The height of the tree based on the information is 229.23.
How to calculate the height?Based on the information given,
tan 50 = h/x + 60
h = (x + 60)tan 50°
x tan 60 = (x + 60)tan 50°
x(tan 60° - ta 50°) = 60 ta 60
x = 132.34
Therefore, the height will be:
= x tan60°
= 132.34 × tan 60
= 229.23
Therefore, the height is 229.23.
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In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after adding the chain. When I weighed the chain, its mass was 67.2 grams.
I believe the chain is solid metal (not gold plated), but is probably a blend of gold and other metals. I looked up that gold has a density of 19.3 g/ml, while the other metals like silver and copper usually blended with gold have a combined density of about 9.7 g/ml.
Determine what percentage of the chain is gold, by mass, to at least 1 decimal place?
The percentage of gold will be equal to 39.7%
What are percentages?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.
1. First find the density of your chain
Density = mass / volume
Volume = displaced water volume
= Volume of Final level of water - initial level of water
= 20 ml - 15 ml = 5 ml
Mass = 66.7 g
Density = 66.7g / 5 ml = 13.34 g/ml
2. Second, write the density of the chain as the weighted average of the densities of the other metals:
Mass of gold x density of gold + mass of other metals x density of other metals, all divided by the mass of the chain.
Calling x the amount of gold, then the amount of other metals is 66.7 - x:
[(19.3x+(9.7)(66.7-x)] / 66.7 = 13.34
19.3x + 635.66 - 9.7x = 889.778
9.6x = 254.118
x = 26.47
Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:
(26.47 / 66.7) x 100 = 39.7%
Therefore the percentage of gold will be equal to 39.7%
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Suppose that you and a friend are playing cards and you decide to make a friendly wager. the bet is that you will dr6aw two cards without replacement from a standard deck. if both cards are hearts, your friend will pay you $16. otherwise, you have to pay your friend $3. suppose that you and a friend are playing cards and you decide to make a friendly wager. the bet is that you will draw two cards without replacement from a standard deck. if both cards are hearts, your friend will pay you $16. otherwise, you have to pay your friend $3. step 2 of 2 : if this same bet is made 762 times, how much would you expect to win or lose? round your answer to two decimal places. losses must be expressed as negative values. round your answer to two decimal places. losses must be expressed as negative values.
If the bet is done 762 times then expected value is that we may have a loss of $1562.1if the bet is that is heart comes we will get $16 and lose $3 if not comes.
Given We will get $16 if hearts come and lose $3 when not comes and bet is made 762 times. We have to calculate the expected win after 762 times.
We know that there are 13 hearts in the standard deck of cards.
Probability is the chance of happening an event among all the events possible. The formula of calculating probability is as under:
Probability= number of items/ total number of items.
When two cards are chosen at random without replacement then the probability of getting two hearts is 13/52*12/51
=156/2652
=0.05
When two cards are chosen at random without replacement then the probability of not getting two hearts is 1-0.05
=0.95
When bet is made only 1 time expected value will be 0.05*16-0.95*3
=0.8-2.85
=-2.05 means we are expecting to lose $2.05.
When bet is made 762 times then the expected value will be -2.05*762=-1562.1.
Hence the expected value when bet is made 762 times is that we will lose $1562.1 .
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What is the order of rotational symmetry for the figure?
•A. 2
B. 1
C. 4 or more
D. 3
C is the right answer.
Trust me char!!
Na bakla na yswa!
XTI
1
7 ft. =
.
.
in.
3
.
13. Calculate using the table below: 2
" . 1
5
.
Calculations
Use chapters 8 and 9 of your textbook to solve the next set of problems. Show your wor
. 1
.
Equivalences of Units in Length in the U.S. Customary System
12 inches (in.) = 1 foot (ft)
3 ft = 1 yard (yd)
5280 ft = 1 mile (mi
I
f td d,ts#=#=sr#=rs$/,% gu gu hijkojibgu yf ,tdts$_, %_g g hu
Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a
function?
