Answer:
The probability is 0.017429
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD/√n
In this case;
x = 273
mean = 276
SD = √(variance) = √81 = 9
n = 40
Substituting these values into the z-score formula, we have that;
z = (273-276)/9/√40
z = -2.11
So we proceed to get the probability
the probability in this case is;
P( z < -2.11)
We can use the normal distribution table for this
Our answer will be
P( z < -2.11) = 0.017429
20 points! Pls help! Will mark brainliest!
Answer:
2x
Step-by-step explanation:
the absolute value will always be positive so the question comes down to 'x + x', which is 2x
E(-2,-1), F(-1,1). G(2,0)
E'(-5.-2.5). F'(-2.5,2.5), G' (5,0)
Answer:
Step-by-step explanation:
E =1.3
I NEED HELP PLEASEEEEEEE I FORGOT TO STUDY AND ITS GONNA BE DUE today ;c
Answer:
1/2
-1
1/2
-5/4
Step-by-step explanation:
I gotchu
Calculating the slope is simple
First, pick two points on the line
Next, see how far the second point is from the first point in the y direction only (the rise)
Next, see how far the second point is from the first point in the x direction only (the run)
Finally, divide the rise by the run
Q1:
rise 1
run 2
1/2
Q2:
rise 2
run -2
-1
Q3:
rise 1
run 2
1/2
Q4:
rise 5
run -4
-5/4
The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last:
Complete question :
The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last: 360 and 460 days
Answer:
0.67307
Step-by-step explanation:
Given that :
Mean, m = 400
Standard deviation, s = 50
Sample size, n = 6000
Obtain the standardized score :
Zscore =(x - m) / s
For X = 360
P(x < 360)
Zscore =(360 - 400) / 50
Zscore = - 40 / 50
Zscore = - 0.8
P(Z < - 0.8) = 0.21186
For X = 460
P(x < 460)
Zscore =(460 - 400) / 50
Zscore = 60 / 50
Zscore = 1.2
P(Z < 1.2) = 0.88493
P(Z < 1.2) - P(Z < - 0.8)
0.88493 - 0.21186
= 0.67307
In the walk-a-thon, Vernon walked 5.0 miles and
Hillary walked 4.2 miles. Who walked further,
Vernon or Hillary?
Answer:
Vernon
Step-by-step explanation:
Answer:
Vermon
Step-by-step explanation:
Vermon walked further bc
5.0
- 4.2
= 0.8
so vermon walked .8 of a mile further than hillary
please help as fast as possible
Answer:
D
Step-by-step explanation:
You can divide each side length by two to get D
Answer:
The answer is D
Step-by-step explanation:
help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
what do u need help with
Step-by-step explanation:
??
Diet cola was on sale last week; it cost $10 for every 4 packs of cola. How much do 2 packs of cola cost?
Answer:
2 pack of cola would cost $5.
Step-by-step explanation:
the reason for this being is that
4 packs of cola = $10
2 is half of 4
5 is half of 10
$5<====
Answer:
I would say 5$
Step-by-step explanation:
You are going from 4 packs to 2 packs (so you are dividing by 2). So if you divide 10$ by 2 you get 5$
I hope this helps!
Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. What is the probability that all three randomly selected households own a dog
Answer: 0.091125
Step-by-step explanation:
Given : P(dog) = 0.45
If 3 households are selected randomly and with replacement and the ownership is mutually exclusive.
Then , probability that all three randomly selected households own a dog = [tex](0.45)^3=0.091125[/tex]
Hence, required probability = 0.091125
The probability that all three randomly selected households own a dog is
0.091125.
Given that,
Suppose that a recent poll of American households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird.Three households are selected randomly and with replacement and the ownership is mutually exclusive.Based on the above information, the calculation is as follows:
[tex]= 0.45^3[/tex]
= 0.091125
Learn more: brainly.com/question/17429689
Find the slope of the line in the graph.
PLEASE HELP!!!!
Answer:
-3/4x
Step-by-step explanation:
down 3 left 4 rise/run
You roll a 6-sided die.
What is P(not factor of 35)?
Simplify your answer and write it as a fraction or whole number.
Answer:
[tex]\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}[/tex]
Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
We know [tex]1 \cdot 35 = 35[/tex], so two factors are 1 and 35.We know [tex]5 \cdot 7 = 35[/tex], so two factors are 5 and 7.Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be [tex]\frac{2}{6} = \frac{1}{3}[/tex] since there are two factors and 6 possible options.
This means, logically, there is a [tex]\frac{4}{6} = \frac{2}{3}[/tex] chance of not rolling a factor of 35.
Hope this helped!
A school teacher wants to survey students at her elementary school. She surveys 20 students from each grade level. What type of sampling technique she is using
Answer:
Stratified Random sampling
Step-by-step explanation:
When a random observations are selected from a number of individual groups in a particular population, the type of sampling technique is called Stratified Random sampling. Stratified Random sampling begins with the partitioning or splitting or a population into subgroups. A number of random selection are then made from each of the subgroups to form a collection of larger samples. This is different from the simple random sampling technique which makes random selection directly from a larger sample or population without prior partitioning of the population. The different grades of students represents the individual stratum from which random selections are made.
What is the solution to the system of equations?
5-
y=-2x+ 6
y=3x +1/
-5
Answer:
D. (1,4) this is the correct answer
I WILL GIVE BRAINLESIT PLEASE I NEED HELP!!! 5a. When paying for a restaurant order, a customer spent $20.00 for a $17.00 meal. What percent was the tip? Round to the nearest tenth. 5b. When paying for a restaurant order, a customer's total for food was $30.00. What is a 18% tip for that total?
Answer:
5a. Tip was 17.65%
5b. Total was $35.4
Step-by-step explanation:
5a.
Create the following equation:
17 + 17x = 20
17x = 3
x = 3/17
5b.
Find 18% of 30.
30 x 0.18 = 5.4
Add 5.4 to 30.
30 + 5.4 = 35.4
How many solutions does the nonlinear system of equations graphed below have?
Answer:
C. Four
Step-by-step explanation:
Because the circle (which could be represented by one equation) and the parabola (which could be represented by another equation) intersect at four distinct points, the graphed systems of equations has four solutions.
Answer:
It has four solution so the answer is C.
Step-by-step explanation:
In one large city, 40% of all households own a dog, 32% own a cat, and 18% own both. Suppose we randomly select a household and learn that the household owns a cat. Find the probability that the household owns a dog.
Answer:
Step-by-step explanation:
0.563
Answer:
0.563
Step-by-step explanation:
P(D|C)= 0.18/0.32
= 0.563
(GIVING BRAINLIEST!!!)
Choose the division equation that represents the fraction shown.
one seventh = ________
6 ÷ 7 = ________
7 ÷ 6 = ________
7 ÷ 1 = ________
1 ÷ 7 = ________
Answer:
D
Step-by-step explanation:
I did the test and got it right.
On their most recent 8-mile training run, Pepe averaged a speed of
I of a mile in 4.5 minutes, while Paula averaged of a mile in 7.5
minutes.
How many minutes did it take the faster runner to finish the 8 mile
run?
Answer:
36 minutes
Step-by-step explanation:
Given that:
The length of run = 8 miles
Average speed of Pepe = 4.5 minutes per minute
Average speed of Paula = 7.5 minutes per minute
To find:
Minutes taken by the faster runner to finish the 8 mile run?
Solution:
First of all, let us have a look at the relation between Time and Speed.
[tex]Speed = \dfrac{Distance}{Time}[/tex]
If the distance is a constant, then
[tex]Speed \propto \dfrac{1}{Time}[/tex]
i.e. Speed is inversely proportional to time.
That means faster runner will take smaller amount of time.
So, faster runner is Pepe who is taking lesser time.
Time taken to complete 1 mile = 4.5 minutes
Time taken to complete 8 miles = 4.5 [tex]\times[/tex] 8 minutes = 36 minutes
So, the faster runner i.e. Pepe takes 36 minutes.
Determine the values of the principal square roots.
V25 =
V64 =
V100
Answer:
√25 = 5
√64 = 8
√100 = 10
Step-by-step explanation:
The principal square root is the positive number square root
Answer:
he is correct. I got the question right on my assignment in edge
Step-by-step explanation:
In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 75, 80, and 91 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79, inclusive)? Assume that all test scores have a non-negative value.
Answer:
Scores between 34 and 70 on the fourth test will give Paul a C for the semester.
Step-by-step explanation:
The average is given by the sum of all scores divided by the number of scores.
In this question:
Sum of all scores: 75 + 80 + 91 + x = 246 + x
Number of tests : 4
Grade of 70:
[tex]\frac{246 + x}{4} = 70[/tex]
[tex]246 + x = 280[/tex]
[tex]x = 280 - 246[/tex]
[tex]x = 34[/tex]
Grade of 79:
[tex]\frac{246 + x}{4} = 79[/tex]
[tex]246 + x = 316[/tex]
[tex]x = 316 - 246[/tex]
[tex]x = 70[/tex]
Scores between 34 and 70 on the fourth test will give Paul a C for the semester.
HELP PLZZZZZZ
It costs Linus a processing fee of $45 to set up a new cell phone account with AT&T plus $65 per month for the cell phone plan. His sister, Lucy, also wants to use the cell phone to call her friends each month. Lucy agrees to pay Linus $15 towards the processing fee and tells him she will pay $20 per month.
Define a variable.
Write an expression that represents how much Linus will have to pay for the cell phone if Lucy contributes.
Determine how much Linus will pay if he has the cell phone for 6 months.
Step-by-step explanation:
Let x represent the number of months for the cell phone plan.
Since Lucy is contributing, Linus does not have to pay the full cost.
Instead Linus will have to pay:
($45 + $65x) - ($15 + $20x)
= $30 + $45x.
If x = 6,
Linus will pay $30 + $45(6) = $300.
PLEASE god answer this question, no one will ever answer my stuff.
If the simple interest on $6000 for 8 years is $2400, then what is the interest rate?
Answer:
there are different intrest rates, depending on where it is. but im choosing 8400
Step-by-step explanation:
Rahul drives his car and travels 10Km in 12mins. What is the distance covered by him in 1 hour?
Pls answer quick I have an exam tomm I need answer for this question
First helpful answer will be marked as brainliest
Regards,
Me
Answer:
50
Step-by-step explanation:
first of all thimk about how many 12s there is in 60 (which is 1hr=60) and thats 5, so multiply 5 by 10 because in each 12 mins its 10 km which gives you 50 as the answer
I really need help with this question I’ve been struggling on this plzzz help
Answer: A = 30, B = 91, C = 59
Step-by-step explanation:
(2x-1)+(3x+1)+x = 180
2x-1+3x+1+x=180
6x=180
x=30
for which value of x is the expression undefined?
IN A HURRY PLEASE HELP
Answer:
f=3
Step-by-step explanation:
Sarah is scuba diving. She starts at a depth of 37 feet below the waters surface, descends 11 feet, ascends 7 feet, ascends 5 more feet and then descends 20 feet. Write an expression to find her final depth.
Answer:
37-11+7+5-20=18
Step-by-step explanation:
Answer:
-37-11+7+5-20
Simplify. Assume that all variables are positive.
Answer: [tex]-3x^{2} y\sqrt[3]{2y}[/tex]
Step-by-step explanation:
What is the probability a sample of 66 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-based Reading and Writing part of the test?
This question is incomplete, the complete question is;
A certain organization reported the following scores for two parts of the scholastic Aptitude test ( SAT)
Evidence-based Reading and writing : 533
Mathematics : 527
Assume the population standard deviation for each part is σ = 100.
What is the probability a sample of 66 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-based Reading and Writing part of the test?
Answer: the required probability is 0.582
Step-by-step explanation:
Given that;
Population mean = 533
sample size n = 66
population standard deviation σ = 100
σ of x bar = 100/√66 = 12.3091
Normal distribution with mean 533 and SD of 12.3091
P( 523 <x< 543 )
Z = 10 / 12.3091
Z = 0.8124, -0.8124
P( z < 0 0.8124) - P( z < -0.8124) { from table}
⇒ 0.7910 - 0.2090
= 0.582
Therefore, the required probability is 0.582
3х - 2 = 4 - x
pleaseee answer this is due in 20 minutes
Step-by-step explanation:
3x-2=4-x
3x+x=4+2
4x=6
x=6
4
x=3
2
hope it helps.
