 - 6.9 < \mu < 33.4 + 6.9 \)
=> \( 26.5 < \mu < 40.3 \)
Twenty years ago, 51% of parents of children in high school felt it was a
serious problem that high school students were not being taught
enough math and science. A recent survey found that 232 of 700
parents of children in high school felt it was a serious problem that high
school students were not being taught enough math and science. Do
parents feel differently today than they did twenty years ago? Use the
α = 0.1 level of significance
Answers
No the parents do not feel differently as they used to feel twenty years ago
Given :-
Po: p=0.46
Pa: p NE 0.46
alpha=0.01
Test statistic is one sample proportion \(z=(phat-p)/\sqrt{{ {0.46)(0.54)/800}}\)
Critical value z> |2.576|
z=0.025/0.0176
=1.418
This is a p-value of 0.078
Fail to reject Po and insufficient evidence to support the claim that parents feel differently.
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A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 60% chance of hiring at least two candidates. There is only a 7% chance that it will not make any hires and a 10% chance that it will make all three hires.
a. What is the probability that the firm will make at least one hire? (Round your answer to 2 decimal places.)
b. Find the expected value and the standard deviation of the number of hires. (Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.)
Answers
b. Let X be the number of hires. Then X can take on values 0, 1, 2, or 3. The expected value of X is E(X) = 2.1 and the standard deviation of X is σ = 0.7.
Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x
Answers
Answer:
\(y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}\)
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
Determine the slope (m):
\(y = 1 -2x\)
Rearrange into slope-intercept form:
\(y = -2x+1\)
Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of \(\displaystyle\frac{1}{2}\). Plug this into \(y=mx+b\):
\(y=\displaystyle\frac{1}{2} x+b\)
Determine the y-intercept (b):
\(y=\displaystyle\frac{1}{2} x+b\)
Plug in the given point (1,3) and solve for b:
\(3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}\)
Therefore, the y-intercept is \(\displaystyle \frac{5}{2}\). Plug this back into \(y=\displaystyle\frac{1}{2} x+b\):
\(y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}\)
I hope this helps!
What is X?
I’m at a loss
Answers
Answer:
9
Step-by-step explanation:
5x-3= 2x+24
5x=2x+27
3x=27
X=9
Answer: A. 9
Step-by-step explanation:
The diagonal is bisected by the other diagonal. So the 2 parts of the diagonal are equal
5x - 3 = 2x + 24 >Bring like terms to 1 side
3x = 27 >Divide both sides by 3
x = 9
Solve for the unknown values
X = ?
Y = ?
Answers
Step-by-step explanation:
So 95 is a linear pair. a linear pair adds up to 180 so 180 - 95 = 85
X = 85
y = 50
Solve: 1 × -23 = Question 9 options: -1 1 23 -23
Answers
Answer:
-23
Step-by-step explanation:
1 × -231. When multiply a positive number by a negative number, the answer will always be negative.
2. When we multiply any number by 1, that number will stay the same.
\(1 * -23\) \(-23\)Therefore, the answer is -23!
Scientists have steadily increased the amount of grain that farms can produce each year. The yield for farms in France is given by y=−2.73x2+11000x−11000000 where x is the year and y is the grain yield in kilograms per hectare (kg/ha).
What does the y-intercept of this function represent?
Answers
9514 1404 393
Answer:
the yield in year 0
Step-by-step explanation:
The y-value is the yield for farms in France in year x. The y-value when x=0 is the yield for farms in France in year 0.
_____
Additional comment
The reasonable domain for this function is approximately 1843 ≤ x ≤ 2186. The function is effectively undefined for values of x outside this domain, so the y-intercept is meaningless by itself.
What is the difference in
|-3| and -3
Answers
Answer:
6, because anything inside | | are positive so -3 will now be 3.
3 minus -3 = 6
Step-by-step explanation:
Hope it helps! =D
The data gives the values of the 29 teams in the National Basketball Association, along with their operating incomes and revenues. Plots and correlations show that revenue predicts team value much better than does operating income. The least-squares regression line for predicting value from revenue is as follows: value = -123.298 + 4.242 revenue (a) What is the slope of this line?: 4.242 (b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue. What is the error in this prediction?: -123.298 + (4.242 * 147) = 500.276 547 - 500.278 = 46.724 (c) What is the correlation of revenue and value?: r = ?
Answers
Answer:
4.242;
$500.276 ; $46.724
Step-by-step explanation:
Given the regression equation :
value = -123.298 + 4.242 revenue
y = - 123.298 + 4.242x
y = team value ; x = Revenue
(a) What is the slope of this line?
From ;
y = mx + c
Where ; m = slope
Comparing the equation with, the model equation ;
mx = 4.242x ; Hence, slope, m = 4.242
(b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue.
Predicted value of hornets based on their revenue :
Revenue = $147,000,000
y = - 123.298 + 4.242(147)
y = - 123.298 + 623.574
y = 500.276
Predicted value is about $500.276 million.
What is the error in this prediction?:
Error = Actual - predicted value
Error = 547 - 500.276 = $46.724 million
predict the number of roses in a garden with 16 sunflowers if there are 3 sunflower in a garden with 81 roses
Answers
Hubble's constant H is about 70 km/sec per megaparsec. (The prefix "mega" means million.) Convert this value for Hubble's constant to km/s/million LY. Hint: -A parsec is 3.26 light-years, and therefore a megaparsec is 3.26 million LY. If you take the given value of the Hubble constant (namely, 70 km/s per megaparsec) and replace the megaparsec with 3.26 million LY, then you will have converted to the desired units.
Answers
Hubble's constant in units of km/s/million LY is approximately 21.47.
what is approximately ?
Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.
In the given question,
To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:
1 Mpc = 3.26 million LY
Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:
1 Mpc / 3.26 million LY
Multiplying Hubble's constant by this conversion factor gives:
H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY
Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.
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Alguien me dice si ya está correcto el trabajo?
Answers
Answer:
el que está debajo del que está marcado con un círculo es correcto
Step-by-step explanation:
I need help please geometry not my strong suit
Answers
The image point of (-7, -8) after the sequence of transformations is given as follows:
(-4.5, -4).
How to obtain the coordinates of the image point?The original coordinates are given as follows:
(-7, -8)
The first transformation is a dilation with a scale factor of 1/2, meaning that each coordinate is multiplied by 1/2, hence:
(-3.5, -4).
The second transformation is a translation of one unit left, meaning that one is subtracted from the y-coordinate, thus the image point after the sequence of transformations is given as follows:
(-4.5, -4).
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Where should you place parentheses in the expression 2 + 6 ÷ 2 + 4 × 3 so that the value of the expression is 16? Multiple choice question
Answers
Answer: (2+6)÷ 2 + 4 × 3
Answer:
4x3
Step-by-step explanation:
Need help with da question
Shelby filled a bucket with 9 3/4 gallons of water. A few minutes later, she realized only 7 3/10 gallons of water remained. How much water had leaked out of the bucket?
Answers
Answer:
2 9/20
Step-by-step explanation:
\(9\frac{3}{4}-7\frac{3}{10}\\\frac{39}{4} -\frac{73}{10}\\\frac{39x5}{4x5}-\frac{73x2}{10x2}\\\frac{195}{20}-\frac{146}{20}\\\frac{49}{20}\\2\frac{9}{20}\)
*I used an x for the multiplication symbol...there's no variable involved in this.
Can someone tell me if I’m right?
Answers
Answer:
yesssssssssssssssssssss
I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
Answers
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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2 1/2 =1 2/3 ÷y
what is y
Answers
Answer: 0.664
Step-by-step explanation: 1.666/0.664=2.5
A standard deck of playing cards contains 52 total cards, 13 of which are "spades".
Suppose you and a friend are playing a game. You can choose any two cards from the deck without looking. If the two cards you choose are both spades, you win!
You pull out one card, and then another, without putting the first one back.
What is the approximate probability that you win? Are your two choices independent or dependent events?
6%, Independent
6%, Dependent
11%, independent
11%, Dependent
Answers
The probability that you win is 6%, and the two choices are dependent events option (B) is correct.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
A standard deck of playing cards contains 52 total cards, 13 of which are "spades".
The probability of the first draw:
Probability = favorable outcomes/total outcomes
First draw: 1/4
For the second draw:
Second draw = 12/51
The probability that you win = (1/4)(12/51) = 3/51
In percent:
= (3/51)x100
= 5.88 = 6%
Thus, the probability that you win is 6%, and the two choices are dependent on events option (B) is correct.
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(Please help my test is timed.) The amount of time, t, Tom needed to mow the grass in his neighborhood is directly proportional to the amount of lawns, I, (all the same size) and inversely as the number of friends, f , who helped Tom. If it takes Tom and one friend 5 hours to mow 10 lawns, how long will it take Tom and 3 friends to mow 24 lawns?
Answers
Answer:
Step-by-step explanation:
500 dude
Tom & his 3 friends will take 4 hours to mow 24 lawns.
How to elaborate the problem ?The amount of time = t
The amount of lawn = l
The amount of time tom needed to mow the grass in his neighborhood is directly proportional to the amount of lawns, i.e. \(t\alpha l\)
The number of friends = f
The amount of time tom needed to mow the grass in his neighborhood is inversely as the number of friends, i.e. \(t\alpha \frac{1}{f}\)
∴ \(t\alpha \frac{l}{f}\)
What is the required time ?It takes Tom and one friend 5 hours to mow 10 lawns
Let, t = m × \(\frac{l}{f}\) , where m is constant of proportional
∴ m = (t × f)/l
⇒ m = (5×1)/10
⇒ m = 5/10
⇒ m = 1/2
Now, Let, Tom and 3 friends to mow 24 lawns in t₁ hours.
∴ t₁ = (m × l)/f
⇒ t₁ = (1/2 × 24)/3
⇒ t₁ = 12/3
⇒ t₁ = 4
So, they will take 4 hours.
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The length of a rectangle is four times its width.
If the perimeter of the rectangle is 50in, find its length and width
Answers
Answer:
Hajj smart kya tum ham held
A newsgroup is interested in constructing a 99% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 553 randomly selected Texans surveyed, 391 were in favor of the initiative and of the 529 randomly selected New Yorkers surveyed, 462 were in favor of the initiative.
a. With 99% confidence the difference in the proportions of Texans and New Yorkers who favor a new Green initiative is between
(round to 3 decimal places) and
(round to 3 decimal places).
b. If many groups of 553 randomly selected Texans and 529 randomly selected New Yorkers were surveyed, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population proportion of the difference in the proportions of Texans and New Yorkers who favor a new Green initiative and about
percent will not contain the true population difference in proportions.
Answers
Thus, there is a 99% chance that the gap between Texas and New equation Yorkers' support for a new green programmed is between -0.218 and -0.114.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
a. Using the method below, we can create a 99% confidence interval for the difference between the percentages of Texas and New Yorkers who support a new green initiative:
CI is equal to\((p1 - p2) (p1(1-p1)/n1 + p2*(1-p2)/n1) \sqrt.\)
where: 391/553 = 0.7077, where p1 is the percentage of Texans that support the measure.
462/529 = 0.8737, where p2 is the percentage of New Yorkers who support the measure.
n1 is the sample size for Texas, which is 553; n2 is the sample size for New Yorkers, which is 529; and z is the z-score, which is 2.576 at 99% confidence level.
CI is calculated as\((0.7077 - 0.8737) 2.576\sqrt(0.7077(1-0.7077)/553 + 0.8737*(1-0.8737)/529).\)
CI = (-0.166 ± 0.052)
Thus, there is a 99% chance that the gap between Texas and New Yorkers' support for a new green programme is between -0.218 and -0.114.
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What are the positive and negative square roots of 3,600?
Answers
Answer:
60 and -60
Hope this helps! :)
When listing all the pairs of factors for a particular term, the is being used.
Answers
When listing all the pairs of factors for a particular term, the factorization process is used.
How is factorization used?This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.
For example, if we want to find all pairs of factors for the number 24, we could follow these steps:
Start with 1 and the number itself (in this case 24), as these are always factors.
Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.
Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.
When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.
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Simplify 5(4x³y²)³/(4x⁵y³)⁴
Answers
Answer:
5
4x^11*y^6
In words:
5 over 4x to the 11th power times y to the 6 power.
Step-by-step explanation:
simplify from original to this:
5x^9*y^6
4x^20*y^12
=
5y^6
4x^11*y^12
=
5
4x^11*y^6
other term to write 2x+6
Answers
PLEASE HELP ME If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z? z = 3 z = 4 z = 5 z = 6
Answers
Answer:
z = 6
Step-by-step explanation:
We know that ...
sin(x) = cos(90 -x)
Substituting (9z-1) for x, this is ...
sin(9z -1) = cos(90 -(9z -1))
But we also are given ...
sin(9z -1) = cos(6z +1)
Equating the arguments of the cosine function, we have ...
90 -(9z -1) = 6z +1
90 = 15z . . . . . . . . . add (9z-1) to both sides
6 = z . . . . . . . . . . . . divide by 15
_____
Comment on the graph
The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...
sin(x) = cos(90 +360k -x) . . . . . for any integer k
Then the above equation becomes ...
90 +360k = 15z
6 +24k = z . . . . . . . . . for any integer k
The sine and cosine functions also enjoy the relation ...
sin(x) = cos(x -90)
sin(9z -1) = cos(9z -1 -90) = cos(6z +1)
3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z
z = 30 2/3
Answer:
Z is equal to 6
Step-by-step explanation:
I took the test and got the answer right. Brainliest PLZ!! I rly need it