Find the mean, median, and mode for the set of numbers. if necessary, round the mean to one decimal place. 26, 31, 19, 23, 16
Answer:
Step-by-step explanation:
Mean = add up all numbers and divide on how many
26+31+19+23+16= 115
115/5= 23
Median = find the middle number
16, 19, 23, 26, 31
23
Mode = the most repeating number
there is none
solve: 1/3a²-1/a=1/6a²
WILL MARK BEST ANSWER BRAINLIEST
The system of conics has two solutions.
(x-1)²+(y+4)²=25
(x-1)²/25+(y+4)²/100=1
What are the solutions to this system of conics?
Enter your answer by filling in the boxes.
(___,___) and (___,___)
The solutions to this system of conics is; x = 6 and y = -4
What is the solution to the simultaneous Equations?We are given the system of equations as;
(x - 1)² + (y + 4)² = 25 ------(eq 1)
(x - 1)²/25 + (y + 4)²/100 = 1 ------(eq 2)
From eq 1, we can make (x - 1)² the subject to get;
(x - 1)² = 25 - (y + 4)² ----(eq 3)
Plug in eq 3 into eq 2 to get;
(25 - (y + 4)²)/25 + (y + 4)²/100 = 1
Multiply through by 100 to get;
4(25 - (y + 4)²) + (y + 4)² = 100
100 - 4(y + 4)² + (y + 4)² = 100
Solving for y gives y = -4
Plug in -4 for y into eq 1 to get;
(x - 1)² + (-4 + 4)² = 25
√(x - 1)² = √25
x - 1 = 5
x = 6
Now, a conic section is defined as the curve which is the intersection of cone and plane. There are three primary conic sections namely parabola, hyperbola, and ellipse. Thus, the solutions are x = 6 and y = -4.
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(y3)2 · y7 find the product
Answer:
2y^(10)
Step-by-step explanation:
Answer:
y^13
Step-by-step explanation:
In which month was the average number of hours worked by the website designers closest to 50 hours
- January
- February
- March
- April
The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.
What is a month?A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.
This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.
In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.
Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.
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PLZ HELP
I WILLMARKE YOU BRILL
Answer:
1. Mode = 7
2. Range = 8
Step-by-step explanation:
The following set of data were obtained from the question:
4, 6, 5, 9, 3, 2, 7, 7, 1, 8
Mode =?
Range =?
1. Determination of the mode of the data.
Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:
Scores >>>>>>> Frequency
4 >>>>>>>>>>>> 1
6 >>>>>>>>>>>> 1
5 >>>>>>>>>>>> 1
9 >>>>>>>>>>>> 1
3 >>>>>>>>>>>> 1
2 >>>>>>>>>>>> 1
7 >>>>>>>>>>>> 2
1 >>>>>>>>>>>> 1
8 >>>>>>>>>>>> 1
From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .
2. Determination of the range of the data.
Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:
Highest score = 9
Lowest score = 1
Range = Highest – Lowest
Range = 9 – 1
Range = 8
sujxjcidskmdowqpmwnsjxoskwajwiskskqkncbeHELP PLEASE. ANAKSMS
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Answer:
180 degrees
Step-by-step explanation:
the triangle sum theorem states that all angles of a triangle must add up to 180 degrees. this means the answer has to be 180 degrees
use the formula A=P(1+rt) and elementary algebra to find the missing quantity. A= $2,242r = 6% t = 3 years P= $ _____ (simplify the answer)
Given the formula
\(A=P(1+rt)\)We want to find the 'P' value given the following information:
\(\begin{gathered} A=2242 \\ r=0.06 \\ t=3 \end{gathered}\)To find 'P', we just need to make the substitutions in the right places. Change 'A' in the equation for our A value(2242), and do the same with the other parameters.
\(A=P(1+rt)\Leftrightarrow2242=P(1+0.06\cdot3)\)Now, we just need to do the calculations
\(\begin{gathered} 2242=P(1+0.06\cdot3) \\ 2242=P(1+0.18) \\ 2242=P\cdot1.18 \\ P=\frac{2242}{1.18}=1900 \end{gathered}\)Our P value is P = $1900.
PLZ HELP !!!
Find the value of X.
9514 1404 393
Answer:
60°
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°. The interior angle adjacent to x will have measure 180°-x. So, the equation can be written ...
100° +50° +90° +(180° -x°) = 360°
420° -x° = 360° . . . . simplify
x = 420 -360 . . . . . . divide by °, add x-360
x = 60
find j(3x^4y^7) if j(n)=n^3
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-(4*y-7)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 3x-4y+7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y+7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000
y-intercept = 7/4 = 1.75000
Calculate the X-Intercept :
When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333
x-intercept = -7/3 = -2.33333
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = -7/3 = -2.33333
y-intercept = 7/4 = 1.75000
A company has two large computers. The slower computer can send all the company's email in 30 minutes. The faster computer can complete the same job in 15 minutes. If both computers are working together, how long will it take them to do the job?
10 mins
Step-by-step explanation:
Find the value of x
Answer:
x = 20
Step-by-step explanation:
We know that the vertically opposite angles are equal.
Accordingly,
41 = 2x + 1
Subtract 1 from both sides.
41 - 1 = 2x
40 = 2x
Divide both sides by 2.
x = 20
John takes out a loan for $12,000 at a simple interest rate of 4.5% to be paid back in 36 month lease documents what is the amount of monthly payments
Answer:
$31,400(payment for 36 months)
Step-by-step explanation:
4.5% of 12000 is 540.
540×36=19,440
19,440+12000=31,440
help me please! I’ll give brainliest
Answer: 5+2*3
Step-by-step explanation:
the formula multiplies 2 by 3 and then adds 5 to the result
the ratio of potatoes to turnips is 1:1.if there are 473 potatoes how many turnips are there.
Answer:
473
Step-by-step explanation:
1:1
473:x
Cross Multiply
1x=473
Divide both sides by 1
x=473
A spinner is divided into four equal sections that are numbered 2, 4, 7, and 9. The spinner is spun twice.How many outcomes have a product less than 30 and contain at least one odd number? A. 5B. 6C. 8D. 10
First, we compute all of the possible results:
(2,2), (2,4), (2,7), (2,9), (4,2), (4,4), (4,7), (4,9), (7,2), (7,4), (7,7), (7,9), (9,2), (9,4), (9,7), (9,9).
Notice that the pair of ressults which its product is less than 30 are:
(2,2),(2,4), (2,7), (2,9), (4,2), (4,4),(4,7),(7,2), (7,4), (9,2).
From the pairs above those from which at least 1 of the numbers is odd are:
(2,7), (2,9), (4,7), (7,2), (7,4), (9,2).
Answer: 6.
What is the domaun of the relation
{(3, 4), (4, 3), (4, 4), (5, 2)}?
o {2, 3, 4, 5}
o {3, 4, 5}
o {4}
o {2, 3, 4}
Answer:
[3,4,5]
Step-by-step explanation:
the answer is [3,4,5,]
because domain means it is the value of x.
Order the following integers from least to greatest -25,-41,36,28,and16
3(9z+4) > 35z - 4
What is z
\(3(9z+4) > 35z - 4\)
\(27z + 12 > 35z - 4\)
\(12 + 4 > 35z - 27z\)
\(16 > 8z\)
\( \frac{16}{8} > z\)
\(2 > z\)
Consider the function f(x)=x−5ln(x), 1/5≤x≤10.
The absolute maximum value is =
and this occurs at x equals =
The absolute minimum value is =
and this occurs at x equals =
f(x) = x - 5 ln(x)
Get the derivative:
f'(x) = 1 - 5/x
Find the critical points:
• f'(x) = 1 - 5/x = 0 -> 5/x = 1 -> x = 5
• f'(x) is undefined for x = 0, but that's outside the domain of f(x)
Get the second derivative:
f''(x) = 5/x ^2
Check the sign of the second derivative at the critical point x = 5:
f'' (5) = 5/5^2 = 5/25 = 1/5 > 0
Since the second derivative is positive at this point, this means x = 5 is a local minimum.
Check the value of f(x) at the critical point as well as the endpoints of the given domain:
f (5) = 5 - 5 ln(5) ≈ -3.407
f (1/5) = 1/5 - 5 ln(1/5) ≈ 1.809
f (10) = 10 - 5 ln(10) ≈ -1.513
So we have
• absolute maximum = 1/5 - 5 ln(1/5) at x = 1/5
• absolute minimum = 5 - 5 ln(5) at x = 5
The absolute maximum value is f(5)=5−5ln(5), and this occurs at x equals 5
The absolute minimum value is f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5
Given the function f(x)=x−5ln(x),
We are to find the absolute minimum and maximum value of the function
At the turning point f'(x) = x - 5ln(x)
f'(x) = 1 - 5/x
0 = 1 - 5/x
-5/x = -1
-x = -5
x = 5
Find the second derivative of the function;
f''(x) = -5/x²
Substitute the value of x = 5 into the second derivative function to have:
f''(5) = -5/5² = 1/5
Since f''(5) = 1/5 < 0, this is the local maximum and the point x = 5 is the absolute minimum
The absolute maximum value is f(5)=5−5ln(5), and this occurs at x equals 5
The absolute minimum value is f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5
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Y = 3x(x -4) how many solutions
What are the dimensions of the product?
-3
2
4 -3
x-23
a w N
6
0
-8
1x2
O O
2x2
3 x 2
O
3x3
can someone answer my If you answer then I will give you an brainliest answer.
The dimensions of the product is 2 x 2.
What is Matrix?A matrix is a numerical arrangement that is divided into rows and columns. Introduce yourself to matrices and learn about their dimensions and elements. A matrix is a rectangular array of numbers divided into rows and columns. Matrix A, for example, has two rows and three columns.
We are given two matrices of varying dimensions and asked to calculate the dimensions of the result.
In this case, we need to know the rule that will be applied to the matrices' product.
Assume A and B are two matrices with dimensions of and respectively
A (m x n) and b( n x p)
and, C is the product of A X B then the dimensions of C will be given as
C (m x p)
Now, we have the dimensions of first matrix is 2 X 3 and that of second matrix is 3 X 2
Then the dimensions of product of the Matrix will be 2 x 2.
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HELP 10 MIN LEFT!!!!
Answer:
To one decimal place,
y = 16.3 m
Step-by-step explanation:
Using SOHCAHTOA,
In this case we need to use CAH,
WE know the angle = 25 and the hypotenuse H = 18,
so,
y = adjacent
\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)
Answer: 16.3 in.
Step-by-step explanation:
use SOH CAH TOA
cos x = adj/hyp
cos 25 = y/18
18 cos 25 = y
y= 16.3
In a certain country, the heights and depths of a road are measured in relation to sea level. Sea level has a value of 0. The lowest point of the country lies at −10 feet. The highest point of the country lies at +105 feet. Which of the following statements best describes the lowest and the highest points?
Which value of c makes the ratios equal? *
5/6=9/c
1. c = 10.2
2. c = 11
3. c = 5.8
4. c = 10.8
Answer:
Option 4
The answer is 10.8
Step-by-step explanation:
5/6 = 9/c
5c = 9 × 6
5c = 54
5c/5 = 54/5
c = 10.8
Thus, The value of c is 10.8
For Verification;5/6 = 9/c
5/6 = 9/10.8
0.833 = 0.833
Hence, L.H.S = R.H.S
-TheUnknownScientist 72
a squirrel burrowed 10 holes in 8 minutes how many holes could the squirrels burrow in 12 minutes
Answer:
15
Step-by-step explanation:
Please help, thank you!
Answer:
En español pliss y te ayudoo jajjaa
A bag contains 8items of which two are deffective.A man selects 3 items
When a man selects 3 items, the probability that they're all defective will be 1/64.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
From the information, bag contains 8items of which two are deffective. The probability of a defective item is:
= 2/8
= 1/4
When a man selects 3 items, the probability that they're all defective will be:
= (1/4)³
= 1 / 64
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Complete question
A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?
In order to estimate the statistical difference between the average hourly wages of employees of two branches of a department store, two independent random samples were selected and the following statistics were calculated. Downtown Store North Mall Store Sample size 25 20 Sample mean $9 $8 Sample standard deviation $2 $1 A 95% interval estimate for the difference between the two population means is _____. Group of answer choices
Answer:
0.076 ; 1.924
Step-by-step explanation:
Given that :
_______Downtown Store ___ North Mall Store
n _______25 _______________20
Mean (m) _ $9 _______________$8
Sample sd_ $2 ______________$1
Standard Error (SE) = √[(s1²/n1) + (s2²/n2)]
√((2^2/25) + (1^2/20)) = 0.4582575
df = (25 + 20) - 2= 43
(m2 - m1) ± t(df = 43 , 0.025) * SE
(9 - 8) ± 2.01669 * 0.4583
(1 - 0.9242) ; (1 + 0.9242)
0.076 ; 1.924
What would be the total cost of purchasing the number of shirts needed to use your coupon after your coupon is applied and a 7.5% sales tax is charged on the purchase
The total cost of purchasing the number of shirts after the coupon and sales tax are applied is $40.32.
What is the total cost of the shirts?The discount that the coupon offers is 25% and the price of the shirts before discounts is $50.
The price after the discount is:
= 50 x (1 - 25%)
= $37.50
The price including the sales tax:
= 37.50 x (1 + 7.5%)
= $40.32
Rest of the question is:
The coupon discount on a group of shirts that cost $50 is 25%. What would be the total cost of purchasing the number of shirts needed to use your coupon after your coupon is applied and a 7.5% sales tax is charged on the purchase?
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