Answer: Choice B
A net is shown with a pentagon in the middle and 5 identical triangles on the 5 sides of the pentagon
The pentagon forms the base of the pentagonal pyramid. Each lateral side is a triangle that meets at the very top of the pyramid. The base stays on the floor while the sides are folded up.
---------------------------
There are other possible net configurations to form a pentagonal pyramid, but the other answer choices do not make a pentagonal pyramid.
Choice A produces a square pyramid. Choice C makes a triangular pyramid (aka tetrahedron). Choice D makes a hexagonal pyramid.So we can rule choices A, C and D out.
Answer:
B
Step-by-step explanation:
\(\frac{4}{\sqrt{5}-1 } -\frac{4}{\sqrt{5}+1\\ }\)
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\(join \: bunny \: squad\)
\(join \: bunny \: squad\)
btw,, the formula you insert is incorrect:)
Answer:
haysst pa brainliest po
salamat sa ponts
A bottle-filling machine is set to dispense 12.1 fluid ounces into juice bottles. To ensure that the machine is filling accurately, every hour a worker randomly selects four bottles filled by the machine during the past hour and measures the contents. If there is convincing evidence that the mean amount of juice dispensed is different from 12.1 ounces or if there is convincing evidence that the standard deviation is greater than 0.05 ounce, the machine is shut down for recalibration. It can be assumed that the amount of juice that is dispensed into bottles is normally distributed. During one hour, the mean number of fluid ounces of four randomly selected bottles was 12.05 and the standard deviation was 0.085 ounce. Perform a test of significance to determine whether the mean amount of juice dispensed is different from 12.1 fluid ounces. Assume the conditions for inference are met.
Answer:
Step-by-step explanation:
a) The critical t-values are approximately -3.182 and +3.182.
b) If a type I error is committed in this test, it means that the null hypothesis (H₀) is incorrectly rejected when it is actually true.
Here, we have,
a) To perform a test of significance to determine whether the mean amount of juice dispensed is different from 12.1 fluid ounces at =0.05, we can follow these steps:
Given:
Sample mean (x) = 12.05 fluid ounces
Standard deviation (s) = 0.085 ounce
Sample size (n) = 4
Population mean (μ) = 12.1 fluid ounces
Step 1: State the hypotheses.
Null hypothesis (H₀): The mean amount of juice dispensed is equal to 12.1 fluid ounces. (μ = 12.1)
Alternative hypothesis (H₁): The mean amount of juice dispensed is different from 12.1 fluid ounces. (μ ≠ 12.1)
Step 2: Select a significance level.
The significance level (α) is given as 0.05.
Step 3: Compute the test statistic.
Since the population standard deviation is unknown and the sample size is small (n < 30), we'll use a t-test.
The formula for the t-test statistic is:
t = (x - μ) / (s / √n)
Plugging in the values:
t = (12.05 - 12.1) / (0.085 / √4)
Step 4: Determine the critical value.
Since it's a two-tailed test and α = 0.05, we divide the significance level by 2 to get α/2 = 0.025.
The degrees of freedom (df) for a sample size of 4 is n - 1 = 3.
We can find the critical t-values using a t-table or a t-distribution calculator.
For α/2 = 0.025 and df = 3,
the critical t-values are approximately -3.182 and +3.182.
Step 5: Make a decision.
If the calculated t-value falls within the critical region (beyond the critical t-values), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
Step 6: Calculate the p-value.
Alternatively, we can calculate the p-value associated with the t-value and compare it to the significance level. If the p-value is less than the significance level (0.05), we reject the null hypothesis.
Without the specific values for the mean, standard deviation, and sample size, it is not possible to perform the calculations required for Steps 3-6. Please provide those values, and I can help you complete the test of significance.
b) If a type I error is committed in this test, it means that the null hypothesis (H₀) is incorrectly rejected when it is actually true. In the context of the situation, this would lead to the machine being shut down for recalibration even though there is no convincing evidence that the mean amount of juice dispensed is different from 12.1 fluid ounces. It would result in unnecessary machine downtime and potential costs for recalibration.
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complete question:
A bottle-filling machine is set to dispense 12.1 fluid ounces into juice bottles. To ensure that the machine is filling accurately, every hour a worker randomly selects four bottles filled by the machine during thepast hour and measures the contents. If there is convincing evidence that the mean amount of juice dispensed is different from 12.1 ounces, the machine is shut down for recalibration. It can be assumed that the amount of juice that is dispensed into bottles is normally distributed. During one hour, the mean number of fluid ounces of four randomly selected bottles was 12.05 and the standard deviation was 0.085 ounces.
a) Perform a test of significance to determine whether the mean amount of juice dispensed is different from 12.1 fluid ouncesat=0.05.
b) Suppose you commit a type I error in this test, what would be a logical consequence of the machine given the context of the situation?
I need help on these long division questions
Answer:
2480, 2444, 30073, 4761, 117660
Step-by-step explanation:
problem of volume that equals 1
Answer:
l=1
b =1
h=1
vol=l×b×h
=1×1×1
=1
The equation of line p is y+2=-8/9(x–2). Line q is perpendicular to line p and passes through (7,7). What is the equation of line q?
Answer:
8y = 9x - 7
Step-by-step explanation:
perpendicular means we take the slope as the negative reciprocal.
so
slope is 9/8
y=mx+b
b is -7/8
so the answer is
y=(9/8)x - 7/8
or 8y = 9x - 7
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
The range of the quadratic function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.
What is the range of a quadratic equation?
In this case we have a quadratic equation whose domain is stated. The domain of a function is the set of x-values associated to only an element of the range of the function, that is, the set of y-values of the function. We proceed to evaluate the function at each element of the domain and check if the results are in the choices available.
x = - 9
y = (2 / 3) · (- 9)² - 6
y = 48
x = - 6
y = (2 / 3) · (- 6)² - 6
y = 18
x = - 3
y = (2 / 3) · (- 3)² - 6
y = 0
x = 0
y = (2 / 3) · 0² - 6
y = - 6
x = 3
y = (2 / 3) · 3² - 6
y = 0
x = 6
y = (2 / 3) · 6² - 6
y = 18
x = 9
y = (2 / 3) · 9² - 6
y = 48
The range of the quadratic function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.
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1 hundred thousand 4 tens 3 ones 3 thousand and 7 hundred
Answer: Simplified it would be 103,743
Hope this helps! :)
You have saved $ 50 . Each month you add $ 10 more to your savings.b. How much have you saved after six months?
Answer: $110
Step-by-step explanation: 50+10*6=50+60=110
f(x) = x ^ 2 - 8x + 7
Do the minima of the two functions have the same x-value?
Which of the functions has the greater minimum?
Find the area of the polygon.
AB and BC are tangents to P. What is the value of x? A satellite is 13,200 miles from the horizon of Earth.
AB and BC are tangents to P. The value of x is 3200
AB and BC are tangents to PThe below-given diagram is as follows: AB and BC are two tangents to point P on the circle with center O. To find the value of x, we need to apply a theorem.
Theorem: The tangent at any point of a circle is perpendicular to the radius through the point of contact.Proof: Given a circle with center O. Let the tangent be AB and it touches the circle at point P.Let OP be the radius. Join PA and PB. It is to be proved that OA is perpendicular to AB.
Because OP is the radius of the circle, then OP is perpendicular to AB.To prove the theorem, we only need to show that OA coincides with OP.
Construction: Join OA and extend it to meet AB at Q. To prove that OP coincides with OA, we need to show that OP = OA. Join PB and extend it to meet OA at R. By the Angle Sum Property of a Triangle in ∆OAP,
∠POA + ∠OPA + ∠OAP = 180°
By the Angle Sum Property of a Triangle in ∆OPB,
∠PBO + ∠PBO + ∠OBP = 180°
Because O is the center of the circle, hence OP is equal to OB. Therefore,
∠POA + ∠OPA + ∠OAP = ∠PBO + ∠PBO + ∠OBP∠POA + ∠OPA + 90° = ∠PBO + ∠PBO + 90°
Adding 90° to both sides,
∠POA + ∠OPA + 180° = ∠PBO + ∠PBO + 180°∠POA + ∠OPA = ∠PBO + ∠PBO ……….. (1)
In ∆POR,
∠ROP + ∠RPO + ∠POR = 180°
∠ROP + 90° + ∠POR = 180°
∠ROP + ∠POR = 90° ……….. (2)
In ∆ROB,
∠ORB + ∠RBO + ∠OBM = 180°
∠ORB + 90° + ∠OBP = 180°
∠ORB + ∠OBP = 90° ……….. (3)
From equation (1), we have
∠POA + ∠OPA = ∠PBO + ∠PBO
From equation (2) and (3), we have
∠ROP + ∠POR = ∠ORB + ∠OBP
Substituting, we get
∠ROP + ∠POR = ∠ORB + ∠OBP∠ROP + ∠POR = ∠ROP + ∠RBO∠POR = ∠RBO ……….. (4)
Now, In ∆RPO and ∆RBO
∠RPO = ∠RBO (From equation 4)
∠POR = ∠OBP∆RPO ≅ ∆RBO(OP = OB,
∠RPO = ∠RBO, ∠POR = ∠OBP)RP = RB ……….. (5)
Therefore, OAPB is a parallelogram(OP || AB). From the figure, we can see that 13,200 = x + 9,000. Simplifying, we have:
3200 = x
Therefore, x = 3200Thus, the value of x is 3200.
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Complete Question
The complete question is: "In the given diagram, AB and BC are tangents to point P on the circle with center O. The value of x is 3200. What is the value of x?"
I purchased 3.4 pounds of apples for $7.29. What is the cost per pound? I need the answer fast.
Answer:
The answer is $2.14 per pound of apples.
Step-by-step explanation:
7.29/3.4= roughly 2.14.
Answer:
is 24.786
Step-by-step explanation:
multiply the numbers and that's how you get your answer and I use my calculator so I know the answer is 24.786
There are y learners in class 9T. Mrs. Leclerc shares 85 pencils between the learners in class 9T. Each learner gets 5 pencils. Write an equation to represent this situation
Equation: y * 5 = 85
In this equation, 'y' represents the number of learners in class 9T, and '5' represents the number of pencils each learner receives. The equation states that the product of the number of learners (y) and the number of pencils each learner receives (5) is equal to the total number of pencils (85) that Mrs. Leclerc shares among the learners.
This equation can be used to solve for the value of 'y' by dividing both sides of the equation by 5. By doing so, we can determine the number of learners in class 9T based on the given information about the number of pencils shared.
For example, if we divide 85 by 5, the result is 17. Therefore, there are 17 learners in class 9T.
In summary, the equation y * 5 = 85 represents the situation where Mrs. Leclerc shares 85 pencils between the learners in class 9T, with each learner receiving 5 pencils. By solving the equation, we can find the number of learners in the class, which in this case is 17.
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What’s the simplest form?
Answer:
slope = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 6, 6) and (x₂, y₂ ) = (- 3, - 3)
m = \(\frac{-3-6}{-3-(-6)}\) = \(\frac{-9}{-3+6}\) = \(\frac{-9}{3}\) = - 3
The area a of a circle is pi times the radius R squared as an equation
Answer:
pi r squared
Step-by-step explanation:
A=pir2
pi is 3.14
hope it helps
8. Jim's grocery store sells packs of 6 cookies. John's grocery store sells packs of 9 cookies. If they both sold the same amount of cookies yesterday, what is the least amount they could have sold?
The items a to e that follow show the number of sides of a regular polygon. For each item, find the sum and the individual value of the interior angles.
a) 15 sides
b) 20 sides
c) 3 sides
d) 4 sides
e) 100 sides
For the polygon the individual value of the interior angles.
a) 15 sides is 145°
b) 20 sides is 108°
c) 3 sides is 60°
d) 4 sides is 90°
e) 100 sides is 18°
A regular polygon is one where all sides are the same length and all interior angles are the same. The number of sides of a regular polygon can affect the value of its interior angles.
a) 15 sides: The sum of the interior angles of a regular polygon with 15 sides is equal to 2180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 2180 / 15 = 145 degrees per angle.
b) 20 sides: The sum of the interior angles of a regular polygon with 20 sides is equal to 2160 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 2160 / 20 = 108 degrees per angle.
c) 3 sides: The sum of the interior angles of a regular polygon with 3 sides is equal to 180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 180 / 3 = 60 degrees per angle.
d) 4 sides: The sum of the interior angles of a regular polygon with 4 sides is equal to 360 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 360 / 4 = 90 degrees per angle.
e) 100 sides: The sum of the interior angles of a regular polygon with 100 sides is equal to 1800 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 1800 / 100 = 18 degrees per angle.
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A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a CD will last less than 3 years?
a.1.11%
b.10.56%
c.86.65%
d.100%
The probability that a CD will last less than 3 years is approximately 86.65%.
What is the likelihood of a CD lasting less than 3 years?The probability can be determined using the standard normal distribution. Given that the CD's lifespan follows a normal distribution with a mean of 4 years and a standard deviation of 0.8 years, we need to find the z-score for 3 years. The z-score formula is calculated as (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
For 3 years, the z-score is (3 - 4) / 0.8 = -1.25. Using a standard normal distribution table or a calculator, we can find that the probability corresponding to a z-score of -1.25 is approximately 0.1056 or 10.56%.
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How do i make 2 ( x + 3 ) into a no solution problem?
Answer:
By making x = -3
Step-by-step explanation:
If X was -3 then -3 plus 3 equals 0, and 2 multiplied by 0 is 0, so the problem will have no solution.
Hope this helps! :)
What is the slope of the data from the table?
х
11
15
19
у
2
10
18
Answer:
first it's adding 4 then it starts adding 8
Step-by-step explanation:
Answer:
If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate
X = 11 15 19
Y = 2 10 18
m = (y2 -y1)/(x2 - x1)
m = (10 - 2)/(15 - 11)
M = 8/4 = 2
I hope you find this useful.
If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate
X = 11 15 19
Y = 2 10 18
m = (y2 -y1)/(x2 - x1)
m = (10 - 2)/(15 - 11)
M = 8/4 = 2
I hope you find this useful.
Step-by-step explanation:
if testing the claim that σ21≠σ22, what do we know about the two samples if the test statistic is f=1?
When testing the claim that σ21≠σ22, the null hypothesis states that the variances of the two populations are equal, while the alternative hypothesis states that the variances are not equal. To test this claim, we use an F-test, which involves calculating the ratio of the variances of the two samples.
If the test statistic is f=1, this means that the ratio of the variances is equal to 1. This indicates that there is no significant difference between the variances of the two populations. In other words, we cannot reject the null hypothesis that the variances are equal.
However, it is important to note that a test statistic of f=1 does not necessarily mean that the two samples are identical. It is possible for two samples to have slightly different variances that still result in a test statistic of f=1. Additionally, a sample size that is too small or too large can affect the accuracy of the F-test.
Overall, if the test statistic is f=1 when testing the claim that σ21≠σ22, we can conclude that there is not enough evidence to support the alternative hypothesis that the variances are different.
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what will be the value of x after the following code is executed? int x = 10; for (int y=5; y<20; y = 5) x = y;
The value of x after the following code 'int x = 10; for (int y=5; y<20; y = 5) x = y' is executed will be 5.
The given for loop initializes the variable y to 5, then checks if y is less than 20, and then sets y to 5 again in each iteration. This means that the loop will execute only once with the value of y being 5, and after that, the loop condition will always be false because y is never incremented or changed in any way.
During the execution of the loop, the value of y is assigned to the variable x. Therefore, after the loop, the value of x will be 5.
So, the final value of x will be 5.
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What is the Simple Interest on a loan of $725. 00 given at an interest rate of 6% for a period of 3 years?
hehe pls help me! DUGUIETUFGI
Answer:
Napagaralan nmin yan
Step-by-step explanation:
Nakalimutan ko na
π
A sector with a central angle measure of
(in radians) has a radius of 12 cm.
6
||
π
6
What is the area of the sector?
r = 12 cm
Therefore , the solution to the given problem of surface area is the sector's area is 12 square centimeters.
What is surface area ?Surface is a unit used to describe how much overall space a object's surface occupies. A three-dimensional shape's surface area is equal to the sum of its surroundings. The overall surface region of a tri shape is referred to as surface area. The surface area of a cube with six square faces can be calculated by adding up each face's specific area. As an alternative, you can identify the box's measurements using the formula below: Surface (SA) is equal to two times two times two. The total amount of space that a three-dimensional shape takes up is used to determine its surface area.
Here,
The parameters in this case are:
Radius, r = 12 Angle, x = /6
The sector's geographic area is
A = (1/2) × r^2x
We thus have:
A = (1/2) × 12^2 * π/6
Evaluate
A = 12π
Therefore , the solution to the given problem of surface area is the sector's area is 12 square centimeters.
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Consequently, the sector's area is 12 square centimeters in which the parameters are Radius, r = 12 Angle, x =π /6 .
what is circle ?A circle is created when every place in the line that is a specific distance apart from another point does so (center). As a result, it is a curve made up of points that are spaced apart from one another in the plane. It is rotationally symmetric the about center at all angles. Every pair of endpoints in the plane that make up a circle are uniformly distributed out from the "center" and form a closed, two-dimensional object. A specular symmetries line is produced by a line that passes through the circle. It is rotationally equal about the center at all angles.
given
The parameters are as follows:
Radius, r = 12 Angle, x =π /6
The sector's geographic area is
A = (1/2) × r^2x
We thus have:
A = (1/2) × 12^2 * π/6
Evaluate
A = 12π
Consequently, the sector's area is 12 square centimeters in which the parameters are Radius, r = 12 Angle, x =π /6 .
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what is the answer to this problem 2 1/3+3 1/3=?
Answer:
5 2/3
Step-by-step explanation:
help please please please please please please please please
Question 1= $7,620
Question 2 (a) $3,211
Question 2 (b) $9,828
the weights of grapefruits of a certain variety vary according to a roughly normal distribution with a mean of 1 pound and a standard deviation of 0.12 pounds. which of the following is closest to the probability that the total weight of three randomly selected grapefruits is more than 3.4 pounds? responses
The closest answer from the given responses would be 0, indicating a very low probability that the total weight of three randomly selected grapefruits is more than 3.4 pounds.
To find the probability, we can calculate the z-score for the value 3.4 using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Plugging in the values, we have z = (3.4 - 1) / 0.12 = 28.33.
Next, we need to find the probability associated with this z-score. Using a standard normal distribution table or a calculator, we can find the probability corresponding to the z-score of 28.33. However, since the z-score is very large, it is likely to approach the tail of the distribution and the probability will be extremely close to 0.
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Cuboid ABCDEFGH is shown
BC=6.8
DE=9.3
Find the size of the angle between CF and the Plane ABCD
NEEDS ASAP WILL MARK AS BRAINLIEST IF CORRECT
Answer:
The angle formed between CF and the plane ABCD is approximately 47.14°
Step-by-step explanation:
The given parameters are;
BC = 6.8
DE = 9.3
∠BAC = 52°
We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;
sin∠BAC = BC/(The length of a line drawn from A to C)
∴ The length of the line drawn from A to C = BC/sin∠BAC
The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63
∴ AC = 8.63
By trigonometry, we have;
The angle formed between CF and the plane ABCD = Angle ∠ACF
\(tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}\)
\(tan\angle ACF = \dfrac{FA}{AC}\)
In a cuboid, FA = BG = CH = DE = 9.3
\(\therefore tan\angle ACF = \dfrac{9.3}{8.63}\)
\(\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}\)
The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°
surveyor stands 100 m from the base of a tower on which an antenna stands. He measures the angles of elevation to the top and bottom of the antenna as 63° and 58° respectively. Determine the height of the aerial.
Answer: 36.3m
Step-by-step explanation:
To solve this, we can draw two triangle rectangles, where the distance between the man and the base of the tower is one of the cathetus, the adjacent one, the height will be the opposite cathetus.
The triangle where the elevation angle is 58° is associated with the height of the tower without the aerial
The other triangle, where the elevation angle is 63° is associated with the height of the tower with the aerial.
Then we can calculate those two heights, then compute the difference, and the difference will be equal to the height of the aerial.
In both cases we want to calculate the opposite cathetus, then we should use the relation:
Tan(θ) = (Op. cath)/(Adj. cath)
The height without the aerial is h1, let's find it:
Tan(58°) = h1/100m
Tan(58°)*100m = h1 = 160m.
The height with the aerial is h2, let's find it:
Tan(63°) = h2/100m
Tan(63°)*100m = h2 = 196.3m
Then the height of the aerial will be:
h2 - h1 = 196.3m - 160m = 36.3m