Answer:
1/3
Step-by-step explanation:
I guess it's asking for probability of prime number
so we have 3 card and only one of them is prime (5)
so the answer is 1/3
Answer:
i would say 1/5 because it is between 2 and 12
Step-by-step explanation:
Pleaseee help me! 20 pts! Thank you so much!!
Find the equation of the line that passes through point (6,1) with the x-intercept of 2
y = - 1/4 x - 1/2
y = 1/4 x - 1/2
y = 1/4 x + 1/2
y = - 1/4 x + 1/2
Thank you for helping!!
Answer:
B
Step-by-step explanation:
If you plug in the ordered pair into all of the equations, option B is the only one that maintains the same value on both sides of the equal side.
What does the principle of complementarity of structure and function mean?.
Answer:
The principle of complementarity of structure and function states that function is dependent on structure, and that the form of a structure relates to its function.
Step-by-step explanation:
How would you change the graph of y = x²
to produce the graph of y = x2 – 5,
9514 1404 393
Answer:
shift it down 5 units
Step-by-step explanation:
Subtracting 5 from every y-value moves the graph down 5 units.
To make the new graph, translate every point down 5 units.
What is the correct answer for both?
Answer:
14) C (-2, 4)
15) D (-3, -3)
Step-by-step explanation:
-6x + 4y = 28
6x + 9y = 24
-6x + 4y = 28
4y = 28 + 6x
y = 7 + 1.5x
6x + 9y = 24
6x + 9(7 + 1.5x) = 24
6x + 63 + 13.5x = 24
19.5x + 63 = 24
19.5x = -39
x = -2
-6x + 4y = 28
-6(-2) + 4y = 28
12 + 4y = 28
4y = 16
y = 4
____________
4x - 4y = 0
-4x + 3y = 3
4x - 4y = 0
4x = 4y
x = y
-4x + 3y = 3
-4(y) + 3y = 3
-4y + 3y = 3
-1y = 3
y = -3
4x - 4y = 0
4x - 4(-3) = 0
4x + 12 = 0
4x = -12
x = -3
Find the average. Round your answer to the nearest whole number.
8, 12, 7, 5, 2
Answer:
7
Step-by-step explanation:
8 + 12 + 7 + 5 + 2= 34
34/5 =6.8
Rounded =7
Select the expression that can be used to find the volume of this rectangular prism.
A.
(
6
×
3
)
+
15
=
33
i
n
.
3
B.
(
3
×
15
)
+
6
=
51
i
n
.
3
C.
(
3
×
6
)
+
(
3
×
15
)
=
810
i
n
.
3
D.
(
3
×
6
)
×
15
=
270
i
n
.
3
The correct expression to find the volume of a rectangular prism is D. (3 × 6) × 15 = 270 in.3.
What is expression?Expression is a word, phrase, or gesture that conveys an idea, thought, or feeling. It is an outward representation of an emotion, attitude, or opinion. Expressions can be verbal, physical, or written. They can also take the form of art, music, or dance. Expression is used to communicate and express emotions, thoughts, and ideas. It can be a powerful tool to create a connection with others and build relationships.
The correct expression to find the volume of a rectangular prism is D. (3 × 6) × 15 = 270 in.3. This expression involves multiplying the length, width, and height of the rectangular prism in order to calculate the total volume. In this case, the length is 3, the width is 6, and the height is 15. If these values are multiplied together, the result is 270 in.3, which is the total volume of the rectangular prism.
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A rectangular garden has a length of 20 yards and a width of 42 yards. A diagonal path runs from one end of the garden to the other. How long is the diagonal path? a. B. C. 50 yd. D.
When the rectangular garden has a length of 20 yards and a width of 42 yards the diagonal path will be \(\sqrt{2164}\) .
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.
Since we have a right-angled triangle, we can use the Pythagorean Theorem to find our answer. The Pythagorean Theorem states the following:
\(a^{2} +b^{2} =c^{2}\)
In this formula a and b represent the legs of the triangle and c represents the length of the hypotenuse.
Let's substitute our data from the question.
\(42^{2} +20^{2} =c^{2}\)
Square.
1764 + 400 = \(c^{2}\)
And finally take the root of both sides. We only need to use the positive solution, since the length of the hypotenuse can't be negative.
\(c = \sqrt{2164}\)
When the rectangular garden has a length of 20 yards and a width of 42 yards the diagonal path will be \(\sqrt{2164}\) .
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Answer: 53
Step-by-step explanation:
The length and width of the garden represent the legs of a right triangle, and the diagonal path represents the hypotenuse.
The Pythagorean Theorem states that a squared plus b squared equals c squared, where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse.
Let p equal the length of the diagonal path in yards.
Applying the Pythagorean Theorem gives us p squared equals forty-five squared plus twenty-eight squared.
Now square forty-five and twenty-eight to get p squared equals two thousand twenty-five plus seven hundred eighty-four.
Next, find the sum of two thousand twenty-five and seven hundred eighty-four, which is two thousand eight hundred nine.
Finally, calculate the square root of two thousand eight hundred nine to find that p equals fifty-three.
So the length of the diagonal path is fifty-three yards.
dose it matter when finding if a slope is positive or negative if the line goes through the origin?
A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Answer: Probability = 90%
Step-by-step explanation:
In a drawer we have:
2 black shirts
7 white shirts
11 gray shirts
If we would randomly pick a shirt, what are the chances of it not being black?
To do that, we first need to calculate the probability of getting a black shirt.
To calculate that, we need to divide the number of black shirts by the total number of shirts.
Black shirts = 2
Total shirts = 2 + 7 + 11 = 20
That will be 2 black shirts divided by 20.
We get 0.1
If we multiply 0.1 by 100%, we get a 10% chance to get a black shirt.
Now, to know to chances of not getting a black shirt, we just need to subtract 10% from 100%.
And that will be 90% chances of not getting a black shirt.
Probability = 90%
Hope I Helped!
Is y=8 a linear equation?
Answer:
No, but y = 8x is. There has to be an x after your number for it to be called a linear equation.
How i can write that numbers in letters/ como los escriboo en letras
693,5699=
34,02289=
0,789=
5691,78=
What is the value of \( (260 \cdot 5321+42 \cdot 28) \bmod 13 ? \) 6 7 9 12
The value of \( (260 \cdot 5321+42 \cdot 28) \bmod 13 \) is 9.
In the first paragraph, the given expression is evaluated using the order of operations. The product of 260 and 5321 is added to the product of 42 and 28. The resulting sum is then divided by 13, and the remainder (modulus) is determined.
In the second paragraph, we can explain the step-by-step calculation. Firstly, we multiply 260 by 5321, which equals 1,384,260. Next, we multiply 42 by 28, which equals 1,176. Then, we add these two products together, resulting in 1,385,436. Finally, we calculate the modulus by dividing this sum by 13, which gives us a remainder of 9. Therefore, the value of the given expression modulo 13 is 9.
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Which of the following is NOT a technique used in variable selection? A. LASSO B. principal components analysis C. VIF regression D. stepwise regression
The technique that is NOT used in variable selection is principal components analysis. Thus, option (B) is the correct option.
Variable selection is the process of selecting the appropriate variables (predictors) to incorporate in the statistical model. It is an important step in the modeling process, especially in multiple linear regression.
The technique(s) used in variable selection may vary depending on the purpose of the analysis and the features of the data.
There are various methods and techniques for variable selection, such as stepwise regression, ridge regression, lasso, and VIF regression. However, principal components analysis is not a variable selection technique but rather a dimensionality reduction technique.
PCA is used to reduce the number of predictors (variables) by transforming them into a smaller set of linearly uncorrelated variables known as principal components.
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what is the square root of 100/121
A.5/6
B.10/13
C.10/11
D.2/3
In which step did helena make an error? in step 1, she substituted the x values for y and the y values for x. in step 2, she didn’t use an x and y from the same coordinate pair. in step 3, she solved for the wrong variable. helena did not make an error.
In step 2, she didn’t use an x and y from the same coordinate pair
We can easily understand by the attachment of the question:
From the figure,
We have to find the slope
We know that, The formula of slope is:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
The formula to calculate the slope between two points and substitute the values:
\(m=\frac{5-1}{3-5}\)
m = 4/-2
m = -2
The equation of the line in point slope form is:
\(y_2-y_1=m(x_2-x_1)\)
Take the point (3,5)
m = -2
y - 5 = -2(x - 3)
y - 5 = -2x + 6
y = -2x + 6 + 5
y = -2x + 11
Therefore, In step 2, she didn’t use an x and y from the same coordinate pair.
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The complete question is:
Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the steps of her work using the point-slope form to write the equation. equation In which step did Helena make an error? In step 1, she substituted the x values for y and the y values for x. In step 2, she didn’t use an x and y from the same coordinate pair. In step 3, she solved for the wrong variable. Helena did not make an error.
market researchers often report disposable income. this is your income after tax deductions. your gross income is $4,000 per month. your federal tax is 10%, state tax is 7%, city tax is 3%, and you pay 7% to social security. what is your monthly disposable income?
Answer:
The monthly disposable income will be $2,920.
Step-by-step explanation:
A 16-oz package of rice is $0.79. A 32-oz package is $3.49. Which has the lower unit cost?
Group of answer choices
You are doing chores to earn your allowance. For each chore you do, you earn $5. You are saving up to buy a $100 lego set. How many chores would it take you to earn $100?
Answer:
It would take 20 chores.
Step-by-step explanation:
1 chore = $5
=> 1 x 20 = $100
=> 20 chores = $100
Therefore, it would require me 20 chores to save $100 and buy that Lego set.
Hoped this helped.
Multiple Choice!!!!!!What congruence theorem can you use to show that the two skateboard ramps have the same height?
Answer:HL
Step-by-step explanation:
Select the expression that is equivalent to 48 + 12.
6(8 + 6)
12(4 + 1)
4(44 + 3)
8(6 + 4
Answer:
12(4+1)
Step-by-step explanation:
(12×4+12×1)
(48+12)
60
Look I am just going to give you the answer. You don't need to know how YOU got it!
The answer it 12(4+1)!!!!!!!!!!!!!!!!!
hope this is helpful!
10. The cost of painting the outer curved surface of a cylinder at 0.75 per cm² is 165. If the height of the cylinder is 1m, find the radius of its base.
Step-by-step explanation:
The price is 165 for all the volume of cylinder
So price divided by each cm^2 of the volume 165/0.75 = 220
220 =pi* r^2 * h = 3.14 *r^2 *100
Solving for r =0.83
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The Smith Family is buying a house for $350,000 with a down payment of $70,000 for a 15-year loan, $66 per month insurance, property tax is $230 per month and HOA is $600 per year. Calculate their total monthly payment
Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.
What is the Monthly Payment?To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.
1. Mortgage Payment:
The loan amount is the house price minus the down payment:
$350,000 - $70,000 = $280,000.
To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).
We can use a mortgage calculator formula to calculate the monthly payment:
M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]
Where:
M = Monthly mortgage payment
P = Loan amount
i = Monthly interest rate
n = Number of months
The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.
i = 4% / 12 = 0.00333 (monthly interest rate)
n = 180 (loan term in months)
Plugging in the values into the formula:
M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]
Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.
2. Insurance:
The monthly insurance payment is given as $66.
3. Property Tax:
The monthly property tax payment is given as $230.
4. HOA Fees:
The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.
Now, let's add up all these expenses:
Mortgage payment: $2,014.99
Insurance: $66
Property tax: $230
HOA fees: $50
Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees
Total monthly payment = $2,014.99 + $66 + $230 + $50
Total monthly payment = $2,360.99
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If two radio stations start conmercials at 10am, when will the stations have commercials at the same time? One station plays every 12 minutes the other every 8 minutes.
Answer: If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.
Step-by-step explanation:
Given: One station plays every 12 minutes the other every 8 minutes.
The minimum time at which both stations have commercials = lcm (12 and 8 )
12 = 2 x 2 x 3
8 = 2 x 2 x 2
LCM( 12 and 8)= 2 x 2 x 2 x 3 = 24
The minimum time at which both stations have commercials = 24 minutes
If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.
Both Derek and Sam are 5 feet 10 inches tall. Derek looks at a 10 foot basketball
goal with an angle of elevation of 29°, and Sam looks at the goal with an angle of
elevation of 43°. If Sam is directly in front of Derek, how many feet apart are the
boys standing? Round your answer to the nearest tenth.
Dereck and Sam are standing 3.1 feet apart.
The situation forms two right angle triangle.
What is a right angle triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
Derek looks at a 10 foot basketball goal with an angle of elevation of 29°.
Sam looks at the goal with an angle of elevation of 43°.
Sam is directly in front of Dereck. Therefore,
Dereck distance from the base of the basket ball can be found as follows:
tan 29 = opposite / adjacent
opposite side = 10 ft - 5.83 ft = 4.17 ft
tan 29 = 4.17 / x
x = 4.17 / 0.55430905145
x = 7.52287913948
x = 7.523
Sam distance from the base of the basket ball can be found as follows
tan 43 = 4.17 / y
y = 4.17 / 0.93251508613
y = 4.47177752084
y = 4.471
There feet apart = 7.523 - 4.471 = 3.052 = 3.1 feet
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Min-ji injured her elbow during varsity volleyball. Her doctor has recommended physical therapy several times a week, Her parents want to plan for the potential cost of therapy over the course of a month they pay $160 a month for insurance and then another $20 fee each time Min-ji goes to physical therapy. What equation models the total fees for physical therapy?
The equation that models the total fees for physical therapy is: y = 20x + 160
Where y is the total fees for physical therapy
x is the number of times Min-ji goes to physical therapy, and $20 is the fee each time Min-ji goes to physical therapy
The additional cost Min-ji's parents have to bear for the physical therapy is a fixed fee of $20 per session.
If Min-ji goes to physical therapy x number of times, the total additional fee that they will have to bear is 20x.
In addition to this, Min-ji's parents pay $160 for insurance. Therefore, the total cost, y, for the physical therapy for the given period can be found by adding the $160 to the $20 fee for each session multiplied by the number of sessions:
y = 20x + 160.
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I need help with this please
Answer:
D is the answer for your question
Answer:
D: Three friends went to dinner and paid a total of $27. If they divided the bill evenly, what is x, the amount each friend paid.
Step-by-step explanation:
3x=27
If you divide both sided by 3, then it tells you the coast that each friend paid. Each friend paid nine dollars. 9 times 3 equals 27.
Suppose we are making a 95% confidence interval for the population mean from a sample of size 15. What number of degrees of freedom should we use?.
The number of degrees of freedom we should use is 14 for makin95% confidence interval.
Degrees of freedom of an estimate is the number of independent pieces of information that went into calculating the estimate. It’s not quite the same as the number of items in the sample. In order to get the df for the estimate, you have to subtract 1 from the number of items.
Degree of freedom of sample size of n : n -1
When we don't have any idea about population standard deviation,
and also, the sample size is less than 30 .
We use t-distribution to calculated the statistics.
According to the question,
We are making a 95% confidence interval
The sample is 15 (<30) . So , we have to adjust and use a t-value instead of a Z score in order to account for the smaller sample size and using the sample SD.
Note that the t-value depends on the degrees of freedom (df) as a reflection of sample size. When using the t-distribution to compute a confidence interval, df = n-1.
So , making 95% confidence interval for population mean from sample size 15 , we need degree of freedom of 14
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john has a full tank of gas in his car. his car has a 15-gallon tank. his car gets 30 miles per gallon. which equation shows the relationship between how many miles, m, John drives and the number of gallons of gas, g , remain in the car's tank?
Answer:
You would multiply 30x15 to get 450miles per tank of gas.
Step-by-step explanation:
the inside diameter (in inches) of 50 lightweight snaps used in assembling computer cases are measured and sorted with the following resulting data: 0.0395 0.0443 0.0450 0.0459 0.0470 0.0485 0.0486 0.0487 0.0489 0.0496 0.0499 0.0500 0.0503 0.0504 0.0504 0.0516 0.0529 0.0542 0.0550 0.0571 (a) compute the sample mean and sample variance. (b) find the sample upper and lower quartiles. (c) find the sample median. (d) construct a box plot of the data. (e) find the 5th and 95th percentiles of the inside diameter.
(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
(a) The mean = sum of all values divided by the number of values
μ = (x1 + x2 + ..... + xn)/n
n = 20
μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20
μ = 0.9878/20
μ = 0.0494
(b) Variance = sum of squared deviations from the mean divided by n-1
s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)
s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19
s² = 0.000016
(b) The minimum is 0.0395 and the maximum is 0.0571.
since the number of data is even, the median will be the average of two middle values.
M = Q2 = (0.0496+0.0499)/2 = 0.04975
Now, the first quartile is the median of the data values below the median
so Q1 = (0.0470+0.0485)/2 = 0.04775
And third quartile will be the median of the data values above the median
Q3 = (0.0504+0.0516)/2 = 0.0510
(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set
so M = (0.0496+0.0499)/2
or M = 0.04975
(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.
The boxplot is attached.
(e) The 5th percentile means 0.05(n+1)th data value
or = 0.05(20+1) = 1.05th data value
5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974
similarly,
95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995
Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.
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which statistical method could a scientist use to estimate the strength of evidence that a particular node in a phylogeny exists?
A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.
Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.
Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.
Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.
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