O
Problem !. Draw the Logic Circuit for:
BD + BE + D'F
Problem 2. What is the boolean Expression of F5?
B
X
Y
Z
F5
The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.
To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.
Step 1: Apply De Morgan's laws
NOT (R AND NOT P) can be simplified as (NOT R) OR P.
Step 2: Distributive property
F5 = (P AND Q) OR ((NOT R) OR P)
Step 3: Apply associative property
F5 = (P AND Q) OR (P OR (NOT R))
Step 4: Apply absorption law
F5 = P OR (P OR (NOT R))
Step 5: Apply idempotent law
F5 = P OR (NOT R)
By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.
Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.
For more such information on: boolean expression
https://brainly.com/question/30887895
#SPJ8
The question probable may be:
Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:
F5 = (P AND Q) OR (R AND NOT P)
Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?
2. Use technology to find the regression equation for the linear association between the "percent of people in poverty" and the "percent of population 25 years and over with no high school diploma." (Round final values to two decimal places.)
Provide this equation.
Write a brief interpretation (1-2 sentences) of the slope using the variable names.
(Print or copy-and-paste the printout that identified the equation of the linear regression line, or any other form of evidence that technology was used.)
The percent of people in poverty increases by 0.77 percentage points.
The equation of the linear regression line for the association between the percent of people in poverty and the percent of population 25 years and over with no high school diploma is y = 0.77x - 0.72.
This indicates that for every 1 percentage point increase in the percent of population 25 years and over with no high school diploma, the percent of people in poverty increases by 0.77 percentage points.
Therefore, the percent of people in poverty increases by 0.77 percentage points.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ1
Giving brainliest to who can help!
Answer:
BELOW
Step-by-step explanation:
OK so AC is 18, since both of those sections are 9, and 9+9=18.
But for AG im kind of stuck. At first I thought it was 11 but then just by looking at it you can see that they aren't the same length(I mean AG and GC) so I don't know about that one.
heres what I THINK it could be
GF and GD COULD BE the same length, considering that this is a 3d shape.
So, since AGF is a right triangle, we can use pythagorem. theorem.
7^2+9^2=x^2
49+81=x^2
130=x^2
x==11.40
MAYBE AG=11.40.
i tried my best sorry
Find the circumference of a circle that has a diameter of 4 m. Use 3.14 for pi.
C=
m
Answer:
12.56m
Step-by-step explanation:
circumference of a circle=2π(d÷2)=2×3.14(4÷2)=6.28×2=12.56m
Mark ran 875 miles in the track club this year . Mark ran in 52 track meets and ran the same number of miles in each . how many miles did Mark run in each track meet write answer in a mixed number
Answer:
I got 16.82692308 if that helps
In a previous poll, 28% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 291 of 1122 adults with childron under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a 0.1 signiflicance level. Because npo (1- Po) 226 2> 10 and the sample size is less than 5% of the population size, and the sample %3D can be reasonably assumed to be random, the requirements for testing the hypothesis paysges (papaou se 0oejd jeupop auo oi puno) What are the null and altemative hypotheses?
There is insufficient evidence to say that the population proportion has decreased from 28%.
"Information available from the question"
In the question:
The significance level, α =.01
The sample size, n = 1122
The number of success, x = 291
What are the null and alternative hypotheses?
Now, According to the question;
Let's know:
Significance Level:
The significance level is the area of the rejection region in the hypothesis test. The larger the significance level, the easier is to reject the null hypothesis. The most common significance level used is 5% but in cases where high precision is required significance level is reduced.
\(H_0\) : p \(\geq\) 0.28
\(H_\alpha\) : p < 0.28
The significance level, α =.01
The sample size, n = 1122
The number of success, x = 291
So,
The sample proportion:
p(cap) = x/ n
= 291/1122
= 0.2594
Test Statistics:
z = \(\frac{p_c_a_p - p }{\sqrt{p\frac{(1-p)}{n} } }\)
z = \(\frac{0.2594 - 0.28}{\sqrt{0.28\frac{(1-0.28)}{1122} } }\)
z = -0.0206/0.0003396
z = -0.2591
Decision rule:
Reject the null if,
p- value \(\leq\) \(\alpha\)
We can use a z-distribution table, an online tool, or the following excel command to calculate the p-value using excel.
p - value = P(z < -0.2591)
= 0.79635
p - value ≈ 0.79635 > \(\alpha\) = 0.01
Fail to reject the null.
Conclusion:
There is insufficient evidence to say that the population proportion has decreased from 28%.
Learn more about Significance Level at:
https://brainly.com/question/29663617
#SPJ4
-4 (1+5)power of 2 divided 6 - (42+5)
Answer:
-71
Step-by-step explanation:
A classmate states that if the radius of a circle is doubled, then its area is doubled. Do you agree or disagree? If you disagree how much larger do you think the area will be?
An amount of $21,000 is borrowed for 15 years at 7.75% Interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
round your answer to the nearest dollar.
