Answer:
Step-by-step explanation:
The perimeter of a rectangle
=2(l+w)
=2(14.3+5.2) ft
=2(19.5) ft
=39 ft
The parameter of the triangle is
=20+16+12 yd
=48
What are the fractions Eleven-twelfths and Seven-fifteenths written with a common denominator?
Answer:
55/60 and 28/60
Step-by-step explanation:
the LCM of 12 and 15 is 60.
since 60= 12xFIVE you also need to multiply the 11xFIVE
that is 55. you have 55/60
and since 60=15xFOUR you also need to multiply the 7xFOUR that is 28. you have 28/60
mitchell has two rectangular prisms. prism B has a height that is twice the height of a prism A. The length and width of prism B are the same as the length and width of Prism A. The volume of prism B is
Answer:
b I think it' hope I helped
equivalent fractions for 2 1/5 and 1 5/6
draw the image of the following figure after a dilation centered at the origin with a scale factor of 3/5
The coordinate of the triangle after the dilation is (3, 3), (6, 3), (3, 6)
What would the coordinate after dilationFrom the question, we have the following parameters that can be used in our computation:
(5, 5), (10,5), (5, 10)
Scale factor = 3/5
The coordinate of the triangle after the dilation is calculated as
Image' = triangle * Scale factor
Substitute the known values in the above equation, so, we have the following representation
(5, 5), (10,5), (5, 10) * 3/5
Evaluate
(3, 3), (6, 3), (3, 6)
Hence, the image is (3, 3), (6, 3), (3, 6) and it is attached
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a phrase where you see half of the lighted sido of the moon
Answer:
first quarter moon (i don't know if this answers your question)
Step-by-step explanation:
When half of the Moon's disc is illuminated, we call it the first quarter moon. This name comes from the fact that the Moon is now one-quarter of the way through the lunar month. From Earth, we are now looking at the sunlit side of the Moon from off to the side. The Moon continues to wax.
Factor the polynomial expression 3x2+2.
A. (3‾√x+2‾√i)(3‾√x−2‾√i)
B. (3‾√x+i)(3‾√x−i)
C. (3‾√x+2‾√)(3‾√x−2‾√)
D. (3x+2‾√i)(3x−2‾√i)
Using the Factor Theorem, the expression 3x² + 2 is factored as follows:
\(3x^2 + 2 = (\sqrt{3}x + i\sqrt{2})((\sqrt{3}x - i\sqrt{2}))\)
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:
\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)
In which a is the leading coefficient.
In this problem, the expression is:
3x² + 2.
The roots are found as follows:
\(3x^2 + 2 = 0\)
\(x^2 = -\frac{2}{3}\)
\(x = \pm \sqrt{-\frac{2}{3}}\)
\(x_1 = -i\sqrt{\frac{2}{3}}\)
\(x_2 = i\sqrt{\frac{2}{3}}\)
Hence the factored expression is:
\(3x^2 + 2 = \left(x + i\sqrt{\frac{2}{3}}\right)(x - 1\sqrt{\frac{2}{3}}\right) = (\sqrt{3}x + i\sqrt{2})((\sqrt{3}x - i\sqrt{2}))\)
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Please only answer if you know how :)
create a drawing that includes at least {ONE} of each of the
following. Be creative in your drawing making the scene work together to create one cohesive picture.
Label each structure on your drawing.
Point
Line
Segment
Ray
Plane
Acute angle
Obtuse angle
Straight angle
Complementary angles
Supplementary angles
Adjacent angles
Non‐adjacent angles
Alternate interior angles
Alternate exterior angles
Consecutive interior angles
Consecutive exterior angles
A regular polygon
An irregular polygon
Equilateral triangle
Isosceles triangle
Scalene triangle
Acute triangle
Obtuse triangle
Right triangle
Equiangular triangle
Square
Rectangle
Trapezoid
Kite
Parallelogram
Rhombus
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
for the following scenarios, state the null hypothesis and the alternative hypothesis to be used when a hypothesis test is performed
i) Null hypothesis: Proportion of Americans who believe that nuclear capabilities of other countries seriously threaten world peace is equal to 2/3.
Alternative hypothesis: Proportion of Americans who believe that nuclear capabilities of other countries seriously threaten world peace is different from 2/3.
ii) Null hypothesis: Proportion of gaming headsets with manufacturing flaws that make game-play impossible is less than or equal to 9%. Alternative hypothesis: Proportion of gaming headsets with manufacturing flaws that make game-play impossible is greater than 9%.
iii) Null hypothesis: Mean water temperature downstream from JP's Power Plant's cooling tower discharge pipe is less than or equal to 106°F. Alternative hypothesis: Mean water temperature downstream from JP's Power Plant's cooling tower discharge pipe is greater than 106°F.
