The exact product of 0.35 times is 8.435
Here, the product of 35 and 241 is 8,435
Now we need to find the exact product of 0.35 times 24.1
We can write the decimal number 0.35 as 35 × \(10^{-2}\) ..........(1)
and a number 24.1 as 241 × \(10^{-1}\) ........(2)
Consider the product 0.35 times 24.1
0.35 × 24.1
= 35 × \(10^{-2}\) × 24.1 .........(from (1))
= 35 × \(10^{-2}\) × 241 × \(10^{-1}\) ..........(from (2))
= (35 × 241) × \(10^{-2}\) × \(10^{-1}\) ....(associative property of multiplication)
= 8435 × \(10^{-2-1}\) ..........(property of exponents)
= 8435 × 10⁻³
= 8.435
Therefore, the exact value of 0.35 times 24.1 = 8.435
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Directions: Type your answer in the box. Do not use spaces.
If triangles EFG and GHE are congruent, what is the measure of angle FEG?
F
G
110°
+
360
(x + 24)
E
H
ub
degrees
10
Answer:
36 cuz they are congruent
Step-by-step explanation:
wave interference that results in greater wave amplitude is called_____.
Wave interference that results in greater wave amplitude is called Constructive interference.
What is Wave Interference?
Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.
a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.
b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.
It is Constructive interference.
Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.
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there are no gaps between the bars of this histogram are that way because the bars represent the distribution of continuous or discrete data?
The bars in a histogram are not separated because the data being represented is continuous.
A histogram is a graphical representation of the distribution of data. Histograms are used to illustrate the frequency of data values in a set of information. They provide an estimation of the probability distribution of a continuous variable, which is critical for data analysis in numerous fields.
A histogram can be a bar chart with a frequency count, percentage frequency, or density. Histograms are used to visualize continuous data because they represent an estimation of the underlying probability density function of the random variable that produces the data.
Continuous data is quantitative data that can be measured and manipulated in fractions or decimal points. This data is often represented as a line on a graph. Discrete data, on the other hand, can only take on specific values that are distinct from one another.
Examples of discrete data are the number of pets you have or the number of cars in your garage. They can also be represented graphically as a bar graph because the information falls into discrete bins.
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Calculate the 95% confidence interval for the following fictional data regarding daily TV viewing habits: µ= 4.7 hours; σ= 1.3 hours; sample of 78 people, with a mean of 4.1 hours.
We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.
To calculate the 95% confidence interval, we use the formula:
CI = x' ± Zα/2 * (σ/√n)
Where:
x' = sample mean
Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)
σ = population standard deviation
n = sample size
Substituting the given values, we get:
CI = 4.1 ± 1.96 * (1.3/√78)
Calculating the standard error (SE) first:
SE = σ/√n
SE = 1.3/√78
SE ≈ 0.147
Then we substitute the SE value in the CI formula:
CI = 4.1 ± 1.96 * 0.147
CI = 4.1 ± 0.288
CI = (3.812, 4.388)
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Derek's family traveled 3/10 of the distance to his aunts house on Saturday. they traveled 3/7 of the remaining distance on Sunday. what of the total distance to his aunts house was traveled on Sunday
Answer:
3/10
Step-by-step explanation:
The total distance to Derek's aunt's house will be 10/10 of the distance. If 3/10 of the distance is traveled on Saturday, then ...
10/10 -3/10 = 7/10
of the total distance remains to be traveled.
3/7 of that remaining distance is traveled on Sunday. The fraction of the total distance that represents is ...
\(\dfrac{3}{7}\times\dfrac{7}{10}=\dfrac{3}{10}\cdot\dfrac{7}{7}=\dfrac{3}{10}\)
3/10 of the total distance to his aunt's house was traveled on Sunday.
What is the difference between the absolute value of 4 and the absolute value of -3?
1
4
7
8
use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (assume the data set has a bell-shaped distribution.) question content area bottom part 1 approximately enter your response here% of vehicles travel between miles per hour and miles per hour.
The empirical rule can be used to estimate the percentage of vehicles that are traveling between certain speeds on a highway. This rule is a statistical method for determining the proportion of data that lies within a certain number of standard deviations from the mean.
For normally distributed data, the empirical rule states that approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.
In this case, the mean speed of the sample of vehicles along the highway is miles per hour with a standard deviation of miles per hour. To estimate the percentage of vehicles whose speeds are between miles per hour and miles per hour, we need to determine how many standard deviations from the mean these speeds are.
First, we need to calculate the z-scores for the speeds of miles per hour and miles per hour.
The z-score for miles per hour is:
\(z = (x - μ) / σ = (55 - 60) / 5 = -1\)
The z-score for miles per hour is:
\(z = (x - μ) / σ = (65 - 60) / 5 = 1\)
These z-scores tell us how many standard deviations from the mean these speeds are. A z-score of -1 means that the speed of miles per hour is one standard deviation below the mean, while a z-score of 1 means that the speed of miles per hour is one standard deviation above the mean.
Since the data is bell-shaped and we are looking at speeds that are within two standard deviations from the mean, we can use the empirical rule to estimate the percentage of vehicles that are traveling between miles per hour and miles per hour.
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y=400(0.99)x growth or decay
The given function of the growth decay is decreasing.
What in mathematics is an exponential?
The formula for an exponential function, often known as an exponential function, is f (x) = axe, where "x" is a variable and "a" is a constant that serves as the function's basis and must be greater than 0.The transcendental number, abbreviated e, which is roughly equivalent to 2.71828, is the most often used exponential function basis.
We have given that,
Y=400(.99)^x
Exponential growth is a process that increases quantity over time. decreases over time, and is said to be undergoing exponential decay instead.
Therefore, The given function of the growth decay is decreasing.
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express 3 4/5 as a percent rounding to the nearest tenth of a per
Answer:
3.8%
Step-by-step explanation:
if what you meant was percent, then thats your answer
HW 3: Problem 9 Previous Problem List Next (1 point) Suppose that X is normally distributed with mean 110 and standard deviation 21. A. What is the probability that X is greater than 145.28? Probabili
The probability that X is greater than 145.28 is approximately 0.0465.
Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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Susan made $357 for 17 hours of work.
At the same rate, how much would she make for 9 hours of work?
Answer:
$189
Step-by-step explanation:
first, divide 357/17 to find the unit rate, which is $21/hour, then multiply 21*9 to find how much she would make in 9 hours. 21*9 = 189, so she would make $189.
Can someone divide these two? I forgot how to over quarantine and it’s my sisters homework
Answer:
Step-by-step explanation:
Question for Tejkmurray !!!
Please anyone help me with this one QUICKLY It has a timer!
Answer:
b) SSA
Step-by-step explanation:
come on !
SAS means side-angle-side. that means 2 sides with included angle. we don't have this here.
SSA means side-side-angle. 2 sides and an angle. that is what we have here.
ASA means angle-side-angle. 2 angles with the side between them. that is not the case here.
A store sold 250 shirts last week. The sales increased by 15% this week.
Find the sales volume for this week.
Answer:
288
Step-by-step explanation:
quick calculator use
15% of 250 is 37.5
add that to 250 to get 287.5
can't sell half a shirt so the answer is 288
Which sentence about evaluating expressions is FALSE? Once an expression is in simplest form, replace the variables with the given numerical values. The value of the expression is the same each time you evaluate it. Follow the order of operations when evaluating an expression. Fully simplify the expression first.
The false statement about evaluating expressions is: Fully simplify the expression first.
The order of operations is:
1. Parentheses
2. Exponents
3. Multiplication and Division (left to right)
4. Addition and Subtraction (left to right)
While simplifying an expression is an important step when evaluating it, it is not always necessary to fully simplify it before substituting numerical values. In fact, it can sometimes make the process more complex.
Instead, it is usually more efficient to follow the order of operations when evaluating expressions, which is a set of rules that defines the order in which operations are performed.
By following these rules, we can determine which operations to perform first and simplify the expression one step at a time. Then, we can substitute the numerical values for the variables and simplify the expression further to obtain the final result.
So, while fully simplifying an expression can be helpful in some cases, it is not always necessary when evaluating expressions, and following the order of operations is usually a more effective approach.
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if we are testing for the difference between the mean of two independent populations with samples of n1=20 and n2=20 the number of degrees of freedom is qual to
using a maximum rate of climb how much fuel would be used from engine start at 6,000 feet pressure altitude
If we climb from 6,000 feet to 10,000 feet using maximum rate of climb in a Cessna 172 with a Lycoming O-360 engine, we would use approximately 2.14 pounds of fuel
To calculate the fuel usage during a climb, we need to know the specific fuel consumption (SFC) of the engine, which is typically measured in pounds of fuel per hour per unit of engine power (usually horsepower or thrust). We also need to know the rate of climb, which is typically measured in feet per minute (fpm).
Assuming we have this information, we can calculate the fuel usage during a climb using the following formula:
Fuel used = (SFC * engine power * time) / 60
where SFC is the specific fuel consumption, engine power is the power output of the engine during the climb, and time is the duration of the climb in minutes.
For example, let's say we have a Cessna 172 with a Lycoming O-360 engine, and we want to calculate the fuel usage during a climb from 6,000 feet to 10,000 feet using maximum rate of climb. According to the aircraft's performance charts, the maximum rate of climb at this altitude is 700 fpm, and the engine's SFC at maximum power is 0.5 lb/hp/hr.
Assuming the aircraft is at maximum gross weight and the engine is producing maximum power during the climb, we can calculate the fuel usage as follows:
Engine power = 180 hp (maximum power output of the Lycoming O-360)
Time = (10,000 ft - 6,000 ft) / 700 fpm = 5.7 minutes
Fuel used = (0.5 lb/hp/hr * 180 hp * 5.7 min) / 60 = 2.14 lbs of fuel
Therefore, if we climb from 6,000 feet to 10,000 feet using maximum rate of climb in a Cessna 172 with a Lycoming O-360 engine, we would use approximately 2.14 pounds of fuel. Keep in mind that this is just an example, and the actual fuel usage may vary depending on the specific conditions and configuration of the aircraft and engine.
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Please help I have limited time.
What is the purpose of multiplying by the complex conjugate of the denominator when finding the quotient of complex numbers?
(answer options in picture)
Answer:
Answer is B.
Hope this helps.
SOMEONE PLZZZZZ HELP!
Select the choice that translates the following verbal phrase correctly to algebra:
the product of 12 and y increased by 11
Step-by-step explanation:
( 12 × y ) + 11
The product of 12 & y = 12 × y
Increasing = adding = (12×y) + 11
12y + 11.
Find the 100th term for the sequence: -10, – 15, -20, - 25, ...
,
Step-by-step explanation:
please mark me as brainlest
Answer:
-505
Step-by-step explanation:
First term is -10, second is -15, third -20, fourth -25, and so on. Here, this is a pattern. Every question having pattern also have a formula to solve it. To solve this question first you need to understand the pattern. In this pattern it is adding -5. First term is -10, so if we add -5 to -10 we will get the second term that is -15, and to get third term add -5 to the result with the previous number that will -15 + -5 = -20. So, now we are confirm that to get the next term we have to add -5 to the previous number. Here, we have to find the hundredth term. So, if we add -5 with the result hundred times it will take time. So, we need to solve this with the help of a formula. The formula according to me is, -5 × term number + (-5). Before finding the term which is not given in the question, we have to try this formula with the terms given in the question to know whether the formula is correct✅ or not❌. So, first we will find the first term using the formula.
= -5 × 1 + (-5)
= -5 + (-5)
= -10
We got the first term and it is correct but, I am finding all terms given in this question using the formula to show that the formula is correct.
Second term using formula
= -5 × 2 + (-5)
= -10 + (-5)
= -15
Third term using formula
= -5 × 3 + (-5)
= -15 + (-5)
= -20
Fourth term using formula
= -5 × 4 + (-5)
= -20 + (-5)
= -25
Now, I think you know how to find 100th term. To find 100th term, multiply -5 with 100 then add -5 to the result.
= -5 × 100 + (-5)
= -500 + (-5)
= -505
If you want to find more terms you can find it using the formula.
If you did not understood my explanation or my answer is incorrect than sorry, you can report my answer. But, if you understood than tell me in comment or please give me a Thanks.
If you think my answer is incorrect, before reporting it you should find the 100th term using long method by only adding -5 till you find the 100th term to check my answer.
Cameron’s friends tells him of another service that has a 15$ joining fee but charges $0.80 per song. At what number of songs does this new service become a less expensive option than Cameron’s current service
Based on Cameron's current music service fees, the number of songs that would make the new service a less expensive option is 101 songs
What number makes the service less expensive?The expression for the new service assuming the number of songs is x is:
= 15 + 0.80x
The expression for Cameron's current service is:
= 0.95x
Equating them gives:
0.95x = 15 + 0.8x
0.95x - 0.8x = 15
0.15x = 15
x = 100 songs
The cost will be the same at 100 songs so the new service would be cheaper at 101 songs.
First part of question:
Cameron pays $0.95 per song with his current music service.
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1. Find the exact values of each of the six trigonometric functions of an angle θ, if (-3,3) is a point on its terminal side. 2. Given that tan θ = and sin θ <0, find the exact value of each of the remaining five trigonometric functions of θ.
Finding the six trigonometric functions of θ: Since (-3,3) is a point on the terminal side of θ, we can use the coordinates of this point to determine the values of the trigonometric functions.
Let's label the legs of the right triangle formed as opposite = 3 and adjacent = -3, and use the Pythagorean theorem to find the hypotenuse.
Using Pythagorean theorem: hypotenuse² = opposite² + adjacent²
hypotenuse² = 3² + (-3)²
hypotenuse² = 9 + 9
hypotenuse² = 18
hypotenuse = √18 = 3√2
Now we can calculate the trigonometric functions:
sin θ = opposite/hypotenuse = 3/3√2 = √2/2
cos θ = adjacent/hypotenuse = -3/3√2 = -√2/2
tan θ = opposite/adjacent = 3/-3 = -1
csc θ = 1/sin θ = 2/√2 = √2
sec θ = 1/cos θ = -2/√2 = -√2
cot θ = 1/tan θ = -1/1 = -1
Therefore, the exact values of the six trigonometric functions of θ are:
sin θ = √2/2, cos θ = -√2/2, tan θ = -1, csc θ = √2, sec θ = -√2, cot θ = -1.
Part 2: Finding the remaining trigonometric functions given tan θ and sin θ:
Given that tan θ = and sin θ < 0, we can deduce that θ lies in the third quadrant of the unit circle where both the tangent and sine are negative. In this quadrant, the cosine is positive, while the cosecant, secant, and cotangent can be determined by taking the reciprocals of the corresponding functions in the first quadrant.
Since tan θ = opposite/adjacent = sin θ/cos θ, we have:
sin θ = -1 and cos θ =
Using the Pythagorean identity sin² θ + cos² θ = 1, we can find cos θ:
(-1)² + cos² θ = 1
1 + cos² θ = 1
cos² θ = 0
cos θ = 0
Now we can calculate the remaining trigonometric functions:
csc θ = 1/sin θ = 1/-1 = -1
sec θ = 1/cos θ = 1/0 = undefined
cot θ = 1/tan θ = 1/-1 = -1
Therefore, the exact values of the remaining five trigonometric functions of θ are:
sin θ = -1, cos θ = 0, tan θ = -1, csc θ = -1, sec θ = undefined, cot θ = -1.
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HELPPPPP ITS URGENT
Why is one half bigger than third?
Answer:
1/2 = 3/6 and 1/3 = 2/6
Step-by-step explanation:
we need to make the denominators the same to be able to compare
Please help me desperate......
Answer:
m
Step-by-step explanation:
to investigate whether the consumption of beetroot juice enhances exercise performance, a researcher selected a random sample of 50 student athletes from all the student athletes at a college. the athletes in the sample were randomly assigned to one of two groups. in one group, 25 athletes were given a daily dose of beetroot juice, and in the other group, the remaining athletes were given a daily dose of a placebo. at the end of six weeks of exercise training, the researcher compared the performances of the two groups. based on the design of the investigation, which of the following is the largest population to which the results can be generalized?
(A) The 25 student athletes assigned to the beetroot juice group (B) The 50 student athletes in the sample (C) All student athletes at the college (D) All students at the college (E) All people who exercise
The largest population to which the results can be generalized is in option C i.e. All student-athletes at the college.
Population: A population can be described as a complete group with at least one characteristic in common and a sample of the population can be used to get the features of the population.
We were told that a random sample of 50 student-athletes from all the student-athletes at a college, even though the population can be used to have an idea about how the consumption of beetroot juice enhances exercise performance, and it can not be used to get the results that can be generalized as more than 50 students-athletes is required which is chosen randomly.
All the other options are wrong because of this reason.
Therefore, option C is correct.
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Please I need help!!!
Answer:
Solution given:
for second
we have
f(x)=x²-9x-36
let
y=x²-9x-36
when
x=0
y=-36
when
y=0
0=x²-9x-36
x²-12x+3x-36=0
x(x-12)+3(x-12)=0
(x-12)(x+3)=0
either
x=12
x=-3
So,
x and y intercepts are (-3,0)(12,0) and 0,-36)
THIS IS DUE SOON PLEASE GIVE ME A HAND!! THANK YOU
Answer:
only one solulton and its 7
Step-by-step explanation:
x=7/2,y=7