Answer:
1)non linear
2)linear
3)non linear
4) not a function
Find the probability of being below 514 if the mean of a normal distribution is 474 and the standard deviation is 32.
Question 13 options:
.8461
.8944
.1056
.1539
Second option is correct. That is the probability of being below 514 with the mean 474 and standard deviation 32 is 0.8944.
What is normal distribution?A function that represents the distribution of many random variables as a symmetrical bell shaped graph.
The normal distribution is a probability distribution, so the total area under the curve is always 1 or 100%.
What is z-score?A z-score is a numerical measurement that describes a value's relationship to mean of a group of values.
Formula for calculating z-scorez = (x -μ)/σ
where,
z is standard score
x is observed value
μ is mean of sample
σ is standard deviation of sample
According to the given question
we have
x = 514
μ = 474
and
σ =32
therefore,
Z- score will be
Z = (514 -474)/32 = 1.25
So, the area under the normal distribution curve z<1.25
⇒ P(x<1.25) = P(Z<1.25) = 0.894
Hence, second option is correct one. That is, the probability of being below 514 if the mean of a normal distribution is 474and the standard deviation is 32 is 0.894.
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A sum is invested in a building society at 4% interest per annum and after 3 years
the value of the investment is £562.43. How much was originally invested?
Answer:
Original value of investment = £500 (Approx.)
Step-by-step explanation:
Given:
Rate per year = 4%
Number of year = 3 years
Value of investment after 3 year = £562.43
Find:
Original value of investment
Computation:
A = P[1+r]ⁿ
562.43 = P[1+4%]³
562.43 = P[1+0.04]³
562.43 = P[1.04]³
562.43 = P[1.1248]
Original value of investment = 562.43 / 1.1248
Original value of investment = 500.026
Original value of investment = £500 (Approx.)
a 6m long ladder leans against a building.the ladder makes an 59° with the ground
give the right answer and the explanation plss
Answer:
5.143m
Step-by-step explanation:
Since we are not asked what to find, we can find the height of the building
Given
Length of ladder (hypotenuse) = 6m
angle of elevation = 59°
Required
Height of building H (opposite)
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 59 = H/6
H = 6sin59
H = 6(0.85716)
H =5.143
Hence the height of the building is 5.143m
if RT= 19 meters, find LW.
Answer:
if RT = 19 meters, Find LE
The length of the prism is m.
The width of the prism is m.
The height of the prism is m.
The prism holds a total of cubes.
The volume is m3.
Answer:
Solution given.
The length of the prism is 5m.
The width of the prism is 4 m.
The height of the prism is 3m.
The prism holds a total of5*4= 20 cubes.
The volume is l*w*h=5*4*3= 60m3.
Answer:
A prism with a length of 4 meters, height of 3 meters, and width of 5 meters.
The length of the prism is
4 m.
The width of the prism is
5 m.
The height of the prism is
3 m.
The prism holds a total of
60 cubes.
The volume is
60 m3.
Step-by-step explanation:
aka: B, B, A, D, D
Which statement about human activity and the environment is NOT true?
1 point
Humans knowingly create environmental disasters.
Humans affect ecosystems in many ways.
Humans can create solutions to disasters.
Humans have altered ecosystems for a long time. WHICH ONE IS IT
Humans knowingly create environmental disasters.
Step-by-step explanation:
Raina bought three books at a bookstore. Here are their prices (in dollars). 18.8, 4, 9.38 What is the total amount Raina paid at the bookstore?
Answer:
$32.18
Step-by-step explanation:
It's really just addition. No explanation necessary.
what is the domain of the relation enter each value on the same line separated by commas. consider the relation { (9,1), (4,5), (6,2), (8,6), (1,2)}
Answer:
D = {1, 4, 6, 8, 9}
Step-by-step explanation:
A relationship maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, set of the outputs).
Such that the usual notation is: (x, y)
this says that the relationship maps the element x into the element y.
In this case, we have the relation:
" { (9,1), (4,5), (6,2), (8,6), (1,2)}"
The inputs are the first value for each pair, then the set of the inputs (also called the domain) is:
D = {9, 4, 6, 8, 1}
And we can rewrite this in order to get:
D = {1, 4, 6, 8, 9}
Simplify −5(2x−6)+25x . Write your answer in factored form.
Answer:
-5(2x-6)+25x
-10x+30+25x
25x-10x+30
15x+30
15(x+2)
Step-by-step explanation:
The factored form of the given expression is 15(x + 2).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
−5(2x − 6) + 25x
It can be simplified as follows,
−5(2x − 6) + 25x
= -10x + 30 + 25x
= 15x + 30
= 15(x + 2)
Hence, the given expression can be simplified in factored form as 15(x + 2).
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An isosceles triangular prism has a triangular end with a base
of 8 inches, an altitude of 3 inches, and a side length 5 inches.
The height of the prism is 9 inches. What is the surface area of
the prism?
Answer:
180
Step-by-step explanation:
A comic costs $3 and a mystery series costs $5 each.If Ken spend all his money on the comics, he has $6 left. If he wants to buy the mystery series, he needs another $8. How many comics or mystery books is Ken buying? How much money does he have?
Whoever posts this on jiskha gets 50 points
Answer:
7 books
$27
Step-by-step explanation:
3x + 6= 5x - 8
3x - 5x = -14
-2x= -14
x= 7 books
he has (3×7)+6= $27
Let comics be c and mystery be m
Cost be y
c=m
The equations are
y=3m+6y=5m-8Solve for m
3m+6=5m-82m=18m=7booksHe has
7(3)+621+6$278 divided by 3 over 5
Answer:
15.625
Step-by-step explanation:
5x5x5 =125 /8 = 15.625
Answer:
13.33333333 or 40/3
Step-by-step explanation:
hope this helps
have a great day/night
(2,5) (0,-1)
whats the slope?
Answer:
Step-by-step explanation:
An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)
In this case you have two points (2,5) and (0,-1)
2 = x1 (cause it’s the first x)
5 = y1 (cause it’s the first y)
0 = x2 (second x)
-1 = y2 (second y)
So the slope would be
(5-(-1))/2-0= 6/2 = 3
Answer For Correctly Brainiest!
Answer:
48 [tex]in^{3}[/tex]
Step-by-step explanation:
Surface Area (SA) of a pyramid = [tex]\frac{bh}{3}[/tex]
Surface Area = 36 · 4/3
Surface Area = 144/3
Surface Area = 48
Compare the triangles and determine whether they be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Write your answer in the box.
========================================================
Explanation:
The sides shown by the single tickmark are the same length. That's one "S" of "SSS".
The sides shown with double tickmarks are the same length. This is another "S" of "SSS".
Lastly, the third unmarked sides of each triangle overlap together perfectly. We consider this a shared side. They are the same length due to the reflexive property. This is the third "S" of "SSS".
The order of the "S" terms mentioned above doesn't matter. All that matters is that we have three pairs of congruent sides. This is enough to use the SSS congruence theorem to prove the two triangles are congruent.
--------------
Extra info:
We don't have any information about the angles, so we cannot use ASA, SAS, or AAS.
We can't use HL because that only applies to right triangles.
PLEASE HELP FIRST TO ANSWER GETS BRAINLIEST
Answer:
4
Step-by-step explanation:
The initial value is the y value when x=0
When x=0, y=4
help want to pass this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3.14 yd²
Step-by-step explanation:
Area = πr² = π(1)² = 3.14 yd²
Answer:
3.14
Step-by-step explanation:
because the area of a circle is pi × r^2, we can just plug in the value of r which is 1 yard
A = pi × (1)^2
A = pi × 1
A = pi or 3.14
please help i really need help on this homework
====================================================
Explanation:
a = 9 and b = 40 are the legs of the right triangle
c is the unknown hypotenuse
Use the pythagorean theorem to find c
a^2 + b^2 = c^2
9^2 + 40^2 = c^2
81 + 1600 = c^2
c^2 = 1681
c = sqrt(1681)
c = 41 meters is the length of the hypotenuse
Heather save 15% buying concert tickets online. If the tickets are regularly $95 how much did Heather pay for them online
Answer:
$80.75
Step-by-step explanation:
95 * 0.15 = 14.25
95 - 14.25 = 80.75
hope this is helpful
Maria wants to plant a tulip garden in her backyard. She can plant
10 rows of tulips with 9 tulips in each row.
How many tulips can Maria plant in all?
Heather's family has 2 adults and 3 kids. The tickets to the musical cost them $72.85.
Carl's family, on the other hand, paid $94.75 for 2 adults and 5 kids. How much higher
was the cost of an adult's ticket compared to a kid's ticket? Let the cost of an adult's
ticket be x and the cost of a kid's ticket be y.
Answer:
$9.05
Step-by-step explanation:
x = $adult
y = $kid
2x + 3y = 72.85 (Heather)
2x + 5y = 94.75 (Carl)
subtract the equations to get:
-2y = -21.90
y = 10.95
solve for 'x':
2x + 3(10.95) = 72.85
2x + 32.85 = 72.85
2x = 40
x = 20
Difference between 20 and 10.95 is $9.05
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
The graph on the right. y= 5, 6, 7, 8
For an important test, Juan studied for 2 h 20 min, while Ken studied for two thirds of an hour. What percent of Ken's study time was Juan's?
Will give brainliest stars and thx if the answer is right
=========================================================
Explanation:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
2 hrs + 20 min = 120 min + 20 min (add 20 min to both sides)
2 hrs, 20 min = 140 min
Juan studied for 140 min
---------------------
Ken studied for 2/3 of an hour, so he studied for (2/3)*60 = 120/3 = 40 min
We see that Juan studied more than Ken, so that must mean Juan's study time as a percentage of Ken's study time is over 100%
This is because
100% of 40 min = 1.00*40 = 40 min200% of 40 min = 2.00*40 = 80 min300% of 40 min = 3.00*40 = 120 minand so on
We divide Juan's time by Ken's time to get: 140/40 = 3.5 = 350%
350% of Ken's study time was Juan's study time.
In other words, if we take 350% of the 40 min figure, then we get 3.5*40 = 140 which represents Juan's study time.
If your teacher asked the reverse of this, and instead asked "what percent of Juan's study time was Ken's?", then the answer would be 40/140 = 0.2857 = 28.57% approximately.
2x+15=33 solve for x
Answer:
x = 9
Step-by-step explanation:
2x + 15 = 33
2x = 33 - 15
2x = 18
x = 18/2 = 9
Answer:
x=9
Step-by-step explanation:
2x+15=33
Subtract 15 from each side
2x+15-15=33-15
2x=18
Divide by 2
2x/2 = 18/2
x = 9
Multiply 4(x+6)/(x−2)⋅(x+10)/24(x+6)
Answer
x+10/6(x-2)
Step-by-step explanation:
I took the quiz
Solve for x solve for x solve for x
Answer:
10.2
Step-by-step explanation:
The sum of the three angles is 180, since they form a straight line
8x-15 + 58+ 3x+25 = 180
Combine like terms
11x +68 = 180
Subtract 68 from each side
11x+68-68= 180-68
11x =112
Divide by 11
11x/11 = 112/11
x = 10.181818181
x = 10.2
Given info:-In the given figure, points A,B and C are collinear or they are straight line. Where angle ABC , angle DBE and EBC are in formed of linear pair that mean they are 180. And here we are going to find out the value of X?
angle ABD+ angle DBE + angle EBC = 180° {Angles of a linear pair]
⇛(8x-15)°+(58)°+(3x+25)° = 180°
Remove all the brackets in LHS.
⇛8x° - 15° + 58° + 3x° + 25° = 180°
⇛11x° - 15° + 58° + 25° = 180°
⇛11x° - 15° +83° = 180°
⇛11x° + 68° = 180°
⇛11x° = 180° - 68°
⇛11x° = 112
Shift the number 11° from LHS to RHS.
⇛x = 112÷11 ⇛112/11 =
The value of x = 10.181818.. = 10.18 bar
Additional comment:
The interior angles on the same side to the transversal are supplementary.
also read similar questions: Select the statement that is missing from the proof below showing that vertical angles formed by intersecting lines are congruent. ∠ABD and ∠ABC form a linear p...
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please help i need it asapppppp
Answer:
c
Step-by-step explanation:
hey! i’ll give brainliest please help
Answer:
D
Step-by-step explanation:
hey
Answer:
I thing answer is no. D .....
Please helppppppppppppppppppp :) .
Answer and Step-by-step explanation:
I think this is the correct answer (in picture):
This is because you can either get Heads or Tails, so once you flip it once, you just flip it again and you will get either heads or tails.
#teamtrees #PAW (Plant And Water)
Ethan school has a sport Field with an area of 6450.35 square yards. If the length of the field is 90.85 yards, what is the width of the field
Answer:
6540.85
6450.35+90.85=6540.85