Answer:
The volume of air that can be hold is 267.9 inches³.
Step-by-step explanation:
Given that the volume of sphere formula is V = 4/3×π×r³ where r represents radius of sphere. Then substitute the values :
[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]
Let π = 3.14,
Let r = 4,
[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]
[tex]v = \frac{4}{3} \times 200.96[/tex]
[tex]v = 267.9 \: {inches}^{3} (near.tenth)[/tex]
The soccer can hold air up to the volume of 267.9 cubic inches.
What is volume?
The measure of the capacity that an object holds is called volume.
Formula for the volume of sphere[tex]v = \frac{4}{3} \pi r^{3}[/tex]
Where, v is the volume of sphere
r is the radius of sphere
π = 3.14
According to the given question
The radius of soccer is 4 inches.
Therefore,
The volume of the soccer = [tex]\frac{4}{3}\pi (4)^{3}[/tex] (shape of soccer is spherical)
Volume of soccer = [tex]\frac{4}{3} (3.14)(64)[/tex] [tex]= 267.946 cubic inches[/tex]
Hence, the soccer can hold air up to the volume of 267.9 cubic inches.
Learn more about the volume of sphere here:
https://brainly.com/question/9994313
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Estimate a 15% tip on a dinner bill of $52.87 by first rounding the bill amount to the nearest ten dollars.
Answer:
$ 7.9
Step-by-step explanation:
Amount of bill = $52.87 = $52.9
Amount of tip = 15% of $52.9
[tex] = \frac{15}{100} \times 52.9 \\ \\ = 0.15 \times 52.9 \\ = 7.935 \\ = \$ \: 7.9 \\ [/tex]
Identify the radius and the center of a circle whose equation is (x – 5)² + y² = 81.
The radius of the circle is
units.
The center of the circle is at (
,
).
Answer:
Center = (5, 0)
Radius = 9
Step-by-step explanation:
Look at the picture
The radius of the circle is 9units and the center of the circle is at (5, 0)
Equation of a circleThe standard equation of a circle is expressed as:
(x-a)^2+(y-b)^2 = r^2
where
r is the radius of the circle
(a, b) is the centre of the circle
GIven the equation is (x – 5)² + y² = 81.
Compare both equations
a = 5, b = 0
r^2 = 81
r = 9units
Hence the radius of the circle is 9units and the center of the circle is at (5, 0)
Learn more on equation of circle here: https://brainly.com/question/14150470
Suppose n balls are distributed in n boxes in such a way that each ball chooses a box indepen- dently of each other. (a) What is the probability that Box #1 is empty? (b) What is the probability that only Box #1 is empty? (c) What is the probability that only one box is empty? (d) Given that Box #1 is empty, what is the probability that only one box is empty? (e) Given that only one box is empty, what is the probability that Box #1 is empty?
Answer:
Check the explanation
Step-by-step explanation:
a) Probability that Box #1 is empty is computed here as:
= Number of ways to distribute each of the the n balls in remaining (n - 1) boxes / Total ways to distribute n balls into n boxes
= [tex]\frac{(n-1)^n}{n^n} = (1 - \frac{1}{n})^n[/tex]
This is the required probability here.
b) Probability that only 1 box is empty is computed here as:
= Number of ways to choose one of the remaining (n - 1) boxes such that it will have 2 balls * Number of ways to select 2 balls of that box* permutation of remaining (n - 2) balls into (n - 2) boxes / Total ways to distribute n balls into n boxes
= [tex]\frac{\binom{n-1}{1}\binom{n}{2}(n-2)!}{n^n}[/tex]
= [tex]\frac{(n-1)n!(n-2)!}{2n^n}[/tex]
= [tex]\frac{n!(n-1)!}{2n^n}[/tex]
This is the required probability here.
c) Probability that only 1 box is empty is computed here as:
= Number of ways to select a box which would be empty * Probability that only that box would be empty ( from previous part)
= [tex]\frac{n*n!(n-1)!}{2n^n}[/tex]
= [tex]\frac{(n!)^2}{2n^n}[/tex]
This is the required probability here.
d) Given that box #1 is empty, probability that only 1 box is empty is computed here as:
= Probability that only box 1 is empty / Probability that box 1 is empty
We will use the answers from parts a) and b) here to get:
=[tex]\frac{ \frac{n!(n-1)!}{2n^n}}{\frac{(1 - n)^n}{n^n}}[/tex]
= [tex]\frac{n!(n-1)!}{2(1-n)^n}[/tex]
This is the required probability here.
e) Given that only 1 box is empty, probability that box #1 is empty is computed here as:
= 1/n as each box is equally likelt to be empty
Therefore 1/n is the required probability here.
PLS ANSWER QUICK
The mean age of 5 people in a room is 28 years.
A person enters the room.
The mean age is now 29.
What is the age of the person who entered the room?
Answer & Step-by-step explanation:
First, we will multiply 5 by 28 to find out the total number of ages in the room.
5 * 28 = 140
Now, we will multiply 6 by 29 to find out the total number of ages in the room after the new person comes in.
6 * 29 = 174
Now, in order for us to find the age of the new person, then we will subtract 140 from 174.
174 - 140 = 34
So, the person that entered the room is 34 years old.
Answer:
34
Step-by-step explanation:
Please help me I’ve been stuck for awhile
Hey there! I'm happy to help you out!
Let's think of our original price ($P) as 100%. This is also the same thing as 1 because 100% is one whole thing.
Now, we see that he got a 15% off discount. Now, we just subtract 15% from 100% to see what percent he actually payed.
100%-15%=85%
This means that $R is 85% of $P (100%).
Answer A is not correct because 0.85% is less than 1%, which is not 85%.
Answer B is not correct either because 0.15% is also less than 1%.
Answer C is correct because $R is 85% of the original cost.
I hope that this helps! Have a wonderful day!
If the general term of a sequence is 4 then the sequence is
Answer:
4,8,12,16,24,32,36.......
Step-by-step explanation:
Which function has the same domain as
as y=2*?
O y = √2x
O y= 22/
O y = √x-2
O y=x-2
Answer:
y=x-2
Step-by-step explanation:
y=2^x and y=x-2 have the same domain. Any x-values work for both functions. The domain is all real numbers.
If this answer is correct, please make me Brainliest!
A. Circle
B. Kite
C. Rectangle
D. Trapezoid
ANY ONE PLZZ THIS IS DUE IN TWO HOURS!!!!!!!!
Answer:
it is option A bro
follow me if it is helpful
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Adding the negative value in front of x flips the graph lacrosse the Y axis and compressed it vertically.
The answer is C.
Answer:
C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.
Step-by-step explanation:
The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.
At the school store, Budi bought 161616 pencils, 222222 erasers, and 141414 stickers.
How many total items did Budi buy at the school store?
Answer: The answer is 606060.
Step-by-step explanation: Its pretty simple all you do is add like this and you will get the answer you are needing. If this helped leave a like and try to respond. ❤
Answer:
606060.
Step-by-step explanation:
Find the mean for each set of data.
3. cost of tennis shoes: $57, $63, $60, $59, $61
Answer: the men’s of this set of numbers is 60
Step-by-step explanation:
Add all the numbers together and then divided but the amount of numbers in the set
What are the possible values of x in 32x+ 20 = 28x - 16x??
A. + 4127
OB. z 2 type
Oc. z + V
OD. / 2 = 147
1v7
8
Reset
Answer:
x = -1
Step-by-step explanation:
32(-1)+20=28(-1)-16(-1)
-32+20=-28+16
-12=-12
A financial manageress for a company is considering two competing investment proposals. For each of these proposals, she has carried out an analysis in which she has determined various net profit figures and has assigned subjective probabilities to the realization of these returns. For proposal A, her analysis shows net profits of GHȼ 20,000.00, GHȼ 30,000.00 or GHȼ 50,000.00 with respective probabilities 0.2, 0.4 and 0.4. For proposal B, she concludes that there is a 50% chance of successful investment, estimated as producing net profits of GHȼ 100,000.00, and of an unsuccessful investment, estimated as a break – even situation involving GHȼ 0.00 of net profit. Assuming that each proposal requires the same Ghana cedi investment, which of the two proposals is preferable solely from the standpoint of expected monetary return?
Answer:
Project B is preferable solely from the standpoint of expected monetary return.
Step-by-step explanation:
Calculations of Expected Returns:
Project A:
Net Profits Probability Expected Returns:
GHȼ 20,000.00 0.2 GHȼ 4,000
GHȼ 30,000.00 0.4 GHȼ 12,000
GHȼ 50,000.00 0.4 GHȼ 20,000
Total Expected Returns GHȼ 36,000
Project B:
Net Profits Probability Expected Returns:
GHȼ 100,000 0.5 GHȼ 50,000
GHȼ 0.00 0.5 GHȼ 0.00
Total Expected Returns GHȼ 50,000
Expected Returns are the returns or income which have been weighed with their probabilities of occurrence. It is used to determine the best outcome given events that have different probabilities of occurring. It is an important measure of returns which helps in deciding the best investment option to pursue.
2x + (-x) + 3 + (-2)
Answer:
-x+3
Step-by-step explanation:
hope this helps
What’s the answer for this ? 1-2 question
Answer:
Question 1:
A) Parallelogram
B) Right Angled Triangle
Question 2:
Using parallelogram to use properties of parallel lines. To find whether a quadrilateral is parallelogram, first we will write it's coordinates. After writing coordinates, we find slope of each line by slope formula. After this , we compare the slope of equal lines through which we come to know whether they are parallel to eachother or not. After that, if two pairs of lines are parallel, then the given quadrilateral is a parallelogram.
Find the value of x. Round to nearest tenth.
A. 24.2
B. 17.0
C. 20.1
D. 16.0
Answer:
The answer to the question is A
A flat object with two sides, one colored red (R), the other green (G), is tossed 2 times
Answer:
need more info
Step-by-step explanation:
need more info
Which are the center and radius of the circle with this equation?
x^2 - 4x + y^2 + 2y = 0
Answer:
C = (2, - 1)
[tex]r \: = \: \sqrt{5} [/tex]
Step-by-step explanation:
Look at the picture
If you lined up all insects longer than 3/6 of an inch how many inches long would they measure in all?
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
x>108
Step-by-step explanation:
What is the favorite food of sixth-grade students? Determine whether it's a stratical question or a non-stratical question.
The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha (20 pts)
Answer:
We conclude that the true average percentage of Silicon Dioxide is smaller than 5.5.
Step-by-step explanation:
We are given that the desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5.
16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.
Let [tex]\mu[/tex] = true average percentage of Silicon Dioxide.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\geq[/tex] 5.5 {means that the true average is greater than or equal to 5.5}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 5.5 {means that the true average is smaller than 5.5}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean percentage of Silicon Dioxide = 5.25
σ = population standard deviation = 0.3
n = sample size = 16
So, the test statistics = [tex]\frac{5.25-5.5}{\frac{0.3}{\sqrt{16} } }[/tex]
= -3.33
The value of z test statistics is -3.33.
Now, the P-value of the test statistics is given by;
P-value = P(Z < -3.33) = 1 - P(Z [tex]\leq[/tex] 3.33)
= 1 - 0.9996 = 0.0004
Since, the P-value of the test statistics is less than the level of significance as 0.0004 < 0.01, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the true average percentage of Silicon Dioxide is smaller than 5.5.
Answer:
The true average percentage of Silicon Dioxide (SiO2) is less than 5.5.
Step-by-step explanation:
In this case we need to test whether the true average percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is smaller than 5.5.
The hypothesis can be defined as follows:
H₀: The true average percentage of Silicon Dioxide (SiO2) is 5.5, i.e. μ = 5.5.
Hₐ: The true average percentage of Silicon Dioxide (SiO2) is less than 5.5, i.e. μ < 5.5.
The information provided is:
[tex]\bar x=5.25\\\sigma=0.30\\n=16\\\alpha =0.01[/tex]
As the population standard deviation is provided, we will use a z-test for single mean.
Compute the test statistic value as follows:
[tex]z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{5.25-5.5}{0.30/\sqrt{16}}=-3.33[/tex]
The test statistic value is -3.33.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
Compute the p-value for the two-tailed test as follows:
[tex]p-value=P(Z<-3.33)=0.00043[/tex]
*Use a z-table for the probability.
The p-value of the test is 0.00043.
p-value = 0.00043 < α = 0.05
The null hypothesis will be rejected at 5% level of significance.
Thus, it can be concluded that the true average percentage of Silicon Dioxide (SiO2) is less than 5.5.
How many milliliters is 719.01 liters?
Answer:
719010
Step-by-step explanation:
90 learnes are asked which school clubs they attend.(D) represent dram club,(M) for music club and S for sport club.39 learners attend music club,26 lerners attend exactly two clubs,35 learners attend drama club. How many learners attend music club only
Answer:
The number of students who attend music club only is 13.
Step-by-step explanation:
The three different types of clubs are:
D = drama club
M = music club
S = sports club
The information provided is:
n (M) = 39
n (D) = 35
n (Exactly 2 clubs) = 26
Consider the Venn diagram attached.
From the Venn diagram it is clear that 13 students attended the Music club only.
Thus, the number of students who attend music club only is 13.
a) what is the theoretical probability of landing on A ? write fraction in simplest form .
Answer:
13/50; 13/50
Step-by-step explanation:
a): Theoretical=# of favorable outcomes/# of total outcomes
To find the total, add 21+26+25+28, which is 100
A has a frequency of 26.
That would be 26/100, which is also 13/50
b): Experimental probability is based on the amount of times the spinner is spun. Since A is the only vowel in "MATH", we would take that fraction and multiply it by 100, or the number of times.
13/50*100=13*2=26
Put that over 100, which would be 26/100, which is also 13/50.
Hope this helped! Have a good rest of your day!
What is the area of the obtuse triangle with a base of 16 and height of 8
Answer:
64
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 (16) *8
A =64
Answer:
[tex]64[/tex]
Step-by-step explanation:
[tex]area \\ = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 16 \times 8 \\ = 64[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A farmer is having problems with birds eating her crops. She tries putting up different numbers of scarecrows to keep the birds away. The average number of crops eaten is 200, and the average number of scarecrows she has put up is 20.
The farmer finds some of the linear regression equation:
number of crops eaten = a - 0.8*(number of scarecrows).
What is the value of the intercept?
Answer:
The value of the intercept is a=216.
Step-by-step explanation:
We define "s" as the number of scarecrows and "C" the number of crops eaten.
The farmer finds the linear regression equation:
[tex]C=a-0.8s[/tex]
We have a linear function, for which we only know the slope (m=0.8) and a point within it (when s=20, C=200).
We can find a replacing the variables C asn s with the known point (20, 200):
[tex]C=a-0.8s\\\\C(20)=a-0.8(20)=200\\\\a=200+0.8*20=200+16\\\\a=216[/tex]
The value of the intercept is a=216.
What’s the correct answer for this?
Answer:
Step-by-step explanation:
Bring to one side
x^2-12x+y^2-8y+27=0
Complete the square
(x^2-12x+A)+(y^2-8y+B)=-27
Answer:
First option is the correct answer
The equation of the circle is: [tex](x-6)^2+(y-4)^2= 25[/tex]
The center is at (6, 4), and the radius is 5 units.
Step-by-step explanation:
[tex]x^{2} -12x+27=-y^2 +8y\\\\x^{2} -12x+27+y^2 -8y=0\\(x^{2} -12x+36)-36+27+(y^2 -8y +16)-16=0\\(x^{2} -12x+6^2)+(y^2 -8y +4^2)-25=0\\(x-6)^2+(y-4)^2= 25\\(x-6)^2+(y-4)^2= 5^2\\Equating\: it \: with\\(x-h)^2+(y-k)^2= r^2\\we\:find:\\Center = (h,\:k) = (6,\:4)\\Radius \:(r) = 5[/tex]
A pine cone is 40 feet above the ground when it falls from a tree. The height h in feet of the pine cone above the ground can be modelled by h=-16t^2+40, where t is the time in seconds since the pine cone started to fall. Solve the equation for t. Write your answer in simplest form.
Answer:
Step-by-step explanation:
Given
height of the pine cone above the ground can be modelled by
[tex]h=-16t^2+40[/tex]
When pine cone reaches the ground [tex]h=0[/tex]
[tex]\Rightarrow 0=-16t^2+40[/tex]
[tex]\Rightarrow 40=16t^2[/tex]
[tex]\Rightarrow t=\sqrt{\frac{40}{16}}[/tex]
[tex]\Rightarrow t=\frac{\sqrt{40}}{4}[/tex]
[tex]\Rightarrow t=\frac{2\sqrt{10}}{4}[/tex]
[tex]\Rightarrow t=\frac{\sqrt{10}}{2}[/tex]
[tex]\Rightarrow t=1.58\ s[/tex]
Thus cone take 1.58 s to reach ground
In the number 6,789,043, which digits is in the millions place?
Answer:
the number 6 is in the millions place
Step-by-step explanation:
the millions place is the sixth digit in the number family
and it also has six numbers after the number