Answer:
2x + 3x
3x + 10x
Step-by-step explanation:
like Terms are individual terms that have the same variable in them
Which of the following are disadvantages of the mode?
For many sets of data there are multiple modes.
The mode is affected by extremely large and small values.
For many sets of data there is no mode.
the mode can only be computed for interval-level data or higher
The disadvantages of the mode are: For many sets of data there is no mode.
The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.
However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.
The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.
The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.
The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.
The correct option is: For many sets of data there is no mode.
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A computer went on a 16% off sale. The sale price is given as $336. What was the original price of the computer?
Answer:
389.76
Step-by-step explanation:
sale price = $336
percentage deducted = 16%
price deducted = 336 × 16 ÷ 100 = 53.76
original price = 336 + 53.76 = 389.76
X = 1/7y - 9
X + 9 = 1/7
7x + 63 = y
Y = 7x + 63
Answer:
9x
Step-by-step explanation:
X=1/7y-9
X+9=1/7
7x + 63 = y
Y=7x+63
Y-7x=63
Y=63/7x
Y=9x
Given
Principal 1500
Intrest 6%
Time 240 days
Partial payments for 100th day 7,000
For 180th day 4,000
A. Use the u.s rule to solve for total intrest cost
B. Use the u.s rule to solve the balance after payments for the 100th and 180th
C use the u.s rules to solve final payment
Which of the following statement(s) is (are) true?
I. The set of all second-degree polynomials with the standard operations is a vector space. II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space. III. The set of second quadrant vectors with the standard operations is a vector space A) 1 B) II and III C) II and III D) 11
The true statement is; II. Option D
How to determine the correct statementsFrom the information given, we have that;
I. The set of all second-degree polynomials with the standard operations is a vector space
II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space
III. The set of second quadrant vectors with the standard operations is a vector space
Note that;
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HELP ASAP PLEASE!!!!!!!!
Answer:
1
Step-by-step explanation:
1 : 1 :sqrt(2)
The legs are in the ratio of 1 to 1
tan 45 = opp side / adj side
tan 45 = 1/1
tan 45 =1
Answer:
Step-by-step explanation:
Find the mean of the data set:
87,79,92,71,88,70,91,82,85
Round your answer to the nearest tenth.
Provide your answer below:
The mean of the data set is 82.77
How to calculate the mean of the data set?If we want to find the mean, we would have to put it at the back of our minds that the mean is the same as the average. As such, we would have to take the sum of all the values that have been listed in the data set and divide by the total number of the data.
The first step is to arrange the data set orderly from smallest to largest;
70, 71,79, 82,88,85,87,91,92
We have nine values in the data set thus the mean is;
70+71+79+82+88+85+87+91+92/9= 745/9= 82.77
Hence the mean of the data set is 82.77
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Please answer this correctly without making mistakes
Answer:
1/4 miles
Step-by-step explanation:
Hey there!
Well starting at Campbell and going to Morristown it is 1/4 miles.
Going from Campbell to Clarksville it is 2/4 miles.
So to find the difference we’ll subtract.
2/4 - 1/4
= 1/4 miles
Hope this helps :)
Pls help meeeeeeeeeeee
Answer:
8>x
Step-by-step explanation:
Answer:
8 > x
Step-by-step explanation:
The open circle at 8 means that x cannot be equal to 8
The arrow points left meaning that x is less than 8 , so
x < 8 , that is
8 > x
PLEASE HELP ME ON QUESTION ASAP!!
IF YOU HAVE A TOPIC LIST IN YOUR EXAMS AND IT SAYS AVERAGES AND THE RANGE ARE YOU GOING TO BE HAVING MEAN AND RANGE IN YOUR TEST OR MEAN, RANGE MODE, MIDPOINT BASICALLY ALL OF IT ? IF ANSWERS CORRECT ILL RATE YOU FIVE STARS, GIVE YOU A THANKS AND MAYBE EVEN BRAINLIEST (sorry for caps)
Answer:
Step-by-step explanation:
Typically yes you need to know
Mean
Median
Mode
and Range
Mean = average, add all numbers then divide by how many
Median = midpoint, middle number. Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers
Mode = numbers that occurs the most in the list of numbers
Range = This is the largest number minus the smallest number.
