Complete Question
Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.
a
Find the value of x so that the area under the normal curve to the left of x is .0250.
b
Find the value of x so that the area under the normal curve to the right ot x is .9345.
Answer:
a
[tex]x = 403[/tex]
b
[tex]x = 436.75[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 550[/tex]
The standard deviation is [tex]\sigma = 75[/tex]
Generally the value of x so that the area under the normal curve to the left of x is 0.0250 is mathematically represented as
[tex]P( X < x) = P( \frac{x - \mu }{ \sigma} < \frac{x - 550 }{75 } ) = 0.0250[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X < x) = P( Z < z ) = 0.0250[/tex]
Generally the critical value of 0.0250 to the left is
[tex]z = -1.96[/tex]
=> [tex]\frac{x- 550 }{75} = -1.96[/tex]
=> [tex]x = [-1.96 * 75 ]+ 550[/tex]
=> [tex]x = 403[/tex]
Generally the value of x so that the area under the normal curve to the right of x is 0.9345 is mathematically represented as
[tex]P( X < x) = P( \frac{x - \mu }{ \sigma} < \frac{x - 550 }{75 } ) = 0.9345[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X < x) = P( Z < z ) = 0.9345[/tex]
Generally the critical value of 0.9345 to the right is
[tex]z = -1.51[/tex]
=> [tex]\frac{x- 550 }{75} = -1.51[/tex]
=> [tex]x = [-1.51 * 75 ]+ 550[/tex]
=> [tex]x = 436.75[/tex]
At the beginning of every gym class, Mr. Gordon leads the class in a warm-up. In today’s warm-up, the class does jumping jacks for 3 minute. Erin does 54 jumping jacks in that time. Mr. Gordon says the class will do jumping jacks 4 minutes tomorrow. If Erin does jumping jacks at the same rate tomorrow, how many will she she do.
Answer:
Erin will do 72 jumping jacks.
Step-by-step explanation:
We divide 54 by 3 to get Erin's per minute ratio
She gets 18 jumping jacks per minute
We then add that to 54 to get her rate if she did for 4 minutes instead
The answer is 72
hope this helped!
Erin will do 72 jumping jacks in 4 minutes.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, Erin does 54 jumping jacks in 3 minutes.
Therefore, mathematically:
3 minutes = 54 jumping jacks
1 minute = 18 jumping jacks
4 minutes = 72 jumping jacks
Hence, Erin will do 72 jumping jacks in 4 minutes.
To learn more about ratios, click here:
https://brainly.com/question/13419413
#SPJ5
URGENT PLEASE HELP I AM GIVING AWAY MANY POINTS I HAVE ATTACHED THE QUESTION
Answer:
a) x=0, x=1
b)x=0, x=4/3
Step-by-step explanation:
I didnt use the graph, just used algebra. For part a, you can find the answers using the graph by looking at the value of x when y = whatever value they give.
A)
3x²-3x+2=2
3x²-3x+0
x(3x-3)=0
For the product of two things to equal zero, one of them has to be zero. For example, if ab=0, then either a or b (or both) are zero.
Therefore..
x=0
or 3x-3=0, ∴x=1
b)
3x²-3x-1 = x-1
3x²-4x=0
x(3x-4)=0
∴x=0, x=4/3
Answer:
I checked it over twice the first guy is correct make him brainliest
Step-by-step explanation:
Can someone please explain how to do these? I forgot how go
Pleas help I’m almost appreciate it I’m almost done.
Answer:
x = 2
RS = 20
ST = 20
RT = 5
Step-by-step explanation:
What slope would make the lines
parallel?
y = 5x + 2
y = [?]x + 3
Answer:
5
General Formulas and Concepts:
Algebra I
Parallel lines have the same slope
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Parallel lines have the same slope but different y-intercepts.
Our given slope is 5. Therefore, our parallel slope is also 5.
is 2 a solution of 4x +12=4?
Answer:
no
Step-by-step explanation:
4x +12 = 4
4(2) +12 =/= 4
8 +12 =/= 4
8 +12 = 20
(sorry if it doesn't make sense,I tried)
Answer:
Step-by-step explanation:
The seventh grade students are having an end-of-year party in the schoal
cafeteria. There are 754 students attending the party. Each table seats 6 students.
How many tables are needed to seat all of the students?
Is it possible to improve your grade from a "d" to a "b"?
Answer: Of course it is possible if you try your hardest and study
Answer:
Depends
Step-by-step explanation:
Hello! This problem really depends on where you are in the grading period and how many grades are entered in relation to your grade. If you have a D but only have 2 grades then getting a B in the class should be relatively easy. However, if you have a D in a class that you have 15 graded assignments in it will be much harder to raise your grade to a B. Best thing to do is work at this early and try not to let your grade dip throughout the grading semester.
Hope this helps!
-HM
What are trinomials........
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials
hope this helped <3
hellllppppp please
Answer:
1. a
2. b...............
There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a boy?
Suppose the line of best fit is drawn for some data points. If the mean of the
x-coordinates of the points is 5, and the mean of the y-coordinates of the
points is - 7 the line must pass through which of these points?
A. (-7,5)
B. (7-5)
C. (5, -7)
D. (-5,7)
the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).
How to find the coordinates?
To determine which point the line of best fit passes through, we need to use the fact that the line passes through the centroid of the data points. The centroid is the point (mean of x-coordinates, mean of y-coordinates).
Given that the mean of the x-coordinates is 5 and the mean of the y-coordinates is -7, the centroid is (5, -7). Therefore, we need to look for the point among the given options that has coordinates (5, -7).
The point (5, -7) is not listed as an option, but we can find the point that is closest to it.
Option A (-7,5) has the coordinates switched, so it cannot be the correct answer. Option B (7-5) is not a valid point since it is missing a comma between the x and y coordinates. Option D (-5,7) has the correct x-coordinate but the wrong y-coordinate.
Therefore, the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).
To know more about coordinates visit :-
https://brainly.com/question/17206319
#SPJ1
What is the hexadecimal equivalent of the decimal number 241?
Answer:
241 = f1
10 16
Step-by-step explanation:
241 Decimal To Hexadecimal Conversion:
step 1 Perform the successive MOD 16 for the given decimal number 241 and note down the remainder for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).
241 / 16 = 15 : Remainder is 1 → LSB
15 / 16 = 0 : Remainder is 15 → MSB
step 2 Write the remainders from MSB to LSB provide the equivalent hex number
f1
241 = f1
10 16
Decimal
241
Hex
F1
Binary
11110001
factorise [tex]x^{2}[/tex] - 9
Answer:
a1= 1 q= −sinx , dla |q| <1 , ta suma jest zbieżna
a1 1
S=
=
1 −q 1+sinx
w mianowniku podobnie: a1=1 , q= sinx , dla | sinx| <1
1
S=
1 −sinx
i mamy równanie:
1
1+sinx
= tg2x
1
1− sinx
Step-by-step explanation:
What role do animals have in the carbon cycle?
Group of answer choices
use water and release oxygen
use sugar and release carbon
use carbon and release oxygen
use carbon and release nitrogen
Answer:
use sugar and release carbon
Step-by-step explanation:
Animals they eat and then release carbon through respiration. Nitrogen is only in the nitrogen cycle, and the only living organisms that can release oxygen are plants because humans and animals cannot photosynthesize. LOL!
There are (3^2)4 ⋅ 30 bacteria in a petri dish. What is the total number of bacteria in the dish?
38
39
311
324
Answer:
The total number of bacteria in the dish is 1080
Step-by-step explanation:
(3^2)4*30
3*3=9
9*4*30
9*4=36
36*30=1080
Answer:
6561 = 3^8
Step-by-step explanation:
i got it right
10.An object of mass 300 kg is observed to accelerate at the rate of 4 m/s2. Calculate the force required to produce this
acceleration
PLLLLSSSSS HHHHHEEEELLLLPPPP
Answer:
F=Ma
Step-by-step explanation:
force= 300x4
force= 1200N
The Force required to move a mass of 300 kg is 1200 N
What is force?In Physics, force is defined as The push or pull on an object with mass that causes it to change its velocity. Force is an external agent capable of changing a body's state of rest or motion. It has a magnitude and a direction.
Given here, the mass (M) = 300 kg and acceleration = 4 m/s²
Therefore force required to move a body of mass 300 kg is
F=300×4
= 1200N
Hence, the for required to produce this acceleration is 1200N
Learn more about force here:
https://brainly.com/question/13191643
#SPJ2
can i get some help with this?
(3x+28) + (5x+8y) (12x-28)
How many arrays are in 42
Answer:
4 (or eight if you count transposed arrays as being different).
Step-by-step explanation:
how many millimeters are in 5,056 feet
Answer:
1541069
Step-by-step explanation:
there are 304.8 mm in one ft so you multiply 304.8 by 5,056 to understand your solution
if a ship travels west for 15 miles and south for 13 miles to the nearest tenth approximately how far away is it from its starting point
Answer:
23
Step-by-step explanation:
How many terms are in the expression
2k+15-m-3+n-7p = ?
HELP ME PLEASE
Answer:
5
Step-by-step explanation:
once you combine like terms you get 5 terms
g(10)
what does it equal to?
Answer:
it equals -29
Step-by-step explanation:
hope this helps
Can anyine kindly help please?
Answer:
i think it might be C
Step-by-step explanation:
Find x ÷ y, if x = 3 and y = 3 . Express your answer in simplest form.
Answer:
1
Step-by-step explanation:
3/3=1
Hii Help me pls :))))
Answer:
B
Step-by-step explanation:
A: 3+5<=8
C: 9+9<19
D: 5+4<10
PLS GIVE BRAINLIEST
Answer:
Perhaps option B
Step-by-step explanation:
Suppose a test of significance desires to see if there is a difference in mean SSHA scores between men and women. Which is the appropriate alternative hypothesis?
a. The population mean for women equals the population mean for men.
b. The population mean for women does not equal the population mean for men.
c. The population mean for women is greater than the population mean for men.
d. The population mean for women is less than the population mean for men.
Answer:
The correct option is b.
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by Hₐ.
The research statement is:
"If there is a difference in mean SSHA scores between men and women."
Then the appropriate alternative hypothesis will be:
Hₐ: The population mean for women does not equal the population mean for men, i.e. μ₁ ≠ μ₂
The correct option is b.
Solve the equation. 10 - 6v = -104
Answer:
X=19
Step-by-step explanation:
10-6v=-104
-6v=-114
v=19
Answer:
Hey lindsey its me from the other question
Step-by-step explanation:
V=19
hope that helps
3. A ladder leaning against a wall
makes an angle of 68° with the
ground. If the foot of the ladder is 4
feet from the wall, how high on the
wall is the ladder, to the nearest
tenth of a foot?
Answer:
tangent 68° = opposite / adjacent
opposite (wall height) = tan (68) * 4 feet
opposite (wall height) = 2.4751 * 4 feet
opposite (wall height) = 9.9004 feet or
9.9 feet (to the nearest tenth of a foot).
Step-by-step explanation: