The condition that necessary to apply the central limit theorem is random sampling
To apply the Central Limit Theorem (CLT), the following condition is necessary:
Random Sampling: The samples should be selected randomly from the population.
The Central Limit Theorem states that for a large enough sample size, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution. This holds true under the condition of random sampling.
In your case, since you are selecting random samples of size 50 from a normal population with a mean of $95 and a standard deviation of $14, you satisfy the condition of random sampling required for the application of the Central Limit Theorem.
Learn more about central limit theorem at https://brainly.com/question/898534
#SPJ11
Find the area of the shaded region.
Answer:
80
Step-by-step explanation:
multiply 10 by 8
(If it is not right... i apoligize but i don't see a shaded region)
Answer:
80 in
Step-by-step explanation:
To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in
Hope this Helped
Which expression is equivalent to |a|≤5 ?
a ≥ –5 or a ≤ 5
a ≥ –5 and a ≤ 5
a ≤ –5 and a ≥ 5
a ≤ –5 or a ≥ 5
Answer:
I think its the first one but not 100 % sure
Step-by-step explanation:
Answer:
A>= -5 and A<= 5
Step-by-step explanation:
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply.
Answer:
B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Step-by-step explanation:
P1: 12^2+15^2=20^2 144+225=400 369=400
P2: 16^2+30^2=34^2 256+900=1156 1156=1156
P3: 20^2+21^2=29^2 400+441=841 841=841
P4: 18^2+20^2=26^2 324+400=676 724=676
So the answers are B and E
Answer:
b and e
Step-by-step explanation:
Roberto can lift 103.5 pounds. That is .9 times the amount his friend Vance can lift. Can Vance lift more or less than 103.5 pounds?
Answer:
Step-by-step explanation:
Vance can lift 0.9×103.5 pounds.
0.9 < 1, so you know that
0.9×103.5 < 103.5
Find the x-intercept and and y-intercept algebraically
y = log2 (x + 1) - 3
need work
Answer:
x intercept is 7 y intercept is -3
Step-by-step explanation:
Write equation out and have y=0
[tex] log_{2}(x - 1) - 3 = 0[/tex]
Add 3 to both sides
[tex] log_{2}(x - 1) = 3[/tex]
Using the log to exponet rule
[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]
Where b and x are real numbers and b cannot equal 1.
Reorder the equation as a exponet
[tex] log_{2}((x + 1) = 3[/tex]
[tex] {2}^{3} = x + 1[/tex]
Simplify
[tex]8 = x + 1[/tex]
Subtract 1 from both sides
[tex]x = 7[/tex]
So the x intercept is 7
To find y intercept plug 0 in as x
[tex] log_{2}(0 + 1) - 3 = y[/tex]
[tex] log_{2}(1) - 3 = y[/tex]
Add 3 to both sides
[tex] log_{2}(1) = y + 3[/tex]
Rewrite in exponet form
[tex] {2}^{y + 3} = 1[/tex]
Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation
[tex]y + 3 = 0[/tex]
Subtract 3 from both sides and we get
[tex]y = - 3[/tex]
So the x intercept is 7 and the y intercept is -3
how to find lateral surface and total surface area of triangular prism
Answer:
using the formula ...........duh
Answer:
Lateral Surface Area of a Triangular Prism Formula
Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.
Daniel want to know the volume of his cube, he notices the the cube has 1/5 centimeters side length, what is the volume of the cube?
Answer: 1/125cm³
Step-by-step explanation:
The volume of a cube is gotten by multiplying the side length given by itself thrice.
Since the cube in the question has a side length of 1/5cm, the volume of the cube will be:
= 1/5 × 1/5 × 1/5
= 1/125cm³
Therefore, the volume of the cube is 1/125cm³
What is the value of 2 (38 –14) + 38 = 9?
Answer: 2(38−14)+38=?9
86≠9
False
Step-by-step explanation: hope this help
what do u mean by trigonometry
Answer:
Step-by-step explanation:
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
Basic Formulas
By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side.
Main Trigonometric Functions
Sine (sin)Cosine (cos)Tangent (tan)Secant (sec)Cosecant (csc)Cotangent (cotBoth depend on distances and angles, but trigonometry uses the measurement of angles while geometry deals with angles only in terms of equality of angles and sums of angles. Actually, it seems like basic calculus is easier than basic trigonometry.
(hope this helps can i plz have brainlist :D hehe)
Mary drove from her home to the library after she left the library she drove to the park after that she drove home the map shows the past you took how far did Mary Drive?
Answer:
24 miles
Step-by-step explanation:
Distance formula (d):
D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Home to library
(-4, 1) ; (-4, 9)
D1 = sqrt((-4 + 4)^2 + (9 - 1)^2)
D1 = 8
Library to park :
(-4, 9) ; (2, 1)
D1 = sqrt((2 + 4)^2 + (1 - 9)^2)
D3 = 10
Park to home :
(2, 1) ; (-4, 1)
D1 = sqrt((-4 - 2)^2 + (1 - 1)^2)
D2 = 6
WILL MARK AS BRAINLIEST Write a complete Spanish sentence to indicate what the following people
eat/drink each day. Make sure to capitalize the first word of the sentence, end
with a period and include the correct article (el, la, los, las)! If there is more
than one of an item, you need to make that food/beverage plural. Follow the
model.
Si se organizan los niños de mayor a menor de acuerdo con su estatura, ¿cuál es el orden correcto? A. Andrés, Samuel, Laura y Valeria. B. Samuel, Andrés, Valeria y Laura. C. Laura, Valeria, Andrés y Samuel. D. Valeria, Laura, Samuel y Andrés.
Answer:
A. Andres, Samuel, Laura y Valeria.
Step-by-step explanation:
The height of Andres is greater than all other students. Andres has height of 4.2feet. Samuel is second highest in height and he has height of 4.0 feet. The lowest height student is Valeria who has 3.5 feet height.
pls help me thank you!
Answer:
D.
If possiable may i have brainlist?
-2.7F + 0.4F - 11 - 9
How do I solve this, like I understand the first few parts but when I have to combine Like terms I get stuck♀️
Answer:
-2.3F-20
Step-by-step explanation:
-2.7F + 0.4F - 11 - 9 = -2.3F-20
Answer:
I think when you collect all the like terms the equation comes out to be
Step-by-step explanation:
-2.3F - 20
A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the ladder is 15 ft from the base of the building. Before Levi climbs the ladder, he wants to make sure he has the ladder at a safe angle with the building before climbing. Find the angle of elevation the ladder makes with the ground.
a. approx. 51.3°
b. approx. 32.0°
c. approx. 38.7°
d. approx. 58.0°
Answer:
A) 51.3 degrees
Step-by-step explanation:
cosine x=15/24=0.625
x=51.32 degrees
Johnny is standing on a platform 12 meters high throw ball up velocity 11 meters what time will ball hit the ground after 2 seconds
Answer:
The ball will hit the ground after 1.54 seconds
Step-by-step explanation:
This is a form of projectile motion in horizontal direction
Thus, time taken to reach the ground
[tex]t = \sqrt{\frac{2*d}{g} }[/tex]
Substituting the given values in above equation, we get -
[tex]t = \sqrt{\frac{2* 12}{10} } \\t = 1.54[/tex]seconds
PLEASE HELP ME ASAP FOR BRAINLIST AND EXPLAIN
Answer:
Option B (4/9)
Step-by-step explanation:
Probability is the number of outcomes that you would want to happen over the number of all outcomes that are possible. On each dice, there are 4 numbers less than five. Now we need to find all possible combinations of these numbers and we do that by mulitply 4 x 4.
4 x 4 = 16
Now we just find the number of all possible outcomes and that would be...
6 x 6 = 36
Now 16 over 36 will be...
16/36 = 4/9
The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find the length and the width
Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.
Step-by-step explanation:
Step 1
The perimeter of a rectangular atrium is given as 2( l+b)
The perimeter of a rectangular atrium is 300 yards.
Let the width be represented as x
such that the
The length of the garden which is ninety-six yards more than the width is expressed as x+ 96
and the expression to solve for length and width will now be
Step 2
Perimeter = 2(l+b) = 2l + 2b
300=2( x+96) + 2 x
300= 2x+ 192 + 2x
300= 192+ 4x
300-192=4x
108=4x
x=108/4
x=27
width = 27 yards
length = x+ 96= 27 +96=123 yards
If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit
Answer:
17/60 yards of scarf
Step-by-step explanation:
If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit
To solve the above question:
5 friends = 1 5/12 yards
1 friend = x yards
Cross Multiply
5 × x = 1 × 1 5/12 yards
x = 17/12 yards ÷ 5
x = 17/12 yards × 1/5
x = 17/60 yards of scarf
Answer:
its D
Step-by-step explanation:
1x5/12 + 5/12 1 X 5 = 5 SO 1 X 5/12 IS D
CAN SOMEONE ANSWER PLEASEEEEEE I SUCK AT MATH
Answer:
area = 472 in^2
Step-by-step explanation:
19 x 8 x 3 = 456 in^2 for large rectangle
1/2 x 2 x 8 x 2 = 16 in^2 for triangles
area = 456 + 16 = 472 in^2
Answer the photo below thanks
Answer: C. Never
Similar polygon are never different shapes. They are always the same shape. As usual, read the question carefully before choosing an answer.
Step-by-step explanation: hope this help:)
Which of the following is a tautology?
a. Proposition
b. Modus Tollens
c. Argument
d. Affirming the Disjunct
Brendan has $65 worth of balloons and flowers delivered to his mother. He pays the bill plus an 8.5% sales tax and an 18% tip on the total cost
including tax. He also pays a $10 delivery fee that is charged after the tax and tip. How much change does he receive it he pays with two $50
bills ? Round to the nearest cent
Answer:
6.77
Step-by-step explanation:
Answer:
Step-by-step explanation:
if k is the incenter of def find each measure
Answer:
Step-by-step explanation:
help brainliest if right
Answer:
y = 1x + 7
Step-by-step explanation:
The equation formula for this scenario is y = mx + b
m = slope
b = y-intercept
To find the slope, pick two points. I picked (2,9) and (4,11).
Subtract 11 from 9, you'll get 2.
Subtract 4 from 2, you'll get 2.
2/2 equals 1. The slope (m) = 1
To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept. For this case, the y-intercept is 7.
The equation is: y = 1x + 7
HEEEEELP The height of a street light is 50 feet. It casts a 40−foot shadow. At the same time, a man standing next to the street light casts a 5−foot shadow. How tall is the man?
Answer:
5 foot
Step-by-step explanation:
Help a dmb person out
You are renting a Porsche for the day. There is a daily fee of $50 and a charge of $0.50 per mile. Your budget allows a maximum total cost of $100. How many miles can you travel in the car on your budget?
Answer:
100 miles
Step-by-step explanation:
If the circumference of a circle is 62.8 feet what is the radius of the circle
Answer: r≈ 9.99ft
Using the formula
C=2 π r
Solving for r
r= C/2π = 62.8/2·π ≈9.99493ft
An airplane is flying at a constant speed. The airplane descends 450 meters in 9 seconds. Write the speed of the airplane as an integer.
Answer: Speed = 50meters/ second
Writing as an integer becomes + 50meters/ second 0R 50meters/ second
Step-by-step explanation:
Speed is given as = Distance / Time
distance covered by Airplane = 450 meters
Time = 9 seconds
Therefore, Speed = 450/ 9 = 50 meters/second
116 is less than a number, R increased by 35?
Answer:
R - 116 + 35 is your expression I am pretty sure