Evaluate f(x)=6x2 – 12 when x =-3.
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:
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For each expression, select all equivalent expressions from the list 1. 24x - 18 A. 6(4x -3) B. 6 C. 4(6x - 4) D. 12x - 9
Answer:
A
Step-by-step explanation:
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.
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?
You purchased an $85,000 home, and the property taxes were $1530. If they make improvements and the house is now valued at $130,000, what will the new property tax be? (McGraw-Hill Companies)
Answer:
43470
Step-by-step explanation:
purchased of home =$85000
improvement of home =1530=
85000
+1530
=86530
the valued of home =130000=
130000
-86530=
43470
A fruit salad recipe calls for 2 cups of
bananas for every 3 cups of apples. If
Shannon is using 9 cups of apples to
make fruit salad for a party, how many
cups of bananas does she need? Help me
Answer:
6 cups
Step-by-step explanation:
9 / 3 = 3
3 x 2 = 6
Hope that helps!
Answer:
6 cups of bananas
Step-by-step explanation:
there are 9 cups of apples, so 3 cups of apples need to be multiplied by three. that means you have to multiply the 2 cups of bananas by three.
if 1 inch equals 50 miles
what does 70 inches equal into miles?
Answer:3500 miles
Step-by-step explanation:
1=50
meaning that we can do 70x50
which equals 3500
Answer:
3,500
Step-by-step explanation:
1in = 50 miles
70 in x 50 miles - 3,500, so therefore
70 in = 3,500 miles
hoped i helped you!
Billy has a set of wooden boards. Each board is 0.6 meters long. If Billy lays 4 boards end-to-end, how many meters long will the line of boards be?
Answer:
2. 4 meters long
Step-by-step explanation:
0. 6 times 4 equals 2. 4
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:
Given h(x) = 2x2 - 5x + 5, find h(-5).
Answer:
h = 80
Step-by-step explanation:
A line includes the points (8,5) and (9, – 5). What is its equation in point-slope form?
Answer:
Step-by-step explanation:
slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{-5-5}{9-8}\\\\=\frac{-10}{1}\\\\=-10\\[/tex]
Point-slope form:
y - y1 = m(x - x1)
y - 5 = -10(x - 8)
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 7th term in the sequence?
-1,2,-4,8
helopppppppppppp meeeeeeee
Answer:
The answer is B
Step-by-step explanation:
11 Ankitesh and his friend Jimmy together sold tickets for a charity show for
13
times as much as Jimmy sold, how much did
3
3800. If Ankitesh sold 1
each of them sell the tickets for?
Answer:
..................
Step-by-step explanation:
......
2x+3y=5x-y2x+3y=5x−y
Look at the picture for answer choices
camie and jorge each saving money for a new computer camie saves $5 per week plus $50 she received for her birthday. jorge saves $7 per week. which of the following can be used to find w the number of weeks until jeorge has saved at least the same amount as camie
Answer:
7w > 5w + 50
Step-by-step explanation:
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]
It the end of the day l need this last one
Mr. Lenz has received several orders for apples at his farm
stand. He needs to know how many people ordered 12
apples so he can fill bags of 12.
Would a dot plot or a histogram be a more appropriate way to display the
data for this situation?
A. A histogram, because Mr. Lenz wants to know all of the data for a
single value
O B. A dot plot, because Mr. Lenz wants to know all of the data for a
single value.
C. A histogram, because Mr. Lenz wants to know how the data fall
into different intervals or ranges.
D. A dot plot, because Mr. Lenz wants to know how the data fall into
different intervals or ranges.
Answer:
A, Histograms give values where as dot plots are focused on a trend.
Answer:
B
Step-by-step explanation:
I got the test
I need some help with this
Answer:
(3) Median
Step-by-step explanation:
I would say median because it most likely wouldn't be any of the others. Mean would be thrown off with the outlier 0.80. Mode wouldn't really work for this. I don't think standard deviation would work because this isn't coninuous data.
Hope it helps and is correct!
1. Given the triangle below, what is the value of sin 8
?
12
6
ก
65
Answer:
2
Step-by-step explanation:
bc
Answer:
(2/5)√5
Step-by-step explanation:
from the sine rule (see attached for reference), we can construct the following relationship
12/sinθ = (6√5) / sin 90°
recall that sin 90° = 1, hence our equation becomes:
12/sinθ = (6√5) / 1
12/sinθ = (6√5) (rearranging)
12 ÷ (6√5) = sin θ
sin θ = 12 / (6√5)
sin θ = 2 / √5 (moving radical to numerator by multiplying by √5/√5)
= 2 / √5 x √5/√5
= 2√5 / 5
= (2/5)√5
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
Find the area of the trapezoid.
1 1/2cm
4 cm
3 1/2 cm
1) Jorge takes his friends out for smoothies. He buys 5 smoothies and leaves a $3 tip,
paying a total of $23. He wants to know the price of one smoothie.
• price of 5 smoothies: 23 – 3 = 20
1) Which equation shows how to find the price of one smoothie?
20 – 5 = 15
20 : 5 = 4
23 : 5 = 4.60
23 - 5 = 18
Answer:
15b-x=4
Step-by-step explanation:
i am a smart teacher
Can someone help me please!!
Answer:
the y=4 because the line is going through the y axis and the 4 and the the equation is -2x+4
Step-by-step explanation:
an expression in simplest form pls
Answer:
(2a)3
Step-by-step explanation:
Hopes This Helps!!
3x + 1/3y=12
2y=18x+72
Show all work
A no solution
B one solution
C infinity solutions
Answer:
B one solution
Step-by-step explanation:
3x + 1/3y=12
2y=18x+72; y = 18x/2 +72/2; y =9x+36
3x + 1/3y=12
multiply all through by 3
9x + y = 36
9x + 9x+36 = 36
18x =36-36= 0
x= 0/18 = 0
y =9x+36
y = 9(0) +36 = 0+36= 36