Answer:
Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.
Step-by-step explanation:
The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes. As more trials are conducted, the experimental probability generally gets closer to the theoretical probability
What is the area of the triangle that has vertices (-3,2), (5,6) and (-3,10)?
Answer:
I think it will be 32
The 2003 Statistical Abstract of the United States reported that the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30. a. [2.5 pts] How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02
Answer:
A sample of 2017 should be taken.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30.
This means that [tex]\pi = 0.3[/tex]
Confidence level:
Not given, so I will use 95%.
This means that [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a. [2.5 pts] How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02?
A sample of n should be taken.
n is found fo M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.02})^2[/tex]
[tex]n = 2016.8[/tex]
Rounding up:
A sample of 2017 should be taken.
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9. Is there sufficient evidence at the 0.1 level to support the testing firm's claim?
Answer:
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
Step-by-step explanation:
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:
At the null hypothesis, we test if the mean is the same, that is:
[tex]H_0: \mu = 59.5[/tex]
At the alternate hypothesis, we test that it is different, that is:
[tex]H_a: \mu \neq 59.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
59.5 is tested at the null hypothesis:
This means that [tex]\mu = 59.5[/tex]
After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.
This means that [tex]n = 250, X = 59.2, \sigma = 1.9[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}[/tex]
[tex]z = -2.5[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.
Looking at the z-table, Z = -2.5 has a pvalue of 0.0062
2*0.0062 = 0.0124
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
What is the system of linear equations to represent the situation?
Answer:
x+y= 30
8x+7.5y=234
you need to work 18 hours as a dog walker and 12 hours at the carwash
Step-by-step explanation:
x is the number of hours spent dog walking
y is the number of hours spent at the car wash
x+y is to total number of hours work (30)
8x is the amount made dog walking
7.5y is the amount made working at the carwash
234 is the total amount made by working 30 hours
x+y= 30
8x+7.5y=234
to solve:
x+y=30 (isolate the variable x) x=30-y
8(30-y)=234 (substitute in the 30-y for x)
240-8y+7.5y=234 (distribute the 8)
240-.5y=234 (combine like terms)
-.5y=-6 (subtract 240 from each side)
y=12 (divide by .5)
x+12=30 (put 12 in for y)
x=18 (subtract 12 from both sides)
you need to work 18 hours as a dog walker and 12 hours at the carwash
Please help me it’s simple but I just have forgotten
9514 1404 393
Answer:
y = -3x
Step-by-step explanation:
Your solution will be in the form ...
y = (something)
In order to get the y-term by itself, you need to add the opposite of everything else*:
3x +y +(-3x) = 0 +(-3x)
y = -3x . . . . . simplify
_____
* Anything you do to one side of the equation must also be done to the other side. Here, we added -3x to both sides.
you draw two marbles without replacement from a bag containing four green marbles and five black marbles the number of possible outcomes in the sample spaces
The velocity function, in feet per second, is given for a particle moving along a straight line.
v(t) = t2 − t − 182, 1 ≤ t ≤ 15
(a) Find the displacement
(b) ) Find the total distance that the particle travels over the given interval.
Answer:
a)2
B)2
Step-by-step explanation:
David inherited some land in 1960 that was valued at $25,000. The value of the land has increased 10% every 5 years. Which function will calculate the value of the land x years after 1960?
Answer:
f(x) = 25,000(0.1)^5x
Step-by-step explanation:
Cuantos años hay 5823 días
Answer:
16 anos
Step-by-step explanation:
Which of the following is an example of a two-way ANOVA test? a.) Comparing the number of hours of sleep for freshman, sophomores, juniors, and seniors. b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night. c.) Studying the number of hours of sleep for freshmen, sophomores, and juniors. d.) Comparing the number of hours that freshman and seniors study during a semester.
Answer:
b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night.
Step-by-step explanation:
Analysis of Variance could be referred to as a form of statistical test which is used to evaluate the average or mean changes of a continous dependent variable based on the different combination of the input levels of TWO independent or predictor variables. From the options given, the option selected, the analysis is based on TWO independent, predictor variables which are hours of study in a semester and the number of sleeping hours for 3 different levels or categorical groups of students (Freshman, sophomore, Junior and Seniors) get at night.
Since, we can identify two distinct independent variables, then it is fit for analysis using a 2 - way ANOVA.
Automobile engineers wanted to check the effect of a new automatic transmission on mileage. They selected 50 cars of the same make and model. Twenty-five of the cars used the old transmission, while the other 25 cars used the new model of transmission. A hypothesis test on the difference between the means was conducted. Which one of the following is a condition necessary to conduct this test?
a. The standard deviation of each group should be different.
b. The sampling distribution of the difference between the sample means is bimodal.
c. Since the data were random, no linear regression was possible.
d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.
e. The difference between the means was within one standard deviation.
Answer:
d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.
Step-by-step explanation:
A hypothesis test on the difference between the means must satisfy the following conditions
1) the samples must be randomly selected
2) each sample must have a known standard deviation
3) the samples must be independent
4) the samples must be from normal distribution
Hence only part d gives the right answer.
2x+3x-4y+7y-x+20. Find equal expressions
Answer: 4x + 3y +20 is your answer hope this helped
plz make brainly
Step-by-step explanation:
i hope it helps XD......
On average, 4/20 of the money you spend on a product pays for the packaging. What is this fraction when you cancel it down?
Answer:
1/5
U can do it by the cutting methord.
HELP ME PLEASEEEEEEEEEE
Answer:
The perimeter of rectangle JKLM is 16 units.
Step-by-step explanation:
Perimeter is the area around the shape, so if you look at the space between K and J, the units there are 7. Multiply 7 by 2 (since there are two sides), and then add 2. 2 + 14 = 16.
Answer:
17 units
Step-by-step explanation:
can u mark me as brainliest?
Belinda builds a rectangular prism that is 2 cubes long, 3 cubes wide, and 2 cubes tall. Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism. What is the volume of April's prism? Use an equation to show your work.
Answer:
96 cubes vol.
Step-by-step explanation:
the volume of Belinda's prism =
2×3×2 = 12 cubes vol.
Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.
the volume of April's prism =
(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.
so,
the volume of April's prism = (2)³ times the volume of Belinda's prism
Ashas age is twice the age of Roman. After how many years will Roman be two third of Ashas age?
Answer:
5
Step-by-step explanation:
DUE IN 3 MINUTES PLEASE HELP
Answer:
B. 12^3 - 12^2 - 11
Step-by-step explanation:
........
Write an expression to show the sum of g and h reduced by 11.
Answer:
Required expression = (g+h) - 11
Quickly Need help ASAP
Answer:
It's (B), using L'Hopital's Rule.
Which of the following lists all the positive factors of 8?
O 1,8
O 2,4
O 2, 4, 6
O 8, 16, 32
O 1, 2, 4, 8
Calculator
i will give Brainiest if you are right
Answer:
J is the correct option.
Step-by-step explanation:
Have a nice day!
Quick. What is the product of the LCM and the GCD of 6 and 9? ANSWER FAST
Solve t - 4 > 12
1. t > -12
2. t > 12
3. t > -16
4. t > 16
Answer:
4. t>16
hope it helps......
What does x have to equal to make the statement true (solve for x)
a. 2x =10
b. -3x = 21
c. 1/3(x) = 6
d. -1/2(x) = -7
Answer:
See below
Step-by-step explanation:
2x = 10
Divide by 2.
x = 5
x has to equal 5 to make the first statement true.
Proof:
2x = 10
2(5) = 10
10 = 10
-3x = 21
Divide by -3.
x = -7
x has to equal -7 to make the second statement true.
Proof:
-3x = 21
-3(-7) = 21
21 = 21
1/3(x) = 6
Multiply by 3 to cancel the fraction.
x = 18
x has to equal 18 to make the third statement true.
Proof:
1/3(x) = 6
1/3(18) = 6
6 = 6
-1/2(x) = -7
Multiply by -2 to cancel the fraction.
x = 14
x has to equal 14 to make the fourth statement true.
Proof:
-1/2(x) = -7
-1/2(14) = -7
-7 = -7
What is 3.4 million divided by 60
Answer:
[tex]56666\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:56,666.666
Step-by-step explanation:
Respuesta
Olive flipped a coin and rolled a number cube with the
numbers 1-6 on it. What is the probability that she flipped
heads and rolled an even number?
1
N
3
4
5
6
H
H1
H2
H3
H4
H5
H6
T
T1
T2
T3
T4
T 5
T6
3
3
Answer:
p
Step-by-step explanation:
Write the absolute value equation that is represented by the graph
Answer:
Step-by-step explanation:
g(x) = -|x-3| +4
A jar contains 4 marbles marked with the numbers 1 through 4. You pick a marble at random. What is the
probability of not picking the marble marked with the number 3? Enter your answer as a simplified
fraction.
The probability of not picking the marble marked with the number 3 is
Answer:
p =favorable outcome/possible outcome
p(not 3)=3/4
Suki named a fraction that was not a multiple of. Which fraction could she have
named?
A. 6/4
B. 9/4
с. 10/4
D.12/4
The diameter of a circle is 13 ft. Find the circumference to the nearest tenth.
Step-by-step explanation:
circumference of a circle
U = 2 x pi x r
what you know:
U = 13
rearrange and solve for r
U/(2 x pi) = r