What is the solution set for -4x – 10 < 2?
А х-3
в х2-3
с х< 2
D x 2
Find the time during the which €3600 gives an interest of € 1080 at the rate 6% per annum
Answer:
5 years
Step-by-step explanation:
\(interest = \frac{prt}{100} \)
\(1080 = \frac{3600 \times 6 \times t}{100} \)
\( \frac{1080 \times 100}{3600 \times 6} = t\)
108000/21600 = t
time = 5 years
The diagram shows 3 points, A, B and C, on a circle, centre O.
AC is a diameter of the circle.
B
Angle BAO is aº and angle BCO is yº
What is the size of angle ABC?
Answer:
90 degrees
Step-by-step explanation:
the centre angle of the triangle is 180°.
ABC is its circumference angle, that is half the centre one
For the following set of scores: 6, 2, 3, 0, 4 If these scores are a population, what are the variance and standard deviation?
Answer:
the population variance is 2 and the population standard deviation is approximately 1.41.
Step-by-step explanation:
To calculate the variance and standard deviation of a population, you can use the following formulas:
Population variance = (Σ(x - μ)²) / N
Population standard deviation = √(Σ(x - μ)² / N)
Where:
Σ is the sum of
x is each individual score in the population
μ is the population mean
N is the number of scores in the population
To begin, we need to find the population mean (μ):
μ = (6 + 2 + 3 + 0 + 4) / 5 = 3
Next, we can calculate the variance:
Population variance = ((6-3)² + (2-3)² + (3-3)² + (0-3)² + (4-3)²) / 5
Population variance = (9 + 1 + 0 + 9 + 1) / 5
Population variance = 2
Finally, we can calculate the standard deviation:
Population standard deviation = √((6-3)² + (2-3)² + (3-3)² + (0-3)² + (4-3)²) / 5
Population standard deviation = √(9 + 1 + 0 + 9 + 1) / 5
Population standard deviation = √2
Therefore, the population variance is 2 and the population standard deviation is approximately 1.41.
The variance of the given set of scores is 4 and the standard deviation is 2. Both are measures of how spread out the data is in statistics. The variance is calculated by acquiring the average squared deviation from the mean, while the standard deviation is the square root of the variance.
Explanation:This is a question about the notions of variance and standard deviation in statistics. Variance is a measure of how spread out the numbers in a data set are. Standard deviation, on the other hand, is the square root of the variance, indicating the amount of deviation (or variation) you can expect in your data.
Here are the steps for calculating variance and standard deviation for given set of scores: 6, 2, 3, 0, 4
To calculate the variance: Find the mean (average) of the data set: (6 + 2 + 3 + 0 + 4) / 5 = 3 Subtract the mean from each data point and square the result: (6-3)² = 9, (2-3)² = 1, (3-3)² = 0, (0-3)² = 9, (4-3)² = 1 Add up those squared results: 9 + 1 + 0 + 9 + 1 = 20 Divide by the number of data points: 20 / 5 = 4. So the variance (σ²) of this population is 4. To calculate the standard deviation: Take the square root of the variance: √4 = 2. Hence, the standard deviation (σ) of this population is 2. Learn more about Variance and Standard Deviation here:
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if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
Greatest Least А B С D E |-2.25 | 3 | 2.5| -3 0
Explanation:
A and C are positive, because:
\(\begin{gathered} |-2.25|=2.25 \\ |2.5|=2.5 \end{gathered}\)Negative numbers are less than zero, so -3 is less than zero
Answer:
DEACB
If a student gets an 89% on a test, this would be what type of score? a. true score b. observed score c. false score d. error score.
If a student gets an 89% on a test, this would be considered an observed score.
In the context of test scoring, different types of scores are used to evaluate a student's performance.
- True score: The true score represents the student's actual or underlying ability on the test. It is the hypothetical score that would be obtained if all measurement errors were eliminated. However, the true score is typically unknown and cannot be directly measured.
- Observed score: The observed score is the score that is actually obtained by the student on the test. It is based on the student's performance and reflects their achievement or outcome on the test.
- False score: The term "false score" is not commonly used in the context of test scoring. It does not have a specific meaning related to the interpretation of test scores.
- Error score: The error score refers to the discrepancy between the true score and the observed score. It represents the measurement error or uncertainty associated with the test administration and scoring process. The error score reflects the extent to which the observed score deviates from the true score due to factors such as test administration conditions, scoring errors, or other sources of measurement variability.
In this case, an 89% on a test would be considered an observed score because it represents the actual score obtained by the student based on their performance on the test.
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What is the volume of this rectangular prism?
3 1/2 1/2
Answer:
0.75
Step-by-step explanation:
V=whl=0.5·3·0.5=0.75
Divide 1 by 2 and you get 0.5
17. Write interval notation for the given graph.
Answer:
D
Step-by-step explanation:
The interval notation for the graph :
-5 ≤ x ≤ 7[5, 7]A group of people were asked if they had run a red light in the last year. 290 responded "yes", and 177 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.
Answer:
0.621
Step-by-step explanation:
Number of people that have run a red light in the last year = 290
Number of people that have not run a red light in the last year = 177
Total number of respondents = 290 + 177
= 467
Pr(if a person is chosen at random, they have run a red light in the last year) = \(\frac{number of people who has run the red light last year}{total number of respondents}\)
= \(\frac{290}{467}\)
= 0.621
The probability that if a person is chosen at random, they have run a red light in the last year is 0.621.
Question 9 of 10 What is the slope of the line shown below? A. 4 B.-1/4 C.1/4 D.-4
Answer:
c = 1/4
-1-1 = -2
-3-5 = -8
Step-by-step explanation:
i flip a coin 10 times and record the proportion of heads i obtain. i then repeat this process of flipping the coin 10 times and recording the proportion of heads obtained many, many times. when done, i make a histogram of my results. this histogram represents group of answer choices the sampling distribution of the proportion of heads in 10 flips of the coin. the true population parameter. simple random sampling. the bias, if any, that is present. a binomial distribution.
The histogram represents the sampling distribution of the proportion of heads in 10 flips of the coin, which is an example of a binomial distribution.
In this scenario, the parameter of interest is the true population proportion of heads in a coin flip. The process of flipping the coin 10 times and recording the proportion of heads is an example of a binomial distribution, where each flip is a Bernoulli trial with a probability of success (getting heads) of 0.5.
By repeating this process many times and creating a histogram of the results, we are creating a sampling distribution of the proportion of heads in 10 flips of the coin. This allows us to see the variability of the proportion of heads we could get from different samples of the same size.
If we are using simple random sampling, meaning each possible sample of 10 coin flips has an equal chance of being chosen, then there should be no bias present in our results. However, if we are using a different sampling method, such as convenience sampling, there could be a bias present in our results.
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solve for x 8(x+9)= -9x+21
Answer:
x = -3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-3
Step-by-step explanation:
Under his cell phone plan, omar pays a flat cost of $61 per month and $5 per gigabyte. He wants to keep his bill under $70 per month. Which inequality can be used to determine gg, the maximum number of gigabytes omar can use while staying within his budget?.
The maximum number of gigabytes Omar can use while staying within his budget the inequality $70 >= $61 + $5x.
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
The only variable with the values given is how many gigabytes. Given that Hunter does not want to spend more than $70, the total cost of the flat fee plus the value of the gigabytes purchased must be less than or equal to $70. Therefore, the inequality that follows best sums up this situation.
The $70 >= $61 + $5x.
Hence, the inequality $70 >= $61 + $5x.
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x = -3y - 17 2x + 3y = -7
Answer:
x = 10
y = -9
Step-by-step explanation:
x = -3y - 17
2x + 3y = -7
Plug in x
2 (-3y - 17) + 3y = -7
-6y - 34 + 3y = -7
-3y = 27
y = -9
Plug in the value you got for y back into the equation to find the x value
x = -3(-9) - 17
x = 10
Help please !!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
You're looking for where f(1) exists, not the limit as x approaches 1. So where f(1) exists is where the dark point is, not where the hole is. Therefore, f(1) = -6.
What is the fractional equivalent of the repeating decimal n = 0.1515... ? Answer the questions to find out.
1. How many repeating digits does the number represented by n have? (2 points)
ill give 25 points and maybe brainlist
The fractional equivalent of the repeating decimal n = 0.15.15.. is
15/99. And the number represented by n has two repeating digits that is 15.
Given, repeating decimal n = 0.1515..
We must come up with a strategy to eliminate the recurring portion before converting what is left into a fraction. We can benefit from the repetition on our behalf.
set x = 0.151515 ...eq(1)
the 15 is a recurring number means that those two digits keep repeating forever.
so
100x = 15.151515.. eq(2)
Subtract eq(2) from eq(1).
100x = 15.151515
x = 0.151515
we get, 99x = 15
hence x = 15/99
Therefore, the equivalent of the repeating decimal is 15/99.
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help me on this question about slopes
Answer:
m = 2
Step-by-step explanation:
to find the slope you must find (rise)/(run)
the rise is how much it goes up
the run is how much it goes to the right
in this case
it goes up 2 for every 1 to the right
so
(2/1) or just 2 is the slope
PLEASE HELP Consider the expression 4x + 15. Write a real-world problem that can be solved using the expression. What does the variable represent in this problem?
What type of function has an asymptote?
A function can have an asymptote if it approaches a horizontal or vertical line but never touches it. There are several types of functions that can have asymptotes, including rational functions, exponential functions, and logarithmic functions.
For example, a rational function is a function that can be written in the form of a ratio of two polynomials. These functions can have horizontal asymptotes if the degree of the denominator is greater than the degree of the numerator, and they can have vertical asymptotes if the denominator has a factor that is not present in the numerator.
Exponential functions can have horizontal asymptotes if the base of the exponent is less than 1, and they can have vertical asymptotes if the base of the exponent is greater than 1.
Logarithmic functions can have horizontal asymptotes if the base of the logarithm is less than 1, and they can have vertical asymptotes if the base of the logarithm is greater than 1.
It's also possible for a function to have both horizontal and vertical asymptotes, depending on its form.
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If the exponent's base is less than 1, an exponential function may have a horizontal asymptote; if it is greater, a vertical asymptote may occur.
If the base of the logarithm is less than 1, a logarithmic function may have a horizontal asymptote, and if the base is greater, a vertical asymptote.
What’s 35300 in scientific notation?
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 35,300 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 35,300
New Number: 3.5300
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 3 . 5 3 0 0
Decimal Count: 1 2 3 4
There are 4 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 3.53 (Please notice any zeroes on the end have been removed)
b = 4
Now the whole thing:
3.53 x 104
Step 4
Check your work:
104 = 10,000 x 3.53 = 35,300
16. A farmer wants to build a rectangular pasture that has an area represented by 20x6y5. He has
enough room for the length to be 5x³y4. How wide would he need to make the pasture?
The width he need to make the pasture with the given rectangle is 4x³y⁶.
How does area of a rectangle, and its length and width are related?
Area of a rectangle is the product of its length and width.
If a rectangle has length L units and width of W units, then
Area = L × W squared units.
We are given that;
Area= 20x6y5
Length= 5x³y4
We can start by using the formula for the area of a rectangle:
Area = length x width
We know that the area of the rectangular pasture is 20x6y5, and we know the length is 5x³y4. So we can plug in these values and solve for the width:
20x6y5 = (5x³y4) x width
To solve for width, we can divide both sides by 5x³y4:
width = 20x6y5 / (5x³y4)
Simplifying the expression on the right-hand side, we can divide each term in the numerator by 5x³y4:
width = (4x³y¹) x (4y5)
Simplifying further, we can add the exponents of the common factor y:
width = 4x³y⁶
Therefore, the farmer would need to make the width of the rectangular pasture will be 4x³y⁶.
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Given sd(x)=3, what is sd(0.3x+1.8)?
Answer:
sd = 2.7
Step-by-step explanation:
sd(0.3x+1.8) sd(x) = 3
sd(0.3(3) + 1.8)
sd(0.9 + 1.8)
sd = 2.7
If a triangle measures 180 degrees, and you know that one of your angles = 90, and another angle = 45, what is the measure of the third angle?
Answer:45
Step-by-step explanation:
Well just take the sim of the two given angles then subtract them from the total measure of the triangle which is 180
Please Help!!!!!!!!!!!!1
Mr. Dykstra is using a hose to water his garden.
2. 5 quarts of water pours through the hose each
minute, how many gallons of water pour through
the hose in 8 minutes?
A 5
B 16
C 4
The A 5 gallons of water will pour through the hose in 8 minutes.
The formula to be used for calculation of amount of water pouring through hose :
Total amount of water = amount of water pouring per minute × amount of time (in minutes)
Keep the values in formula to find the total amount of water
Total amount of water = 2.5 × 8
Performing multiplication on Right Hand Side of the equation
Total amount of water = 20 quarts
Now performing unit conversion
Amount of water in gallon = amount of water in quarts × 0.25
Amount of water in gallon = 20 × 0.25
Amount of water = 5 gallon
Hence, the correct answer is A 5.
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How do you solve for x?
Answer:
x = 7
Step-by-step explanation:
Because of the Alternate Exterior Angles Theorem, (7x + 1) = 50. (It states that if two lines are parallel, the resulting alternate exterior angles will be congruent)
Now, just solve for x from that equation:
1. 7x + 1 = 50
2. 7x = 49
3. x = 7
Step 1 is the given equation found by using the alternate exterior angles theorem
In Step 2, 1 was subtracted from both sides of the equation
In Step 3, both sides of the equation were divided by 7
Answer:
\(\boxed {x = 7}\)
Step-by-step explanation:
-Both angles labeled measurements are Alternate Exterior Angles. Since both angles with their measurements are Alternate Exterior Angles, then that would mean it equals each other. So, to find the value of \(x\), you need write an expression by using the measurements of both angles and solve for \(x\):
First angle: \(50\textdegree\)
Second angle: \(7x + 1\)
\(50 = 7x + 1\)
-Solve for \(x\):
\(50 = 7x + 1\)
\(7x + 1 = 50\)
\(7x + 1 - 1 = 50 - 1\)
\(7x = 49\)
\(\frac{7x}{7} = \frac{49}{7}\)
\(\boxed {x = 7}\)
Therefore, the value of \(x\) is \(7\).
The perimeter of a square is 4s, where s is the length of one side.
Find the perimeter of the square at the right. Show unit analysis.
7 ft
Answer:
28ft.
Step-by-step explanation:
If \(s\) equals 7 and the perimeter equals 4 times \(s\), then the perimeter would be 4 times 7.
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed.
Answer:
760 kids feel more focused
Step-by-step explanation:
multiply 950 by 80% or .80 (they're the same thing if you didn't know)
hope this helps :)
Point J is on line segment IK. Given JK = 2x - 1,IK = 3x + 2, and IJ = 3x - 5, determine the numerical length of JK. Answer: JK 2 Submit Answer
Answer:
7
Step-by-step explanation:
set up the equation: JK+IJ=IK
(2x-1)+(3x-5)=(3x+2)
calculate the equation and you will get x=4
put 4 into JK
2(4)-1=7