Which of the following compound inequalities is false?(1) l< 4 or 3 > 0(3) -2 <0 and 10 > 3(2) 6 <10 or 525(4) -8 < 0 and 5>5
Answers
Explanation
Step 1
\(\begin{gathered} 1<4or3>0 \\ \end{gathered}\)\(\begin{gathered} 1<4\rightarrow true \\ 3>0\rightarrow true \\ \text{hence} \\ \text{true or true}\rightarrow true \end{gathered}\)so, option 1 is true
Step 2
\(\begin{gathered} -2<0\text{ and 10}>3 \\ -2<0\rightarrow true \\ 10>3\rightarrow true \\ \text{true and true}\rightarrow true \end{gathered}\)Step 3
\(\begin{gathered} 6<10\text{ or 5}\ge5 \\ 6<10\rightarrow true \\ 5\ge5\rightarrow\text{true} \end{gathered}\)so
\(\text{true or true}\rightarrow\text{ true}\)Step 4
finally
\(\begin{gathered} -8<0\text{ and 5}>5 \\ -8<0\rightarrow true \\ 5>5\rightarrow false,\text{ 5 is not greater than 5} \\ \text{true and false}\rightarrow false \end{gathered}\)so, the answer is
\(\begin{gathered} \mleft(4\mright)-8<0and5>5 \\ \end{gathered}\)I hope this helps you
Related Questions
Translate the following phrase into a math expression whichever is appropriate use x to represent the unknown number Six less than the quotient of nine and a number
Answers
Given,
The phrase is,
Six less than the quotient of nine and a number
Consider, the number is x.
The mathematicsl expression of quotient of nine and a number is,
\(\frac{9}{x}\)The mathematical expression of six less than is,
\(-6\)Combining both statements then,
\(\frac{9}{x}-6\)Hence, the mathematical expession is 9/x -6.
Answer:
9/x -6
Step-by-step explanation:
Compute the unit rate. Choose all that are correct.
1/2 mile in each 1/4 hour is a rate of 1/8 miles per hour
1/5 miles in each 1/10 hour is a rate of 1/8 miles per hour
1/2 miles in each 1/6 hour is a rate of 1/12 miles per hour
1/2 miles in each 1/8 hour is a rate of 4 miles per hour
Answers
1/2 miles in each 1/8 hour is a rate of 4 miles per hour. Therefore, option D is the correct answer.
A) Given that, 1/2 mile in each 1/4 hour
Rate = 1/2 ÷ 1/4
= 2 miles per hour
B) Given that, 1/5 miles in each 1/10 hour
Rate = 1/5 ÷ 1/10
= 2 miles per hour
C) Given that, 1/2 miles in each 1/6 hour
Rate = 1/2 ÷ 1/6
= 3 miles per hour
D) 1/2 miles in each 1/8 hour
Rate = 1/2 ÷ 1/8
= 4 miles per hour
Therefore, option D is the correct answer.
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3 Jade buys a blouse and a skirt for of their original price. She pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answers
Answer:
$13.50
Step-by-step explanation:
if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt
decimal representation of 4 / 15 is
Answers
Answer:
0.2666666667
Step-by-step explanation:
What are the three types of horizontal asymptotes?
Answers
There are 3 cases to consider when determining horizontal asymptotes:
1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
2) Case 2: if: degree of numerator = degree of denominator.
3) Case 3: if: degree of numerator > degree of denominator.
state the domain and range for the following relation. then determine whether the relation represents a function.
Answers
The domain and range need to be determined for a given relation, and it will be determined whether the relation represents a function.
To determine the domain and range of a relation, we need to examine the set of inputs (domain) and the set of corresponding outputs (range). The domain is the set of all possible input values for which the relation is defined, while the range is the set of all possible output values that result from the given inputs.
In the context of determining whether the relation represents a function, we need to ensure that each input value from the domain corresponds to a unique output value. If there is any input value that produces multiple output values, the relation is not a function.
To determine the domain, we examine the set of all valid input values. This can be based on restrictions or limitations stated in the problem or the nature of the relation itself. The range, on the other hand, is determined by observing the set of all output values that result from the given inputs.
Once the domain and range are determined, we can check if each input in the domain corresponds to a unique output in the range. If every input has a unique output, the relation represents a function. If there is any input that maps to multiple outputs, the relation does not represent a function.
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Clare asks Andre to play the following number puzzle:
Pick a number
Add 2
Multiply by 3
Subtract 7
Add your original number
Andre’s final result is 27.
Which number did he start with?
Answers
Answer:
The answer is 7.
Step-by-step explanation:
7 + 2 is 9.
9 x 3 =27
27 - 7 =20.
Since the original number is 7 then we add 7 to 20.
7 + 20 = 27.
So, the number he started with is 7.
Susan used 1/2 gallons of gas on Sunday and 3 5/8 gallons of gas on Monday. How many more gallons of gas did she use on Monday?
Answers
Answer: 3 and 1/8 more
Step-by-step explanation:
You can start by converting to the same fraction and making the second one improper, so 29/8 and 4/8. Subtract them to find the difference and you are left with 25/8 or 3 1/8 gallons.
ix=5
3x+y
2x^{2}\)
giving extra points cuz i need this questions to be answered ASAP please thanks :-)
Answers
Answer:
35
Step-by-step explanation:35
select the list that correctly includes all of the coefficients from the problem
-2+6y+m-2y+8-4m
Answers
Answer:
( B.) 6, 1, -2 , -4
Step-by-step explanation:
A coefficient is a number multiplied by a variable. So, in this case let's take a look at the problem.
-2+6y+m-2y+8-4m
Now we have to find the numbers that have a variable next to it
which are 6,m,-2, and -4
(If you are wondering that why m is a coefficient its because it is also known as 1m)
Final answer = 6, 1, -2 , -4
Hope this helps!
Two numbers have these properties
both numbers are greater than 8
their highest common factor is 8
their lowest common multiple
find the 2 numbers
Answers
The two numbers that satisfy the given conditions are 16 and 10.
to find the two numbers with the given properties, we need to consider their highest common factor and lowest common multiple.
given that the highest common factor (hcf) of the two numbers is 8, it means that 8 is the largest number that can divide both numbers evenly.
to determine the lowest common multiple (lcm) of the two numbers, we can use the formula:
lcm = (number 1 * number 2) / hcf
since the hcf is 8, we have:
lcm = (number 1 * number 2) / 8
to satisfy the condition that both numbers are greater than 8, we can start by choosing 16 as one of the numbers. now we can substitute this value into the lcm formula:
lcm = (16 * number 2) / 8
simplifying the equation:
lcm = 2 * number 2
to find the value of number 2, we need it to be a multiple of 2 that is greater than 8. let's choose 10 as number 2:
lcm = 2 * 10 = 20
now we have found the lcm, which is 20. to find the second number, we divide the lcm by the chosen number 2:
number 1 = lcm / number 2 = 20 / 10 = 2
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Can someone please solve these up to 8? ( if you can do up to 13 even better)
Answers
Answer:
1. some rectangles are squares
2. all rhombuses are quadrilaterals
3. no squares are triangles
4. some rectangles are regular quadrilaterals (squares are rectangles)
5. some quadrilaterals have four congruent angles
6. no rectangles are rhombuses
7. all squares are regular quadrilaterals
8. some parallelograms have four congruent angles
At the beginning of a population study, a city had 350,000 people. Each year since, the population has grown by 4.4%.
Let t be the number of years since start of the study. Let y be the city's population.
Write an exponential function showing the relationship between y and t .
Answers
Answer: The exponential function that models the population growth of the city over time is:
y = 350,000 * (1 + 0.044)^t
where t is the number of years since the start of the study, y is the city's population, and 0.044 is the annual growth rate expressed as a decimal.
The function is an example of exponential growth, where the population is increasing at a constant rate over time.
Step-by-step explanation:
Proportions
Find the unknown number in each proportion. 8
x days
4 years
=
365.25 days
1 year
9.
33,264 feet
x miles
5,280 feet
1 mile
Answers
Answer:
8 x 182.625 = 4years
Step-by-step explanation:
hard to understand the rest maybe upload a picture
The best description of a dilation of a figure is?
Answers
Answer:
an enlargement or a reduction of the figure
a slide of the figure
a turning of the figure about some fixed point
a mirror image of the figure
The best description of a dilation of a figure is a slide of the figure.
What is dilation?
A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.
Now,
The best description of a dilation of a figure is a slide of the figure.
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a bakery used 25% more butter this month than last month if the bakery used 240 kilograms of butter last month how much did it use this month
Answers
Answer:
300
Step-by-step explanation:
25% of 240 is 60.
.You earn $420 per week. You pay social security taxes of 7.65%, federal taxes of 22%, and state taxes of 5.95%. What is your take home pay?a)$234.65b)$243.99c)$265.43d)$270.48
Answers
Therefore, the correct option is (d) $270.48, which represents your take-home pay after deducting the specified taxes from your earnings.
To calculate the take-home pay, we need to subtract the total amount of taxes from the earnings.
In this case, the earnings are $420 per week.
The social security tax is 7.65% of the earnings. Therefore, the amount deducted for social security tax is:
Social security tax = 7.65% * $420 = $32.13
The federal tax is 22% of the earnings. So, the amount deducted for federal tax is:
Federal tax = 22% * $420 = $92.40
The state tax is 5.95% of the earnings. Hence, the amount deducted for state tax is:
State tax = 5.95% * $420 = $24.99
To calculate the take-home pay, we subtract the total taxes from the earnings:
Take-home pay = $420 - ($32.13 + $92.40 + $24.99) = $270.48
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Event A occurs with probability of 0.3 and event B occurs with probability 0.4. If A and B are independent, we may conclude that P (B/A) = 0.4. P (A and B) = 0.12. P (A/B) = 0.3. P (A or B) = 0.58. all of the answers are correct.
Answers
If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.
Which statements regarding the probabilities of events A and B are correct when they are independent?Let's evaluate each statement:
P(B/A) = 0.4:
This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.
Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.
P(A and B) = 0.12:
This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.
P(A/B) = 0.3:
This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.
P(A or B) = 0.58:
This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.
If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.
Therefore, the correct statements are:
P(A and B) = 0.12P(A or B) = 0.58The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.
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yesterday 15 employees in an office were absent if these absentees constitute 30% of the employees, what is the total number of employees
Answers
Answer:
total of 50 employees
Step-by-step explanation:
15 / 3 = 5
5 employees compensated for 10% of the employees.
10% • 10% = 100%
5 • 10 = 50
The total amount of employees at the job is 50.
The answer is 50 employees total.
stratified random sampling is a method of selecting a sample in which . a. the population is first divided into groups, and then random samples are drawn from each group b. the elements are selected on the basis of convenience c. various strata are selected from the sample
Answers
The stratified random sampling is a method of various strata are selected from the sample. So, the right choice for answer is option(c).
The four probability sampling methods mainly applied in research methods include simple random sampling, cluster sampling, stratified sampling, and systematic sampling. In certain situations, we need to remove the sampling bias, and for that, we opt for stratified random sampling. Here we talking about stratified random sampling. A method of probability sampling (where all members of the population have an equal chance of being included) Population is divided into 'strata' (sub populations) and random samples are drawn from each. Therefore, the required choice is option (c), that is various strata are selected from the sample.
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Your employer tells you that the salary for your new job will be less than $484 per week but not less than $396 per week. Which inequality describes your salary, S?
Answers
I think the inequality is less than or equal to (here what the sign looks like ≤ )
Which point do the graphs of f and g have in common?
f(x) = log2x and
g(x) = log10x.
Answers
The point that the graphs of f and g have in common are (1,0)
How to get the points?The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0).
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In his will, Mr. Ravi divided his property into 2 parts in the ratio 12:3. He divided the first bigger part of ₹ 7,20,000 among his children and donated the second smaller part to an NGO that works for the welfare of Divyang children. i) Find the amount donated to the NGO. ii) Which value is being depicted by Mr. Ravi's act?
a) ₹ 9,00,000 ,charity
b) ₹ 9,00,000 , punctuality
c) ₹ 1,80,000 , regularity
d) ₹ 1,80,000 , charity
Answers
Based on the information given, the value that is being depicted by Mr. Ravi's act will be ₹180,000, charity.
Solving ratios.From the information given, it was stated that Mr. Ravi divided his property into 2 parts in the ratio 12:3. He divided the first bigger part of ₹ 7,20,000 among his children and donated the second smaller part to an NGO that works for the welfare of Divyang children.
Therefore, the amount that's donated to the NGO will be:
= 3/12 × 720000
= 180000
In conclusion, the value that is being depicted by Mr. Ravi's act will be ₹180,000, charity.
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f (x) = 13\(\sqrt[3]{x}\) power function yes or no
if yes where is k and p
Answers
Answer:
f =
x = 13 = x
k = x
p = x
Step-by-step explanation:
What is the probability that a randomly selected service technician will take at 0.5 most 20 minutes to change the oil in the car? points
PIXs= 20) = 0 P(Xs= 20 = 0.5000 P(Xs< 20 = 0.375 PIXS 20) = 0.625 PIXS 20) = 1
Answers
The time taken by the service technician to change the oil in a car is soved by probability distribution, such as a normal distribution.
We would need to know the mean and standard deviation of the distribution to calculate the probability that a randomly selected technician will take at most 20 minutes.
If we assume that the mean time to change the oil is μ and the standard deviation is σ, we could use the cumulative distribution function (CDF) of the normal distribution to calculate the probability that a randomly selected technician will take at most 20 minutes:
P(X ≤ 20) = Φ((20 - μ) / σ)
where Φ(z) is the CDF of the standard normal distribution, which gives the probability that a standard normal random variable is less than or equal to z.
Without knowing the values of μ and σ, we can't calculate this probability. However, we could make some assumptions or estimates based on data or prior knowledge to come up with reasonable values for these parameters.
Alternatively, if we have discrete data on the time, we could use a different probability distribution, such as the binomial distribution.
In this case, we would need to know the sample size and the probability of a technician taking at most 20 minutes, and we could use the binomial probability mass function to calculate the probability of getting a certain number of technicians who meet this criterion.
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Needing help on this! I don't really understand all that much
Answers
Answer:
1. Positive correlation
2. Strong positive correlation.
3. The categories are strongly related since students who slept 7 hours and above all got over 80% on the test and students who slept for less than 7 hours got less than 80% on the test.
Step-by-step explanation:
If question 2 is incorrect or doesn't seem right to you, I believe this is the formula which you need to use.
8 blocks can build a house. Jimmy has 165 blocks, how many houses can he build? How many blocks will he have left?
Answers
Answer:
He can build 20 houses. He will have 5 left over.
Step-by-step explanation:
8 x 20 = 160
165 (total blocks) - 160 (highest possibility) = 5 (not enough to build a house, which is why they are left over)
3 A pair of vertical angles is formed as shown.
175°
(5x + 30)
Which best represents the value of ?
A 29
B 1
C31
D41
Answers
Answer:
A - 29
Step-by-step explanation:
5x + 30 = 175
5x +30 -30 = 175 - 30
5x = 145
5x ÷ 5 = 145 ÷ 5
X = 29
What is the rule for the number pattern below
900, 800, 650, 500, 350,....
A. Subtract 150.
B. Subtract 100.
C. Add 200
D. Add 250.
Answers
Answer:
I think there should be 950 at the first .. then the answer will be subtract 150
A phone sells for $250. It is now on sale for 1/5 off the original price. April has a coupon for an extra 10% off the sale price. To the nearest dollar, how much less than the original price will April pay for the phone? *
Answers
Answer:
She will pay $75.00 less.
Step-by-step explanation:
To get ⅕ of 250, divide it by 5. (250÷5=50)
You also need to take 10% off of the original price. To do that, multiply 250 by 0.1. (250×0.1=25)
In total, she will pay $75.00 less, or $175.00. (50+25=75) (250-75=175)