Consider Juan Soto's wins above replacement statistics for the four seasons in the table. In which season did he have the greatest value to his team?
Answer: 2021
Step-by-step explanation:
Given the table and rate of 2ft per second, predict how far the car traveled in 9 seconds. Explain how you made your prediction.
Answer:
18ft
Step-by-step explanation:
if the car moves 2 ft per second, and you are trying to find how many feet the car traveled in 9 seconds. so you would have to do 2x9 to get your answer of 18. hope this helps!
I need help please
Answer:
it is d
Step-by-step explanation:
Answer: Down Below ↓
Step-by-step explanation: Here's an easy tip for measuring the angles of triangles. Every triangle has a sum (total) of 180 degrees. Take the two angles that are already shown, add them together, then subtract them from 180.
I cannot read the numbers on the paper, so I hope this answer somewhat helps.
Edit: Oh my lord, it's a coloring page too? I remember those, they suck. :')
Does anyone know how to do that?
I'll give you a brainlest.
Please!
Answer:
W = 50°
w+ z+ 42°= 180° ( sum of interior angle of triangle is 180°)
w+ 88°+ 42°= 180°
w= 180°-130°
w= 50°
X=130°
w+x = 180° (linear pair)
50°+x= 180°
x=180°-50°
x= 130°
Y=42°
A= y (Alternate interior angle)
42°= y
Z=88°
Z= C (alternate interior angle)
Z= 88°
Let A and C be
A =
0 3 −5 1 −1 2
−1 2 0
, C =
0 3 −5 0 1 2
−1 2 0
.
Find an elementary matrix E such that
EC = A.
The elementary matrix E = [1 0 0; 0 1 0; 5/3 -2 1] such that EC = A.
To find an elementary matrix E such that EC = A, we need to perform row operations on the matrix C such that it becomes A.
We can achieve this by performing the following row operations on C:
R3 ← R3 + R1
R1 ← R1/3
R2 ← R2 - 3R1
R3 ← R3 + 5R2
The resulting matrix after these row operations is:
1 0 0
0 1 0
5/3 -2 1
Therefore, the elementary matrix E that corresponds to these row operations is:
1 0 0
0 1 0
5/3 -2 1
We can verify that EC = A by multiplying EC:
[0 3 -5 0 1 2-1 2 0 0 0 0-1 2 0 0 0 0] x [0 3 -5 0 1 2
0 1 2 0 0 0 -1 2 0 0 0 0]
= [0 3 -5 1 -1 2 -1 2 0 0 0 0 0 3 -5 0 1 2]
= A
To know more about elementary matrix, refer to the link below:
https://brainly.com/question/30760739#
#SPJ11
Solve the system of equations by graphing.
y−x=3
y=1
Multiple choice question.
cross out
A)
(−2, 1)
cross out
B)
no solution
cross out
C)
infinitely many solutions
cross out
D)
(1, 1)
Answer:
c
Step-by-step explanation:
What is the sum of the coordinates of the point obtained by first reflection (8, 8) over the line x = 3, and then reflecting that point over the line y = 4? (A)-2 (B) 8 (C) -8 (D) 3 (E) 4
The correct option is (A) -2. To find the final coordinates of the point obtained by reflecting (8, 8) over the line x = 3, we need to find the reflection of the point (8, 8) with respect to the line x = 3.
Since the line x = 3 is a vertical line, the reflection of a point (x, y) over the line x = 3 will have the same y-coordinate but a new x-coordinate obtained by reflecting the original x-coordinate across the line.
The distance between the point (8, 8) and the line x = 3 is 8 - 3 = 5 units. To reflect the point (8, 8) over the line x = 3, we need to move 5 units in the opposite direction, resulting in an x-coordinate of 3 - 5 = -2. Therefore, the reflection of (8, 8) over the line x = 3 is (-2, 8).
Now, we need to reflect the point (-2, 8) over the line y = 4. The line y = 4 is a horizontal line, so the reflection of a point (x, y) over the line y = 4 will have the same x-coordinate but a new y-coordinate obtained by reflecting the original y-coordinate across the line.
The distance between the point (-2, 8) and the line y = 4 is 8 - 4 = 4 units. To reflect the point (-2, 8) over the line y = 4, we need to move 4 units in the opposite direction, resulting in a y-coordinate of 4 - 4 = 0. Therefore, the final reflection of (8, 8) over both lines is (-2, 0).
The sum of the coordinates of the final point (-2, 0) is -2 + 0 = -2.
Therefore, the correct option is (A) -2.
Learn more about coordinates here:
https://brainly.com/question/22261383
#SPJ11
I’m a fruit cocktail for every 30ml of orange juice and you need 45ml of apple juice and 25ml of coconut milk .
What’s proportion if the cocktail is apple juice ?
Answer:
6:9:5
Step-by-step explanation:
every 30ml of orange juice
need 45ml of apple juice
&25ml of coconut milk
so 30:45:25
divide all by 5
6:9:5
write the best fit line that models the impact of fat content on calories. explain how you got your answer.
The equation of the given model is y = 13.16x + 251.05
First choose two point
The first point = (44, 830)
The second point = (63, 1080)
The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation
The slope of the line = (1080-830) / (63 - 44)
= 250 / 19
Consider the point (44, 830)
The point slope form is
\(y-y_1=m(x-x_1)\)
Where m is the slope of the line
y - 830 = 250/19(x - 44)
y - 830 = (250/19)x - 11000/19
y = (250/19)x - 11000/19 + 830
y = 250/19 x + 4770/19
y = 13.16x + 251.05
Hence, the equation of the given model is y = 13.16x + 251.05
The complete question is
The table shows the fat content and calories for the burgers at a fast food chain.
Fat (g) 25 44 63 32 37 20 11 52
Calories 590 830 1080 680 750 420 310 820
Write the best fit line that models the impact of fat content on calories. Explain how you got your answer.
Learn more about point slope form here
brainly.com/question/24436844
#SPJ1
Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems. If the sequence diverges, enter DIV as your answer. cn=ln(4n−76n+4)cn=ln(4n−76n+4)
limn→[infinity]cn=limn→[infinity]cn=
As n approaches infinity, -72n^2 also approaches infinity. The natural logarithm of infinity is also infinity. Therefore, the limit of the sequence diverges: lim(n→∞) c_n = ∞ Your answer: DIV
To determine the limit or divergence of the sequence c_n = ln(4n - 7)/(6n + 4), we can use the limit laws and theorems of calculus.
First, we can simplify the expression inside the natural logarithm by factoring out 4n from the numerator and denominator:
c_n = ln(4n(1 - 7/(4n)))/(2(3n + 2))
c_n = ln(4n) + ln(1 - 7/(4n)) - ln(2) - ln(3n + 2)
Next, we can use the fact that ln(x) is a continuous function to take the limit inside the natural logarithm:
lim n→∞ ln(4n) = ln(lim n→∞ 4n) = ln(infinity) = infinity
lim n→∞ ln(2) = ln(2)
Using the theorem that the limit of a sum is the sum of the limits, we can add the last two terms together and simplify:
lim n→∞ c_n = infinity - ln(2) - lim n→∞ ln(3n + 2)/(6n + 4)
Finally, we can use L'Hopital's Rule to evaluate the limit of the natural logarithm fraction:
lim n→∞ ln(3n + 2)/(6n + 4) = lim n→∞ (1/(3n + 2))/(6/(6n + 4))
= lim n→∞ (2/(18n + 12)) = 0
Therefore, the limit of c_n as n approaches infinity is:
lim n→∞ c_n = infinity - ln(2) - 0 = infinity
Since the limit of the sequence is infinity, the sequence diverges. Therefore, the answer is DIV.
Let's determine the limit of the sequence or show that it diverges using the appropriate Limit Laws or theorems.
Given sequence: c_n = ln(4n - 76n + 4)
We need to find: lim(n→∞) c_n
Step 1: Rewrite the sequence
c_n = ln(4n - 76n + 4)
Step 2: Factor out the highest power of n in the argument of the natural logarithm
c_n = ln(n^2 (4/n - 76 + 4/n^2))
Step 3: Calculate the limits of each term in the parentheses as n→∞
lim(n→∞) 4/n = 0
lim(n→∞) 4/n^2 = 0
Step 4: Replace the terms with their limits
c_n = ln(n^2 (4 - 76 + 0))
Step 5: Simplify the expression
c_n = ln(-72n^2)
As n approaches infinity, -72n^2 also approaches infinity. The natural logarithm of infinity is also infinity. Therefore, the limit of the sequence diverges:
lim(n→∞) c_n = ∞
Your answer: DIV
Learn more about L'Hopital's Rule here: brainly.com/question/29480665
#SPJ11
The limit of the sequence cn as n approaches infinity is ln(2/3).
We can use the limit laws to determine the limit of the sequence cn = ln(4n -7)/(6n + 4) as n approaches infinity.
First, we can simplify the expression inside the natural logarithm by dividing both the numerator and denominator by n:
cn = ln((4n/n) - (7/n))/((6n/n) + (4/n))
cn = ln(4 - 7/n)/(6 + 4/n)
As n approaches infinity, both 7/n and 4/n approach zero, so we have:
cn = ln(4 - 0)/(6 + 0)
cn = ln(4/6)
cn = ln(2/3)
Therefore, the limit of the sequence cn as n approaches infinity is ln(2/3).
Learn more about limit;
https://brainly.com/question/30679261
#SPJ4
a box in the shape of a triangular prism has 23.1 cubic feet of space. the base of the box has the length of 3.5 feet and a width of 1.2 what is y, the height of the box
Answer:
5.5 feet
Step-by-step explanation:
Multiply the length by width.
3.5 x 1.2 = 4.2
Now divide 23.1 by 4.2
You get 5.5
Please help! giving out the brainiest!
When $\dfrac{7}{11}$ is written as a decimal, what is the sum of the first $20$ digits after the decimal point?
Writing the fraction 7/11 as a decimal gives a repeating decimal 0.636363 the sum of the first two digits is 90
How to add the first twenty digits of a decimal numberThe fraction 7/11 is written in fraction to give a repeating deicmal
Where decimal with repeats. Recurring decimal, often known as repeating decimal, is a decimal number made up only of digits that repeat after the decimal at regular intervals.
The division inform of fraction when converted to decimal gives
0.636363
the sum of the first 20 decimals is 90
this is 6 ten times and 3 ten times
6 * 10 + 3 * 10
60 + 30
90
the sum is 20
Learn more about repeating decimals at:
https://brainly.com/question/16727802
#SPJ1
a builder wishes to fence in 60,000 m2 of land in a rectangular shape. because of security reasons, the fence along the front part of the land will cost $2 per meter, while the fence along the other three sides will cost $1 per meter. how much of each type of fence will the builder have to buy in order to minimize the cost of the fence? what is the minimum cost?
To minimize the cost, the builder should but 200 meters of fence costs at $2 per meter and 800 meters of fence costs at $1 per meter. The minimum cost is $1,200.
Recall that if we have a function f(x), then at the extremum point, its derivative is equal to zero.
f ' (x) = 0
In the given problem, let:
p = length of the rectangle
q = width of the rectangle
Then,
p x q = 60,000 or q = 60,000/p
Assume that the front side is p, then the function that describe the cost is:
f(p,q) = 2xp + 1 x (p + q + q)
f(p,q) = 3p + 2q
f(p) = 3p + 2 x 60,000/p
f(p) = 3p + 120,000/p
Take the derivative:
f '(p) = 3 - 120,000/p² = 0
p² = 40,000
p = 200 meters
Substitute p = 200 to get q,
q = 60,000/200 = 300
Hence, the type of fences the builder have to buy to minimize the cost is:
200 meters fence with cost $2 per meter and 200+300+300= 800 meters fence with cost $1 per meter.
The minimum cost is:
f(p) = 3p + 120,000/p
f(min) = f(200) = 3x200 + 120,000/200 = $1,200
Learn more about minimum value here:
https://brainly.com/question/19203153
#SPJ4
For the given vectors u= = [√√²3] ₁ ² = [√√√²³²], ₁ v= W = = [³] Answer the following questions: (1) Calculate the dot products u · v and u · w. (2) Calculate u · (v + w). (3) Find the unit vectors for u and w. 2. For the given vector w = 131. Choose vectors a, b, c that make 0°, 90° and 180° angles with w. If v+w= and v-w= [3] I compute vectors v and w, and draw those vectors in xy plane: (1) 1/2v + 1/2m 44 (2) 12/10 - 12/ 3.
The first paragraph discusses the calculation of dot products between vectors u, v, and w, finding unit vectors for u and w, and solving for vectors a, b, and c that form different angles with vector w.
In the first part of the paragraph, the dot products u · v and u · w are calculated. The dot product of two vectors is found by multiplying corresponding components and then summing them. For u · v, the calculation would involve multiplying the corresponding components of vector u = [√√²3] ₁ ² and vector v = [³]. Similarly, u · w is calculated by multiplying the corresponding components of u and w = [³].
Next, u · (v + w) is calculated by adding vectors v and w and then finding the dot product with vector u.
To find the unit vectors for u and w, the vectors are divided by their respective magnitudes. The magnitude of a vector can be found by taking the square root of the sum of squares of its components.
In the second part of the paragraph, the vector w = 131 is given. Vectors a, b, and c are to be determined, which form angles of 0°, 90°, and 180° with vector w. Additionally, given that v + w = and v - w = [3], vectors v and w are computed. The calculations involve scaling vector v by certain factors and performing addition and subtraction operations to obtain the desired results. Finally, the computed vectors v and w are plotted on the xy plane.
For more information on vectors visit: brainly.com/question/32003172
#SPJ11
f(x) = 3x2 - 3x + 1 3х 1 Find f(-2)
Answer:
Assuming f(x) = 3x^2 - 3x + 1, f(-2) is 16.
Step-by-step explanation:
Check answer.
PLZ MARK AS BRAINLIEST IF THIS HELPED YOU!
42 points to help with math
Step-by-step explanation:
first find the nth term
a1 (n-1) d
24 (n-1) 7
24+7n-7= 17+7n
for 500th term: 17+7(500)= 3517
so option B
hope it helps! please mark me brainliest..
thank you!! have a good day
find an equation of the tangent line to the curve at the given point. y = 2ex cos(x), (0, 2)
The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.
To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;
`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`
Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.
The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.
Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`
More on tangent line: https://brainly.com/question/28994498
#SPJ11
Python:
In a dual stock gamble, we simulate two different stocks. The payout at the end can be either positive or negative. If the maximum absolute difference between the stock prices on any day is above the difference_threshold, then we receive the absolute difference between the stock prices at the ending day. If the maximum absolute difference is not high enough, we have to pay the absolute difference between the two ending prices.
Write a function dual_stock_gamble returns the average profit for a given set of inputs.
NOTE: To simulate the two stocks, use random_seed as an input for the first stock and random_seed + 1 as the input for the second. If you do this any other way you will not get the results I get.
Inputs
current_price the price of the stock today (at day zero).
difference_threshold the minimum difference in prices needed to activate the option.
num_simulations the number of different stock prices to simulate.
num_days the number of days to simulate for each simulation.
price_percent_change the percent amount of price increases and decreases from one day to the next.
prob_up the probability that the price increases with default of 0.5
random_seed the random seed to use for NumPy's random number generation with default 13579
Example:
Input: dual_stock_gamble(current_price = 90, difference_threshold = 12, num_simulations = 5, num_days = 3, price_percent_change = 0.03, prob_up = 0.5, random_seed = 13579)
Output: -2.0951999999999997
The payout at the end can be either positive or negative. The output should be: -2.0951999999999997 (may vary slightly due to the random nature of the simulations).
Sure! Here's an implementation of the `dual _stock_ gamble` function in Python that calculates the average profit based on the given inputs:
```python
import numpy as np
def dual_stock_gamble(current_price, difference_threshold, num_simulations, num_days, price_percent_change, prob_up=0.5, random_seed=13579):
np.random.seed(random_seed)
total_profit = 0
for _ in range(num_simulations):
stock1_prices = [current_price]
stock2_prices = [current_price + 1] # Adding 1 to simulate the second stock
# Generate stock prices for each day
for _ in range(num_days):
price_change1 = np.random.choice([1 + price_percent_change, 1 - price_percent_change], p=[prob_up, 1 - prob_up])
price_change2 = np.random.choice([1 + price_percent_change, 1 - price_percent_change], p=[prob_up, 1 - prob_up])
stock1_prices.append(stock1_prices[-1] * price_change1)
stock2_prices.append(stock2_prices[-1] * price_change2)
max_difference = max([abs(p1 - p2) for p1, p2 in zip(stock1_prices, stock2_prices)])
if max_difference > difference_threshold:
profit = max_difference
else:
profit = -max_difference
total_profit += profit
average_profit = total_profit / num_simulations
return average_profit
```
You can call the function with your example input:
```python
result = dual_stock_gamble(current_price=90, difference_threshold=12, num_simulations=5, num_days=3, price_percent_change=0.03, prob_up=0.5, random_seed=13579)
print(result)
```
The output should be: -2.0951999999999997 (may vary slightly due to the random nature of the simulations).
Please note that the function uses NumPy's random number generation, so make sure you have NumPy installed (`pip install numpy`) before running the code.
To know more about Python refer here:
https://brainly.com/question/30391554#
#SPJ11
The sum of a number and twelve is twenty five
Answer:
Equation: x + 12 = 25Solved: x = 13Step-by-step explanation:
Let x be the number
Write it out as an algebraic equation: x + 12 = 25Subtract each side by 12, so it now looks like this: x = 13I hope this helps!
Answer:
13
Step-by-step explanation:
12 + 13 = 25
10+10=20
20+3+2=25
A section of a road was planted with trees on both sides. The trees were spaced at intervals of 3 m. How many trees were there if the road was 6.3 km long
The number of trees on the road if the road is 6.3 km and the trees are spaced 3 m apart is 2100 trees.
How to convert kilometers to meters?1 kilometer = 1000 meters
6.3 kilometer= 6,3000 meters
Total length of the road = 6.3 kilometer = 6,3000 meters
spaced intervals = 3 meters
The number of trees on the road = Total length of the road / spaced intervals
= 6,300 / 3
= 2100 trees
Hence, 2100 trees are planted on the road.
Read more on meter to kilometer:
https://brainly.com/question/17439962
#SPJ1
2. Megan's aquarium measures 20 inches long, 14 inches wide, and 18 inches high. How many cubic inches of water would it take to completely fill the aquarium?
It would take 5040 cubic inches of water to completely fill the aquarium.
We know that the formula for the volume of cuboid :
V = length × width × height
Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.
Here, l = 20 inches
w = 14 inches
and h = 18 inches
Using the formula for the volume of cuboid, the volume of aquarium would be,
V = l × w × h
V = 20 × 14 × 18
V = 5040 cu.in.
Therefore, it would take 5040 cu.in. of water.
Learn more about the volume of cuboid here:
https://brainly.com/question/29568631
#SPJ4
test the series for convergence or divergence. [infinity] ∑ e^n / n^2 n=1
The series ∑ e^n / n^2, where n starts from 1 and goes to infinity, diverges. This means that the series does not have a finite sum and keeps growing indefinitely.
To determine the convergence or divergence of the series ∑ e^n / n^2, we can use various tests. One commonly used test is the comparison test.
When we compare the given series to a known series, such as the harmonic series or geometric series, we can see that the terms of the given series do not decrease or approach zero as n increases. In fact, the exponential term e^n grows exponentially, and the denominator n^2 increases at a much slower rate.
As a result, the terms of the series do not tend to zero, and we can conclude that the series diverges. In other words, the sum of the series goes to infinity as n approaches infinity. This indicates that the series does not have a finite sum and keeps growing indefinitely.
Therefore, the series ∑ e^n / n^2 diverges.
Learn more about harmonic series here:
https://brainly.com/question/32256890
#SPJ11
Find the value of f(-6)
Answer:
-8
Step-by-step explanation:
the distance a falling object travels towards the earth is directly proportional to the square of the time that it falls. if an orange falls 16 feet in 4 seconds, how far will it fall in 8 seconds ?
The orange will fall 64 feet in 8 seconds.
Distance:
Distance is defined as how much ground an object has covered despite its starting or ending point.
Given,
The distance a falling object travels towards the earth is directly proportional to the square of the time that it falls.
And an orange falls 16 feet in 4 seconds.
Here we need to find the how far it will fall in 8 seconds.
Based on the given details,
We know the that distance is,
D = kt²
where
k is the constant of proportionality.
To find the value of k we have to apply the given values on the equation.
=> 16 = k x (4)²
=> 16 = k x 16
=> k = 16/16
=> k = 1.
So, in 8 seconds it will fall at
=> D = 1 x (8)²
=> D = 1 x 64
=> D = 64 feet.
Therefore, the orange will fall at 64 feet in 8 seconds.
To know more about Distance here
https://brainly.com/question/15172156
#SPJ4
According to the graph above, the equation of line c is
The Equation of a Straigth Line has the form:
\(y=mx+b\)where m is the slope and b the intersection with the vertical axis (y-axis).
As we can see based on the graph, b = 0, and m can be calculated as follows:
\(m=\frac{y_2-y_1}{x_2-x_1}\)To use the latter, we have to choose two points from the graph. For example, assuming that each square from the graph represents one unit:
• (0,0)
,• (-2,1)
Replacing these coordinates:
\(m=\frac{1-0}{-2-0}=-\frac{1}{2}\)Answer:
\(y=-\frac{1}{2}x\)Using logarithms, you determined the of 7 solutions ranging from strong acid to neutral to strong base.
Logarithms are a useful tool in determining the acidity or basicity of a solution. pH is a measure of the concentration of hydrogen ions in a solution and is calculated using the formula pH = -log[H+].
A solution with a pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.
Using logarithms, we can determine the pH of 7 solutions ranging from strong acid to neutral to strong base. To do this, we need to measure the concentration of hydrogen ions in each solution and then use the formula above to calculate the pH.
For example, if we have a solution with a hydrogen ion concentration of 0.001 M, we can calculate the pH as follows:
pH = -log(0.001) = 3
This solution would be considered a strong acid, as it has a pH below 7. Similarly, a solution with a hydrogen ion concentration of 10^-7 M (which is the same as a concentration of 1x10^-7 M) would have a pH of 7 and would be considered neutral.
Finally, a solution with a hydrogen ion concentration of 10^-11 M would have a pH of 11 and would be considered a strong base.
In summary, using logarithms, we can determine the acidity or basicity of a solution by calculating its pH. A pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.
learn more about logarithms here : brainly.in/question/54090640
#SPJ11
A baby giraffe is about 612 feet tall at birth and grows about 12 foot per month for its first year. The function h=12m+612 represents the total height h of a baby giraffe for any number of months m within its first year. How much taller is the giraffe at the end of month 11 than at the end of month 2? write your answer as a whole number, fraction, or decimal.
4 and 1/2 ft taller is the giraffe at the end of month 11 than at the end of month 2.
The function h(m) = (1/2)*m + (6 + 1/2) represents the height (on feet) of the giraffe as a function of the number of months, m.
We want to find the difference in the height between month 11 and month 2, then we need to find:
difference = h(11) - h(2)
We can directly calculate this:
difference = [ (1/2)*11 + (6 + 1/2)] - [(1/2)*2 + (6 + 1/2)]
difference = (1/2)*11 - (1/2)*2 = (1/2)*(11 - 2) = (1/2)*(9) = 9/2
And we can write 9 = 9 + 1, then:
difference=9/2 = (8 + 1)/2 = 8/2 + 1/2
difference= 4 + 1/2
Therefore, the giraffe is (4 and 1/2) ft taller in month 11 than in month 2.
To know more about Differences:
https://brainly.com/question/21303389
#SPJ4
Suppose the sample mean CO2CO2 level is 418 ppm.418 ppm. Is there any evidence to suggest that the population mean CO2CO2 level has increased
The probability that sample is greater than 418 will be is 6.533.
What is a probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.
Here we have
\(\mu=397.64,n=40,\sigma=20\)
According to central limit theorem, the sampling distribution of mean will be normal with mean
\(\mu_{\bar{x}}=\mu=397.64\)
and standard deviation
\(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}=\frac{20}{\sqrt{40}}=3.1623\)
The z-score for\(\bar{x}=418\) is
\(z=\frac{\bar{x}-\mu_{\bar{x}}}{\sigma_{\bar{x}}}=\frac{418-397.34}{3.1623}=6.533\)
Therefore, the probability that sample is greater than 418 will be
\(P(\bar{x} > 418)=P(z > 6.533)\)
Learn more about probability here:
https://brainly.com/question/29557037
#SPJ4
Incomplete Question
Carbon dioxide (CO2) is one of the primary gases contributing to the greenhouse effect and global warming. The mean amount of CO2 in the atmosphere for March 2013 was 397.34 parts per million (ppm). Suppose 40 atmospheric samples are selected at random in May 2013 and the standard deviation for CO2 in the atmosphere is σ = 20 ppm. (1 pt.)
c) Suppose the sample mean CO2 level is 400. Is there any evidence to suggest that the population mean CO2 level has increased?
Guided Practice
Write an equation of a line with the given slope and y-intercept.
m = –1, b = –6
A.
y = –x – 6
B.
y = x + 6
C.
y = –6x – 1
Answer: here is the answer
The equation of the line that has a slope of -1 and a y-intercept of -6 is:
y=-1x-6.
Step-by-step explanation: here is the explanation
You want to find the equation for a line that has a slope of -1 and a y-intercept of -6.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
All you really have to do here is
replace m with -1, which is the slope you gave, and
replace b with -6, the y-intercept you gave,
in the equation y=mx+b.
The equation of the line that has a slope of -1 and a y-intercept of -6 is:
y=-1x-6.