Ordering the numbers 5, -7, -9, and -2 from least to greatest: -9, -7, -2, 5
Ordering the absolute values of 5, -7, -9, and -2 from least to greatest: 2, 5, 7, 9
How to explain the valuesAbsolute value is the magnitude of a number, irrespective of its sign. It is always a non-negative number. When we compare numbers based on their absolute values, we ignore their signs and only consider their magnitudes.
In the first set of numbers, the negative numbers (-7, -9, -2) are all less than the positive number (5). However, in the second set of absolute values, the smallest number is 2, which corresponds to the absolute value of -2. This is because the absolute value of -2 is equal to the absolute value of 2, and since 2 is the smallest absolute value in the set, -2 comes before the other numbers in the ordering.
This illustrates how absolute value affects the ordering of numbers. When we compare based on absolute value, we are only considering the magnitudes of the numbers and not their signs. This can change the relative ordering of numbers, particularly when comparing negative numbers to positive numbers.
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The cost, C, of air conditioning your home, in dollars per day, when the temperature outside is T degrees Fahrenheit is given by
The equation representing the cost, C, of air conditioning your home, in dollars per day, when the temperature outside is T degrees Fahrenheit is given by the function C(T).
We need the information about the relationship between the cost, C, of air conditioning your home in dollars per day and the temperature outside is T degrees Fahrenheit.
It is mentioned that the cost, C, of air conditioning your home is dependent on the temperature outside, so we can say that it is a function of the temperature outside, T.
In mathematical terms, this can be written as:
C(T)
Here, C is a function of T, which implies that the cost of air conditioning depends on the temperature outside.
Hence, this equation tells us the relationship between C and T.
The equation, therefore, could be a linear or a nonlinear equation, depending on the nature of the relationship between C and T.
So, we can say that the equation representing the cost, C, of air conditioning your home, in dollars per day, when the temperature outside is T degrees Fahrenheit is given by the function C(T).
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I’m not smart so can someone help me
at first plot the point In graph after that measure thatt side and you ll get the answer . thank you
Step-by-step explanation:
please mark as a brainlist
help me with this question please asap
Answer:
ok what is the question
Step-by-step explanation:
solve for x
no links or i will report
Answer:
x = -2
Step-by-step explanation:
8(-2) = -16
2(-2) - 12 = -16
if you have 10 dogs then how many do you have if you divide it by 10 and multiply it by 7.
Answer:7
Step-by-step explanation: 10/10= 1
1•7=7
Answer:
That would be 7
Step-by-step explanation:
10/10=1
1*7=7
I'm doing a test now please help!!!!!!
Ann and Tori wanted to estimate the average weight of an Oreo cookie to determine if it was less than advertised (34 grams for 3 cookies). They selected a random sample of 36 cookies and found the weight of each cookie (in grams). The mean weight was 11.3921 grams with a standard deviation of Sx= 0.0817 grams.
Construct and interpret a 90% confidence interval for the true mean weight of an Oreo cookie. Show your calculations and round your interval to 3 decimal places.
Answer:
the answer is equal to 90%of 11.3921 which is 1.25313= 1.253
Please help fast !!!! Five times as much as the quotient of 96 and 3 what is the answer?
Answer:
hiiii
Step-by-step explanation:
1440
Answer:
1440
Step-by-step explanation:
round to the nearest tenth
esesrchers published a study that investigated the degroe to which a country's households waste food. The cesoarchers used data from 3 sos households to reasure the percentage of food a. Find a F9% considence inderval for 1 , the true mean anount of food wasted by aff households.
The 99% confidence interval for the true mean amount of food waster by all households is given as follows:
(36%, 37.6%).
How to obtain the confidence interval?The sample mean and the population standard deviation are given as follows:
\(\overline{x} = 36.8, \sigma = 17.9\)
The sample size is given as follows:
n = 3289.
Looking at the z-table, the critical value for a 99% confidence interval is given as follows:
z = 2.575.
The lower bound of the interval is given as follows:
\(36.8 - 2.575 \times \frac{17.9}{\sqrt{3289}} = 36\)
The upper bound of the interval is given as follows:
\(36.8 + 2.575 \times \frac{17.9}{\sqrt{3289}} = 37.6\)
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Which number(s) satisfy a ∩ c? 16, 81 1, 16, 81 1, 4, 9, 16, 25, 36, 49, 81, 100 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Answer:
Step-by-step explanation:
B: 1, 16, 81
WHY?
