Answer:
v = - \(\frac{1}{2}\)
Step-by-step explanation:
Given
v = u + at ← substitute the given values for u, a, t
= 1 + ( - 3 × \(\frac{1}{2}\) )
= 1 + (- \(\frac{3}{2}\) )
= 1 - \(\frac{3}{2}\)
= \(\frac{2}{2}\) - \(\frac{3}{2}\)
= - \(\frac{1}{2}\)
The average battery life of 2600 manufactured cell phones is recorded and normally distributed. The mean battery life is 14 hours with a standard deviation of 0.9. Find the number of phones who have a battery life in the 14 to 14.9 hour range
Approximately 888 phones have a battery life in the 14 to 14.9 hour range.
To find the number of phones that have a battery life in the 14 to 14.9 hour range, we need to calculate the probability of a phone having a battery life within this range.
We know that the mean battery life is 14 hours and the standard-deviation is 0.9. From this, we can calculate the z-score for the lower and upper limits of the range using the formula:
z = (x - μ) / σ
For the lower limit, x = 14 and μ = 14, σ = 0.9:
z = (14 - 14) / 0.9 = 0
For the upper limit, x = 14.9 and μ = 14, σ = 0.9:
z = (14.9 - 14) / 0.9 = 1
We can then use a standard normal distribution table or a calculator to find the probability of a phone having a battery life within this range.
Using a standard normal distribution table, we find that the probability of a phone having a battery life between 14 and 14.9 hours is 0.3413.
Finally, to find the number of phones with a battery life in this range, we multiply the probability by the total number of phones:
2600 * 0.3413 = 888
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what is the center of the dilation
Answer:
C
Step-by-step explanation:
If you draw a straight line through all the corresponding vertices, where the three vertices meet up at is the center of dilation, they all meat up at point C so C is the center of dilation.
A square rug is centered in a square room. Each edge of the rug is 2 feet from the nearest
wall. The room has an area of 100 sq.ft. What are the dimensions of the rug?
Answer:
I think its 8x8
Step-by-step explanation:
To find the area of a square room is length times width and I know that 10x10 is 100 so I can assume that the room is 10x10. Now you say the edge of the rug is 2 feet from each wall and 10-2 is 8 so thats how I got 8x8.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
40°
Step-by-step explanation:
∠AOE and ∠COD are vertical angles meaning they have the same value.
Choose the graph of y = -3 sin x.
Step-by-step explanation:
the graph should look something like this
tye length of a room is twice then the breadth and thrice the height. if volume of room is 288m3 find area
chase ran 36 3/4 miles over 6 days he ran the same distance each day how many miles did he run each day
Therefore, Chase ran 49/8 miles each day.
To find out how many miles Chase ran each day, we need to divide the total distance he ran (36 3/4 miles) by the number of days (6 days).
First, let's convert the mixed number into an improper fraction. 36 3/4 is equal to (4 * 36 + 3)/4 = 147/4.
Now, we can divide 147/4 by 6 to find the distance he ran each day:
(147/4) / 6 = 147/4 * 1/6 = (147 * 1) / (4 * 6) = 147/24.
Therefore, Chase ran 147/24 miles each day.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 147 and 24 is 3.
So, dividing 147 and 24 by 3, we get:
147/3 / 24/3 = 49/8.
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Chase ran a total of 36 3/4 miles over six days. To find out how many miles he ran each day, simply divide the total distance (36.75 miles) by the number of days (6). The result is approximately 6.125 miles per day.
Explanation:To solve this problem, you simply need to divide the total number of miles Chase ran by the total number of days. In this case, Chase ran 36 3/4 miles over six days. To express 36 3/4 as a decimal, convert 3/4 to .75. So, 36 3/4 becomes 36.75 miles.
Now, we can divide the total distance by the total number of days:
36.75 miles ÷ 6 days = 6.125 miles per day. So, Chase ran about 6.125 miles each day.
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Which agency is responsible for promoting the welfare and opportunities of wage earners? a. fda b. hud c. dol d. cpsc
Answer:
DOL, also known as the Department of Labor, is the agency responsible for promoting the welfare and opportunities of wage earners.
Their main goal is to fight for equal rights among workers and to make their wishes and needs at the workplace come true.
Answer:
c
Step-by-step explanation:
which expression is equivlent to 12(2x-3y+4)
Answer:
24x-36y+48
hope this helps :)
24x - 36y + 48 is equivalent to 12(2x-3y+4)
yesterday, Austin burned 199 calories while exercising. Today, he burned 1008.8 calories. How many more calories did Austin burn today than yesterday?
Answer: Austin burn 809.8 more calories today than yesterday.
Please help me!!
Which equation is equivalent to x + 139 = 537
But where are the equations?
Answer:
You need to give us the answers
Step-by-step explanation:
find the difference between point A (3,2) & point B (5,9) , then round the answer to re nearest tenth please help asap
Answer:
The answer is the square root of 53, or about 7.28.
Step-by-step explanation:
To find the distance between two points, you use the formula \(\frac{y_{2} -x_{2}}{y_{1} -x_{1} }\). When we insert the coordinates given, you get the square root of 53, or 7.28.
Sam works for his father for 2
; of the year and works for his mother = of the remainder year. What is the
ratio of the time Sam spends working for his mother to the time he spends working for his father per year?
6/1
1/2
2/1
1/6
1/9
The ratiο οf the time Sam spends wοrking fοr his mοther tο the time he spends wοrking fοr his father per year is 1/6 οr 1:6. Thus, οptiοn D is cοrrect.
What is the ratiο?The relative size οf twο quantities expressed as the quοtient οf οne divided by the οther; the ratiο οf a tο b is written as a:b οr a/b.
If Sam wοrks fοr his father fοr 2/5 οf the year, then he wοrks fοr his mοther fοr the remaining time, which is 1 - 2/5 = 3/5 οf the year.
Tο find the ratiο οf the time Sam spends wοrking fοr his mοther tο the time he spends wοrking fοr his father per year, we can write:
Sam wοrked fοr his father = 2/3 οf year
Remaining time = 1/3
Sam wοrked fοr his mοther = 1/3(remainder year)=(1/3)*(1/3)
=1/9
Ratiο οf time spent fοr mοther and father is
= (1/9):(2/3)
=(1/3):2
= 1:6
Sο, οptiοn d) 1/6 is cοrrect answer
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Complete question:
Sam works for his father for 2/3; of the year and works for his mother = of the remainder year. What is the
ratio of the time Sam spends working for his mother to the time he spends working for his father per year?
6/11/22/11/61/9What is the range of the points on the graph?
Answer:16
Step-by-step explanation:
suppose that iq scores have a bell-shaped distribution with a mean of 10 and a standard deviation of 16.using the empirical rule, what percentage of iq scores are at least 84? please do not round your answer.
Less than 0.03% of IQ scores are at least 84, given a bell-shaped distribution with a mean of 10 and a standard deviation of 16.
The empirical rule is a statistical rule stating that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.
In this case, we know that the mean of the IQ scores is 10 and the standard deviation is 16. To find the percentage of IQ scores that are at least 84, we need to calculate how many standard deviations away from the mean 84 is.
To do this, we can use the formula:
z = (x - μ) / σ
Where:
z = number of standard deviations away from the mean
x = IQ score we are interested in (in this case, 84)
μ = mean of the distribution (10)
σ = standard deviation of the distribution (16)
Plugging in the numbers, we get:
z = (84 - 10) / 16
z = 4.00
This means that 84 is four standard deviations away from the mean. According to the empirical rule, only 0.03% of the data falls beyond three standard deviations from the mean. Therefore, we can estimate that the percentage of IQ scores that are at least 84 is less than 0.03%.
In conclusion, using the empirical rule, we can estimate that less than 0.03% of IQ scores are at least 84, given a bell-shaped distribution with a mean of 10 and a standard deviation of 16.
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Kendall swam (n) laps in a pool. Sophia swam 12 lesd than Kendall. How many laps did they swim altogether
Bananas cost $1.50 per pound, and guavas cost $3.00 per pound. Kiran spends $12 on fruit for a breakfast his family is hosting. Let b be the number of pounds of bananas Kiran buys and g be the number of pounds of guavas he buys.
Answer:
4 pounds of bannanas and 2 pounds of guava
Step-by-step explanation:
2 pounds of bananas equals 1 guava
in tests of a computer component, it is found that the mean time between failures is 520 hours. a modification is made which is supposed to increase the time between failures. tests on a random sample of 10 modified components resulted in the following times (in hours) between failures. 518 548 561 523 536 499 538 557 528 563 at the 0.05 significance level, test the claim that for the modified components, the mean time between failures is greater than 520 hours. use the p-value method of testing hypotheses.
the mean time between failures for the modified components is tested using the p-value method at a significance level of 0.05. The null hypothesis (H0) assumes that the mean time is 520 hours or less, while the alternative hypothesis (H1) suggests that the mean time is greater than 520 hours.
we will use the p-value method of hypothesis testing. The null hypothesis (H0) assumes that the mean time between failures for the modified components is 520 hours or less. The alternative hypothesis (H1) suggests that the mean time between failures is greater than 520 hours.
We start by calculating the sample mean and sample standard deviation of the given data. Using the sample mean and the assumed population mean of 520 hours, we can calculate the test statistic t, which follows a t-distribution with n-1 degrees of freedom (where n is the sample size).
Next, we determine the p-value associated with the obtained test statistic. The p-value represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.
Comparing the p-value to the significance level of 0.05, if the p-value is less than 0.05, we reject the null hypothesis in favor of the alternative hypothesis. This would indicate that there is evidence to support the claim that the mean time between failures for the modified components is greater than 520 hours.
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the historical returns of american airlines (tic: aal) follow a normal distribution with mean of 4.28% and a variance of 9.63%. michael is currently investing $364,888. what is the value at risk (in dollars) at the 2.5% level? note: should be a negative number. to compute the returns, round to the nearest integer.
At the 2.5% level, the maximum value at risk that Michael could experience is approximately $28,187.
The value at risk (VaR) at the 2.5% level can be calculated as follows:
\(VaR = - (364,888 * 0.025 * 0.0428 - \sqrt{(364,888 * 0.025 * 0.0963)}) = - $28,187\)
Where:
The 2.5% level corresponds to the left-tail of the normal distribution with a standard deviation of 1.96.The mean return of American Airlines is 4.28% and the variance is 9.63%, so the standard deviation is the square root of the variance (i.e., sqrt(9.63%) = 31.01%).The investment amount is $364,888.We use the negative sign to indicate that the VaR is a potential loss.Therefore, at the 2.5% level, the maximum potential loss that Michael could experience is approximately $28,187.
In simpler terms, the VaR is a statistical measure that estimates the maximum potential loss of an investment with a certain level of confidence over a given time period. In this case, we use the historical returns of American Airlines to estimate the risk of Michael's investment. The VaR tells us that there is a 2.5% chance that Michael could lose at least $28,187 from his investment in American Airlines, assuming that the future returns follow a normal distribution with the same mean and variance as the historical returns.
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I NEED HELP WITH THIS ASAP I CAN NOT FIND ANY COMMON GROUND FOR THESE NUMBERS ALL HELP IS APPRECIATED THANK YOU
Answer:
45 is um 9x+xy-4y
Step-by-step explanation:
I did it it was a simplify type thing
Help please I need an answer for this fast
Answer:
B 9, -9
Step-by-step explanation:
x^2 - 81 = 0
Add 81 to each side
x^2 = 81
Take the square root of each side
sqrt(x^2) = sqrt(81)
x = ±9
The local theatre production company sells advance tickets (a) for $16 per seat. On the night of the performance, tickets (t) are sold for $22 each. If the company sold 648 tickets for at total of $11,826, write an equation that expresses the total income from ticket sales.
Answer:
16a + 22t = 11826
Step-by-step explanation:
Cost of 1 (a) ticket = $16
Cost of 1 (t) ticket = $22
Total tickets sold = 648
Cost of 648 tickets = $11826
So eqn will be => 16a + 22t = 11826
is 0.25 L less than or greater than 2,500 ML
Answer:
Equal to.
Step-by-step explanation:
there's 1000 ML in one L
so .25 x 1000 =
2500
which would mean they're equal
What’s the answer please help
Answer:
Step-by-step explanation:
where?
Can you help me understand how to simplify this boolean
expression? f(a, b, c, d) = (a’ + c)’d + c’(a +
bd’)
The simplified boolean expression for f(a, b, c, d) is a'c' + d + b'cd.
Provided expression: f(a, b, c, d) = (a' + c)'d + c'(a + bd')
1. Apply De Morgan's Laws
Recall the De Morgan's Laws:
- (A + B)' = A' · B'
- (A · B)' = A' + B'
Using De Morgan's Laws, we can rewrite the expression as follows:
f(a, b, c, d) = (a'c')'d + c'(a + bd')
2. Distributive Law
We can apply the distributive law to the second term c'(a + bd'):
f(a, b, c, d) = (a'c')'d + c'a + c'bd'
3. Apply De Morgan's Laws again
We can apply De Morgan's Laws to the first term (a'c')':
f(a, b, c, d) = (a' + c)d + c'a + c'bd'
4. Distributive Law (again)
We can apply the distributive law to the first term (a' + c)d:
f(a, b, c, d) = a'd + cd + c'a + c'bd'
5. Simplify
By observing the terms, we can identify some common factors:
In the first term a'd + c'a, we can factor out a': a'd + c'a = a'd + a'c' = a'(d + c')
In the last term c'bd', we can factor out b': c'bd' = b'cd'
Now we can simplify the expression further:
f(a, b, c, d) = a'(d + c') + cd + b'cd'
6. Factor out common terms
We can factor out c' from the first two terms and factor out d from the last two terms:
f(a, b, c, d) = a'c' + c'd + cd + b'cd'
7. Combine like terms
We can combine the terms with c'd and cd:
f(a, b, c, d) = a'c' + (c'd + cd) + b'cd'
Simplifying further, we can observe that c'd + cd = c'd + cd + 0 = (c' + c)d = 1 · d = d:
f(a, b, c, d) = a'c' + d + b'cd
Final simplified form:
f(a, b, c, d) = a'c' + d + b'cd
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Suppose that cell H15 is an output cell in a spreadsheet for which we have run a simulation. How could you compute the probability of that cell's value exceeding 500
By using 1-PsiTarget(H15, 500) we compute the probability of cell H15's value exceeding 500 in a spreadsheet simulation.
PsiTarget is a function commonly used in spreadsheet simulation software to calculate probabilities.
The first argument (H15) specifies the cell you want to calculate the probability for.
The second argument (500) represents the target value you want to compare against.
The PsiTarget function returns the probability of the cell's value being less than or equal to the target value.
By subtracting this probability from 1, you get the probability of the cell's value exceeding the target value.
Therefore, the correct formula to compute the probability of cell H15's value exceeding 500 is 1-PsiTarget(H15, 500).
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An 80% confidence interval for a proportion is found to be (0.27, 0.33). What is the sample proportion?
Solution
For this case the confidence interval is given by:
(0.27; 0.33)
We can find the estimaed proportion in the following way:
\(p=\frac{0.27+0.33}{2}=0.30\)then the sample proportion would be 0.30
Find the union and the intersection of the given intervals I₁=(-2,2]; I₂=[1,5) Find the union of the given intervals. Select the correct choice below and, if necessary, fill in any answer boxes within your choice A. I₁ UI₂=(-2,5) (Type your answer in interval notation.) B. I₁ UI₂ = ø Find the intersection of the given intervals Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. I₁ ∩I₂ (Type your answer in interval notation) B. I₁ ∩I₂ = ø
To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.
The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:
I₁ U I₂ = (-2, 2] U [1, 5)
To find the union, we combine the intervals while considering their overlapping points:
I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)
So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).
Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:
I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)
To find the intersection, we consider the overlapping range between the two intervals:
I₁ ∩ I₂ = [1, 2]
Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].
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Determine the equivalent system for the given system of equations.4x − 5y = 23x − y = 8a. 4x − 5y = 213x − 8y = 4b. 4x − 5y = 210x + 3y = 15c. 4x − 5y = 213x − 8y = 26d. 4x − 5y = 27x + 6y = 10
Answer:
d. 4x − 5y = 27x + 6y = 10
I hope my answer helps you.
True or false: a local variable is a variable defined inside a function that can only be used inside its function
Given statement 'a local variable is a variable defined inside a function that can only be used inside its function' is False
A local variable is a type of variable that we declare inside a block or a function, unlike the global variable. They can be used only by the statements that are inside the function or the block of the code. Local variables are not known to functions outside their own.
The variable declared is local within that function that is the declared variable is accessible inside that block itself, it cannot be accessible outside the given function.
Consider the following multiplication function:
ex - void multi()
{
int a = 10, b = 2, c ;
c = a * b ;
cout << c ;
}
int main()
{
cout << "value for c is :"<< c ;
return 0;
}
Here inside the multi function variable a, b, c are declared and initialized inside the function.
Thus, a local variable is defined inside the body of the function and is not accessible outside of the function.
Therefore, given statement 'a local variable is a variable defined inside a function that can only be used inside its function' is False
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