Bryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he wanted to have four separate small gardens, each of them exactly the same size and shape. In other words, “congruent.” Remember, all four gardens must fit exactly within the shape of the property as shown below; you can’t change the dimensions of the property or move things around - you have to keep your design within the original shape. Bryce came up with an ingenious design that fit the client’s request exactly. Can you figure out what his design was?
.........................................
Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]
Calculating the sampling distribution of the sample mean:
[tex]\to \mu=\mu_\bar{x}=650[/tex]
Calculating the sampling distribution of the standard deviation:
[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]
Function Composition:
Let the function [tex]f(x)= 3+6x[/tex] , determine:
Answer:
Given
f(x) = 3 + 6xA
Find the inverse of f(x):
x = 3 + 6f⁻¹(x)6f⁻¹(x) = x - 3f⁻¹(x) = (x - 3) / 6B
f · f⁻¹( ∛5/6) = f( f⁻¹( ∛5/6)) = f((∛5/6 - 3)/6) = 3 + 6((∛5/6 - 3)/6) =3 + ∛5/6 - 3 =∛5/6C
f · f⁻¹(x) = f(f⁻¹(x)) = f((x - 3)/6) = 3 + 6(x - 3)/6 = 3 + x - 3 = xwhats 2+2 i dont know the answer .......................
Answer:
4
Step-by-step explanation:
Two cooies plus two cookies is four cookies.
hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
Answer:
Hi
Step-by-step explanation:
Thanks so much for the free p0ints! hereś a meme to make you laugh!
Please help me I really need to finish this
Answer:
9
Step-by-step explanation:
Helppp plzzzzzz!!!!!!
Answer: a
Step-by-step explanation:
Find the volume
Show work
Sir there seems to be a picture in your pixels.
i would assume the measurements (from left to right) is 34m 14m 20m and 14m
find the area of the triangle so split the 24 in half 12 and 12
then multiply 12*14 which is 168
i would assume the area is 168m^2
then multiply by 20m
3360m ^3
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99 7 rule to find the percentage of buyers who paid between $150,000 and $154,400, if the standard deviation is
52 200
A. 99.7%
B. 475%
C. 34%
D. 68%
Answer:
The answer is d
Step-by-step explanation:
Brainliest pls
Cooper invested $3,100 in an account paying an interest rate of 2%
compounded quarterly. Robert invested $3,100 in an account paying an
interest rate of 3 % compounded continuously.After 12 years, how much
more money would Robert have in his account than Cooper, to the nearest
dollar?
Answer:
Rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.
Step-by-step explanation:
Given that Cooper invested $ 3,100 in an account paying an interest rate of 2% compounded quarterly, while Robert invested $ 3,100 in an account paying an interest rate of 3% compounded continuously, to determine, after 12 years, how much more money would Robert have in his account than Cooper to the nearest dollar, the following calculation must be made:
Compound interest formula: Initial x (1 + interest / composition) ^ composition x years
Continuous compound interest formula: Initial x exp ^ (interest x years)
Cooper:
3,100 x (1 + 0.02 / 4) ^ 12x4 = X
3,100 x (1 + 0.005) ^ 48 = X
3,100 x 1,005 ^ 48 = X
3,100 x 1,270 = X
3,938.51 = X
Robert:
3,100 x 2.71828182845904 ^ (3x12) = X
4,443.32 = X
4,443.32 - 3,938.51 = X
504.51 = X
Therefore, rounded to the nearest dollar, Robert will have $ 505 more than Cooper on his account.
Answer:
$139
Step-by-step explanation:
Help me plss. ASAP, ty
Answer:
A) 16 / 9 B) 7/9
Step-by-step explanation:
what is a surface area of a juice box that is 4 inches high 3 inches long 2 inches wide
Answer:
24inch^3
Step-by-step explanation:
i hope this helps
At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets to this basketball game and 1 souvenir for
a total of $17.25. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs
for a total of $42.00. How much was a ticket to this game?
Answer:
the answer will be 7.50
Step-by-step explanation:
If f(x)=1−x^2 +x^3 , then f(−1)=
Answer:
f(-1) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1 - x² + x³
f(-1) is x = -1 for the function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -1Help me with this problem!!!!
Plz help will mark as brainleist
Answer: B
Step-by-step explanation:
First, simplify the main expression. The answer is 21.
Then simplify A. It is -106. That is not equal to 21 so A is wrong.
Then simplify B. That is 21. That means B is correct and you don’t have to solve C or D.
A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.
A sphere is inside of a cube. The cube has side lengths of 9 units.
Which expression represents the volume, in cubic units, of empty space in the cube?
Four-thirdsπ(4.53) – (4.5)3
(9)3 – Four-thirdsπ(4.52)
Four-thirdsπ(4.53) – (9)3
(9)3 – Four-thirdsπ(4.53)
Answer:
D
Step-by-step explanation:
The volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.
What is a sphere?It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
A sphere with a diameter of 9 units fits exactly in the clear glass cube.
Diameter = 9 units
The radius r = 9/2 units
The volume of the sphere:
[tex]\rm V = \dfrac{4}{3} \pi (9/2)^3[/tex]
[tex]\rm V = \dfrac{4}{3} \pi (4.5)^3[/tex]
The volume of cube = a³
a is the side length
The volume of the cube = (9)³
The volume, in cubic units, of empty space in the cube:
[tex]=(9)^3- \rm \dfrac{4}{3} \pi (4.5)^3[/tex]
Thus, the volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.
Learn more about the sphere here:
brainly.com/question/11374994
#SPJ6
The aiden middle school girls soccer team won 80 percent of its games this season. If the team won 12 games how many games did it play?
Answer:
15 games
Step-by-step explanation:
0.8 is 80% in a fraction form (80/100), g is the number of games played and 12 is the games won.
Help me and I’ll give you Brainliest and if u don’t know don’t answer
Answer:
2 in. × 25 in. [Choice 2]5 in. × 10 in. [Choice 4]1 in. × 50 in. [Choice 6]Scores for a common standardized college aptitude test are normally distributed with a mean of 496 and a standard deviation of 110. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 545.7. P(X > 545.7)
Answer:
0.3257
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 496 ; Standard deviation = 110
For :
P(x > 545.7)
We obtain the standardized, Z score
Z = (545.7 - 496) / 110
Z = 49.7 / 110
Z = 0.4518
Hence, using the Z distribution table :
P(Z > 0.4518) = 1 - P(Z < 0.4518)
P(Z > 0.4518) = 1 - 0.67429
P(Z > 0.4518) = 0.32571
please helpp me with this assignment
A manufacturer produces widgets that are packaged in boxes of 100. The probability of a widget being defective is 0.021. Find the mean and standard deviation for the number of defective widgets in a box.
Answer:
[tex]\=x=2.1[/tex]
[tex]\sigma=2.03[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size[tex]n=100[/tex]
Probability of a defective widget [tex]P=0.021[/tex]
Generally the equation for binomial trial is mathematically given by
[tex]q=1-p[/tex]
[tex]q=1-0.021[/tex]
[tex]q=0.979[/tex]
Since X is binomial random variable with functions of n and p,The equation of mean \=x
[tex]\=x=E(x)[/tex]
Where
[tex]E(x=n*p)[/tex]
[tex]\=x=100*0.021[/tex]
[tex]\=x=2.1[/tex]
Generally the equation for variance \sigma is mathematically given by
[tex]\sigma=\sqrt{nqp}[/tex]
[tex]\sigma=\sqrt{200*0.021*0.979}[/tex]
[tex]\sigma=2.03[/tex]
Math problem 16.
Find the value of x, y and z.
Answer:
sqrt. 244
Step-by-step explanation:
a^2 + b^2 =c^2
10^2 + 12^2 =244
c^2 =244
c= sqrt. 244
Answer:
if x+y equal 90
and z equal 2 sqrt 61
if you want the real values of the x and y iam not sure but you have to use ratios and proportions Formula for example 24k=90
k =15/4
y=10k
x=12k
like this hopefully its helpful
tanA+TanB=TanA+TanB÷1-TanA×TanB if A=30 andB=60
Answer:
[tex]\tan (30 + 60) = unde f ined[/tex]
Step-by-step explanation:
Given
[tex]\tan (A + B) = \frac{\tan A + \tan B}{1 - \tan A * \tan B}[/tex] ---- right expression
[tex]A = 30^o; B = 60^o[/tex]
Required
Solve
[tex]\tan (A + B) = \frac{\tan A + \tan B}{1 - \tan A * \tan B}[/tex]
Substitute: [tex]A = 30^o; B = 60^o[/tex]
[tex]\tan (30 + 60) = \frac{\tan 30 + \tan 60}{1 - \tan 30 * \tan 60}[/tex]
In radical forms, we have:
[tex]\tan (30 + 60) = \frac{\sqrt 3/3 + \sqrt 3}{1 - \sqrt 3/3 * \sqrt 3}[/tex]
[tex]\tan (30 + 60) = \frac{\sqrt 3/3 + \sqrt 3}{1 - 1}[/tex]
[tex]\tan (30 + 60) = \frac{\sqrt 3/3 + \sqrt 3}{0}[/tex]
[tex]\tan (30 + 60) = unde f ined[/tex]
ANSWER FAST
SHOW YOUR WORK
1. 9.5 + x = 14.2
Answer:
4.7
Step-by-step explanation:
14.2 - 9.5 = 4.7
hope that helps!
Dominic's car used 8 gallons to travel 192 miles. At what rate does the car use gas, in
miles per gallon?
Answer:
24 miles per gallon
Step-by-step explanation:
to find the unit rate you divide 192 by 8 and that is 24
so it takes Dominic 1 gallon to drive 24 miles
hope this helps!
Find the AREA.
help I need help fast I have 15 minutes
Answer:
78
Step-by-step explanation:
a= (a+b/2)(H)
9+17=26/2=13x6= 78
do bedmas
hope this helps
23) A recipe for cupcakes calls for 6 cups of
sugar. Shreya has already put in 3 cups.
How many more cups does she need to put
in?
Answer:
Shreya must put in 3 more cups of sugar.
Step-by-step explanation:
Given that a recipe for cupcakes calls for 6 cups of sugar, and Shreya has already put in 3 cups, to determine how many more cups does she need to put in to complete the amount required by the recipe, the following calculation must be performed:
6 - 3 = X
3 = X
Therefore, Shreya must put in 3 more cups of sugar.
HELPPP
If YV = 28 in, find the length of VYX.
Answer:
B) 68.91 inches
Step-by-step explanation:
To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.
We are also given that the diameter is 28 inches.
Since arc length and area are proportional to the central angle, we can create the following equality:
angle of VYX/360 = arc length of VYX/circumference
We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.
282/360 * 28*pi = arc length of VYX
Thus, the length of VYX = 68.90559887 inches
Thus, the correct answer is B, 68.91 in.
HELP PLS I NEED HELP
Answer:
is that a unit assesment?
Step-by-step explanation: