The standard form of the given number is (5 × 10⁻³)/6.
What do we mean by standard form?The standard form of a number is a method of writing the number that adheres to certain rules. Standard form refers to any number that can be written as a decimal number between 1.0 and 10.0 multiplied by a power of ten.The standard form of 0.005/6 is:
= 0.005/6= (5/1000)/6= (5/10³)/6= (5 × 10⁻³)/6Therefore, the standard form of the given number is (5 × 10⁻³)/6.
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1-tanA÷1+tanA=1-sin2A÷cos2A
hope u get it. I've used RHS to prove LHS
My new car cost $35,000 but it will depreciate by 8% annually, how much will my car be worth when I trade it in 4 years?
Exponential Growth and Decay
The future value of a car after four years is $26984.64
To calculate the future value of the car we need to account for the depreciation provided on the fixed asset.
Pv= $35000
Rate=8% annually
By using the formula
Future Value = Present Value * (1 - Depreciation Rate)^Number of Years
we get,
Future value= 35000*(1-0.008)^4
By simplifying this, We get,
Future value= $26984.64
Therefore, The future value of the car after 4 years is $26984.64
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Does the table represent a function or not?"
Write the expression using exponents 5.2 • y • y • y =
Answer:
5.2y^3
Step-by-step explanation:
There are 3 y's which can be presented as y^3
5.2 times y^3 = 5.2y^3
( By the way, " ^ " is a square root sign )
solve each equation in the real number system
Step-by-step explanation:
\( - x {}^{3 } - {x}^{2} + x + 1\)
\( - {x}^{2} ( x + 1) + 1(x + 1)\)
\((1 - {x}^{2} )(x + 1) = 0\)
\((1 - x)(1 + x)(x + 1) = 0\)
\(1- x = 0\)
\(x = 1\)
\(1 + x = 0\)
\(x = - 1\)
\(x = - 1\)
So we have the answer of
-1 and 1.
as the size of the sample increases, what happens to the shape of the distribution of sample means?
The standard deviation will increase with the sample size, becoming n ≥ 30.
What is the central limit theorem?
The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.
What is the standard deviation?
The standard deviation measures a set of values' variance or dispersion. While a high standard deviation suggests that the values are dispersed throughout a broader range, a low standard deviation indicates that the values tend to be close to the established mean.
According to the theory for the central limit, when large samples are drawn from each community, with and confidence interval, the sample distribution of means may be close to the interval, regardless of the underlying population demographics. The stronger the approach, the larger the sample (typically n≥30).
The sample is significant unless the population is not regularly distributed.
Therefore, if the sample size increases the standard deviation will be n≥30.
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A plant food company recommends mixing a teaspoon of food with every gallon of water and only adding a
teaspoon when the water level goes above the next whole gallon
Which graph models the number of teaspoons of food depending on the amount of water?
Answer:
The answer is A. Edge 2022. Hope this helps
Step-by-step explanation:
The next closest one would've been C. But they asked for the teaspoons based on the amount of water not over a constant period of time. So A is right.
Answer:
A
Step-by-step explanation:
find the probability of the following hand at poker. what is the probability of being dealt 4, 5, 6, 7, and 8, not necessarily in the same suit?
The probability of being dealt 4, 5, 6, 7, and 8, not necessarily in the same suit is 0.00039.
The cards 4,5,6,7, and 8 are given to us. We must figure out the probability of obtaining these cards in a deal. As we already know, probability equals the number of possible card selection methods divided by the total number of possible card selection methods. The amount of card selection options will therefore be determined initially.
We know that there are four cards of each number, 4, 5, 6, 7 and 8, in a deck of 52 cards. This means that there will be an equal number of possibilities to choose one card from the decks of 4, 5, 6, 7 and 8 when raised to the power of five.
Possible ways= 4^5= 1024
Total selection= C(52,5)= 2598960
Probability of being dealt with 4, 5, 6, 7, and 8 is 1024/2598960 which is equal to 0.00039.
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heyy i need ur help plz
Answer:
- 1/3
Step-by-step explanation:
3x-4 = -5
3x = -5 + 4
3x = -1
x = -1/3
Huong invests $4,817 in a savings account
with a fixed annual interest rate of 3%
compounded 2 times per year. What will
the account balance be after 12 years?
Answer:
Huong invests $4,817 in a savings account with a fixed annual interest rate of 3% compounded 2 times per year. This means that the interest is calculated every 6 months and added to the principal amount. The interest rate for each 6-month period is 1.5%.
After 12 years, the account balance will be:
$4,817 * (1 + 0.015)^24 = $6,245.46
The account balance will be $6,245.46 after 12 years.
A snowgoose flies directly south for winter a distance of 250 km. In summer the snowgoose flies north 250 km. a. Draw and label and write vector equations for the two flights. b. What total distance did the snowgoose fly. c. What is the displacement (final position relative to the initial position) of the snowgoose for the winter flight? Write a vector equation d. What is the displacement of the snowgoose for the summer flight? Write a vector equation. e. What is the total displacement after the two flights? Write an equation to establish your answer. f. What is the mathematical and geometric (vector arrows) relationship between the two displacement vectors of answers (c \& d)?
A snowgoose flies 250 km south for winter and returns 250 km north for summer. The total distance flown is 500 km, while the displacement after both flights is zero.
In the first flight, the snowgoose flies directly south for winter, covering a distance of 250 km. This can be represented by the vector equation: Winter Flight = -250 km (south).
In the second flight, during the summer, the snowgoose flies directly north for 250 km. This can be represented by the vector equation: Summer Flight = 250 km (north).
The total distance flown by the snowgoose is the sum of the distances covered in both flights: 250 km + 250 km = 500 km.
The displacement of the snowgoose for the winter flight is zero since it returns to its initial position. This can be represented by the vector equation: Displacement (Winter) = 0 km.
Similarly, the displacement of the snowgoose for the summer flight is also zero as it returns to its initial position. This can be represented by the vector equation: Displacement (Summer) = 0 km.
The total displacement after the two flights is zero, as the snowgoose ends up at the same position it started. This can be represented by the equation: Total Displacement = Displacement (Winter) + Displacement (Summer) = 0 km + 0 km = 0 km.
Mathematically and geometrically, the relationship between the two displacement vectors (Displacement Winter and Displacement Summer) is that they cancel each other out, resulting in a net displacement of zero.
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The number of randomly presented items children can repeat immediately after the items are presented is
The number of randomly presented items that children can repeat immediately after the items are presented is called their immediate memory span or short-term memory capacity.
The number of randomly presented items that children can repeat immediately after the items are presented is called their immediate memory span or short-term memory capacity.
The capacity of short-term memory is limited and varies from person to person and depending on the complexity of the information being presented.
The typical range of immediate memory span for children is around 5 to 9 items, with older children and adults having a slightly larger capacity.
However,
Some individuals with exceptional memory abilities, such as memory athletes, can recall significantly more items in short-term memory.
Factors that can affect short-term memory capacity include the nature of the items being presented their familiarity or meaningfulness, the duration of the presentation and the individual's level of attention and working memory capacity.
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I rlly need help!
A rectangle, a triangle, and two congruent semicircles were used to form the figure shown.
Which measurement is closest to the area of the figure in square centimeters?
Answer:
79
Step-by-step explanation:
Express the interval set builder notation
Answer:
{x | -1 < x ≤ 2}
Step-by-step explanation:
Interval given in the notation of (a, b) denotes,
Upper limit at 'b' and lower limit at 'a'
Sign () denotes the interval between a and b exclusive of the numbers a and b.
Interval given as [a, b] represents,
a = lower limit
b = higher limit
Notation of [] show the interval inclusive of these numbers.
Given set in the question is (-1, 2]
Here (-1) is the lower limit and 2 is the upper limit.
(] notation shows exclusive of (-1) and inclusive of 2.
Therefore, solution set in set-builder notation will be {x | -1 < x ≤ 2}
Rewrite by completing the square 2x^2+7x+6=0
Answer:
\(2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0\)
Answer:
(x+7/4)^2=1/16
Step-by-step explanation:
Robert ate lunch at 11:am. He ate a snack4and a half hours later. What time did he eat his snack
If Robert ate lunch at 11:am and he ate a snack 4and a half hours later, Robert ate his snack at 3:30 pm
To find out what time Robert ate his snack, we need to add 4 and a half hours to the time he ate lunch.
Since he ate lunch at 11:00 am, we can convert this time to 24-hour format by adding 12 hours to get 11:00 + 12:00 = 23:00.
Next, we add 4 and a half hours to 23:00 by converting the half hour to minutes and adding it to the minutes portion of the time:
23:00 + 4 hours + 30 minutes = 27:30
However, since there are only 24 hours in a day, we need to convert this time back to 12-hour format. To do this, we subtract 12 hours from 27:30 to get 15:30.
Therefore, Robert ate his snack at 3:30 pm (or 15:30 in 24-hour format).
In summary, we added 4 and a half hours to the time Robert ate lunch, converted the resulting time to 24-hour format, subtracted 12 hours to account for the excess of 24 hours, and then converted the time back to 12-hour format to obtain the time Robert ate his snack.
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Rewrite the mixed fraction to a whole fraction. 1 1/2
3/2
2/3
2/2
none of these
Answer:
3/2
Step-by-step explanation:
\(1 \frac{1}{2} \)
i) convert the mixed number to an improper fraction by multiplying the denominator and adding the numerator\( \frac{1 \times 2 + 1}{2} \)
\( \frac{2 + 1}{2} \)
\( \frac{3}{2} \)
Answer:
3/2
To convert 11/2 to a whole fraction
you multiply
the whole number (1) with the denominator (2) and add the numerator
1×2+1/2
=3/2
What is true as the spread of scores around the arithmetic mean gets smaller? A. The coefficient of variation gets smaller B. The interquartile range gets smaller. C. The standard deviation gets smaller D. All of the above
The correct answer is D. All of the above. When the spread of scores around the arithmetic mean gets smaller, it means that the data points are closer to the mean.
This has several implications:
A. The coefficient of variation (CV) gets smaller: The coefficient of variation is the ratio of the standard deviation to the mean. When the standard deviation decreases (due to smaller spread of scores), the CV also decreases.
B. The interquartile range (IQR) gets smaller: The IQR represents the range between the first quartile and the third quartile. When the spread of scores decreases, the values at the first and third quartiles are closer together, resulting in a smaller IQR.
C. The standard deviation gets smaller: The standard deviation measures the average distance of data points from the mean. As the spread of scores decreases, the data points are closer to the mean, resulting in a smaller standard deviation.
In summary, when the spread of scores around the arithmetic mean gets smaller, the coefficient of variation, interquartile range, and standard deviation all decrease.
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if someone does the rest of this homework for me i will give them a cookie and a kiss and i will do branlyiest and give u alot of points
Answer:
all you have to do id divide each side by the lowest number thats the why where im from taght me
Step-by-step explanation:
Answer:
divide each side by the lowest number and that should give you the answer u want and me the relationship i need lol
Step-by-step explanation:
Can you please help me?
Answer:
1 = 3
2 = 6
3 = 9
Step-by-step explanation:
for every # it is multiplied by 3 (ex. 7 • 3 = 21, 8 • 3 = 24, ect.)
therefore if it is multiplied by 3 each time
then 1 • 3 = 3
2 • 3 = 6
and 3 • 3 = 9
hope this helps :)
Look at this graph:
What are the coordinates of the vertex?
Answer:
the coordinates are (-3,-4)
-3 is the x-axis and -4 is the y-axis
What is the equation of a circle with a center (−8, 3) and radius of 8?
HELP!!!!!
(x − 8)2 + (y + 3)2 = 8
(x + 8)2 + (y − 3)2 = 8
(x − 8)2 + (y + 3)2 = 64
(x + 8)2 + (y − 3)2 = 64
Answer:
(x + 8)^2 + (y - 3)^2 = 64
Step-by-step explanation:
The equation of a circle with a center of (-8,3) and radius of 8 is:
(x + 8)^2 + (y - 3)^2 = 64
You can see that the center of the circle is represented by the point (-8,3) in the equation, and the radius is represented by the value on the right side of the equation (64) which is derived from 8^2
Describe the translation in j(x)=(2x)+3 as it relates to the graph of the parent function?
Answer:
Horizontal compression by a factor of 2 followed by a vertical shift by positive 3
Step-by-step explanation:
a*f(k(x-d))+c
k=2
c=3
sat math scores follow a normal distribution with a mean of 511 and a standard deviation of 110. suppose we choose a student at random. what is the probability that the student scores between 450 and 600?
The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.
To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.
First, we need to standardize the values of 450 and 600 using the formula:
z = (x - μ) / σ
where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.
For 450:
z = (450 - 511) / 110 = -0.55
For 600:
z = (600 - 511) / 110 = 0.81
Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.
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Please respond to the following:How do outliers affect parameters, errors, variance and standard deviation of a sample?Are z-scores of a sample that lie in-between -1.96 and +1.96 considered outliers? Please explain.Why do we use standard error rather than standard deviation when calculating the z-scores for skewness and kurtosis?
Outliers have a significant impact on a sample's parameters, errors, variance, and standard deviation. Instead of being regarded as outliers, Z-scores between -1.96 and +1.96 represent values that fall within the expected range.
Outliers can have a significant impact on the parameters, errors, variance, and standard deviation of a sample. Parameters, such as the mean and standard deviation, are influenced by outliers because they are sensitive to extreme values. Outliers can pull the mean towards their value, resulting in a biased estimate.
Similarly, outliers can inflate the variance and standard deviation, making them less representative of the majority of the data. Z-scores are a measure of how many standard deviations a data point is away from the mean. Z-scores falling between -1.96 and +1.96 (corresponding to approximately the 95% confidence interval) are not considered outliers.
These z-scores represent data points within a range that is expected and common for normally distributed data. Outliers are typically defined as data points that fall beyond a certain threshold, often defined as three standard deviations from the mean. When calculating z-scores for skewness and kurtosis, we use standard error instead of standard deviation.
This is because standard error takes into account the sample size and provides an estimate of the variability of the statistic being calculated. Since skewness and kurtosis are sample statistics, the standard error is used to assess the precision of these statistics in representing the corresponding population parameters.
In conclusion, outliers can greatly affect the parameters, errors, variance, and standard deviation of a sample. Z-scores falling between -1.96 and +1.96 are not considered outliers but rather represent values within the expected range.
Standard error is used when calculating z-scores for skewness and kurtosis to account for the sample size and provide a measure of precision for these statistics.
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Please see attachment below, 40 points!!!
Answer: I would say 68 i believe this because if i do remember correctly you have to make it equal 192 and 68 did that.
Step-by-step explanation: Sorry if im wrong.
Self-confidence is an attitude about your skills and abilities. It means you accept and trust yourself and have a sense of control in your life. You know your strengths and weakness well, and have a positive view of yourself. You set realistic expectations and goals, communicate assertive
What is 5/3 divide -6/7 =?
Answer:
its 3/4 i belive is the answer
Step-by-step explanation:
Answer:
-15/38
Step-by-step explanation:
positive divide by a negative is a negative
Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word
Using a line of best fit with the equation y = -3x+21 to predict the value of y when x = 10 is an example of
Choose...
correlation
extrapolation
interpolation
causation
This type of prediction is extrapolation
Give the equation for the line of best fit expressed as:
y = -3x + 21
If x = 10, substitute the value of x into the function to get y
y = -3(10) + 21
y = -30 + 21
y = -9
This type of prediction is extrapolation. Extrapolation has to do with estimating a value given that a particular variable is given.
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solve the system of inequalities by graphing and indicate all of the integers that are in the set: 3-2a<13, 5a<17
Thus, the shaded region is the set of solutions for this system of inequalities, and the integers in this region are -4, -3, -2, -1, 0, 1, 2, and 3.
To solve the system of inequalities by graphing, we first need to rewrite each inequality in slope-intercept form, y < mx + b, where y is the dependent variable (in this case, we can use y to represent both 3-2a and 5a), m is the slope, x is the independent variable (in this case, a), and b is the y-intercept.
Starting with the first inequality, 3-2a < 13, we can subtract 3 from both sides to get -2a < 10, and then divide both sides by -2 to get a > -5. So the slope is negative 2 and the y-intercept is 3. We can graph this as a dotted line with a shading to the right, since a is greater than -5:
y < -2a + 3
Next, we can rewrite the second inequality, 5a < 17, by dividing both sides by 5 to get a < 3.4. So the slope is 5/1 (or just 5) and the y-intercept is 0. We can graph this as a dotted line with a shading to the left, since a is less than 3.4:
y < 5a
To find the integers that are in the set of solutions for this system of inequalities, we need to look for the values of a that satisfy both inequalities. From the first inequality, we know that a must be greater than -5, but from the second inequality, we know that a must be less than 3.4. So the integers that are in the set of solutions are the integers between -4 and 3 (inclusive):
-4, -3, -2, -1, 0, 1, 2, 3
To see this graphically, we can shade the region that satisfies both inequalities:
y < -2a + 3 and y < 5a
The shaded region is the set of solutions for this system of inequalities, and the integers in this region are -4, -3, -2, -1, 0, 1, 2, and 3.
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Anita’s mother is 5 times older than Anita and Anita is twice as old as his sister Rita. In two years
time, the sum of their ages will be 58. How old is Anita now?
Answer:
Anita is 8.-----------------------
Let Anita be x now.
Her mother is 5 times older and in two years time she will be 5x + 2.
Rita is half the age of Anita and in two years time she will be (x/2) + 2.
The sum of ages after two years will be 58:
5x + 2 + x + 2 + (x/2) + 2 = 586x + x/2 = 5213x/2 = 52x = 52*2/13x = 8Anita is 8 years old.