Answer:
a) the required probability is 0.0013
b) the required probability is 0.0288
c) the required probability is 0.9759
Step-by-step explanation:
Given the data in the question;
let x be the thickness measurements
Given that X follows a Normal distribution with mean μ = 5.4
standard deviation σ = 0.8
then z = x-μ / σ = x-5.4 / 0.8 follows standard Normal
a) probability that the thickness is less than 3.0 mm
P( x<3 ) = P( x-5.4 / 0.8 < 3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013
Therefore, the required probability is 0.0013
b) the thickness is more than 7.0 mm
P( x>7 ) = P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) = P( Z > 2.00)
= 1 - P( Z ≤ 2)
= 1 - 0.9772
= 0.0288
Therefore, the required probability is 0.0288
c) the thickness is between 3.0 mm and 7.0 mm
P(3< x<7 ) = P( x<7) - P(x<3)
= P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) - P( x-5.4 / 0.8 < 3-5.4 / 0.8 )
= P( Z< 2 ) - P( Z < -3)
= 0.9772 - 0.0013
= 0.9759
Therefore, the required probability is 0.9759
solve for y.
-13=4y+3
Answer:
-13=4y+3 -3
-16=4y ÷4
-4=y
Step-by-step explanation:
hope it helps ^^
Answer:
y = -4
explenation in picture
Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
Read more about probability models at:
https://brainly.com/question/9965602
A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:_____
a. If we took another sample of 600 residents the sample proportion would definitely be between 29% and 37%.
b. If we take many other samples from this population 95% of them will have a sample proportion that is between 29% and 37%.
c. We can not conclude anything about the population parameter since this is only a sample.
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
e. There is a 95% chance that the true parameter is 33%.
Answer:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Step-by-step explanation:
Meaning of a confidence interval:
A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.
In this question:
Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:
From the concept of confidence interval above, the correct answer is:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Problem: 2 - $(7 – 2y) = -3
Step 1: -3(7 2y) = -3
Step 2: -21 + 6y=-3
Step 3: by = 18
Step 4: y = 3
Determine which number step the mistake is Made and describe the error
which is bigger 7.5 or 7/10
Answer:
7.5
Step-by-step explanation:
7.5 > .7
Answer:
7.5
Step-by-step explanation:
7/10 is equal to 0.7 which is smaller than 7.5 so 7.5 is bigger
Please help me with my homework!
Linda used a number line to simplify an expression. Which expression did Linda simplify based on the number line?
A. -9+1
B. -1-9
C. -1+(-8)
D. -1-(-8)
xavier made 22 more baskets than Jared this basketball season. Write an expression for the number of basket xavier made this season.
Answer:
J+22=X
Step-by-step explanation:
J represents Jared and since Xavier made 22 more baskets than Jared you add 22 onto Jared's amount of baskets to figure out how many Xavier made.
Alex drew the triangles shown. Which of the following correctly describes the triangles?
Answer: wheres the attachment..
Step-by-step explanation:
A person invested $30,000 in stocks and bonds. Her investment in bonds is $3000 more than half her investment in stocks
How much did she invest in stocks? How much did she invest in bonds?
Answer:
He invested in stocks Say, = x $
He invested in bonds = (x/2)+6000
So,
x+ x/2 +6000=30000
2x+x+12000=60000
3x= 48000
x=16000
Investment in stocks= 16000 $
Step-by-step explanation:
!!
Answer:
$ 3 0 , 0 0 0 in Stocks
$ 2 7 , 0 00 in Bonds
Step-by-step explanation:
$ 3 0 , 0 0 0
- $ 3 , 0 0 0
_ _ _ _ _ _ _ _ _ _
$ 2 7 , 0 0 0
It takes 3 gallons of gas to drive 102 miles. How many miles can be driven on 16 gallons of gas?
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.
3. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon. F(1,2). G(3,0), H(1,-2).
Answer:
Expand on the name.......
32) Write a compound inequality that represents the given graph:
A. 6≤x 10
D. 6
Answer:
6 < x ≤ 10
Step-by-step explanation:
The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).
That is: x > 6 and x ≤ 10
This can be written as: 6 < x ≤ 10
Events A and B are dependent. Find the missing probability.
P(A) = 0.6
P(B\A) = 0.2
P(A and B) = ???
Answer:
P(A and B) = 0.12
Step-by-step explanation:
Conditional Probability
Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:
[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]
Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.
We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:
[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]
[tex]P(B\cap A)=0.2*0.6=0.12[/tex]
P(A and B) = 0.12
A production company spent 45
1
2 days filming its first movie. The company's second movie was filmed in 7
3
4 weeks. Find the ratio of the first movie's filming time to the second movie's filming time. Compare in weeks.
Answer:
26 /33
Step-by-step explanation:
Given that :
Number of days taken filming first movie = 45 1/2
Number of weeks spent filming second movie = 8 1/4
Concerning days to weeks ;
45 1/2 days = 91/2 days = 91/2 ÷ 7 ;
91 / 2* 1/7 = 91/14 = 6. 5 weeks
Hence,
Ratio of first week fuming to second week filming ;
6.5 weeks : 8 1/4 weeks
6 1/2 : 8 1/4
13 / 2 : 33 /4
13 / 2 * 4 /33
52 / 66
26 / 33
If Log 20 = 1.301 what is the value of Logsub100 20?
I need the step by steps! I can’t find anything videos online to teach this to me
Answer:
[tex]log_{100}20 = 0.6505[/tex]
Step-by-step explanation:
log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)
This basically means:
[tex]10^{1.301} = 20[/tex] (This is the log in exponential form)
Since we don't know what [tex]log_{100}20[/tex] is equal to, we will say [tex]log_{100}20[/tex] = x
So to solve for [tex]log_{100}20[/tex] = x, you do the same thing. (convert to exponential form)
[tex]100^{x} =20[/tex]
Now you will notice that both of these equations are equal to 20.
Since 20 = 20,
we can say [tex]100^{x}[/tex] = [tex]10^{1.301}[/tex]
Another way of saying 100, is [tex]10^{2}[/tex] (make the bases the same)
Now we get [tex]10^{2x} = 10^{1.301}[/tex]
(we get 2x because an exponent to the power of an exponent ([tex]2^{x}[/tex]) is the same as 2 * x)
Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:
2x = 1.301
x = 0.6505
Pls help quick………… Math
If x=-3 what does 6+5x
Answer:
-9
Step-by-step explanation:
Plug in -3 for the x value to get 6 + 5 (-3). Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.
Help pls ill give Brainlyest to the one who does it step by step.
Answer:
12.8% decrease
Step-by-step explanation:
if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.
Plzz help for once!! The cost y (in dollars) to rent a kayak. it costs $27 to rent the kayak for 3 hours.
a. Write an equation that represents the situation.
An equation that represents the situation is y=___?
Answer:
y= 81$
Step-by-step explanation:
$27 X 3= 81
Answer:
y = 9h
i don't know if this is what you were looking for or not
Step-by-step explanation:
Help me out please !!!!!!
Given:
A line segment AB on a coordinate plane.
The rule of translation is
[tex]f(x,y)\to (x-6,y-3)[/tex]
To find:
The coordinates of A' and B'.
Solution:
From the given graph, it is clear that the coordinates of A and B are A(1,3) and B(5,1).
The rule of translation is
[tex]f(x,y)\to (x-6,y-3)[/tex]
Using this rule, we get
[tex]A(1,3)\to A'(1-6,3-3)[/tex]
[tex]A(1,3)\to A'(-5,0)[/tex]
And,
[tex]B(5,1)\to B'(5-6,1-3)[/tex]
[tex]B(5,1)\to B'(-1,-2)[/tex]
Therefore, the coordinates of A' and B' are A'(-5,0) and B'(-1,-2).
The price of a shirt is $18.50 but you have a coupon that lowers that price by 20% what is the price of that shirt?
Answer:
$3.70
Step-by-step explanation:
What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.
Answer:
The shirt would be $14.80 after using the coupon!
Step-by-step explanation:
I hope this helps a bit, have a good day! =)
Find the sum of the following series. Round to the nearest hundredth if necessary. 4 + 24 + 144 +... + 6718464
Answer:
Your answer is 264
Step-by-step explanation:
2(5-6f)= 34
I need to find the value of f pls help
Answer:
f=-2
Step-by-step explanation:
2(5-6f)= 34
(5-6f)= 34/2
5-6f= 17
-6f=17-5
-6f=12
f=12/-6
f=-2
Step-by-step explanation:
2(5-6f)= 34
(2*5)-(2*6f)=24
10-12f=34
-12f=34-10
-12f=24
-f=24/12
-f=2
f=-2
help please and u get a cookie
Answer:
im allergic to cookies
Step-by-step explanation:
Is the answer I put correct? I just wanna check. Tell me if it’s wrong please
Answer:
no is 100 fluid ounces.
Ms. Davis is doing an activity with her statistics students where she gives them a 202020-question multiple choice test, and they know none of the answers. Students need to guess on every question, and each question has 555 possible choices, 111 of which is correct.
What are the mean and standard deviation of the number of questions that each student gets correct?
You may round your answers to the nearest tenth.
Answer:
The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (
Answer: mean: 4
standard deviation: 1.79
Step-by-step explanation:
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Answer:
Side 1=21 ft, Side 2=7, Side 3=24
Step-by-step explanation:
52 = (3x) + (x) + (x+17) -> 52 = 5x + 17 -> 5x = 35 -> x = 7
Plus 7 into the equation whenever you see an x.
1.Interest rate=7%p.a.Find the interest of Rs 200 for years.
2.Interest rate=11%p.a.Find the interest of Rs 2000 for years.
Step-by-step explanation:
Question does not specify how many year and is in plural form considering the level of question I will consider it is some typo error and is just 1 year
Step 1
Finding Intrest for Rs200
We have
Principal(P) = Rs 200
Rate (R) = 7%pa
Time (T) = 1year
Intrest(I) =?
We have ,
I =PTR/100
=200*7/100
=Rs 14
Step 2
Finding intrest for Rs2000
Given
Principal(P)=Rs2000
Rate(R) =11%
Time(T) =1 year
Intrest(I) =?
We know,
I =PTR/100
=2000*11/100
= 20*11
=Rs 220
Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
How many laps did Lin run in 1 minute?
Please hurry up(btw you will get the brainliest)♂️
Answer:
To run one lap Lin takes 1.6 minutes.
Step-by-step explanation:
To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.
A rectangle has a perimeter of 50 centimeters. If the width of the rectangle is 10 centimeters, what is its length?
Answer:
15 cm
Step-by-step explanation:
The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.
If we plug in 10 for W, we get this:
2L + 2(10) = 50 <-- the perimeter
2L + 20 = 50
2L = 30
L = 15