Select all correct answers.
Select all that apply.
□ {(-1,6), (4,4), (7, 13), (4,8)}
{(3,6), (3, 5), (9, 12), (0, -3)}
{(-5,0), (6, 8), (3,-5), (-5,-3)}
{(7,9), (8,4), (-2,4),(-3, 14)}
{(8,3), (3, 7), (6,4), (5,4)}
C
Answer:
D, E
Step-by-step explanation:
A set of ordered pairs represents a function if no x-value is repeated in the set.
Examine choices{(-1,6), (4,4), (7, 13), (4,8)} . . . . . not a function
{(3,6), (3, 5), (9, 12), (0, -3)} . . . not a function
{(-5,0), (6, 8), (3,-5), (-5,-3)} . . . . not a function
{(7,9), (8,4), (-2,4),(-3, 14)} . . . . no repeated x-values; is a function
{(8,3), (3, 7), (6,4), (5,4)} . . . . . .no repeated x-values; is a function
What is the volume of a right circular cylinder with a radius of 6 m and a height of 9 m?
• 547 m²
. 108 m²
3247 m³
4867 m²
Help
The volume of the right circular cylinder with a radius of 6 m and a height of 9 m is 1018 m².
The volume of a substance is the total space occupied by a three-dimensional object.
The volume of a right circular cylinder with a radius of r units and a height of h units is given by the formula V = πr²h square units.
We are asked to find the volume of the right circular cylinder with a radius of 6 m and a height of 9 m.
Substituting these values in the formula, we get Volume,
V = π(6)²(9) m² = 324π m² = 1017.876 m² ≈ 1018 m².
Therefore, the volume of the right circular cylinder with a radius of 6 m and a height of 9 m is 1018 m².
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The values in the table represent an exponential function. What is the common ratio of the associated geometric sequence?
x y
1 9
2 36
3 144
4 576
5 2304
The common ratio of the associated geometric sequence is 4
How to determine the common ratio?The table of values is given as:
x y
1 9
2 36
3 144
4 576
5 2304
The common ratio is calculated as:
Ratio = y(2)/y(1)
This gives
Ratio = 36/9
Divide
Ratio - 4
Hence, the common ratio is 4
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i cannot log in edge
only me?
There are 520 bridges on the freight rail network in the province of Ostenborg. Of these, 200 are classified as “old” rail bridges (i.e., 50 years or more in age). Past records indicate that 50% of all rail bridges in the state exhibit visible signs of structural distress. Of the bridges 70% are old or exhibit structural distress.
Find the probability that a randomly selected rail bridge will exhibit structural distress given that it is old.
Answer:
The probability that a selected randomly rail bridge will exhibit structural distress given that it is old
= (200/520) * 0.5 * 0.7 * 100
= 0.1346154 * 100
= 13.46154 %
An item is regularly priced at $60. Jane bought it at a discount of 30% off the regular price. How much did Jane pay?
$
X
5
Answer:
$72
Step-by-step explanation:
100%-$60
1%-$0.60
100%-30%=70%
70%-$0.60x70=$42
The age of undergraduate students at the U of A has a mean (µ) of 20.66 and a population standard deviation (s) of 2.4. What percentage of students are 21 or older and thus old enough to legally order alcohol at Griff's?
Using the normal distribution, it is found that 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 20.66, \sigma = 2.4[/tex]
The proportion of students that are 21 or older is one subtracted by the p-value of Z when X = 21, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20.66}{2.4}[/tex]
Z = 0.14
Z = 0.14 has a p-value of 0.5557.
1 - 0.5557 = 0.4443 = 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.
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Find the HCF of x³y² and x^2
Answer:
[tex]x^2[/tex]
Step-by-step explanation:
Hello!
The HCF or the highest common factor (sometimes also known as the greatest common factor, GCF), is the greatest factor between terms.
First, let's expand both terms:
[tex]x^3y^2 = x*x*x*y*y[/tex][tex]x^2 = x*x[/tex]If we keep them on top of another, we can see that the overlapping variables are [tex]x*x[/tex], meaning that the greatest common factor between them is [tex]x^2[/tex].
I need some help please
Answer:
[tex]2261.9cm^{2}[/tex]
Step-by-step explanation:
Total Surface Area of Cylinder = [tex]2\pi rh+2\pi r^{2}[/tex]
Note: Do not get tricked by the 24cm (taking 24cm as the radius), that is the diameter.
To find r, radius = [tex]\frac{1}{2} d[/tex]
=[tex]\frac{1}{2} (24)\\[/tex]
= 12cm
Now we know r = 12cm, h = 18cm
Now we substitute r and h into the formula to find the total surface area.
Total Surface Area of Cylinder = [tex]2\pi (12)(18)+2\pi (12)^{2} \\=432\pi +288\pi \\=720\pi cm^{2} \\=2261.9cm^{2}[/tex]
Please help!! If........
Answer:
26
Step-by-step explanation:
[tex]f(x)=3x^{2} -5x+4\\f(-2)=3(-2)^{2} -5(-2)+4\\=3(4)+10+4\\=12+10+4\\=26[/tex]
Answer:
26
Step-by-step explanation:
3(-2)^2 = 12
5(-2) = -10
So 12 - (-10) + 4 = 26
Maths Trigonometry Question
100 points up for grabs!
Will give brainliest to whoever answers
Answer:
14) 21.136505024965 m
15) 43.076759215619 km
Step-by-step explanation:
14)
let h be the height of the lighthouse:
tan(41.3) = 18.7/h
Then
h = 18.7÷tan(41.5)
= 21.136505024965 m
………………………………………
15)
90-71.4 =18.6
Let s be the distance that the plane flew
towards the south:
tan(90 - 71.4) = s/128
Then
tan(18.6) = s/128
Then
s = tan(18.6)×128
= 43.076759215619 km
14.)
See the diagram below.
Here use tan rule:
[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]
[tex]\sf tan(41+ \frac{30}{60} ) = \dfrac{18.7}{adjacent}[/tex]
[tex]\sf adjacent = \dfrac{18.7}{tan(41.5)}[/tex]
[tex]\sf adjacent = 21.14[/tex]
The height of the lighthouse is 21.14 m.
15.)
See the diagram below.
Here use tan rule:
[tex]\sf tan(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\sf tan(18.6) = \dfrac{opposite}{128}[/tex]
[tex]\sf opposite = 128 tan(18.6)[/tex]
[tex]\sf opposite = 43.08[/tex]
The plane travelled 43.08 km far south.
According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduates from public universities had student loans.
We randomly select 50 students at a time.
What is the mean of the distribution of sampling proportions? Do not round, and enter your answer as a proportion (decimal number) not a percentage.
The mean of the distribution sample is 0.62 and the standard error of the distribution sample is 0.069
What is Mean ?Mean is the study of central tendency of a data set. The average value of the data points is the mean.
It is given that
The probability that the students have the student loan is = 62% = 0.62
The probability that the students do not have student loan is
1 - p
= 1 - 0.62
= 0.38
Total number of students is
n = 50
1) [tex]\rm \mu \;\hat p[/tex] = p = 0.62
2) [tex]\rm \sigma\hat p[/tex] = [tex]\rm \sqrt {p ( 1 - p ) / n}[/tex]
= [tex]\rm \sqrt {(0.62 * 0.38) / 50}[/tex]
= 0.069
Therefore the mean of the distribution sample is 0.62 and the standard error of the distribution sample is 0.069.
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Choose the most convenient method to graph the line x=−3.