In hypothesis testing, the null hypothesis is the default assumption, while the alternative hypothesis is what the researcher wants to prove.
The next step is to conduct a hypothesis test, where a test statistic is calculated, and its probability of occurrence is determined assuming that the null hypothesis is true.
If this probability is very small (usually less than 5%), then the null hypothesis is rejected in favor of the alternative hypothesis.
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Complete Question
1. For the following scenarios, state the null hypothesis and the alternative hypothesis to be used when a hypothesis test is performed.
Scenario i) After the Cold War, it was claimed that two of three Americans say that the chances of world peace are seriously threatened by the nuclear capabilities of other countries. Is there evidence that this proportion is actually different? To investigate this, a random sample of 400 Americans was taken, and it was found that only 248 hold this view.
Scenario ii) JP wants to test whether at least 9% of gaming headsets have manufacturing flaws that make game-play impossible. A sample of 150 headsets revealed that 12 contained a defect.
Scenario iii) The mean water temperature downstream from JP's Power Plant's cooling tower discharge pipe should be no more than 106°F. Past experience has indicated that the standard deviation of temperature is 2°F. The water temperature is measured on nine randomly chosen days, and the average temperature is found to be 99°F
hElP mE plS anD ty I hAd tO rEpoSt thiS :')
Answer:
1: below its initial height.
2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?
3: I would want Mrbeast to be the President because he would help everyone.
when is it best to solve for a system of equations using graphing?
Answer:
All 3 methods- graphing, elimination, and substitution- work, depending on which method you prefer. All 3 methods allows you to find the point of interaction or the variables. Graphing would let you visually see the point and line.
What is the result when the number 38 is increased by 50%?
Answer:
Step-by-step explanation:
So you've got 38 to which you add 50% of 38 since we're talking about increasing.
You can either use percentage directly in your calculation, or you can see it as 50/100, meaning 1/2.
\(38+38*50/100 = 38 + 38*1/2 = 38 + 19 = 57\\\)
And here you go !
John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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Rise over run please ??
Answer:
1 / 1
Step-by-step explanation:
Your line has a 1 to 1 ratio of rise over run.
Factors for x2-2x-2=0
Answer:
Not factor-able
what is the order from least toe greatest with the numbers 0.75,0.3215,2/8,9/16
Answer:2/8, 0.3215, 9/16, 0.75
Step-by-step explanation:
2/8 = 0.25 0.3215 is higher then 9/16 =0.5625 next is 0.75
Why is the sum of three consecutive even integers always a multiple of 3
Answer:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6 = 108.
15th term is 48, 40th term is 223. determine a, d, and the general formula
Answer:
\(\mathrm{a=-50,\ d=7,\ general\ formula=7(n-1)-50}\)
Step-by-step explanation:
\(\mathrm{Solution,}\\\mathrm{Given,}\\\mathrm{15^{th}\ term(t_{15})=48}\\\mathrm{or,\ a+14d=48.........(1)}\\\mathrm{And\ 40^{th}\ term(t_{40})=223}\\\mathrm{or,\ a+39d=223......(2)}\\\mathrm{n^{th}\ term(t_n)=\ ?}\\\mathrm{Subtracting\ equation(1)\ from\ (2),}\\\mathrm{25d=175}\\\mathrm{or,\ d=7}\\\mathrm{Now,\ a+14d=48\ or,\ a=48-14d=48-14(7)}\\\mathrm{\therefore a=-50}\)
\(\mathrm{t_n=a+(n-1)d}\\\mathrm{or,\ t_n=-50+(n-1)7}\\\mathrm{\therefore general\ formula=7(n-1)-50}\)
find the solution to this inequality:
5x + 13 ≥ -37
tom had 14 kilograms of candy. if he wanted to split the candy into 4 bags how much would be in each bag
Each bag would have3.5 kilograms of delicacy.
What are kilograms?Kilograms( kg) are a unit of dimension for mass or weight. It's the base unit of mass in the International System of Units( SI). One kilogram is defined as the mass of a particular cylinder made of platinum- iridium amalgamation, which is kept at the International Bureau of Weights and Measures in France. The kilogram is used to measure the mass of objects and is generally used in everyday life to measure the weight of effects like people, creatures, and food, as well as in scientific and artificial settings to measure the mass of chemicals, accoutrements, and ministry.
Given by the question.
Given by the question.
To split 14 kilograms of candy into 4 bags, you need to divide the total amount of candy by the number of bags:
14 kg ÷ 4 = 3.5 kg
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I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.
Answer: 3/5 or 0.6
Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot. If you divide 3 by 5 you get 0.6.
Look at the fractions below. Write an equivalent fraction for 1/6 and for 3/8 which have the same denominator.
Answer:
\(\frac{1}{6}=\frac{4}{24}\\\frac{3}{8}=\frac{9}{24}\)
Step-by-step explanation:
Simple stuff! The most reasonable answer is to multiply both denominators: \(6*8=48\)
Because 48 can be divisible for both 6 and 8. Afterward, we can write down our fractions, we want our denominator to be 48, so:
\(\frac{1}{6}=\frac{x}{48} \\x=8\)
\(\frac{3}{8} =\frac{y}{48} \\y=18\)
Our fractions are:
\(\frac{1}{6} =\frac{8}{48}\\\frac{3}{8} =\frac{18}{48}\)
We can simplify both fractions and still remain with the same denominator:
\(\frac{1}{6} =\frac{8}{48}=\frac{4}{24} \\\frac{3}{8} =\frac{18}{48}=\frac{9}{24}\)
Both fractions have the same denominator and are equivalent to the original fractions!
A STEAM tutoring center offers a robotics class and an app development class to its members. There are 280 members, all of which are registered for at least one class this spring. If 75% of members registered for a robotics class and 50% registered for an app development class, how many members registered for both robotics and app development?
The number of students who registered for both robotics and app development is 70.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total members = 280
The number of members who registered for the robotics class.
= 75% of 280
= 3/4 x 280
= 3 x 70
= 210
The number of members who registered for the app development class
= 50% of 280
= 1/2 x 280
= 140
We see that,
210 + 140 = 350
But we have 280 members.
So,
The number of students who registered for both robotics and app development.
= 350 - 280
= 70
Thus,
The number of students who registered for both robotics and app development is 70.
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A sample of 30 vehicles is outfitted with snow tires. The vehicles travel 80 km/h in winter driving conditions and apply the brakes. The sample mean and standard deviation of stopping distances for these 30 vehicles are calculated to be 162 metres and 35 metres, respectively. We would tilk to test whether the true mean stopping distunce differs from 150 metres. At the 1% level of siguificance, we khould: (A) reject H
0
since the P-value is between 0.02 and 0.025. (B) fail to reject H
0
, since the P-value is between 0.025 and 0.05. (C) reject H
0
, since the P-value is between 0.025 and 0.05. (D) fail to reject H
0
sinee the P-value is between 0.05 and 0.10. (E) reject H
0
since the P-value is between 0.05 and 0.10.
At the 1% level of significance, we should reject the null hypothesis (H0) since the p-value is between 0.02 and 0.025. Therefore, option A is correct
To test whether the true mean stopping distance differs from 150 meters, we can perform a one-sample t-test. The null hypothesis (H0) states that the mean stopping distance is equal to 150 meters, while the alternative hypothesis (Ha) states that the mean stopping distance is different from 150 meters.
Given a sample size of 30 vehicles, a sample mean of 162 meters, and a sample standard deviation of 35 meters, we can calculate the t-value using the formula: t = (sample mean - hypothesized mean) / (sample standard deviation/\(\sqrt{(sample size)}\)).
In this case, the t-value is (162 - 150) / (35 / \(\sqrt{(30)}\)) ≈ 1.784.
Next, we can determine the p-value associated with this t-value. The p-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since we have a two-tailed test, we need to find the probability of observing a t-value greater than 1.784 or less than -1.784 with 28 degrees of freedom (30 - 1).
Using a t-distribution table or statistical software, we find that the p-value is between 0.02 and 0.025.
At the 1% level of significance, if the p-value is less than 0.01 (1%), we reject the null hypothesis. In this case, since the p-value is between 0.02 and 0.025, we reject H0 and conclude that there is evidence to suggest that the true mean stopping distance differs from 150 meters. Therefore, the correct answer is (A) reject H0 since the p-value is between 0.02 and 0.025.
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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?.
We require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.
Given that,
Assume that a sample size of 15 will be used to calculate a 95% confidence interval for the population mean.
We have to find how many degrees of freedom should we utilize.
We know that,
The answer to the problem is
A 95% confidence interval is being created.
The sample size is 15 (<30). Therefore, in order to account for the decreased sample size and use the sample SD, we must adapt and use a t-value rather than a Z score.
As a reflection of sample size, it should be noted that the t-value is dependent on the degrees of freedom (df). df = n-1 is the formula used to calculate a confidence interval using the t-distribution.
Therefore, we require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.
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Takes 1 hour and 21 minutes for a 2. 00 mg sample of radium-230 to decay to 0. 25 mg. What is the half-life of radium-230?
The half-life of radium-230 is approximately 5 hours and 24 minutes, or equivalently, 324 minutes.
The half-life of a radioactive substance is the time it takes for half of the initial quantity of the substance to decay. In this case, the initial quantity of radium-230 is 2.00 mg, and it decays to 0.25 mg over a time period of 1 hour and 21 minutes.
To determine the half-life, we need to find the time it takes for the quantity of radium-230 to decrease to half of the initial amount. In this case, the initial quantity is 2.00 mg, so half of that is 1.00 mg.
Since it takes 1 hour and 21 minutes for the sample to decay to 0.25 mg, we can determine the time it takes for the sample to decay to 1.00 mg by multiplying the given time by (1.00 mg / 0.25 mg).
(1 hour and 21 minutes) * (1.00 mg / 0.25 mg) = 5 hours and 24 minutes
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evaluate dy for the given values of x and dx. y = √ 3 x 2 , x = 1, dx = −0.1.
To evaluate dy for the given values of x and dx, we can use the formula:
dy = (∂y/∂x)dx
Where (∂y/∂x) represents the partial derivative of y with respect to x.
First, let's find the partial derivative of y with respect to x: ∂y/∂x =\(√3(2x)/2 = √3x\)
Now we can plug in the given values of x and dx into the formula to find dy: dy = \((√3x)(-0.1) = -0.1√3\)
Therefore, when x = 1 and dx = -0.1, the value of dy is \(-0.1√3.\)
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Find the missing number so that the equation has no solutions. 2x–6= x–15
Answer:
x=-9
Step-by-step explanation:
2x-6=x-15
2x=x-9
x=-9
Answer:
2x-6=-9-15
Step-by-step explanation:
2x=x-9
x=-9
Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at
Answer: Tamiya watched \(\dfrac16\) of the movie at night.
Step-by-step explanation:
Let x = part of movie watched at night.
Given : Tanya watched \(\dfrac12\) of movie in the morning.
Part left to watch = \(\dfrac13\)
As per given, we have
\(\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16\)
Hence, Tamiya watched \(\dfrac16\) of the movie at night.
Eighteen is fifteen less than the product of a number and three. Find the number.
Answer:
11
Step-by-step explanation:
Focus on the product of a number and three part first
3×X=?
next it says 18 is 15 less than the product so the product is equal to
18+15=33
now Rewrite the initial equation with the product
3×X=33
now divide by three on both sides to isolate the X , that will result in
X=11
good luck!!! I believe in you!!!
Jorge solves the equation 4 x minus (x + 2) + 6 = 2 (3 x + 8) using the steps below. Step 1: 4 x minus x + 2 + 6 = 6 x + 16 Step 2: 3 x + 8 = 6 x + 16 Step 3: 8 minus 16 = 6 x minus 3 x Step 4: Negative 8 = 3 x Step 5: Negative StartFraction 8 Over 3 EndFraction = x BRAINLISEST
Answer:
The solution of the given equation is x = -4
Step-by-step explanation:
Explanation:-
Given expression 4 x - (x +2) +6 = 2 (3 x+8)
Step(i):-
4 x - (x +2) +6 = 2 (3 x+8)
4 x - x -2 + 6 = 6 x + 16
step(ii):-
3 x + 4 = 6 x + 16
subtracting '4' on both sides , we get
3 x + 4 - 4 = 6 x + 16 - 4
3 x = 6 x + 12
Step(iii):-
Subtracting '6x' on both sides , we get
3 x - 6 x = 6 x - 6 x + 12
- 3 x = 12
Step(iv):-
Dividing '-3' on both sides , we get
\(\frac{-3x}{-3} = \frac{12}{-3}\)
x = - 4
Final answer:-
The solution of the given equation is x = -4
Verification:-
4 x - (x +2) +6 = 2 (3 x+8)
put x = -4
4 ( -4) - ( - 4 +2) +6 = 2 (3(-4)+8)
-16+2+6 = 2 (-12+8)
-8 = -8
Both are equal
Answer:
For everyone on Edge, It's A: He distributed incorrectly.
Step-by-step explanation:
he didn't distribute at all so
im pretty sure.