The height of one cylinder is 8 cm, and the radius of its base is 5 cm. The height of a second cylinder is 24 cm, and the radius of its base is 5 cm. How many times the volume of the first cylinder is the volume of the second cylinder?
Answer:
Step-by-step explanation:
volume₁ = π5²·8 = 200π cm³
volume₂ = π5²·24 = 600π cm³
volume₂ = 3×volume₁
Answer:
It is 3, hopefully you got a good score! :D
Step-by-step explanation:
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.5 ounces and standard deviation of 0.5 ounces. Examine the figure below and answer the following questions.
a.) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.)
b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.)
c.) The machine has just been loaded with 300 cups. How many of these do you expect will overflow when served?
The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..
How to solveA vending machine automatically pours soft drinks into cups.
The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.
Examine figure 7.- and answer the following questions.
a) estimate the probability that the machine will overflow an 8oz cup.
Procedure:
Determine the z-score for 8
z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1
P(x>8) = P(z>1) = 0.1587..
-----------------------
b) Estimate the probability that the machine will not overflow an 8oz cup.
P(z<1) = 1 - 0.1587 = 0.8413..
-----------------
c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..; Rounded down you get 134 cups
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What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
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In 1980, a Domino's large pizza cost $4.99.
What would be the cost of that pizza in 2000?
Answer:
i cant understand it brief it plz
Step-by-step explanation:
WHY CAN'T ANYONE HELP ME? In 2001 there were 6680 electric-powered vehicles in use in the United States. In 1998 only 4760 electric vehicles were being used. Assume that the relationship between time, x, and number of electric-powered vehicles, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pairs of the form (years past 1998, number of vehicles).
Answer:
y = 640x +4760
Step-by-step explanation:
Given:
(x, y) = (years past 1998, number of vehicles) = (0, 4760), (3, 6680)
Find:
a slope-intercept form linear equation through these points
Solution:
The 2-point form of the equation of a line is a useful place to start:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6680 -4760)/(3 -0)(x -0) +4760
y = 1920/3x +4760
y = 640x +4760 . . . . . the desired equation
The curvature of a circle is inversely proportional to its radius. What is the exact circumference of a circle with one-third the curvature of a circle of radius 1?
The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units
What is circumference ?
The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.
If a circle has a radius of 1,
the curvature is inversely proportional to this
So, the curvature= 1
A circle with a curvature of 1/3 :
radius=3
Thus, the circumference of the circle = 2 *π * radius
= 2*π * 3
= 6π
≈ 18.85 units
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You are curious why some apartments in West Campus cost more to rent than others. So you sample 30 one-bedroom apartments from across different West Campus apartment buildings and record the monthly rent (in dollars), along with the following explanatory variables: Area - square feet of living space in the apartment Age - how many years old the building that contains the apartment is Parking - whether or not the apartment comes with a parking space You ran a linear regression model predicting monthly rent and including the main effects of all three explanatory variables.
Required:
What is the population of interest for this study?
Answer:
the monthly rents of the apartments
Step-by-step explanation:
In the field of statistics, the population of interest may be defined as the group or the population from which the experimenter or the researcher tries to make conclusions or draw their results.
In the context, I am interested to study the cost of the rented house that is more than others in the West Campus area.
So I recorded the monthly rents of the apartments from a sample of 30 one bedroom apartments.
Therefore, the population of interest for my study here is the monthly rents recorded from the sample of one bedroom apartments.
HELP PLEASE! I tried everything from adding to dividing, subtracting, multiplying but still no correct answer. Can someone help me out here please?
Answer:
46%
Step-by-step explanation:
Divde the smaller # by the bigger # to get the precentage
An average San Francisco customer uses what percent of electricity used by an average Houston customer?
In other words, San Francisco is what part of Houston?
---Just like, 7 is what part of 49? These are the same questions and would be solved in the same way
San Francisco / Houston
6753 / 14542
0.4644 = 46.44%
ANSWER: 46%
Hope this helps!
What is 7/11 x 1/4 in simplest form
Answer:
\(\frac{7}{11} * \frac{1}{4}\) = \(\frac{7}{44}\).
Cannot reduce it. Then it will make the numerator a decimal
Which cannot happen.
\(\frac{7}{44}\) is the answer then
Answer:
7/11 x 1/4 = 0.015
I hoped it helped you.
find the product 538 x 100=
Answer:
Answer=53,800
Step-by-step explanation:
just add the two zero behind the number
Mario needs 18 ounces of cream cheese to make 3 cheesecakes. How many ounces of cream cheese does Mario need if he wants to make 10 cheesecakes?
Answer:
60 ounces
Step-by-step explanation:
18/3=6
6x10=60
Answer:
60 ounces
Step-by-step explanation:
18 ÷ 3 = 6 6 x 10 = 60First you need to find how many ounces are in one cheesecake. 18 ÷ 3 = 6. Then, you multiply 6 by 10, which is 60.
Determine whether each statement is always true, sometimes true, or
never true.
1. Every square is a rhombus.
2. Every rhombus is a parallelogram.
3. Every rectangle is a parallelogram.
4. The diagonals of a square are perpendicular.
5. If the diagonals of a quadrilateral bisect each other, then the
quadrilateral is a square.
6. If the diagonals of a quadrilateral are perpendicular, then the
quadrilateral is a rhombus.
7. The diagonals of a rectangle are congruent.
8. The diagonals of a rhombus bisect the vertex angles.
9. Some rectangles are rhombi.
10. Some rhombi are squares.
Here the statements 1, 2, 3, 4, 5, 7, 8, 10 are correct according to the rules of the shapes.
1: A rhombus is a quadrilateral with four equally sized sides. Each square is a rhombus since they all have four sides that are the same length. 2: Due to the parallel alignment of its opposing sides, every rhombus is a parallelogram. 3: It is true that all rectangles are parallelograms since they have two sets of parallel sides and two pairs of equal opposing sides. 4: The other is split into two equal halves by each bisector. 5: If a quadrilateral's diagonals are equal and bisect one another at right angles, it is a square. 7: Since the diagonals themselves are congruent, each bisected line segment is also congruent. 8: The diagonals split a rhombus's vertex angles into equal halves. The diagonals of a rhombus are at right angles to one another. 10: A square is a rhombus. Sometimes, this is accurate. When a rhombus has four right angles, it is true. So the statements 1,2,3,4,5,7,8,10 are correct.
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pls help with this!!
A recent report in USA Today indicated a typical family of three
spends 420$ per month on food. Assume the distribution of food
follows the normal distribution with a mean of 420$ and a standard
deviation of 40$. What percent of the families spend more than 170$
but less than 670$ per month on food? What percent of the families
spend less than 380$ per month on food? What percent of the families
spend more between 400 and 500$ per month on food?
on a field trip, there there are 42 children for three adults to supervise. how many adults are needed for a 252 children?
18 supervisors are needed.
42 children for 3 adults to supervise:
First, we have to divide the number of children by the number of supervisors:
42/3 = 14 children for each supervisor.
Then we have to divide the new number of children (252) by the number of children that each supervisor supervises.
252 /14 = 18 supervisors.
If the patient is less than 70 years old, the loading dose is 80 Howell Units2 per kilogram of DM. One Howell Unit is equivalent to 0.0020 mg of pure heparin. 2. Calculate how many mg of pure heparin is in 80 Howell Units. Do not worry about the kilograms of DM yet. 00.1600mg The loading dose, in mg of heparin for a 5-year-old with a total body weight of 40 lbs., with 10% bodyfat (that is, 90% of that 40 lbs. is lean body mass). You may also be interested to know that 1 kg = 2.20 lbs. Think about the steps you need to go through to find the correct dose. Remember, first you need to find the dosing mass....
Answer:
1) 0.16 mg of pure heparin is in 80 Howell units
2) the loading dose, in mg of heparin for the 5-year-old boy is 2.618 mg
Step-by-step explanation:
Given that;
if a patient is less than 70 years of age then loading dose is 80 Howell units square per Kg of DM,
One Howell unit is equivalent to 0.0020 mg of pure heparin
1)
how many mg of pure heparin is in 80 Howell units.
that will be;
80 × 0.0020 = 0.16 mg
therefore 0.16 mg of pure heparin is in 80 Howell units
2)
First we find the dosing mass
so dosing mass = body weight of the 5year old boy × 90%
from the question his total body weight of 40 lbs and 1 kg = 2.20 lbs
so
dosing mass = 40lbs × 1kg/2.20lbs × 90/100
dosing mass(kg) = 16.37 kg
Now to calculate the Loading dose we say;
Loading dose = dosing mass × heparin required per kg
Loading dose = 16.36 kg × 0.16 mg heparin per 1kg
loading dose = 2.618 mg heparin
therefore the loading dose, in mg of heparin for the 5-year-old boy is 2.618 mg
Solve for h.
what is h equal to?
Answer:
the last one
Step-by-step explanation:
.................
m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3
1. The waiting times (in minutes) of customers at a certain bank is given below. 5.5 6.5 6.7 7.2 6.4 7.3 (a) Construct a 95% confidence interval for the mean waiting time of all customers at the bank. (b) Based on the confidence interval in (a), will the bank manager be satisfied if she wishes the average waiting time in her bank to be less than 7 minutes
Answer:
The 95% confidence interval is
\( 5.92 < \mu < 7.284 \)
Step-by-step explanation:
From the question we are told that
The data is 6.5 6.7 7.2 6.4 7.3
Generally the sample mean is mathematically represented as
\(\= x = \frac{\sum x }{n}\)
=> \(\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}\)
=> \(\= x = 6.6\)
Generally the standard deviation is mathematically represented as
\(\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }\)
=> \(\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }\)
=> \(\sigma = 0.6512\)
Gnerally the degree of freedom is mathematically represented as
\(df = n- 1\)
=> \(df = 6 -1\)
=> \(df = 5\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the t distribution table the critical value of \(\frac{\alpha }{2}\) is
\(t_{\frac{\alpha }{2} , 5 } = 2.571 \)
Generally the margin of error is mathematically represented as
\(E = t_{\frac{\alpha }{2}, 5 } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 2.571 * \frac{0.6512}{\sqrt{6} }\)
=> \(E = 0.6835 \)
Generally 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \= x +E\)
=> \(6.6 - 0.6835 < \mu < 6.6 + 0.6835\)
=> \( 5.92 < \mu < 7.284 \)
Equation A is equal to (C + D) x (C + D). Equation B is equal to 2 x (C + D). If C and D were numbers that were greater than zero, which equation would give you a bigger value ? Equation A or Equation B ? Give an example for C and D that supports your answer. PLEASE HELP TIMED EXAM!!!!!
According to the question an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
What is equation?Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression has to be added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying each component of an equation with a nonzero value.
given,
To determine which equation would give a bigger value, we can compare the expressions obtained by expanding Equation A and simplifying Equation B.
Expanding Equation A, we get:
A = (C + D) x (C + D) = C² + 2CD + D²
Simplifying Equation B, we get:
B = 2 x (C + D) = 2C + 2D
To compare the values of A and B, let's choose some values for C and D that are greater than zero. Let's choose C = 3 and D = 2.
Plugging these values into Equation A, we get:
A = 3² + 2(3)(2) + 2² = 9 + 12 + 4 = 25
Plugging these values into Equation B, we get:
B = 2(3 + 2) = 2(5) = 10
Since A is greater than B for the values of C = 3 and D = 2, we can conclude that Equation A gives a bigger value than Equation B for positive values of C and D.
Therefore, an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
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Which point is on the graph of f(x) = 5*?
O A. (0, 5)
O B. (0, 0)
• C. (5, 1)
O D. (1, 5)
Answer is (1,5)
The point that is on the graph of the function \(F(x) = 5^x\) is given by:
D. (1,5).
Which points are on the graph of the function?The function is defined by:
\(F(x) = 5^x\)
When x = 0, \(F(x) = 5^0 = 1\), hence point (0,1) is on the graph of the function.
When x = 1, \(F(x) = 5^1 = 5\), hence point (1,5) is on the graph of the function, which means that option D is correct.
When x = 5, \(F(x) = 5^5 = 3125\), hence point (5,3125) is on the graph of the function.
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