plss help me quickly tyyy
either question 5 or six cus I need the explanation:)))
Answers
Find FM using Pythagoras Theorem:
We're not after c^2 using pythag - rearrange it:
It don't matter were the B or A is in the equation - it'll give u the missing length you're after.
c^2 - b^2 = a^2
8^2 - 5^2 = a^2
Square root both sides to get A on its own
A= root 8^2 - 5^2
= root 39
= 6.24499....
Or
6.24cm, but FM is root 39 I'll use throughout, even if I use 6.24 in calculations, it's to make things clearer for you.
Create diagonal line from B to E - drawing right-angle triangle A to B to E back to A.
AB is 16cm
AE is 8cm - given above
(because the triangle at the front & back are the same.)
Use Pythagoras Theorem for length BE:
a^2 + b^2 = c^2
16^2 + 8^2 = c^2
Square root
C = root 16^2 + 8^2
= 8 root 5
= 17.8885...
8 Square root 5 - I'll use for BE
Creat another triangle to find the angel -
B to E to (M between the length AD)
However, diagonal line B to M needed.
So, m is the mid-point of the base triangle, pretend to slice it in half from point M - this creates a mini rectangle. (ABM to MA - with M on side AD)
Now use this to find B to M:
(if MC is 5cm, BM is 5cm - on length BC)
C = root 16^2 + 5^2
= root 281
= 16.76305...
= 16.76
Create right-angle triangle:
Be to M back to B
BE= 8 root 5
EM = root 39
MB = root 281
So, the angle will be from EB to M.
EB is the hypotenuse
BM is the adjacent
AH means Cah, but the inverse
Cos-1(a/h)
Cos-1(root 281 / 8 root5) = 20.4326...
Thus, angle we're after is 20.43 degrees to 2.dp
(The easiest way for me to explain - it took a while)
Hope this helps!
Related Questions
Which of the following statements about operations with fractions is not correct?
To divide, flip the second fraction and then multiply.
O Multiply across fractions with different denominators.
O Change a mixed number to a fraction first.
Add and subtract across fractions with different denominators.
Answers
Answer:
D is incorrect.
Step-by-step explanation:
In order to add or subtract fractions, they must have the same denominators
A company spends $80 to set up their printer
to print a specific t-shirt design. The company
charges $10 per shirt. Which inequality best
represents x, the number of t-shirts the
company needs to sell to pay for set-up costs
and earn a profit of at least $200?
Answers
Answer:
The Answer is Option D.
Step-by-step explanation:
The Company spends $80 on the printer so whatever amount of shirts multiplied by $10 each should be subtracted by 80. There should also be a greater than or equal to symbol to the left side of the equation to show it can be 200 dollars or more. This matches Option D. Plz Give Brainliest and have a good day!
volume of a cone = r²h,
where r is the radius and h is the height.
A frustum is formed by removing a small cone from a similar, larger cone, as
shown below.
a) Calculate the radius of the original large cone.
b) Calculate the volume of the frustum to the nearest integer.
50 m height
10 m height of frustum
6m radius of frustum
Answers
Answer:
7.5 m 457.5\(\pi\) \(m^{2}\)
Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = \(\frac{1}{3} \pi r^{2}h\).
Original Cone = \(\frac{1}{3} \pi r^{2}h\) = \(\frac{1}{3} \pi *7.5^{2}*50\) = 937.5\(\pi\)
Smaller Cone = \(\frac{1}{3} \pi r^{2}h\) = \(\frac{1}{3} \pi *6^{2}*40\) = 480\(\pi\)
Frustum = 937.5\(\pi\) - 480\(\pi\) = 457.5\(\pi\)
Simplify.
√240
O 4√15
O 6√40
O 2√30
O 10√/24
Answers
The answer will be 4√15 after simplification which is an irrational number.