Select the correct answer below:
Recognize the equation as that of a vertical line passing through the x-axis at −3
Recognize the equation as that of a horizontal line passing through the y-axis at −3
Identify the slope and y-intercept and then graph
Find the x- and y-intercepts and then graph
Answer: Recognize the equation as that of a vertical line passing through the x-axis at −3
Inferential statistics
Answer:
Inferential statistics use measurements from the sample of subjects in the experiment to compare the treatment groups and make generalizations about the larger population of subjects. There are many types of inferential statistics and each is appropriate for a specific research design and sample characteristics
Step-by-step explanation:
hope this helps (﹡ˆ﹀ˆ﹡)♡
How would you answer this?: z^3/z^9
Hello !
Answer:
[tex]z {}^{ - 6} [/tex]
Step-by-step explanation:
[tex] \frac{z {}^{3} }{z {}^{9} } = z {}^{3 - 9} = z {}^{ - 6} [/tex]
Question 3 (Essay Worth 10 points) (05.07 MC) The scatter plot shows the number of strawberries that have been picked on the farm during the month of February: A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Strawberries and the x axis is labeled Days in February Part A: Using computer software, a correlation coefficient of r = 0.01 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points) Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm. (5 points)
It's not an accurate value for the data based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means practically no correlation, while the points on the graph are moderately correlated
How to illustrate the information?1. Part A:
Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.
The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to 1.
Here, r = - 1 is a perfect negative correlation as the points will adjust perfectly to a line with negative slope.
r = + 1 is a perfect positive correlation: the points will ajdust perfectly to a line with positive slope.
r = 0 means that the variables are not correlated at all.
Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.
Therefore, the calculated value of r = 0.01 is not accurate for this scatter plot.
2. Part B.
A causal relationship means that the explanatory variable (the independent variable) is the cause of the dependent variable.
Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.
Thus, the scenario could be:
Amout of rainfall in mm (x) Number of strawberries picked (y)
100 20
50 40
25 80
12.5 160
6.25 320
The amount of rainfall is the cause of the number of strawberries picked, and you could find a model that relates both variables.
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mrs.darby works at the local bakery as a cake decorator if it takes her 1 1/3 hours to decorate one cake how many cakes can she dcorate in a 30-hour week.
The number of cakes Mrs Darby can decorate in a 30-hour week is 22.5 cakes.
Number of cakes to decorateTime taken to decorate a cake = 1 1/3 hoursTotal time for decoration per week = 30 hoursTime conversion
1 hour = 60 minutes
1 1/3 hours = 60 × 1 1/3
= 60 × 4/3
= 240/3
= 80 minutes
30 hours = 30 × 60
= 1800 minutes
Number of cakes decorated = 1800 / 80
= 22.5 cakes
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Z
1
t
= [?]√
X
= Z
16
Answer: [tex]8\sqrt{5}[/tex]
Step-by-step explanation:
By the geometric mean theorem,
[tex]\frac{y}{16}=\frac{4}{y}\\\\y^{2}=64\\\\y=8[/tex]
So, by the Pythagorean theorem,
[tex]8^2 + 16^2 = x^2\\\\320=x^2\\\\x=\boxed{8\sqrt{5}}[/tex]
HELP ME PLEASE PLEASE PLEASE
If the angles of a convex octagon are [tex]2x+6,x+13,2x-1,2x+12,2x-17,3x-4,3x-10,4x.[/tex] then the smallest angle is 21°.
Given The exterior angles of convex octagon are [tex]2x+6,x+13,2x-1,2x+12,2x-17,3x-4,3x-10,4x.[/tex]
and we have to find the value of smallest angle.
The sum of the angles of a convex octagon is 360°
so to calculate the smallest angle we need to find out the value of x first and which is calculated by summing up all the exterior angles and put them equal to 360.
