The probability that a randomly selected student from the all-boys school will be shorter than 63 inches tall is approximately 0.9%.
To find the probability that a randomly selected student will be shorter than 63 inches tall, we need to use the standard normal distribution table or a statistical calculator.
Calculate the z-score for the value of 63 inches using the formula:
z = (X - μ) / σ
where X is the value (63 inches), μ is the mean (70 inches), and σ is the standard deviation (3 inches).
z = (63 - 70) / 3
z = -7 / 3
z = -2.3333
Now, we look up the area to the left of the z-score -2.3333 in the standard normal distribution table.
Using a standard normal distribution table, the cumulative probability for z = -2.33 (rounded to two decimal places) is approximately 0.009.
So, the probability that a randomly selected student will be shorter than 63 inches tall is approximately 0.009 or 0.9% (rounded to the nearest thousandth).
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An adult has a total of about 21.4 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to convert this measurement to square meters (m2).
Answer:
1.99m²
Step-by-step explanation:
From the above question
1 ft = 3.281 m
1 ft² = (3.281 m)²
Converting 21.4 ft² to m²
1 ft² = (3.281 m)²
21.4 ft² = xm²
x m² = 21.4 ft²/ (3.281 m)²
x m² = 1.9879310292 m²
Approximately :
21.4 ft² = 1.99m²
Solve 1/2x times 1/4x-18=6.
Answer:
The answer is 48
Step-by-step explanation:
Have a nice day
Find the missing sign.
Solve for X
Answer:
x = 17.9
Step-by-step explanation:
sin 42° = 12/x
x = 12/sin 42°
x = 17.9
Answer:
17.9
Step-by-step explanation:
> sin 42° = 12/x
> x = 12/ sin 42°
> x = 17.9
help pleass alot of points
Answer:
44
Step-by-step explanation:
[tex]11 + 11 + 11 + 11 = 11 * 4 = 44[/tex]
ASAP someone please help. Given the following angle measurements for a triangle, find the remaining angle.
a. 53, 58
b. 28, 47
c. 65, 25
Answer:
c
Step-by-step explanation:
I don't know how to do this please help me!
Find the measure of an angle between 0 degrees and 360 degrees coterminal with an angle of -244 degrees in a standard position.
Answer:
to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.
Step-by-step explanation:
Classify the polynomial.
2x^5+x^2-2x+4
a. quintic polynomial
b. cubic polynomial
c. quadratic monomial
what must be the length of a ladder that mr. rizzo can use if he wishes to place the bottom of the ladder five feet from a wall and he wishes to reach a window that is 15 feet above the ground? use the pythagorean theorem to solve pls
Answer:
jgdnh svfbbth1f we ra r ti
Solve 1/2+(3/4x4/9)=
Answer: -1/6
Step-by-step explanation:
Please help and don’t put a random answer.
Answer:
The answer is 13/4
Step-by-step explanation:
I divides and cross miltiplied.
The height (in feet) of objects launched from a
pirate ship's rocket launcher can be modeled by
the equation h = -16t? + 180t + 18 where t is the
time in seconds.
*Find the maximum height a launched item
could reach. (Round to two decimal places).
*After how many seconds will an item hit the
water after being launched? (Round to nearest
whole number).
Please someone help me
Answer:
i) 524.25feet
ii) 11secs
Step-by-step explanation:
1) Given the height of the rocket modelled by the equation
h = -16t² + 180t + 18 where
t is in seconds
At the maximum height, the velocity of the object is zero.
v(t) = dh/dt = 0
dt/dt = -32t + 180
0 = -32t + 180
32t = 180
t = 180/32
t = 5.625secs
Get the maximum height
h = -16t² + 180t + 18
h = -16(5.625)² + 180(5.625) + 18
h = -16(31.640625)+ 180(5.625) + 18
h = -506.25+1,012.5+18
h = 524.25feet
Hence the maximum height a launched item could reach is 524.25feet
ii) The item will hit the water at h = 0
Substitute inti the expression
h = -16t² + 180t + 18
0 = -16t² + 180t + 18
16t² - 180t - 18 = 0
Divide through by 2
8t² - 90t - 9 = 0
t = 90±√90²-4(8)(-9)/2(8)
t = 90±√8100+288/16
t = 90±√8,388/16
t = 90±91.586/16
t = 90+91.586/16
t = 181.586/16
t = 11.35sec
Hence the item hit the water after 11secs (to nearest whole number)
Which statement correctly describes gravity?
an attractive force that acts between all objects through contact
an attractive force that acts between all objects without contact
a repulsive force that acts between all objects through contact
a repulsive force that acts between all objects without contact
Answer:
an attractive force that acts between all objects without contact
Step-by-step explanation:
an attractive force that acts between all objects without contact
You are pulled down by gravity when you jump
Answer:
an attractive force that acts between all objects without contact
The force of gravity, first discovered by Isaac Newton, is one of the four fundamental forces. It is a force that is always attractive, and it is exerted between all objects that have mass. Also, the force is exerted even when the two objects are not in contact.
The magnitude of the force of gravity between two objects is given by where
G is the gravitational constant
m1 and m2 are the masses of the two objects
r is the distance between the two objects
Step-by-step explanation:
MRK ME BRAINLIEST PLPZZZZZZZZZZZZZZZZ
PLEASE HELP WILL MARK BRAINLY
(ATTACHED)
Answer:
$3.60
282.6
80
576 in
175
45
3.12
31.7
10
36
9
36
-3,√3,3,3² and √3
1/4
√64
9
1.6
4x
1
3
Step-by-step explanation:
24*.15=3.6
200=2.5*speed
speed=80
1:1/12
x:48
576 in
35=.2*x
x=175
30*1.5=45
48*.065=3.12
.5*(2π*5)=15.7
15.7+6+10=31.7
24²+a²=26²
a²=100
a=10
Pretty sure it's just 36
Volume of a cylinder :πr²*h
10*3²*π=282.6
8:12
6:x
x=9
2x+3x=90
x=18
2*18=36
-3,√3,3,3²
1/2*1/2=1/4
√64=8
3x-12+x=24 ,
4x=36
x=9
12.5w=20
w=1.6
2xy*6x²=12x³y
12x³y/(3x²y)=4x
3²+(-2)³
9-8=1
-18-6= -24
-2-2-4= -8
-24/-8=3
1/2⋅8 to the power of two+3(7)=
Answer:
The answer for this equation is 53
Answer:
53
Step-by-step explanation:
I'm not sure you worded I weird to me
Tiara, a quality assurance inspector at a chocolate factory, checks for product quality using a random sample of 18 pieces of chocolate from a batch of 60, wity 17 white chocolate and 43 dark chocolates. Let p be the proportion of white chocolates in the sample. Part A: Is the 10% condition met in thjs case? Justify your answer. Part B: Is the Normal condition met in this case? Justify your answer.
Answer:
Part A
The 10% rule is not met
Part B
The normal condition is not met
Step-by-step explanation:
The given data of the pieces of chocolate are;
The number of chocolates in the sample, n = 18
The number of white chocolate in the batch = 17
The number of dark chocolates in the batch = 43
Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;
The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]
Part A
The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials
The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation
Part B
The normal approximation can be assumed when we have;
n·p > 10 and n·p·(1 - p) > 10
By plugging in the values for 'n' and 'p', we have;
p = 0.28[tex]\overline 3[/tex] = 17/60
n·p = 18 × 17/60 = 5.1 < 10
n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10
Therefore the normal condition is not met.
ressions, Equations, and Relationships - Readines
What is the approximate value of x in this equation?
6x + 14 = 7 - X
Answer:
x=-3
Step-by-step explanation:
3,-5 reflection over the x-axis
Answer:
It would be (3,5)
Step-by-step explanation:
hope this helps
What is the value of x?
Answer:
x=5
Step-by-step explanation:
move the terms 10x-9=9x-4
collect like terms 10x-9x=-4+9 and calcate
x=5
i need help please help asap
Answer:
Try 11
Step-by-step explanation:
11 -33+63-38=3
Solve for n
2n +4 = 3.4
Answer:
n= -0.3
Step-by-step explanation:
Need help ASAP PLEASE DUE SOON!!!
Answer:
11
Step-by-step explanation:
all u need to do is to cube root 1331, because it is a cube. hope i helped.
a day in the month of january is randomly selected. what is the probability of selecting a prime number?
Answer:
70 percent susheeiiesoosos
What is the slope line?
Answer:
slope or gradient of a line is a number that describes both the direction and the steepness of the line.
use the figure below to answer the question
Answer:
Sin(Ф) = Opposite / Hypotenuse
We know that Opposite = 6, and
Hypotenuse = 3/4 or 0.75
So,
Sin(Ф) = 6 / 0.75
Sin(Ф) = 8
So the value of sin of Ф would be 8
Hope this helps!
Choose all expressions that are equivalent to
to 5/7
Answer:
C,D,E are equivalent to 5/7
PLEASE HELP I WILL MARK YOU BRAINLIEST
(1)Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?
(2)Kristina rides her bicycle 384.25 miles over 29 weeks too and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?
Answer:
question 1 she has 4.90 dollars left question 2 she rides 13.25 miles every week
Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?
Answer:
2.86 hours
Step-by-step explanation:
Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?
Speed = Distance/time
Distance = Speed × time
t = ?
Hence,
8mph ×t + 6 mph × t = 40 miles
8t + 6 t = 40 miles
14t = 40 miles
t = 40/14
t = 2.86 hours
They will meet in 2.86 hours
What is the overlap of Data Set 1 and Data Set 2?
high
moderate
low
none
Answer: Low
The overlap of data set 1 and data set 2
What is the slope of the line that passes through (12, -18) and (11, 12)?
QUICK!!
Answer:
slope= m=-30 hope that helps
2. What will be the circumference of a circular table having diameter x
meter? Find it.
Answer:
im just doingthis for points
Step-by-step explanation: