The measured height of the tree is found as 3.2 yards.
Explain the term trigonometric relation?Trigonometric ratios are based on the measurement of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. These trigonometric ratios of a given acute angle are the ratios of the sides of such a right-angled triangle in respect to that angle.Let 'h' be the height of the three.
Let distance between student A and tree = x.
Using trigonometric relation;
tan 57 = h/x
x = h/tan 57 ......eq 1
tan 46 = h/(x + 1)
x + 1 = h/tan 46 ......eq 2
Equation eq 1 and eq 2.
h/tan 57 + 1 = h / tan 46
h / tan 46 - h / tan 57 = 1
Further solving,
h(tan 57 - tan 46) = tan 46.tan 57
h = tan 46 tan 57 / (tan 57 - tan 46)
h = 3.2 yards
Thus, the measured height of the tree is found as 3.2 yards.
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The complete question is-
Two students stand 1 yard apart and measure their respective angles of elevation to the top of a tree. Student A measures the angle to be 57°, and Student B measures the angle to be 46°.
What is h, the height of the tree? Use the law of sines to first find AT. Then use that measure to find the value of h.
A) 3.0 yards
B) 3.2 yards
C) 3.8 yards
D) 4.4 yards
Answer: 3.2 is correct
Step-by-step explanation:
edge 2023
the area of trapezoid $abcd$ is $60$. one base is $4$ units longer than the other, and the height of the trapezoid is $5$. find the length of the median of the trapezoid.
The length of the median of the trapezoid is 12 units.
What is trapezoid?
Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides. This article provides formulas for the area of the trapezium as well as its types, attributes, and other trapezoids.Let the parallel sides be x and x+4
The area of a trapezium is the average or the parallel sides multiplied by the height
Area = [(x + x+ 4)/2 ] *h
= [ (2x+4)/2] * 5
= [2(x+2)/2] * 5
Area = 5(x+2)
60 = 5(x+2)
60/5 = x+2
12 = x+2
x = 12 - 2
x = 10
The parallel sides are 10 and 14 units.
Now the median length is the average of the parallel side lengths
Length of median = (10+14)/2
Length of median = 12 units
Hence, the length of the median of the trapezoid is 12 units.
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which answer would make the following a false statement? a function parameter ... a. is visible inside the function in which it is defined b. lives until the end of the function is reached. c. is a local variable d. cannot share a name with a variable outside of the function
The following statements make a false statement.
Given that,
A function argument a exists until the function's end is reached.
A local variable
can only share a name with another variable inside the function and exists only until the function's end.
Answer C : Can not share a name with variable outside a function.
Because the function is considered as a single line of code.
Answer True
They have same presidence but they are evaluated from left to right
Answer D : The calculation totals both positive (Profits) and negative (loss) earnings
Code doesn't check if the number of positive or not before adding
Answer D.
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How many solution does the equation have 3=|y+7|
if measurements are made on four different days, find the level ll such that there is probability only 0.03 that the mean glucose level of four test results falls above all for sheila's glucose level distribution. what is the value of ll?
The probability of having L greater than Shelia's mean glucose level is 0.03 for L = 144.48.
Sheila's glucose level is shown to have a normal distribution, with a mean of 128 mg/dl and a standard deviation of 8 mg/dl.
L represents the patient's blood test level.
The probability that the mean glucose level, 128 mg/dl, is greater than L is given as 0.03.
To find L,
P(128>L) = 0.03
= 1 - P(128 ≤ L) = 0.03
=P(128 ≤ L) = 0.98
We know that we can find the probability of any normal distribution by converting it to standard form and then checking the p-value.
P(X < x) = Φ[(x - μ)/σ]
μ = mean
σ = standard deviation
=Φ[(L - 128)/8] = 0.98
Therefore ,
(L - 128)/8 = 2.06
= L - 128 = 16.48
= L = 128 + 16.48
= 144.48
= L
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Consider the quadratic equation x2 + 10x + 27 = 0. Completing the square leads to the equivalent equation (x + )2 =.
The completing the square leads to the equivalent equation of (x +5)² = -2.
