Answer:
BA ≈ 410.1 m
Step-by-step explanation:
using the tangent ratio in the right triangle
tan34° = \(\frac{opposite}{adjacent}\) = \(\frac{BA}{BC}\) = \(\frac{BA}{608}\) ( multiply both sides by 608 )
608 × tan34° = BA , then
BA ≈ 410.1 m ( to the nearest tenth )
Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base LaTeX: 8. She asks Han what he thinks will happen to the volume of the rectangular prism if she triples LaTeX: 8. Han says the volume will be 9 times bigger. Is he right? Explain or show your reasoning.
The volume will be 9 times increased if she triples the dimension of the square. So, yes, he is right because 3 is 2 times in the formula.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base 8.
The side of the square is 8.
The height of the prism is 11.
Volume = Area of square × height.
The volume of the original prism will be.
\(\rm V_1 = 8 * 8 * 11\\\\V_1 = 704\)
If she triples the side of the square.
Then dimensions will be
The side of the square is 24.
The height of the prism is 11.
The volume of the modified prism will be.
\(\rm V_2 = 24 * 24* 11\\\\V_2 = 9*704\\\\V_2 = 9 \ Times \ of \ V_1\)
Thus, the volume will be 9 times bigger. So, yes, he is right because 3 is 2 times in the formula.
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suppose sample of male is 69 who got A is 10 Second sample of female is 83 who got A is 13 Find upper limit (UL) 99% C.I for the difference between two proportions of A (Answer to 3 decimal places)
the upper limit (UL) of the 99% confidence interval for the difference between the two proportions of A is approximately 0.114 (rounded to 3 decimal places).
To find the upper limit (UL) of the 99% confidence interval (CI) for the difference between two proportions of A, we can use the following formula:
UL = (p1 - p2) + (z * standard error)
where:
p1 = proportion of A in the first sample (male)
p2 = proportion of A in the second sample (female)
z = z-score associated with the desired confidence level (99% CI)
standard error = sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))
Given the information provided, we have:
Sample size for males (n1) = 69
Sample size for females (n2) = 83
Number of males who got A = 10
Number of females who got A = 13
First, we calculate the proportions of A in each sample:
p1 = 10 / 69 ≈ 0.145
p2 = 13 / 83 ≈ 0.157
Next, we calculate the standard error:
standard error = sqrt((0.145 * (1 - 0.145) / 69) + (0.157 * (1 - 0.157) / 83)) ≈ 0.049
To find the z-score associated with a 99% confidence level, we look up the critical value from the standard normal distribution table. For a two-tailed test, the z-score is approximately 2.576.
Finally, we substitute the values into the upper limit formula:
UL = (0.145 - 0.157) + (2.576 * 0.049) ≈ 0.145 - 0.157 + 0.126 ≈ 0.114
Therefore, the upper limit (UL) of the 99% confidence interval for the difference between the two proportions of A is approximately 0.114 (rounded to 3 decimal places).
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Simplify. Consider all cases. |12 - x|
The second one is filled out. It would be appreciated if someone filled out the first and third.
Also, I am giving out brainliest and a follow + 50 points. Please help me guys.
Answer:
x-12 if x>12
0 if x is 12
12-x if x<12
Step-by-step explanation:
hope it helps
x-12 if x>12
0 if x is 12
12-x if x<12
solve: x- 9.5= -10.5
please help me
Answer:
x = -1
Step-by-step explanation:
add 9.5 to both sides to get x by itself and to keep both sides equal.
x = -1
find the value of x. round to the nearest tenth.
Answer: 10.2 (nearest tenth)
Step-by-step explanation:
For this question, you have to find out whether you are using Sin, Cos, or Tan.
For that, you can use SOH CAH TOA to help you.
SOH-the 'S' is for Sin then the 'O' and the 'H' stands for Opposite over Hypotenuse.
CAH-the 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA-the 'T' is for Tan then then 'O' and the 'A' is for Opposite over Adjacent.
Because you have the Adjacent (the side next to the 22°) and the Hypotenuse (the side opposite the right angle) you would be using Cos.
First you would write:
Cos 22=x/11
Then because you want x on it's own you would do the inverse so you would times Cos 22 by 11.
