Answer:
150
Step-by-step explanation:
Answer:
answer is 66.67
Step-by-step explanation:
30: 45*100=
(30*100):45=
3000:45=66.67
Question 1 of 10
Suppose a normal distribution has a mean of 266 and a standard deviation of
12. What is P(x> 242)?
O A. 0.16
B. 0.475
C. 0.84
D. 0.975
0.975 is P(x ≥242) with a mean of 266 and standard deviation of 12
The required value of P(x> 242) = is 0.975 for normal distribution. Option D is correct.
The normal distribution has a mean of 266 and a standard deviation of
12. What is P(x> 242) is to determine.
Whata is normal distribution?Normal distributions can be altered to standard normal distributions by the formula:
Z = (X - μ)/σ
Where x is a value from the initial normal distribution, μ is the mean of the initial normal distribution, and σ is the standard deviation of the initial normal distribution. The standard normal distribution is periodically called the z distribution.
Now,
z = X - 266 /12
p(x > 242) = P [(X - 266)/12 ≥ (242 - 266)/12]
p(x > 242) = P [z ≥ -24/12]
p(x > 242) = P [z ≥ -2]
p(x > 242) = P [z ≤ 2]
p(x > 242) = 0.975 (from Z table).
Thus, the required value of P(x> 242) = is 0.975. Option D is correct.
Learn more about normal distribution here:
https://brainly.com/question/12421652
#SPJ2
A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).
Answer:
a)
The possible values are 0, 1, 2 and 3.
The probability mass function of X is:
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
b)
[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]
c) E(X) = 1.5, Var(X) = 0.75
Step-by-step explanation:
For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
A fair coin is flipped three times.
This means that [tex]n = 3[/tex]
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]
a) Give both the possible values and probability mass function of X.
The possible values are from 0 to n, so 0, 1, 2 and 3.
The probability mass function is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(b) Find P(X ≥ 1) and P(X > 1).
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]
[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]
(c) Compute E[X] and Var(X).
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]
If the volume of a cube is 729cm^3, what is the surfface area.
Thanks!!
Answer:
486cm^2
Step-by-step explanation:
cube volume: 729cm^3
cube faces count: 6
How you calculate square area:
s(cm) * s(cm) or just s^2(cm^2)
s = side length
If you want to find out the side length of a cube by its volume. Then simply just remove the ^3 by taking the cubic root (also written ^(1/3))
729^(1/3) = 9
then just calculate the area like i showed earlier:
(9cm)^2 = 81cm^2
But that is only one side of a cube's 6 sides, so multiply by 6:
81cm^2 * 6 = 486cm^2
Hope i could help :D
Dont be scared to ask me questions..
A container in the shape of a pyramid has a rectangular base with dimensions of 5 inches by 15 inches. The height of the rectangular pyramid is 12 inches. Marbles fill half the volume of the container.
How many more cubic inches of marbles are needed to finish filling the container?
Enter your answer in the box.
in3
Answer:
150
Step-by-step explanation:
1) the full volume of the given pyramide may be calculated according to the formula:
V=1/3 *Area_of_base*height;
V=1/3 *(5*15)*12=300 (in³).
2) the half of the calculated volume is:
300/2=150 (in³)
Answer:
150
Step-by-step explanation:
The volume of a cone with a radius of 4 feet and a height of 12 feet
Answer:
150.8
Step-by-step explanation:
Hope it helps.
an expression in simplest form pls
Answer:
(2a)3
Step-by-step explanation:
Hopes This Helps!!
simplify 4(6x + 2) + 5(x + 4)
Answer:
29x + 28
Step-by-step explanation:
1. 4(6x + 2) + 5(x + 4) = 24x + 8 + 5x + 20
2. 24x + 5x + 8 + 20
3. 29x + 28
It the end of the day l need this last one
Simplify (3x - 5) - (4x + 6).
-X + 11
x + 11
-X-11
x- 11
Answer: The given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
Given : Expression (3x − 5) − (4x + 6).
We have to simplify the given expression.
Consider the given expression (3x − 5) − (4x + 6).
Remove Parentheses ,
we have,
(3x − 5) − (4x + 6) = 3x - 5 - 4x -6
Combining like terms, we have,
LIKE TERMS are terms having same variable with same degree.
here 3x and -4x are like term and -5 and -6 are like terms,
Simplify, we have,
= 3x - 4x - 5 - 6
= -x - 11
Thus, the given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
hope this helps have a nice day❤️❤️❤️❤️
Answer: The given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
Given : Expression (3x − 5) − (4x + 6).
We have to simplify the given expression.
Consider the given expression (3x − 5) − (4x + 6).
Remove Parentheses ,
we have,
(3x − 5) − (4x + 6) = 3x - 5 - 4x -6
Combining like terms, we have,
LIKE TERMS are terms having same variable with same degree.
here 3x and -4x are like term and -5 and -6 are like terms,
Simplify, we have,
= 3x - 4x - 5 - 6
= -x - 11
Thus, the given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
hope this helps have a nice day and god bless u ❤️❤️❤️❤️
Simplify the following expression by combining like terms.
5x+13−8x can be simplified to
x+
Answer:
13x+13
Step-by-step explanation:
Answer:
−3x+13
Step-by-step explanation:
HOPE IT HELPED
180 people walked in a store. Every 25th person got a free T-shirt. What’s the total number of people who received a t-shirt?
Answer:
the correct answer is 7
....... hope it helps you
Answer:
[tex]thank \: yo[/tex]
Find the area of the trapezoid.
1 1/2cm
4 cm
3 1/2 cm
How to record 2 1/2 inches on a ruler
Answer:
Read explanation
Step-by-step explanation:
If you get a normal ruler it will be one foot total. You add the bigger measurements twice because they're an inch. Then you add half of those measures. It will be numbered 1, 2, 3... so on . In other words, the longer lines are inches and the shorter ones are centimeters.
Answer:
So here's a step by step
1: Pick up your ruler.
2: Make sure the ruler is not broken or cracked.
3: Find the thing you want to measure.
4: Put the ruler against the object.
5: Make sure the 0 on the ruler is right on the side of what your measuring.
6: When all that is done find the 2 on the ruler that is 2 inches
7: Then find the 1/2 mark next to the 2 that is 2 1/2 inches.
Dont know why you needed this but here lol.
Step-by-step explanation:
May I have brainiest please I'm leveling up!
</3 PureBeauty
Look at the picture for answer choices
Can you help me on question 25?!
each side on a sticky note measures 9 centimeters. what is the srea of the sticky note?
Answer:
Step-by-step explanation:
All sides are equal. So sticky note is in the shape of square.
Area = side * side = 9 * 9 = 81 sq.cm
You wish to determine the GPA of students at your school. Describe what process you would go through to collect a sample if you use a systematic sample.
Answer:
simple random sampling
Step-by-step explanation:
jacks rope is 4 feet long how many inches is the rope
Answer:
48
Step-by-step explanation:
1 ft = 12 in
4 x 12 = 48
Answer. it fast please
Answer:
36/25
Step-by-step explanation:
[tex]x^{-y}=\frac{1}{x^y}\\\\2^-1+3^-1=\frac{1}{2}+\frac{1}{3}=\frac{5}{6}\\\\\frac{5}{6}^{-2}=\frac{6}{5}^2=\frac{36}{25}[/tex]
100 points if u help
The answer is 87.12
Just check it once
Answer:
87.92
that is the answer
3.14(4^2+12)
this is how it looks in normal form without a and b
4^2 is going to be 16
16+12= 28
3.14 times 28= 87.92
Step-by-step explanation:
Two similar triangles have a scale factor of 3:5. Determine whether the
following statement about the triangles is true or false.
Two corresponding sides could be 6cm and 8 cm
Who ever answers truly gets brain list thing
Answer:
Step-by-step explanation:
When you compare the ratios of the perimeters of these similar triangles, you also get 2 : 1. This leads to the following theorem. Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b. Figure 2 Perimeter of similar triangles.
Round 54.36 to the nearest tenth
Answer:
Step-by-step explanation:
54.3
Answer: 54.4
Step-by-step explanation: The 6 rounds the 3 up to 4. If it was 4 (54.4) or below it would be 54.3.
Evaluate f(x)=6x2 – 12 when x =-3.
Jose buys a drink and dinner at a local restaurant. The dinner was $9.89 and the drink was $1.99. Jose would like to leave a 15% tip. What is the correct amount of tip Jose should leave for his server? Round your answer to the nearest penny.
Answer:
1.78
Step-by-step explanation:
6. The movie theater sells a bucket of
popcorn, p, for $5.95 each each. Which of
the following equations best represents c, the
total cost of purchasing buckets of popcorn?
A. C = 5.95p
B. p = 5.960
C. C + 5.95 = p
D. p + c = 5.95
Answer: Pretty sure it’s A. I’m not sure thought that makes the most sense to me.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
total cost= 5.95(number of popcorn ordered)
If I have an equation like 6+3y-4 can i move the 3y to the back to deal with the 6 and the -4?
ex: 6-4+3y?
One of the legs of a right triangle is 9 cm. If the area of the triangle is 225 cm², then the length of the other leg is
if you tell correctly I will give brainlist
Given:
One of the legs of a right triangle is 9 cm.
The area of the triangle is 225 cm².
To find:
The length of the other leg.
Solution:
The area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
The area of a right triangle is
[tex]Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)[/tex]
Let x be the length of other leg.
[tex]225=\dfrac{1}{2}\times (9)\times (x)[/tex]
[tex]2\times 225=9x[/tex]
[tex]\dfrac{450}{9}=x[/tex]
[tex]50=x[/tex]
Therefore, the length of the other leg is 50 cm.
the worst carrier of contamination of food service is
Answer:
Dirty unwashed hands
Step-by-step explanation:
Answer:
Clean hands and clean food
Step-by-step explanation:
jk
Given h(x) = 2x2 - 5x + 5, find h(-5).
Answer:
h = 80
Step-by-step explanation:
What is the measure of angle C?
9514 1404 393
Answer:
49°
Step-by-step explanation:
Angles A and C are complementary, so we have ...
(3x -7) +(2x +17) = 90
5x = 80 . . . . . . . . . . . . . subtract 10
x = 16 . . . . . . . . . divide by 5
Then the measure of angle C is ...
∠C = 2x +17 = 2(16) +17
∠C = 49