Answer:
Average is 10.2 standard deviation is 3.4
Step-by-step explanation:
To find the average age, add all the value together then divide by the amount added. (5 + 7 + 10 + 13 + 16) / 5
Standard deviation is average distance from average of each number. 10.2-5, etc…
The average age of the porcupines at the zoo is 10.2 and the standard deviation is 4
What is Standard Deviation?
The term "standard deviation" (or "") refers to a measurement of the data dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Standard Deviation is calculated by
Each number's deviation from the mean must be determined, and then squared.Next, add up all of these values.Divide the result by the quantity of numbers.Then calculate its square root.Given data ,
The set of ages of porcupines in zoo be S = { 16 , 10 , 5 , 7 , 13 }
The average of these numbers in set S is the sum of all the numbers divided by the number of elements in the set
So , Average age of the porcupines = ( 16 + 10 + 5 + 7 + 13 ) / 5
= 51 / 5
= 10.2
Therefore , the average age of the porcupines at the zoo is 10.2
The standard deviation is calculated by
Step 1 : Each number's deviation from the mean must be determined, and then squared.
( 16 - 10.2 )² + ( 10 - 10.2)² + ( 5 - 10.2 )² + ( 7 - 10.2 )² + ( 13-10.2 )²
= ( 5.8 )² + ( -0.2 )² + ( -5.2 )² + ( -3.2 )² + ( 2.8 )²
= 33.64 + 0.04 + 27.04 + 10.24 + 7.84
= 78.8
Step 2 : Divide the result by the quantity of numbers.
78.8 / 5
= 15.76
Step 3 : Then calculate its square root.
√15.76
= 3.96
≈ 4
Hence , the standard deviation is 4
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(I’ll give brainliest) Can someone
please help me with this math vocab!?
Answer:
1. Scale drawing
2. Proportion
9.
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = 2^x + 7; (3, 11)
A. y = 2^x + 5
B. y = 1/2x + 5
C. y = -1/2x – 5
D. y = 2^x - 19
Answer:
A. y = 2^x + 5
Step-by-step explanation:
The equation is not linear, so a constant slope does not exist.
Not Linear PARALLEL
...................................................................................................................................................
The equation is not linear, so a constant slope does not exist.
Not Linear PERPENDICULAR
...............................................................................................................................................
First, remember that if two lines are parallel, they have the same slope. The problem already gave us a point on the line and we now have the power to find the slope. Since we have the slope and a point on the line, we are going to find the equation of the line through the point-slope formula, which is:
is a point on the line
is the slope of the line
The equation given to us has a slope of 2, as we can see because the line is in slope-intercept form. Also, we are given the point (3, 11), which we are told is on the line. Since we are already given all of the information for the point-slope formula, we can simply substitute it in and solve for the equation.
Set up
Use the Distributive Property on both sides
Add 11 to both sides and simplify
The equation of our line is y = 2x + 5.
...............................................................................................................................................
Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)
For lines to be parallel, they have to have the SAME slope.
The given line's slope is 2, so the parallel line's slope is also 2.
y = 2x + b
To find "b", plug in the point (3,11) into the equation.
y = 2x + b
11 = 2(3) + b Multiply 2 and 3
11 = 6 + b Subtract 6 on both sides
5 = b
y = 2x + 5
Which number expresses 6.72 as a fraction in simplest from?
Please Help Me!!!!! I will try to give brainliest!!!
When somebody says why you like me what should i say
answer asap
more then 1 person answer
Ashley runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 mins?
Answer:
5.6 miles
Step-by-step explanation:
7 miles every 80 minutes
7/80
at the same rate we need to find it for 64 minutes
7/80=x/64
x=7*6/80
x=5.6 miles
After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work.
3 times five-thirds = StartFraction 3 Over 1 EndFraction times five-thirds = StartFraction 15 Over 3 EndFraction or 5
Which is the most accurate description of Miko’s work?
Miko found the correct quotient and checked her work using multiplication correctly.
Miko found the correct quotient but checked her work using multiplication incorrectly.
Miko found an incorrect quotient but checked her work using multiplication correctly.
Miko found an incorrect quotient and checked her work using multiplication incorrectly.
Answer:
Miko found an incorrect quotient and checked her work using multiplication incorrectly.
Step-by-step explanation:
Ahhh Please help! <3
Answer:
x=9/2
Step-by-step explanation:
Multiply the numbers
8 ( − 1 ⋅ 3/ 4 )= − 3 + 3 3
8 ( − 3 4) = − 3 + 3 3
Distribute
8 ( − 3 4 ) = − 3 + 3 3
8x-6=30
Add six to both sides
8x-6+6=30+6
Simplify
8x=36
Divide both sides of the equation by the same term
8x=36
8x/8 = 36/8
Then you cancel the terms that are in both the numerator and the denominator and divide the numbers
x=9/2
Answer:
x=4.5
Step-by-step explanation:
8(x-[tex]\frac{3}{4}[/tex])=-3+33
8x-6=30
8x=30+6
=36
x=36÷8
=4.5
HELP ME OUT PLEASE!!
How would you describe the relationship between miles driven per week and car age, as shown in the scatterplot below?
Choose the ONE answer that accurately describes this data.
select 1 correct answer(s)
positive
linear
negative
Answer:
Negative relationship
Step-by-step explanation:
The dots in the scatter plot are going down.
Hope this helps!! :)
Answer:
negative aka c
Step-by-step explanation:
I just need help on this one question
If you help this is worth 30 points
Answer:
12.5
Step-by-step explanation:
You do 100 divided by 8 to figure out how much one bar is worth and when you do 100 divided by 8 you get 12.5.
The volume of a rectangular prism is 300 cubic inches.
The length of the rectangular prism is 4 inches,
the width is x + 4, and the height is x – 6.
Find the value of x, and the dimensions of the rectangular prism.
Answer:
x = 11 the width is 15 and the height is 4
Step-by-step explanation:
300 / 4 = 75
(X-6)*(X+4)=75
factors of 75
1 * 75 no
3 * 25 no
5 * 15 yes
11 - 6 = 5
11 + 4 = 15
Calculate the simple interest rate. (Round your answer to one decimal place.)
P= $1800, I = $87.30, t = 6 months
EX %
Answer:9.7%/year
R = 9.7%/year
Formula:r = I / Pt
Step-by-step explanation:Mark me as Brainlieist
Calculation:
Solving our equation
r = 87.3 / (1800 × 0.5) = 0.097
r = 0.097
converting r decimal to a percentage
R = 0.097 × 100 = 9.7%/year
The interest rate required to
accumulate simple interest of $87.30
from a principal of $1,800.00
over 0.5 years, is 9.7% per year.
Can someone please explain step by step on how I can get the answer? If so I’ll mark you brainliest
Answer:
3
Step-by-step explanation:
18 factors to 2, 3, 3
45 factors down to 5,3,3
how do you use inequalities and graph them
10% of 65 pls help and explain the steps to get total answer
Which ordered pair is in the solution set of 8x+16y > 32?
A. (0,2)
B. (-3,5)
C.(-1,1)
D. (4,0)
Option B (-3,5) represents the ordered pair that is a solution set of [tex]\rm 8x+16y > 32[/tex]
We are given an inequality
[tex]\rm 8x+16y > 32[/tex]
We have to determine that which of the following options of ordered pair is the solution set for the given inequality
The options are given as follows
A. (0,2)
B. (-3,5)
C.(-1,1)
D. (4,0)
Whichever option of ordered pair will satisfy the given inequality will be the solution set for the given in-equation.
By trying all the options as following
A. (0,2)
[tex]\rm 8 (0) +16\times (2) >32\\32> 32 \; is\; false[/tex]
B (-3,5)
[tex]\rm 8\times (-3) +16 \times 5 > 32\\-24 + 80 > 32\\56 > 32 \; is \; true[/tex]
C.(-1,1)
[tex]\rm 8 \times (-1) + 16 \times (1) > 32\\-8 + 16 > 32 \\8 > 32 \; is \; false[/tex]
D. (4,0)
[tex]\rm 8 \times 4 + 16 \times 0 > 32 \\32 > 32 \; is \; false[/tex]
So we can conclude that option B (-3,5) represents the ordered pair that is a solution set of [tex]\rm 8x+16y > 32[/tex]
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What is the algebraic representation for reflecting a figure over the x-axis?
The rule for a reflection over the x -axis is (x,y)→(x,−y) .
Irurururueurueuejejejejejejejejjejejej
Answer:
hope it helps
Step-by-step explanation:
4 =121
5=59
7=59
isabel prepaid debit card with $20 on it. For her Arst purchase with the card, she bought some bulk ribbon at a
rd. If after that purchase there was $15.52 left on the card, hew many vards of ribbon did Isabel buy?Isabel got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 14
cents per yard. If after that purchase there was $15.52 left on the card, how many yards of ribbon did Isabel buy?
Answer:
32 yards
Step-by-step explanation:
Subtract 15.52 by 20 to find out how much she spent.
She spent $4.48.
Divide 0.14 to find out how many yards of ribbon $4.48 can buy.
She bought 32 yards.
Division is one of the four fundamental arithmetic operations. The number of yards of ribbon is 33.93 yards.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Isabel prepaid a debit card with $20 on it. Also, after that purchase, there was $15.52 left on the card. Therefore, the cost of the total ribbon can be written as,
Cost of total Ribbon = Total Balance in debit card - Balance after purchase
= $20 - $15.25
= $4.75
It is further mentioned that the price of the ribbon was 14 cents per yard. Therefore, we can write,
Yards of ribbon = Cost of total Ribbon / Cost of a yard of ribbon
= $4.75 / $0.14 per yards
= 33.93 yards
Hence, the number of yards of ribbon is 33.93 yards.
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What is 7.48 to nearest ones?
Answer: It is 7.
Step-by-step explanation:
Hope this helped if not lmk!
is y=10/x linear or not
Answer:
Yes it goes in a straight line
Step-by-step explanation:
A graph of a function y = f(x) is symmetric with respect to the origin if replacing x by -x and y by -y yields the same function. For y = 10x, if we replace x by -x and y by -y, we get -y = -10x, which simplifies to y = 10x. Thus, the graph of y = 10x is symmetric with respect to the origin.
Linear functions are odd degree functions. These type of functions do not have any symmetry with respect to the either axis.
However, the function y=mx+b
where m = ±1
b = 0
does have symmetry with respect to the origin.
A salesman earns 60% commission on all the merchandise that he sells. Last month he sold $400
worth of merchandise. How much commission (in dollars) did
he earn last month?
Answer:
$240.00
Step-by-step explanation:
please help asap!!!What is the value of angle D?
Hint: Angle D and the 68° angle are corresponding angles.
Answer:
112 degrees
Step-by-step explanation:
Since D and 68 degrees need to form 180 degrees, you would take the total sum that you would need, and subtract 180-68= 112 degrees, and that would be the answer
if you get it right ill bark brainliest
Answer:
The last one
Step-by-step explanation:
What is the slope of the blue line
Hunter walks 1 miles a a
day. How many miles does
he walk in 18 days?
Hot dog rolls are priced at 2 packages for $1.12 . How many packages can be bought for $3.36?
This is Direct proportions.
Answer:
6 I dont know I think thats it
To find 10% of a number all you need to do is move the decimal to the left once. Explain why this is true
When dividing by 10, 100, 1000 and so on, move the decimal point to the left as many places as there are 0s. So when dividing by 10, move the decimal point one place, by 100 two places, by 1000 three places and so on. If there is no decimal point in the original number, then imagine it at the end of the number.
What is the volume of a figure with that is 2 inches wide, 9 inches tall and 8 inches long?
ICE CREAM IS ALWASY THE ANSWER
Answer:2 x 9 x 8= y
Y=144
Step-by-step explanation:
What is the area of this triangle?
Answer:
b
Step-by-step explanation:
it is b because it is pointing at that angle
