Aliyah wants to estimate the value of the quotient of 5.68 times 10 Superscript negative 3 and 8.54 times 10 Superscript negative 9. Which statement about the value is true? The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1. The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1. The value will be less than 1 because 5.68 divided by 8.54 is less than 1. The negative exponents will make it even smaller. The number will be less than 1 because 5.68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.
Answers
Answer:
b
Step-by-step explanation:
Answer:
b or The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.
Step-by-step explanation:
Related Questions
Laboratory tests show that the lives of
light bulbs are normally distributed with
a mean of 750 hours and a standard
deviation of 75 hours. Find the
probability that a randomly selected
light bulb will last between 750 and 825
hours.
Answer in percentage!!!
Answers
This result is approximate.
=========================================================
Explanation:
mu = 750 = mean
sigma = 75 = standard deviation
The raw scores or x values are x = 750 and x = 825
Let's compute the z score for each x value
z = (x - mu)/sigma
z = (750 - 750)/75
z = 0
and
z = (x - mu)/sigma
z = (825 - 750)/75
z = 1
Therefore P(750 ≤ x ≤ 825) is equivalent to P(0 ≤ z ≤ 1) in this context.
Use a z score table to determine that
P(z ≤ 0) = 0.5
P(z ≤ 1) = 0.84314 approximately
So,
P(a ≤ z ≤ b) = P(z ≤ b) - P(z ≤ a)
P(0 ≤ z ≤ 1) = P(z ≤ 1) - P(z ≤ 0)
P(0 ≤ z ≤ 1) = 0.84314 - 0.5
P(0 ≤ z ≤ 1) = 0.34314 approximately
The value 0.34314 then converts to 34.314% which rounds to 34%
Or you could use the empirical rule as shown below. The pink section on the right is marked 34% which is approximate. This pink section is between z = 0 and z = 1.
oops sorry ;~; here's the picture i took for my recent question i asked (i picked D but i wanna make sure its right thats why thiers a check mark on D)
Answers
Answer:
The answer is not D, it's C.
Step-by-step explanation:
Reasoning:
In answer D, the start of the line begins at 17. However, Marianne ate LESS than 16 ounces of cereal last week. Therefore, the answer cannot be D.
It also cannot be A or B, because the lines are increasing in value instead of decreasing.
The answer to this question is C.
Have a wonderful day :)
1
Which line is pointing to the cell body?
A. 1
B. 2
C. 4
D. 5
2
3
4
5
Image by Dhp 1080
Answers
The line 2 is pointing towards the body of the cell, in the given image of a neuron.
What is cell body?The soma, or cell body, is the spherical part of the neuron that houses the nucleus. The cell body is linked to the dendrites, which transport information to the neuron, and the axon, which sends information to other neurons.
When one neuron receives information from another, the dendrites send it to the cell body. Depending on the signal strength, the cell body may then send the information to the axon.
The cell body's role is to regulate all of the cell's functions. It has several important organelles that aid in this process. Organelles are tiny organelles found within cells that each perform a specific function. The nucleus is the most important organelle within the cell body.
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|-8| - |-6| = ?
-2
2
-14
14
Answers
Absolute value can never be zero
| -8 | = 8
| -6 | = 6
8 - 6 = 2
Hope this helped!
approximately what percentage of children will score within the average range of iq testing? group of answer choices 20% 37% 68% 85%
Answers
The required interval of the given normal distribution using the empirical rule is [100, 140].
The empirical rule formula (also known as a 68 95 99 rule formula) uses data from a normal distribution to determine the first, second, and third standard deviations, which, respectively, differ from the mean value by 68%, 95%, and 99%. Additionally, it shows that 99.9% of the data fall inside the third standard deviation range (either above or below the mean value). The empirical rule formula is described below with cases that have been resolved.
In the question, we are given that IQ scores for adults aged 20 to 34 years are normally distributed according to N(120, 20), and are asked for the range in which the middle 68% of people in this group score on the test.
N(120, 20) signifies a normal distribution with mean, μ = 120, and the standard deviation, σ = 20.
By the empirical formula, 68% of the data lies within one standard deviation from the mean.
Thus, the required interval is [μ - σ, μ + σ] = [120 - 20, 120 + 20] = [100, 140].
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How is the tax base of an area calculated?.
Answers
The total market value of all the assets, properties, and income in a given region or jurisdiction is what is referred to as the tax base. The tax base must be multiplied by the tax rate to determine the overall tax obligation: Tax Base x Tax Rate equals Tax Liability.
Describe the tax base?
The whole amount of income, property, assets, consumption, transactions, or other economic activity that a tax authority is allowed to tax is known as the tax base.
What is tax base formula?
Multiplying the tax base by the tax rate yields the tax obligation. The tax liability divided by the tax rate would be the result. Tax Liability/Tax Rate in the Tax Base Formula.Learn more about tax base
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1) Set up, but do not solve, a system of equations for the following application: A nurse mixes a 100% saline solution with a 20% saline solution to produce 160 milliliters of a 25% saline solution. How much of the 100% saline solution and how much of the 20% saline solution were used?
Answers
The systems of the equations for the word problem can be expressed as:
x + y = 500 --- (1)100x + 20y = 4000 --- (2)What is a system of equations?The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.
From the given information, we are to determine two quantities
i.e.
For 100% saline solution (x) andFor 20% saline solution (y)So, 100% and 20% of saline solution produce 160 millimeters.
x + y = 160
Also, the combination of 100% and 20% of saline solution give an average of 25%.
The average now = sum of numbers/ the total numbers
25% = sum of numbers/160
sum of numbers = 25% (160)
Therefore, we can equate it to the mixture carried out by the nurse.
i.e.
25% (160) = 100%(x) + 20%(y)
100x + 20y = 4000
Therefore, the systems of the equations are:
x + y = 500 --- (1)
100x + 20y = 4000 --- (2)
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The tree in Leila's backyard is 6 meters high. How high is it in centimeters Be sure to include the correct unit?
Answers
Answer:
600 centimeters
Step-by-step explanation:
one meter is 100 centimeters so 6 meters is 600 centimeters :)
1 meter is 100 centimeters so 6 meter is 600 centimeters
Simplify the ratio 18 8
Answers
Answer:
9:4
Step-by-step explanation:
Here is the math to illustrate better:
18/2 = 9 and 8/2 = 4
Thus, The 18:8 ratio simplified
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y > −2x + 10 y > 1/2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
answer:
a) E
b) K
c) B
d) D
Answers
Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.
To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.
a) Point E at (4, -2):
Substituting the coordinates into the inequalities:
-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)
-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)
b) Point K at (2, 3):
Substituting the coordinates into the inequalities:
3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)
3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)
c) Point B at (4, 7):
Substituting the coordinates into the inequalities:
7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)
7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)
d) Point D at (-7, 1):
Substituting the coordinates into the inequalities:
1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)
1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)
Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.
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Evan has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $236.27.
He buys 3 bicycle reflectors for $14.61 each and a pair of bike gloves for $15.56.
He plans to spend some or all of the money he has left to buy new biking outfits for $57.65 each.
What is the greatest number of outfits Evan can buy with the money that's left over?
Answers
if necessary, how can a student determine the change in angular momentum δlδl of the cylinder from t=0t=0 to t=t0t=t0?
Answers
To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:
ΔL = I * Δω
where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.
To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:
Δω = ωt0 - ω0
Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.
The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:
I = (1/2) * m * r^2
where m is the mass of the cylinder and r is the radius of the cylinder.
By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.
It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.
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10. Find the value of x. Find the value of y. Then find the measure of each angle. Show all
work.
Answers
======================================================
Explanation:
The angles 2x and 40 combine to a right angle which is 90 degrees.
2x+40 = 90
2x = 90-40
2x = 50
x = 50/2
x = 25
The angle 5y makes up the remaining 90 degrees.
5y = 90
y = 90/5
y = 18
------------------------------------
Use those x and/or y values to find the missing angle measures.
angle AXB = 5y = 5*18 = 90angle BXC = 2x = 2*25 = 50angle AXC = angle AXB + angle BXC = 90+50 = 140or, angle AXC = 180-(angle CXD) = 180-40 = 140To summarize:
angle AXB = 90angle BXC = 50angle AXC = 140find 2 positive numbers where the second number is the reciprocal of the first and the sum of the two numbers is minimized
Answers
The two positive numbers 1, 1, and their sum (2, respectively), where the second number is the reciprocal of the first and the sum of the two numbers is minimized.
Positive numbers are those that are greater than zero or that are on the number line to the right of zero. There is a negative number that is the polar opposite of every positive number. Positive numbers are written with a negative or minus sign in front of them, and we refer to these numbers as negative numbers.
Let x and 1/x be two different numbers.
These two add up to x + 1/x, or Sum = x + 1/x.
and
The first derivative should be equal to zero and the second derivative should be positive in order to minimize the sum.
So first derivative is (1-1 / \(x^{2}\) = 0)
=>x = -1, x = 1
Second derivative is 2/\(x^{3}\) which is >0 for x=1.
So your response is 1, 1 and the sum is 2.
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You need a new mat to place under your dogs water bowl. The mat has a diameter of 24 inches and the water bowl has a diameter of 8 inches. What is the approximate space of the mat not covered by the water bowl?
Answers
Answer:
200.96
Step-by-step explanation:
So, we have to find the area of both.
The area for the mat is
(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.
So, 226.08
Next, the water bowl.
(3.14)4^2=50.24.
226.08-25.12=200.96
I may be wrong!
Mat 133 Sorting data is helpful because: ______________
a. we can see the frequency of each data value.
b. we can determine shape of the data set, even with large data sets.
c. we can easily determine center and variability, even with large data sets.
d. we can see the range of values.
Answers
The correct answer is d. we can see the range of values.
Sorting data allows us to arrange the data points in ascending or descending order, which helps us easily identify the minimum and maximum values in the dataset. By observing the range, we can determine the span or spread of the data, providing insights into the variation between the smallest and largest values.
While options a, b, and c are also benefits of sorting data, they are not specific to sorting alone. Frequency distribution, determining shape, and analyzing center and variability can be done using various statistical techniques and measures, such as histograms, measures of central tendency, and measures of dispersion. However, sorting data directly aids in visualizing the range, making option d the most appropriate choice.
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You want to calculate a z score for a test where your raw score is 24. What other information must you have
Answers
What is the statement of square?
Answers
Answer:
Step-by-step explanation:
Square's mission statement is simple. Square deliver “Economic Empowerment” to the thousands of business owners who use Square to manage their businesses.
What is the simplified form of 3 square root 7 minus 5 square root 7
Answers
3√7 - 5√7 = (3 - 5)√7 = -2√7
Therefore, the simplified form of 3√7 - 5√7 is -2√7
Find the sale price Original price: $50 Discount: 15% Sale price: $
Answers
Find the measure of the indicated angle. Need help please.
I also need explanation...
Thank you!!!
Answers
Answer:
The measures of interior angles of a triangle sum to 180°.
63+60=123
180-123=57
Angle AB is 57°
I need help again sorry peoples
Answers
Answer:
A = (q + z / 2)m
Step-by-step explanation:
9 + z / 2 . m =A
(q + z)m / 2 = A
(q + z)m/2 / m = A / m
2(q + z / 2) = 2(a / m)
Simplify Left:
q + z = 2(a / m)
Simplify right:
q + z = 2A / m
Subtract z from both sides
q = 2A / m -z
A = (q + z / 2)m
A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined
Answers
The average score for the three classes combined is 75.
Given that :
A teacher gave the same test to three history classes: A, B, and C.
The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively.
The arithmetic mean or average is the sum of the scores divided by the total number of students in the class.
Since the number of students ratio in each class is given,
Number of students in A = 4k
Number of students in B = 6k
Number of students in C = 5k
Average scores for the three classes combined is :
A = (65 × 4k) + (80 × 6k) + (77 × 5k)/ (4k+5k+6k)
= (260k + 480k + 385k) / 15k
= 75
Hence the average of all is 75.
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4. (2 pts) A roll of 32 bills contains only $5 bills and $10 bills. If the value of the roll is $220,then how many of each bill are in the roll?
Answers
Given:
Total number of bills is, N = 32.
Total cost of the bill is, C = $220.
The first type of bill contans $5 bills and second type of bill contains $10 bills in the roll.
Explanation:
Consider the numer of $5 bills as x and $10 bills as y.
Then, the equation for total number of bill can be written as,
\(\begin{gathered} x+y=N \\ x+y=32 \\ x=32-y\text{. . . . . . . (1)} \end{gathered}\)Similarly the total cost of the bill can be written as,
\(undefined\)You have a rectangular prism cake with dimensions of 16 inches long, 12 inches wide and 3 inches tall. If we keep the height of 3 inches, what does the width of a round cake need to be to keep the same volume
Answers
The width of the round cake needs to be approximately 15.63 inches to keep the same volume as the rectangular prism cake.
To keep the same volume when changing the shape of the cake from a rectangular prism to a round cake with a fixed height of 3 inches, we need to find the width of the round cake.
The volume of the rectangular prism cake is given by:
Volume = Length * Width * Height
Substituting the given values:
Volume = 16 inches * 12 inches * 3 inches
The volume of a round cake can be calculated using the formula for the volume of a cylinder:
Volume = π * radius^2 * Height
We want to keep the height at 3 inches, so the equation becomes:
Volume = π * radius^2 * 3 inches
To keep the same volume as the rectangular prism cake, we can equate the two volume expressions:
16 inches * 12 inches * 3 inches = π * radius^2 * 3 inches
Simplifying, we can cancel out the common terms:
16 inches * 12 inches = π * radius^2
Dividing both sides by π:
(16 inches * 12 inches) / π = radius^2
Taking the square root of both sides to solve for the radius:
radius = √[(16 inches * 12 inches) / π]
Now, to obtain the width of the round cake, we can double the radius since the radius represents half the width:
Width of round cake = 2 * radius
Width of round cake = 2 * √[(16 inches * 12 inches) / π]
Width of round cake ≈ 2 * √[(192 inches^2) / π]
Width of round cake ≈ 2 * √(61.211)
Width of round cake ≈ 2 * 7.815
Width of round cake ≈ 15.63 inches (rounded to two decimal places)
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What is the area of the composite figure?
65 cm2
52.5 cm2
40 cm2
60 cm2
Answers
Answer:
65 cm²
Step-by-step explanation:
follow for more on my id
Answer:
65 cm I just took the test
Step-by-step explanation:
Find the rate of change for the function of change from x=-3 to x=1
Answers
Answer:
She's, "HOT"!
Step-by-step explanation:
A)15-3x4
B) find the range of the following list of numbers
7 1 9 3 5
Answers
Answer:
The range is 8.
Step-by-step explanation:
7, 1, 9, 3, 5
The range = Largest no. - Smallest no.
9 - 1 = 8
Answer:
\(8\)
Step-by-step explanation:
\(7 \: \: \: 1 \: \: \: 9 \: \: \: 3 \: \: \: 5\)
Largest value in this set = 9
smallest value in this set = 1
Range = largest value - smallest value
= 9 - 1
= 8
Please help! (look at the image below!!)
Answers
The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.
What is ordering of numbersThe ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.
12⅝ = 101/8 = 12.645
12.62 = 12.62
√146 = 12.0830
12.39 = 12.39
12¾ = 51/4 = 12.75
Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.
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Each day three church bells are rung in a random order. what is the probability that the smallest bell rings first three days in a row?
Answers
The probability that the smallest bell rings the first three days in a row is 1/27. when Each day three church bells are rung in a random order
In the given data there are 3 bells in the church in which there is a small bell and the three bells are rung in a random order. we need to find the probability that the smallest bell rings the first three days in a row.
The probability that the smallest bell rings on any given first day can be given as = 1/3
Because there are three bells and each bell has an equal chance of being rung first. The probability that this happens three days in a row is given as
= (1/3) × (1/3) × (1/3)
= 1/27
Therefore, the probability that the smallest bell rings the first three days in a row is 1/27
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