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!
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.
Part A
Which equation relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
A. b = 13g
B. b = 12g
C. b = 23g
D. b = 32g
Part B
Which equation relates the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.
A. p = 13b
B. p = 12b
C. p = 23b
D. p = 34b
Answer:
Part A = B.
Part B = A.
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.
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!
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!
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
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 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
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
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
x>108
Step-by-step explanation:
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
A 100 gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon suppose that sugar is added to the tank at a rate of p pounds per minute that sugar water is removed at a rate of 1 gallon per minute and that water in the tank is kept well mixed. What value of P should we pick so that that when 5 gallons of sugar solution is left in the tank the concentration is .5lbs of sugar/gallon?
At the start, the tank contains
(0.25 lb/gal) * (100 gal) = 25 lb
of sugar. Let [tex]S(t)[/tex] be the amount of sugar in the tank at time [tex]t[/tex]. Then [tex]S(0)=25[/tex].
Sugar is added to the tank at a rate of P lb/min, and removed at a rate of
[tex]\left(1\frac{\rm gal}{\rm min}\right)\left(\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm gal}\right)=\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm min}[/tex]
and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,
[tex]\dfrac{\mathrm dS}{\mathrm dt}=P-\dfrac S{100}[/tex]
Separate variables, integrate, and solve for S.
[tex]\dfrac{\mathrm dS}{P-\frac S{100}}=\mathrm dt[/tex]
[tex]\displaystyle\int\dfrac{\mathrm dS}{P-\frac S{100}}=\int\mathrm dt[/tex]
[tex]-100\ln\left|P-\dfrac S{100}\right|=t+C[/tex]
[tex]\ln\left|P-\dfrac S{100}\right|=-100t-100C=C-100t[/tex]
[tex]P-\dfrac S{100}=e^{C-100t}=e^Ce^{-100t}=Ce^{-100t}[/tex]
[tex]\dfrac S{100}=P-Ce^{-100t}[/tex]
[tex]S(t)=100P-100Ce^{-100t}=100P-Ce^{-100t}[/tex]
Use the initial value to solve for C :
[tex]S(0)=25\implies 25=100P-C\implies C=100P-25[/tex]
[tex]\implies S(t)=100P-(100P-25)e^{-100t}[/tex]
The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time
[tex]1000\,\mathrm{gal}+\left(-1\dfrac{\rm gal}{\rm min}\right)t=5\,\mathrm{gal}\implies t=995\,\mathrm{min}[/tex]
has passed. At this time, we want the tank to contain
(0.5 lb/gal) * (5 gal) = 2.5 lb
of sugar, so we pick P such that
[tex]S(995)=100P-(100P-25)e^{-99,500}=2.5\implies\boxed{P\approx0.025}[/tex]
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:
2x + (-x) + 3 + (-2)
Answer:
-x+3
Step-by-step explanation:
hope this helps
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
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.
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
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. 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
How many milliliters is 719.01 liters?
Answer:
719010
Step-by-step explanation:
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
If you lined up all insects longer than 3/6 of an inch how many inches long would they measure in all?
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:
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.
To solve the equation, -6(x + 2) = 30, you can distribute the negative number and then use the
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.
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]
Sara can type 80 words a minute.
How many words can be typed in 6.5 minutes?
Answer:
520
Step-by-step explanation:
80 times 6.5 = 520
so she can type 520 words in 6.5 mins
Answer:
The answer would be 520
Step-by-step explanation:
We have 80 words per minutes:)
It asks how much words can we type in 6.5 minutes.
well if we do 80 words per minute we can multiply the values
80 words x 6 minutes is 480
But wait we have .5 left
so we do 80 divided by 2 and get 40
then we go 480 plus 40 and get 520
we could have straight out multiplyed it and got this but thats no fun.
520 Words for 6.5 mins :)
Can i get brainliest
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.
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’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]