This would be written as:
11 Cos 22=x
So, x=10.2 (nearest tenth)
Hope this helps :)
I need the answer nowwwwww right nowwwwww
Answer:
160 cm i think
Step-by-step explanation:
I WILL CHOOSE BRAINIEST AND 5 STARS AND A THANKS... A "necklace" is a circular string with several beads on it. It is allowed to rotate a necklace but not to turn it over. How many different necklaces can be made using 13 different beads?
Answer:
479,001,600 ways
Step-by-step explanation:
When looking at this problem, there are 13 beads that can be put on first, 12 that can be put on second as the first one was already used, 11 put on third, and so on. This means the amount of necklaces you can make are 13*12*11...*2*1, or 13 factorial (13!). But since you can rotate the necklace this means that there are each combination has 12 others just like it, just rotated(13 in total). This means we must divide 13! by 13, which makes it 12!. 12! is equal to 479,001,600, which is the answer.
Answer:
6,227,020,800 different necklaces.
Step-by-step explanation:
To start making the necklace, you will have to choose one of the 13 beads. For the next bead, you will have 13 - 1 = 12 beads to choose from. For the next bead, you will have 12 - 1 = 11 beads to choose from, and so on and so forth, until all 13 beads are used.
So, you will have 13! different necklaces, since you would have 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 156 * 110 * 72 * 42 * 120 = 17160 * 362880 = 6227020800.
So, you will have 6,227,020,800 different necklaces.
Hope this helps!
There are four candidates for homecoming queen and three candidates for king. How many king-queen pairs are possible?
The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.
To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.
Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.
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I need help with this:
Answer:
if of all parallel lines can't touch
Step-by-step explanation:
Ed made stacks of 1, 2, 2, 4 and 6 blocks.
What is the mean number of blocks in a stack in this collection?
Answer:
3
Step-by-step explanation:
to find the mean you add all the numbers in the stack together 1+2+2+4+6= 15 and you divide your anwser by 5 because you have 5 numbers in the collection so 15 divided by 5 is 3
The mean is 3.
What is mean?Mean in mathematics, a quantity whose value is in the middle of the extremes of a set. A few sorts of means exist, and the strategy for working out a mean relies on the relationship known or expected to oversee different individuals.
Given stacks 1, 2, 2, 4 and 6
total number of digits is 5
mean is given by ratio of sum of all digits to total number of digits,
mean = (1 + 2 + 2 + 4 + 6)/5
mean = 15/5 = 3
Hence the mean number of blocks in a stack in this collection is 3.
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Explain how you can use the exterior angle theorem to calculate the measure of < pmu
an urn initially contains 5 white and 7 black balls. each time a ball is selected, its color is noted and it is replaced in the urn along with 2 other balls of the same color. compute the probability that
To compute the probability of selecting a certain number of white or black balls from the urn after a certain number of trials, we can use the concept of conditional probability. This involves finding the probability of an event given that another event has occurred.
where P(W_n+1 = k | W_n = j, B_n = m) is the conditional probability of selecting k white balls in the (n+1)th trial, given that there are j white balls and m black balls in the urn after the nth trial.
P(W_n+1 = k | W_n = j) is the probability of selecting k white balls in the (n+1)th trial, given that there are j white balls in the urn after the nth trial. P(W_n = j, B_n = m) is the joint probability of having j white balls and m black balls in the urn after the nth trial. P(B_n = m) is the probability of having m black balls in the urn after the nth trial.
Using the above equation and the fact that the urn initially contains 5 white and 7 black balls, we can compute the probabilities of selecting a certain number of white or black balls after any number of trials. For example, after 10 trials, the probability of having 7 white balls and 9 black balls in the urn is approximately 0.055.
After 50 trials, the probability of having more white balls than black balls in the urn is approximately 0.989. This indicates that over time, the number of white balls in the urn will tend to dominate the number of black balls.
Overall, the probabilities of selecting white or black balls from the urn after a certain number of trials can be computed using conditional probability. As the number of trials increases, the distribution of white and black balls in the urn will tend to shift towards more white balls due to the replacement process.
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please tell me the right answer
jada jumped rope for 15 mins.. what percentage of diegos time is that? (diegos time is 20 mins)
Answer:
103 percent
just divide 20 by 15 and multiply the answer by 100 to convert to percentage form bro
For which equation is b = 3 the solution? O b + 6 = 10 Ob+8=11 o 5-b=8 Ob-6 = 9
Substitute the value of b in the equation to check which equation satisfy the value of b.
For b + 6 = 10,
\(\begin{gathered} 3+6=10 \\ 9\ne10 \end{gathered}\)b = 3 is not solution of equation.
For b + 8 = 11,
\(\begin{gathered} 3+8=11 \\ 11=11 \end{gathered}\)So b = 3 is solution of equation b + 8 = 11.
For equation 5 - b = 8,
\(\begin{gathered} 5-3=8 \\ 2\ne8 \end{gathered}\)So b = 3 is not solution of equation.
For equation b - 6 = 9,
\(\begin{gathered} 3-6=9 \\ -3\ne9 \end{gathered}\)So b = 3 is not a solution of equation.
Answer: b + 8 = 11
Graph the sine function on the interval [0, 2pi] . The lowest point on the graph occurs at (____,-1 ).
The lowest point on the graph occurs at point (3π/2, -1)
What is sine function graph?One of the three fundamental functions in trigonometry, along with cosine and tan functions, is the sine function.
The ratio of the opposite side of a right triangle to its hypotenuse is known as the sine x or sine theta.
The sine function graph is sinusoidal in nature. This is a sim=ne wave that have smooth periodic oscillation
The attached graph shows sine function graph plotted with the interval [0, 2pi]
The lowest point is observed to occur at (3π/2, -1)
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The bill for lunch was $7
Answer:
how much money did they have ?
Step-by-step explanation:
Answer:
dang thats alot .............
a baseball player with a career batting average of .300 comes up to bat 75 times in a month. (a) what is the mean number of hits such players should get? (b) what is the standard deviation?
(a) The mean number of hits a baseball player with a career batting average of .300 should get in 75 at-bats is approximately 22.5 hits.
(b) The standard deviation cannot be determined solely based on the batting average; additional information is required.
(a) The mean number of hits can be calculated by multiplying the batting average (.300) by the number of at-bats (75):
Mean number of hits = Batting average × Number of at-bats = 0.300 × 75 = 22.5 hits.
(b) The standard deviation cannot be determined solely based on the batting average because it only provides information about the average success rate per at-bat. The standard deviation requires additional information, such as the variance or distribution of hits among the at-bats.
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the graph of f is shown in the figure to the right. let a(x)= be two area functions for f
A function is a function that represents the area under a curve. In this case, f is the curve being considered. The function a(x) represents the area under the curve of f from x=0 up to x.
So, if we want to find the area under the curve of f from x=0 up to x=3, we would evaluate a(3) - a(0). This would give us the total area under the curve of f from x=0 to x=3. Similarly, if we have another area function, say b(x), that represents the area under the curve of f from some other starting point (e.g. from x=1), we would use b(x) to find the area under the curve of f from x=1 up to some other x value.
The graph of f, displayed in the figure to the right, represents a function that can be analyzed using various mathematical concepts. In this case, we can consider two area functions for f, denoted as A(x) and B(x), which would allow us to evaluate the areas under the curve of the graph with respect to the x-axis. These area functions can be used to understand properties and behaviors of the function f in different regions of the graph.
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What is the value of x in 6 - 4x = 7x - 9x + 10
Answer:
\(x=-2\)
Step-by-step explanation:
So we have the equation:
\(6-4x=7x-9x+10\)
First, combine like terms on the right:
\(6-4x=-2x+10\)
Add 4x to both sides. The left cancels:
\(6=2x+10\)
Subtract 10 from both sides. The right cancels:
\(-4=2x\)
Divide both sides by 2:
\(x=-2\)
So, the value of x is -2.
And we're done!
Step-by-step explanation:
\(6 - 4x = 7x - 9x + 10 \\ 6 - 4x = - 2x + 10 \\ 6 - 10 = - 2x + 4x \\ - 4 = 2x \\ x = \frac{ - 4}{2} \\ x = - 2\)
hope it helped you:)
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
write an equation for the line that has slope undefined and goes through the point
(1,2)
write the equation in slope-intercept form
The equation of the line with an undefined slope that passes through (1, 2) is expressed in slope-intercept form as: x = 1.
