Answer:
Step-by-step explanation:
-15
Will all slices created by a slicing plane that passes through a sphere be the same size
Answer:
The suggestion proposed considering special cases, so that’s what we’ll do.
One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.
So if we do manage to get a general formula, we will be able to check it in these special cases.
Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)
Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.
If we recall our answer from that problem, we find the formulae for the surface area
π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.
Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.
Step-by-step explanation:
Answer: no
Step-by-step explanation:
PLEASE HELP FOR ENVIROMENTAL SCIENCE!!!
I NEED HELP I don’t understand
Answer:
Step-by-step explanation:
Whole numbers are numbers such as 0, 1, 2, 3, 4. Irrational numbers are numbers that cannot be represented as a ratio, such as [tex]\sqrt{2}[/tex]. The first one would be false.
Rational numbers are numbers that can be represented as a ratio, like [tex]\frac{4}{5}[/tex] or [tex]\frac{2}{1}[/tex]. Because 4/5 is not a whole number but is a rational number, the second one would be true.
Irrational numbers are numbers that cannot be represented as a ratio. Because integers can be represented as a ratio, since integers are numbers like -2, -1, 0, 1, 2, etc, all irrational numbers are not integers and, therefore, the third one is false.
Using the definition of rational numbers and integers from responses two and three, respectively, this fourth one is false.
What’s the slope???????????????
Answer:
0
Step-by-step explanation:
The slope of a line is obtained thus :
Slope = Rise / Run
Rise = (x2 - x1)
Run = (y2 - y1)
x2 = 3 ; x1 = 0
y1 = - 20 ; y2 = - 20
Slope = (-20 - (-20)) / (3 - 0)
Slope = (-20 + 20) / 3
Slope = 0 / 3
Slope = 0
Hence, the slope or rate of change = 0
An industrial plant claims to discharge no more than 1000 gallons of wastewater per hour, on the average, into a neighboring lake. An environmental action group decides to monitor the plant in case this limit is being exceeded. A random sample of four hours is selected over a period of a week. The observations are 1007, 2226, 2232, 2209.
Required:
a. Find the standard error.
b. To test H0:μ=1000 vs, Ha:μ>1000, find the test statistic. Use the answer from part a for the standard error.
c. Find p-value.
d. Explain how your one-sided analysis implicitly tests the broader null hypothesis that μâ¥1000.
Step-by-step guivivytfyuyufcfycuycuyfcuycfyfuccyctffcycfg. G
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With the random sampling method, every item in the population has an equal chance of being chosen for the sample. Consequently, the process of chance sampling is another name for it.
What is the standard deviation?The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
Therefore, if the impacts of the random changes are more pronounced, the standard error of the mean will be greater; conversely, if there are no random charges, the standard error of the mean will be zero. The formula for the mean's standard error is: M=N.
The sample data, test type, and sampling distribution of the test statistic under the null hypothesis are used to determine the p-value (lower-tailed test, upper-tailed test, or two-sided test). The formula for calculating the p-value for a lower-tailed test is: p-value = P(TS ts | H 0 is true) = cdf (ts).
To learn more about Random sampling refer to:
https://brainly.com/question/24466382
#SPJ2
Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test). For each statement, enter Correct if the argument is valid, or enter Incorrect if any part of the argument is flawed. Note: if the conclusion is true but the argument that led to it was wrong, you must enter Incorrect.
1. For all n>1, sin2(n)n2<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑sin2(n)n2 converges.
2. For all n>1, arctan(n)n3<π2n3, and the series π2∑1n3 converges, so by the Comparison Test, the series ∑arctan(n)n3 converges.
3. For all n>2, 1n2−5<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑1n2−5 converges.
4. For all n>2, n+1−−−−−√n>1n, and the series ∑1n diverges, so by the Comparison Test, the series ∑n+1−−−−−√n diverges.
5. For all n>2, nn3−2<2n2, and the series 2∑1n2 converges, so by the Comparison Test, the series ∑nn3−2 converges.
6. For all n>1, n2−n3<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑n2−n3
Help please! :) -Substitution Method-
Answer:
d
Step-by-step explanation:
Which function has a greater y-intercept?
Choose 1 Answer:
A. Function 1
B. Function 2
C. The functions have the same y-intercept
Answer:
it would the letter B
Step-by-step explanation:
the y intercept for function 1 is 3 and the y intercept for function 2 is 5
Lawrence wants to drive from Durban to Johannesburg 550km. If he travels at an average speed of 100km/hr, how long does he tale to get there?
Answer:
5.5hr
Step-by-step explanation:
Distance=550Km
Speed=100Km/hr
Speed=(Distance/Time)
Time=(Distance/Speed)
Time=550/100=5.5hr
A cone has a diameter of 5 inches and a height of 11 inches. Find the volume of the cone to the
nearest tenth.*
find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any trial is 9%
Answer:
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
7 trials
This means that [tex]n = 7[/tex]
The probability of success in any trial is 9%?
So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]
Probability of at least 6 failures in 7 trials?
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]
[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Find the area of the polygons
Answer:
1.) 17.5
2.) 120
3.) 372
Step-by-step explanation:
hope that helps
Need answer asap, will give brainliest
Answer:
35
Step-by-step explanation:
A company selects a random sample of 75 employees and records the proportion of employees who have been with the company for at least 10 years. A 95% confidence interval for the true proportion was computed to be (0.18, 0.23).
If the company wants to cut its margin of error in half, how many employees should it survey? ⇒ 300
Answer:
300
Step-by-step explanation:
just took edge test
Answer: 300
Step-by-step explanation:
Increasing the sample size by a factor of 4 will cut the margin of error in half.
Always multiply the original sample by 4 if we have a type of question like this. Therefore, 75x4= 300.
You are welcome
In the diagram, chords LM and NP are parallel and the measure of angle M = 68º.
Determine the value of x.
Answer: 44
Step-by-step explanation:
180-68-68 = 44
What is the answer please help no links no links
should i get taco bell or mcdonald’s after hours of stressing and overthinking me and everyone else’s existence ¿
Answer:
taco bell
Step-by-step explanation:
Answer:
i would say taco bell
Step-by-step explanation:
have a blessed day :)
Find the value of n. 0 • 37 = n
Answer:
the value of n = 0
Step-by-step explanation:
0 times anything always equals zero
Define what a "natural number" is and how to determine if it is or not
Answer:
In mathematics, the natural numbers are those used for counting and ordering.
Natural numbers include all the whole numbers excluding the number 0. In other words, all natural numbers are whole numbers, but all whole numbers are not natural numbers.
Hi, I'm trying to level up so if you are satisfied with my answer you don't have to but if you could give me brainliest that would be great.
Simplify using the product rule.
a^4 x a^3
Answer: the answer to the question is a7x
Step-by-step explanation:
Kelly recorded the number of people who wore school shirts to the football game on Saturday. Of the 525 fans, 224 wore school shirts. If 840 people are expected to attend next Saturday, how many of them would Kelly expect to be wearing school shirts?
A)224
B)301
C)358
D)525
HELP ME ASAP PLEASE:(
Answer:
is B
Step-by-step explanation:
What is the value of x
g A shopping center includes a grocery store and a drug store. One%E2%80%8B afternoon, a total of 200 people visited the shopping%E2%80%8B center, and 121 shopped at the grocery%E2%80%8B store, 91 shopped at the drug%E2%80%8B store, and 33 shopped at both businesses. %E2%80%8Ba) How many people shopped at the grocery store or the drug%E2%80%8B store? %E2%80%8Bb) How many people shopped at neither the grocery store nor the drug%E2%80%8B store?
Answer:
a) 179 people shopped at the grocery store or the drug store.
b) 21 people shopped at neither the grocery store nor the drug store
Step-by-step explanation:
I am going to treat these events as Venn sets.
I am going to say that:
Set A: Shopped at the grocery store
Set B: Shoped at the drug store.
121 shopped at the grocery store:
This means that [tex]A = 121[/tex]
91 shopped at the drug store:
This means that [tex]B = 91[/tex]
33 shopped at both businesses.
This means that [tex]A \cap B = 33[/tex]
a) How many people shopped at the grocery store or the drug store?
This is
[tex]A \cup B = A + B - (A \cap B)[/tex]
With the values given in the exercise.
[tex]A \cup B = A + B - (A \cap B) = 121 + 91 - 33 = 179[/tex]
179 people shopped at the grocery store or the drug store.
b) How many people shopped at neither the grocery store nor the drug store?
179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.
21 people shopped at neither the grocery store nor the drug store
I need help solving this problem.
9514 1404 393
Answer:
8/7
Step-by-step explanation:
[tex]\displaystyle\left(\frac{g}{f}\right)(-2)=\frac{g(-2)}{f(-2)}=\frac{7(-2)-2}{-2(-2)^2+3(-2)}\\\\=\frac{-16}{-8-6}=\boxed{\frac{8}{7}}[/tex]
Answer:
the answer is 8/7
Step-by-step explanation:
:)))))
A parabola has a vertex at (-6, 6) and roots at 10 and m. Find the value of m.
Answer:
m = -22
Step-by-step explanation:
Formula for parabola in it's vertex form is given by;
y = a(x - h)² + k
Where (h, k) is the coordinate of the vertex.
We are told that vertex is at (-6, 6) and the roots are at 10 and m.
Thus;
y = a(x - (-6))² + 6
y = a(x + 6)² + 6
Since 10 is a root, thus;
0 = a(10 + 6)² + 6
-6 = 256a
a = -6/256
a = -3/128
Thus,the equation is;
y = (-3/128)(x + 6)² + 6
Since m is a root, then;
0 = (-3/128)(m + 6)² + 6
-6 = (-3/128)(m + 6)²
Rearranging, we have;
128 × 6/3 = (m + 6)²
256 = m² + 12m + 36
m² + 12m - 256 + 36 = 0
m² + 12m - 220 = 0
Using quadratic formula, we have;
m = 10 or -22
What is the area of the figure?
Answer:
69.75
Step-by-step explanation:
Find the surface area of the right rectangular prism shown below.
Answer:
your answer would be A= 67
Step-by-step explanation:
all you have to do is multpily L= 5 W=4 and H=1.5
i hope this helps
6.167 High School Graduates. According to the document Cur-rent Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level. If 100 such adults are selected at random, determine the probability that the number who have a high school degree as their highest educational level is
Answer:
Hello your question is incomplete below is the missing value
determine the probability that the number who have a high school degree as their highest educational level is exactly 32
answer : P( x = 32 ) = 0.08
Step-by-step explanation:
Given ;
n = 100 , p = 0.304
np = 100 * 0.304 = 30.4
n( 1 - p ) = 100 ( 1 - 0.304 ) = 69.6
applying normal approximation to the Binomial to determine mean value and standard deviation ( because: np and n(1-p) > 5 )
mean = np = 30.4
std = [tex]\sqrt{np(1-p)}[/tex] = [tex]\sqrt{30.4(69.6)}[/tex] = 4.6
Determine the probability of exactly 32
P( X = 32 ) = P( 31.5 < X < 32.5 )
= P( (31.5 - 30.4) / 4.6 < X < (32.5 - 30.4) / 4.6 )
= P ( 0.24 < Z < 0.46 )
= p( Z < 0.46 ) - p( Z< 0.24 ) ( using standard tables )
= 0.6772 - 0.5948 = 0.0824 ≈ 0.08
Find the number of distinguishable permutations of the given letters "AABBCCCD".
Answer:
mother A1 has daughter A2, and
mother B1 has daughter B2, and
mother C1 has daughter C2, and
mother D1 has daughter D2.
Step-by-step explanation:
.