Answer:
a. 0.2898
b. 0.0218
c. 0.1210
d. 0.1515
e. This is because the population is normally distributed.
Step-by-step explanation:
Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal places
We are using the z score formula when random samples
This is given as:
z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
a.If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.
For x = 1500, n = 100
z = 1500 - 1518/325/√100
z = -18/325/10
z = -18/32.5
z = -0.55385
Probability value from Z-Table:
P(x<1500) = 0.28984
Approximately = 0.2898
b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600
For x = 1600, n = 64
= z = 1600 - 1518/325/√64.
z= 1600 - 1518 /325/8
z = 2.01846
Probability value from Z-Table:
P(x<1600) = 0.97823
P(x>1600) = 1 - P(x<1600) = 0.021772
Approximately = 0.0218
c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575
For x = 1550, n = 25
z = 1550 - 1518/325/√25
z = 1550 - 1518/325/5
z = 1550 - 1518/65
= 0.49231
Probability value from Z-Table:
P(x = 1550) = 0.68875
For x = 1575 , n = 25
z = 1575 - 1518/325/√25
z = 1575 - 1518/325/5
z = 1575 - 1518/65
z = 0.87692
Probability value from Z-Table:
P(x=1575) = 0.80974
The probability that they have a mean between 1550 and 1575
P(x = 1575) - P(x = 1550)
= 0.80974 - 0.68875
= 0.12099
Approximately = 0.1210
d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480
For x = 1440, n = 16
z = 1440 - 1518/325/√16
= -0.96
Probability value from Z-Table:
P(x = 1440) = 0.16853
For x = 1480, n = 16
z = 1480 - 1518/325/√16
=-0.46769
Probability value from Z-Table:
P(x = 1480) = 0.32
The probability that they have a mean between 1440 and 1480
P(x = 1480) - P(x = 1440)
= 0.32 - 0.16853
= 0.15147
Approximately = 0.1515
e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?
The central theorem can be used even though the sample size does not exceed 30 because the population is normally distributed.
This is very urgent please tell me if the one that is highlighted all blue is correct or not left or right question,which is correct?
Answer:
right option
Step-by-step explanation:
help please 20 points to who answers not 10 points 20
Answer:
b c and a
Step-by-step explanation:
Answer:
A, B, C
Step-by-step explanation:
Help?!
I dont understand this Help?!
Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?
1+1 pls, help, I will give you brainliest answer!!! just hellllllp!!!!!
Answer:
2!!!
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
1+1=2
Step-by-step explanation:
Brainliest please!
what is the equation of aline that passes through the point (4,-8) and has a slope of -1/2?
Answer:
The equation of the line will be:
[tex]y=-\frac{1}{2}x-6[/tex]
Step-by-step explanation:
Given
slope = m = -1/2point (4, -8)Point slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -1/2 and the point (4,-8)
[tex]y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)[/tex]
[tex]y+8=\frac{-1}{2}\left(x-4\right)[/tex]
subtract 8 from both sides
[tex]y+8-8=\frac{-1}{2}\left(x-4\right)-8[/tex]
[tex]y=-\frac{1}{2}x-6[/tex]
Therefore, the equation of the line will be:
[tex]y=-\frac{1}{2}x-6[/tex]
Evaluate the following expression. Express your answer in simplest form.
3
16
+
5
18
1
2
5
16
10
32
Answer:
518125161348
Step-by-step explanation:
316
518125161032
-------------------------
518125161348
Are these two triangles congruent? Use tracing paper to justify your answer
Answer:
no
Step-by-step explanation:
Answer:
Where's the pic shorty
Step-by-step explanation:
????????
ANOTHER QUESTION PLEASE HELP
Answer:
c) 4
Step-by-step explanation:
Area of a square is its length times its length, or length²
Square root of 16 is 4
2.
If the sun is approximately 1.5 x 1011 meters from Earth, what is the approximate distance from Earth to Mars?
It was supposed to be 10 to the 11 power but it didn’t do it. It out 1011
Answer:
The distance from Earth to Mars is 8×10¹¹ m.
Step-by-step explanation:
Given that,
The speed of light is 3×10⁸ m/s. The sun is approximately 230,000,000,000 m from Mars. If the sun is approximately 1.5 x 10¹¹ meters from Earth, what is the approximate distance from Earth to Mars.
The sun is approximately 2.3 × 10¹¹ m from Mars.
The sun is approximately 1.5 x 10¹¹ m from Earth.
The distance between from Earth to Mars is :
d = 2.3 × 10¹¹ m - 1.5 x 10¹¹ m
= 8×10¹¹ m
Hence, the distance from Earth to Mars is 8×10¹¹ m.
An annual pass to a park costs $120. Use a percent model to find 200% of the full price of the annual pass.
200% of the full price is $____
Given:
An annual pass to a park costs $120.
To find:
The 200% of the full price using percent model.
Solution:
In the percent model,
100% = 1 box
It means 1 box represents park costs $120.
200% = 2 box
[tex]120+120=240[/tex]
It means 2 box represents park costs $240.
Therefore, 200% of the full price is $240.
What is the slops of this line? Enter your answer as a fraction in simplest term in the box.
Answer:
It is 1/4
Step-by-step explanation:
If you go from dot to dot on the line, starting with the first dot:
you go to the right 4 times and then up 1 to get to the next dot.
If you put that into a fraction it is [tex]\frac{rise}{run}[/tex] so going up (1) is ontop of going to the right (4), which is 1/4.
After simplifying the following expression, the coefficient of the m^2 term will be ______.
6mn^2 + 3m^2 + 16m^2 - 6m^2 - 5nm^2
The solution is ______
Answers:
After simplifying the following expression, the coefficient of the m^2 term will be 13
The solution is 13m^2 + 6mn^2 - 5nm^2
====================================================
Explanation:
Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)
You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.
The coefficients 3, 16 and -6 combine to 3+16-6 = 13
Meaning that 3m^2+16m^2-6m^2 = 13m^2
----------------
There are no other like terms that pair up.
The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2
So we cannot combine 6mn^2-5nm^2. We leave it as is.
Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2
Harry earns$12 20 per hour Monday to Friday if he works on a Sunday he owns 1.75 times hourly rate how much will Harry earn if he works for 8 hours on a Sunday
Answer:
he will make 170.80 that day
Step-by-step explanation:
12.20*1.75*8
Answer:
good question................
When two data sets are compared, what characteristics will give the most accurate prediction? Explain.
Answer:
If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.
Step-by-step explanation:
Answer:
If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.
Step-by-step explanation:
correct on edge
An $800 couch is marked up 20%. (increase) What is the new price of the couch?
Answer:
The new price of the couch is $960
Step-by-step explanation:
Each week, Mrs.Mack buys exactly 3 5/8 pounds of cheese for her mac-and-cheese recipe. She chooses from these kinds of cheese. Mrs.Mack buys as many packages as she needs— up to three packages of any kind. What packages of cheese (and how many of each kind) does Mrs.Mack buy? 7/8pounds of american cheese. 0.5 pounds of cheddar cheese. 0.2 pounds of swiss cheese. HELP PLEASE
9514 1404 393
Answer:
3 packages of American (7/8 lb)2 packages of cheddar (1/2 lb)Step-by-step explanation:
The amount of cheese Mrs Mack needs is an odd number of eighths of a pound. So, she must buy an odd number of the 7/8 pound packages.
If she were to buy any 1/5 pound packages, she would have to buy a multiple of 5 of them so as to have an integral number of eighths. The only suitable multiple is 0.
If Mrs Mack buys 1 of the 7/8 pound packages, she cannot make up the difference with half-pound packages. She must buy 3 of the 7/8 pound packages, for a total of 2 5/8 pounds of American cheese. The remaining pound can be bought as 2 of the 1/2 pound packages.
To buy 3 5/8 pounds, Mrs Mack must purchase ...
3 packages of American cheese (7/8 lb each)
2 packages of Cheddar cheese (1/2 lb each)
find the sum for(2x−6)+4(x−3)
Answer:
6x - 18
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(2x - 6) + 4(x - 3)
Step 2: Simplify
Distribute 4: 2x - 6 + 4x - 12Combine like terms (x): 6x - 6 - 12Combine like terms (Z): 6x - 18Which of the following is the mean of the sampling distribution
A sonographer is trying to determine the size of a gallstone. If
the stone is spherical and has a diameter of 12 millimeters, what
Is its volume?
Answer:
0.9 cubic centimeters
Step-by-step explanation:
DECA is putting in a t-shirt order for the school. At the Nike store you can get 3 t-shirts for $25.00. At the
Adidas store you can get 4 t-shirts for $29.00. At the Under Armour store you can get 5 t-shirts for $36.00. At
which store would the school get the better deal?
Answer:
Under Armour store you can get a better deal.
Step-by-step explanation:
25/3=8.33
29/4=7.25
36/5=7.2
I need help with this please
does anyone like 4freakshow if so start a convo in comments 11-16 pleasee
Answer:
mhm
Step-by-step explanation:
Answer:
Bet
Step-by-step explanation:
Translate to algebra:
Tom has t dollars. He buys 5 packets of gum worth d dollars each. How much money does he have left?
Answer: t - 5d
Step-by-step explanation: Since you are buying 5 and they cost d dollars you would multiply 5 by d. Then since you have t dollars as a total you subtract 5d from t so you get t -5d.
I have $10 my mom gave me $30 my dad gave me $30 my aunt and uncle gave me $100 but I had another $10 so how much do I have
Answer:
$180
Step-by-step explanation:
10+30+30+100+10=180
How long would 8 thousand trillion trillion trillion trillion trillion trillion trillion trillion years be if typed out?
Answer:
100 digits
Step-by-step explanation:
One trillion is 10¹², so it adds 12 zeros.
8000 adds 4 digits.
8 trillions add 8·12 = 96 zeros.
So in total you have 96+4 = 100 digits
This number would also be called 8 googol, since 1 googol is 10¹⁰⁰
if 5x+2y=20 and y=10, what is 3x?
Answer:
3x = 0
Step-by-step explanation:
Given,
y = 10
now,
5x+2y = 20
or, 5x+2×10=20
or, 5x = 20-20
or, 5x = 0
or, x = 0/5
or, x = 0
Again,
3x = 3×0 =0
What is the distance between (-3,-5) and (-3, 2)?
Answer: 7 units
Step-by-step explanation:
Just plot the numbers, then count the distance between them
x2 + 5x +4=0
How do we do this
Answer: x=−1 or x=−4
Step-by-step explanation: Solve by factoring
Answer:
(x+1)(x+4)
Step-by-step explanation:
1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the
rectangle
Answer:21
Step-by-step explanation:
x=length
x(x-6)=315
x^2-6x=315
x^2-6x-315=0
(x-21)(x+15)
x=21, x=-15
x cannot be negative so the only answer is 21