Answer:
R = 13%
Step-by-step explanation:
P = $4000
I = $780
T = 18 months = 18/12 years
\(I = \frac{PRT}{100} \\\\780 = \frac{ 4000 \times R \times \frac{18}{12}}{100}\\\\780 = \frac{6000 \times R }{100}\\\\780 = 60R\\\\R = \frac{780}{60} = 13 \%\)
which of the following is correct? the larger the level of significance, the more likely you are to fail to reject the null hypothesis. the level of significance is the maximum risk we are willing to take in committing a type ii error. for a given level of significance, if the sample size increases, the probability of committing a type i error will remain the same. for a given level of significance, if the sample size increases, the probability of committing a type ii error will increase.
Answer:
Step-by-step explanation:
Find the first partial derivatives of the function. w = ln(x + 9y + 6z) partial differential w/partial differential x = partial differential w/partial differential y = partial differential w/partial differential z =
We have the function:
w = ln(x + 9y + 6z)
Taking the partial derivative with respect to x, we get:
partial w / partial x = 1 / (x + 9y + 6z) * (1)
Taking the partial derivative with respect to y, we get:
partial w / partial y = 1 / (x + 9y + 6z) * 9
Taking the partial derivative with respect to z, we get:
partial w / partial z = 1 / (x + 9y + 6z) * 6
Therefore, the first partial derivatives of w are:
partial w / partial x = 1 / (x + 9y + 6z)
partial w / partial y = 9 / (x + 9y + 6z)
partial w / partial z = 6 / (x + 9y + 6z)
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NEED ANSWER(s)!!! THANK YOU!!!
Answer: A. Sea otter (5 meters below sea level) Fish(1 meter below sea level) and Bird (4 meters above sea level)
B. Fish is closest to sea level by only 1 meter, Bird is 4 meters above sea level, so it would be second, and Sea Otter is the farthest from Sea level because it is 5 meters under sea level
Step-by-step explanation: that is my explanation, and to explain what i said, 0 is sea-level
what is 3 and 1/6 as an improper fraction
Answer:
Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer
d = -gt^2 + vt + c. the equation expresses the distance, d, in feet, of a ball t seconds after it is thrown straight up with an initial velocity of v feet per second and from a starting point of c feet. which of the following expresses v in terms of d, g, t, and c? A) v = d - c - + g/t B) v = d + c + g/t C) v = d + c/t - gt D) v = d - c/t + gt
Given:
\(d=-gt^2+vt+c\)To express v in terms of d, g, t, and c, take the following steps:
Step 1:
Subtract c from both sides
\(\begin{gathered} d-c=-gt^2+vt+c-c \\ \\ d-c=-gt^2+vt \end{gathered}\)Step 2:
Divide through by t:
\(\begin{gathered} \frac{d}{t}-\frac{c}{t}=\frac{-gt^2}{t}+\frac{vt}{t} \\ \\ \\ \frac{d}{t}-\frac{c}{t}=-gt+v \end{gathered}\)Step 3:
Add gt to both sides
\(\begin{gathered} \frac{d}{t}-\frac{c}{t}+gt=-gt+gt+v \\ \\ \frac{d}{t}-\frac{c}{t}+gt=v \\ \\ v=\frac{d}{t}-\frac{c}{t}+gt \end{gathered}\)Therefore, the expression of v in terms of d, g, and c is:
\(v\text{ = }\frac{d}{t}-\frac{c}{t}+gt\)ANSWER:
\(v=\frac{d}{t}-\frac{c}{t}+gt\)(refer to figure 26, area 2.) the visibility and cloud clearance requirements to operate vfr during daylight hours over the town of cooperstown between 1,200 feet agl and 10,000 feet msl are
The visibility requirement is 3 statute miles, and cloud clearance requires maintaining 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds during VFR daylight operations over Coopers Town.
Determine how to find the visibility and cloud clearance requirements to operate VFR?The visibility and cloud clearance requirements to operate VFR during daylight hours over the town of Coopers Town between 1,200 feet AGL and 10,000 feet MSL are as follows:
1. Visibility: The minimum visibility required is 3 statute miles.
2. Cloud clearance: Maintain a distance of at least 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds.
According to VFR regulations, pilots flying during daylight hours must adhere to certain visibility and cloud clearance requirements for safety. The visibility requirement of 3 statute miles means that the pilot must have a clear horizontal view of at least 3 miles ahead.
This ensures sufficient visual reference to navigate and avoid other aircraft or obstacles.
Regarding cloud clearance, pilots must maintain a safe distance from clouds to ensure visibility and separation from potential hazards. The requirement is to remain at least 500 feet below clouds to avoid inadvertently entering them.
Additionally, pilots must maintain a minimum of 1,000 feet above clouds to prevent the risk of collision or reduced visibility due to cloud turbulence. Lastly, a horizontal separation of 2,000 feet from clouds helps ensure adequate maneuvering space and visual reference in relation to cloud formations.
These visibility and cloud clearance requirements help maintain safety and situational awareness for VFR operations during daylight hours over Coopers Town.
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Which are two possible reasons for the change within the frog population?
–3.2, 4.8, –7.2, 10.8, …
The given sequence;–3.2, 4.8, –7.2, 10.8, is a geometric progression common ratio of -1.5.
What is a geometric series?When all the terms of a geometric sequence are added, then that expression is called geometric series.
The given sequence ;
–3.2, 4.8, –7.2, 10.8, …
The common ratio
= -4.8/ 3.2
= - 1.5
The terms having a common ratio of -1.5 best describe the relationship between the successive terms in the sequence of the terms.
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write a set of commands in the live script to generate a pascal matrix of size 5 x 5.
To generate a Pascal matrix of size 5 x 5 in MATLAB live script, you can use the `pascal` function followed by indexing to obtain the desired size.
Here are the commands:
```matlab
p = pascal(5);
p = p(1:5, 1:5);
disp(p)
```
The `pascal` function in MATLAB generates a Pascal matrix of a specified size. The resulting matrix has the same number of rows and columns as the input argument.
To obtain a Pascal matrix of size 5 x 5, we use the `pascal(5)` command. However, this will generate a matrix of size 5 x 5 with extra rows and columns. Therefore, we use indexing to extract the first 5 rows and columns using `p(1:5, 1:5)`.
Lastly, we use `disp(p)` to display the resulting Pascal matrix in the command window.
By using the `pascal` function and indexing, we can easily generate a Pascal matrix of a specified size in MATLAB live script.
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if a basket of goods costs $100 in the united states and 300 pesos in mexico, and if the exchange rate is $1 = 5 pesos, then the dollar price of the basket of goods in mexico is:
The dollar price of the basket of goods in Mexico is $60. To find the dollar price of the basket of goods in Mexico,
we need to convert the price from pesos to dollars using the given exchange rate. We can do this by dividing the price in pesos by the exchange rate:
300 pesos ÷ 5 pesos/$1 = $60
Therefore, the dollar price of the basket of goods in Mexico is $60. It's important to note that exchange rates can fluctuate over time, which can impact the relative prices of goods between countries.
In this example, a weaker peso relative to the dollar makes the basket of goods appear cheaper in Mexico than in the United States.
However, if the exchange rate were to change, the relative prices of goods would also change.
Additionally, other factors such as tariffs, taxes, and transportation costs can also impact the prices of goods in different countries.
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in a hand of 13 cards drawn randomly from a pack of 52, find the chance of: a) no court cards (j, q, k, a); b) at least one ace but no other court cards; c) at most one kind of court card.
a) The chance of drawing no court cards (J, Q, K, A) in a hand of 13 cards randomly drawn from a pack of 52 is approximately 0.294. b) The chance of drawing at least one ace but no other court cards in a hand of 13 cards is approximately 0.089. c) The chance of drawing at most one kind of court card (J, Q, K, A) in a hand of 13 cards is approximately 0.633.
a) To find the chance of drawing no court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are 36 non-court cards (52 cards - 16 court cards), and we want to draw 13 cards without any court cards. The probability can be calculated using the formula:
Probability = (number of favorable outcomes) / (total number of possible outcomes)
The number of favorable outcomes is the number of ways to choose 13 cards from the 36 non-court cards, which can be calculated using combinations. Thus, the probability is:
Probability = C(36, 13) / C(52, 13) ≈ 0.2936
b) To find the chance of drawing at least one ace but no other court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 aces in the deck, and we want to draw at least one of them along with 12 non-court cards (36 non-court cards - 4 aces).
The probability can be calculated using the formula:
Probability = (number of favorable outcomes) / (total number of possible outcomes)
For drawing two aces, there are C(4, 2) ways to choose two aces and C(36, 11) ways to choose the remaining non-court cards.
Thus, the probability is:
Probability = [C(4, 1) * C(36, 12) + C(4, 2) * C(36, 11)] / C(52, 13) ≈ 0.0892
c) To find the chance of drawing at most one kind of court card, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 court cards of each kind (J, Q, K, A), and we want to draw at most one kind of court card.
The probability can be calculated using the formula:
Probability = (number of favorable outcomes) / (total number of possible outcomes)
The number of favorable outcomes is the sum of three cases: drawing no court cards, drawing only one kind of court card, and drawing one court card of each kind. We have already calculated the probability of drawing no court cards in part (a).
Thus, the probability is:
Probability = [C(36, 13) + 4 * C(36, 13) + 4 * C(36, 12)] / C
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To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability. The chance of no court cards can be calculated using combinations. The probability of at least one ace but no other court cards can be found by subtracting the probability of no aces from the probability of no court cards. The probability of at most one kind of court card can be calculated by finding the probability of having zero court cards and one court card.
Explanation:To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability.
a) No court cards:
There are 12 court cards (J, Q, K, A) in a deck of 52 cards. So, to have no court cards in a hand, we need to select all 13 cards from the remaining 40 non-court cards. The probability can be calculated as 40C13/52C13.
b) At least one ace but no other court cards:
To find this probability, we need to subtract the probability of having no aces from the probability of having no court cards. The probability of having no aces is 48C13/52C13, and the probability of having no court cards is 40C13/52C13. The result is the difference between these two probabilities.
c) At most one kind of court card:
To find the probability of having at most one kind of court card, we can calculate the probability of having zero court cards or one court card. The probability of having zero court cards can be calculated as 40C13/52C13, and the probability of having one court card can be calculated as 12C1 * 40C12/52C13. The sum of these two probabilities gives the probability of having at most one kind of court card.
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Find the perimeter of the figure shown above.
a. 40 cm
b. 60 cm
C. 52 cm
d. 75 cm
HELPP PLSSSSSSSSSS i would really appreciate it
Applying exponential properties, we have that the solution to the given expression is:
\(-\frac{125}{343}\)
How do we proceed when a fraction is elevated to the exponent?When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.
In this problem, we have that:
The numerator is of 5, hence 5³ = 125.The denominator is of 7, hence 7³ = 343.Negative base with odd exponent, hence the solution is negative and given as follows:
\(-\frac{125}{343}\)
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A cosmetics manufacturer's marketing department has developed a linear trend equation that can be used to predict annual sales of its popular Hand & Foot Cream. F1 = 80 + 151 where F, = Annual sales (000 bottles) t is in years a. Are annual sales increasing or decreasing? By how much? b. Predict annual sales for year 6 using the equation.
The annual sales of the Hand & Foot Cream are increasing by 151,000 bottles per year. Based on the linear trend equation, the predicted annual sales for year 6 is 1,006,000 bottles.
According to the given linear trend equation F1 = 80 + 151, the constant term 80 represents the initial annual sales at the start of the trend. The coefficient of the independent variable t, which represents the number of years, is 151.
To determine whether the annual sales are increasing or decreasing, we look at the coefficient of t. Since the coefficient is positive (151), it indicates that the annual sales are increasing over time. The coefficient tells us that for every year that passes, the annual sales increase by 151,000 bottles. Therefore, the annual sales are experiencing positive growth.
To predict the annual sales for year 6, we substitute t = 6 into the equation. Plugging in the value, we have F6 = 80 + (151 * 6) = 80 + 906 = 986. Therefore, the predicted annual sales for year 6 is 986,000 bottles.
In conclusion, the annual sales of the Hand & Foot Cream are increasing by 151,000 bottles per year. Based on the linear trend equation, the predicted annual sales for year 6 is 986,000 bottles. This indicates that the product's popularity and demand are growing steadily.
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yes again pls help guys
Answer:
60
Step-by-step explanation:
A pickup truck traveled 12 miles in the same amount of time it took a school bus to travel 8 miles along the same route. The school bus was traveling 15 miles per hour slower than the pickup truck. Write and solve a rational equation that can be used to determine how fast was each vehicle traveling. pickup truck's speed: mph bus's speed: mph
Answer:
the pickup truck went 45 mph
the bus went 30mph
Step-by-step explanation:
uh i just guessed tbh & got it right
A password with 5 characters is randomly selected from the 26 letters of the alphabet.
What is the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent?
The probability of a password without repeating letters is 66.4%
What are permutations?
The permutation is the selection of some or all of the objects from a set and then arranging them by paying attention to the order
If the selected object cannot be repeated, then the permutation can be calculated as:
\(nPr = \frac{n!}{(n-r)!}\)
But if the selected object can be repeated, then the permutation can be calculated as:
\(nPr = n^{r}\)
where n is the total number of objects and r is the number of objects selected. Therefore, n cannot be less than r (n ≥ r)
In the above problem, we know that the number of letters in the alphabet is 26. To find out how many 5-letter passwords are generated without repeating letters, it can be calculated using the non-repetition permutation formula:
\(nPr = \frac{n!}{(n-r)!}\)
\(= \frac{26!}{(26-5)!}\)
\(= \frac{26 . 25 .24 .23 .22 .21!}{21!}\)
= 7893600 passwords
Meanwhile, the 5-letter password generated by repeating letters can be calculated using the permutation formula:
\(nPr = n^{r} \\= 26^{5}\)
= 11881376 passwords
So the probability of a password without repeating letters can be calculated as follows = 7893600 / 11881376 x 100% = 66.4%
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the major multivariate technique for examining ________, is factor analysis.
- interobject similarity
- variable interdependence
- more than one dependent variable
- one dependent variable
The major multivariate technique for examining variable interdependence is factor analysis.
Factor analysis is a multivariate statistical technique used to identify patterns in the relationships among a large number of variables. Specifically, it is used to examine variable interdependence, which refers to the degree to which variables are related to one another in a dataset.
In factor analysis, the goal is to identify underlying factors or dimensions that account for the observed patterns of correlation among the variables. By doing so, it is possible to reduce the number of variables to a smaller set of factors that capture the essential information contained in the original variables. This can be useful for a variety of purposes, such as data reduction, hypothesis testing, and exploratory data analysis.
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Which of the six trigonometric functions has a period of \(2\pi\) and passes through the point \((\pi, 0)\)?
Answer:
i need points rq thanks so much
Step-by-step explanation:
imma go waste these points now
Answer:
x
Step-by-step explanation:
What is the equation of a circle with a center (8, 4) and radius of 7?
The equation of a circle with a center (8, 4) and radius of 7
(x - 8)² + (y - 4)² = 49How to determine the equation the circleInformation given in the question
the equation of a circle with a center (8, 4) and radius of 7
Equation of a circle is given as
(x - h)² + (y - k)² = r²
The equation of the circle is written by substituting for h and k and r where
h = 8
k = 4
r = 7
substituting the values of h k and r into the equation results to
(x - 8)² + (y - 4)² = 7²
(x - 8)² + (y - 4)² = 49
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A $20 T-shirt was reduced by 20%. What is the new price of the T-shirt?
Answer: $16
Step-by-step explanation:
reduce by 20% means cutting from 100% and leftover with 80% of original
100%-20%=80%
original price: $20×100%=$20
after reduction: $20×(100%-20%)=$16
Answer:
16
Step-by-step explanation:
First find the discount
20 * 20%
20 * .20
4
Subtract this from the price
20 -4
16
The new price is 16
Sort each function into the correct category
f(x) = 0.45-1
Linear Functions
Quadratic Functions
Exponential Functions
f(x) = 5
f(x) = 4,5x + 1.8
f(x) = 19x2
f(x) = x2 - 3x + 4
Fx) = 2x - 6
Answer:
^ DONT LISTEN TO HIM
Step-by-step explanation:
linear - 4.5x + 1.8 and 2x - 6
quadratic - 19x^2 and x^2 - 3x + 4
exponential - 5^x and 0.45^x-1
ur welcome if ur using edge
pls solve this as soon as possible
Answer:
x³ - y³ = 0
Step-by-step explanation:
Given : \(\frac{x}{y}+\frac{y}{x}=-1\)
To Find : value of (x³ - y³)
Since, \(\frac{x}{y}+\frac{y}{x}=-1\)
\(\frac{x^2+y^2}{xy}=-1\)
x² + y² = -xy
x² + y² + xy = 0 -----(1)
Since, x³ - y³ = (x - y)(x² + xy + y²) [From the formula, (a³ - b³) = (a -b)(a²+ b² + ab)
= (x - y)(0) {From equation (1)]
= 0
Therefore, value of x³ - y³ = 0 will be the answer.
The objective is graph the inequalities in the coordinate plane. *10 POINTS*
thsgs the best i can help but I think the line would be dashed not sure
Bernard had 15 red notebooks, 17 blue notebooks and 19 white
notebooks. He gave some of them to Tom and had 5 left. How
many notebooks did Bernard give Tom?
Answer:
He gave 46 to Tom
Step-by-step explanation:
He started is 51 notebooks- 15 + 17 + 19 = 51
He then gave some away until he only had 5 left 51 - 5 = 46
He gave 46 to Tom
⚠️⚠️⚠️ASAP HURRY PLS⚠️⚠️⚠️
On the coordinate plane shown, one line shows combinations of dimes and quarters that
are worth $3. The other line shows combinations of dimes and quarters that total to 12
coins.
1. Name one combination of 12 coins shown on the graph.
2. Name one combination of coins shown on the graph that total to $3.
1. number of dimes=6
number of quarters=6
2. number of dimes = 5
number of quarters =10
What are coordinates?
A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).
1. consider the coins line ( black one):
Corresponding to 6 on the x-axis, there is 6 on the y axis
So, number of dimes=6
number of quarters=6
2. consider the total to $3 line ( green one )
number of dimes = 5
number of quarters =10
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help pls and thank you :)
Answer: x+2y+6=0
Option 3
Explanation:
y = (-x-6)/2
2y = -x-6
x+2y+6=0
Must click thanks and mark brainliest
What is the total surface area of this rectangular prism?
Answer:
keep going you got it
Step-by-step explanation:
Answer:
178
Step-by-step explanation:
A=2(wl+hl+hw)=
2·(4·11+3·11+3·4)=178
What is 1 and 2/5 as an Improper faction in its simplest form
Answer:
\(\frac{7}{5}\)
Step-by-step explanation:
1 \(\frac{2}{5}\)
= 1 + \(\frac{2}{5}\)
= \(\frac{5}{5}\) + \(\frac{2}{5}\)
= \(\frac{5+2}{5}\)
= \(\frac{7}{5}\)
The fraction is:
7/5
Step-by-step explanation:
The number we're given is:
\(\large\pmb{1\dfrac{2}{5}}\)
To convert it into an improper fraction, we first multiply the whole number part (1) times the denominator (5). Then, we add 2, the numerator. We get 7.
That is the numerator of the improper fraction. As for the denominator, we just copy it.
\(\pmb{\dfrac{7}{5}}\)
Therefore, the answer is 7/5.
(9x + 14)
Simplify:
N
Answer:
9x+14
Step-by-step explanation:
there are no like terms
Find the missing dimension of a rectangular prism with a
volume of 120 cubic feet, a width of 4 feet, and a length of
4 feet.
Answer:
7.5
Step-by-step explanation:
volume = lwh
4 x 4 x h = 120
4 x 4 = 16
120/ 16 = 7.5