Step-by-step explanation:
P(A) = 5/24
P(B|A) = 5/23
(5/24)(5/23) = 25/552
What type of slope is this table?
Answer:
It is a negative slope :)
A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows: Women Men _ Sample mean 12.9 hrs 16.4 hrs Sample SD 4.0 hrs 4.2 hrs Sample size 14 17 This sample data is then used to test the claim that the mean time spent watching television by women is less than the mean time spent watching television by men. Assume that the sample variances are equal, and a .05 significance level is used. What can we conclude from this test
Answer:
there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
Step-by-step explanation:
H0 : μw = μm
H1: μw < μm
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
df1 = 14 - 1 = 13
df2 = 17 - 1 = 16
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((13*4^2) + (16*4.2^2)) ÷ (13 + 16)
Sp² = 16.90
t = (12.9 - 16.4) ÷ sqrt((16.90/14 + 16.90/17))
t = - 3.5 ÷ 1.4836645
t = - 2.359
Using the Pvalue from Tscore ; at 95% ; df = 29
Pvalue = 0.0126
Pvalue < α
0.0126 < 0.05 ;
Hence, we reject the null and conclude that there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
The diameter of a circle on
a coordinate plane has endpoints at (2,3) and (2,8) what is the approximate area of the circle
A. 16 units squared
B. 20 units squared
C. 25 units squared
D. 79 units squared
Evaluate (−2)(−3)(−4)(−1)(−2)
Answer:
-48
Step-by-step explanation:
(-2)(-3)(-4)(-1)(-2)
(6)(-4)(-1)(-2)
(-24)(-1)(-2)
(24)(-2)
(-48)
Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard
deviation of 2.9 in.
The area greater than the Z-score is the probability that a randomly selected 14-year
old boy exceeds 70 in.
What is the probability that a randomly selected 10th grade boy exceeds 70 in.?
Answer:
P(Z>2.24) = P(70<X<1e99) = 1.25%
Step-by-step explanation:
Calculate Z-score:
Z=(x-μ)/σ
Z=(70-63.5)/2.9
Z=6.5/2.9
Z=2.24
Find area greater than Z-score:
P(Z>2.24) = P(70<X<1e99) = normalcdf(70,1e99,63.5,2.9) = 0.0125
So the probability that a randomly selected 10th-grade boy exceeds 70 inches is a 1.25% chance.
Fill in the blanks to complete the sentences below. (a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches ______. (b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than ______ standard errors from the population proportion. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.)
Answer:
a) the proportion of 95% confidence intervals that include the population proportion approaches 0.95
b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Step-by-step explanation:
a)
Given the the data in the question, confidence level is 95%.
In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.
b)
Given the the data in the question, confidence level is 95% and sample proportion
we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.
The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.
hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion
hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Using confidence interval concepts, it is found that:
a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.
b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.
Item a:
For a x% confidence interval, approximately x% of confidence intervals will include the population proportion, and this percentage approaches x as the number of intervals increase, hence, the correct sentence is:
As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.
Item b:
By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, hence, the correct sentence is:
If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.
A similar problem is given at https://brainly.com/question/23536238
what is 2.7 kg in g. i need a simple answer
The height of six trees in a parkway are 5 meters, 8 meters, 12 meters, 6 meters, 11 meters, and 5 meters. Find the mean height of the six trees. A. 7 meters B .7.83 meters C.8.21 meters D.12 meters
Answer:
The answer is B, 7.83 meters.
Step-by-step explanation:
The mean of the six trees refers to the average height of all six trees. To find the mean value of any set of values, simply follow this formula:
Mean = [tex]\frac{Sum of all values}{Number of values you used}[/tex]
So for this particular question, my working was:
Mean = (5m + 8m + 12m + 6m + 11m + 5m)/6 = 7.833333333333m (Round off to 3 significant figures to get 7.83m)
26. Maria reads 40 pages of her novel in 4 hours At that rate, how many pages would she read in 5 hours?
Answer:
(40/4) x 5 = 50 pages
Step-by-step explanation:
Answer:
50 pages
Step-by-step explanation:
You would have to cross multiply, 40/4 = x/5.
Then, you would get 200 = 4x.
Finally, you would have to divide both sides by 4 to get x by itself and you would get your final answer, x = 50. ( Where x equals the pages read in hour 5.)
Hope this helped you out!!
Mike, Tania, Bill, and Rachael each took many samples from the same
population of students. The number of students in each sample is shown in
the table. Which person's sampling distribution is most likely to closely
approximate the population distribution?
Person taking samples Students in each sample
Mike
79
Tania
23
Bill
37
Rachael
51
A. Tania
B. Mike
C. Bill
D. Rachael
Answer: Mike!
Step-by-step explanation:
A book has been discounted by 30%. It is on sale for $22.40. Find the original price.
Which statement best explains the importance of examining multiple perspectives about an event?
It reinforces a specific opinion about the event.
It determines which accounts are biased about the event.
It provides different and sometimes opposing viewpoints about an event.
It requires the use of both primary and secondary sources to learn about the event.
Answer:
It provides different and sometimes opposing viewpoints about an event.
FIRST ANSWER GETS BRAINLIEST!!!
Which situations can be simulated using this spinner? Select three options. (6 sided spinner)
I believe it is A and C.
There are 6 slots on the wheel, so both the numbers in A and E can be divided/multiplied to fit this criterion. For example, 3 times 2 is 6 (the number of gender slots) and 1 times 2 is two, so two out of 6 art teachers will be female.
I hope this helps!!!
Determine the period of the function y = Negative 2 sine (StartFraction pi Over 2 EndFraction) x.
a.
2
c.
-2
b.
3.14
d.
4
Answer: D. 4
Step-by-step explanation:
3. A box containing 90 oz. of cereal cost $4.50. What is the price per ounce
Answer: 0.05$ per ounce
Step-by-step explanation:
Answer:0.05 per oz.
Step-by-step explanation: divide 4.50 by the oz
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
52.08°
Step-by-step explanation:
Law of sine: [tex]\frac{93}{25}[/tex]=[tex]\frac{x}{14}[/tex]
93*14=25x
1302=25x
52.08=x
Pls help !! Pls no links :)
Answer:
A 5 <= A <= 40
Step-by-step explanation:
down point is (5, 50)
up point (40, 350)
so 5 <= A <= 40
The experimental probability that Diana will win a game is 3/8. If she plays the game 80 times, approximately how many times should she expect to win?
Answer:
She should win approximately 30 times.
Step-by-step explanation:
Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.
Evaluate the math problem
Answer:
b. 25
Step-by-step explanation:
The square root cancels out
and you divide only 100 and 4
Answer:
5 or 25
Step-by-step explanation:
I first got the 25 but when I tried a different formula to make sure it's correct I got 5.
A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should the person use?
Enter the mixed number as your answer.
The person should use
(Simplify your answer.)
cups
Answer:
l''kkk 1/2 cups
Step-by-step explanation:
To make 45 muffins the amount of flour required will be 6.25.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.
The amount of flour required will be calculated as:-
2 (1/2) flour ⇒ 18 muffins
2.5 flour ⇒ 18 muffins
2.5 x 2.5 flour ⇒ 2.5 x 18 muffins
6.25 flours ⇒ 45 muffins
Therefore, to make 45 muffins the amount of flour required will be 6.25.
To know more about an expression follow
https://brainly.com/question/23857649
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A company wanted to estimate the mean lifetime of its new model of lightbulbs. They use a method for testing bulbs that accelerates the process so the bulbs burn out relatively quickly, and the company can accurately calculate the corresponding lifetime under regular usage. They took a random sample of 555 of these new bulbs and calculated their lifetimes. Here are the data and summary statistics:
Bulb 1 2 3 4 5
Lifetime 14.2 12.2 13.4 12.6 14.6
Mean= 13.4 years
Standard deviation= sx =1.02 years
Required:
Wrtite a 90% confidence interval for the mean lifetime in years) for this type of bulb.
Answer:
13.4±2.132(1.02/5)
Step-by-step explanation:
Khan Academy
The confidence interval for the mean life time is; CI = 13.4 ± 3.678(1.02/5)
What is the confidence interval?
Formula for confidence interval is;
CI = x' ± z(s/√n)
We are given;
Mean; x' = 13.4
Standard deviation; s = 1.02
Sample size; n = 5
z-score at confidence level of 90% = 1.645
Thus;
CI = 13.4 ± 1.645(1.02/√5)
CI = 13.4 ± 3.678(1.02/5)
Read more about Confidence Interval at; https://brainly.com/question/17097944
620 is invested in an account earning 5.5%interest APR, compounded quarterly. Write a function showing the value of the account after t years
Answer:
Y=620×((1+(0.055÷4))^(4t)
Step-by-step explanation:
Y=X ((1+(r/n))^(nt)
Y future value
X present value 620
R interest rate 0.055
N compound quarterly 4
T time
What Happens to the value of the expression 100 minus X as X increases
Step-by-step explanation:
if f (x) = 100 - x;
as x increases, the value of f(x) will decrease
Answer:
100 decreases
Step-by-step explanation:
Use the graph to write a linear function that relates y to x
y=
Activists say that the Brazilian government is not doing enough to stop the destruction of the Amazon rain forest. In 2004, the government reported the second-highest rate of destruction ever. Brazil's government estimates that farmers cut down 10,590 square miles (27,430 square kilometers) of rain forest. That is an area larger than Vermont, and it shows an increase from the deforestation of the previous year. In fact, the 2004 figure is nearly that of 1995, in which the Amazon lost a record 11,229 square miles (29,080 square kilometers) of trees. The activists are demanding that officials take the problem more seriously. Do It! The rain forest destruction seems to be _________. Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected favorable relentless tiresome limited
Answer:
tiresome
Step-by-step explanation:
Common sense, if people are constantly complaining about an issue and then start to take a more aggressive approach towards things they would seem to be tiresome from all of the stress.
Khan academy pls help. Pls and thx!!!
Step-by-step explanation:
the energy the model will output in 10 years
10(2M+3S)
How do you convert length to cm, in, ml etc.
Answer:
Use an online converter but there is something you should know
Step-by-step explanation:
There are two systems of measurement. The Imperial system (inch, mile, cups, ounces) and the Metric system (millimeter, centimeter, gram, kilogram).
Converting measurements in the imperial system by memory is very hard, but converting measurements in the metric system is more simple.
It is easier to learn by images so here is an image that explains it
Keep in mind that measurements like inches and centimeters are for distance, while gram and ounces are for weight.
Hurry I need help
The bill for Jacoby's
breakfast at a Nashville restaurant is $9. He wants to leave a 20% tip. How much should the tip
be?
Answer:
Step-by-step explanation:
9x0.2= 1.80
the tip is 1.80
hope that helped!<3
Answer:
He should leave a $1.80 tip because 20% of nine is 1.8
If AABC ~ AEDC, find the value of x.
a. 32
5.8
C. 40
d. 15
Answer:
x = 15
Step-by-step explanation:
If ABC similar to EDC then we can use the similarity ratio to find the value of x
32/(3x-5) = 56/(5x-5) cross multiply the fractions
160x - 160 = 168x - 280 export like terms to the same side of the equation
280 - 160 = 168x - 160x
120 = 8x divide both sides by 8
15 = x
How many degrees and in what direction was the figure rotated?
90 degrees counterclockwise
180 degrees
90 degrees clockwise
Answer: 90 degrees clockwise
Step-by-step explanation: