Answer:
P(939.6 < X < 972.5) = 0.6469
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.
This means that [tex]\mu = 965, \sigma = 113[/tex]
Sample of 57:
This means that [tex]n = 57, s = \frac{113}{\sqrt{57}} = 14.97[/tex]
Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.
This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So
X = 972.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{972.5 - 965}{14.97}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
X = 939.6
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{939.6 - 965}{14.97}[/tex]
[tex]Z = -1.7[/tex]
[tex]Z = -1.7[/tex] has a pvalue of 0.0446
0.6915 - 0.0446 = 0.6469
So
P(939.6 < X < 972.5) = 0.6469
HELP ME!!!! PLZ!!!!
The determinants of the minors of the first-row entries are _____ .
11, -20, 23
11, -16, 26
13, -20, 23
13, -16, 26
The determinants of the minors of the second-row entries are______ .
-21, 5, -24
-21, 7, -28
-18, 7, -28
-18, 5, -24
The determinants of the minors of the third-row entries are_______ .
4, 9, -14
4, 8, -12
6, 8, -12
6, 9, -14
Answer:
The picture below. (11, -20, 23) , (-21, 5, -24), (6,9,-14)
A sum of money was divided bety
Mary and Dónal. Mary got of 5/8
he money and Dónal got the res
Dónal got €2:40, how much did Mary get
Answer:
4.00
Step-by-step explanation:
each one of the eights is 80 cents. the way to figure it out was to just divide it by 3 or in a different place however many fractions you have/need.
suppose you have 8 pairs of pants, 8 shirts and 7 pairs of shoes how many different outfits can you wear assuming you take one of each?
Answer:
Step-by-step explanation:
8(8)7=448 different outfit combinations
what is the relationship between a magnets magnetic force and magnetic field?
Answer: They both use a magnetic pull?
Step-by-step explanation:
1) (35 + 17) + 43 = 35+ (17 + 43)
Answer:
95?
Step-by-step explanation:
2. A graphic designer is creating an advertisement for a tablet. She needs to enlarge the picture so that 2
Inches on the scale drawing will correspond to 5 Inches on the actual advertisement. If the dimensions
of the scale drawing are 3 Inches by 4 inches, what will be the length and width of the tablet on the
actual advertisement
PLEASE HELP ASAP!
Answer:
lol the answer is 49
Step-by-step explanation:
hope this helps <3
Need help will give brainliest
Answer:
14.6 6 is the likely frequency and 14 is the days if the forcast
2 is 14.2
Step-by-step explanation:
In a population of 2000 students, 230 are left-handed. A random sample of size
50 is selected and the number of left-handed students is recorded. If we
collected many more samples, which of the following could describe the
sampling distribution?
-4x4x(-3x2+9) what is the answer this question on my math homework
Answer:
-48
Step-by-step explanation:
-4x4x(-3x2+9)=-48
Answer:
12x^7−36x^5
Step-by-step explanation:
A horse has a water barrel in which 3/10 of a gallon is drank out of it every day. How many days will it take the horse to drink 42 gallons of water?
Answer:
140 days
Step-by-step explanation:
What is the circle the triangle and the square
Answer:
26
Step-by-step explanation:
○= 7
□=5
◇=4 (The triangle)
The 6th grade yearbook committee pays $15.00 for each yearbook and $19.95 shipping fee for the entire order. What formula represents the amount of money the committee will pay for any order? Let n = number of yearbooks and c=cost of the order.
Answer:
The good kind
Step-by-step explanation:
Yes
Answer:
15n+19.95=c
Step-by-step explanation:
15 per yearbook plus 19.95 equals the total cost
differentiate y=log7(x^5+x)
Answer:
Step-by-step explanation:
Does log7(x^5+x) mean log₇(x⁵+x) ?
What is the equation for the line of reflection?
ФУ
4
B
B
A
A'
2
D
с
C
D'
Х
2
6
8
10
27
Answer:
what
Step-by-step explanation:
500 is what percent of 125?
Answer:
400
Step-by-step explanation:
Solution for 500 is what percent of 125:
500:125*100 =
(500*100):125 =
50000:125 = 400
Now we have: 500 is what percent of 125 = 400
Question: 500 is what percent of 125?
Percentage solution with steps:
Step 1: We make the assumption that 125 is 100% since it is our output value.
Step 2: We next represent the value we seek with [tex]x%[/tex].
Step 3: From step 1, it follows that $100%=125$.
Step 4: In the same vein, $x%=500$.
Step 5: This gives us a pair of simple equations:
100%=125(1)
x%=500(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left-hand side) of both equations have the same unit (%); we have
[tex]\frac{100\%}{x\%}=\frac{125}{500}[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{500}{125}[/tex]
[tex]\Rightarrow x=400\%[/tex]
Therefore, 500 is 400% of 125
Hope this answer helps and answers your question! Have a great day/night!
The population of the UK is 64 million compared to the world's population of 7 billion (7000 million).
Write this proportion as a percentage, correct to 1 decimal place.
Answer:
0.009%
Step-by-step explanation:
64/7000*100=0.009142857%
The proportion of population in UK to the world population is 64 : 7000 or
0.9 %
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the value of population in UK be = 64 milliom
Let the value of world population be = 7 billion
Now ,
The value of 1 billion = 1000 million
So , the value of 7 billion = 7 x 1000 million
The value of 7 billion = 7000 million
Now , the value of world population is = 7000 million
So , the proportion of population of UK to the world population is given by = value of population in UK : value of world population
And , the equation will be
The proportion of population of UK to the world population is = 64 : 7000
The proportion of population of UK to the world population is = 0.00914
The proportion of population of UK to the world population is = 0.9 %
Hence , The proportion of population in UK to the world population is
64 : 7000 or 0.9 %
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Eight bricks are laid end to end along the edge of a flower bed. Each brick is inches long. How long is the row of bricks, in inches?
Eight bricks are laid end to end along the edge of a flower bed.
Each brick is 11/2 inches long. How long is the row of bricks, in inches?
11/2 inches
A average row of bricks is 7-1/2 inches
11/2 x 7-1/2 = 38
38 inches
Answer:
1.5 times 8 equals 12. The row of bricks is 12 inches long
Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon.
How many yards does she have total?
Answer:
7 1/2
Step-by-step explanation:
i belive so my brain hurts so much but i can pull through
What is 4 + 200039393939
Answer:
200039393943
Step-by-step explanation:
Use a calculator (;
4/5x 1 2/3 plssssssssssssssssss help meeeee
Answer:
Assuming that "x" symbol indicates multiplication, the answer should be 4/3. If you need the decimal form, it would be 1.3. If you want the mixed number form, it'd be 1 1/3.
Step-by-step explanation:
4/5x 1 2/3
4/5 in decimal is 0.8
12/3 in decimal is 4
0.8 multiplied by 4 is 3.2
Therefore 4/5 x 12/3 = 3.2
Carlos and Lily want to know the combined amount of money they made last week.
They both made $12 per hour, but Carlos also made a $35 bonus. Carlos says the
combined amount is 12C + 35 + 121, where is the number of hours he worked,
and L is the number of hours Lily worked. Lily says the combined amount is
12(C + L) + 35. Who is right? Explain.
Answer:
Lily: 12(C + L) + 35
Step-by-step explanation:
Variables: C (Carlos) and L (Lily)
They both get: $12 for the hours they worked
We do not know how long they worked
We do know Carlos got an extra $35.
What does it mean?
12(C + L)+35
12 times the profit of Carlos and Lily. Plus the bonus of Carlos
$$ \sqrt{6\frac{1}{4}} $$
A={0 ; 4 ; 1 supra 3 ; -5 ; 0,(4) ; -2 ; 8 supra 4}
a) A ( U intors ) N ( multimea numerelor naturale )
b) A ( U intors ) Z
c) A / Z
Am nevoie urgent!
Suppose there is an excess demand for cell phones. In a market without price controls market pressures will cause the price of cell phones to ____ until it reaches the equilibrium price
Answer:
Step-by-step explanation:
rise/increase/grow
Answer:
Step-by-step explanation:
The key word is increase.
People who don't have a cell phone will bid the price up until some of the people wanting a cell drop out of the bidding. Then only those willing to pay a higher price will be left to buy the cell at a much higher price than was initially thought to be the right price.
Phew. Try reading that sentence a couple of times. It's right, but there should be an easier way to say it.
help me with this please it's important pleaseeeeeeeeeeeeeeeeee frindes
Answer:
27-64
Step-by-step explanation:
cheating in tests are bad, searching for answers in tests is also bad
but the range is 27-64
If you were to deposit $1,000 into an account that paid 10 percent interest compounded semiannually, how much money would you have in the account one year from now?
Two eights of the championship football game tickets sold for under $30. One eighth of the tickets sold for more than $100. What fraction of the tickets sold for an amount between $30 and $100?
Answer:
3/8
Step-by-step explanation:
three eighths I believe
P + 1/4 (is greater than or equal to) 2
Answer:
P + 1/4 (is greater than or equal to) 2
p<or =2-1/4=7/4
A1 kg object is located at a distance of 6.4 x10^6 m from the center of a larger object whose mass is 6.0 x 10^24 kg. Find the gravitational attraction between them. *
O 11 N
O 8 N
9.8 N
O 6.8 N
Answer:its 11n
Step-by-step explanation:
Simple divide all
The gravitational attraction between the two objects as described is; 9.77N
The force of gravitational attraction according to Newton's law of gravitation can be expressed mathematically as;
F = G m1m2/r²where F = force of attractionG = gravitational constant = 6.67 × 10-¹¹ m3 kg-¹ s-²m1 and m2 = mass of the objects respectivelyr = their distance apart.F = (6.67 × 10-¹¹ × 1 × 6.0 x 10²⁴)/(6.4 x 10⁶)²
F = 9.77 N
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1 A lawnmower that regularly sells for $200 is on sale for $85. Find the % of change that the price was decreased by ??? percent. Round to the nearest whole percent.
Answer:
The price changed by 92.5 %
Step-by-step explanation:
The regular price of lawn mover = 200 dollars
The new selling price = 85 dollars
Change in selling price = 200 -85 dollars = 115 dollars
% change == [tex]\frac{185}{200} * 100 = 92.5[/tex]
The price changed by 92.5 %