Using the normal distribution, it is found that:
a) The z-score associated with a 60th percentile score is of Z = 0.253.
b) The score associated with the 60th percentile is of 51.265.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 50, \sigma = 5[/tex]
The 60th percentile is X when Z has a p-value of 0.6, so X when Z = 0.253, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 50}{5}[/tex]
X - 50 = 5(0.253)
X = 51.265.
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Mara ran 3 km north and then 4 km east. she will finish her run by running directly home. what was the total distance of her run? a right triangle with side lengths 8 kilometers and 4 kilometers. a point at intersection of the side with length 3 kilometers and the hypotenuse is labeled mara's house. 5 km 7 km 12 km 14 km
Based on the calculations, the total distance of Mara's run is equal to: C. 12 km.
How to determine the total distance of Mara's run.In order to determine the total distance of Mara's run, we would solve for the length of the hypotenuse by applying Pythagorean's theorem and then add it to the other distances.
Mathematically, Pythagorean's theorem is given by this formula:
c² = a² + b²
Where:
c is the hypotenuse.a is the adjacent side.b is the opposite side.Substituting the given parameters into the formula, we have;
c² = 3² + 4²
c² = 9 + 16
c = √25
c = 5 km.
Now, we can determine the total distance of Mara's run:
Total distance = 3 + 4 + 5
Total distance = 12 km.
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Answer:
c 12
Step-by-step explanation:
Plsss help this big idea math
can you simplify 37/80
Answer:
Step-by-step explanation:
37 is prime, so it's not possible to reduce/simplify 37/80. 37/80 is the ratio of two integers. We could, of course, use a calculator to find the decimal equivalent: 0.4625, but this is not more accurate than the ratio 37/80.
et
h.
13. Think About the Structure Each shelf
holds 24 books. There are 8 shelves.
Which equation could you solve to find
how many books there are in all?
A 24 + 8 = b
w
sts?
B 24 - 8 = b
C24 x 8 = b
D 24 = 8 = b
This question has no solution, but if you go through the solving steps, there is an extraneous solution. What is the extraneous solution?
An extraneous solution is the root of a transformed equation that isn't the root of the original equation.
What is an extraneous solution?Your information is incomplete. Therefore, an overview will be given. It should be noted that an extraneous solution simply means a solution that is gotten from the solving of a problem but isn't a valid solution to the problem.
In order to find whether a solution is extraneous, you'll bed to plug it back into the equation and see if it works.
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what is 20 percent of 950
Answer:
190
Step-by-step explanation:
20 % of 950
= 20 % x 950
= ( 20 / 100 ) x 950
= ( 1 / 5 ) x 950
= 950 / 5
= 190
Pls help asap I’ll give brainliest
Also pls show works Plsss
Answer:
m = 125h If he painted 8 houses he would get $1000
Step-by-step explanation: you multiply the number of houses by the money earned for each house
8 × 125 = 1000
What is The Volume? Show Your Work Please
The volume of the given figure is 434 ft³. The volume of the figure is obtained in the two parts.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the given figure is;
[tex]\rm V = l_1 \times b_1 \times h_1 + l_2 \times b_2 \times h_2 \\\\ V= 7 \times 13 \times 4 + 2\times 5 \times 7 \\\\ V= 434 \ fT^3[/tex]
Hence, the volume of the given figure is 434 ft³.
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1.508 * 23.4 where do i put my decimal point for the answer
Answer:
35.2872
Step-by-step explanation:
To know where you would place the decimal point, count all the numbers behind the period or dot. If we count for BOTH numbers, we get 4 numbers behind the decimal place. This means for our answer we will have 4 numbers behind the dot.
I have no idea how to do this also explain
Answer: w =1 L=6
Step-by-step explanation:
What is Perimeter = 2 L + 2W
2L + 2B =14
L = 2W + 4
2(2W + 4) + 2W = 14
4W +8 +2W =14
6W=14-8
W=1
L=2W +4= 6
Factorise x³+3x²y+3xy²+y²-125
Answer: Heyaa!
Your Answer Is x+y = 5
Step-by-step explanation:
(x+y)^3 = 125
x+y = 5
Hopefully this helps you
- Matthew :)
Here is information about two savings account. Savemore compound interest 1. 25%each year. Highbrook compound interest 2. 1% for first year 0. 95%for each extra year. Abi is going to invest £5000 in one of these saving accounts for 3years. She wants to have as much money as possible in the account at the end of 3years. Which saving account should Abi choose
The Highbrook account which offers 25% compound interest each year is a better place to save as much money as possible.
What is interest?The term interest is the amount that is obtained as the return for money invested or the amount paid on top of a loan.
We can clearly see that the Highbrook account which offers 25% compound interest each year is a better place to save as much money as possible.
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A ___________ models the behavior of data displayed in a scatter plot.
A.)positive association
B.)negative association
C.)scatter plot
D.)trend line
Answer:
D
Step-by-step explanation:
What is the answer for x?
Step-by-step explanation:
[tex]180 = 70 + 90 + y \\ y = 20 \\ (x + y + 18) + 44 + 90 = 180 \\ y = 8[/tex]
Which expression represents the volume, in cubic units, of the composite figure? One-third(8)(6)(6) (8)(6)(4) One-third(8)(6)(10) (8)(6)(4) (8)(6)(4) – (One-third)(8)(6)(6) (8)(6)(4) – (One-third)(8)(6)(10).
The expression of Volume in cubic meter [tex]\frac{1}{3}[/tex] (8)(6)(6)+(8)(6)(4)
The correct option is (1)
What is Volume?Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains.
Volume will be,
V= Volume of rectangular pyramid + Volume of cuboid
Volume of rectangular pyramid= [tex]\frac{1}{3}[/tex] * base area* height
= [tex]\frac{1}{3}[/tex] * 6*8*(10-4)
=[tex]\frac{1}{3}[/tex] * 6*8*6
Volume of cuboid= l*b*h
= 4*6*8
So, Volume =[tex]\frac{1}{3}[/tex] * 6*8*6 + 4*6*8
= [tex]\frac{1}{3}[/tex] (8)(6)(6)+(8)(6)(4)
So, The expression of Volume in cubic meter [tex]\frac{1}{3}[/tex] (8)(6)(6)+(8)(6)(4).
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Parallelogram p q s r is shown. the length of p q is (2 x 5) centimeters and the length of r s is (4 x 1) centimeters. in parallelogram pqsr, what is pq? 2 cm 5 cm 6 cm 9 cm
The length PQ of the given parallelogram PSQR is determined as 9 cm.
What is the relationship between opposite sides of parallelogram?Opposite sides of a parallelogram are parallel (congruent).
PQ = RS
2x+5 = 4x+1
2x-4x = 1-5
-2x = -4
x = -4/-2
x = 2
Calculate the length PQPQ = 2x+5
PQ = 2(2)+5
PQ = 4+5
PQ = 9cm
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Answer: D. 9 cm
Step-by-step explanation: Trust Me!
The answer is correct on Edge. Thank you. :)
You have been advised in a positive manner.
HELP PLEASE!! i need help finding the mean!!!!
Answer:
If I did this wrong do tell.
Okay so to find your mean you only have to do 2 steps:
Step 1: Add up all your numbers.
31, 4, 55, 68, 7002
= 7150
Step 2: Divide your answer by how many numbers there are.
7150 ÷ 5
= 1430
Step-by-step explanation:
Hope this helps!
From your neighborhood softie
My coffee mug weighs 200 g and hold 260cm 3
If I fill it with water it will weigh ??? g
If the mass of the water is 260 grams. Then the weight of the water and the cup will be 460 grams.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
mass = density × volume
m = ρv
My coffee mug weighs 200 g and holds 260 cm³.
If I fill it with water. Then the total weight will be
The density of the water will be 1 g/cm³.
Then the total weight will be
w = 200 + 1 x 260
w = 200 + 260
w = 460 g
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Answer: your coffee mug weighs 460g
Step-by-step explanation:
1cm3=1g of water
Find the measures of angles Q and S. Number 7!
Step-by-step explanation:
by the way, you are completely and exactly right at 6.
Q is the inscribed angle of the (inner) arc angle TR.
and as such it is half of that arc angle TR.
S is now on the same side of the circle center as the segment TR. so, we have to flip the situation around :
S is half of the outside arc angle between T and R.
as the sum of the inner and outside arc angles are 360° (the full circle), the sum of half of their values is then
360/2 = 180°
so, yes,
x + 2 + 9x - 7 = 180
10x - 5 = 180
10x = 185
x = 18.5
Q = x + 2 = 18.5 + 2 = 20.5°
S = 9x - 7 = 9×18.5 - 7 = 166.5 - 7 = 159.5°
Plxxx help me i'm giving brainlyest
Answer:
Words for dividing:
sharedeachfor everyperThe problem is asking you to divide, because the key word is, "fill empty egg cartons that each hold"
So Mary will fill each carton with 12 eggs each until she runs out.
[tex]216 / 12[/tex]
12 goes into 216 eighteen times exactly.
[tex]12 * 18 = 216[/tex]
and the result is(R means leftovers, which are none here)...
[tex]18~R~0[/tex]
Answer:
18 is the correct answer
Question
Which numbers are equivalent to 25,000−1.56×103?
Select all correct numbers.
Answer: B, E
Step-by-step explanation:
Combine these radicals - square root 5 - 3 square root 5
Answer:
-1√5-3√5=(√5)(-1-3)=(√5)(-4)=-4√5
Step-by-step explanation:
if you combine the radicals, you will receive the answer that is shown above.
Answer:
[tex]-4\sqrt{5}[/tex]
Step-by-step explanation:
Given expression: (square root 5) - (3 square root 5)
⇒ [tex]-\sqrt{5} - 3\sqrt{5}[/tex]Since we have √5 common in both terms, let's factor √5.
⇒ [tex]\sqrt{5} - 3\sqrt{5}[/tex]⇒ [tex]\sqrt{5} \times (-1 - 3)[/tex]Finally, we can simplify;
⇒ [tex]\sqrt{5} \times (-4)[/tex]⇒ [tex]-4\sqrt{5}[/tex]Therefore, the combined radical of (square root 5) - (3 square root 5) is [tex]-4\sqrt{5}[/tex]
I need help asap, what is the value of x and the measure of arc CDE?Find the following values for circle P
The value of the x is 3 and the measure of the arc is 154 degree if the angle APE is 90 degree.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a circle shown in the picture.
The angle APE = 90 degree (from the figure)
25x + 15 = 90
25x = 75
x = 3
The measure of arc CDE = (20x + 4) + (33x - 9) = 53x -5
= 53(3) -5
= 154 degree
Thus, the value of the x is 3 and the measure of the arc is 154 degree if the angle APE is 90 degree.
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Find the measure of ∠.
Answer:
-13x+40
Step-by-step explanation:
Simplify 7x-5(4x-8)
Expand:7x -20x+40
-13x+40
In calc, a mathematical equation is called a ____________. a. calculation b. symbol c. formula d. cell name
Answer:
formula? sorry if im wrong
Step-by-step explanation:
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A B
C D F
Frequency 5
10
15
3
2
Find the probability that a student earns a
grade of B or C.
p = [?]
Answer:
Step-by-step explanation:
5+10+15+3+2 = 35
25/35
25/35 =0.714285714
so 71.4% ---> 71%
Or in decimal form 0.71
Solve it ......
[tex]3x+4=28[/tex]
- - - - - - -- - - - - - - - - - -- - - - - - - - - - - - - - --
[tex]\blue\textsf{\textbf{Question:-}}}}[/tex]
Solve 3x+4=28
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
First, subtract 4 on both sides:-
[tex]\tt{3x=28-4}[/tex]
[tex]\tt{3x=24}[/tex]
Divide by 3 on both sides:-
[tex]\dashrightarrow\bigstar\boxed{\boxed{\bold{x=8}}}\dashleftarrow[/tex]
Good luck.- - - - -- - -- - - - - - - - - - - - - - -- - - - - -- - - - - - - - - - - - - - - - - - - - - - -
Now we have to,
Solve for the required value of x,
→ 3x + 4 = 28
→ 3x = 28 - 4
→ 3x = 24
→ x = 24/3
→ [ x = 8 ]
Hence, the value of x is 8.
Gavin is selling water bottles at a baseball game to help raise money for new uniforms. before the game, he buys 75 water bottles for a total of $25. at the game, he sells all of the bottles for $1.20 each. how much profit does gavin make?
The amount of profit Gavin made in selling the water bottles at the base ball game is $65.
How to find profit?
He bought 75 bottle water for a total of $25.
He sales all of the bottles for $1.20 each.
Therefore,
profit = selling price - cost price
Hence,
cost price = $25
selling price = 1.20(75) = $90
Finally,
profit = 90 - 25 = $65
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Find the Nth term of this number sequnce
2,4,6,8
[tex]\text{It is an arithmetic series.}\\\\\text{First term,}~ a = 2\\\\\text{Common difference,}~ d=4 -2 = 2\\\\\text{Nth term} = a + (n -1) d\\\\~~~~~~~~~~~~~=2+(n-1)2\\\\~~~~~~~~~~~~~=2+2n-2\\\\~~~~~~~~~~~~~=2n[/tex]
Mariah has some toy horses. 18 of her toy horses are brown. The other toy horses are not brown. She has 39 toy horses in all. How many toy horses are not brown?
Answer:
21 of them aren't brown
How 2 solve:
Subtract
39-18= 21