In a group of five students who took the same test, four of the scores were 85, 92, 81, and 95. If the average of the five students was 89, what was the score of the fifth student?
Answer:
92
Step-by-step explanation:
89 x 5 = 445
85 + 92 + 81 + 95 = 353
445 - 353 = 92
The score of the fifth student is 92.
What is an average?An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Now it is given that,
Average of the five students = 89
Scores of four students = 85, 92, 81, and 95
Number of students = 5
Let the score of fifth student be x.
⇒Average of the five students = scores of five students/Number of students
∵scores of five students =Scores of four students + score of fifth student
∴scores of five students = 85+92+81+95+x
⇒scores of five students = 353+x
∴Average of the five students = (353+x)/5
⇒89 = (353+x)/5
or, 445 = 353+x
or, x = 445 - 353
⇒ x = 92
Hence, the score of the fifth student is 92
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Evaluate this expression then round your answer to two decimal places: 7^4÷7^6=
Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What is the land area that charlie owns ?
Answer:
Charlie owns 9,315 ft2 of the land area
Step-by-step explanation:
There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.
Mabel owns 26% of the land area, that is:
26*34,500 ft2 / 100 = 8,970 ft2
Adeline owns 47% of the land area, or:
47*34,500 ft2 / 100 = 16,215 ft2
The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2
Since the total area land is 34,500 ft2, Charlie owns:
34,500 ft2 - 25,185 ft2 = 9,315 ft2
Charlie owns 9,315 ft2 of the land area
Solve the inequality 3x + 4 < 22
Answer:
3х<18
х<6
хє(-infinity ;6);
Answer:
x<6
Step-by-step explanation:
3x+4<22
First, subtract 4 from both sides of the inequality.
3x-4<22-4
This cancels out the 4, so the 3x is isolated
3x/3<18/3
Finally, simplify to get the answer.
x<6
please mark as brainliest!!
Simplify using the distributive property
Which number can be distributed across two terms inside parentheses
Answer:
3/5 is the number that can be distributed across two terms inside parentheses.
you might not need it but:
x = 5
Step-by-step explanation:
3/5(x - 10) = 18 - 4x - 1
using distributive property, open the parentheses:
3/5x - 6 = 18 - 4x - 1
Simplify:
3/5x + 4x = 17 + 6
4⅗x = 23
x = 5
Answer:
It's 3/5
Step-by-step explanation:
It's 3/5
The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization's membership is listed below.
State/Region Membership
Alabama 114
Arizona 261
Maryland, Delaware, DC 319
Connecticut 183
Florida 654
Georgia 313
Hawaii 58
Maine 98
Minnesota, Dakotas 335
Missouri, Kansas 324
Mississippi 52
Nebraska 125
North Carolina 342
Nevada 66
New Jersey, Bermuda 321
Alaska, Idaho, Montana, Oregon, Washington 893
New York 690
Ohio 798
Oklahoma 201
Arkansas 74
Illinois 632
Indiana 216
Iowa 76
Kentucky 155
Louisiana 161
Michigan 304
Massachusetts 530
California 1,110
New Mexico 93
Pennsylvania 631
Rhode Island 75
Colorado 344
South Carolina 264
Texas 1,120
Tennessee 122
Utah 45
Virginia 304
Vermont, New Hampshire 192
Wisconsin 316 West Virginia 63
Use statistical software to answer the following questions.
a. Find the mean, median, and standard deviation of the number of members per component. (Round your answers to 1 decimal places.)
Mean?
Median?
Standard deviation?
b-1. Find the coefficient of skewness, using the software method? (Round your answer to 2 decimal places.)
Coefficient of skewness?
b-2. What do you conclude about the shape of the distribution of component size?
Mild positive skewness or Mild negative skewness
(d-1) Are there any outliers?
One, Zero, Three, Four, Two
(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
114, 261, 319, 183,654,313,58,98,335,324,52,125,342,66,321,893,690,798,201,74,632,216,76,155,161,304,530,1110,93,631,75,344,264,1120,122,45,304,192,316,63
USING CALCULATOR :
The mean(m) of the data: = ΣX/n
n = sample size = 40
m = 12974/40
m = 324.4
Median = ((n + 1)/2) th term = 41/2 = (20 + 21)th term / 2
= (261 + 264) / 2 = 262.5
Standard deviation (s) = sqrt(Σ(x - m)²/n))
s = 281. 74
B.) Coefficient of skewness (Ks) :
3(mean - median) / standard deviation
3(324.4 - 262.5) / 281.74
= 0.66
Mild positive skewness Given a positive skew Coefficient value.
(d-1) Are there any outliers?
Yes
Four outliers
(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)
Lower bound = Q1 - (1.5 * IQR)
Upper bound = Q3 + (1.5 * IQR)
IQR = Q3 - Q1
Q3 = upper quartile = 343 ; Q1 = 106 ; Q2 = 262.5
IQR = 343 - 106 = 237
Lower bound = 106 - (1.5 * 237) = - 249.5
Upper bound = 343 + (1.5 * 237) = 698.5
-249.5 ≤ X ≤ 698.5
Determine which sides of the given quadrilateral are parallel. Q (0, 4), R (4, 0), S (0, −4), T (−4, 0)
Answer:
The answer is QR and TS are parallel. QT and RS are parallel
Step-by-step explanation:
You can find the slope of each line using the formula y2-y1/x2-x1 and to help organize your ideas or understand better, you can graph the points in a cardinal plane.
CAN SOMEONE PLEASE DOUBLE CHECK IF THIS IS RIGHT!!! Please
Answer:
yes yesss yessssssssssssssssssssssssssssssssssss
Plz help ty very much
Answer:
A fungus breaks down the body of a dead animal or organism.
btw you cant be in college I did this years ago in fourth grade
A fungus breaks down the of a dead animal
Write another ratio that’s is equilevent too.4:6 and how do u know that your new ratio is equivelant too 4:6
Answer:
8:12
Step-by-step explanation:
Another ratio that is equivalent to 4:6 would be 8:12;
To find another ratio equivalent to another, simply find the multiples of the numbers that make up the ratio.
Using 2 as multiplier;
2 ( 4 : 6) = 8 : 12
I am sure of this because when we reduce both ratio to their lowest term, we get the same value;
4: 6 8: 12
divide by 2 divide by 4
2: 3 2 : 3
Complete the following equation;
Y=k?
Steve said that [5, 12) is the interval notation that represents the set of all real numbers greater than or equal to 5 and less than 12. Joe says that (5, 12] is correct interval notation. Who is correct and justify why? HEPLLLL!!!!!
Answer:
Steve
Step-by-step explanation:
Because it means greater than or equal to
Can anyone help me solve for x and y
x = 24, y = 120
if you disagree tell me, I just substituted values.
Step-by-step explanation:
10. (6x - 7)° + (3x - 29)° = 180°
i.e they are co-interior angles:
6x + 3x - 7 - 29 = 180°
9x - 36° = 180°
9x = 216°
x = 24.
(6x - 7)° = (8y + 17)°
i.e they are vertically opposite angles;
but x = 24.
6(24) - 7 = 8y + 17
144 - 7 = 8y + 17
120 = 8y
y = 15
11. (9x + 25)° = (13x - 19)°
i.e they are corresponding angles;
25 + 19 = 13x - 9x
44 = 4x
x = 11
(13x - 19)° + (17y + 5)° = 180°
i.e they are adjacent angles;
but x = 11
13(11) - 19 +5 + 17y = 180
17y = 180 - 129
17y = 51
y = 3
The graph shows the linear relationship between the balance in a student school lunch account and the number of lunches purchased
Answer:
Step-by-step explanation:
If g is the midpoint of AB, classify each triangle by its angles and sides
Each triangle can be classified by its angles and sides in the following ways :
triangle CFE = triangle CFE is a right angle triangle ( as one of its interior angle measures 90° ) . Triangle CFE is also a scalene triangle ( as none of its sides are equal ) .triangle BEC = Triangle BEC is a right angle triangle . It is also a scalene triangle ( as none of its sides or angle are equal ) .triangle BFG = triangle BFG is an equilateral triangle ( all of its sides are equal ) and it is also an acute angle triangle ( all of its angle will be equal to 60° , which is acute ) .triangle GAF = Triangle GAF is an isosceles triangle ( two of its sides - GF and GA are equal ) . It is also an obtuse angled triangle ( one of its angle measures 120° ) .The sum of three consecutive integers is 48. What are the three numbers?
