Answer:
Answer choice D, 8 1/2
Step-by-step explanation:
Covert 3 3/16 to an improper fraction. It would be 51/16. Now if we divide witha fraction, we use the reciprocal of the fraction. 51/16 * 8/3 = 408/48. This is also equal to 8.5 or 17/2. So the correct answer would be 8 1/2.
How many groups of 3/4 are in 6 1/2? Please put it in explanation.
Answer:
12 1/3
Step-by-step explanation:
how to find coefficient of x²in 2+x²+c
Answer:
1 is cofficient of X ²
I hope it's helpful for u ...Find a . the mean ; b . the deviation from the mean for each data item ; and c . the sum of the deviations in part ( b ) for the following group of data items . 155 , 156 , 162 , 164 , 168
(a) The mean of the data item from the group data is 161.
(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.
(c) The sum of the deviation is 0
What is a group data?Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.
(a) To find the mean of the data, we use the formula below.
Formula:
M = ∑x/n.......... Equation 1Where:
M = Mean = ?∑x = Sum of each data = 155+156+162+164+168 = 805n = Total number of data item = 5Substitute these values into equation 1
M = 805/5M = 161(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.
M' = x-M
For data 115,
M' = 155-161 = -6For data 156,
M' = -5For data 162,
M' = 162-161 = 1For data 164,
M' = 164-161M' = 3For data 168,
M' = 168-161M' = 7(c) The sum of the deviation is
∑M' = -6+(-5)+1+3+7∑M' = 0Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7 and the sum of the deviation of the data is 161 and 0 respectively,
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Suzanne owns a small business that employs 555 other people. Suzanne makes \$100{,}000$100,000dollar sign, 100, comma, 000 per year, and the other 555 employees make between \$40{,}000$40,000dollar sign, 40, comma, 000 and \$50{,}000$50,000dollar sign, 50, comma, 000 per year.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48, 100. The dot above 100 is shaded purple.
Suzanne decides to leave the company and keep the other 555 salaries the same.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48.
How will removing Suzanne's salary from the data set affect the mean and median?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The mean will decrease and the median will increase.
(Choice B)
B
The median will decrease and the mean will increase.
(Choice C)
C
Both the mean and median will decrease, but the median will decrease more than the mean.
(Choice D)
D
Both the mean and median will decrease, but the mean will decrease more than the median.
Answer:
d
Step-by-step explanation:
Lois is four times as old as her son Don. The sum of their ages is 40. How old is Don?
a.Create an equation that can be used to solve this problem.
b.How old is Don?
Question 12/18
6 Units
The volume of a pyramid is 50 cubic units. The base is a square with sides of length 5. What is the height?
(A) 2 Units
10 Units
0v
D) 4 Units
The height of the pyramid is 6 units.
What is the formula of the volume of a pyramid?
The volume of a pyramid is \(V = ( \frac{1}{3} ) \times B \times h\), where B is the area of the base and h is the height of the pyramid.
In this case, the base is a square with sides of length 5, so the area of the base is \(B = 5 \times 5 = 25 \: square \: units\)
We are also given that the volume of the pyramid is 50 cubic units.
So we are putting these values into the formula and solve for h,
\(50 = ( \frac{1}{3} ) \times 25 \times h \\ 150 = 25 \times h \\ h = 6\)
Therefore, the height of the pyramid is 6 units.
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Correct question is "The volume of a pyramid is 50 cubic units. The base is a square with sides of length 5. What is the height?
(A) 2 Units
(B)10 Units
(C) 6 Units
D) 4 Units"
Please anwser this is all the points I have :)
Check the picture below.
so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?
\(\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2\)
Answer: Large
Step-by-step explanation: Hope it helps Good luck!!!
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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Find the absolute value
|-7|
Answer:
7
Step-by-step explanation:
hello :
|-7| = - (-7) = 7
Answer:
the absolute value of l-7l is 7
hope it helps.
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 4 kg, the acceleration of the object is 9 m/s². When the same force acts upon another object, its acceleration is 6 m/s². What is the mass of this
object?
Step-by-step explanation:
a = k/m or ma = k
using 4 and 9 4* 9 = k = 36
then the equation becomes:
ma = 36
using a = 6
6 * m = 36 shows m = 6 kg
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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pre calc four part question need help
Verify the identity for sin 4x+ sin 12x / cos 4x + cos 12x -= tan (8x) will give a value of sin (8x) / cos (8x)
What is trigonometry?Trigonometry is a branch of mathematics that deals with the study of relationships between the sides and angles of triangles. It has a wide range of applications in various fields, including engineering, physics, navigation, and astronomy.
There are six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions are defined based on the ratios of the sides of a right triangle.
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For the following event, state whether you think the difference between what occurred and what you would expect by chance is statistically significant. Explain.
An airline with a 95% on-time departure rate has 16 out of 300 flights with late departures.
The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.
Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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pls pls pls pls pls help ill mark brainliest
Answer:
Y= 0. There is two that says that so I don't know if it's A or C
Please Help (no links)
Answer:
The answer is d
You are driving to a vacation spot that is 1500 miles away. Including rest stops, it takes you 42 hours to get to the vacation spot. You estimate that you drove at an average speed of 50 miles per hour. How many hours were you NOT driving. Show all work!
Answer:
12 hours
Step-by-step explanation:
The formula for distance is \(d=rt\), distance = rate multiplied by time.
We know that you travel at 50 mph, which is our rate, and we travelled for 42 hours, which is the time.
So the distance is \(42\cdot 50 = 2100\) miles.
However, we weren't constantly driving at a speed of 50 mph - once in a while we were driving at 0 mph because we had taken rests.
That means the total miles lost for taking rests will be \(2100-1500 = 600\) miles.
Since we travel at a speed of 50 mph, that means we spent a total of \(600\div 50 = 12\) hours not driving.
Hope this helped!
Help help help help
Answer:
1,250 has been raised so far
5x−7 = 3 help meee plz
Answer:
5x=3+7
5x=10
X=10/5
=2
It is known that the birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7. Approximately what proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs? Provide all four decimal places in your answer.
Answer: 0.4419
Step-by-step explanation:
Given: The birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7.
i.e. \(\mu=6.8\ \ \ \text{ and }\sigma= 1.7\)
Let X denotes the birth weight.
Then, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is given by :-
\(P(6<X<8)=P(\dfrac{6-6.8}{1.7}<\dfrac{X-\mu}{\sigma}<\dfrac{8-6.8}{1.7})\\\\=P(-0.47<Z<0.71)\ \ \ [Z=\dfrac{X-\mu}{\sigma}] \\\\=P(Z<0.71)-(1-P(Z-0.47))\\\\=0.7611-(1-0.6808)\ \ \ [\text{By z-table}]\\\\= 0.4419\)
Hence, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is 0.4419 .
How do you do this i cant remember i fell asleep in class
The cost of each sandwich, given the number that was sold and the profit made was $15.
How to find the cost ?Let S be the price of a sandwich and A be the price of a salad.
From the lunch sale, we know:
14 S + 14 A = $280
From the evening sale, we know:
42S + 154 A = $ 1400
Simplify the first equation by dividing through by 14:
S + A = $20
Solving this equation for S gives:
S = $20 - A
Substitute this equation into the second equation:
42 ( $20 - A ) + 154 A = $1400
$ 840 - 42 A + 154 A = $1400
112A = $560
A = $5
Substitute A = $5 into the first equation:
S + $5 = $20
S = $15
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HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
Use the numbers 0 - 9 in the blanks to make the equations true
Answer:
what blanks
Step-by-step explanation:
State all integer values of x in the interval (2,8) that satisfy the following inequality:
5x + 4 > 19
Answer:
3,4,5,6 and 7
Step-by-step explanation:
Given
\(5x + 4 \ge 19\)
Required
State the values of x within 2 and 8
\(5x + 4 \ge 19\)
Collect Like Terms
\(5x \ge 19 - 4\)
\(5x \ge 15\)
Divide both sides by 5
\(\frac{5x}{5} \ge \frac{15}{5}\)
\(x \ge 3\)
(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.
So:
The values of \(x \ge 3\) are: 3,4,5,6 and 7
Using lexicographic ordering of 4-sets, select the two inequalities that are both correct. O {2,1,4,5}<{1,16,67,4} {1,5,7,8}<{1,6,67,8} O {2,1,4,5}>{1,16,67,4} {1,5,7,8}<{1,6,67,8} O{2,1,4,5}<{1,16,67,4} {1,5,7,8}>{1,6,67,8} O {2,1,4,5}>{1,16,67,4} {1,5,7,8}>{1,6,67,8}
Using lexicographic ordering of 4-sets, the two correct inequalities are {2,1,4,5}<{1,16,67,4} {1,5,7,8}<{1,6,67,8}
Lexicographic ordering, also known as a dictionary or alphabetical order, is a method of comparing sequences of elements. In this case, we are comparing 4-sets. When comparing two sets, we start by comparing the first elements of each set. If they are equal, we proceed to compare the second element, and so on until we find a pair of elements that are different. The set with the smaller element at that position is considered smaller in lexicographic order.
1. In the first inequality, {2,1,4,5}<{1,16,67,4}, we can see that the first element of the first set (2) is greater than the first element of the second set (1). Therefore, the second set is smaller in lexicographic order, making the inequality correct.
2. In the second inequality, {1,5,7,8}<{1,6,67,8}, the first elements are equal (1). So, we proceed to compare the second elements. The second element of the first set (5) is smaller than the second element of the second set (6), so the first set is smaller in lexicographic order, making the inequality correct.
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A cylinder open on both ends has a diameter of 10 decimeters(dm) and a height of 10 decimeters(dm). What is the
surface area of the cylinder?
314 dm ²
471 dm ²
628 dm ²
157dm2
the surface area of the cylinder is approximately 471 dm².
Now, For the surface area of the cylinder, we need to find the lateral area and the area of the two circular bases.
Since, The formula for the lateral area of a cylinder is
L = 2πrh,
where r is the radius of the cylinder and h is the height.
In this case, the diameter is 10 dm,
So the radius is 5 dm.
And the height is also 10 dm.
Therefore, the lateral area is:
L = 2πrh
L = 2π(5 dm)(10 dm)
L = 100π dm²
The formula for the area of a circle is
A = πr²,
where r is the radius.
In this case, the radius is 5 dm,
So the area of each base is:
A = πr²
A = π(5 dm)²
A = 25π dm²
To find the total surface area, we add the lateral area and the area of the two bases:
SA = 2(Area of Base) + Lateral Area
SA = 2(25π dm²) + 100π dm²
SA = 50π dm² + 100π dm²
SA = 150π dm²
Substitute pi as 3.14, we can calculate:
SA ≈ 150(3.14) dm²
SA ≈ 471 dm²
Therefore, the surface area of the cylinder is approximately 471 dm².
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To qualify to compete in the high jump finals, athletes must jump a certain height in the
semi-finals. Jon jumped 1 inches below the qualifying height, but his friend Anthony
made it to 2 inches above the qualifying height. How much lower was Jon's semi-final
jump compared with Anthony's?
Jon's semi-final jump compared with Anthony's was 3 inches lower. This was based on the heights given.
How to find the value?Given that Jon jumped 1 inches below the qualifying height, but his friend Anthony
made it to 2 inches above the qualifying height.
In this case, the difference in the jump will be gotten by subtracting the values. This will be illustrated as:
= Anthony's jump - Jon's jump
= 2 - (-1)
= 2 + 1
= 3
Therefore, Jon was 3 inches lower.
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points A,B and C are collinear , and AB: BC=1:4 A is located at (-5,-3), B is located at (-2,0) and C is located at (x,y), on the directed line segment AC. what are the values of x and y?
Problem
Points A,B and C are collinear , and AB: BC=1:4 A is located at (-5,-3), B is located at (-2,0) and C is located at (x,y), on the directed line segment AC. what are the values of x and y?
Solution
For this case we know the coordinates of A and B given by:
A=(-5,-3)
B=(-2,0)
We also know that C is located at:
C=(x,y)
We also know the following ratio:
AB/BC= 1/4
We can find the distance between A and B with this formula:
\(AB=\sqrt[]{(-2+5)^2+(0+3)^2}=\sqrt[]{18}=3\sqrt[]{2}\)We can find the distance between B and C on this way:
\(BC=\sqrt[]{(-2-x)^2+(y-0)^2}\)We knwo that AB is 4 times bigger than BC so then if we check the possible options for x and y we can selct the correct one:
(10,12)
And the reason is because if x=10 and y= 12 we have:
\(BC=\sqrt[]{(-2-10)^2+(12)^2}=12\sqrt[]{2}\)And when we divide AB/BC we got:
AB/BC= 3 sqrt(2)/ 12 sqrt(2) = 3/12 = 1/4
number 1 hshshhhshsh
Answer:
i am saying
Step-by-step explanation:
a) 5nt7equals 12
Answer:
C
Step-by-step explanation:
I don't want to explain again because my question got deleted for some reason. I hope you understand and have a phenominal day!
Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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What solid figure has one base, but no lateral faces?
Answer:A pyramid is a three-dimensional figure with only one base. The base can be any polygon. The other faces are triangles.
Step-by-step explanation: