We want to compare the population equations for two given states.
The correct option is:
"The original population of State A was double of the original population of State B"
We know that the population of state A is given by:
f(x) = 4*(1.08)^x
While for state B, the population is given by:
g(x) = 2*(1.08)^x
We want to see which conclusion is correct about the population of state A and state B.
First, the general exponential growth equation is given by:
h(x) = A*(r)^x
Where A is the initial value and r is the rate of growth.
With this, we can see that f(x) and g(x) have the same rate, and f(x) has an initial value that is twice the one of g(x).
Then the correct option is "The original population of State A was double of the original population of State B"
Because the initial value represents the initial population.
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You have 1 pounds of egg whites
You need 8 oz to make one serving of meringue
How many servings can you make?
Answer:
2 servings
Step-by-step explanation:
1 pound is 16 ounces
Use these methods to normalize the following group of data:
200, 300, 400, 600, 1000
a) min-max normalization by setting min = 0 and max = 1
b) z-score normalization
c) normalization by decimal scaling
Step-by-step explanation:
b is the answer , z-score normalization
Normalization is applied to data values in other to ensure that the data scales well, such that data values conforms to a certain range. The output of the various normalization techniques are given below ;
Given the data:
200, 300, 400, 600, 10001.)
Min - Max normalization :
[tex]\frac{value - min}{max - min} [/tex] Min = minimum = 200Max = maximum = 1000Value = 200 :
[tex]\frac{200 - 200}{1000 - 200} = 0[/tex]
Value = 300 :
[tex]\frac{300 - 200}{1000 - 200} = 0.125[/tex]
Value = 400 :
[tex]\frac{400 - 200}{1000 - 200} = 0.25[/tex]
Value = 600 :
[tex]\frac{600 - 200}{1000 - 200} = 0.5[/tex]
Value = 1000 :
[tex]\frac{1000 - 200}{1000 - 200} = 1[/tex]
Normalized values = (0, 0.125, 0.25, 0.5, 1)
2.)
Zscore normalization :
[tex]\frac{value - μ}{σ} [/tex]Using a calculator :
Mean, μ = 500Standard deviation = 316.227Value = 200 :
[tex]\frac{200 - 500}{316.227} = -0.949[/tex]
Value = 300 :
[tex]\frac{300 - 500}{316.227} = -0.632[/tex]
Value = 400 :
[tex]\frac{400 - 500}{316.227} = -0.316[/tex]
Value = 600 :
[tex]\frac{600 - 500}{316.227} = 0.316[/tex]
Value = 1000 :
[tex]\frac{1000 - 500}{316.227} = 1.581[/tex]
Normalized values = (-0.949, -0.632, -0.316, 0.316, 1.581)
3.)
Decimal Scaling :
Maximum value = 1000Hence, we can divide our values by 10000200 / 10000 = 0.02
300/1000 = 0.03
400/1000 = 0.04
600/1000 = 0.06
1000/1000 = 0.1
Hence, the Normalized values (0.02, 0.03, 0.04, 0.06, 0.1)
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Forty-seven thousand people ride the city bus every day. On
average, about how many people ride the bus each hour?
The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great.
Answer:
Answer is C
Step-by-step explanation:
There is not enough samples.
Answer:
Yes, the variation of the sample means is small.
Step-by-step explanation:
a plane takes off from an airport and travels at a steady speed of 350 miles per hour. which of these graphs best represents the distance the plane is from the airport, y, after traveling for x hours?
Answer:
what do the graphs look like, it would have a slope of 350
Step-by-step explanation:
What percent is:
45 of 36
Answer:
45 is 125% of 36, and 36 is 80% of 45.
Step-by-step explanation:
An item that cost $220 has been marked up by 15% since last year. However, a person can buy the item for a 25%
employee discount. How much will the employee pay?
Answer:189.75
Step-by-step explanation: 220 * 0.15 = 33
220 + 33 = 253
253 * 0.25 = 63.25
253 - 63.25 = 189.75
The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?
Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?
Answer:
store C
Step-by-step explanation:
if you divide 7.56 by 7 it'll be $1.08 per candy bar.
when a pendulum swings, at which point is potential energy highest?
Can someone Help me ASAP plss!!
In the figure shown, What is the value of x? a. 57° b. 123° c. 33° d. 147°
Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.
f(x) = x^3 + 2x, [-1,1]
Answer:
There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].
Step-by-step explanation:
Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.
If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]
[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)
The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.
According to the Mean Value Theorem, the following relationship is fulfilled:
[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)
If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:
[tex]3\cdot c^{2}+2 = 3[/tex]
[tex]3\cdot c^{2} = 1[/tex]
[tex]c = \sqrt{\frac{1}{3} }[/tex]
[tex]c \approx 0.577[/tex]
There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].
3z2 - 2z + 8
-
(10z2 +7z - 12)
Answer: 7z²-9z+20
Step-by-step explanation:
PEMDAS - Please Excuse My Dear Aunt Sally - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Jackie and her family went out for dinner for her birthday. The cost of the dinner before sales tax was $76.45. The family decides to tip 20% for the good service they received. How much did Jackie's family leave as a tip for her birthday meal?
Answer:
15.29 i think
Step-by-step explanation:
A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers
Step-by-step explanation:
Will mark as brainless if you answer correctly
Answer:
ans=10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10(4-7) / -(4 - 1)
10(-3) / -(3)
-30 / -3 =
10
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey? \
Answer:
19.2 mph
Step-by-step explanation:
just trust me
twice a number k plus the quantity s minus 2
Answer:
2k+s-2
im assuming
determine the slope of the line that passes through each pair of points (3,8) and (1,5)
Answer:
3/2
Step-by-step explanation:
i need help pls i cant understand my math hw
Answer:
Ok
Step-by-step explanation:
So what are we magically supposed to know what the equation is
Answer:
uh
Step-by-step explanation:
for us to help please write the question you are stuck on
Find all whole numbers m such that m and 5m+1 are prime numbers.
Answer:
2 only
Step-by-step explanation:
Only even PRIME number is 2.
Why do we need EVEN PRIME numbers?
Say we do 11*5 we get 55 but when we add one we get 56
Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.
rationalise the denominator 1/√20
Answer:
1/10
Step-by-step explanation:
uf no me dij hi g go be h in go i
Step-by-step explanation:
Given:1/√20
The denominator = 20
We know that
The rationalising factor of √a is √a. To rationalise the denominator of 1/√20, we multiply this by √20/√20.
1/√20
→ (1/√20) * (√20/√20)
→ [1(√20)]/[(√20)(√20)]
→ (√20)/√(20×20)
→ √20/20 Ans.
At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?
Answer:
4:5
Step-by-step explanation:
The ratio will be 60 : 75
When simplified becomes 4:5
An exam has two probability problems, 1 and 2. If 37% of the students solved problem 1 and 12% of the students solved both problems 1 and 2, what is the percent of students who solved problem 2 given that they solved problem 1
Answer:
63%
Step-by-step explanation:
37% did not solve problem 2
100% - 37% = 63%
PLS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYYY! PLS AND TY! :D
Answer: Kell would be making more money in 19 hours.
Step-by-step explanation:
If you add it up, Kell makes 136$ in only 16 hours but mariko makes 133 in the full 19 hours. Which means that Kell would make more in 19 hours. The total Kell makes in 19 hours is 161.5 and $161.5 > $133. Let me know if you need any more help!
-413.4=-15.9n please help
Answer:
[tex]\boxed {n = 26}[/tex]
Step-by-step explanation:
Solve for [tex]n[/tex]:
[tex]-413.4 = -15.9n[/tex]
-Switch sides:
[tex]-15.9n = -413.4[/tex]
-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:
[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]
[tex]n = \frac{-4134}{-159}[/tex]
-Divide [tex]-4134[/tex] and [tex]-159[/tex]:
[tex]n = \frac{-4134}{-159}[/tex]
[tex]\boxed {n = 26}[/tex]
Therefore, the value of [tex]n[/tex] is [tex]26[/tex].
18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.
Answer:
So when u do (-4)-(-6) it equals 2.
But when u do (-7)*(-8) it equals 56
Therefore saying that (-7)*(-8)=56 is the greatest product.
Step-by-step explanation:
6^3x=14 Show your work
Answer:
Is 3x supposed to be an exponent?
Step-by-step explanation:
Both possible answer are provided
3x as an exponent and as 6 times 3x
Simplify.
7√10+2√10-√10
7√10+2√10-√10
Every square root has the same radicand, which is 10. So, simply combine terms.
7 + 2 - 1 = 9 - 1 = 8
Answer: 8√10