What three consecutive integers have a sum of 48? Which means that the first number is 15, the second number is 15 + 1 and the third number is 15 + 2. Therefore, three consecutive integers that add up to 48 are 15, 16, and 17.
i need help ASAP What is the slope of this line? Enter your answer as a fraction in simplest term in the box.
volume of 29 mL and has a mass of 53 g what’s is the density
Answer: 1.82
Step-by-step explanation:
Density = [tex]\frac{mass}{volume}[/tex] *Divide the mass by volume.
= 1.82
A bucket is leaking. After 3 hours the bucket has leaked 6 gallons. How many gallons per hour is the bucket leaking?
Answer:
2 gallons
Step-by-step explanation:
divide 6 by 3 because that's the amount
Answer:
2 gallons
Step-by-step explanation:
PLEASE!!
NEED HELP
ASAP
Answer:
set of all solutions
Logic puzzle,Riddles
You enter a bedroom there are 34 people. You kill 30. How many are in the bedroom?
Answer:
4
Step-by-step explanation:
yes
Triangle EFG is graphed below. If the triangle is translated 4 units to the right and 3 units down, what will be the coordinates of G’ ? A. (3,-2) B. (3,4) C. (2, -3) D. (2,2)
Answer:
A) (3,-2)
Step-by-step explanation:
A) (3,-2)
If the length
is 3x+2 and the width is X+4. What is the area of a
redangle?
Answer:
3x+2+x+4=4x+6
Step-by-step explanation:
add all the number with x and also add all the numbers without x and u will get ur answer
so the ans is 4x+6
Marissa has $4.70 in quarters and dimes. If she has 9 more quarters than dimes, how many of each coin does she have?
dimes
quarters
Answer:
22 dimes
10 quarters
Step-by-step explanation:
$4.70 = 0.25(q + 9) + 0.1d
4.7 = 0.25q + 0.25(9) + 0.1d
4.7 = 0.25q + 2.25 + 0.1d
2.45 = 0.25q + 0.1d
24.5 = 2.5 + d
22 = d = 22 dimes
$4.70 = 0.25(q + 9) + 0.1(22)
4.70 = 0.25q + 0.25(9) + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 4.45
0.25 = 0.25q
1 = q
1 q + 9 q = 10 quarters
Check:
$4.70 = 0.25(q + 9) + 0.1(d)
$4.70 = 0.25(1 + 9) + 0.1(22)
$4.70 = 0.25(10) + 0.1(22)
$4.70 = 2.5 + 2.2
$4.70 = 4.7
Fill in a negative integer to make the statement true
Answer:
-2
Step-by-step explanation:
-2 or negative 1 will work , they're both more
Answer:
-2 or -1
because those are both greater than -3
Need help ASAP please! Simplify these.
Answer:
x³/2
8x³/7
5x²/3
3/4x³
1/2 mi = 880 yd
O True
O False
Help
Answer:
True
Step-by-step explanation:
1,760 yds = 1 mile, 1,760 ÷ 2 = 880
m_ZBC =2x+8, m_ABC=21x-5,
and m ABZ=139° Find m ABC.
to
z
B
Answer:
163°
Step-by-step explanation:
Assuming that BZ is a ray inside angle ABC:
2x+8+139=21x-5
8+139+5=21x-2x
152=19x
8=x
m<ABC=21x-5=
21(8)-5=
168-5=
163
Which measurement could represent they side lengths of a right triangle?
a. 3m, 4m, 5m
b. 10m, 12m, 16m
c. 6m, 8m, 12m
d. 4m, 5m, 9m
-45 x (-2) solve please
Answer:
-90x Mark Me Brainlest Please
Step-by-step explanation: