Answer:
119.2
Step-by-step explanation:
Given the following :
Mean (m) = 100 years
Standard deviation (sd) = 15 years
closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28
Zscore = (X - mean) / standard deviation
1.28 = (X - 100) / 15
1.28 × 15 = X - 100
19.2 = X - 100
19.2 + 100 = X
X = 119.2
Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.
-------------------
Normal Probability Distribution
The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. Each z-score has a p-value associated, which represents the percentile of X.-------------------
Mean of 100 means that [tex]\mu = 100[/tex]Standard deviation of 15 means that [tex]\sigma = 15[/tex]The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.Thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 15(1.28)[/tex]
[tex]X = 119.2[/tex]
An age of 119 years is closest to the 90th percentile.
A similar problem is given at https://brainly.com/question/15686085
Find the next number in the sequence 1, 1/4, 1/9 , 1/16, 1/25
Which pair of undefined terms is used to define the term parallel lines?
Answer:
The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines
Step-by-step explanation:
Over which interval is the graph of y= cos(x) strictly increasing?
A. 0 B. 0 C.pi/2D. Pi< x <2pi
Answer:
D. [tex]\pi<x<2\pi[/tex]
Step-by-step explanation:
Given the function
[tex]y=cosx[/tex]
Kindly refer to the graph attached in the answer area.
Referring to the intervals [0, [tex]2\pi[/tex]].
It decreases from the interval [0, [tex]\pi[/tex]] and then starts increasing in the interval
[tex][\pi,2\pi][/tex].
Proving by taking derivative:
Taking derivative of the function, [tex]y=cosx[/tex]
[tex]\dfrac{dy}{dx}=-sinx[/tex]
In the interval [tex][\pi,2\pi][/tex], [tex]sinx[/tex] is negative i.e. [tex]sinx<0[/tex].
Therefore [tex]-sinx>0[/tex]
When, the derivative of a function is positive, then the function is strictly increasing.
So, the answer is:
D. [tex]\pi<x<2\pi[/tex]
what is the answers to
8x-2-5x+7=
Answer: 3x +5
Step-by-step explanation:
Group the variables first 8x-5x is 3x. Then look at the numbers -2+7 is 5.
You can't combine letters and numbers so it's as far as you can go.
Your cell phone plan costs $34.99 per month plus $0.16 for each text message you send or receive. You have at most $42 to spend on your cell phone bill. What is
the maximum number of text messages that you can send or receive next month?
The maximum number of text messages is
HELP NOW PLEASE
Answer:
262.5 messages per month
Step-by-step explanation:
Cost of plan = $34.99
Cost per message = $0.16
Maximum bill = $42
Maximum # of messages = $42/$0.16 = 262.5
If f(x) = 2x -1, what does f(10) equal?
-1
16
19
33
Asap pls
Step-by-step explanation:
f(x) = 2x - 1
f(10) = 2(10) - 1
= 20 - 1 = 19
5. What is the side length of a square with
an area of 7 square units?
Answer:
3.5 units
Step-by-step explanation:
Since it's a square, all sides are the same length. To find the two side lengths used to get the area, you divide 7 by 2.
7÷2=3.5 units
Simplify: -7 -(-3)
Sometimes help me
Are these expressions equivalent?
Answer:
Yes
Step-by-step explanation:
If you subtract the p4 and p2 you get p2. q5-q2 is q3. 39/3 is 13. Therefore those expressions are equivalent.
how do you add and subtract decimals??
Answer:
add ans subtract like normal
Step-by-step explanation:
Step-by-step explanation:
To add decimals, follow these steps: Write down the numbers, one under the other, with the decimal points lined up. Put in zeros so the numbers have the same length .Then add, using column addition, remembering to put the decimal point in the answer.
subtraction also in the same way only place the large no up and small down and do subtraction.
I hope this helps....
f(x) = -2x + 10
f(-1.5)
a 13
b -13
c 20
d -20
Answer:
f( -1.5) = 13
Step-by-step explanation:
F(-1.5)= -2(-1.5)+10
-2 times -1.5 = 3
3+10
f( -1.5) = 13
G is between E and H, and F is the midpoint of EG. If FG=2 and FH=8, find EH.
Answer:
EH = 10
Step-by-step explanation:
Because F is a midpoint, that means that FG and EF are congruent to each other. So, since FG = 2, that means that EF also equals 2. Because FH also includes FG, you can take the 2 from the FG, and then take that 2 away from 8. Now you know that GH = 6. All that is left is to add all 3 of the units together (2+2+6=10).
I NEED HELP .A group of 5 friends is out to dinner. Each of the friends will order the dinner special, and they have a coupon for $10 off the entire bill. Which equation can be used to find the total cost of all the dinners after the coupon is applied? A. 10d + 5 equals c B.v d minus 10 equals c C. 10d - 5 equals c D. 5 D + 10 equals c
Answer:
ok um im in sekond grqade sooory
Step-by-step explanation:
WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).
Answer:
9
Step-by-step explanation:
So first I created 2 distance forumlas and set them equal to each other
[tex]\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}[/tex]
then I simplified them
[tex](5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\[/tex]
[tex]36 + k^2 - 4k +4 = k^2 + 4[/tex]
[tex]-4k + 36 = 0\\[/tex]
[tex]4k = 36[/tex]
[tex]k = 9[/tex]
when k = 9, the two distances are equal
Solve: 4(x-1)-3(3x-2)=12(x+2)
Answer:
4x - 4 -9x + 6 = 12x + 24
arrange like terms
-5x +2 = 12x + 24
or, -17x = 22
x = - 22/17
Answer:
4x-4-9x+6=12x+24
4x-12x-9x= 4-6+24
-17 x= 22
X= -22/17
mark it as brainliest!!!
A Segment Has A Midpoint At (3,2)And One Endpoint At (4,-4) What Is The Ordered Pair Of The Other Endpoint ?
Answer:
Step-by-step explanation:
(x + 4)/2= 3
x + 4 = 6
x = 2
(y - 4)/2= 2
y - 4 = 4
y = 8
(2, 8) the other endpoint
are x and 12x like terms plz i need this!
Yes.
You can add them together to get 13x.
because you can add them together, they are alike terms.
Christina is packing different books into boxes. The paperback books weigh 0.8 pounds each. The hardcover books weigh 1.3 pounds each. Christina needs to pack the boxes so that there are at least 20 books in each box, but the boxes cannot weigh more than 30 pounds.
Identify Christina’s set of constraints.
Answer:
P + H ≥ 20
P*0.8 lb + H*1.3 lb ≤ 30lb
Step-by-step explanation:
Let's define H as the number of hardcover books.
Let's define P as the number of paperback books.
Now we have the restrictions:
"... so that there are at least 20 books in each box..."
Then:
P + H ≥ 20 (the total number of books per box is 20 or larger)
"...but the boxes cannot weigh more than 30 pounds."
P*0.8 lb + H*1.3 lb ≤ 30lb (the maximum weight that we can have in the box is 30 pounds)
Then the set of constraints is:
P + H ≥ 20
P*0.8 lb + H*1.3 lb ≤ 30lb
Notice that this system has a lot of possible solutions.
P = 20 and H = 0 is a solution
P = 21 and H = 0 is a solution.
P = 19 and H = 1 is a solution.
etc...
What is the distance between P(-4, 3) and Q(6, 1)? Round to the nearest tenth.
9.8
4.5
10.2
1.5
Answer:
10.2
How I found this answer:
4+6=10
3-1=2
10^2+2^2=104
The square root of 104 is 10.1980390272, which can be rounded to 10.2
Convert 255.38° to DMS
Can you help me please?
Answer:
the answer is 2.620
Step-by-step explanation:
the way u will get this is at the top there pattern is adding the bottom they are subtracting 2
write a calculation and a result that represents a number that is 5 greater than 3
Step-by-step explanation:
vt7vy7v fyy7ctyxt6zqDg gj
Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3 x 5 x 5
Answer:
c
Step-by-step explanation:
The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.
It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
The given number is as follows:
450
We need to write 450 as the product of its prime factors, which is 450.
⇒ 450 = 2 x 3 x 3 x 5 x 5
Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.
Therefore, the correct answer is option C.
Learn more about Prime Factorization here:
brainly.com/question/4184435
#SPJ7
A. 3
B. 4
C. 130
D. 35
Answer:
a) 3
Step-by-step explanation:
3+10= 13
hope this helped :)
Answer:
A. 3
Step-by-step explanation:
? + 10 = 13
? = 13 - 10
? = 3
!!!50 points!!
What are two other names for <2?
Answer:
C.
Step-by-step explanation:
Because R is the vertex and you always name a angle with its vertex in the middle, R would have to be in the middle. So the only possible answer is C.
Mack thinks that natural numbers are a subset of irrational numbers. Is Mack correct?
Answer:
He is incorrect.Because if they are irrational they are the opposite.
Step-by-step explanation:
Question: Write an expression for each statement to represent the quantity in terms of its context. 1. A car rents for $35 per day plus 15 cents per mile driven. 2. The sum of three consecutive even integers. 3. One-fifth of the sum of r and 7 minus the product of 9 and s 4. On a farm, the number of cows is 70 more than half the number of goats and sheep.
Answer:
Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.
Step-by-step explanation:
x²y + 2 xy² + 3x²y=?
Answer:
2xy(2x+y)
Step-by-step explanation:
what can you conclude about parallel lines with regard to the distance between them? use the word perpendicular your answer.
Answer: Hope this helps ;3
The shortest distance between two parallel lines is the length of the perpendicular segment between them. It doesn't matter which perpendicular line you choose, as long as the two points are on the lines.
Answer: Perpendicular is the length of the distance of parallel lines
Step-by-step explanation:
-5/7 (50/5 - 1/5) explanation too please