Explain the term completing square?When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. This square formula is employed to factorize quadratic polynomials when we want to express a quadratic polynomial and equation as a perfect square with an additional constant.The given quadratic equation is-
x² + 10x = -27
Now, add a square of 1/2 of coefficient of 'x':
x² + 10x + 5² = -27 + 5²
x² + 10x + 5² = -27 + 25
Write this equation in the form of perfect square as;
(x +5)² = -2
Thus, the completing square leads to the equivalent equation of (x +5)² = -2.
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Can 3,8,15 make a triangle
Answer is NO!
hope this helps! Have an amazing and blessed day! :)
Answer: yes
Step-by-step explanation:
help me please and thank you:)))
Answer:
c
Step-by-step explanatio
need help on 11 and 12! or you can solve one instead of both if u want?
Answer:
Step-by-step explanation:
A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?
2
3
4
5
Answer:
it is 5 you don't add the 3 in it
researchers studied the behavior of birds that were searching for seeds and insects in an oregon forest. in this forest, 54% of the trees were douglas firs, 40% were ponderosa pines, and 6% were other types of trees. at a randomly selected time during the day, the researchers observed 156 red-breasted nuthatches: 70 were seen in douglas firs, 79 in ponderosa pines, and 7 in other types of trees. Do these data provide convincing evidence that nuthatches prefer particular types of trees when they're searching for seeds and insects?
Yes, the given data provide convincing evidence that the Nuthatches prefer particular types of trees while searching for seeds and insects.
A statistical hypothesis test used to examine if a variable is likely to come from a given distribution is the Chi-square goodness of fit test. It is frequently used to assess how well sampling data represents the entire population.
Given that the number of red-breasted nuthatches (n) is 156. By convention, the significance level is α=0.05.
First, let's state the null hypothesis and alternate hypothesis.
Null hypothesis H₀: Nuthatches don't prefer particular types of trees while searching for seeds and insects.
Alternate hypothesis H₁: Nuthatches prefer particular types of trees while searching for seeds and insects.
Given: p₁=54%=0.54, p₂=40%=0.40, p₃=6%=0.06
The expected frequency (E) for each probability is:
[tex]\begin{aligned}E_1&=np_{1}\\&=156\times0.54\\&=84.24\\E_2&=np_{2}\\&=156\times0.40\\&=62.4\\E_3&=np_{3}\\&=156\times0.06\\&=9.36\end{aligned}[/tex]
The observed values (O) are given as 70, 79, and 7. Calculating chi-square, we get,
[tex]\begin{aligned}\chi^{2}&=\sum\frac{(O-E)^2}{E}\\&=\frac{(70-84.24)^2}{84.24}+\frac{(79-62.4)^2}{62.4}+\frac{(7-9.36)^2}{9.36}\\&=7.4182\end{aligned}[/tex]
And the degree of freedom is given by df = n-1, where, n is the sample size. Here, the sample size is 3.
[tex]\begin{aligned}df&=n-1\\&=3-1\\&=2\end{aligned}[/tex]
Then, the P-value from the table is given by, [tex]P(\chi^{2} > 7.4182) = 0.0245[/tex].
This value is less than the significance level. Therefore, the null hypothesis is rejected. So, an alternate hypothesis is accepted.
Therefore, nuthatches prefer particular types of trees while searching for seeds and insects.
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Please answer the question in the picture
What is the mean for this set of data? {3, 5, 8, 11, 11, 12} question 4 options:
a. 8
b. 8.33
c. 11
d. 9.5
Answer:
b. 8.33
Step-by-step explanation:
"mean" is the math word for what non-math people call average. This is where you add up all the numbers and divide by however many there are.
3+5+8+11+11+12 is 50
There are 6 numbers in the data set. So 50/6 is 8.3333...
b. 8.33 is the correct answer.
Mean means add and divide.
lapeer flour mills purchased new equipment and made the following expenditures: purchase price $ 64,000 sales tax 5,450 shipment of equipment 890 insurance on the equipment for the first year 590 installation of equipment 1,780
Orion Flour Mills will initially report the $590 insurance amount as prepaid insurance and expense over the first year of coverage is $72120.
Given that,
Lapeer Flour Mills spent money on the following items in addition to buying new machinery: $64,00 in purchase price, plus sales tax 5,450 equipment shipments, 890 equipment insurance for the first year, and 590 equipment installations 1,780
We have to find the above expenditures for the new machines.
We know that,
Total cost of new machine = Purchase price + Sales tax+ Shipment of machine+ Installation of machine
= $64000+$5450+$890+$1780
= $72120
Therefore, Orion Flour Mills will initially report the $590 insurance amount as prepaid insurance and expense over the first year of coverage is $72120.
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when you hand in your test do you think you will get a higher score than you actually do? a professor collected data
After solving, the observed statistic for this study is 2.5.
In the given question, a professor collected data.
After fishing a test, the 27 students in the class wrote their pedicted scores on their tests and these were compared with the actual scores after they were graded.
The mean predicted score was 83.7. So SD = 83.7.
The mean actual score was 81.2. So SD = 15.6
the aen of the difference was 2.5. So SD = 8.6
Null: The average difference in test score (predicted-actual) is 0. μ = 0
Alternative: The average difference in test score (predicted-actual) is greater than 0. μ > 0
We have to find the observed statistic for this study.
predict mean = 83.7 S.D = 8.6
actual mean = 81.2 S.D = 15.6
n = 27
x = (predict mean - actual mean )
x = 83.7 - 81.2
x = 2.5
Hence, the observed statistic for this study is 2.5.
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The right question is given below:
An icicle that is 12 mm long melts at a constant rate of 1.2 mm per minute. Let t represent the number of minutes since the icicle started melthing and suppose R is a function such that R(t) represents the remaining length of the icicle (in mm) t minutes after it started melting.
A.Write a function formula for R in terms of t.
b.What is the domain of R relative to this context? Enter your answer as an interval.
c.What is the range of R relative to this context? Enter your answer as an interval.
d.What is the domain of R−1 relative to this context? Enter your answer as an interval.
e.What is the range of R−1 relative to this context? Enter your answer as an interval.
f.Solve R(t)=6.6 for t.
t= g.What does your solution in part (f) represent in this context? Select all that apply.
How long it takes for the icicle to melt completely.
How many minutes since the icicle started melting when it is 6.6 mm long.
The length of the icicle (in mm) 6.6 minutes after it started melting.
R(t)=6.6 for t, 5 minutes, the domain of R relative to this context [0, 65 ÷ 6], the range of R related to this context, the domain of R relative to this context, [0, 12], and the range of R relative to this context.
The values of variables, domain, and range:
a) 12 - 1.2t, Using the build equation.
b) Least length = 0 mm.
max time = 12 - 1.2t = 0
t = 65 ÷ 6 minutes.
domain t ∈ [0, 65 ÷ 6]
c) range, R ∈ [0, 12]
d) domain of [tex]R^{-1}[/tex] [0, 12]
e) domain of [tex]R^{-1}[/tex] [0, 65 ÷ 6]
f) 12 - 1.2t = 7
1.2t = 7
t = 5
R(t)=6.6 for t, 5 minutes.
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A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
milligrams
To compare the weight of a flea and an ant, we first need to convert the weight of the flea and the ant to the same units. Since the weight of the flea is given in decigrams and the weight of the ant is given in milligrams, we can convert the weight of the flea to milligrams by multiplying it by 10.
We can use the following equation to calculate the weight of the flea in milligrams:
weight of flea in milligrams = 8 decigrams * 10 = 80 milligrams
Once we have the weight of the flea and the ant in the same units (milligrams), we can subtract the weight of the ant from the weight of the flea to find the difference in their weights.
We can use the following equation to calculate the difference in weight between the flea and the ant:
difference in weight = weight of flea - weight of ant
difference in weight = 80 milligrams - 3 milligrams
difference in weight = 77 milligrams
Therefore, a flea weighs 77 milligrams more than an ant.
In a Survey of a group of students, it was found that 35% of the student likes mathematics, 30% of student Like account and 600 student like both of them and 5%. Like none of them.
Answer:
Explanation: The idea is to draw a Venn Diagram and find the intersection. We have one circle of 70 and another with 40. When we add the two circles plus the 10 students who joined neither, we should get 100 students.
Step-by-step explanation:
FILL IN THE BLANK. Fill in the blank: A data analyst uses _____ to decide which data is relevant to their analysis and which data types and variables are appropriate.
Answer:
statistical methods
Step-by-step explanation:
Data analyst uses to "Database organization" to decide which data is relevant to their analysis and which data types and variables are appropriate.
What is database organization ?A database is a structured information collection that is often kept electronically in a computer system. Typically, a database management system is in charge of managing a database (DBMS).
It is a system, frequently abbreviated to just database, is the collective term for the data, the DBMS, and the applications that are connected to it.
The most popular forms of databases, today usually describe their data in rows and columns in a collection of tables to facilitate processing and data querying.
Also the information may then be accessed, managed, changed, updated, regulated, and organized with ease. SQL is a structured query language that is used by the majority of databases to write and query data.
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true/false: transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them.
The statement: transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.
What is 3D to 2D projection?
A three-dimensional (3D) object is displayed on a two-dimensional (2D) surface using a 3D projection, also known as a graphic projection. In order to project a complex object for viewing capability on a simpler plane, these projections rely on visual perspective and aspect analysis.
The fundamental method is: u = x / z; v = y / z; if you're converting from world-space (x, y, z) coordinates to screen-space (u, v) coordinates. Before applying the projection matrix, transform (x, y, z) by the view matrix if the camera is not positioned at the origin.
Hence, the statement transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.
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A directional hypothesisrequires a paired t-test.tests whether error variance is smaller or larger than systematic variance.stipulates whether alpha or beta is most important.predicts which of two means will be larger.
Answer:D
Step-by-step explanation:D
Find:
11/3÷2/3
the question is five and
We keep the first number 11/3, change ÷ to ×, and flip 2/3 to 3/2:
11/3 x 3/2 = 33/6
Simplify:33/6 ÷ 3/3 = 11/2
Solution:11/2I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
thankss tooooo urgenttt tooo
Find the real solution(s) of the equation. Round your answer to the nearest hundredth. 12x^4 = 78
Answer:
x = 4√104/2
Step-by-step explanation:
problem 4. a player plays a game where she is equally likely to win or lose 1 dollar. the games are independent. the player will continue playing until the first win occurs and then stop immediately after. (a) find the probability that her winnings are greater than zero. (b) find the probability that her winnings are less than zero. (c) find the expected value of her winnings.
We get
(A) The probability that her winnings will exceed zero is 0.50.
(B) The probability that her winnings will be less than zero is 0.25.
(c) Her winnings' estimated worth is 0.
Given that,
A player engages in a game where the odds of winning or losing one dollar are equal. The games are stand-alone. The game will be played until the first win occurs, at which point the player will instantly stop.
We have to find
(A) determine the probability that her winnings will exceed zero.
(B) calculate the probability that her winnings will be less than zero.
(c) calculate her winnings' estimated worth.
We know that,
a) probability that her winnings are greater than zero =P(wins 1st game) =1/2 =
b) probability that her winnings are less than zero =P(lose 1st 2 games) =(1/2)×(1/2 )=1/4 =0.25
c) below is pmf of X (gain from the game)
P(X=1)=P(win 1st game) =1/2
P(X=0)=P(lose 1st and win 2nd) =(1/2)×(1/2) =1/4
P(X=-1)=P(lose 1st two and wins 3rd)=(1/2)×(1/2)×(1/2) =1/8
P(X=-2)=1/16
therefore expected value E(X )=ΣxP(x) =1×1/2+0×1/4-1×1/8-2×1/16........
= (1/2)+0-(1×1/8+2×1/16+3×1/32+4×1/64+...)
=(1/2)-(1/4)×(1/(1/2))
=(1/2)-(1/2)
=0
Therefore,
(A) The probability that her winnings will exceed zero is 0.50.
(B) The probability that her winnings will be less than zero is 0.25.
(c) Her winnings' estimated worth is 0.
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A compound is made up of various elements totaling 120 ounces. If the total amount of copper in the
compound weighs 6 ounces, what percent of the compound is made up of copper?
Answer: 5%
Step-by-step explanation:
To find the percentage you put the part over the whole so in this case it would be 6/120 or 6÷120
pop that into a calculator and you get 0.05 or [tex]\frac{5}{100}[/tex] or 5%
Hope that helps
Shera is building a cabinet. She is making wooden braces for the corners of the cabinet. Find the surface area of each brace.
The surface area of each brace of the cabinet is 30 square inches
What is the surface area of each brace?length = 3 inWidth = 3 inHeight = 1 inSurface area of the first brace = 2 (lh +wh + lw )
= 2{(3×1) + (3 × 1) + (3 × 3)}
= 2(3 + 3 + 9)
= 2(15)
= 30 square inches
Surface area of the second brace = 2 (lh +wh + lw)
= 2{(3×1) + (3 × 1) + (3 × 3)}
= 2(3 + 3 + 9)
= 2(15)
= 30 square inches
Total surface area of the cabinet = Surface area of the first brace + Surface area of the second brace
= 30 square inches + 30 square inches
= 60 square inches
Consequently, the total surface area of the cabinet is 60 square inches
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how to evaluate 8.1p plus 7.9r when p=6 and r=7
The value of the expression 8.1p plus 7.9r when p=6 and r=7 will be 103.9.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
An expression is a mathematical proof of the equality of two mathematical expressions.
8.1p + 7.9r = 8.1(6) + 7.9(7)
⇒ 103.9
Hence "The value of the expression 8.1p plus 7.9r when p=6 and r=7 will be 103.9".
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a newsletter publisher believes that less than 46% of their readers own a rolls royce. is there sufficient evidence at the 0.01 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.
the null and alternative hypotheses for the above scenario This is a left failed test.
What is confidence interval?
In frequentist statistics, a confidence interval (CI) is a range of estimates for an unknown parameter. Although 95% is the most common confidence level, confidence intervals can also be calculated at other levels, such 90% or 99%. The confidence level is the proportion of linked CIs over the long run which really contain the true value of the parameter. The breadth of the CI may be influenced by a number of variables, including sample size, sample variability, and degree of confidence. If all other factors were same, a larger sample would lead to a narrower confidence interval. A sample with greater variability would result in a broader confidence interval and a higher level of confidence.
a newsletter publisher believes that less than 46% of their readers own a rolls Royce.
there is sufficient evidence at the 0.01 level to substantiate the publisher's claim
The null hypothesis (Mo) in this case has a P value of 0.46. P 0.46 Alternative Hypothesis (Ha) (claim)
The left test failed here.
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probability of rolling a 6 with two dice one with values 1, 2, 2, 3, 3, 4 and 1, 3, 4, 5, 6, 8
Answer:
11/12 chance of the probability of rolling a 6 with 2 dice
Please Help Me. I am stuck on this homework assingment.
The required reasons statements to prove the congruency of the angles the value of x, and the measures of ∠2 and ∠4 are as follows;
Problem 1
The question and the diagram indicates that ∠1 and ∠3 are vertical angles formed by two lines, therefore, ∠1 and ∠3 are both a linear pair and therefore supplementary to ∠2, indicating that m∠1 = m∠3, therefore;
∠1 ≅ ∠3
Problem 2
x = 18°m∠2 = 68°m∠3 = 68°What are supplementary angles?Supplementary angles are angles that have a sum of 180°
The reasons for the statements in the completed table of the two column method used to prove ∠1 ≅ ∠3 are as follows;
Statement [tex]{}[/tex] Reasons
1. ∠1 and ∠3 are vertical angles [tex]{}[/tex] 1. Given
2. ∠1 and ∠2 form a linear pair [tex]{}[/tex] 2. Definition of linear pair
∠2 and ∠3 form a linear pair
3. ∠1 and ∠2 are supplementary [tex]{}[/tex] 3. Linear pair ∠s are supplementary
∠2 and ∠3 are supplementary
4. m∠1 + m∠2 = 180° [tex]{}[/tex] 4. Definition of supplementary ∠s
m∠2 + m∠3 = 180°
5. m∠1 + m∠2 = m∠2 + m∠3 [tex]{}[/tex] 5. Substitution property
6. m∠1 = m∠3 [tex]{}[/tex] 6. Subtraction property
7. ∠1 ≅ ∠3 [tex]{}[/tex] 7. Definition of congruency
Problem 2
∠2 = 4·x - 4
∠4 = x + 50
∠2 and ∠4 are vertical angles, therefore;
∠2 ≅ ∠4 (Vertical angle theorem)
m∠2 = m∠4 (definition of congruency)
4·x - 4 = x + 50 (substitution property)
4·x - x = 4 + 50 = 54
3·x = 54
x = 54 ÷ 3 = 18
x = 18°
m∠2 = (4 × 18 - 4)° = 68°
m∠3 = (18 + 50)° = 68°
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