Answer:
300 minutes
Step-by-step explanation:
1 hour = 60 Minutes
60x5=300
A triangle has two sides of length 1 and 4. What is the largest possible whole-number length
for the third side?
Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.
How to Apply the Triangle Inequality Theorem to Find the Length of the Third Side of a Triangle?The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.
So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:
1 + 4 > x
4 + x > 1
1 + x > 4
Simplifying these inequalities, we get:
5 > x
x > 3
x > -3 (this inequality is always true)
The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.
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the last digit of the heights of statistics students were obtained as part of an experiment conducted for a class. use the following frequency distribution to construct a histogram. what can be concluded from the distribution of the digits? specifically, do the heights appear to be reported or actually measured?
The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.
Frequency Distribution:
Digit Frequency
0 3
1 5
2 9
3 5
4 3
5 4
6 4
7 4
8 2
9 1
From the distribution of the digits, it appears that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.
The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements. For example, the frequency of the digit '2' is more than twice as high as the frequency of the digits '1' and '3', which is not likely to occur in a set of actual measurements.
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Solve the equation for z.
6 = 8x
Answer:
Step-by-step explanation:
What is h(p)=(p3+4p2-2) in distributive property
Find the constant of proportionality k as a fraction in simplest form. Then enter an equation for the
relationship between x and y.
х
у
8
2.
16
4
24
6
32
8
The constant of proportionality, k is equal to
The equation is y =
Answer:
85
Step-by-step explanation:
If you want to know the answer to this question, "What shape has 1 pair of opposite sides parallel?" it's "TRAPEZOID"
A trapezoid is a shape with one set of opposing sides that are parallel.
As we know that a trapezoid is a quadrilateral with one parallel set of sides.
These parallel sides are known as the trapezoid's bases, and they can be of varying lengths. The legs are the other two sides of the trapezoid. The other leg is not parallel to the other base.
A trapezoid's parallel sides are commonly labeled as base 1 and base 2, while the legs are labeled as side 1 and side 2.
A trapezoid's height is the perpendicular distance between its bases.
Therefore, it is a trapezoid.
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One side of a triangle is 2 times the second side. The third side is 15 feet longer than the second side. The perimeter of a
triangle is 47 feet. Find the length of each side.
Dresdobou
Answer:
16, 8, 23
Step-by-step explanation:
2x+x+x+15=47
4x+15=47
4x=32
x=8
2x=16
x+15=23
Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(1,3), H(2,1), J(-1,-5), and K(-2,-3).
Answer:
the answer is (0,-1)
Step-by-step explanation:
The Midpoint of G(1,3) and H(2,1)= (3/2, 2)
The midpoint of J(-1,-5) and K(-2,-3)= (-3/2, -4)
The midpoint of both (3/2 ,2) and (-3/2, -4)= (0,-1)
11) Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: 1. What is the probability all three of the selected homes have a security system? 2. What is the probability none of the three selected homes have a security system? 3. Did you assume the events to be dependent or independent?
Answer:
1) Pr(all three) = 0.064
2) Pr(none) = 0.216
3) Independent event
Step-by-step explanation:
Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)
Where Pr = probability
This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure
Where p = success, q = failure
For n trials,
Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)
Pr (security) = 40% = 0.4
p = 0.4
q = 1-p = 1-0.4 = 0.6
Numbers selected at random = n = 3
See attachment for more details on the workings.
1) Probability all three of the selected homes have a security system = Pr(all three)
Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³
= 0.4×0.4×0.4
Pr(all three) = 0.064
2) Probability none of the three selected homes have a security system
= Pr(none)
Pr(none) = 1 × (0.4)^0 × (0.6)³
= 0.6³ = 0.6×0.6×0.6
Pr(none) = 0.216
3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.
A vehicle was valued at $36,000 in the year 2011. The value depreciated to $12,000 by the year 2015. Assume that the car continues to drop at a constant rate. How long will it take for the car to be valued at $800?
The car will cost $ 800 after a depreciation time of approximately 6 years.
In what year does a car cost $ 800 due to depreciation?
Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:
c(t) = c' + m · t
Where:
c' - Initial cost of the car, in monetary unit.m - Depreciation rate, in monetary unit per year.t - Time, in years.If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:
m = (12,000 - 36,000) / (4 - 0)
m = - 24,000 / 4
m = - 6,000
800 = 36,000 - 6,000 · t
6,000 · t = 35,200
t = 35,200 / 6,000
t = 5.867
The expected depreciation time is approximately 6 years.
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i need help for this? 4-{-8}/8+5=
Answer:
If you have put the bracket/parenthesis correct, then
4 - {-8}/8 + 5
=> 4 - (-1) + 5
=> 4 + 1 + 5
=> 5 + 5
=> 10
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Thank You!!
Find the probability that a randomly
selected point within the circle falls in the
red-shaded square.
3
P =
3
4
Enter as a decimal rounded to the nearest hundredth.
The probability that the a point will fall on the red-shaded square to nearest hundredth is 0.56
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100% in decimal.
Probability = sample space / total outcome
sample space = area of shaded part
total outcome = area of the whole shape.
area of the shaded part = 3×3 = 9
area of the whole shape = 4×4 = 16
Therefore the probability that a point will fall in the shaded area = 9/16
= 0.56( nearest hundredth)
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Answer:
0.56
Step-by-step explanation:
just got it right
A study was begun in 1960 to assess the long-term effects of smoking Cuban cigars. The study was conducted as part of a public health initiative among residents of Ontario, Canada. Five thousand adults were asked about their cigar smoking practices. After 20 years, these individuals were again contacted to see if they developed any cancers, and if so, which ones. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial A major pharmaceutical company is interested in studying the long-term neurological effects of an anesthetic agent that was discontinued ("pulled off the market") in 2000. The plan is to identify patients who received the drug before it was discontinued (via drug administration records) and assess the outcome of subsequent neurological disorder (from physician office visit records) from the years 2010-2020. An effective study design to attempt answering this question would be A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial Investigators are interested in assessing the prevalence of obesity and diabetes among adolescents. They decide to conduct a survey among high school students during their junior year, asking the students about their current weight and whether they have diabetes, among other questions. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial
The first scenario described is an example of a retrospective cohort study. The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.
1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.
2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.
3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.
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2 + 7^3 + 4(9-6)^2/6
Answer:
The answer is 351
Step-by-step explanation:
Hope this helps!
Dylan walked 1/2 miles in 20 minutes. How far will he go (in miles) in 120 minutes?
Answer:
He will have gone 3 miles after 120 minutes
Step-by-step explanation: 120/20=6 1/2 times 6 is 3.
Answer:
3 miles
Step-by-step explanation:
Divide 20 by 1/2, which would be 40. Then divide 40 by 120, and that would lead to your answer, which is 3 miles.
Hope this helps!
what is the missing value in the table ?
Step-by-step explanation:
f(x)=3x+5
3*6+5=23
f(0)=3*0+5=5
f(1)=3*1+5=8
In a random sample of 12 American adults, the mean waste recycled per person per day was 1.2 pounds and the standard deviation was 0.3 pound. Assume that the amount of waste recycled is normally distributed. The 90% confidence interval for the population mean is pounds << pounds (Round values to the nearest hundredth. There must be two digits after the decimal point. Do not write the units.)
Rounding to two decimal places, the 90% confidence interval for the population mean is (1.04, 4553) pounds.
To calculate the 90% confidence interval for the population mean, we can use the formula:
Confidence interval = sample mean ± (critical value * standard error)
The critical value is determined by the desired confidence level and the degrees of freedom, which in this case is 11
(n - 1) since we have a sample size of 12.
Looking up the critical value for a 90% confidence level and 11 degrees of freedom, we find it to be approximately 1.795.
The standard error is calculated by dividing the sample standard deviation by the square root of the sample size.
In this case, it is 0.3 / √12 ≈ 0.0866.
Plugging in the values into the formula, the confidence interval is:
1.2 - (1.795 * 0.0866) = 1.2 - 0.1557
= 1.04, 4553
Rounding to two decimal places, the 90% confidence interval for the population mean is (1.04, 4553) pounds.
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The area of a trapezoid is 283.5 cm. The height is 9 cm and one of the bases has a length of 26 cm.
What is the length of the other base?
Answer:
Area of a trapezoid calculator determines the area, perimeter, and side lengths for an arbitrary trapezoid.
Missing: 283.5 | Must
Step-by-step explanation:
Find two other pairs of polar coordinates of the given polar coordinate, one with
r > 0
and one with
r < 0.
Then plot the point.
(a)
(3, π/4)
(b)
(2, −2π/3)
(c)
(−2, π/6)
Step-by-step explanation:(a) To find two other pairs of polar coordinates of (3, π/4):
One with r > 0: (3, 9π/4)
One with r < 0: (-3, 5π/4)
To plot the point (3, π/4), we start at the origin and move 3 units along the line that makes an angle of π/4 radians with the positive x-axis.
(b) To find two other pairs of polar coordinates of (2, -2π/3):
One with r > 0: (2, 4π/3)
One with r < 0: (-2, π/3)
To plot the point (2, -2π/3), we start at the origin and move 2 units along the line that makes an angle of -2π/3 radians (which is the same as 4π/3 radians) with the positive x-axis.
(c) To find two other pairs of polar coordinates of (-2, π/6):
One with r > 0: (2, 7π/6)
One with r < 0: (-2, 19π/6)
To plot the point (-2, π/6), we start at the origin and move 2 units in the direction that makes an angle of π/6 radians with the positive x-axis, but since r is negative, we move in the opposite direction. So we end up at a point on the line that makes an angle of 7π/6 radians with the positive x-axis.
find tge length of the wire required to fence a field of length 290 meters and width of 75.25 meters
Answer: 730.5 meters of fencing.
Step-by-step explanation:
We are asked to find the perimeter (fence) of a rectangle (the field) with a length of 290 meters and a width of 75.25 meters.
To find the perimeter, we must add the lengths of each individual side of the rectangle. In other words,
290 + 75.25 + 290 + 79.25 =
730.5.
The radius of a circle is 3 5/12 inches
What is the diameter of the circle?
Answer:
6 5/6
Step-by-step explanation:
diameter is radius multiplied by 2
* means multiplied by
3 5/12 = 41/12
41/12 * 2 = 82/12 = 6 5/6
Answer: 6 5/12
Step-by-step explanation: i just took the k12 test and this is the corret answer
a class has eight girls and two boys. if the teacher randomly picks eight students, what is the probability that she will pick all girls? find the probability of the event.
Given that a class has 8 girls and 2 boys. The teacher randomly picks 8 students. We need to find the probability that she will pick all girls.
To find the probability of the event, we need to use the formula for the probability of an event, which is:
P (event) = Number of favorable outcomes / Total number of outcomes Probability of picking all girls out of 10 studentsSince there are 8 girls and 2 boys in the class, the total number of students is 10.
There are only 8 girls, so the only way to pick all girls is if all 8 girls are selected out of the 10 students.
Total number of outcomes = 10 C8 = 45 (number of ways to pick 8 students out of 10) Number of favorable outcomes = 1 (since there is only one way to pick all 8 girls)
Therefore, the probability of the teacher picking all girls is:P (all girls) = 1/45 Thus, the probability of the teacher randomly picking all girls out of 8 girls and 2 boys is 1/45.
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Isabella drove for 3.5 hours. Based on the graph, how many miles did she drive?
A. 150
B. 175
C. 200
D. 225
Answer:
b. 175 miles
Step-by-step explanation:
you just have to check where the line is to the 3.5 hour mark
15 POINTS!!!HELP!! JUST TELL ME THE FORMULA I NEED TO USE !!!
Answer: No.
Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(
How many solutions does 4(3x+2)=4(2x+3) +4x have?
Final Answer: No Solution. 4(3x + 2) = 4(2x + 3) + 4x has 0 solutions.
Steps/Reasons/Explanations:
Hey there! 8 = 12 would have No Solution because 8 doesn't equal 12. An example of 1 solution is 12 = 12.
Question: How many solutions does 4(3x + 2) = 4(2x + 3) + 4x have?
Step 1: Expand.
\(12x + 8 = 8x + 12 + 4x\)
Step 2: Simplify \(8x + 12 + 4x\) to \(12x + 12\).
\(12x + 8 = 12x + 12\)
Step 3: Subtract \(12x\) on both sides.
\(8 = 12\)
Step 4: Because \(8 = 12\) is false, there is no solution.
No Solution
~I hope I helped you :)~
Answer:
Step-by-step explanation:
steps are stated below
step 1
4(3x+2)=4(2x+3) +4x equation
step 2
4(3x+2)=4(2x+3) +4x simplify
(4)(3x)+(4)(2)=(4)(2x)+(4)(3)+4x
step 3
12x+8=8x+12+4x distribute
step 4
12x+8=(8x+4x)+(12) combine the terms
12x+8=12x+12
step 5
12x+8(-12x)=12x+12(-12x) subtract
8=12
step 6
8(-8)=12(-8)
0=4
Answer
No solution
.When developing groups, there will almost always be disagreements and conflicts as members work to develop a common understanding. This stage of group development is called○ forming.○ norming.○ performing.○ storming.○ adjourning.
The stage of group development that is characterized by disagreements and conflicts is called storming. During this stage, group members may have different ideas and opinions about how to approach tasks and goals, and they may struggle to find a common understanding.
Conflict can arise as individuals compete for leadership roles or try to assert their ideas over others. However, this stage is important for groups to progress towards their goals as it allows for open communication and the airing of different perspectives. Eventually, through negotiation and compromise, groups move on to the norming stage where a common understanding is established and roles are defined. From there, groups move on to performing, where they are able to work together effectively towards their goals.
Finally, the adjourning stage is where the group disbands after reaching their goals or completing their tasks.
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convert this equation into standard form
y=-0.25(x+0)(x-8)
what is the equation of the asymptote of h(x)=-2(5)^x+4
The equation of the asymptote of the function h(x) = -2(5)^x + 4 is y = 4.
An asymptote is a line that the graph of a function approaches but never touches or crosses. In this case, we can observe that as x approaches negative or positive infinity, the exponential term (-2(5)^x) becomes extremely small, approaching zero. Therefore, the function h(x) approaches the constant term 4. This means that the horizontal line y = 4 serves as the asymptote of the function h(x).
To further understand this, we can analyze the behavior of the function as x becomes very large or very small. As x approaches negative infinity, the exponential term (5^x) becomes closer and closer to 0, and when multiplied by -2, it approaches 0 as well. Adding the constant 4 gives us y = 4. Similarly, as x approaches positive infinity, the exponential term (5^x) grows larger and larger, but when multiplied by -2, it becomes more negative and approaches 0. Again, adding the constant 4 gives us y = 4. Therefore, the equation of the asymptote of h(x) is y = 4.
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Solve for y. 6 - 3/y+2 = 2/y+1
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
The equation 6 - 3/y+2 = 2/y+1 has a single solution, which is y = -3, satisfying the original equation when substituted.
To solve the equation, we can start by getting rid of the denominators. We can do this by multiplying both sides of the equation by the common denominator, which is (y + 1)(y + 2).
After multiplying through, the equation becomes 6(y + 1)(y + 2) - 3(y + 2) = 2(y + 1)(y + 2).
Expanding and simplifying the equation, we have 6y^2 + 18y + 12 - 3y - 6 = 2y^2 + 6y + 4.
Combining like terms and rearranging, we get 4y^2 + 6y + 2 = 0.
Simplifying further, we divide the equation by 2 to get 2y^2 + 3y + 1 = 0.
Factoring the quadratic equation, we have (2y + 1)(y + 1) = 0.
Solving for y, we find y = -1 or y = -1/2.
However, upon substituting these values back into the original equation, we find that y = -3 is the only solution that satisfies the equation.
Therefore, the solution to the equation is y = -3.
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Convert 100 days to weeks and days
Answer:
14 weeks and 2 days.
Step-by-step explanation:
Divide 100 days by 7, because there are 7 days in 1 week.
100/7 = 14.2857
0.285714 = 2/7
The answer is 14 weeks and 2 days.
Answer:
there are 100 days
there are 7 days in a week so we divide the days by 7
100days/7days
14.2weeks≈14 weeks are there in 100days
Step-by-step explanation:
i hope this will help you :)