Answer
Q1 = 10
Explanation
To ontain the Q1, we need to first make sure the numbers are arranged in ascending or descending order.
5, 8, 10, 11, 12, 15, 19, 20, 20, 24, 25
Q1 is the number that occurs at the (N + 1)/4 position for the distribution.
N = Number of variables = 11
Q1 = (N + 1)/4
Q1 = (11 + 1)/4 = (12/4) = 3rd variable.
5, 8, 10, 11, 12, 15, 19, 20, 20, 24, 25
The 3rd variable = 10
Hope this Helps!!!
Answer:
10
Step-by-step explanation:
i'm drinking boba and am to lazy to explain.
Which statement about the zeros of the graphed function is true?
A polynomial function passes through (0.8, 4), (2, minus 4), (4.6, 0.5), (6, 0), and (7.5, 8) also intercepts the x-axis at 1, 4 and 6 units.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
The function has three distinct real zeros.
The correct answer is A.
To determine the statement about the zeros of the graphed function, let's analyze the given information.
We have the following points on the graph:
(0.8, 4), (2, -4), (4.6, 0.5), (6, 0), and (7.5, 8)
Additionally, the function intercepts the x-axis at 1, 4, and 6 units.
To find the zeros of the function, we need to identify the x-values where the function intersects the x-axis.
From the given information, we know that the function intersects the x-axis at 1, 4, and 6 units.
These three x-values correspond to three distinct real zeros of the function.
The correct statement about the zeros of the graphed function is:
The function has three distinct real zeros.
The correct answer is A.
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5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
What is the solution to the equation 82 (4x + 2) = 10?
Answer:
x = -77/164
Step-by-step explanation:
82(4x+2) = 10
328x+164 = 10
328x = -154
x = -77/164
Answer:
\(-\frac{77}{164}\)
Step-by-step explanation:
Apply the distributed property: 82 × 4x = 328x, 82 × 2 = 164Re-write the problem: 328x + 164 = 10Subtract 164 from each side, so it now looks like this: 328x = -154Divide each side by 328 to cancel out the 328 next to x. It should now look like this: \(x = -\frac{77}{164}\)I hope this helps!
PLEASE HELP WILL MARK BARINLIEST
Answer:
d= 120
Step-by-step explanation:
c+d = 180 degree
d = 180-60 =120 degree
this is a math question find the complement of 50 degree
Given:
The measure of an angle is 50 degrees.
To find:
The complement of the given angle.
Solution:
We know that the sum of an angle and its complement is 90 degrees.
Let x be the complement angle of 50 degrees.
\(x+50^\circ=90^\circ\)
\(x=90^\circ-50^\circ\)
\(x=40^\circ\)
Therefore, the measure of complement of the given angle is 40 degrees.
Is 83.77 an integer?
Answer:
It is not a integer, it is a rational number
Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!
Step-by-step explanation:
(-37)+(-2) please tell quickly
Answer:-39
Step-by-step explanation:
The first thing is to open the bracket.
By doing that, the question becomes -37-2.
note that plus×minus=minus.
Hence,-39 as the final answer
a drill bit has a size of 5/16 inch . what is the measurement as a decimal ?
Answer:
0.3125
Step-by-step explanation:
that is 5/16 as a decimal hope this helps
Answer:80
Step-by-step explanation:
5 x 16
Can you guys help me out here?
Answer:
F(-5) = -2.25
f(-2) = -2
f(0) = 4
Step-by-step explanation:
Just plug in the value in the parentheses for x
PLEASE HELP!!!
Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 12.4 cm, s = 18 cm
The area is
cm2
Answer:
496 cm²
Step-by-step explanation:
Area of polygon :
A = 1/2(p * a)
P = perimeter
a = apothem
Perimeter = 5s (pentagon)
s = side length = 18
P = 5 * 18 = 80 cm
a = 12.4
A = 1/2(80 * 12.4)
A = 1/2(992)
A = 496 cm²
Question A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten students scored 90 on each test, three students scored 80 on each test and one student scored 70. What is the average score of the spelling test rounded to one decimal place? Enter your answer in the box.
The average score of the spelling test is 90.6%
To find the average score of the test, we need to add up all the scores and divide by the total number of students. We can think of the average score as the "typical" or "representative" score of the entire class.
First, let's add up all the scores:
2(100) + 9(95) + 10(90) + 3(80) + 1(70) = 200 + 855 + 900 + 240 + 70 = 2265
Next, we divide by the total number of students:
Average score = (2 + 9 + 10 + 3 + 1) / 25 * 100% = 25 / 25 * 100% = 90.6%
Therefore, the average score of the spelling test is 90.6% when rounded to one decimal place.
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Periodic deposit $8000 at the end of the year Rate 4.5% time 20 years
Using the future value formula, it is found that:
After 20 years you will have approximately $250,971.
What is the future value formula?The future value formula is given by the following equation:
\(V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right]\)
In which the parameters are given as follows:
P is the payment.n is the number of payments.r is the interest rate.From the information given, the values of the parameters are given by:
P = 8000, r = 0.045, n = 20.
Hence the balance of the account in 20 years is given by:
\(V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right]\)
\(V(20) = 8000\left[\frac{(1 + 0.045)^{20} - 1}{0.045}\right]\)
V(20) = $250,971.
Which is the amount you will have.
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PLEASE IF YOUR A MATH EXPERT ANSWER THIS I'M LOSING MY SANITY
Which expression is equal to 3(5+6) ?
A: 15 + 18
B: 3 + 11
C: 5 + 18
D: 15 + 6
Hey there!
3 (5 + 6)
= 3×5 + 3×6
= 15 + 18 (A.)
=> If we add 15 + 1, we'll get 33.
Check the 2 inserted images!
Hope it helps ya!
Answer:
Answer is B: 3 + 11
Step-by-step explanation:
correct me if i'm wrong
I need help with this word problems I struggle with word problems
The given equation is
P(q) = q(65 - 5q)
By opening the parentheses, we have
P(q) = 65q - 5q^2
If the average profit is $150 per quart, then P(q) = 150
The equation would be
150 = 65q - 5q^2
By rearranging it, we have
5q^2 - 65q + 150 = 0
Dividing through by 5, we have
q^2 - 13q + 30 = 0
To factorise, we would find two terms such that their sum or difference is - 13q and their product is 30q^2. The tare erms are - 10q and - 3q. Thus, we have
q^2 - 10q - 3q + 30 = 0
q(q - 10) - 3(q - 10) = 0
(q - 10)(q - 3) = 0
q - 10 = 0 or q - 3 = 0
q = 10 or q = 3
You must order 3 quarts or 10 quarts of the specialized metallic paints for the average profit to be $150 per quart
The number 55 is attached to a two-digit number to its left and the formed 4-digit number is divisible by 24. What could be the 2-digit number? List all options.
Given:
The number 55 is attached to a two-digit number to its left and the formed 4-digit number is divisible by 24.
To find:
The 2-digit numbers.
Solution:
Let the two digit number be \(ab\). Then the 4 digit number will be \(55ab\).
We know that the number \(55ab\) lies in the range 5500 to 5599.
Now,
\(5500=229\times 24+4\)
It means, \(5500-4=5496\) is divisible by 24. So, the numbers lie in the range 5500 to 5599 and divisible by 24 are:
\(5496+24=5520\)
\(5520+24=5544\)
\(5544+24=5568\)
\(5568+24=5592\)
Therefore, the possible 2-digit numbers are 20, 44, 68, 92.
Why is 45 minutes
equal to 3/4 of an hour?
1 hour = 60 minutes
45 min = (45 min)/(60 min) = 45/60 = 3/4 of an hour.
To go from 45/60 to 3/4, I divided both top and bottom by the GCF 15.
Answer:
45 minutes equal to 3/4 of an hour because, if you convert the one hour into minutes (60 minutes) it is divisible by 15 four times.
3 · 15 = 45.
Are all intersecting lines perpendicular? Draw a picture to help explain your answer
Not all intersecting lines are perpendicular.
What are perpendicular lines?Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.
Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.
As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.
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A sales representative for a hardware
company receives $8,000 per year plus a
6% commission on total sales. During one
year the sales representative's sales totaled
$320,000. Find the representative's total
earnings for the year.
A) $22,700
B) $19,200
C) $27,200
D) $32,200
It’s for a test please help me
If the band sells 100 series A ticket and 13000 series B tickets they will earn $865000. Write an equation to represent this situation.
Answer:
100x + 13000y = 865000
Step-by-step explanation:
x = Series A price
y = Series B price
Clarence walks 3.1 miles around Lake Johnson every day for five days.
If it takes him a total of 6 hours to walk the 15.5 miles, what is his
average time per day?
minutes per day.
Answer:
Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day
Step-by-step explanation:
To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.
Let's calculate his average time per day:
Average time per day = Total time / Number of days
Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:
Average time per day = 6 hours / 5
Average time per day = 1.2 hours per day
To convert hours to minutes, we'll multiply the average time per day by 60:
Average time per day = 1.2 hours * 60 minutes
Average time per day = 72 minutes per day
Therefore, Clarence's average time per day is 72 minutes.
6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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El ancho de un rectángulo es 15 pies menos que
su largo. Halla las dimensiones del rectángulo si el
perímetro es igual a 250 m.
Answer:
II. Longitud, L = 70 metros.
I. Ancho = 55 metros.
Step-by-step explanation:
Deje que la longitud del rectángulo sea L.
Deje que el ancho del rectángulo sea W.
Dados los siguientes datos;
Perímetro del rectángulo = 250 m
Traduciendo el problema verbal a una expresión algebraica, tenemos;
W = L - 15
Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;
P = 2 (largo + ancho)
250 = 2 (L + L - 15)
250 = 2 (2L - 15)
250 = 4L - 30
4L = 250 + 30
4L = 280
L = 280/4
Longitud, L = 70 m
Para encontrar el ancho;
W = L - 15
W = 70 - 15
Ancho = 55 m
The price of an item has dropped to $56 today yesterday it was $80 find the percentage decrease
If the price of an item has dropped to $56 from $80 then percentage decrease of the item is 35%
What is Percentage?Percentage is a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The discount ( in terms of USD) is $84 -$ 56 = $28
The discount rate percent = 28 x \(\frac{100}{80}\) = 35%
Just multiply discount price by 100 and divide by the original price.
Therefore, the percentage decrease of the item is 35%
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Which is the radian measure for 30° and its associated coordinate point on the unit circle?
7 pie/6
Pie over 6
Answer:
57
Step-by-step explanation:
this is the boybfiend
Opposite of -4 degrees celsis
Answer : 4 Degrees Celsis
Explanation : Use The Absolute Value
I -4 I = 4
◊ YusuCr ◊
Answer: 4 degrees Celsius
Hope this helps!
There is a 30% chance that it rains on Saturday. If it rains, the probability that Sarina will go to
the store on Saturday is .12. If it doesn't rain, the probability that she will go to the store is .53.
Let R represent "it rains and S represent "going to the store".
a. Sketch a tree diagram to
represent this scenario.
b. P(S) = ?
c. P(S') = ?
d. P(S | R) = ?
e. P(R' | S') = ?
This can be solved by finding the probability and using the Bayes' theorem. However, there is a 34.7% chance that Sarina will go to the store on Saturday, and a 65.3% chance that she will not. If it rains on Saturday, there is a 10.3% chance that Sarina will go to the store, and if she doesn't go to the store, there is a 20.3% chance that it did not rain that day.
a. Tree Diagram
A tree diagram is a visual representation of the different possible outcomes of a sequence of events. Each branch represents an event, and the probability of that event is written above the branch. The branches that lead to the same final outcome are grouped together. For this scenario, we can start with the event of whether it rains or not, then branch out to whether Sarina goes to the store or not based on each possibility.
b. To find P(S), we need to use the law of total probability:
P(S) = P(R) * P(S | R) + P(R') * P(S | R')
= 0.3 * 0.12 + 0.7 * 0.53
= 0.347
So there is a 34.7% chance that Sarina will go to the store on Saturday.
c. P(S') is simply the complement of P(S):
P(S') = 1 - P(S)
= 1 - 0.347
= 0.653
So there is a 65.3% chance that Sarina will not go to the store on Saturday.
d. To find P(S | R), we can use Bayes' theorem:
P(S | R) = P(R | S) * P(S) / P(R)
= P(R and S) / P(R)
= 0.3 * 0.12 / 0.347
= 0.103
So if it rains, there is a 10.3% chance that Sarina will go to the store on Saturday.
e. To find P(R' | S'), we can again use Bayes' theorem:
P(R' | S') = P(S' | R') * P(R') / P(S')
= (1 - P(S | R')) * 0.7 / 0.653
= (1 - 0.53) * 0.7 / 0.653
= 0.203
So if Sarina does not go to the store on Saturday, there is a 20.3% chance that it did not rain that day.
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Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?
Answer:
48 years old
Step-by-step explanation:
Let x = Mikhail's age
then x-15 = Gabrielle's age
x + x-15 = 81
2x-15 = 81
2x = 96
x = 48 years old
Answer:
44
Step-by-step explanation:
x+(x-12)=76
2x-12=76
2x=76+12
2x=88
x=88/2
x=44
100 POINTS!!! A group of students were asked if they carry a credit card. The responses are listed in the table. If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
Answer:
0.350 (3 d.p.)
Step-by-step explanation:
\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)
Let P(A) = probability that the student is a freshman
Let P(B) = probability that the student owns a credit card
Use the given table to calculate the probability that the student is a freshman:
\(\implies \sf P(A)=\dfrac{60}{100}=0.6\)
And the probability that the student is a freshman and owns a credit card:
\(\implies \sf P(A \cap B)=\dfrac{21}{100}=0.21\)
To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:
Conditional Probability Formula
The probability of B given A is:
\(\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}\)
Substitute the found values into the formula:
\(\implies \sf P(B|A)=\dfrac{0.21}{0.6}=0.35\)
Therefore, the probability that the student owns a credit card given that they are a freshman is 0.35
What fraction is equal to 212?
Answer:
4/8
Step-by-step explanation:
What error did Wanda make?
None. Wanda’s work is correct.
Wanda converted the percent to a decimal incorrectly. It should be 0.073.
Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Wanda has the wrong label. It should be hours, not dollars.
Answer:
C
Step-by-step explanation:
the guy above sucks
None. Wanda’s work is correct.
Wanda converted the percent to a decimal incorrectly. It should be 0.073.
Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Wanda has the wrong label. It should be hours, not dollars.
Step-by-step explanation: