Answers
Answer:
Solution given:
radius=r=2cm
height=h=9cm
Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³
The required volume is 36π0r 113.1cm³
Related Questions
Solve for x using
cross multiplication.
X + 8
-
3x – 2
8
3
x = [?]
Answers
Answer:
x=70
Step-by-step explanation:
(x+8)*8=(3x-2)*3
8x+64=9x-6
x=70
subtract 8 from 10, then add n to the result
Answers
Answer:
(10-8) + n
Step-by-step explanation:
Good luck with your work!
Answer and Step-by-step explanation:
To subtract 8 from 10, it would look like this:
10 - 8.
Now, we add n to the result.
(10 - 8) + n
The question said not to simplify any part of this, so this is the expression.
(10 - 8) + n
#teamtrees #PAW (Plant And Water)
A company wanted to estimate the mean lifetime of its new model of lightbulbs. They use a method for testing bulbs that accelerates the process so the bulbs burn out relatively quickly, and the company can accurately calculate the corresponding lifetime under regular usage. They took a random sample of 555 of these new bulbs and calculated their lifetimes. Here are the data and summary statistics:
Bulb 1 2 3 4 5
Lifetime 14.2 12.2 13.4 12.6 14.6
Mean= 13.4 years
Standard deviation= sx =1.02 years
Required:
Wrtite a 90% confidence interval for the mean lifetime in years) for this type of bulb.
Answers
Answer:
13.4±2.132(1.02/5)
Step-by-step explanation:
Khan Academy
The confidence interval for the mean life time is; CI = 13.4 ± 3.678(1.02/5)
What is the confidence interval?
Formula for confidence interval is;
CI = x' ± z(s/√n)
We are given;
Mean; x' = 13.4
Standard deviation; s = 1.02
Sample size; n = 5
z-score at confidence level of 90% = 1.645
Thus;
CI = 13.4 ± 1.645(1.02/√5)
CI = 13.4 ± 3.678(1.02/5)
Read more about Confidence Interval at; https://brainly.com/question/17097944
Question 1
10 pts
The vertices of a triangle are P(4,7), Q(-1,7) and R(4,-5). What is the
perimeter of triangle PQR?
Answers
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.
[tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex]
[tex](QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13[/tex]
The perimeter of the triangle is 5 + 12 + 13 = 30
Find the erea of the trapezoid.
show work for brainliest
Answers
Answer:
the area of the trapezoid is 32
Step-by-step explanation:
a (base)2
b (Base)6
h (height)8
Which of the following could be points on the unit circle?
Answers
Answer:
A and D
Step-by-step explanation:
Unit circle is a circle described by the equation
x^2 + y^2 = 1
We can try each pair and check
A. [tex](\frac{6}{7})^2 + (\frac{\sqrt{13}}{7})^2 = \frac{36}{49} + \frac{13}{49} = \frac{49}{49} = 1[/tex]
B. [tex](\frac{4}{3})^2 + (\frac{4}{5})^2 > (\frac{4}{3})^2 > 1[/tex]
C. [tex](\frac{1}{3})^2 + (\frac{2}{3})^2 = \frac{1}{9} + \frac{4}{9} = \frac{5}{9} < 1[/tex]
D. [tex](\frac{5}{13})^2 + (\frac{12}{13})^2 = \frac{25}{169} + \frac{144}{169} = \frac{169}{169} = 1[/tex]
From a group of 12 teachers, how many different committees can be formed
consisting four or five members?
Answers
Answer:
3=4÷12
3groups with 4 members (teachers)and we cannot make groups with 5 members
n 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to complete the 42.2 km (26.2 mile) race. If 100 runners are chosen at random, find the probability that at least 5 of them did not finish the marathon
Answers
Answer:
0.1199 = 11.99% probability that at least 5 of them did not finish the marathon
Step-by-step explanation:
For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.
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.
97.4% finished:
This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that [tex]p = 0.026[/tex]
100 runners are chosen at random
This means that [tex]n = 100[/tex]
Find the probability that at least 5 of them did not finish the marathon
This is:
[tex]P(X \geq 5) = 1 - P(X < 5)[/tex]
In which
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718[/tex]
[tex]P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916[/tex]
[tex]P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531[/tex]
[tex]P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207[/tex]
[tex]P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429[/tex]
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801[/tex]
[tex]P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199[/tex]
0.1199 = 11.99% probability that at least 5 of them did not finish the marathon
Solve the simultaneous equations
2x - 3y = 12
3x + 4y = 1
What am I doing wrong here?
Answers
Answer:
3
Step-by-step explanation:
2×-3y = 12 ( multiply whit 4)
3x + 4y =1 (multiply whit 3 )
8x -12y =48
9X+ 12y = 3
if you add this equations
17X =51
X= 51 / 17
x=3
There's your answer buddy!
A rectangle is 4 times as long as it is wide. If the area is 64 square feet, find its perimeter
Answers
Answer:
40 feet
Step-by-step explanation:
long sides are 16
short sides are 4
Perimeter is l + l + w + w
so 16 + 16 + 4 + 4
= 40
The perimeter of the given rectangle is 40 feet.
What is the perimeter of a rectangle?The perimeter of a rectangle is defined as the sum of all the four sides of the rectangle.
The perimeter of a rectangle = 2( l + b)
It is given that rectangle is 4 times as long as it is wide. If the area is 64 square feet,
The area is 64 square feet = l x w
So,
The long sides are 16
The short sides are 4
Perimeter = 2 (l + w)
Perimeter = 2( 16 + 4)
Perimeter = 40
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
A mayoral candidate in a large metropolitan area has hired you to take a poll to determine the proportion of registered voters who plan to vote for him. He would like you to report a 95% confidence interval with a margin of error no more than 0.04. Whiat is the smallest sample size that will produce an interval with these specifications?
Answers
Answer:
The smallest sample size that will produce an interval with these specifications is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
He would like you to report a 95% confidence interval with a margin of error no more than 0.04. What is the smallest sample size that will produce an interval with these specifications?
We have to find n for which M = 0.04.
We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when the smallest sample size needed will have it's largest value.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up
The smallest sample size that will produce an interval with these specifications is 601.
WITH THE STEPS
FOR THE 2 SHAPE
Answers
Answer:
70 in
Step-by-step explanation:
7 * 7 = 49 {that's the square}
(7 * 6) * 1/2 = 21 {that's the triangle}
49 + 21 = 70
Answer:
the square SxS= 7x7 = 49
the triangle is hxs÷2=(7×6 )÷2 =42 ÷2 = 21
Can someone help me?
Answers
Answer:
x = 12 efg = 132
Step-by-step explanation:
Hi,
4x = 48
x = 12
Which means...
m < EFG is
4x
4 (12) = 48
m < EFG is 48 degrees
I hope this helps :)
what is the area of the triangle 16, 10, 8
Answers
Answer:
480
Step-by-step explanation:
(16x10x8) divided by 2 = 480
Which is bigger? 2^4 or 4^2?
Answers
Answer:
Both are equal
Step-by-step explanation:
[tex]2^4 = 16 \\ \\ {4}^{2} = 16 \\ \\ \implies \: {2}^{4} = {4}^{2} [/tex]
Answer:
Step-by-step explanation:
2^4=16 and 4^2=16
They both equal the same thing so im guessing neither. They are both the same value.
Hope this helped!
PLS let me know if i'm wrong so i can correct my mistake!!
How many triangles can be made with sides measuring 7 cm, 4 cm, and 5 cm
Answers
Answer:
One triangle
Step-by-step explanation:
Since the sum of the shorter two sides is greater than the larger side.
What is m<1
help thais would help
Answers
Answer:
it means it is less than one
Could someone help me figure this out??
Answers
Answer:
180
Step-by-step explanation:
pasagot po please...........
Answers
Answer:
1) ASA
2) SAS
3) SAS
4) SAS
5) SSS
someone please answer this!!
Answers
Answer:
it 45
Step-by-step explanation:
u add 75 and 60 together which equals 135
then u subtract 135 from 180 and u get 45
Scores at a local high school on the American College Testing (ACT) college entrance exam follow the normal distribution with a mean of 18 and a standard deviation of 8. A guidance counselor takes a random sample of 20 students and calculates the mean score, x¯.
(a) Calculate the mean and standard deviation of the sampling distribution of x¯.
(b) Interpret the standard deviation from part (a).
(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.
Answers
Answer:
a) The mean is 18 and the standard deviation is 1.79.
b) The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.
c) 0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 18 and a standard deviation of 8.
This means that [tex]\mu = 18, \sigma = 8[/tex]
Sample of 20:
This means that [tex]n = 20, s = \frac{8}{\sqrt{20}} = 1.79[/tex]
(a) Calculate the mean and standard deviation of the sampling distribution of x¯.
By the Central Limit Theorem, the mean is 18 and the standard deviation is 1.79.
(b) Interpret the standard deviation from part (a).
The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.
(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.
This is 1 subtracted by the pvalue of Z when X = 19.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.5 - 18}{1.79}[/tex]
[tex]Z = 0.84[/tex]
[tex]Z = 0.84[/tex] has a pvalue of 0.7995
1 - 0.7995 = 0.2005
0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.
Eric is a great skateboard fan. He visits a shop named SKATERS to
check some prices. At this shop you can buy a complete board. Or
you can buy a deck, a set of 4 wheels, a set of 2 trucks and a set of
hardware, and assemble your own board. The prices for the shop's
products are:
Answers
Answer:
minimum: 80 zeds
maximum: 137 zeds
Step-by-step explanation:
minimum price is where you choose all the cheapest options
lowest deck price is 40, lowest wheel set price is 14...
40+14+16+10
=40+30+10
=80
maximum price is where you choose all the most expensive options
highest deck is 65, highest price of wheels are 36, hardware 20
65+36+16+20
=65+72
=137
My teacher asked me 7 x 1/5 of 19, and I got immediately stumped. My brain is mush today.
Answers
Answer:
No lol that seems very confusing but was it 26.6?
Answer: 26.6
Step-by-step explanation:
7 times 1/5= 7/5
7/5 times 19= 26.6
I hope ti helps and may God bless you! have a nice day, bye!
What is the perimeter?? Please help!
Answers
Step-by-step explanation:
perimeter of the given figure=24cm+24cm+30cm+20cm+20cm+20cm+5cm+5cm
=148cm
Answer:
148mm aka 1.48cm aka 1cm48mm
Step-by-step explanation:
to obtain the small thing between the"24mm" and"20mm":
(30mm-20mm)÷2
=5mm
so add up all those given information:
24mm+24mm+20mm+20mm+20mm+30mm+5mm+5mm
comment below if you still don't get it ;)
GIVING BRAINLY need urgent help give evidence if you just answer for points you will be reported no biTLY LINKS
Answers
Answer:
1/5
Step-by-step explanation:
I hope this helps you
Answer:
1/5
Step-by-step explanation:
each X is divided by 5 to get the Y
I need help fast!!!
Please
Answers
Answer:
B
Step-by-step explanation:
Please help me thanks
Answers
Answer:
11/13
Step-by-step explanation:
4 out of the 26 marbles are blue, meaning that the rest of the 22 marbles are not blue. (26-4=22)
This means that out of the total 26, the chance of not picking a blue marble are 22/26=11/13
2 5/6+ 3 2/5 in simplest form.
Answers
Answer:
17/6 + 17/5
Step-by-step explanation:
What is the slope of the line that passes through (5,4) and (7,10)?
A. 3
B. -3
C. 2
D. -2
Answers
Answer:
A. 3
Step-by-step explanation:
I just did it on a calculator and got it correct
A die is rolled. What is the probability of getting an even number?
A. 1/6
B. 1/2
C. 1/3
D. 1/4
Answers
Answer:
I wanna say 1/3 because there 3 even numbers on a dice
Step-by-step explanation: