Complete Question
A few years ago, people tended to have relatively large CD collections. For students at a large university in the midwest, the mean number of CDs owned was 78 with a standard deviation of 90. To confirm these numbers, a random sample of 120 students from this university was collected and the size of their CD collections recorded. These particular 120 students had a mean CD collection size of 80 CDs. What is the numerical value of the sample mean?
Answer:
Sample Mean [tex]\=x=80[/tex]
Step-by-step explanation:
From the question we are told that:
Population Mean [tex]\mu=78[/tex]
Standard deviation [tex]\sigma=90[/tex]
Sample size [tex]n=120[/tex]
Sample Mean [tex]\=x=80[/tex]
Therefore
The numerical value of the sample mean is
Sample Mean [tex]\=x=80[/tex]
The function f(x)=0.21x + 13.8 can be used to predict diamond production. For this function, x is the number of years after 2000, and f(x) is the value in billions of dollars) of the year's diamond production. Use this function to predict diamond production in 2006. The diamond production in 2006 is predicted to be $billion. (Type an integer or a decimal.) Enter your answer in the answer box ?
Answer:
[tex]\boxed {\boxed {\sf \$15.06 \ billion }}[/tex]
Step-by-step explanation:
We are given the function f(x). This is the value of diamond production for the year in billions.
[tex]f(x)= 0.21x+13.8[/tex]
We want to find the value of the diamond production in 2006.
We know that x is the number of years after 2000. The year 2006 was 6 years after 2000 because 2006 - 2000 = 6. Therefore, x (years after 2000) is equal to 6. We can substitute 6 in for x.
[tex]f(6)= 0.21(6)+ 13.8[/tex]
Solve according to PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Multiply 0.21 and 6.
[tex]f(6)= 1.26+13.8[/tex]
Add 1.26 and 13.8
[tex]f(6)=15.06[/tex]
Remember the answer is in billions of dollars.
[tex]f(6)= \$ 15.06 \ billion[/tex]
Diamond production in 2006 is expected to be worth 15.06 billion dollars.
During a basketball practice, Steph Curry made 234 three point shots in 45 minutes,
In the same practice, his teammate Klay Thompson made 168 three point shots in 34 minutes.
1) Find the unit rates of both players of shots made per each minute
2) Which player was making more shots at a higher rate?
I needsdd helppppp pleaseeeee
Answer:
1) 5.2, and 4.94117647
2) Steph curry
Step-by-step explanation:
GET 95 POINTS Let f(x) = 1/x and g(x)=x² + 6x. What
two numbers are not in the domain of fᵒg?
Separate your answers with a comma.
Answer:
hey there hope this answer helps you out
Step-by-step explanation:
we have two functions f(x) and g(x) such that
[tex]f(x) = \frac{1}{x} [/tex]
and
[tex]g(x) = {x}^{2} + 6x[/tex]
solving for f ° g, we'll substitute the x in f(x) by the value of g(x)
[tex]fog = \frac{1}{g(x)} [/tex]
[tex]fog \: = \frac{1}{ {x}^{2} + 6x } [/tex]
taking x common in denominator
[tex]fog = \frac{1}{x(x + 6)} [/tex]
for a function to exist it should not have 0 in its denominator
checking the values of x for which the denominator of f ° g becomes 0 :-
x = 0 and x = -6so the function doesn't exist at values x = 0, -6
So, 0, -6 cannot be in the domain of f°gA marketing researcher wants to test the hypothesis that, within the population, there are differences in the importance attached to shopping by consumers living in the northern, southern, eastern and western United States. Which statistical test should be used
Answer: Analysis of variance
Step-by-step explanation:
Analysis of variance is the statistical test that's used in analyzing the differences among means. The analysis of variance is used to determine if a statistically significant differences exust between the means of the independent groups.
Based on the question given, the null hypothesis will be that no difference in the importance that's attached to shopping by the consumers living in different regions in the United States.
What is the surface area of this rectangular prism
Answer:
3*7 = 21*2=42
13*3=39*2=78
7*13=91*2=182
42+78+182=302
So the answer is D
Hope This Helps!!!
Answer:
D. 302
Step-by-step explanation:
This is how I did it:
First multiply 7 by 3, 21
Multiply that by 2 because there are 2 of those faces. 42.
Then multiply 3 by 13, and again by 2. 78.
And 13 by 7 by 2. 182.
Add. 302.
Or do an equation and use a calculator: 7(3)(2)+3(13)(2)+13(7)(2)=302
I need help pls!! 20 points I need it!!
Answer: About 6.71 units
Step-by-step explanation:
You use the distance formula: [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex].
Assign the the two points to the variables:
[tex](x_{1}, y_{1}) = (1, 3)\\(x_{2}, y_{2}) = (4, -3)[/tex]
Substitute them in the formula:
[tex]\sqrt{(4-1)^{2}+(-3-3)^{2}}[/tex]
And solve it:
[tex]\sqrt{(4-1)^{2}+(-3-3)^{2}}\\=\sqrt{(3)^{2}+(-6)^{2}}\\=\sqrt{9+36}\\=\sqrt{45}\\=6.71[/tex]
Answer:
I got the answer as 6.70 .here's how
Step-by-step explanation:
c= ( 1,3)
d=(4,-3)
Now , formula of distance
√(x2 - x1)^2 +(y2 - y1)^2
or, √(4-1)^2+(-3-3)^2
or, √(3)^2+(-6)^2
or,√9+36
or√45
√45 = 6.70 units approx
If p and q are whole numbers such that p×q=37, find the value of p+q
Answer:
6x6
Step-by-step explanation:
Scott invested a total of $5400 at two separate banks. One bank pays simple interest of 12% per year while the other pays simple interest at a rate of 8% per year. If Scott earned $552.00 in interest during a single year, how much did he have on deposit in each bank?
Answer:
Scott invested $ 3,000 at 12% annually, and $ 2,400 at 8% annually.
Step-by-step explanation:
Since Scott invested a total of $ 5400 at two separate banks, and one bank pays simple interest of 12% per year while the other pays simple interest at a rate of 8% per year, if Scott earned $ 552.00 in interest during a single year, to determine how much did he deposit in each bank, the following calculation must be performed:
5400 x 0.12 + 0 x 0.08 = 648
4400 x 0.12 + 1000 x 0.08 = 608
3000 x 0.12 + 2400 x 0.08 = 552
Therefore, Scott invested $ 3,000 at 12% annually, and $ 2,400 at 8% annually.
Write an algebraic expression for the
following
I start with x, add 4, square the answer
and then multiply it by 3
Answer
(x+4)^2x3
Step-by-step explanation:
so x add 4 is obviously x add 4 but since you want to square it you have to put x add 4 in brackets like this
(x+4)
you put the square symbol next to the brackets because you only want to square whats inside the brackets
(x+4)^2
and then you put times 3 so you can multiply everything by it so now its
(x+4)^2x3
Here are two steps from the derivation of the quadratic formula.
What took place between the first step and the second step?
Answer:
Factoring a perfect square trinomial.
Step-by-step explanation:
The left side was able to be simplified via factoring.
How many cups of flour are required to make 9 dozen cookies? ( write your answer as a mixed number) Demonstrate your method of choice
Answer:
45/16
Step-by-step explanation:
[tex]1 \frac{1}{4} = 4[/tex]
[tex]x = 9 [/tex]
[tex]x = 1 \frac{1}{4} \times 9 \div 4[/tex]
[tex]x = \frac{5}{4} \times 9 \div 4[/tex]
[tex]x = \frac{45}{16} [/tex]
What is the y-intercept of the graph of y = 2.5x? a. 2.5 c. 0 b. 1 d. -1
Answer:
answer is C
Step-by-step explanation:
General equation of a line is expressed as shown:
y = mx+c where;
m is the slope or gradient of the line
c is the intercept of the line
Given the equation of the line graph as y =2.5x
Comparing the given equation with the general equation, it is seen that m = 2.5 and c = 0 (since there is no value for the intercept)
Based on the explanation, the y-intercept of the graph is therefore 0
Answer:
B
Step-by-step explanation:
To find the x-intercept, substitute in
0 for y and solve for x
To find the y-intercept, substitute in 0 for x and solve for y
x-intercept(s): None
y-intercept(s): (0,1)
What is the answer
5 10 25 100 × ÷ ÷
Answer: 1/50, or 0.02
Step-by-step explanation:
I'm assuming this is 5*10/25/100. if you just follow the equation, you get 50/25/100, which is 2/100, or 1/50.
Q.No.4. Ali is hiking on the hill, whose height is given by f(u,v)=n^2 e^((u+n)/(v+n)). Currently, he is positioned at point (3,5). Find the direction at which he moves down the hills quickly. (5 points) Where n is the product of first and second digit of your arid number e.g. 19-arid-435 take n=4x3=12
Answer:
///////
Step-by-step explanation:
Leora wants to paint the nursery in her house. The nursery is an 8–by–10–foot rectangle, and the ceiling is 10 feet tall. There is a 3–by–6.5–foot door on one wall, a 3–by–6.5–foot closet door on another wall, and one 2–by–3.5–foot window on the third wall. The fourth wall has no doors or windows. If she will only paint the four walls, and not the ceiling or doors, how many square feet will she need to paint?
Answer:
The correct answer is - 242 ft^2
Step-by-step explanation:
Given:
one door : 3*6.5 => 19.5 ft^2
other door: 3*6.5 => 19.5 ft^2
a window: 2*3.5 => 7 ft^2
total = 46 ft^2
area of all four walls: 2h (l+b)
= 2(8) (10+8)
= 16 (18)
= 288 ft^2
paint required excluding doors and window:
=> area of your wall - (area of doors and window)
=> 288 - 46
= 242 ft^2
The perimeter of a rectangular swimming pool is 56 meters. The width is 4 meters less than the length. What is the width of the swimming pool?
Answer:
52mtrs
Step-by-step explanation:
if length is 56meeters and the width is 4meeters less then 56 -4 = 52 so width is 52mtrs
870,640 rounded to the nearest ten thousand
Answer: 870,000
Step-by-step explanation: First find the digit in the rounding place
which in this case is the 7 in the ten thousands place.
Next, we look at the digit to the right of the 7, which is 0.
According to the rules of rounding, if the digit to the right
of the rounding place is less than 5, we round down.
So the 7 in the rounding place stays the same
and all digits to the right of the become 0.
So 870,640 rounded to the nearest ten thousand is 870,000.
The diagram shows the right-angled triangle. (a) Calculate the area.
(b) Calculate the perimeter
Step-by-step explanation:
no diagram visible. there is nothing to calculate.
Answer:
No diagram
Step-by-step explanation:
For area of right angled triangle 1/2 × base× height
Perimeter plus three sides of the triangle
how do you write in numerals
Answer:
Basic numbersNumbers up to nine should always be written in words, anything higher than nine can be written in numerals. Alternatively, some guides suggest that if you can write the number in two words or fewer then use words rather than number.hope it's helpful for u !! stay safe ...Step-by-step explanation:
1 : a conventional symbol that represents a number. 2 numerals plural : numbers that designate by year a school or college class and that are awarded for distinction in an extracurricular activity. Other Words from numeral Synonyms Example Sentences Learn More About numeral.A numeral is a symbol or name that stands for a number. Examples: 3, 49 and twelve are all numerals. So the number is an idea, the numeral is how we write it.hope it helps.stay safe healthy and happy...simplify 3xy + x 2 - 4xy + 2xupper2y
What is the solution to
this system of linear
equations?
3
2
1
-4-3-2-1,0 1 2 3 4
Aώ Ν.
A
(1, -3)
B
(-3, 1)
The function f(x) is shown below.
х
-6
-3
f(x)
1
2
5
3
Coon
0
If g(x) is the inverse of f(x), what is the value of f(g(2))?
-6
оооо
5
Answer:
[tex]f(g(2)) = 2[/tex]
Step-by-step explanation:
Given
[tex]x \to f(x)[/tex]
[tex]-6 \to 1[/tex]
[tex]-3 \to 2[/tex]
[tex]g(x) = f^{-1}(x)[/tex] --- inverse
Required
[tex]f(g(2))[/tex]
For two functions f(x) and g(x) where f(x) and g(x)are inverse;
[tex]f(g(x)) = x[/tex]
So, by comparison:
[tex]f(g(2)) = 2[/tex]
the diagram shows a regular dodecagon. a) work out the size of one interior angle. b) work out the size of one exterior angle.
Answer: Interior angle: 150 degrees Exterior angle: 30 degrees
Step-by-step explanation:
We use the angle formula to find the value of an interior angle: 180*(12-2)/12 = 150 degrees. Since an exterior angle is the supplement of an interior angle, the measure of an exterior angle is 180 - 150 = 30 degrees
Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 15.25 hours with a standard deviation of 2.2 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed.
Required:
a. Find the probability that with heavy use, the battery life exceeds 11 hours.
b. You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone?
Answer:
a) The probability that with heavy use, the battery life exceeds 11 hours is 0.4602.
b) Using the standard normal table, After 6.8 hours should you plan to recharge your phone.
Step-by-step explanation:
a) The probability that with heavy use, the battery life exceeds 11 hours:-
P(x > 11) = 1 - p( x< 11)
[tex]=1- p P[(x - \mu) / \sigma < (11 - 10.75) / 2.4]\\\\=1- P(z < 0.10)[/tex]
Using z table distribution,
= 1 - 0.5398
= 0.4602
b) Using the standard normal table,
[tex]P(Z < z) = 5%\\\\\\\\= P(Z < -1.645 ) = 0.05 \\z = -1.645[/tex]
Using the z-score formula,
[tex]x = z \times \sigma + \mu\\x = -1.645 * 2.4 + 10.75\\x = 6.8 hours.[/tex]
Which choice correctly shows the line y =
2x+3?
А
B
HN
N
1-3 -2 -1 1 2 3 4
-1
NH
-4 -3 -2 -1
1 2 3 4
D
c
2
1
1-3-2-1
1
2 3 4
-4 -3 -2
1 2 3
-1
-2
I will mark you brainliest if you provide evidence you know what your doing
Work out the problem and make the answer clear
Option C
SOLUTION:
We need to find the value of B - CF
First find the value CF:
[tex]CF=\left[\begin{array}{ccc}12&0&1.5\\1&-6&7\\\end{array}\right] \left[\begin{array}{ccc}-2&0\\0&8\\2&1\end{array}\right][/tex]
[tex]CF=\left[\begin{array}{ccc}12(-2)+0 *0+1.5*2&12*0+0.8+1.5*1\\1*(-2)+(-6)*0+7.2&1*0+(-6)*8+7.1\\\end{array}\right][/tex]
[tex]CF=\left[\begin{array}{ccc}-21&1.5\\12&-41\\\end{array}\right][/tex]
Now find value of B - CF:
[tex]B-CF=\left[\begin{array}{ccc}2&8\\6&3\\\end{array}\right] -\left[\begin{array}{ccc}-21&1.5\\12&-41\\\end{array}\right][/tex]
[tex]B-CF=\left[\begin{array}{ccc}23&6.5\\-6&44\\\end{array}\right][/tex]
∴ the value of B - CF is [tex]\left[\begin{array}{ccc}23&6.5\\-6&44\\\end{array}\right][/tex]
I hope this helps....
What are the solutions to the system of equations graphed below?
Answer:
D
Step-by-step explanation:
solution is the points where the two graphs intersect.
they intersect at (-3,-3) and (0,6)
can someone help me solve this?
Answer:
[tex]\sqrt{x} -\frac{16}{\sqrt{x} }[/tex]
Step-by-step explanation:
Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The rate of change is 3 and the y-intercept is 4. How much more is the rate of change of function A than the rate of change of function B?
2
3
6
9
Answer:
[tex]{ \tt{rate \: of \: change \: in \: A = 9}}[/tex]
Rate of change in function A is two times than that in function B
ABC ∆ where Angle A =90° , AB = 12 m, AC = 9 m . Find BC ?
( Show all your workings )
best answer will marked as brainalist
dont put fake ones
Answer:
15m
Step-by-step explanation:
Use Pythagoras
Folow the steps in the image
Answer:
:] brainlist me friends