What are Irrational numbers?The group of real numbers known as irrational numbers is those that cannot be written as a fraction of the form p/q, where p and q are integers. Additionally, the decimal expansion of an irrational integer is neither terminating nor recurring.Irrational numbers are real numbers that cannot be expressed as a straightforward fraction. These cannot be stated as ratios, such as p/q, where p and q are integers, q0.The given question is √240:
Now, calculate as follows:
= √2*2*2*3*2*5=2*2*√3*5= 4√15Therefore, the answer will be 4√15 after simplification which is an irrational number.
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On Monday, a bakery sold 67 dozen cookies. How many total cookies did the bakery sell?
Answers
Answer:
804
Step-by-step explanation:
dozen means 12
67 times 12 is 804
In this problem, we need to use multiplication to find the answer
Since we know that the bakery sold 67 dozen cookies on Monday and a dozen means 12, we need to multiply 67 and 12. We get:
67 × 12 = 804
Hope this helps :)
bat
Name
1. Complete each more or less statement.
2
a. 1 more than 66 is
b. 10 more
c. 1 less than 66 is
d. 10 less
e. 56 is 10 more than
f. 88 is 1
Answers
5. To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. Which is the slowest average rate, in minutes per mile, Nora could run to qualify for the state cross-country championships?
a) 7.2 b) 7.4 c) 7.5 d) 7.8
Answers
Nora could run 7.5 minutes per mile to qualify for the state cross-country championships. The correct answer is option c.
To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. So, her average rate should be:
average rate = total time / total distance
If she runs at the slowest rate possible to still qualify, then her average rate would be:
average rate = 30 / 4 = 7.5 minutes per mile
Therefore, the correct option is c) 7.5.
If she runs slower than this average rate, then her total time would exceed 30 minutes and she would not qualify.
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Charlotte is going to drive from her house to City A without stopping. An
equation that determines Charlotte's distance from City At hours after
leaving her house is D = -30t +300. What is the y-intercept of the
equation and what is its interpretation in the context of the problem?
Answers
Answer: To find Y intercept means
T=0, so replace T with 0 and solve equation
it is equal to
300
Here is what I did to find the answer, If have any other question add me on discord Acathia#0103, i can help you with any other problems
two basketball teams play until one team wins two games. team a has probability 0.6 of winning each game while team b has probability of 0.4 of winning each game. if team a wins the first game what is the probability team b wins the series?
Answers
Answer:
0.16
Step-by-step explanation:
You want the probability that team b will win 2 games in a row, given that the probability of team a winning is 0.6, and the probability of team b winning is 0.4.
OutcomesAfter one win for team A, the series can have the possible outcomes ...
A – team a wins with probability 0.6
BA – team a wins with probability (0.4)(0.6) = 0.24
BB – team b wins with probability (0.4)(0.4) = 0.16
The probability of team b winning the series is 0.16.
__
Additional comment
The probability team a wins the series after winning the first game is 0.6 +0.24 = 0.84 (= 1 -0.16). At the beginning of the series, the probability b wins is 0.352, dropping dramatically after a wins the first game.
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The probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.
What is probability?
Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.
To determine the probability that Team B wins the series after Team A wins the first game, we need to consider the different possible outcomes of the remaining games.
Since the series continues until one team wins two games, there are three possible scenarios:
Team A wins the next game (Team A wins the series)
Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1)
Team B wins both the next and third games (Team B wins the series)
We'll calculate the probabilities of these scenarios and then determine the probability of Team B winning the series.
Scenario 1: Team A wins the next game (Team A wins the series):
The probability of Team A winning the next game is 0.6.
Scenario 2: Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1):
The probability of Team B winning the next game is 0.4.
The probability of Team A winning the third game is 0.6.
To calculate the probability of this scenario, we multiply the individual probabilities:
Probability = 0.4 * 0.6 = 0.24
Scenario 3: Team B wins both the next and third games (Team B wins the series):
The probability of Team B winning the next game is 0.4.
The probability of Team B winning the third game is 0.4.
To calculate the probability of this scenario, we multiply the individual probabilities:
Probability = 0.4 * 0.4 = 0.16
To find the probability of Team B winning the series, we add the probabilities of Scenario 2 and Scenario 3 since both outcomes result in Team B winning the series:
Probability = 0.24 + 0.16 = 0.4
Therefore, the probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.
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A researcher is studying the failure rate of restaurants. She selects a random sample of 200 restaurants in large cities that opened within the last year. Following up on these restaurants, she finds that 80 had failed within five years. Reference: Ref 8-6 If the confidence level is decreased to 95%, the confidence interval for the proportion of restaurants that fail within five years will be: narrower and have a smaller chance of capturing the true proportion of restaurants that fail with five years. wider and have a smaller chance of capturing the true proportion of restaurants that fail with five years. wider and have a higher chance of capturing the true proportion of restaurants that fail with five years. narrower and have a higher chance of capturing the true proportion of restaurants that fail with five years.
Answers
If the confidence level is decreased to 95%, the confidence interval for the proportion of restaurants that fail within five years will be narrower and have a smaller chance of capturing the true proportion of restaurants that fail within five years.
When the confidence level is decreased, the width of the confidence interval decreases. This means that the range of values within which the true proportion of restaurants that fail within five years is likely to lie becomes narrower. However, as the interval becomes narrower, there is a smaller chance of capturing the true proportion, as there is less room for variation.
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Can somebody help me, please
Answers
Answer:
uh I don't even know what this is
Answer: x = 500
Step-by-step explanation:
Use the Pythagorean Theorem
a²+b²=c²
300² + 400² = x²
90000 + 160000 = x²
250000 = x²
√250000 = √x²
500 = x
hope i explained it :)
Find the mean, X, of the data.
95, 80, 191, 86, 122, 86
x= [?]
Answers
The mean (x) of the data, 95, 80, 191, 86, 122, 86 is 110.
In the question, the following data is given, 95, 80, 191, 86, 122, 86.
The total number of data = 6
Mean (x) = ?
∴ Mean (x) = Sum of all data/ Number of all data
∴ Mean (x) = 95+80+191+86+122+86/ 6
= 660/6
∴ Mean (x) = 110
Therefore, the mean(x) of the given data, 95, 80, 191, 86, 122, 86 is 110.
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A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Answers
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
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Graph the line: 6 - 3y = 2x
Answers
6-3y=2x
-3y=2x-6
y=(2x-6)/-3
y=-(2/3)x+2
No me deja adjuntar la imagen de la gráfica, te recomiendo una página de internet llamada Desmos
X=0
y=-(2/3)(0)+2=2
(0,2)esmos
x=3
y=-(2/3)(3)+2=-2+2=0
(3,0)
x=-3
y=-(2/3)(-3)+2=2+2=4
(-3,4)
What is the name given to the ordered pair(0, 0) ?
The orgin
the y coordinate
the orderd pair
the X coordinate
Answers
\({ \green{ \tt{the \: origin}}}\)
The name given to the ordered pair (0,0) is the origin.
Answer:
a) The orgin
Step-by-step explanation:
Now we have to,
→ find the name of the ordered pair.
The coordinates are,
→ (0,0)
{It is the origin, where both axis collides}
Hence, the option (a) is correct.
What is the probability that 5 hearts are chosen, if 7 cards are chosen from a well-shuffled deck of 52 playing cards?
a) 0.00000049
b) 0.00000026
c) 0.00712838
d) 0.00000962
e) 0.00000016
f) None of the above.
Answers
The probability that 5 hearts are chosen when 7 cards are drawn from a well-shuffled deck of 52 playing cards is option (d) 0.00000962.
Step 1: Determine the total number of ways to choose 7 cards from a deck of 52 playing cards, which can be calculated using the combination formula: C(52, 7) = 52! / (7! * (52 - 7)!), where "!" denotes the factorial.
Step 2: Determine the number of ways to choose 5 hearts from the deck. There are 13 hearts in a standard deck, so we can calculate the number of ways to choose 5 hearts from 13: C(13, 5) = 13! / (5! * (13 - 5)!).
Step 3: Calculate the probability by dividing the number of favorable outcomes (choosing 5 hearts) by the total number of possible outcomes (choosing 7 cards from the deck): P(5 hearts) = C(13, 5) / C(52, 7).
Step 4: Evaluate the probability numerically using a calculator or math software, and the result is approximately 0.00000962.
Therefore, the correct answer is option (d) 0.00000962.
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Write the measurements for the angles.
Answers
Answer:
1: 45
2: 135
3: 45
4: 135
5: 60
6: 120
7: 60
8: 120
9: 75
10: 105
11: 75
12: 105
Step-by-step explanation:
1, 2, 3, and 4 and 9, 10, 11, and 12 can be solved using the vertical angle and supplementary angle rules. Vertical angles are always the same and supplementary angles always add up to 180. But to find 5, 6, 7, and 8, you need to find 5 using the rule where all the angles in a triangle add up to 180. Since we know the angles for 9 and 3, we can find the angle 5 and then we can finish finding the rest of the angles.
I hope this helps!
Solve each equation. 15 = t - 25 m6 = 18 5d = 75 94 = g + 32
Answers
Answer:
1, t = 40
2, m = 3
3, d = 15
4, g = 62
Step-by-step explanation:
15 = t - 25
+25. +25
40 = t
M6/6 = 18/6
m = 3
5d/5 = 75/5
d = 15
94 = g + 32
-32. -32
62 = g
Cold weather can be especially hard on Barbara's grandfather, so Barbara is knitting him a striped scarf for his birthday. The scarf is almost finished when Barbara discovers a mistake! She has to unravel 0.5 feet of the scarf, and now the remaining part is only 3.75 feet long.
Use an equation to find the length of the scarf before it's unraveled.
Answers
Answer:
4.25 feet
Step-by-step explanation:
3.75+0.5=4.25 ft
.53х^2 – .6х^3
Standard form
Answers
well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)
Question
Write 5x−y=14 in slope-intercept form.
Answers
Move over the 5x, making it look like, -y=-5x+14
Then, just simply divide by the negative one in front of the y.
y=5x-14.
Say whether the given function has limit at the point (0,0). If the limit exists, then find it. (a) f(x, y) = 5ry² 3x² + y² (Hint: the parabola z = - y²); (b) f2(x, y) = Vel+V sin(y). (Hint: [√x + √] × [√ √U] ...). [2,3]
Answers
(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).
(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).
(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.
Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).
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quotient of -2 1/2 and -3 1/3
Answers
The quotient of -2 1/2 and -3 1/3 is = 9/16
Define quotient?In the end, the quotient is what we obtain when we divide a number. Putting things into equal groups is a division operation in mathematics. It is symbolised by the glyph (). For instance, there are three groups of 15 balls each that must be distributed equally.
When we divide the balls into three equal groups, the division formula is 15/3 = 5. The quotient is 5 in this case. This indicates that each set of balls will include five balls.
In this case let us first convert the improper fractions into proper fractions:
-2 1/2 = -4+1/2 = -3/2
-3 1/3 = -9+1/3 = -8/3
Now to find the quotient we have to multiply the fraction's reciprocals:
-3/2 × 3/-8
= -9/-16
=9/16
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if necessary, how can a student determine the change in angular momentum δlδl of the cylinder from t=0t=0 to t=t0t=t0?
Answers
To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:
ΔL = I * Δω
where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.
To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:
Δω = ωt0 - ω0
Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.
The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:
I = (1/2) * m * r^2
where m is the mass of the cylinder and r is the radius of the cylinder.
By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.
It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.
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Mr. Bulky’s Candy Emporium sells all candy items for $0.60 per ounce. Penny and Ruth each bought several different types of candy.
Answers
Answer: what’s the rest of the question? You didn’t provide enough data…✨
Step-by-step explanation:
the mean corporation operates out of two major cities, city a and city b. it has a head office for each city and each office has thousands of employees. a computer competency exam is administered to all staff in each head office and the results are recorded. the ceo decides that he would like to compare the performance of the two offices. he labels the two groups of staff city a and city b and looks at their distribution of scores.The CEO is told that both City A and City B have the same mean score. However, City A is ____consistent than City B because the standard deviation for City A is _____ than the standard deviation for City B.
Answers
Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.
Define standard deviation.Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.
Here,
It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."
If City A is more reliable than City B, then City A will have a lower standard deviation.
A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.
So, the appropriate answer is:
The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.
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If f(x)=x^2-4x-2 find the following values.
F(2)=
F(4)=
F(-3)=
Answers
Answer:
A. f(2)=−6
B. f(4)=−2
C. f(-3)=19
Step-by-step explanation:
a) f(x)=x^2-4x-2
f(2)=2²−(4)(2)−2
f(2)=2²−(4)(2)−2
f(2)=4+−8+−2
f(2)=(4+−8+−2)(Combine Like Terms)
f(2)=−6
b) f(x)=x^2-4x-2
f(4)=4²−(4)(4)−2
f(4)=4²−(4)(4)−2
f(4)=16+−16+−2
f+4)=(16+−16+−2)(Combine Like Terms)
f(4)=−2
c) f(x)=x^2-4x-2
f(-3)=(−3)²−(4)(−3)−2
f(-3)=(−3)²−(4)(−3)−2
f(-3)=9+12+−2
f(-3)=(9+12+−2)(Combine Like Terms)
f(-3)=19
Plss I need this answer....pls help me. Explain this question and answer it.
Answers
Answer:
Figure three is the odd one out
Step-by-step explanation:
it is different from the other figures. The other figures are all the same, they're just rotated. Figure three is different from all of them though
Consider a population of 200 with a mean of 55 and a standard deviation equal to 25. What is the probability of obtaining a sample mean of 58 or less from a sample of 50? Click here to view page 1 of the Cumulative Standardized Normal Table. Click here to view page 2 of the Cumulative Standardized Normal Table. C. What is the probability of obtaining a sample mean of 58 or less from a sample of 50? Pis58) = 0 (Round to four decimal places as needed.)
Answers
The probability of obtaining a sample mean of 58 or less from a sample of 50 is 0.
To calculate the probability, we need to use the Central Limit Theorem, which states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases.
With a population mean of 55 and a standard deviation of 25, we can calculate the standard error of the mean using the formula: standard deviation / square root of sample size. In this case, it is 25 / √50 ≈ 3.54.
To find the probability of obtaining a sample mean of 58 or less, we need to standardize the sample mean using z-scores. The formula for the z-score is: (sample mean - population mean) / standard error. Plugging in the values, we get (58 - 55) / 3.54 ≈ 0.85.
To find the corresponding probability, we can refer to the cumulative standardized normal table. However, the provided result of 0 suggests that the probability of obtaining a sample mean of 58 or less is extremely low.
It indicates that the observed sample mean is significantly higher than the population mean, given the given population parameters.
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Data analysis and probability unit test
Answers
Students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific Experiment.
The probability is a measure of the possibility of an event happening. It is expressed as a fraction or decimal between 0 and 1, or as a percentage between 0% and 100%. Probability can be used to determine the likelihood of an event happening or not happening.
Data analysis is the process of analyzing data to extract valuable insights from it. It involves examining data sets to uncover trends, patterns, and relationships that can be used to make informed decisions. Data analysis is an important tool in many fields, including business, finance, and science.
The data analysis and probability unit test assesses students' understanding of these concepts and their ability to apply them in real-world situations.
The test typically includes questions that require students to use probability to determine the likelihood of an event happening or not happening, as well as questions that ask students to analyze data sets to extract valuable insights.In order to prepare for the data analysis and probability unit test, students should review the key concepts and formulas related to probability, such as the addition rule, the multiplication rule, and the complementary rule.
They should also practice analyzing data sets using tools like histograms, scatter plots, and box plots, and should be familiar with key concepts like mean, median, and mode.
Finally, students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific experiment.
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