Answer:
The alternative is characterized in the interpretation section following the table, as per the case mentioned.
Step-by-step explanation:
According to the question:
The sample mean will be:
⇒ [tex]\bar{x}=\frac{\Sigma x}{n}[/tex]
[tex]=\frac{1050500}{55}[/tex]
[tex]=19100[/tex]
The critical value of z ([tex]z_e=1.96[/tex]) seems to be the 95 % confidence interval. So the required confidence interval will be:
= [tex]\bar{x} \ \pm \ x_{critical}\frac{\sigma}{\sqrt{n} }[/tex]
= [tex]19100 \ \pm \ 1.96.\frac{3027}{\sqrt{25} }[/tex]
= [tex]19100 \ \pm \ 800[/tex]
Consequently, the average cost of repairing flames and smoke injury can outcomes from household fires started by careless tobacco is therefore estimated at quite a 95 percent confidence interval ($18300, $19900). The 95 percent confidence interval indicates that the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.The 95% confidence interval is ($18300 , $19900) and according to the confidence interval, the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.
Given :
The mean cost to repair the smoke and fire damage that results from home fires of all causes is $11,389.Sample size, n = 55.The population standard deviation can be assumed known with σ = $3,027.First, find the sample mean by using the following formula:
[tex]\rm \bar{x}=\dfrac{\sum x}{n}[/tex]
[tex]\rm \bar{x}=\dfrac{1050500}{55}[/tex]
[tex]\rm \bar {x} = 19100[/tex]
Now, for 95% confidence level, the confidence interval will be:
[tex]= \rm \bar{x} \pm x_{critical} \dfrac{\sigma}{\sqrt{n} }[/tex]
[tex]\rm = 19100\pm 1.96\times \dfrac{3027}{\sqrt{55} }[/tex]
[tex]=19100\pm 800[/tex]
The 95% confidence interval is ($18300 , $19900).
According to the confidence interval, the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.
For more information, refer to the link given below:
https://brainly.com/question/20747890
PLZZZZZZZZZZZZZZ HURRYYY ..The graph represents the serving sizes of chow mein at a local restaurant. Which of these describes the unit rate? *
A: (5, 1250) where 1250 is the unit rate
B: (3, 750) where 3 is the unit rate
C: (1, 250) where 250 is the unit rate
D: (7, 1750) where 7 is the unit rate
Answer:
C
Step-by-step explanation:
the unit rate is how much for one. so in the graph we can see that one serving is equal to 250 grams.
hope this helps :))
Help with this math please
Answer:
The answer is -20 .
Step-by-step explanation:
You have to substitute x = -4 into the function :
[tex]f(x) = 3x - 8[/tex]
[tex]f( - 4) = 3( - 4) - 8[/tex]
[tex]f( - 4) = - 20[/tex]
Answer:
Step-by-step explanation:
f(x) = 3x - 8
f(-4) = 3*(-4) - 8
f(-4) = -12 - 8
f(-4) = - 20
-20 is what goes in the box.
Your friend has a mold that holds 3/4 of a cup of root beer if she has six cups of root beer how many popsicles can she make
Answer:
8
Step-by-step explanation:
If you turn 8 into a fraction you'll get 24 / 4
then you divide 24/4 by 3/4 you'll get 8
Answer:
Your friend can make 8 popsicles
Explanation:
Convert any mixed numbers to fractions. Then your initial equation becomes:
6/1 ÷ 3/4 = ?
Applying the fractions formula for division (flip the second fraction and multiply):
6/1 x 4/3 = 24/3
Simplify 24/3, the answer is:
8 popsicles
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
According to the High School Athletics Participation Survey, 55% of students enrolled in high school participate in athletic programs. Suppose 12 high school students are randomly selected and the number who participate in athletic programs is recorded. Round probabilities to 4 decimal places. 6.Explain why this is a binomial experiment
Answer:
The given experiment is binomial experiment
1. There are two outcomes classified as success or failure.
2. The probability of success remains fixed on each trial.
3. There are n fixed number of trial.
4. The trails are independent.
Step-by-step explanation:
The given experiment is binomial experiment because
1. There are two outcomes classified as success or failure. Here success is participating in athletic programs and failure is not participating in athletic programs.
2. The probability of success i.e. probability of participating in athletic programs 0.55 remains fixed on each trial.
3. There are n fixed number of trial i.e. 12.
4. The trails are independent i.e. students participates in athletic programs independently.
What is 17/40 as a decimal
Answer: 0.425
Step-by-step explanation:
The period of is....
If you are right I will mark you brainliest.
Answer:
π/4
Step-by-step explanation:
help asap it important
what is 1 3/8 divided by 1/2?
Answer:
2.75 or 2 3/4
Step-by-step explanation:
Answer:
11/4
Step-by-step explanation:
First start by writing the equation using only fractions:
11/8 / 1/2 =
Next, change the sign to multiplication by taking the reciprocal of the second number:
11/8 * 2 =
Then multiply the two numbers together:
22/8 =
And finally, simply the fraction:
11/4
Please help really urgent I will do anything you want me to doooo!!! Pleaseeeee
Answer:
3
Step-by-step explanation:
the runners are running 5.6 miles mph
Brain weights are normally distibuted with mean 1400.48 grams and standard deviation 106.33 grams. Find the 80th percentile of this distribution.
Answer:
The 80th percentile of the distribution is 1,490.01 grams
Step-by-step explanation:
Here, we want to find the 80% of the distribution
80% means 80/100 = 0.8
We need to get the z-score equivalent to 80th percentile;
This is equal to 0.842
Mathematically;
z-score = (x - mean)/SD
we want to calculate x here;
0.842 = (x - 1400.48)/(106.33)
106.33(0.842) + 1400.48 = x
x = 1,490.00986 which is 1,490.01 grams to 2 decimal places
if anyone would help I would give you brainliest
Answer:
[tex]x = 14.[/tex]
Step-by-step explanation:
[tex]using \: the \: sum \: of \: angles : \\ (7x - 11) + (2x - 3 ) + (5x - 2) = 180 \\ 14x - 16 = 180 \\ 14x = 196 \\ x = 14[/tex]
I WILL MAKE U BRAINLIEST PLZ HELP (Simplify. Enter the answer in the box.
[tex] \sqrt[3]{512} [/tex]
Answer:
It is 8
Step-by-step explanation:
Question 2 (1 point)
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7
gallons of gas?
Answer:
63/3 m/7
Step-by-step explanation:
i dont have time to exlplain lol just trust
A recipe calls for 5 cups of sugar for 30 servings . How many cups of sugar are needed to make 8 servings?
A medical school claims that more than 28% of its students plan to go into general practice. To test this claim, a random sample of 130 of the school's students is selected. Of these, 32% of them plan to go into general practice. Find the P-value for this test of the school's claim.
Answer:
The p-value of the test is 0.1314.
Step-by-step explanation:
In this case we need to test the claim made by a medical school that more than 28% of its students plan to go into general practice.
The hypothesis can be defined as follows:
H₀: The proportion of students planning to go to general practice is 28%, i.e. p = 0.28.
Hₐ: The proportion of students planning to go to general practice is more than 28%, i.e. p > 0.28.
The information provided is:
n = 130
[tex]\hat p=0.32[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.32-0.28}{\sqrt{\frac{0.28(1-0.28)}{130}}}\\\\=1.12[/tex]
The test statistic value is 1.12.
Compute the p-value as follows:
[tex]p-value=P(Z>1.12)\\[/tex]
[tex]=1-P(Z<1.12)\\\\=1-0.86864\\\\=0.13136\\\\\approx 0.1314[/tex]
The p-value of the test is 0.1314.
*Use the z-table.
The amount of money deposited into an account in a given year is multiplied by a growth factor of x = 1 + r. $800 is
deposited at the start of the first year; an additional $300 is deposited at the start of the next year, and $625 at the start of
the following year. Write an expression that represents the amount of money in the account at the end of the three years.
Answer:
800(1 + r)³ + 300(1 + r)² + 625(1 + r)
Step-by-step explanation:
At the beginning of the first year $800 is deposited.
At the end of the first year the amount of money in account = $800 × growth factor = 800(1 + r)
At the beginning of the second year, $300 is deposited, the money in account = 800(1 + r) + 300
At the end of the second year the amount of money in account is multiplied by growth factor. = [800(1 + r) + 300] × 1 + r = 800(1 + r)² + 300(1 + r)
At the beginning of the third year, $625 is deposited, the money in account = 800(1 + r)² + 300(1 + r) + 625
At the end of third year the money = [800(1 + r)² + 300(1 + r) + 625] × 1 + r = 800(1 + r)³ + 300(1 + r)² + 625(1 + r)
HELP IT'S DUE TONIGHT!!!!!
If a piece of steel 12 feet long weighs 168 pounds, how much will a piece of steel 20 feet long weigh?
Answer:
280lbs
Step-by-step explanation:
168/12=14
14×20=280
15% of students in class are left handed. If there are 6 students who are left handed how many students are in the class
Achange in temperature of 6°C is equivalent to a
change in temperature of
°F
Celsius
1
2
6
Fahrenheit
18
3.8
2
Math
the answer is 10.8.
What’s the total amount Janet has to repay after three years?
Answer:
What are the number to find the amount I thin you're missing information
Step-by-step explanation:
Answer:
2,315.25
Step-by-step explanation:
If (Triangle)ABC is similar to (Triangle)EDC, what is the value of x?
Answer:
37.5 (G)
Step-by-step explanation:
Set up a proportion:
[tex] \frac{40}{100} = \frac{15}{x} [/tex]
Next cross multiply
[tex](15)(100) = (40)(x)[/tex]
[tex]1500 = 40x[/tex]
Lastly solve for x by dividing both sides by 40
[tex]\frac{1500}{40} = \frac{40x}{40} [/tex]
[tex]x = 37.5[/tex]
my recipe for apple cider punch calls for 2 quarts of apple cider, three teaspoons of cinnamon, and one pint of lemon-lime soda. This will make enough for 8 people. in my neighborhood, there are 40 people. how much do I need of each ingredient for my neighborhood to share
✨Answer:✨
10 quarts of apple cider, 15 teaspoons of cinnamon, 5 pints of lemon lime soda.
✨Step-by-step explanation:✨
40 people in your neighborhood ÷ 8 people (how much 1 recipe can feed) = 5 punches so you can feed 40 people
2 quarts of apple cider x 5 = 10 quarts of apple cider
3 teaspoons of cinnamon x 5 = 15 teaspoons of cinnamon
1 pint of lemon-lime soda x 5 = 5 pints of lemon-lime soda
-10x + 35-37 OR 3x – 10 <-25
Answer:
3x – 10 < -25 → x < -5
-10x + 35-37 → -10x - 2
Plz mark brainliest:)
Consider the following information: Observations 1 2 3 4 5 6 Num. of defects 10 18 13 15 9 12 The number of runs above and below the sample median is:
Answer:
There are 3 runs above and below the sample mean
Step-by-step explanation:
From the given information; we have a table that can be computed as:
Observations 1 2 3 4 5 6
Number of defects 10 18 13 15 9 12
If we sort the order in ascending order; we have:
Observations 5 1 6 3 4 2
Number of defects 9 10 12 13 15 18
The median is the middle number; here the integers are even :
Thus, the median is (12 + 13)/2 = 12.5
We need to make counts from the table given above to determine if they are below or above the median
Observations 1 2 3 4 5 6
Number of defects 10 18 13 15 9 12
Above(A) /Below (B) B A A A B B
To count for the number of runs from the beginning and when there is a change of runs from A to B; we have:
Observations 1 2 3 4 5 6
Number of defects 10 18 13 15 9 12
Above(A) /Below (B) B A A A B B
Runs 1 2 - - 3 -
Therefore, from the analysis, there are 3 runs above and below the sample mean
The median element of a dataset is the middle element of the dataset.
There are 3 runs above and below the sample median
The information is given as:
Observations 1 2 3 4 5 6
Defects 10 18 13 15 9 12
In ascending order, the information is represented as:
Defects 9 10 12 13 15 18
Observations 5 1 6 3 4 2
The total number of observations is:
[tex]\mathbf{n = 5 + 1 + 6 + 3+ 4 + 2}[/tex]
[tex]\mathbf{n = 21}[/tex]
The median element is calculated as:
[tex]\mathbf{Median = \frac{n + 1}{2}th}[/tex]
Substitute 21 for n
[tex]\mathbf{Median = \frac{21 + 1}{2}th}[/tex]
[tex]\mathbf{Median = \frac{22}{2}th}[/tex]
[tex]\mathbf{Median = 11th}[/tex]
The 11th element is 12.
So, the median is:
[tex]\mathbf{Median = 12}[/tex]
Considering the given information;
Observations 1 2 3 4 5 6
Defects 10 18 13 15 9 12
The defects greater than the median (i.e. 12) are above (A) the median, while the defects less than the median are below (B)
So, we have:
Observations 1 2 3 4 5 6
Defects 10 18 13 15 9 12
Status B A A A B -
Next, we take a count of the number of times the status changes, i.e. from B to A, from A to B, from A or B to -
The count is 3.
Hence, there are 3 runs above and below the sample median
Read more about median at:
https://brainly.com/question/6587502
how to solve -4p+(-6p)
Answer:
-10p
Step-by-step explanation:
-4p + (-6p)
Because both have a variable p, you can combine them. Both are negative so you get the equation:
-4p -6p
This would give you:
-10p
I hope that this helps! :)
0.1 is 1/10 of what?
Answer:
1
Step-by-step explanation:
2. Knowing the results of the 2018 SAT math exam with a mean of 531 and standard deviation of 114, answer the following questions: (10 points)
a. What percentage of test takers scored lower than 400 on the math SAT?
Your calculation:
b. What percentage scored between 600 and 700 points?
Your calculation:
c. Your score is 725. What is your percentile rank?
Answer:
(a) 12.5%
(b) 20%
(c) 96th
Step-by-step explanation:
Let X denote the results of the 2018 SAT math exam.
It is provided that the mean of exam was, μ = 531 and standard deviation of σ 114.
Assume that X follows a normal distribution.
(a)
Compute the probability of test takers who scored lower than 400 on the math SAT as follows:
[tex]P(X<400)=P(\frac{X-\mu}{\sigma}<\frac{400-531}{114})[/tex]
[tex]=P(Z<-1.15)\\\\=0.12507\\\\\approx 0.125[/tex]
Thus, the percentage of test takers who scored lower than 400 on the math SAT is 12.5%.
(b)
Compute the probability of test takers who scored between 600 and 700 points as follows:
[tex]P(600<X<700)=P(\frac{600-531}{114}<\frac{X-\mu}{\sigma}<\frac{700-531}{114})[/tex]
[tex]=P(0.61<Z<1.48)\\\\=P(Z<1.48)-P(Z<0.61)\\\\=0.93056-0.72907\\\\=0.20149\\\\\approx 0.20[/tex]
Thus, the percentage of test takers who scored between 600 and 700 points is 20%.
(c)
Compute the value of P (Z < 725) as follows:
[tex]P(X<725)=P(\frac{X-\mu}{\sigma}<\frac{725-531}{114})[/tex]
[tex]=P(Z<1.70)\\\\=0.95543\\\\\approx 0.96[/tex]
Thus, a student who scores 725 has a 96th percentile rank.
Sarah bought 3 purses which cost $12.30, $34.23 and $23.19. How much did she spend?
Answer:
$69.72
Step-by-step explanation:
3. A family of 6 is visiting a mall. The mall has 10 exit doors. Assume random selection. Find the probability that a. No family member chooses the same exit door. b. Every family member chooses the same exit door
Answer:
(A) 0.6
(B) 0.1
Step-by-step explanation:
(A) Find the probability that NO family member chooses the same exit door.
Now, if no family member chooses the same exit door with another, it means that each person chooses a separate door. If each person chooses a separate door, then 6 out of 10 doors are chosen!
This translates to 6/10 which is = 0.6
So the probability that each family member has a door to him or herself is 0.6
(B) Find the probability that EVERY family member chooses the same exit door.
In this case, the number of persons (family members) does not really count. The focal point of the question is that everybody chooses the same door (and will use the same door). This means that only 1 door out of 10, will be chosen AND the probability that only one door out of 10 will be chosen is
1/10 = 0.1
Which number is rational?
v2
pi
v10
v16
Answer:The square root of 16 is rational.
Step-by-step explanation:
