Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction
If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.
Answer: The z-score = 2.46
Step-by-step explanation:
Given: sample size : n= 10
Population mean : [tex]\mu= 29056[/tex]
population standard deviation : [tex]\sigma= 3339[/tex]
Sample mean : [tex]\overline{x} = 31650[/tex]
Formula to calculate z :
[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Substitute all values, we get
[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]
Hence, the z-score = 2.46
The question is below
Answer:
x + 7
Step-by-step explanation:
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Using the rule of subtraction, how could you rewrite the following as an addition sentence? -3 - 7
Answer:
(-3) + (-7)
Step-by-step explanation:
Follow me please.......
please help I need the answer!!! thanks in advance!
Answer:
0.903
Step-by-step explanation:
[tex] log_{a}8 \\ \\ = log_{a} {2}^{3} \\ \\ = 3log_{a} {2} \\ \\ = 3 \times 0.301 \\ \\ log_{a}8 = 0.903[/tex]
I. What is
42% of
18?
need help fast!
Answer:
It is 7.56!
Other:
Brainliest? Thanks!
What is the size of the exterior and interior angle of a regular polygon if it has 3 sides
Answer:
120° and 60°
Step-by-step explanation:
The sum of the exterior angle of a polygon is 360°, then
exterior angle = 360° ÷ 3 = 120°
The exterior and interior angle sum to 180°, then
interior angle = 180° - 120° = 60°
Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time
Answer:
n = 8Step-by-step explanation:
Initial point: (1, -2)
Final point: y = x
Blue light translation:
4 units right, 5 units downNumber of translations = nRed light translation:
1 unit left, 4 units upNumber of translations = 15Final point is going to be:
x = 1 + 4n - 15*1 = 4n - 14y = -2 - 5n + 15*4 = -5n + 58Since the coordinates of final point are same, we have:
4n - 14 = -5n + 584n + 5n = 58 + 149n = 72n = 72/9n = 8What would 2^-5 equal ?
Answer:
0.03125
Step-by-step explanation:
Step-by-step explanation:
2 times -5 would equal -10 because if you add 5, 2 times so 5+5 you would get 10, but because 5 is a negative, 10 is also negative.
Given f(x) = 6x^4, find f^-1(x). Then state whether f^-1 (x) is a function.
A. Y=+or-(x/6)^4; f^-1(x) is not a function
B. Y= +or- (x/6)^4 ; f^-1(x) is a function
C. Y= +or- (x/6)^1/4 ; f^-1(x) is a function
D. Y= +or- (x/6)^1/4 ; f^-1(x) is not a function
Answer:
D. Y= +or- (x/6)^1/4 ; f^-1(x) is not a function
Step-by-step explanation:
A function g is the inverse of function f if for y=f(x), x=g(y).
y = 6x^4
Replace x with y:
x = 6y^4
Solve for y:
+or- x^1/4 = 6y
+or- (x/6)^1/4 = y
For each x there are 2 values of y: negative and positive. So, it is not a function.
Use GCF to factor
40x+24y-56
Answer:
8(5x+3y-7)
Step-by-step explanation:
I just learned this like 2 months ago lolll
What is the value of the expression below when x=5?
Answer:
790
Step-by-step explanation:
You put 5 instead of x and you calculat
6*5^3 +8*5= 750+40=790
5. The weight of 1 bag of sugar is 12.5 kg. What is the weight of 15 such bags?
Answer:
187.5
Step-by-step explanation:
Answer:
187.5
Step-by-step explanation:
The reason is because I just did the math and I am pretty sure this is right please give me brain list
What is a reasonable amount of Miles on a used car that you are planning on purchasing
Answer:
1000 or more
Step-by-step explanation:
because the motor is is good shape
The table below shows the number of pages Stephen read by hour. If you were to graph the data it would be a proportional relationships. What is the slope of the data?
Number hours Stephen read Number of pages Stephen read
3 96
4 128
6 192
9 288
12 384
Answer:
32
Step-by-step explanation:
divide each number and you get 32 for all of them which gives you the slope i think
Please help meeeeeeeeee
Answer:
(7,3)
Step-by-step explanation:
You're welcome.
3.7+3.-1=
help I have a homework and I don't know the answer
Answer:
the solution is 5.7
3.7+3-16.7-15.7
Simplify the expression below. 2 (3x + 8)
Answer: 6x + 16
Step-by-step explanation:
2(3x+8)
Use distributive property and get:
6x + 16
Find 83 1/3 % of 384
Answer:
319.872
Step-by-step explanation:
319.872 / 384 = 83 1/3 / 100
Final Answer: [tex]320[/tex]
Steps/Reasons/Explanation:
Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].
Step 1: Convert mixed fraction into improper fraction.
[tex]\frac{250}{3}[/tex]
Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].
[tex]\frac{96000}{300}[/tex]
Step 3: Simplify
[tex]320[/tex]
~I hope I helped you :)~
3x-5y=22 y=-5x+32 what is the value of x
A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.
Answer:
3261.16
Step-by-step explanation:
r=8.6\%=0.086
r=8.6%=0.086
Move decimal over two places
P=1380
P=1380
Given as the pricipal
t=10
t=10
Given as the time
V=Pe^{rt}
V=Pe
rt
V=1380e^{0.086( 10)}
V=1380e
0.086(10)
Plug in
V=1380e^{0.86}
V=1380e
0.86
Multiply
V=3261.1618\approx 3261.16
V=3261.1618≈3261.16
which transformation is happening in the image below
Answer:
B.) Reflection over y=-3
Step-by-step explanation:
Please help me out !!!
Answer:
If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!
Step-by-step explanation:
4x+5 = 2x+19
2x=14
x=7
4(7)+5+2(7)+19 = 42+24 = 66
binomio al cubo
(x+2)3
Answer:
3x+6
Step-by-step explanation:
(x+2)3
3(x)+3(2)
3x+6
What is the value of | -5 | - (-5)?
The price to go to a show is usually $16.50, but if you go on Tuesday, you will only pay $9.90.
What percent of the original price is the discounted ticket price?
Carlos tosses a coin 3 times. What is the probability of a coin landing heads up all three times?
Answer:
1/8, or 12.5%.
Step-by-step explanation:
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
bc
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help
Answer:
B)
Step-by-step explanation:
Because it says that Alex wants to spend exactly $30 so you want to have 30 as the total ( = 30 )
and it says 18 plus, you only add 18 one time ( 18 + )
and then it says 0.12 per mile, so you need to do something times 0.12 + 18 and get exactly 30. so you do ( 0.12x ) in this case we're not solving it we're just doing the equation so it's just 0.12x instead of a specific number
Put it all together and you get 18 + 0.12x = 30
Hope this helps dude
Which of the three ordered pairs represent the
unit rate?
(1,4)
(3, 12)
(2,8)
Answer:
(1,4)
Step-by-step explanation:
That's the rate that each coordinate point goes up by as well as it's the first point in the table
What is
125% of
16?
please help me i’m not good at math at all.
Answer:
125% of 16 is 20
Step-by-step explanation:
Hope this helps!
A coffeemaker can brew at a rate of 1 cup every 0.8 minute. At this rate, how long would it take to brew 6 cups?
Answer:
.48
Step-by-step explanation: