Answer:
631
Step-by-step explanation:
15+(0.05x131)=21.55
131+500=631
SAT scores are normally distributed, with a mean of 500 points and a
standard deviation of 100 points. Suppose you take the SAT. Several weeks
later, you receive your results, which show that you reached the 90th
percentile for the math portion.
Recalling that SAT scores are always expressed as multiples of 10, how many
points did you get on the test?
A.600
B.630
C.130
D.590
E.690
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
What do you mean by standard deviation?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
WE have been given that SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points.
The solution as follows;
Let be X: scores of SAT
P(X ≥ x) = 0.9
P((X - 500)/100 ≥ (x - 500)/100) = 0.9
P(Z ≥ z) = 0.9
z = 1.28
1.28 = (x - 500)/100
128 + 500 = x
x = 628
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
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Use the table below to answer questions on the number of TV sets per household in the United States. # TV Sets 0 1 2 3 4 5 or more Prob. 0.092 0.275 0.101 0.194 0.035 0.303 a. Verify that this is a probability model. b. Find (3 4) c. Find ( ) d. Find (4) e. Is (4) an unusual event? Why?
From the given discrete probability distribution, we have that:
a) Because the sum of all probabilities is of 1, we can verify that this is a probability model.
b) P(3 or 4) = 0.229.
c) P(at least one) = 0.908.
d) P(4) = 0.035.
e) Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.
What is the discrete probability distribution?The probability distribution in this problem gives the probability of a household having a number of TV sets, given as follows:
P(X = 0) = 0.092.P(X = 1) = 0.275.P(X = 2) = 0.101.P(X = 3) = 0.194.P(X = 4) = 0.035.P(X = 5) = 0.303.For item a, we have to add all the probabilities, hence:
0.092 + 0.275 + 0.101 + 0.194 + 0.035 + 0.303 = 1.
Because the sum of all probabilities is of 1, we can verify that this is a probability model.
For item b, we take the probabilities from the table as follows:
P(3 or 4) = P(X = 3) + P(X = 4) = 0.194 + 0.035 = 0.229.
For item c, we follow a similar procedure to item b, taking the probabilities from the table as follows:
P(at least one) = 1 - P(X = 0) = 1 - 0.092 = 0.908.
For item d, from the table, we have that:
P(4) = 0.035.
For item e, we have that:
P(X ≥ 4) = 0.338.P(X ≤ 4) = 0.662.Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.
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HELP PLEASEEEEE!!!!!!
Answer:
Step-by-step explanation:
(0.1)²=0.01
(0.2)²=0.04
(0.3)²=0.09
(0.4)²=0.16
(0.5)²=0.25
(0.6)²=0.36
(0.7)²=0.49
(0.8)²=0.64
√0.5 or √0.50 is between √0.49 and √0.64
or
0.7 and 0.8
(0.01)²=0.0001
(0.02)²=0.0004
(0.03)²=0.0009
(0.04)²=0.0016
(0.05)²=0.0025
so √0.002 or √0.0020 is between √0.0016 and √0.0025
or between 0.04 and 0.05
34. La información nutrimental de
cierto pan dulce señala que una
porción equivale a 7 g. ¿A cuánto
equivale "peso neto", en onzas?
Considera 1 onza (oz) = 28.3 g
Answer:
7 gramos = 0,247 onzas
Explanation
Fórmula
para obtener un resultado aproximado, divida el valor de la masa por 28,35
7 ÷ 28,35
= 0.247 onzas
URGENT PLEASE HELP!!!!! WILL GIVE BRAINLIEST!!!
The coordinates of parallelogram ABCD are A(0, 0), B(a, 0), C(
,
), and D(0, b).
The coordinates of the midpoint of AC¯¯¯¯¯ are (
,b2).
The coordinates of the midpoint of BD¯¯¯¯¯ are (a2,
).
The midpoints of the diagonals have the same coordinates.
Therefore, AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.
Answer:
a, b, a/2, b/2
Step-by-step explanation:
The coordinates of C are (a,b).
You find the midpoint by taking the averages of the coordinates.
The third blank is a/2.The fourth blank is b/2.Indicate type of fraction: 10/9
This fraction is an improper fraction.
In improper fractions, the numerator is greater than the denominator
1=1cm x 1\2 cm x 2cm
There isn't a ton of info provided in your question, however, I believe the solution is 1 = 1.
The shortest side of a triangle is 10 feet shorter than the Longests side. The middle side is 5 feet shorter than the longest side. Find the sides of this triangle if the perimeter is 255 yards. Round to one decimal place if needed.
The length of the longest side is 90 feet, length of the shortest side is 80 feet and the length of the middle side is 85 feet.
Given, the shortest side of a triangle is 10 feet shorter than the Longest side. The middle side is 5 feet shorter than the longest side.
let the longest side be x feet.
shortest side be x ₋ 10 feet.
middle side be x ₋ 5 feet.
the perimeter of the triangle is 255 feet.
a ₊ b ₊ c = 255
x ₊ x ₋ 10 ₊ x ₋ 5 = 255
3x ₋ 15 = 255
3x = 255 ₊ 15
3x = 270
x = 270/3
x = 90
substitute x value in : x ₋ 10
hence the length of the shortest side is 90 ₋ 10 = 80 feet.
similarly, x ₋ 5 = 90 ₋ 5 = 85 feet is the length of the middle side.
hence we get the desired results.
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Round 2,159 to the nearest hundred
Answer: 2200
Hope it helps!
Find the distance between the two points
(-1,1)
(2,-4)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Enter
The distance between the two points is √ [37]
given,
A(-4,1) ; B(2,0)
For the distance,
d(A,B) = √(x B - x A)² + (y B - y A)²
d(A,B) = √(2+4)² + (0-1)²
= √6² + 1² = √36 + 1
= √37
therefore the distance between the two point is √37.
Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
We can apply the Pythagoras theorem to derive the distance between two points formula. We can take the line joining the two points as the hypotenuse of a right triangle formed in the cartesian plane. The length of the hypotenuse can be calculated using the Pythagorean theorem and the given coordinates of two points to derive the distance between two points formula.
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An inlet pipe can fill Reynaldo's pool in 5 hours, while an outlet pipe can empty it in 8 hours. In his haste to surf the internet, Reynaldo left both pipes open. If he discovered his error after an hour-long surf and closed the outlet pipe, how much longer would be needed to fill the pool?
Answer:
4.625 hours
Step-by-step explanation:
Since it takes 5 hours for the inlet pipe to fill the pool, just using the inlet pipe alone will fill [tex]\frac{1}{5}[/tex] of pool in 1 hour
Since it takes 8 hours for the outlet pipe to empty the pool, just using the outlet pipe alone will empty [tex]\frac{1}{8}[/tex] of pool in 1 hour
Let us assume the pool capacity is 40 gallons
We choose 40 because it is the LCM of 5 and 8 so we can get integer values
Inflow rate = 40/5 = 8 gal per hour
Outflow rate = 40/8 = 5 gal per hour
Net rate = 8-5 = 3 gal per hour if both pipes are open
In one hour with both pipes open, the pool will have 3 gallons of water. Therefore remaining water to fill the pool is 40-3 = 37 gallons
After 1 hour, the outlet pipe is closed and only inlet pipe is open. Therefore inflow rate is 8 gal/hour and outflow rate is 0 gal/hour
So net inflow rate = 8 - 0 = 8 gal/hour
To fill 37 gallons using this rate would be 37/8 = 4.625 hours
-4 + 8[tex]\frac{3} {8}\frac{6} {7}[/tex]
It should be noted that the value of -4 + 8 36/87 will be 4 12/29.
How to calculate the fraction?It should be noted that based on the information illustrated, the fraction given is illustrated as:
= -4 + 8 36/87
= -4 + 8 12/29
= 4 12/29
Therefore, it should be noted that the value of -4 + 8 36/87 will be 4 12/29.
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8 There are 3 horses in a field.
Each horse has 4 legs. Write
an addition equation and a
multiplication equation to find
the number of legs on 3 horses.
Add:
Multiply:
The length of a rectangular photograph is 9 in more than the width. If the area is 90 in2, what are the dimensions of the photograph?
Part 1 of 2
The photograph is
Part 2 of 2
The photograph is
in wide.
in ng.
X
X
MacBook Air
Submit Assignm
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Accessa
The photograph is 6 inches wide and 15 inches long.
What is the range equation
Select all expressions below that are equivalent to (25/50)^15
A. (25^15/50^15)
B. 25^15/50
C. (50/25)^-15
D. (0.5)^15
E. 2^15
F. (25^5/50^5)^3
(hint: 4 of them are correct)
.
A table with 1 column. The column has a header of "Scores" with the following numbers: 56, 82, 90, 83, 79, 59, 71, 66, 53, 94, 78, 80, 67, 65, 86, 76, 83, 92, 69, 69, 91, 68, 78, 87, 87, 81, 87, 76, 96, and 83.
Based on the scores given in the table, the mean of the scores can be found to be 78
How to find the mean?The mean of the scores can be found by adding all the scores together and then dividing the sum by the number of scores in the table.
The sum of the scores is:
= 56+ 82 + 90 + 83 + 79 + 59 + 71 + 66 + 53 + 94 + 78 + 80 + 67 + 65 + 86 + 76 + 83 + 92 + 69 + 69 + 91 + 68 + 78 + 87 + 87 + 81 + 87 + 76 + 96 + 83
= 2,332
The mean is:
= 2,332 / 30
= 77.73
= 78
Question is:
What is the mean of the scores?
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Prove that :-
[tex] \quad \leadsto \quad \bf \zeta ( z ) = \displaystyle \bf \sum_{\bf n=1}^{\infty} \bf \dfrac{1}{n^x} \cdot e^{-iy \cdot log ( n )} [/tex]
Where , z = x + yi
Riemann Hypothesis :)
We have
[tex]e^{-iy \log(n)} = e^{\log(n^{-iy})} = n^{-iy}[/tex]
and
[tex]\dfrac1{n^x} \cdot e^{-iy \log(n)} = \dfrac{n^{-iy}}{n^x} = \dfrac1{n^{x+iy}} = \dfrac1{n^z}[/tex]
The sum
[tex]\displaystyle \sum_{n=1}^\infty \frac1{n^z}[/tex]
is exactly the definition of the Riemann zeta function [tex]\zeta(z)[/tex].
Jay rides his bike 634 miles in 13 hour.
What is his average speed?
Answer:
49 mile per hour
Step-by-step explanation:
Divide 634 miles by 13 hours to get 48.7, which we can round to the nearest mile (49) to match the significant digits in the problem.
A marching band uses a grid to determine the members positions. Juan starts at (2,2). Every 15 seconds, he moves 4 yards east and 3 yards north.
After 15 seconds Juan moves (6, 5).
In the given question,
given that,
A marching band uses a grid to determine the members’ positions.
Juan starts at (2, 2).
Every 15 seconds, he moves 4 yards east and 3 yards north.
2 + 4 = 6.
2 + 3 = 5.
so after 15 seconds Juan moves (6, 5).
Hence we get the (6,5) as the main answer.
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Find 3 ratios that are equivalent to the given ratio 12:16
Answer:
answer.3.4,6.8,9.12
Step-by-step explanation:
get 12+16=28.
12/28=6/14=3/7
16/28=8/14=4/7.
now get 3/7and 4/7.
subtruct 3 from 12 and also subtract 4 from 16 to get 9.12
Let a = any rational number. Is the absolute difference if a is a positive or a negative number? Explain
Answer: Is the absolute difference if a is a positive number, when a = any rational number.
Step-by-step explanation:
Define Positive numbers:
Positive numbers are the numbers which are greater than zero that lies on the right side of the number line.
Example: 0, 1, 2, 3, 4…
Define Negative numbers:
Negative numbers are the numbers which are less than zero that lies on the left side of the number line.
Example: … -5, -4, -3, -2, -1, 0.
Given data,
Let a = any rational number. Is the absolute difference if a is a positive number.
Because,
Let us take, a = any rational number
We have to know → Is the absolute value of a different if a is a positive number or negative number.
Define Modulus (|x|) of a number :
The modulus or absolute value of a number means the distance that goes from the number to its origin, this is, to the point 0 (zero) that makes part of the real straight line. For instance, the distance from point 6 to its origins is 6, but the distance from point -6 to its origins is also 6.
The modulus operator formula is :
|x| = { x if x ≥ 0 and -x if x ≤ 0
Given question,
Assume any rational number x/y
Using the Modulus property :
|x| = { x/y if x/y ≥ 0 and -x/y if x/y ≤ 0
Therefore, if the rational number is less then zero (say -2).
Then the absolute value will be = - (- 2) = 2
and for any rational number greater than 0 (say 2)
Then its absolute value will be = 2 only.
Hence,
Is the absolute difference if a is a positive number, when a = any rational number.
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the gram is a measure of_____ because ____?
The gram is a measure of Mass because weight that is used especially in the centimeter-gram-second system of measurement
gram (g), also spelled gram, unit of Mass or weight that is used especially in the centimeter-gram-second system of measurement (see International System of Units).
Mass is the quantity of matter in a physical body. it's also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied. An object's mass also determines the strength of its gravity to other bodies.
The SI base unit of mass is the kilogram (kg). In physics, mass isn't the same as weight, although mass is often determined by measuring the object's weight using a spring scale, instead of a balance scale and comparing it directly with known masses. An object on the Moon would weigh but it does on Earth because of the lower gravity, but it might still have the same mass. this is often because weight is a force, while mass is the property that (along with gravity) determines the strength of this force.
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Solve the inequality: r divided by negative 3.5 is greater than 9.1 for r.
A: r < −31.85
B: r > −31.85
C: r < −2.6
D: r > 2.6
The solution to the inequality, r/-3.5 > 9.1 is: A: r < −31.85.
How to Solve an Inequality?Just like a normal algebraic equation is being solved, so is an inequality. An inequality is solved by finding the value of the variable that makes the inequality true.
Given the inequality, r/-3.5 > 9.1, follow the steps below to find the possible values of r in the inequality:
r/-3.5 > 9.1
Multiply both sides by -3.5, then change the inequality sign ">" to "<" since we are dividing by a negative number:
r/-3.5(3.5) < 9.1(-3.5) (multiplication property of equality)
r < −31.85
Therefore, the solution to the inequality, r/-3.5 > 9.1 is: A: r < −31.85.
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Answer:
a
Step-by-step explanation:
A glass pitcher contains 65 ounces of juice which is poured equally into six glasses. How many ounces of juice does each glass contain?
Answer: 10.83334 ounces or 10 5/6
Step-by-step explanation:
Essentially you would divide 65 into six groups. Because you are dividing the amount of liquid into six cups. Hope this answers your question, ask me any other questions you might have.
20(1/2x-2)+40(3/4y-4)
The coordinates of M are(_,_)and the perimeter of Triangle MOl is__
units. For the perimeter, round your solution to the nearest tenth of the exact value.
Distance between the two (x₁, y₁) and (x₂, y₂) coordinates are-
d = √[(x₁ - x₂)² + (y₁ - y₂)²]
The coordinates of M taken from the graph are -
M = (1.5, 3)
Now, for calculating the perimeter of triangle MOI is-
First find the distance between points O and I.
O = (0, 0) and I = (3, 0)
OI = √[(3 - 0)² + (0 - 0)²]
OI = 3 units.
The distance between MI;
MI = √[(3 - 1.5)² + (0 - 3)²]
MI = √[(1.5)² + (-3)²]
MI = √(2.25 + 9)
MI = 3.35 units
Now, find distance between OM
MO = √[(1.5 - 0)² + (3 - 0)²]
MO = √[(1.5)² + (3)²]
MO = √(2.25 + 9)
MO = 3.35 units
Thus, the perimeter of the triangle MOI is;
Perimeter = OI + MO + MI
= 3 + 3.35 + 3.35
Perimeter = 9.7 units.
Thus, the perimeter of the Triangle MOI is 9.7 units.
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Solve w .you must write your answer in fully simplified form
12=15w
4. The sum of three consecutive odd integers
is 189. What are the
integers?
Answer:
61,63,and 65
Step-by-step explanation:
61+63+65=189
Change
69
7
to a mixed number
Answer:
9 6/7
This is the answer