(2x+6)+(x+13)+(2x-1)+(2x+12)+(2x-17)+(3x-4)+(3x-10)+4x=360
2x+6+x+13+2x-1+2x+12+2x-17+3x-4+3x-10+4x=360
2x+x+2x+2x+2x+3x+3x+4x+6+13-1+12-17-4-10=360
19x-1=360
19x=360+1
19x=361
x=361/19
x=19
Putting the value of x in all the angles and we will find the following:
2x+6=2*19+6=44
x+13=19+13=32
2x-1=2*19-1=37
2x+12=2*19+12=50
2x-17=2*19-17=21
3x-4=3*19-4=51
3x-10=3*19-10=47
4x=4*19=76
Hence among all the exterior angles the smallest angle is 21°.
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Set up an algebraic equation and then solve.
An integer is 17 more than 4 times another. If the product of the two integers is - 18,
then find the two integers.
Answer:
Step-by-step explanation:
let the numbers be x& y
y=4x+17
xy=-18
x(4x+17)=-18
4x²+17x+18=0
4x²+8x+9x+18=0
4x(x+2)+9(x+2)=0
(x+2)(4x+9)=0
x=-2
x=-9/4 (rejected as it is not an integer.)
y=4×(-2)+17=-8+17=9
so numbers are -2,9
Type an integer or decimal rounded to the nearest tenth f(80)=1000(0.5)80/30
The value of the function is 157.5
How to evaluate the function?The function is given as:
f(80)=1000(0.5)^(80/30)
Evaluate the quotient
f(80)=1000(0.5)^(8/3)
Evaluate the exponent
f(80)=1000 * 0.15749013123
Evaluate the product
f(80) = 157.49013123
Approximate
f(80) = 157.5
Hence, the value of the function is 157.5
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8. What is 3x times (3x² - 5)?
a.3x² + 5x -5
b.9x³-5
c.9x³ - 15x
d.15x³ - 25x
Answer:
9x^3-15x
Step-by-step explanation:
A number line going from negative 3 to positive 5. A closed circle is at negative 1.5. Everything to the left of the circle is shaded. Which inequalities have the solution set graphed on the number line? Check all that apply. x Greater-than-or-equal-to -1.5 x Less-than-or-equal-to -1.5 -1.5 Less-than-or-equal-to x -1.5 Greater-than-or-equal-to x x Less-than-or-equal-to -2.5 x Greater-than-or-equal-to -2.5 -2.5 Greater-than-or-equal-to x
the inequality in the number-line is:
x ≤ -1.5
Which inequality is represented?We know that we have a closed circle at -1.5, this means that the value is a solution of the inequality.
Then we have a line that goes to the left of that circle, so the inequality will have solutions that are less than or equal to -1.5
Then the inequality is:
x ≤ -1.5
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Answer:c
Step-by-step explanation:
trust me
Which choice is equivalent to the quotient shown here for acceptable values of X?
√7x² ÷ √3x
A x(√7x/3)
B √21x³
C (√7x/3)
D (√7x³/3)
The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).
What is the quotient about?Since the expression is √7x² ÷ √3x
So, one need to rationalize the denominator and thus:
√7x² ÷ √3x x √3x ÷ √3x
or write as √7x² x√3x ÷ √3x
or write as√(21x³)/3x
or write as √3*7*x³/3x
or write as √3*7*x/3
= √7x/√3
Therefore, The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).
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find two consecutive even integers such that 8 times the first equals 7 times the second
Answer:
Step-by-step explanation:
let the consecutive even integers be 2x,2x+2
8×2x=7(2x+2)
16x=14x+14
16x-14x=14
2x=14
x=14/2=7
so numbers are 2×7,2×7+2
or
14,16
How much would we pay per barrel of crude oil if the price goes up to US$ 75 and the US$ exchange rate stays the same?
If the price of a barrel of crude oil went up to $75, the amount that would be paid per barrel is $75.
What currency is oil denominated in?The U.S. dollar is the main currency for trade around the world which includes the trade of crude oil.
This means barrels of crude oil are denominated in dollars. An increase of crude oil to $75 per barrel means that Americans would be $75 because they already use the currency that the oil is denominated in.
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