Answer: $64,340
Step-by-step explanation:
Because it is a 7.75% increase, simply do 21,000*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775 to get 64339.6179
Hope it helps <3
Suppose that, starting at a certain time, batteries coming off an assembly line are examined one by one to see whether they are defective (let D = defective and N = not defective). The chance experiment terminates as soon as a nondefective bettery is obtained.a. Give five possible outcomes for this chance experiment.b. What can be said about the number of outcomes in the sample space?c. What outcomes are in the event E, that the number of battery examined is an number?
Answer:
a. Possible outcomes for this chance experiment are:
NDNDDNDDDNDDDDN(Here, D means a defective battery, and N means a nondefective battery.)
b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.
c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.
The probability of getting heads on a single coin flip is ;
2
The probability of getting nothing but heads
on a series of coin flips decreases by
2
for each additional coin flip. Enter an exponential function for the
probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a (b)'. In the
event that a = 1, give your answer in the form (b)'.
*will give brainliest for best answer*
The measure of an angle is 3°. What is the measure of its complementary angle?
Answer:
87
Step-by-step explanation:
3+87=90, whatever angle adds up to 90 is complimentary
Find each of the following probabilities for a normal distribution.
a. p(z > 2.10)
b. p(z > -1.50)
c. p(z < -0.55)
I don't understand how in the world do I do this
a. Using a standard normal distribution table, p(z > 2.10) = 0.0188.
b. p(z > -1.50) = 0.9332.
c. p(z < -0.55) = 0.2912.
Define probabilityThe study of random occurrences or phenomena falls under the umbrella of the mathematic discipline known as probability. It is the measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
To find the probabilities for a normal distribution, we need to use a standard normal distribution table or a calculator with a normal distribution function.
a. p(z > 2.10)
Using a standard normal distribution table, we can find that the area to the right of z = 2.10 is 0.0188. Therefore, p(z > 2.10) = 0.0188.
b. p(z > -1.50)
The area to the right of z = -1.50 is the same as the area to the left of z = 1.50. Using a standard normal distribution table, we can find that the area to the left of z = 1.50 is 0.9332. Therefore, p(z > -1.50) = 0.9332.
c. p(z < -0.55)
Using a standard normal distribution table, we can find that the area to the left of z = -0.55 is 0.2912. Therefore, p(z < -0.55) = 0.2912.
To know more about occurrences, visit:
https://brainly.com/question/28953812
#SPJ1
An insurance provider states that their customers save at least, on average, 300 dollars per year by switching to them, with a standard deviation of 150 dollars. Before we decide to switch to the new company and go through all of the hassle, we want to test the claim. So, we go out and sample 64 individuals who switched to the new insurance company and found them to have saved an average of 255 dollars per year. Do we have enough evidence at the α = 0.05 level to state that the insurance provider is false in their claim? Discussion Prompts Answer the following questions in your initial post: What are the hypotheses based on the words given in the problem? Should we use a Z or T distribution in this case? What is our Z or T statistic? What is the P-value? Based on your p-value and alpha, what conclusion will we make? Based on your results, would you switch to this company? Explain why or why not (Note: this can go beyond the use of statistics, but statistical analysis can help our decisions)
The solution to the question is mathematically given as
1)
H0: M \(\geqslant\) 300
H0: M \(\geqslant\) 300
2)
Z distribution.
3)
z=-2.4
4)
P=0.0082
5)
"H0" is rejected as a hypothesis with a level of significance of 0.05.
What is the hypothesis ?Generally, the equation for is mathematically given as
Solutions
we have, \($u=300$$$\begin{aligned}& \sigma=150 \text { dollars } \\N &=64 \text { individuals } \\\bar{x} &=255 \text { dollare. } \\a=& 0.05 .\end{aligned}\)
(1):
H0: M \(\geqslant\) 300 dollars; customers save at least 300 dollars per year by switching to them.
H0: M \(\geqslant\) 300 dollars:
(This is a left-tailed test)
(2):
when \(\sigma\) is known, we use the Z test. we use Z distribution.
(3):
\(\begin{gathered}z=\frac{\bar{x}-\mu}{6 / \sqrt{n}}=\frac{255-300}{150 / \sqrt{64}}=\frac{-45}{18.75}=-2.4 \\z=-2.4\end{gathered}\)
(4):
\(Pvalue $=P(z < -2 \cdot 4)$ $=0.0082 \quad\{$ wing $z$ tables $\}$ \\\\\text { Pvalue }=0.0082\)
(5):
In conclusion, Since p-value = 0·0082 <0.05
This is statistically significant at the 0.05 level.
We thus "Refect H0" using a threshold of significance of 0.05.
"H0" is rejected as a hypothesis with a level of significance of 0.05.
There is not enough data to support the assertion that consumers may save at least $300 annually by switching insurance providers.
Therefore, we would not consider making the transition to this firm.
Read more about probability
https://brainly.com/question/795909
#SPJ1
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
Learn more about interval here:
https://brainly.com/question/30460486
#SPJ1
A car rental company charges $120 plus $0.37 per mile, m. Which equation represents the total cost, c, of renting a car?
What is the value of y?
B
60°
12
12
ro
60°
А
12 to 60
answer 60°
solve:180°-(60°+60°)
180°-120°
60°##
If p + 2q = 20, what is the value of 101p + 202q?
Answer:
bhvigjcgujj
Step-by-step explanation:
find the value of (3^4)/3
Answer:
20.25 or 20 1/4
Step-by-step explanation:
Simplify 3⁴: 3⁴ = 3 × 3 × 3 × 3 = 81
Divide by 3: 81/3 = 20.25 or 20 1/4
Solve ×^2-4×-5=?
Your Genius If You Answered This Correctly
Answer:
(x+1)(x-5)
Step-by-step explanation:
For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
For more questions on Histogram.
https://brainly.com/question/25983327
#SPJ8
What is the perimeter of the parallelogram?
Answer:
P= 2 (a+b)
Step-by-step explanation:
On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for trials of this experiment.
170, 206, 218, 232, 238, 248, 254, 264, 268, 281, 281, 281, 316, 320, 320, 329, 336, 365, 399, 400, 438, 438, 452, 524, 724, 806
1. measures of central tendency do not exist for this data set?
a. Mean
b. Median
c. Mode
d. None of these measures
2. Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. Which measures of central tendency would be affected by the change? Choose all that apply.
Answer:
1.d. None of these measures (do not exist interpreted as all of these exist)
2.The mean is increased from 346.8 to 361.32
Step-by-step explanation:
After calculations we find that all the measures of central tendency exist for this data. The mean , median and mode can be easily calculated .
The mean is 346.8
The mode is 281
The median is 316
Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. The mean would be affected by the change.
The mean is 361.32
The mode is 281
The median is 316
The mean is increased from 346.8 to 361.32
Sea level changes occur at a rate of 10m per 1,000 years. How much will the sea level change over 100,000 years?
A. 10m
B. 1,000m
C. 10,000m
D. 100,000m
Answer:
1.000m
Step-by-step explanation:
I divided 100.000 with 1.000 equals 100
the reason is if I find how many times 1.000 goes into 100.000 then I can use that number to times 10m because changes occur at a rate of 10m per 1,000 years.
\(100.000 \div 1.000 = 100\)
that means that 100.000 is divided up 100 times with each one of those divisions being 1.000.
\(100 \times 10 = 1.000\)
this means how many times 1.000 went into 100.000 which is 100 and if every 1.000 years = 10m three times how many times 1.000 goes into 100.000 with 10 .
if you want more help you can ask me and I will try to answer your questions.
.
Given that 3 is a root of a given polynomial, what can you say is a factor of that polynomial?
The factor of such equation described as having the number 3 as a root can be determined as; (x-3).
What is a possible factor of a given polynomial whose root is 3?It follows from the task content that; we are required to determine a possible factor of a polynomial in the event that such polynomial has a root of 3.
The implication of a polynomial having a root of 3 is that; such a polynomial has 3 to be one of it's zeros.
Hence, a linear equation which holds for such polynomial is that; x = 3 and when expressed as a linear factor, the linear factor is; (x-3).
Read more on factor of a polynomial;
https://brainly.com/question/2404257
#SPJ1
Liam will spin the pointer one time. What is the probability that the pointer will land on red?
Answer:
Step-by-step explanation:
What are the other colors?
if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2
similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....
depends on how many colors are there
? Question
Rachel and Jeffery are both opening savings accounts. Rachel deposits $1,500 in a savings account that earns 1.5% interest,
compounded annually. Jeffery deposits $1,200 in a savings account that earns 1% interest per year, compounded
continuously.
If y represents the account balance after t years, which two equations form the system that best models this situation?
For the conditions stated, y=1500+2250t and y=1200+1200t, respectively, will be necessary equations because both Rachel and Jeffery are opening savings accounts. Rachel places $1,500 in a savings account that accrues annual compound interest of 1.5%. Jeffery places $1,200 in a savings account that accrues continuously compounded interest of 1% per year.
What is equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
according to given condition,
y=1500+1500*1.5t
y=1500+2250t
y=1200+1200*1t
y=1200+1200t
So the required equation will be y=1500+2250t and y=1200+1200t for the conditions given as Rachel and Jeffery are both opening savings accounts. Rachel deposits $1,500 in a savings account that earns 1.5% interest, compounded annually. Jeffery deposits $1,200 in a savings account that earns 1% interest per year, compounded continuously.
To know more about equation,
https://brainly.com/question/10413253?referrer=searchResults
#SPJ13
What is the value of b.
C=25
s=9
B=4c-s2
Answer:
82
Step-by-step explanation:
Plug in the variables into the equation and solve for B but remember your order of operations when solving multiplication/division before addition/subtraction.
B = 4*25-9*2
B = 100-18
B = 82
8. What is the solution to l + (-3) = 9?
A. l = 6
B. l = 12
C. l = -12
D. l = -6
Today Ian wants to run less than 7/12 mile. Write a fraction with a denominator of 4 to respresent a distance that is less than 7/12 miles.(HELP PLEASE ANSWER THISSSS)