Consider the first multiples of both, 4 and 7,
\(\begin{gathered} 4\to4,8,12,16,20,24,28,32,26,40 \\ 7\to7,14,21,28,35,42,49,56,63,70 \end{gathered}\)Therefore, the least common multiple of 4 and 7 is 28 (the first and only number that appear in both lists)
how many times larger is 1 meter than 1 centimeter
There are 100 centimeters in 1 meter. Therefore, 1 meter is 100 times larger than 1 centimeter.
One meter is 100 times larger than 1 centimeter. This is because the meter and centimeter are both units of length in the metric system, with the meter being the base unit. The prefix "centi-" in centimeter denotes a factor of 1/100. Thus, 1 centimeter is 1/100th of a meter. Therefore, to find how many times larger 1 meter is than 1 centimeter, we divide the meter by the centimeter: 1 meter / 1 centimeter = (1/100) meter/centimeter = 100. Hence, 1 meter is 100 times larger than 1 centimeter in terms of length.
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The solutions to a system of linear inequalities are located in the region where all the shaded regions of the inequalities overlap. What is the region of overlap called?
A. vertex
B. boundary line
C. intersection
D. test point
All the shaded regions of the overlap inequalities represents the located solution region of the system of linear inequalities , the overlap region is called intersection ( option C ).
Graph is attached.
Let us consider the system of linear inequalities are x + y > 1 and x -y <1.Represents both the system of inequality on the graph.Plot x + y > 1, region above x >1, y > 1 represents the inequality.Plot x - y < 1 region x < 1 , y > -1 represents the inequality.Shaded region of both the inequalities intersect each other represents the solution region of the system of inequalities.Solution region is the shaded region which get overlap.Graph is attached.
Therefore, the solution region is represented by the shaded region called (option C) intersection area of the system of linear inequalities.
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PC=3x+7, can you find PC?
The value of PC is 40 when C is the circumcenter of triangle PQR.
Given that,
Consider the complete question is
C is the circumcenter of triangle PQR.
PC=3x-7
RC=5x-15 &
QC= 51-x
We have find the side PC.
A triangle's vertices are equidistance spaced from its circumcenter.
PC=RC=QC
RC=QC
5x-15= 51-x
5x+x= 51+15
6x=66
x=11
The value of x is 11.
We must determine PC's worth.
Substitute x=11 in the above equation.
PC= 3x+7
PC= 3(11)+7
PC=33+7
PC= 40
Therefore, The value of PC is 40 when C is the circumcenter of triangle PQR.
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Please I really need help
Answer:
it would be 1/3
Step-by-step explanation:
Answer: 1/3 chance
Step-by-step explanation:
In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3
x^(2)-7x+c=(x+a)^(2)
Answer:
This equation is a difference of squares factorization. It states that the difference between the square of x and 7x plus some constant c is equal to the square of (x+a). To solve for a and c, we can expand both sides of the equation:
X^(2) - 7x + c = x^(2) + 2ax + a^(2)
And we can set them equal to each other and solve for a and c:
x^(2) - 7x + c = x^(2) + 2ax + a^(2)
-2ax - a^(2) = -7x + c
a = (7x - c) / 2x
c = x^(2) - 7x + a^(2)
Note that this is valid as long as x is not equal to 0.
2^2+4^2+6^2......50^2
Answer:
422,500
Step-by-step explanation:
Since ^2 is comman
(2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50) ^2
= 650^2
=422,500
Hope this is correct plzz mark brainliest
find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.
The probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles = 0.0111
In this question we need to find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.
Total marbles in tha bag
= 3 green marbles + 3 yellow marbles + 4 red marbles
= 10 marbles
the probability of drawing one marble from a bag,
P1 = 1/10
Now there are 9 marbles in the bag.
So, the probability of drawing second marble would be,
P2 = 1/9
So, the required probability of drawing two marbles (without replacement) from a bag would be,
P = P1 * P2
P = 1/10 * 1/9
P = 1/90
P = 0.0111
Therefore, the probability of drawing two marbles (without replacement) from a bag = 0.0111
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how many dozen donuts are there in 46.2 donuts
Answer:
3.85
Step-by-step explanation:
dozen us 12.
To find the number of dozens in 46.2, then you divide it by 12
suppose the length of maize ears has narrow sense heritability (h2) ( h 2 ) of 0.70. a population produces ears that have an average length of 28 cm c m , and from this population a breeder selects a plant producing 34- cm c m ears to cross by self-fertilization.
We can expect the mean length of ears in the next generation to be 31.6 cm.
It is given that the narrow sense heritability (h2) is 0.70, which means that 70% of the total variation in maize ear length is due to genetic factors.
Let the mean length of ears in the original population be µ and the mean length of ears in the selected plant be x. Then, we can use the formula for response to selection to find the expected mean length of ears in the next generation:
x' = µ + h2 * (x - µ)
Substituting the given values, we get:
x' = 28 + 0.70 * (34 - 28) = 31.6 cm
Therefore, we can expect the mean length of ears in the next generation to be 31.6 cm.
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Using the figure below, determine which segment is parallel to the given segment.
Answer:
seg tu is parallel to seg qp
seg ts is parallel to pr
seg us is parallel to qr
Step-by-step explanation:
hope this helped :)
7. The Suarez family paid $15.75 for 3 movie tickets. How much would they
have paid for 12 tickets?
Answer:$63
Step-by-step explanation:
12/3=4
4x15.75=63
Answer: $63
Step-by-step explanation:
Find the unit rate, then multiply
15.75 ÷ 3 = 5.25
5.25 × 12 = 63
Check your work by doing everything backward:
63 ÷ 12 = 5.25
5.25 × 3 = 15.75
Use an equation to write 2 x (2/3) as a multiple of a unit fraction.
High points rewarded for this hard maths question!
Answer:
h = 5 cm
Step-by-step explanation:
a = \(\frac{sum of sides}{2}\) x height Fill in what you know and solve for the height
15 = \(\frac{6+4}{2}\) x h
15 = \(\frac{10}{2}\) x h
15 = 5 + h Subtract 5 from both sides
10 = h
Helping in the name of Jesus.
Answer 5, 6 , and 7 by today please.
Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
if k=7 than 4k-2= what
Answer:
26
Step-by-step explanation: I'm pretty sure its 26 because if k = 7 then 4 times 7 equals 28. Then you subtract 2. That's how I got 26.
Answer:
26Step-by-step explanation:
\(4k-2\\k= 7\\\)
Substitute 7 for k into the given equation
\(4(7)-2\\\\=28-2\\\\=26\)
When someone is 50 m away and there is someone is 3m away how far apart are they?
if your asking how far apart are they from each other then that would be 47 m away from each other.
Hope this helps!!
Help me out on this question please I do t understand .
The mean of a set of data can be found through the formula
\(\bar{x}=\frac{\sum ^n_{i\mathop=0}x_i}{n}\)then, the mean water level can be found as
\(\begin{gathered} \bar{x}=\frac{7+2+8+7+2+8+6+5+9}{9} \\ \bar{x}=\frac{54}{9} \\ \bar{x}=6 \end{gathered}\)
1. I like buying minutes of music to download on my MP3 player. The music company
charges a monthly charge of $4.35 per month and charges $.15 per song. How many
songs can I download a month if I only wish to spend $25.00?
what is the next number in the sequence? 9….16….24….33… 40 41 42 43 skip
Answer:
D) 43-----------------
The difference of the consecutive terms is increasing:
16 - 9 = 724 - 16 = 833 - 24 = 9So it is expected the next term to be 10 points greater:
33 + 10 = 43The next term is 43.
Helppp!! Quick!!!!!!!!
Answer:
49
Step-by-step explanation:
If angle two is equal to 41 degrees and the total degree of the angle is 90 degrees you would subtract 41 from 90 to get 49
Part C. How many steps did you take to walk from point A to point B? Can you walk from point A to point B in fewer steps without taking a diagonal path?
Answer:
Where is point A and B. Confusing -.-
Step-by-step explanation:
Answer:
I think it's 3 steps
Step-by-step explanation:
Hadley tried to evaluate 5\times4{,}0005×4,0005, times, 4, comma, 000 step by step. \phantom{=}\greenD5\times\blueD{4{,}000}=5×4,000empty space, start color greenD, 5, end color greenD, times, start color blueD, 4, comma, 000, end color blueD {\text{Step } 1}Step 1S, t, e, p, space, 1 =\greenD5 \times \blueD{4} \times \blueD{1{,}000} =5×4×1,000equals, start color greenD, 5, end color greenD, times, start color blueD, 4, end color blueD, times, start color blueD, 1, comma, 000, end color blueD {\text{Step } 2}Step 2S, t, e, p, space, 2 = 20\times \blueD{1{,}000} =20×1,000equals, 20, times, start color blueD, 1, comma, 000, end color blueD {\text{Step } 3}Step 3S, t, e, p, space, 3 =20{,}000=20,000equals, 20, comma, 000 Find Hadley's mistake.
Answer:
Hardley didn't make any mistake
Step-by-step explanation:
Given
Step 1: 5×4×1,000
Step 2: 20 * 1,000
Step 3: 20,000
Required
Find Hadley's mistake.
From the highlighted steps above, it is evident that Hardley did not make any mistake when evaluating the given expression.
At step 1, he expanded 4,000 to 4 * 1,000
Step 1:
5×4×1,000
At step 2, he multiplied 5 by 4 which gives 20
Step 2
20 * 1,000
At the last step, which is step 3, he multiplied 20 by 1,000 which gives 20,000 and this is the result of the given expression 5 * 4,000
Step 3
20,000
A pair of gamma rays emitted from the same annihilation event collide with sensors, but their collisions occur 0.33 nanoseconds apart. What is the minimum distance the annihilation could have occurred from the center of the machine
The minimum distance the annihilation event could have occurred from the center of the machine is approximately 98.94 nanometers.
To determine the minimum distance the annihilation event could have occurred from the center of the machine, we can use the speed of light as a constant and the time difference between the collisions of the gamma rays.
The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).
Since the time difference between the collisions of the gamma rays is given as 0.33 nanoseconds, we need to convert this time to seconds. One nanosecond is equal to 1 × 10⁻⁹seconds.
0.33 nanoseconds is equal to 0.33 × 10⁻⁹ seconds.
Now, we can calculate the minimum distance using the equation:
Distance = Speed of light × Time
Distance = 299,792,458 m/s × 0.33 × 10⁻⁹ seconds
Distance ≈ 98.94 nanometers
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What is 0.3 recurring as a fraction?
Answer:
.3 recurring as a fraction is 1/3
A scuba diver dives 243 feet into the ocean and then swims up 156
feet. What integer represents her final position relative to where
she started?
Answer:
Her final position would stop at -87.
Step-by-step explanation:
As she dove 243 feet into the ocean, that means she went down. Therefore she's currently at -243, however she swam up 156 feet ending her up at -87. If that was kinda complicated, then use -243+156 and you'll get -87.
What is 4% of 25?.....
Answer:
1
Step-by-step explanation:
multiply 25 by .04
1. Please answer the following questions in detail:
a) What are the major differences between Normal and Log-normal
distribution?
b) How do you select which one would fit better to your
data?
The Normal distribution is symmetric and ranges from negative to positive infinity, while the Log-normal distribution is skewed and only takes positive values. To select the better fit for data, consider characteristics (positivity and skewness favor Log-normal, symmetry favors Normal), hypothesis testing, visualization, and statistical tests.
Let's analyze each section separately:
a) The major differences between the Normal and Log-normal distributions are:
Normal Distribution: The Normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution that is defined by its mean (μ) and standard deviation (σ). It follows a bell-shaped curve and is often used to model naturally occurring phenomena. The range of values extends from negative infinity to positive infinity.
Log-normal Distribution: The Log-normal distribution is a skewed probability distribution that arises when the logarithm of a random variable follows a normal distribution. It is characterized by its parameters mu (μ) and sigma (σ) of the underlying normal distribution. Unlike the Normal distribution, the Log-normal distribution only takes positive values.
b) Selecting which distribution fits the data better depends on the nature of the data and the research question at hand. Here are a few considerations:
1. Data Characteristics: If the data consists of positive values and the distribution appears to be skewed, the Log-normal distribution might be more appropriate. On the other hand, if the data is symmetric and unbounded, the Normal distribution may be a better fit.
2. Hypothesis Testing: If you have a specific hypothesis to test or a theoretical justification for choosing one distribution over the other, it is advisable to use that distribution.
3. Visualization: Plotting the data and comparing it to the shapes of the Normal and Log-normal distributions can provide visual insights into which distribution aligns better with the data.
4. Statistical Tests: Statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test can be used to assess the goodness-of-fit for each distribution and determine which one provides a better fit to the data.
In summary, selecting the appropriate distribution involves considering the characteristics of the data, the research question, and statistical tests. Visualization and hypothesis testing can further aid in determining the best fit distribution.
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Need answer fast!!!!
if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents. how much would you expect to gain after 20 tosses?
We could expect $30.00 to gain after 20 tosses.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
The probability of all the events occurring need to be 1.
if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.
We need to find out How much would you expect to gain after 20 tosses (in $ dollars).
Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.
Therefore, We could expect $30.00 to gain after 20 tosses.
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a university with a high water bill is interested in estimating the mean amount of time that students spend in the shower each day. in a sample of 11 students, the average time was 4.94 minutes and the standard deviation was 1.27 minutes. using this sample information, construct a 99% confidence interval for the mean amount of time that students spend in the shower each day. assume normality. a) what is the lower limit of the 99% interval? give your answer to three decimal places. b) what is the upper limit of the 99% interval? give your answer to three decimal places.
lower limit of the 99% interval = 3.7265
Upper limit of the 99% interval = 6.1535
What do you mean by standard deviation?
The standard deviation is a quantity that reveals the degree of variation (such as spread, dispersion, and spread) from the mean.
Number of students, n = 11
Averange time , mean , μ = 4.94
Standard deviation , \(s_{x}\) = 1.27
Significance level , α = 1 -= 0.99 = 0.01
Degree of freedom for t-distribution , d.f. = n - 1 = 11 - 1 = 10
Critical value = \(t_{\alpha /2,d.f\) = \(t_{0.005,10}\) = 3.169
Margin of error ,E = \(t_{\alpha /2,d.f\) × \(\frac{s_{x} }{\sqrt{n} }\) = 3.169 ×\(\frac{1.27}{\sqrt{11} }\) = 3.169 × 0.38292 = 1.21347
Limits of 99% confidence intervals are given by:
a) Lower limit = μ - E = 4.94 - 1.21347 = 3.7265
b) Upper limit = μ + E = 4.94 + 1.21347 = 6.1535
Therefore, lower limit of the 99% interval = 3.7265
Upper limit of the 99% interval = 6.1535
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