Answer:
the shortest side = 22 cm
the medium side = 54 cm
the longest side = 66 cm
Step-by-step explanation:
Let the shortest side = x
As the longest side is three times longer than the shortest side,
the longest side = 3x
As the medium side is ten more than twice the shortest side,
the medium side = 2x+10
the perimeter = 142
x+3x+2x+10 = 142
6x+10 = 142
6x = 142-10
6x = 132
x = 22
the shortest side = 22 cm
the longest side = 3*22 = 66 cm
the medium side = (2*22)+10 = 44+10 = 54 cm
we have created - 2,000 training images, - 1,000 validation images, - and 2,000 test images - with the same numbers of cats and dogs in each. what is overfitting? - provide an example in terms of the cats vs. dogs dataset.
A machine learning model overfits when it becomes overly complicated and begins to memorize the training data rather than learning broad patterns that can be applied to fresh data. In other words, the model performs worse on the validation or test set because it cannot generalize to new data due to how well it fits the training data.
Assume, for instance, that we train a convolutional neural network (CNN) on the 2,000 training images in the cats vs. dogs dataset and obtain high accuracy on the training set. However, the accuracy drastically declines when we test the model on the 2,000 test photographs. This is a symptom of overfitting and indicates that the model cannot generalize to new data since it has learned the specific features of the training set too well. We can employ strategies like regularisation, dropout, and early halting, as well as increasing the volume of training data, to avoid overfitting.
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A circular mil is a circle with a circumference of one mil.a. Trueb. False
True. A circular mil is a unit of measurement used in electrical engineering and is defined as the area of a circle with a diameter of one mil (0.001 inch) which is equivalent to a circumference of one mil.
The statement "A circular mil is a circle with a circumference of one mil" is true. A circular mil is a unit of area used to measure wire and cable cross-sectional sizes, and it is defined as the area of a circle with a diameter of one mil (1/1000 of an inch).
Thus, A circular mil is a unit of measurement used in electrical engineering and is defined as the area of a circle with a diameter of one mil (0.001 inch) which is equivalent to a circumference of one mil.
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there are 13 apples in a basket. 6 of these apples are green the rest of them are red. What is the ratio of all apples in the basket to red apples and what is the ratio of green apples to red apples
Answer:
The ratio of green apples to red apples is 6:7.
Step-by-step explanation:
The ratio of all apples in the basket to red apples is 13:7 (since there are 13 total apples and 6 of them are green, leaving 13-6=7 red apples).
Spencer spent 10 minutes on the phone while routing 5 phone calls. If he routes 28 phone calls, how much time will Spencer have spent on the phone in total? Solve using unit rates.
Spencer will have spent 56 minutes on the phone in total while routing 28 phone calls.
If Spencer spent 10 minutes while routing 5 phone calls, the unit rate of time spent on the phone per phone call is;
10 minutes ÷ 5 phone calls = 2 minutes/phone call
Therefore, the unit rate tells us that Spencer spent an average of 2 minutes on the phone for each of the 5 phone calls he routed.
To find how much time Spencer will spend on the phone in total while routing 28 phone calls, we can use the unit rate as a conversion factor;
Total time on the phone = (Number of phone calls) x (Time per phone call)
Total time on the phone = 28 phone calls x (2 minutes/phone call)
Total time on the phone = 56 minutes
Therefore, Spencer will have spent 56 minutes on the phone.
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12 in.
13 in.
Find the volume of the figure above.
The volume of the given figure is 29070 cubic centimeter.
The dimensions of the given 3D figure is Length of cuboid=45 cm, breadth of cuboid=17 cm and the height of cuboid = 20 cm.
Height of rectangular prism is 18 cm.
Volume of cuboid = Length×Breadth×Height
= 45 × 17 × 20
= 15300 cubic centimeter
Now, volume of rectangular prism = Area of Base ×Height
= 45×17×18
= 13770 cubic centimeter
Total volume = 15300 + 13770
= 29070 cubic centimeter
Therefore, the volume of the given figure is 29070 cubic centimeter.
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A student is trying to solve the system of two equations given below:
Equation P: x + y = 8
Equation Q: 2x + 5y = 24
Which of the following steps can be used to eliminate the x term?
a
2(x + y = 8)
b
−2(x + y = 8)
c
−1(2x + 5y = 24)
d
−2(2x + 5y = 24)
Answer: B
Step-by-step explanation:
When you distribute the number to the equation you want to be able to eliminate a variable when you add.
a. not right you get 2x for your first term if you added it to the next equation you get 4x which does not eliminate x
b. is right, you get -2x +2x = 0 this is what you want
c. not right, you get -2x but added to the first -2x+x [tex]\neq[/tex] 0
d. not right -4x +x [tex]\neq[/tex] 0
PLEASE HELP ME I DONT KNOW HOW TO SOLVE THIS
Find each difference.
4-5
19-(-6)
-5-4
-10-12
-8-(-7)
-12-10
Answer:
Step-by-step explanation:
4 - 5= -1 same as 4 + -5
19 - (-6) = 25 subtracting a negative is the same as adding a positive becuase of the two negative signs.
-5 - 4 = -5 + -4 = -9
-10 - 12 = -10 + -12 = -22
-8 -(-7) - again two negatives make a positive ity becomes
-8 + 7 = -1
-12 - 10 - same as adding a negative becomes -12 + -10 = -22
the mass is divided by 3 and the volume is multiplied by 5
Answer:
3/5
Step-by-step explanation:
cause it is
1. What was the cost for 100 shares at the 52-Week Low?
A. $5228
B. $6433
C. $6523
D. $6720
2. What was the amount received if you sold your 100 shares at the High on August 16?
A. $5228
B. $6433
C. $6523
D. $6720
3. What was your net gain or net loss after the sale of your 100 shares?
A. $1295 Net Loss
B. $1295 Net Gain
C. $1492 Net Loss
D. $1492 Net Gain
4. If you sold stock for $3200 and your broker earns 2% of that as his fee, what amount did the broker receive?
A. $64
B. $76
C. $82
D. $105
1. The cost for 100 shares at the 52-Week Low is $52.28 (option a).
2. The amount received if you sold your 100 shares at the High on August 16 is $67.20 (option d).
3. Your net gain or net loss after the sale of your 100 shares was $1492 Net Gain. (option d)
4. If you sold stock for $3200 and your broker earns 2% of that as his fee, Then the amount did the broker receive was $64. (option a).
To calculate the cost of 100 shares at the 52-Week Low, we need to multiply the low price per share by the number of shares. Therefore, the cost for 100 shares at the 52-Week Low can be calculated as follows:
Cost = 100 x 52-Week Low price per share
Out of the options given, the correct answer is A. $5228, assuming that the 52-Week Low price per share is $52.28.
To calculate the amount received from selling 100 shares at the High on August 16, we need to multiply the high price per share by the number of shares. Therefore, the amount received can be calculated as follows:
Amount Received = 100 x High price per share
Out of the options given, the correct answer is D. $6720, assuming that the high price per share on August 16 was $67.20.
To calculate the net gain or loss after the sale of 100 shares, we need to subtract the cost of buying the shares from the amount received from selling them. Therefore, the net gain/loss can be calculated as follows:
Net Gain/Loss = Amount Received - Cost
Using the numbers from the previous questions, we can calculate the net gain/loss as follows:
Net Gain/Loss = $6720 - $5228
Net Gain/Loss = $1492
Therefore, the correct answer is D. $1492 Net Gain.
To calculate the amount received by the broker as a fee for selling stock for $3200, we need to multiply the selling price by the broker's commission rate, which is given as 2%. Therefore, the broker's fee can be calculated as follows:
Broker's Fee = Selling Price x Commission Rate
Using the numbers from the question, we can calculate the broker's fee as follows:
Broker's Fee = $3200 x 0.02
Broker's Fee = $64
Therefore, the correct answer is A. $64.
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What is the focus of the parabola y=5x2+5?
The focus of the parabola y=5x²+5 would be (0 , 5.05)
Since All points in a plane that are equally spaced out from a given point and a given line make up a parabola. The line is the directrix, and the point is the parabola's focus.
The stanard form of the parabola is y = 1/4p ( x - h)²+ k
Where, (h,k) is the vertex of parabola
(h , k + p) is the focus of the parabola
Given equation to the standard form;
y=5x²+5
y = 5 (x - 0)² + 5
Therefore, we have h = 0
1/4p = 5
p = 1/20
k = 5
Now, the focus = (h , k + p)
= (0 , 5 + 1/20)
(0 , 5.05)
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For each positive integer n, let P(n) be the following inequality. 2" <(n + 1)! (a) What is P(2)? O4 <2 O4 <4 4 < 6 O 2 = (n + 2)! 4 < (n + 2)! Is P(2) true? Yes No (b) What is P(k)? Ok? 2, what must be shown in the inductive step? We need to show that if k is any integer with k 2 2 and if P(k) is true, then PÅ¿k + 1) is also true. We need to show that if k is any integer with k 2 2 and if P(k) is true, then PÅ¿k + 1) is false. We need to show that if k is any integer with k > 2 and if P(k) is false, then PÅ¿k + 1) is true. We need to show that if k is any integer with k 2 2 and if P(k) is false, then P(k + 1) is also false.
To evaluate P(2), we plug in n=2 into the inequality 2^n < (n+1)!. This gives us 2^2 < (2+1)! which simplifies to 4 < 6. Therefore, P(2) is true.
To show the inductive step for k≥2, we assume that P(k) is true, i.e. 2^k < (k+1)!. We need to show that P(k+1) is also true, i.e. 2^(k+1) < (k+2)!.
Starting with P(k), we can multiply both sides by 2 to get 2^(k+1) < 2(k+1)!. Now we just need to show that 2(k+1)! < (k+2)!, which simplifies to 2 < (k+2)/(k+1). This is true for all k≥1, so P(k+1) is also true.
Therefore, we have shown that if P(k) is true for some integer k≥2, then P(k+1) is also true. This completes the inductive step.
(a) P(2) is given by the inequality 2^(n+1) < (n+1)!. When n = 2, the inequality becomes 2^(2+1) < (2+1)!, which simplifies to 2^3 < 3!, or 8 < 6. This is not true, so P(2) is false.
(b) P(k) is the inequality 2^(k+1) < (k+1)!. In the inductive step, we need to show that if k is any integer with k ≥ 2 and if P(k) is true, then P(k+1) is also true. This means that if 2^(k+1) < (k+1)!, we need to show that 2^(k+2) < (k+2)!.
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Find the value of both variables and find all angle measures.
The value of both variables is equal to 23.
The angle measures are 45 degrees and 135 degrees respectively.
What is a supplementary angle?In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are supplementary angles:
(2x - 1)° + (4x + 43)° = 180°
By rearranging and collecting like-terms, the value of y is given by:
6x + 42 = 180
6x = 180 - 42
x = 138/6 = 23
(2x - 1)° = 2(23) - 1 = 45°
(4x + 43)° = 4(23) + 43 = 135
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how many constant terms are in x³±6x±8
The number of constant terms in the expression x³ ± 6x ± 8 is 1.
Given expression is,
x³ ± 6x ± 8
Constant terms are terms which consists of only the numerical values and not includes any variables.
Here the variable is x.
The terms x³ and 6x includes variables.
So the only term which is a constant is 8.
So there is only 1 constant term.
Hence the number of terms in the expression which are constants is only 1, which is 8.
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Question
In a game, 4 players scored 7 points, 3 players scored 8 points, 5 players scored 9 points, and 1 player
scored 10 points. What was the median of the 13 players' scores?
0 7.5
08
O 8.5
09
The median of the scores of the 13 players would be = 8. That is option B.
How to calculate the median scores of the given players?The total number of players that score 7 = 4
The total number of players that score 8 = 3
The total number of players that score 9 = 5
The total number of players that score 10 = 1
The scores = 7,7,7,7,,8,8, 8 ,9,9,9,9,9,10
The median score is 8.
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A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
OA. The number of multiple-choice questions plus the number of
short-answer questions is 60.
B. The number of multiple-choice questions minus the number of
short-answer questions is 60.
C. The number of multiple-choice questions times the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 15.
Answer:
D. The number of multiple-choice questions plus the number of
short-answer questions is 15.
A teacher leaves $7500 in a bank account for two years. The account pays compound interest of 2. 5% per year. Calculate the total amount the teacher has in the account at the end of the two years
The total amount the teacher has in the account at the end of two years is $7,935.94.
To calculate the total amount the teacher has in the account at the end of two years, we can use the formula for compound interest
A = P(1 + r/n)^(nt)
Where
A = the total amount the teacher has in the account at the end of two years
P = the principal amount (the initial amount the teacher deposited), which is $7500 in this case
r = the annual interest rate, which is 2.5% expressed as a decimal, or 0.025
n = the number of times the interest is compounded per year, which is once per year in this case
t = the time in years, which is 2 years in this case
Substituting the values, we get
A = $7500(1 + 0.025/1)²
A = $7500(1.025)²
A = $7,935.94
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In a recent poll 45 of survey respondents said that if they only had one child they would prefer the child to be a boy. Suppose you conducted a survey of 130 randomly selected students on your campus and find that 74 of them prefer a bot
There is a 97.91% chance that at least 74 students out of 130 randomly selected students would prefer a boy.
To find the probability that at least 74 students would prefer a boy out of 130 randomly selected students, we need to use the binomial probability formula:
P(X >= k) = 1 - P(X < k)
Where:
P(X >= k) is the probability that the number of students who prefer a boy is greater than or equal to k
P(X < k) is the probability that the number of students who prefer a boy is less than k
In this case, k = 74, n = 130, and the probability of success (i.e., preferring a boy) is p = 0.45 (based on the results of the poll).
To calculate P(X < 74), we can use a binomial distribution calculator or a statistical software program. The result is 0.0209.
Therefore, the probability that at least 74 students would prefer a boy is:
P(X >= 74) = 1 - P(X < 74)
P(X >= 74) = 1 - 0.0209
P(X >= 74) = 0.9791
In terms of percentage = 0.9791 x 100 = 97.91%
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WILL GIVE BRAINLIEST
Triangle XYZ ~ triangle JKL. Use the image to answer the question.
a triangle XYZ with side XY labeled 8.7, side XZ labeled 8.2, and side YZ labeled 7.8 and a second triangle JKL with side JK labeled 10.44
Determine the measurement of KL.
KL = 8.58
KL = 9.36
KL = 10.13
KL = 9.84
AND EXPLAIN WHY
Answer:
B) KL = 9.36
Step-by-step explanation:
It looks like the triangle JKL is scaled to a factor of 1.2 because with the first angle XY at 8.7 and the first angle JK at 10.44, this is 10.44/8.7 = 1.2.
Therefore, multiply the rest of the angles by the scale factor to get:
JL: 8.2 * 1.2 = 9.84
KL: 7.8 * 1.2 = 9.36
If this helped, please make this answer BRAINLIEST!! ;)
for a best of 3 set tennis match, would you bet on it finishing in two sets or three sets given that probabilty of winning a set is constant?
The probability of the match finishing in two sets is higher than the probability of the match finishing in three sets, so if you were to bet on the outcome, you would bet on it finishing in two sets.
P(win in 2 sets) = P(win 1st set) * P(win 2nd set)
P(win in 2 sets) = 0.5 * 0.5
P(win in 2 sets) = 0.25 or 25%
The probability of winning three sets in a best-of-three tennis match is:
P(win in 3 sets) = P(win 1st set) * P(lose 2nd set) * P(win 3rd set)
P(win in 3 sets) = 0.5 * 0.5 * 0.5
P(win in 3 sets) = 0.125 or 12.5%
As a result, the liability of the match ending in two sets is lesser than the probability of the match ending in three sets, therefore if you were to go on the outgrowth, you would go on the match ending in two sets. It's pivotal to note, still, that this presupposes a constant chance of winning a set, which may not be the case in practise.
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Please help!! I dont know how to do this
Answer: Option B and Option C
I hope this helps :)
Step-by-step explanation:
Option B and Option C are functions because all the first terms in their ordered pairs are different.
In 1985 a pair of Jordans sold for $64.99. Today the average is about $150.00. The rate of inflation is % (round answer to nearest whole number)
Answer:
Step-by-step explanation:
To calculate the rate of inflation, we can use the inflation rate formula:
inflation rate = ((new price - old price) / old price) x 100%
Using the given information, we have:
old price = $64.99
new price = $150.00
inflation rate = ((150.00 - 64.99) / 64.99) x 100%
inflation rate = (85.01 / 64.99) x 100%
inflation rate = 130.81%
Rounding the inflation rate to the nearest whole number, we get:
inflation rate ≈ 131%
Therefore, the rate of inflation from 1985 to today for a pair of Jordans is approximately 131%.
How many hours does the grade 7 students spend time in studying?(summarizing question)
The number of hours that the grade 7 student spends studying can be found to be 2 hours.
How to find the number of hours ?We are told that the grade 7 student gets 4 hours of free time after school and from that time, they spend 1 / 2 of it studying.
This means that the number of hours spent by the grade 7 student in studying can be found by the formula:
= Free time x proportion of time spent studying
= 4 hours x 1 / 2
= 4 / 2
= 2 hours
In conclusion, the grade seven student spent 2 hours studying.
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The full question is:
A typical grade 7 student is reported to have about 4 hours of free time after school on weekdays. They spend 1 / 2 of this time studying.
How many hours does the grade 7 students spend in studying?
what is the area of the triangle in the composite figure above?
A. 5 in
B. 10 in
C. 20 in
D. 65 in
Answer:
The correct answer is C. 20 in. To calculate the area of the triangle, we can use the formula A = 1/2 bh. The base of the triangle is 10 in and the height is 8 in, so the area is 1/2 x 10 x 8 = 40 in^2. Since the triangle is a right triangle, the area is half of 40 in^2, which is 20 in^2
2. If you have a probability between 0 and what words could you used to describe the numerical value?
Somewhat likely
Impossible
Certain
Less likely
If you have a probability between 0 and 0.5, the word you could used to describe the numerical value is Less likely
Describing the probabilityFrom the question, we have the following parameters that can be used in our computation:
Probability value = between 0 and 0.5
As a general rule
Probability values between 0 and 0.5 are unlikely or less likely
This is because of the following grading system of probability values
0 to Less than 0.5 ⇒ Less likely0.5 ⇒ Equally likely and UnlikelyGreater than 0.5 to 1 ⇒ LikelyUsing the above as a guide, we have the following:
The word to use is (d) less likely
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the mean monthly car payment for 97 residents of the local apartment complex is $631 . what is the best point estimate for the mean monthly car payment for all residents of the local apartment complex?
The best point estimate for the mean monthly car payment for all residents of the local apartment complex is 631
The best point estimate for the mean monthly car payment for all residents of the local apartment complex is simply the sample mean, which is $631. This is because the sample mean is an unbiased estimator of the population mean, meaning that on average, it will give us an accurate estimate of the true population mean.
To explain this in mathematical terms, let's use X to represent the monthly car payment for an individual resident of the apartment complex. We have a sample of n=97 residents, and we can calculate the sample mean as follows:
[tex]$\bar{X} = \frac{1}{n} \sum_{i=1}^{n} X_i$[/tex]
In this case, we know that [tex]\bar{X} = $631,[/tex] so this is our point estimate for the population mean:
[tex]$\mu \approx \bar{X} = 631$[/tex]
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3/2 + (-6/5) reduce to simplest form
rob spent the day at the mall. First, he brought five rabbits for $10 each. Later, he returned two rabbits . After that, he found two twenty dollars bills.Also,he brought two desks two desks for $30 each. write the total change to Rob's funds as an integer
The requried total change to Rob's funds as an integer is -$50, indicating that he spent more than he received and his funds decreased by $50.
Let's break down the different transactions and calculate the total change to Rob's funds:
Bought 5 rabbits for $10 each: 5 x $10 = $50 spent
Returned 2 rabbits: 2 x $10 = $20 received
Found 2 twenty dollars bills: 2 x $20 = $40 received
Bought 2 desks for $30 each: 2 x $30 = $60 spent
To calculate the total change to Rob's funds, we can add up the amounts received and subtract the amounts spent:
$20 + $40 - $50 - $60 = $-50
Therefore, the total change to Rob's funds as an integer is -$50, indicating that he spent more than he received and his funds decreased by $50.
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A group of friends were working on a student film that had a budget of $700. They used $658 of their budget on costumes. What percentage of their total budget did they spend on costumes?
The required group of friends spent 94% of their total budget on costumes.
To evaluate the percentage of the total budget that was spent on costumes, we can use the formula:
Percentage = (amount spent / total budget) x 100%
In this case, the amount spent on costumes was $658, and the total budget was $700. Substituting these values into the formula, we get:
percentage = (658 / 700) x 100%
Simplifying the fraction, we get:
percentage = 0.94 x 100%
Converting the decimal to a percentage, we get:
percentage = 94%
Thus, the group of friends spent 94% of their total budget on costumes.
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Find the value of x and y
The value of x and y can be found using the Pythagorean Theorem and the law of sines;
x = 3·√(17)
y ≈ 7.37
What is the Pythagorean Theorem?The Pythagorean Theorem states that the square of the length of the longest side of a right triangle (the hypotenuse side) is equivalent to the sum of the squares of the other two sides of the right triangle
The value of y can be obtained from the law of sines as follows;
5/(sin(36°)) = y/(sin(60))
y = (sin(60)) × 5/(sin(36°))
(sin(36°)) = √((10 - 2·√5))/4
(sin(60)) = √(3)/2
y = (sin(60)) × 5/(sin(36°)) = √(3)/2 × 5 × 4/√((10 - 2·√5)) = 10·√(3)/√((10 - 2·√5)) ≈ 7.37
The value of x can be found using the Pythagorean Theorem as follows;
x² = 12² + 3² = 144 + 9 = 153
x = √153 = 3·√(17)
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Find the length of the lettered sides of a right angle triangle if the angle of the interior is 60 90 and 30 degrees. And the height is 8cm and the hypothenus is given as A and the base is given as B
If the interior angle's of the right-triangle are 60°, 90° and 30°, then length of side"A" is 9.24cm and side"B" is 8 cm.
In a "right-triangle", the "Sine" of an angle is defined as the length of the opposite side divided by the length of the hypotenuse,
The "Cosine" of an angle is defined as the length of the adjacent side divided by the length of the hypotenuse.
The hypotenuse (opposite the right angle) is "A".
The base (adjacent to the 60° angle) is "B".
The height (opposite the 60° angle) is given as 8 cm.
Using the 60° angle and height, we can find the length of the base :
⇒ Sin(60°) = (opposite-side)/(hypotenuse),
⇒ Sin(60°) = 8/A,
⇒ A = 8/Sin(60°),
⇒ A ≈ 9.24 cm
Using the 30° angle and base, we can find the length of the height as:
⇒ Cos(30°) = (adjacent-side)/(hypotenuse),
⇒ Cos(30°) = B/A,
⇒ B = A × Cos(30°),
⇒ B = 9.24 × Cos(30°),
⇒ B ≈ 8.00 cm
Therefore, the length of side "A" is 9.24 cm and side "B" is 8.00 cm.
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The given question is incomplete, the complete question is
Find the length of the lettered sides "A" and "B" of a right angle triangle if the angle of the interior is 60°, 90° and 30°. And the height is 8cm and the hypotenuse is given as "A" and the base is given as "B".
