Answer:
3.5 and -3.5
Step-by-step explanation:
absolute value is the distance from zero to that number so 3.5 and -3.5 should be correct.
Answer:3.5 and -3.5
Step-by-step explanation:
n has absolute value marks, so whatever n is is positive. 3.5 and |-3.5| =3.5
Write each decimal as a fraction in simplest form.
1.0.75
Answer:
43/40
Step-by-step explanation:
find the product of 12 0.6 and 6 1/4
Answer:
17 because you have to sutract them
Step-by-step explanation:
a graphing calculator is recommended. find the taylor polynomial t3(x) for the function f centered at the number a. f(x) = e−3x sin(2x), a = 0 t3(x) = graph f and t3 on the same screen.
To find the Taylor polynomial t3(x) for the function f(x) = e^(-3x) sin(2x), centered at a = 0, it is recommended to use a graphing calculator.
The Taylor polynomial t3(x) for a function f(x) centered at a can be found using the Taylor series expansion, which involves evaluating the function and its derivatives at the point a. In this case, we need to calculate the derivatives of the function f(x) = e^(-3x) sin(2x) up to the third derivative at x = 0. These derivatives can be quite complex, making manual calculations challenging. Therefore, it is highly recommended to use a graphing calculator that supports symbolic calculations to compute the derivatives and construct the Taylor polynomial t3(x). Once you have obtained t3(x), you can graph both f(x) and t3(x) on the same screen to visualize their relationship.
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the length, in words, of the essays written for a contest are normally distributed with a population standard deviation of 442 words and an unknown population mean. if a random sample of 24 essays is taken and results in a sample mean of 1330 words, find a 99% confidence interval for the population mean. z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 you may use a calculator or the common z values above. round each number to three decimal places, if necessary. provide your answer below:
The 99% confidence interval for the population mean is approximately (1097.692, 1562.308). To find the 99% confidence interval for the population mean, we will use the provided z-values and the following formula:
Confidence Interval = Sample Mean ± (Z-value * (Standard Deviation / √Sample Size))
In this case, the sample mean is 1330 words, the standard deviation is 442 words, and the sample size is 24 essays. For a 99% confidence interval, we will use the z-value 2.576 (since it corresponds to z0.005 in the given table).
Now we can plug the values into the formula:
Confidence Interval = 1330 ± (2.576 * (442 / √24))
First, calculate the standard deviation divided by the square root of the sample size:
Standard Error = 442 / √24 ≈ 90.201
Next, multiply the z-value by the Standard Error:
Margin of Error = 2.576 * 90.201 ≈ 232.308
Finally, add and subtract the Margin of Error from the sample mean:
Lower Bound = 1330 - 232.308 ≈ 1097.692
Upper Bound = 1330 + 232.308 ≈ 1562.308
The 99% confidence interval for the population mean is approximately (1097.692, 1562.308).
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Karina has 10 yards of fabric to make tote bags. If she makes 4 equally sized tote bags, how much fabric does she use for each?
tulongGGGGGGG
Karina use fabric for each bag is 2.5 yards.
What is unitary method?The unitary method is a process of finding the value of a single unit, and based on this value; we can find the value of the required number of units.
Given that,
Karina has 10 yards of fabric, she makes 4 equally sized bags
fabric does she use for each = \(\frac{10}{4}\)
= 2.5 yards
It means, Karina use fabric for each bag is 2.5 yards.
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Math 2 MYP | 2.2a Checking for understanding
5 For the points P(10, 13), Q(17, 37), R(24, 13), and S(17, -11):
a Find the distances PQ, QR, RS and SP.
b Robin says: 'the lengths PQ, QR, RS and SP are all equal, so the shape
PQRS must be a square.' Determine whether Robin is correct.
c Robin's logical process was:
Premises:
Reasoning process:
Conclusion:
The four lengths are equal.
If a quadrilateral has four equal sides, then it is a square.
Since PQRS has four equal sides, it is a square.
PQRS is a square.
Explain the fault in Robin's logic.
john and maria are on the game show, "minute to win it" some of the numbers have slipped off the number line. help john and maria place the rational numbers back on the number line below.
\sqrt{16}
2/3
|-3|
2.47 x 10^{-2}
-1/4
The rational numbers arranged on a number line will graduate from the highest to the lowest (left to right) as follows:
√16|-3|2/32.47x10⁻²-1/4What is a rational number?A rational number is defined in mathematics as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. For example, −4/7 is a rational number, as is every integer.
Note that a number line is defined as a horizontal line with evenly spaced numerical increments.
To get the order in which the numbers must be arranged, the trick is to convert the number for which you have doubt into their decimal forms or d integer forms.
A) √16 = 4
B) 2/3 = 0.6
C) |-3| = 3 {Reason: Absolute Value of any number must be its positive equivalent]
D) 2.47 x 10^{-2} = 0.0247
E) -1/4 = -0.25
Hence rearranged in descending order (from highest to lowest) we have:
On the number line, the first nubmer from the left will be √16, followed by |-3|, and so on.
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What is the angle relationships
Find and interpret the z-score for the data value given The value 4.8 in a dataset with mean 19 and standard deviation 2.7 Round your answer to two decimal places. The value _____ is standard deviations below the mean.
The value 4.8 is 5.63 standard deviations below the mean. This means that the data point is significantly lower than the average data point in the dataset and it is an outlier.
Given: Data value = 4.8,
Mean (μ) = 19,
Standard Deviation (σ) = 2.7
To find: Z-score for the data value and interpret the value obtained.
Z-score (also called the standard score) represents the number of standard deviations by which a data point is above the mean. It can be calculated using the formula: `
z = (x - μ) / σ`, where x is the data value, μ is the mean and σ is the standard deviation. Using the given values, we get:
z = (4.8 - 19) / 2.7
= -5.63 (rounded to two decimal places)
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what is the value of k used to find the coordinates of a point that partitions segment into ratio 5:3?
Answer:
(5+3 = 8)
Step-by-step explanation:
The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio (5+3 = 8).
Akeem will record the time it takes him to run 1 mile each day for 7 days. In order to meet his fitness challenge, his mean running time for 7 days must be 9 minutes or less. A list of Akeem's running times, in minutes, for the first 6 days is shown.
9.4, 9.0, 9.1, 8.9, 8.5, 8.8
The time Akeem runs on days must be 9.3 minutes or less than 9.3 minutes if the mean running time for 7 days must be 9 minutes or less.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
We have:
Akeem will record the time it takes him to run 1 mile each day for 7 days. In order to meet his fitness challenge, his mean running time for 7 days must be 9 minutes or less.
Here we are assuming that it is required to find the time Akeem runs on the 7th day.
Let's suppose Akeem runs x minutes on the 7th day.
Mean running time ≤ 9
The mean:
\(\dfrac{(9.4+9.0+9.1+8.9+8.5+8.8+x)}{7} \leq 9\)
\(\dfrac{(53.7+x)}{7} \leq 9\)
53.7 + x ≤ 63
x ≤ 9.3 minutes
Thus, the time Akeem runs on days must be 9.3 minutes or less than 9.3 minutes if the mean running time for 7 days must be 9 minutes or less.
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Find the measure of angle 3
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
82°
Step-by-step explanation:
i. 8x +26 = angle 5 (corresponding angles)
ii. angle 5 = -9x + 179 ( vertically opposite angles)
so,
8x+26= -9x +179 (from i and ii)
or, 17x= 153
therefore, x= 9
now,
angle3 + 8x +26= 180° (linear pair)
angle 3 = 180°- 72-26
hence, angle 3= 82°
Answer:
<3=134.75
Step-by-step explanation:
8x+26=<4
Since angles 3 and 4 are supplementary, write an equation.
(8x+26)+<3=180
Subtract 26 from both sides
8x+<3=154
divide 8 to isolate the variable
x=19.25
`19.25+<3=154
<3=134.75 degrees
Sorry if this is wrong.
how do you model function using rules tables and graphs?
Answer:
For X and then determine Y. So when X is equal to negative 2. Notice that Y is going to be equal to negative 2 times negative 2 plus 5. Well negative 2 times negative 2 is 4 4 plus 5 equals 9.
For f(x) = 4x+ 1 and g(x) = x2 - 5, find (f+ g)(x).
Answer:
x^2+4x-4
Step-by-step explanation:
4x+1+x^2-5
x^2+4x-4
Answer:
A. x² + 4x - 4
Step-by-step explanation:
When the question asks for (f + g)(x), it simply means to add function f(x) and function g(x):
4x + 1 + x² - 5
4x + x² - 4
x² + 4x - 4
hello please help i’ll give brainliest
what’s the answer ????
Answer:
Lani saved during 12 months
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Joyce had business cards made through a printing company. They charge an initial fee of $12 and $3.99 for each box of 100 business cards. If Joyce needs 5 boxes, how much will she be charged?
A. $31.95
B. $52.88
C. $119.95
D. $63.99
Answer:
The correct choice is option A. $31.95
Step-by-step explanation:
The total cost would be the basic fee + the price of the boxes.
So, the initial fee is $12, Joyce needs 5 boxes, and $3.99 is charged per box.
$12 + 5 × $3.99 = 31.95
Please help me with this question.
Solve for the measure
Answer:
The correct answer angle is B) 75.
Answer:
B)
Step-by-step explanation:
It's b but I can't explain it in English I am sorry
help will give brainliest PLEASE
Answer:h=14.2 +13 and the second one is 70
Step-by-step explanation:
I don’t know for sure if I’m right but here is how I got my answer so the graph shows 14 for ”t” which is months and 13 for inches. 14 is for time and the 13 is for rate cause 14 is months whice is a type of time and 13 is Inches which is a time of rate. Then I divded 66 inches by 13 and I got 5 so then I did 5 × 14 and got 70 so that’s how I got it I guess. I’m soo sry if I’m wrong.. Given that O is the centre of the following circle, find the values of the unknowns.
Given:
Radius of circle is 13 cm
Height of triangle is 5 cm
To find:
Value of 'a' and 'b'
Steps:
To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,
A² + B² = C²
\(a^{2} + 5^{2} = 13^{2}\)
\(a^{2} + 25 = 169\)
\(a^{2} = 169 - 25\)
\(a^{2} = 144\)
\(\sqrt{a^{2}}=\sqrt{144}\)
\(a = 12\)
Now to find the value of 'b', i will use law of cosine,
\(c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }\)
\(12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta = 0.3846\\\beta = cos^{-1}(0.3846)\\\beta = 67.38\)
Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively
Happy to help :)
If u need any help feel free to ask
Please help!!! I need the answer
Answer: 8
Step-by-step explanation:
Using SOHCAHTOA, we need TOA as we have the opposite (1) and the adjacent (7)
θ = \(tan^{-1}(\frac{1}{7} )\) = 8.13 = 8
(7+√5)√5-(7+√5)7 how to solve this question
Answer:
-44
Step-by-step explanation:
Using distribute property of multiplication
=> \(7\sqrt{5} + (\sqrt{5} )^2-49-7\sqrt{5}\)
(\(7\sqrt{5}\) will be cancelled with each other)
=> 5 - 49
=> -44
How many Solutions?
4x=y
2x+y = 30
Answer:
one
Step-by-step explanation:
suppose one individual is randomly chosen. find the probability that this person has an iq greater than 95.
The probability that this person has an IQ greater than 95 =62.93%
What is probability?The area of mathematics known as probability is concerned with the outcomes of random events. Probability refers to a chance or potential for something to happen. It explains the likelihood that a specific event will take place.
We frequently say things like, "It will probably rain today," "He will probably pass the test, "There is very little chance of getting a storm tonight," and "Most likely the price of onions will increase once more." We substitute the word probability for all of the words chance, doubt, maybe, likely, etc. in these sentences.
In essence, probability is the ability to forecast an outcome based on the variety and quantity of potential outcomes or the analysis of historical data.
Let X be the IQ
IQ is normally distributed with a mean of 100 and a standard deviation of 15.
a) the probability that this person has an IQ greater than 95
=62.93%
b) the probability that this person has an IQ less than 125
=4.75%
c) Sample size =500
No of people = 0.2486(500) =124.3
d)
No of persons = 0.0047(500) = 2.35
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can disjunction introduction (either ∨il or ∨ir ) be used to derive any type of formula other than a disjunction?
It is impossible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.
What is Disjunction Introduction?A rule of inference in propositional logic and virtually every other deduction system is referred to as disjunction introduction.
It is right to state that it is not possible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.
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how many ways are there to seat 8 people around a circular table where two seatings are considered the same when everyone has the same two neighbors without regard to whether they are right or left neighbors?
There are 2520 ways to seat 8 people around a circular table where two seatings are considered the same when everyone has the same two neighbors without regard to whether they are right or left neighbors.
There are a total of seven different ways for eight individuals to sit around a circular table: (8-1)!=7!. We are using the concept of circular permutation.
By using circular permutation we have,
7!=5040
All of the seating is included in these 5040 ways. Given that everyone has the same two neighbors, regardless of whether they are left or right neighbors, two seating are said to be equal. To achieve the desired outcomes, we must divide the total number of methods by 2.
5040/2
=2520 ways
Therefore, there are 2520 ways to seat 8 people around circular table where two seating are considered the same.
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You are looking at your power bill for the month, you pay 11 cents per kilowatt-hour. running a 60 watt light bulb for 1 hour is .06 kwh, if you leave a light on all the time that has 3 light bulbs in it how much would that cost in a 30 day month? answer in the form of $2.54 without the dollar sign.
Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $28.512
What does kilowatt-hour mean?
One kilowatt of power over the course of one hour is a kilowatt-hour of energy. As an example, a 100-watt light bulb would need 10 hours to consume 1kWh, whereas an oven would consume that same 1kWh amount in about 30 minutes.The rate of consumption of energy is measured in kilowatt-hour.
In the given question
11 cent is paid per kilowatt-hour.
60 watts of light for 1 hour = 0.06 KWh
3 light bulbs of 60 Watts each for 1 hour = 3 x 0.06
= 0.18 KWh
But,
30 days = 30 x 24 hours
= 1440 hours
The total energy consumed for the month = 1440 x 0.18
= 259.20 KWH
The total cost for the month = 0.11 x 259.20
= $28.512
Thus, the total cost for the month is $28.512
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Using the digits 1 to 9, at most one time each, fill in the boxes to make a product that equals 800,000,000
We have the following:
\((4\cdot10^5)\cdot(2\cdot10^3)=800.000.000\)−104=4x−4(2x+16)
I need a whole number i keep messing up
Answer:
x=10
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
use the distributive property
−104 = 4x − 4(2x + 16)
-104 = 4x - 8x - 64
-104 = -4x - 64
+64 +64
-40 = -4x
divide by -4
x = 10