Set A is perfect squares from A to 100:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100
Set A = 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Set C is perfect fourths
1^4 = 1
2^4 = 16
3^4 = 81
4^4 = 254 (This is greater than 100)
Set C = 1, 16, 81
Hope this helps :)
Divide. Write your answer as a fraction in simplest form.
9/10÷(−6/5)=
Answer:
\(-\frac{3}{4}\)
Step-by-step explanation:
1.\(\frac{9}{10}\)×\(-\frac{5}{6}\)
2.\(-\frac{3}{4}\)
Can someone help explain to me how to do it
Answer:
Step-by-step explanation:
Mean = sum÷n = (4+5+x+11+7+5) / 6 = (32+x) / 6
We're told that mean = 7.6
So
(32+x) / 6 = 7.6
32+x = 7.6 × 6 = 45.6
X = 45.6 - 32 = 13.6
if p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) =
The value of the union of sets A and B is, P(A ∪ B) is 0.64.
The union of two sets means the total elements in both the sets combined.
Given: sets P(A) = 0.38, P(B) = 0.83, and intersection P(A ∩ B) = 0.57
We need to find the union of P(A ∪ B).
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Let us substitute the given values in the formula.
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=0.38+0.83-0.57
=1.21-0.57
=0.64
Therefore, the value of union of sets P(A ∪ B) is 0.64.
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A baker made 36 blueberry muffins on Monday. What percent of the total number of muffins were blueberry if the baker made 90 muffins?
The blueberry muffins made by baker on monday is 40% of the total muffins made by the baker .
What is Percentage ?A quantity or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. In order to determine the percentage of a number, divide it by its sum and then multiply the result by 100. The proportion thus refers to a component per 100. The word percent indicates a percentage of 100. The word "percent" denotes "per 100." The letter "%" stands for it.
Now in the given question,
Total number of muffins baker made = 90
Blueberry Muffins made by baker on monday = 36
Prcentage of blueberry muffins out of total muffins \(=\frac{36*100}{90} = 40 %\)
So , the Blueberry Muffins were 40% of the total muffins baker made.
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A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 20 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 22 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Using the equation we know that the flowerbed is 2250 feet away from the hive.
What are equations?A mathematical assertion that has an "equal to" symbol between two expressions with equal values is known as an equation.
As in 3x + 5 Equals 15, for instance.
So, let's say the flowerbed is feet away from the hive.
The bee travels directly from its hive at a speed of 20 feet per second to a flowerbed before returning at a speed of 12 feet per second.
Time = distance/speed
Therefore, the bee needed x/20 seconds to get to the flowerbed and x/12 seconds to fly back to the hive.
The bee spends a total of 20 minutes, or 2060 seconds, or 1200 seconds away from the hive. I
t spends 15 minutes, or 1560 seconds, at the flowerbed.
Consequently, the equation will be:
x/20 + x/12 + 900 = 1200
3x + 5x/60 = 300
8x = 60 * 300
8x = 18000
x = 18000/8
x = 22550
Therefore, using the equation we know that the flowerbed is 2250 feet away from the hive.
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Complete question:
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 20 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 22 minutes.
What equation can you use to find the distance of the flowerbed from the hive?
Jonas is given a test question asking him to show that the sum of two odd integers is always an even integer. Which choice is the best proof of his conjecture?
The number conjecture that proves the given assertion is;
D) Let (2a + 1) be one odd number, and let (2b + 1) be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is a multiple of 2, it is an even number.
How to prove number conjecture?Number Conjecture is also called Goldbach conjecture which is defined as a number theory that states that every even counting number greater than 2 is equal to the sum of two prime numbers.
Now, when we multiply any number by two, it will become even. We can also see that, if we divide any number by two without a remainder, it will be even. In this question, we can say that;
Let (2a + 1) be one odd number.
Let (2b + 1) be the other odd number. Thus;
(2a + 1) + (2b + 1) =
2a + 2b + 2 =
2(a + b + 1).
This is due to the fact that 2(a + b + 1) is a multiple of 2, it is an even number.
Substituting any odd number in a and b gives you an even number
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The missing options are;
A) Every time you add two odd numbers, the sum is an even number.
B) Look at these different examples: 5 + 3 = 8, 15 + 7 = 22, 21 + 13 = 34. So the sum of two odd numbers must be even.
C) Let a and b both represent odd numbers, and let a + b be an even number. Therefore, a + b = b + a, which shows that the sum of two odd numbers is even.
D) Let (2a + 1) be one odd number, and let (2b + 1) be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is a multiple of 2, it is an even number.
A music website claims the mean length of their songs is 3.75 minutes. Suppose the length of songs from this website follows a Normal distribution with standard deviation 0.5 minutes. If 7 songs from this website are randomly selected, then there is about a 90% probability that the sample mean will fall in which interval
The confidence interval is from 3.44 to 4.06 minutes.
According to the statement
we have given that the mean length of songs is 3.75 minutes and standard deviation 0.5 minutes and the sample size n is 7. and the confidence interval is 90%
and we have to find the mean interval.
So, We know that the
A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
And A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.
We know that the z value for 90% confidence interval is 1.64.
so, The formula to calculate margin of error is
MOE = Z*standard deviation/ (n)^1/2
put the values in it
MOE = Z*standard deviation/ (n)^1/2
MOE = 1.64*0.5/ (7)^1/2
MOE = 1.64*0.189
MOE = 0.310
And to find the interval the formula is
Confidence interval = sample mean ± margin of error
Confidence interval = 3.75 ± 0.310
Confidence interval = (4.06,3.44)
So, The confidence interval is from 3.44 to 4.06 minutes.
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a frosting machine can fill 60 jars of chocolate frosting in 3 minutes how many jars can it fill in one hour
Answer:
120
Step-by-step explanation:
60:3=20
1 minute - 20
20×60=120
Answer:
60÷3=20 each minute
60 min in hour so,
20×60=1200 jars in an hour
Answer is 1200
Question 19 of 25
What is the value of the expression below?
(12^1/6)^6
A. 8
B. 64
c. 12
D. 1
Answer: 12
Step-by-step explanation:
Apply exponent rules.
- (a^b)^c = a^b*c
Multiply exponents.
- 1/6 * 6 = 1
12^1
Apply exponent rule.
- a^1 = a
= 12
What mistake was made and what could i do to avoid making the mistake again?
MARKING BRAINLIST
Answer:
You flipped the triangle over the y axis instead of the x axis
Step-by-step explanation:
instead of changing the flipping the sign of the x coordinate ((-5,5) to (5,5)), you would want to flip the y value, ((-5, 5) to (-5, -5)).
Nick borrowed $5,500 from the bank to purchase a car. The interest rate on this 5-year loan is 10.25%. How much does Nick pay in total to the bank?
In sum, Nick repays the bank $8,306.25 over the course of the loan's five years.
Let's start by figuring out the total interest during the loan's five-year period. The formula is as follows:
Total interest = principal x rate x time
where:
principal = the amount borrowed
rate = the interest rate (as a decimal)
time = the time period for which the interest is calculated (in years)
Plugging in the given values, we get:
total interest = 5500 x 0.1025 x 5
total interest = 2806.25
So the total interest over the 5-year loan term is $2,806.25.
Therefore, by adding the interest to the principal, we can get the total amount Nick pays to the bank:
total amount = principal + total interest
total amount = 5500 + 2806.25
total amount = 8306.25
Therefore, Nick pays a total of $8,306.25 to the bank over the course of the 5-year loan.
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Can an object with zero acceleration speed up?
Yes, an object can have zero velocity and immobile be accelerating together. While participating the object, you will find that the object will continue to move ahead for some time and then stops instantly.
Then the object will start to move in the reverse direction.
at all the velocity is constant, the acceleration is zero. For example, a car traveling at a constant 80 km/h in a straight line has nonzero velocity and zero acceleration.
If acceleration is 0, the velocity is not converted. If the velocity is constant (0 acceleration) then the object will continue needing slowing down or speeding up.
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Booker owns 85 video games. He has 3 shelves to put the games on.
Each shelf can hold 40 video games. How many more video games does he have room for? (Brainliest Question)
Answer:
5
Step-by-step explanation:
it's because one shelf is 40 then the second shelf is 80 and then the third is 5.
Ten bags of rice, each marked 5kg rice, actually contained the following weights of rice(in kg) : 5.04kg, 4.95kg, 4.97kg, 5.00kg,5.02kg, 5.05kg,
4.97kg, 5.00kg, 4.99kg and 5.00kg. Find the probability that any of these bags chosen at random contain less than 5kg of rice.
Answer:
4.97kg, 5.00kg, 4.99kg and 5.00kg. Find the probability that any of these bags chosen at random contain less than 5kg of rice.
Step-by-step explanation:
Denominations matter in digital money true or false
Pls help me with this what is 3z+2x-x+15y-2-2y
Answer:
+13+3−2
Step-by-step explanation:
+ 1 3 + 3 -2 :) I am no 100% sure if it is wrong I am sorry
A machine has four components, A, B, C, and D, set up in such a manner that all four
parts must work for the machine to work properly. Assume the probability of one part
working does not depend on the functionality of any of the other parts. Also assume
that the probabilities of the individual parts working are P(A)=P(B) =0.97, P(C) =
0.99, and P(D)=0.93. Find the probability that the machine works properly. Round
to the nearest ten-thousandth.
A) 0.8931
B) 0.1337
C) 0.9355
D) 0.8663
E) None of the answers
Answer:
D)
Step-by-step explanation:
so, it simply means that all 4 events (the 4 machine parts work) are one combined event.
so, the probability that the machine works properly is the product of the 4 single probabilities :
0.97 × 0.97 × 0.99 × 0.93 = 0.86628663 ≈ 0.8663
A differentiable function y(x), and x > 0, that satisfies the IVP y’ |x|, y(-1)= 2 is
To find a differentiable function y(x) that satisfies the initial value problem (IVP) y' = |x| and y(-1) = 2, we can integrate the given differential equation and then apply the initial condition.
Integrating both sides of the differential equation y' = |x| with respect to x, we get:
∫ y' dx = ∫ |x| dx
Integrating ∫ y' dx gives us y(x) + C₁, where C₁ is an arbitrary constant of integration.
Integrating ∫ |x| dx involves considering the different cases for x. Since x > 0 (as given in the problem), we have:
∫ |x| dx = ∫ x dx (for x > 0)
= (x^2)/2 + C₂, where C₂ is another arbitrary constant of integration.
Now, we have:
y(x) + C₁ = (x^2)/2 + C₂
To determine the values of C₁ and C₂, we can use the initial condition y(-1) = 2:
y(-1) + C₁ = ((-1)^2)/2 + C₂
2 + C₁ = 1/2 + C₂
Simplifying further:
C₁ = 1/2 - 2 + C₂
C₁ = C₂ - 3/2
We can rewrite the equation for y(x) by substituting C₁ with C₂ - 3/2:
y(x) = (x^2)/2 + (C₂ - 3/2)
Therefore, a differentiable function that satisfies the given IVP y' = |x| and y(-1) = 2 is:
y(x) = (x^2)/2 + (C₂ - 3/2), where C₂ is an arbitrary constant.
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The Patterson family has 3 kids, 1 boy and 2 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the probability of a girl birth is also 1/2. What is the fractional probability of having 1 boy and 2 girls, in any order, in a family's first 3 births?
Answer:
\(Probability = \frac{1}{8}\)
Step-by-step explanation:
Given
Represent Boys with B and Girls with G
\(P(B) = \frac{1}{2}\)
\(P(G) = \frac{1}{2}\)
Required
Find the probability or having 1 boy 2 girls
Since the order is not important, the probability is calculated as follows;
\(Probability = P(B) * P(G) * P(G)\)
Substitute \(\frac{1}{2}\) for P(B) and P(G)
\(Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}\)
\(Probability = \frac{1 * 1 * 1}{2 * 2 *2}\)
\(Probability = \frac{1}{8}\)
Hence, the fractional probability is \(\frac{1}{8}\)
Can someone please help me with 9. It’s urgent please? I’ll mark brainliest
Answer:
the 7 one
Step-by-step explanation: