Answer:
a) Range = 7.7
b) Standard deviation = 2.78
Step-by-step explanation:
Find (a) the range and (b) the standard deviation of the data set 8.2, 10.1, 2.6, 4.8, 2.4,5.6, 7.0,3.3 Round to the nearest hundredth if necessary
We are rearrange the given data:
2.4, 2.6, 3.3, 4.8, 5.6, 7.0, 8.2, 10.1
a) Range
This is calculated as: Highest value - Lowest value
Highest value = 10.1
Lowest value = 2.4
Range = 10.1 - 2.4
= 7.7
b) Standard deviation
Step 1
We find the mean
= Sum of values/ Number of value
= 2.4 + 2.6+ 3.3+ 4.8+ 5.6+7.0+8.2+10.1/8
= 44/8
= 5.5
The formula for standard deviation
= √(x - mean)²/n - 1
= √((2.4 - 5.5)² +( 2.6 - 5.5)²+ (3.3 - 5.5)²+ (4.8-5.5)²+ (5.6 - 5.5)²+(7.0-5.5)² +(8.2 - 5.5)² +(10.1-5.5)2)/8 - 1
= √54.06/7
= √7.722857143
= 2.779002904
approximately = 2.78
What is the length of the missing side, x? Bottom line in the first picture
Answer:
51
Step-by-step explanation:
Total triangle 180 degree
Missing side = 180-74-55
Simplify: (-2x - 3) – (3x2 – 8x + 9). Choose the standard form of the answer.
A. -3x2 - 6x – 12
B. -3x2 - 9x + 12
C. -3x2 + 6x – 12
D. -3x2 - 6x + 12
Answer:
C
Step-by-step explanation:
Given
(- 2x - 3) - (3x² - 8x + 9) ← distribute parenthesis
= - 2x - 3 - 3x² + 8x - 9 ← collect like terms
= - 3x² + 6x - 12 → C
hey! please help i’ll give brainliest
Answer:
either c or b
Step-by-step explanation:
im so sorry im also stuck but im more leaning towards near future but im not sure! i hope that the process of elimination helped a bit at least
Answer:
In the near future.
Step-by-step explanation:
In the past it would have said was etc..
Right now, it would say "it just started"
In the far future it would have said in a few days or so.
A pants is marked down from $25 to $19. What is the percent of
change?
Answer:
19/25 = x/100
Cross multiply:
1,900
Divide 1,900 by 25
Equals 76
Subtract 76 from 100
Answer: 24% change
hope this helps
have a good day :)
Step-by-step explanation:
Please help me quick please solve in inequality form
Answer:
D
Step-by-step explanation:
100 students are interviewed to see which of biology, chemistry or physics they prefer.
72 of the students are girls. 34 of the girls like biology best.
11 of the boys prefer physics.
24 out of the 27 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answer:
62%
Step-by-step explanation:
34 girls like biology
? boys like biology
It is 34%≤
27% Prefer chemistry
11% prefer physics
27 + 11 = 38
100 - 38 = 62
let me know if i'm wrong
A farmer sells 8.5 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
I think 49 im not sure
Step-by-step explanation:
dont trust me I not good with math
A total of 120 smoothies were sold on the first day of the month from July-December. True or false
Answer:
the answer would basically be 720 smoothies in total from Jul.-Dec.
Step-by-step explanation:
YWW :)
Point M is the midpoint of segment AB. If the coordinates of A are (−3, 6) and the coordinates of M are (−5, 2), what are the coordinates of B?
Answer:
Point M is the midpoint of AB. If the coordinate of A are (-3,6) and the coordinates of M are (-5,2), what are the coordinates of B?
Step-by-step explanation:
we have BD is 17 cm AB is 24cm find angle of B
Can someone help with putting this sign on the pc with the line under it please
Answer:
greaterthan or eaqual too
Step-by-step explanation:
helpppppppppp please please please please
Joshua worked a total of 10 hours over two days. He worked 6 hours the first day and h hours the second day. Which shows the equation that represents the situation and the number of hours he worked the second day? *
Answer: 6+h=10; 4 hours
1/3 x 1/4 = ?????????
Answer:
1/12
Step-by-step explanation:
1/4 X 1/3 = 1/12
Answer:
1/12
Step-by-step explanation:
When multiplying fractions, you multiply it like normal numbers, so 1 is multiplied by 1, and 3 is multiplied by 4.
For example:
3/4 x 9/10 would be equal to 27/40 because the 3 is multiplied by 9 and 4 is multiplied by 10.
3 x 9 = 27
4 x 10 40
27/40
Therefore on your question it would be 1/12.
A shelf is built on a wall, as shown below. What is the value of x?
Answer:
Step-by-step explanation:
Given:
A shelf is built on a wall. The angles of the triangle are given as (x + 3)°, (2x - 18)° and 90°
We need to determine the value of x.
Value of x:
By triangle sum property, the angles in a triangle always add up to 180°
Thus, we have;
Simplifying, we get;
Subtracting both sides by 75, we get;
Dividing both sides of the equation by 3, we get;
Thus, the value of x is 35.
Together, Aanya and Krish can wash and wax Aanya's car in 50 minutes. Alone it takes Krish ten minutes more than Aanya. To the nearest minute, find the number of minutes it takes for each of them to wash and wax the car alone.
Answer:
95 ; 105
Step-by-step explanation:
Let :
Aanya's time = x
Krish's time = x + 10
Together = 50
Hence
Aanya's rate = 1/x
Krish's rate = 1/(x + 10)
Together rate = 1/50
Hence,
1/x + 1/(x + 10) = 1 / 50
((x + 10) + x) / x(x + 10) = 1/ 50
(2x + 10)/ x² + 10x = 1/50
50(2x + 10) = x² + 10x
100x + 500 = x² + 10x
x² + 10x - 100x - 500 = 0
x² - 90x - 500 = 0
Using the quadratic equation solver :
x = 95.24 ; x = - 5.24
Time can't be negative
Hence, x = 95 (nearest minute)
It takes Aanya 95 minutes Alone a ND
Krishna (95 + 10) = 105 minutes alone
If the interior angle sum of a regular polygon is 5, 940 degrees, how many sides does it have?
An apple, potato, and onion all taste the same if you eat them with your nose plugged
13) What answer contains the correct equations for this context?*
The student council at Jefferson High School
sold a total of 220 brownies and cookies during
its fund-raiser. Each brownie sold for $0.75,
and each cookie sold for $0.50. The student
council made $136.50 from the sales of
brownies and cookies. Which system of linear
equations can be used to find b, the number
of brownies sold, and c, the number of cookies
sold?
A. b + c = 220
0.506 + 0.75c = 136.50
B. b + c = 136.50
0.75b + 0.50c = 220
C. b + c = 136.50
0.50b + 0.75c = 220
D. b + c = 220
0.75b + 0.50c = 136.50
Pick one
A
B
C
D
A factory has a container filled with 35,874 litres of cold drink. In how many bottles of 21 L capacity each can it be filled ? How much drink will be left behind?
Answer:
Number of bottles= 1,708
Step-by-step explanation:
Giving the following information:
Total liters= 35,874 litres
Bottle capacity= 21 liters
To calculate the number of bottles that can be filled given the actual capacity, we need to use the following formula:
Number of bottles= total liters / cottle capacity
Number of bottles= 35,874 / 21
Number of bottles= 1,708
a company packages stickers in sets of 40. if each set costs $80.85, what is the cost of 240 stickers?
Answer:
485.10
Step-by-step explanation:
Check
Identify each as an equation or and expression.
21x-13 +11
Equations
Expressions
x= 2x+5
-3.7x-13
12x + 5
12x = 5 + 3
3x + 1 = -2.1
Answer:
Step-by-step explanation:
An equation contains a sign equality (=) between two expressions.
And an expression is a simple algebraic statement.
By these definitions,
Equations Expressions
x = 2x + 5 21x - 13 + 11x
[tex]\frac{1}{2}x=5+3[/tex] -3.7x - 13
3x + 1 = -2.1 [tex]\frac{1}{2}x+5[/tex]
Evaluate the expression 9 + 8 − 2 x 4.
B 11
C 13
D 16
A 9
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{9 + 8 - 2 }\times\large\text{ 4}\\\large\text{9 + 8 = \bf 17}\\\large\text{17 - 2 }\times\large\text{ 4}\\\large\text{2 }\times\large\text{ 4 = \bf 8}\\\large\text{17 - 8 }\\\large\text{\bf = 9}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf D. 9}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
hii i’ll give brainliest please help thanks :)
Answer: D. 78
Step-by-step explanation:
71 73 74 75 78 85 85 90 97
(order them in numerical value, least to greatest)
take off one number from each side until you have one number left
Answer: 78
Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows your problem. If your problem had another number, you solve it differently. Check image 2.
An ice cream shop offers 5 different types of ice cream, 6 different toppings and the option of having a small, medium or large. What is the total number of possible combinations of ice cream that can be ordered at this ice cream shop?
Answer:
90 possible outcomes.
Step-by-step explanation:
In order to find the total number of combinations possible you simply need to multiply the total number of each options with one another. For example, the number of options in each category are the following
types: 5
toppings: 6
size: 3 (small, medium, large)
Now we simply need to multiply all three of these numbers together to find the total number of possible outcomes.
5 * 6 * 3 = 90 possible outcomes.
Matt has 11 white buttons. He has 9 fewer brown buttons than white buttons. Matt has 17 more grey buttons than brown buttons. How many buttons does Matt have in all?
Answer: 32 buttons
Step-by-step explanation:
Matt has 11 white buttons.
Matt has 9 fewer brown buttons than white buttons. This means he has (11 -9) = 2 brown buttons
Matt has 17 more grey buttons than brown buttons. This means that he has (2 + 17) = 19 grey buttons.
The total number of buttons that Matt has will be;
= 11 white + 2 brown + 19 grey
= 32 buttons
<2 and <6 can be classified as:
A. same-side interior angles
B. corresponding angles
C. alternate exterior angles
D. alternate interior angles
Answer:
b corresponding angles
LOOK AT THE PICTURE PLZ NEED HELP!
Answer:
J
Step-by-step explanation:
Sorry I'm very busy so no step by step
Please helppp. Anything helps
Answer:
Its B.
Step-by-step explanation:
I graphed it on a calculator.
C. Is not correct its linear.
A. Is not correct because it is a positive slope
B. Also negative
D. Is a negative slope, decayed exponential graph. But its not what the graph is supposed to be.
Pls hurry I will give brainlist
Answer:
F 6
Step-by-step explanation:
3 / (1/2)
When dividing by a fraction flip it over and multiply
3 * (2/1) = 6/1 which is just 6
What is the answer rounded to the nearest tenth help me ASAP
Answer:
0.1
Step-by-step explanation:
If you divide 13 by 117, to see how long it is compared to you mph, you get 1/9. Essentially 13 is 1/9th of 117. Convert 1/9 to decimal to get 0.11111. To the nearest tenth, since 1 is lower than 5, is 0.1