Answer:
3x−20
Step-by-step explanation:
3x−9+−3−8
Subtract 3 from −9 to get −12.
3x−12−8
Subtract 8 from −12 to get −20.
3x−20
The initial and terminal points of RS are given below. Write the vector as a linear combination of standard unit vectors i and j.
R(11,-4) and S(10, 3)
The vector as a linear combination of standard unit vectors i and j is,
⇒ - i + 7j
We have to given that;
The initial and terminal points of RS are given below,
⇒ R(11, -4) and S(10, 3)
Hence, We can write as;
R = 11i - 4j
S = 10i + 3j
Hence, The vector as a linear combination of standard unit vectors i and j is,
⇒ RS = S - R
= (10i + 3j) - (11i - 4j)
= - i + 7j
Thus, The vector as a linear combination of standard unit vectors i and j is,
⇒ - i + 7j
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What is the answer? I don’t get it
Find the area of this L shaped prism in cm2
The area of the L-shaped prism is 360 cm^2.
To find the area of the L-shaped prism in cm^2, we need to add up the areas of all six faces.
First, we can find the area of the two rectangular faces by multiplying the length and width of each face. From the diagram, we see that one rectangular face has dimensions 8 cm by 12 cm, while the other has dimensions 6 cm by 12 cm. Therefore, the total area of the rectangular faces is:
8 cm x 12 cm + 6 cm x 12 cm = 144 cm^2 + 72 cm^2 = 216 cm^2
Next, we can find the area of the four square faces by multiplying the length of one side by itself and then multiplying by the number of faces. Each square face has dimensions of 6 cm by 6 cm. Therefore, the total area of the square faces is:
6 cm x 6 cm x 4 = 144 cm^2
To find the total area of the L-shaped prism, we add up the areas of all six faces:
216 cm^2 + 144 cm^2 = 360 cm^2
Therefore, the area of the L-shaped prism is 360 cm^2.
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Jill's weight is 92 kg 250 g. Jill's sister's weight is 8 kg 600 g less than Jill's weight. How much does the sister weigh?
Answer:
S = 83 g and 650 kg.
Step-by-step explanation:
Gram (g)= 1000 kilograms (kg).
Jill (J)= 92000 + 250 kg.
J = 92250 kg
Sister (S) = J - (8000 + 600 kg)
S = 92250 - 8600 kg
S = 83650 kg.
S = 83 g and 650 kg.
The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price? without using subtraction
Answer:
$10.2
Step-by-step explanation:
Use this formula:
Price of product after discount = Initial Price * ( 1 - (discount/100) )
how do i solve (3c^2d^4) ^3 x (2c^5d^8)^3?
Answer:
\(216c^{21}d^{36}\)
Step-by-step explanation:
\((3c^2d^4)^3 * (2x^5d^8)^3\)
\((3c^2)^3 (d^4)^3 * (2c^5)^3 (d^8)^3\)
\(27c^6 d^{12} * 8c^{15} d^{24}\)
\(216c^{21}d^{36}\)
Hope this helps!
The lengths of a certain species of fish are approximately normally distributed with a given mean ll and standard
deviation. According to the Empirical Rule, what percentage of the fish will have lengths within 1 standard deviation
of the mean?
-34%
-47.5%
-68%
-99.7%
The percentage of fish which will have the lengths within 1 standard deviation of the mean is 68%.
What is Empirical Rule?Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.
According to empirical rule,
68% of the data lies in the standard deviation of ±1.
95% of the data lies in the standard deviation of ±2.
99.7% of the data lies in the standard deviation of ±3.
Given,
The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation.
According to the Empirical Rule, 68% of the fish will have lengths within 1 standard deviation of the mean.
Hence the required percentage is 68%.
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question 6
Match each number that is in scientific notation to its calculator shorthand representation
The calculator short hand notations are;
a) -4E3
b) -3E4
c) 3E4
d) 4E3
What is the calculator short hand notation?We have to note that the calculator short hand notation has to do with the manner in which the calculator would show an exponential function when we are solving the mathematical problem using the calculator.
It is common to see that the calculator would display the letter E to stand in for the mathematical figure * 10^n. The letter that is depicted by n would then be written at the right hand side of the letter E.
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terry is skiing down a steep hill. terry's elevation, e ( t ) , in feet after t seconds is given by e ( t ) = 3000 − 90 t . Write a complete sentence describing Terry’s starting elevation and how it is changing over time.
Terry's starting elevation is 3000 feet, and it is decreasing at a rate of 90 feet per second.
How does Terry's elevation change over time while skiing?The given function e(t) = 3000 - 90t describes Terry's elevation, in feet, as a function of time, in seconds.
The function has a slope of -90, which represents the rate of change of elevation with respect to time. This means that Terry's elevation is decreasing at a constant rate of 90 feet per second.
The initial elevation, or starting point, is given by the y-intercept of the function, which is 3000 feet. This means that Terry began skiing from an elevation of 3000 feet.
As time passes, Terry's elevation decreases linearly, with a constant rate of 90 feet per second. This linear relationship between time and elevation can be used to predict Terry's elevation at any given time during the descent.
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Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 anda 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve anequation which can be used to determine x, how much each bottle of juice costs?
Cost of a bag of chips is $ 2.49.
The number of juice bottles is 12
The total cost is $ 27.57.
Let x be the cost of a juice bottle. Therefore we have,
\(2.49+12x=27.57\)On solving, x can be calculated as,
\(\begin{gathered} 12x=27.57-2.49 \\ 12x=25.08 \\ x=\frac{25.08}{12}=2.09 \end{gathered}\)Thus, the cost of each juice bottle is $2.09.
the probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random. complete parts (a) through (d).
The probabilities of different events related to the type B' blood in four randomly selected people from the United States are 0.000207, 0.0600, 0.400. The events in parts (a) and (b) are considered unusual.
The probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random of different scenarios are calculated.
The probability that all four have type B' blood is 0.000207, The probability that none of the four have type B' blood is 0.0600, The probability that at least one of the four has type B' blood is 0.400, The events in parts (a) and (b) can be considered unusual because their probabilities are less than or equal to 0.05.
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_____The given question is incomplete, the complete question is given below:
The probability that a person in the United States has type B' blood is 12 % Four unrelated people in the United States are selected at random Complete parts (a) through (d) The probability that all four have type B' blood is 000207 (Round to six decimal places as needed) (b) Find the probability that none of the four have type B' blood The probability that none of the four have type B' blood is 0600 (Round to three decimal places as needed) (c) Find the probability that at least one of the four has type B' blood The probability that at least one of the four has type B' blood is 400 (Round to three decimal places as needed) (d) Which of the events can be considered unusual? Explain Select all that apply OA The event in part (a) is unusual because its probability is less than or equal to 0.05 OB. The event in part (c) is unusual because its probability is less than or equal to 0.05 O C. None of these events are r uual O D. The event in part (b) is unusual because its probability is less than or equal to 0.05 Click to select your answer and then click Check Answer
recall that in -fold cross-validation, one th of the data is reserved for testing. while in leave-one-out cross-validation, only a single data point is reserved for testing.let us define the bias of the cross-validation procedure as the mean of the difference between the actual performance of the model, and the performance estimated using the cross-validation procedure. which method will generally produce an estimate with higher bias?leave-one-out-fold
K-fold cross-validation generally produces an estimate with lower bias compared to leave-one-out cross-validation.(option b).
Cross-validation is a popular technique used in machine learning to estimate the performance of a model on unseen data. There are different methods of cross-validation, including leave-one-out and K-fold. In leave-one-out, only one data point is left out for testing, while in K-fold, a Kth portion of the data is held out.
Now, to answer the question of which method generally produces an estimate with higher bias, we need to look at the formula for bias in cross-validation. The bias is given by the difference between the expected value of the cross-validation estimate and the true performance of the model.
For K-fold cross-validation, the expected value of the estimate is computed as the average of the estimates obtained in each of the K folds. This means that the bias is dependent on the number of folds used. The more folds used, the lower the bias is likely to be.
Hence the correct option is (b).
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To complete one set of bookshelves a carpenter needs the following components:
4 long wooden panels,
6 short wooden panels,
12 small clips,
2 large clips and
14 screw.
The carpenter has in stock 26 long wooden panels, 33 short wooden panels, 200 small clips, 20 large clips and 510 screws.
How many sets of bookshelves can the carpenter make?
Answer:
5 sets of bookshelves
Step-by-step explanation:
To solve this question, go through each component and see whether the carpenter has enough.
5 x 4 = 20
5 x 6 = 30
5 × 12 = 60
5 x 2 = 10
5 x 14 = 70
So the maximum he can make is 5 sets
hope this helps :)
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
Solutions below.
Step-by-step explanation:
This Question involves the concept of Function Substitution.
Function SubstitutionFunction Substitution - As the name suggests, it is about substituting an input value (normally x) to find the value of y , or f(x) which is the range of the value.
Example: f(x) = 98x , f(2) = 98(2) = 196
ApplicationWe are given the following function:
\(p(t) = - 16 {t}^{2} + 1638\)
a) This part is asking us to find the height of the object when t = 2, which is the same as finding the value of P(2).
P(2) =
\( - 16 {(2)}^{2} + 1638 \\ = - 64 + 1638 \\ = 1574\)
Therefore at t = 2 seconds, the object is 1,574m above the river.
b) This part is asking us to find the height of the object when t = 6, which is the same as finding the value of P(6).
P(6) =
\( - 16 {(6)}^{2} + 1638 \\ = - 16(36) + 1638 \\ = - 576 + 1638 \\ = 1062\)
Therefore at t = 6 seconds, the object is 1,062m above the river.
p2 = - 4p + 60 how would you solve this?
Answer:
Step-by-step explanation:
Move terms to the left side, use the sum product pattern, factor
Answer: p=6 or p=−10
Step-by-step explanation: Hope this help :D
How do you solve for x with segment bisectors?
isiah determined that 5a2 is the gcf of the polynomial a3 – 25a2b5 – 35b4. is he correct? explain.
No, Isaiah is incorrect. The greatest common factor (GCF) of the polynomial a^3 - 25a^2b^5 - 35b^4 is not 5a^2.
To determine the GCF of a polynomial, we need to find the highest power of each variable that is common to all terms. In this case, the polynomial consists of three terms: a^3, -25a^2b^5, and -35b^4.
To find the GCF, we identify the highest power of each variable that appears in all terms. In this polynomial, the highest power of 'a' is a^3, and the highest power of 'b' is b^5. However, the coefficient -25 in the second term does not contain a common factor of 5 with the other terms. Therefore, 5a^2 is not the GCF of the polynomial.
To determine the GCF, we need to find the common factors among all terms. In this case, both 'a' and 'b' are common factors among all terms. The highest power of 'a' that appears in all terms is a^2, and the highest power of 'b' that appears in all terms is b^4. Thus, the GCF of the polynomial a^3 - 25a^2b^5 - 35b^4 is a^2b^4.
In summary, Isaiah is incorrect in identifying the GCF as 5a^2. The correct GCF of the polynomial a^3 - 25a^2b^5 - 35b^4 is a^2b^4.
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2 root 5 times by 5 root 5
Answer:
100000
Step-by-step explanation:
I believe you mean Exponent, not roots.
2^5 x 5^5.
1) Evaluate your Exponent
(2x2x2x2x2) x (5x5x5x5x5)
2) Multiply
32 x 3125
3) Solution
100000
for this lesson, you will come up with your own challenging algorithm for other students to trace. it must contain at least 4 if statements, 1 else statement and use at least one and or or boolean condition. note: elif statements will not count - your statements must be if statements. each if statement should use a unique variable name. for this challenge, try reading 3 or 4 of your classmates' code as well. trace their code and predict what it will output, then check the code by running it to see if you got it right, and submit your work for a grade.
By using Python, you will come up with your own challenging algorithm for other students to trace.
What are If else Statements ?If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.
The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.
These conditional statements are available in Python:
If you want a block of code to run only if a certain condition is true, use the if statement.
If the same expression is false, use instead that to provide a set of instructions that should be run.
If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.
To choose which of the several program code should be performed, use the switch.
How to write the code?
num = 100
if num < 20:
print('Less than 20')
if num < 30:
print('Less than 30')
if num < 40:
print('Less than 40')
if num < 50:
print('Less than 50')
if num > 100 or num == 100:
print('More than or equal to 100')
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D- (50 pts) Consider the following sample. Volumes 1660 1820 1590 1440 1730 1680 1750 1720 1900 1570 1700 1900 1800 1770 2010 1580 1620 1690 Assuming the population (sigma) is known: Run the descripti
Here is what the output looks like:Mean: 1702.5,Standard Deviation: 173.321Standard Error: 41.172Confidence Interval: +/- 77.842
In order to run the descriptive statistics on the given sample, we will use Microsoft Excel. Here are the steps:
Step 1: Open a new Excel spreadsheet and enter the given sample in one column.
Step 2: In a blank cell, enter the following formula: =AVERAGE(A1:A18)This will give the mean of the sample.
Step 3: In another blank cell, enter the following formula: =STDEV(A1:A18)This will give the standard deviation of the sample.
Step 4: In yet another blank cell, enter the following formula: =STERR(A1:A18)This will give the standard error of the sample.
Step 5: In the final blank cell, enter the following formula: =CONFIDENCE.T(0.05,17,STDEV(A1:A18))This will give the 95% confidence interval for the mean of the population given that the population standard deviation is known.
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There is a line that includes the point (6,–10) and has a slope of –9. What is its equation in point-slope form?
Answer:
A slope of zero means a horizontal line (parallel to the x axis). So the line is y=-6, which is the y intercept. There is no x term because y=-6 for all x.
Step-by-step explanation:
Answer: y + 10 = -9(x - 6)
Step-by-step explanation:
Use this formula to solve for point-slope form: y - y1 = m(x - x1)
m would be the slope and the given slope is -9
y1 refers to the given y coordinate and x1 refers to the given x coordinate.
y + 10 = -9(x - 6)
a landscaper is designing a flower garden in the shape of a trapezoid. she wants the shorter base to
The each base's length be 18 yards and 22 yards when a flower garden with a trapezoid shape is being planned by a landscaper.
Given that,
A flower garden with a trapezoid shape is being planned by a landscaper. She requests that the longer base be 7 yards longer than the height and that the shorter base be 3 yards longer. The flower garden is 150 square yards in size overall.
We have to find what will each base's length be.
We know that,
To be 3 yards longer than the height, the shorter base
b₁=h+3
To be 7 yards longer than the height, the longer base
b₂=h+7
Area of trapezoid=1/2(b₁+b₂)h
150=1/2(h+3+h+7)h
150=(2h+10)h/2
150=2h²+10h/2
150=2h²+5h
h²+5h-150=0
h²+15h-10h-150=0
h(h+15)-10(h+15)=0
(h-10)(h+15)=0
h=10 or h-15
h value should be positive.
So b₁=h+3=15+3=18
b₂=h+7=15+7=22
Therefore, The each base's length be 18 yards and 22 yards when a flower garden with a trapezoid shape is being planned by a landscaper.
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which similarity statement expresses the relationship between the two triangles?
Answer: the similarity statement that expresses the relationship between the 2 triangles is the 3rd one.
Step-by-step explanation:
MODELING REAL LIFE A cell phone company charges a
monthly fee plus $0.25 for each text message you send.
The monthly fee is $30.00. You owe $59.50. How many
text messages did you send? Justify your answer.
Show work
Answer:
dwmkwddddncdnnknnsdlnldkldskcnds
Step-by-step explanation:
klkkl
a triangle's base and height are changing. (a) if the base is growing at a rate of 1 cm per second and the height is growing at a rate of 2 cm per second at what rate is the area changing the moment that the base is 4 cm and the height is 7 cm?
The rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.
What is the rate of change?The rate at which a variable alters over a predetermined amount of time. It is frequently used when discussing momentum and is typically expressed as a ratio of one variable's change to another's corresponding change. This ratio is graphically represented by a line's slope.We know that,
The Base is growing at the rate of 1 cm per sec.
Height is growing at the rate of 2 cm per sec.
Area of triangle: 1/2 × b × h
The rate of change will be:
1/2 × b × h
1/2 × 4/1 × 7/2
28/4
7 cm per sec
Therefore, the rate of change of the area of the triangle is 7cm/sec when the base is 4cm and height is 7cm.
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population has decreased by 30% in the past A city has a population of 350,000. The ten years. What was the population of the city ten years ago?
Answer:
the population used to be 455,000
Step-by-step explanation:
Use the graph to determine the input values that correspond with f(x) = 1.
Answer:
it would be 0,1
Step-by-step explanation:
The pic is here , just the question wouldn’t show up right. Any help ?
Answer:
its 4√2i i think
Step-by-step explanation:
Answer:
Answer:B
Step-by-step explanation:
Which dot plot matches the tally chart below?
A 2-column table with 5 rows. Column 1 is labeled Pull-ups Completed in one minute with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.
Answer:
(A) my friend
Step-by-step explanation:
please mark Brainliest because the other answer above me is wrong
Answer:
A
Step-by-step explanation:
An automatic machine in a manufacturing process is operating groperly if the iengths of an important subcomponent are normally distributed with a mean of izal cri and a otandard deviation of 5.6 cm. A. Find the probability that one selected subcomponent is longer than 122 cm, Probability = B3. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 122 cm. Probability win C. Find the probabilify that if 3 are randomly selected, ail 3 have lengths that exceed 122 cm. Probability =
A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.
z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)
Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.
B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.
The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.
Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm
Now we can calculate the z-score for a mean length of 122 cm:
z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)
Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.
C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.
Probability = (0.9999)^3 ≈ 0.9997
Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.
Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.
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