What is the Equation of a Line in Slope-intercept Form?If a line has an undefined slope, it means the line is a vertical line that intercepts only the x-axis at a point. The equation of this type of line can be expressed in slope-intercept form as x = b, where b is the x-coordinate of the point it passes through.
We are given that a line with an undefined slope passes through the point, (1, 2). The x-coordinate of this point is 1. This means the line intercepts the x-axis at 1.
Thus, in slope-intercept form, we can write the equation of this line as x = 1.
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Compute the value: 5+ 6+ 7+ 8+9+...+200 52. (4) Consider the sequence (bi) defined as follows: b₁-4, and b=3b4-1 for k>1. Find the term bio.
The calculated value of the tenth term, b₁₀ of the sequence is 78732
How to calculate the tenth term, b₁₀ of the sequenceFrom the question, we have the following parameters that can be used in our computation:
b₁ = -4
bₙ = 3bₙ₋₁
The above means that
We multiply the current term by 4 to get the next term
So, we have
b₂ = 3 * 4 = 12
b₃ = 3 * 12 = 36
b₄ = 3 * 36 = 108
b₅ = 3 * 108 = 324
b₆ = 3 * 324 = 972
b₇ = 3 * 972 = 2916
b₈ = 3 * 2916 = 8748
b₉ = 3 * 8748 = 26244
b₁₀ = 3 * 26244 = 78732
Hence, the tenth term, b₁₀ of the sequence is 78732
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Joshua bought new tiles that measure 1.25 feet in length for his bathroom floor. If Joshua places 16 tiles in a row, how long will the tiles span?
Answer:
20
Step-by-step explanation:
1.25 * 16
An image of a rhombus is shown.
A rhombus with a base of 21 inches and a height of 19 inches.
What is the area of the rhombus?
160.5 in2
80 in2
399 in2
199.5 in2
There are three areas of rhombus.
Using Diagonals A = ½ × d1 × d2
Using Base and Height A = b × h
Using Trigonometry A = b2 × Sin(a)
Here, we have only the height and base, so formula 2 can be used.
A = b x h = 21 * 19 = 399 inches.
one year, the population of a city was 359,000. several years later it was 420,030. find the percent increase.
Answer:
17%
Step-by-step explanation:
What is 12.5% of 72?
A. 9
B. 10
C. 12.5
D. 90
Answer:
9
Step-by-step explanation:
12.5/100 = 0.125
Since there were 2 zeros, we took the point 2 places back.
0.125 in fraction = 1/8
1/8 x 72/1 = 9/1
= 9
Answer:
A. 9
Step-by-step explanation:
% = 1\100
SO..
12.5% = 12.5\100
the word 'of' is the same as the mathematical multiply.
12.5\100 x 72 = 9
Write the equation for the parabola with vertex (1,6) and x intercepts (3,0) and (-2,0)
The x-intercepts of the parabola are (3,0) and (-2,0)
Knowing the roots of the quadratic formula you can express the factorized form:
\(f(x)=(x-3)(x+2)\)Next, solve the multiplication of the parentheses terms by multiplying each term of the first parentheses by each term of the second parentheses
\(\begin{gathered} f(x)=(x\cdot x)+(x\cdot2)+(-3\cdot x)+(-3\cdot2) \\ f(x)=x^2+2x-3x-6 \\ f(x)=x^2-x-6 \end{gathered}\)A straw that is 15cm long leans against the inside of a glass. The diameter of a glass is
5cm, and has a height of 8cm. How far past the edge of the glass would the straw extend?
Round your answer to the nearest tenth.
The straw would extend approximately 4.9 cm past the edge of the glass.
Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10
Answer:
\(\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)\).
Step-by-step explanation:
Multiply both sides by \((1/5)\) and simplify:
\(\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32\).
\(\displaystyle (10)^{z/4} = \frac{32}{5}\).
Take the base-\(10\) logarithm of both sides:
\(\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)\).
\(\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)\).
\(\displaystyle z = \log_{10}\left(\frac{32}{5}\right)\).