Answer:
a) The z-score for a backyard structure costing $2300 is -0.57.
b) The z-score for a backyard structure costing $4900 is 1.29
c) A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d) Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.
Step-by-step explanation:
Z-score:
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.
If the z-score is more than two standard deviations from the mean(lesser than -2 or more than 2), the score X is considered an outlier.
In this question, we have that:
[tex]\mu = 3100, \sigma = 1400[/tex]
a. What is the z-score for a backyard structure costing $2300?
We have to find Z when [tex]X = 2300[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2300 - 3100}{1400}[/tex]
[tex]Z = -0.57[/tex]
The z-score for a backyard structure costing $2300 is -0.57.
b. What is the z-score for a backyard structure costing $4900?
We have to find Z when [tex]X = 2300[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4900 - 3100}{1400}[/tex]
[tex]Z = 1.29[/tex]
The z-score for a backyard structure costing $4900 is 1.29
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier?
We have to find the z-score when X = 13000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13000 - 3100}{1400}[/tex]
[tex]Z = 7.07[/tex]
Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.
On a trip, you had to change your money from dollars to British pounds.
You got 560 pounds for 800 dollars.
Which is a unit rate that describes the exchange?
135 pounds per dollar
0.625 pounds per dollar
137 pounds per dollar
0.7 pound per dollar
Answer:
0.7 pound per dollar
Step-by-step explanation:
To find the pounds per dollar, divide the number of pounds by the number of dollars:
560/800
= 0.7
So, the unit rate is 0.7 pounds per dollar
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1246 with a standard deviation of 42 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following:
a. a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between _______and _____ A.D.
b. a range of years centered about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
Answer:
(1204 ; 1288) ;
(1162 ; 1330) ;
(1120 ; 1372)
Step-by-step explanation:
Given that:
Mean, m = 1246 years
Standard deviation, s = 42 years
68% is within one standard deviation the mean ;
Therefore 68% equals ;
mean ± 1(standard deviation)
(1246 - 1(42)) ; (1246 + 1(42))
1204 ; 1288
B) b. a range of years centered 95% about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
95% is within two standard deviation of the mean ;
Therefore 95% equals ;
mean ± 2(standard deviation)
(1246 - 2(42)) ; (1246 + 2(42)
(1246 - 84) ; (1246 + 84)
(1162 ; 1330)
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
About 99.7% which is within 3 standard deviations of the mean
99.7% is within 3 standard deviations of the mean ;
Therefore ;
mean ± 3(standard deviation)
(1246 - 3(42)) ; (1246 + 3(42))
(1120 ; 1372)
What is the amount of tax on a pair of shoes that cost $75.00, if the tax rate is 9%
Answer: The tax would be $6.75.
5 time 6 is 30 but what is 5 time 123456789
Answer:
617283945?
Step-by-step explanation:
Answer:
617283945
Step-by-step explanation:
Simple: Use a Calculator
Then: Add an Answer
Calculator
What is the value of x?
10
Enter your answer in the box
6
Answer:
x = 8
Step-by-step explanation:
hchkcckxkgkzkupvouuocouc
USING PYTHAGORAS THEOREM
h²=p²+b²
10²=x²+6²
10²-6²=x²
100-36=x²
x= \sqrt{64}
x=8
So x=8
Which expression is equivalent to 4.005−3.12?
Answer:
0.885
Step-by-step explanation:
Please helppppp.........
Answer:
x = 6.1
Step-by-step explanation:
Reference angle = 29°
Hypotenuse = 7
Adjacent side = x
Applying trigonometric ration, we would have:
Cos 29 = x/7
Multiply both sides by 7
7*cos 29 = x
6.12233795 = x
x = 6.1 (nearest tenth)
here’s the other one
Answer:
it is A
Step-by-step explanation:
Mya bought 8 slices of bread for $2.40 at her local grocery store. How much would a
package with 12 slices cost at the price per slice?
Work Space
Answer:
Cost of package with 12 slices = $3.60
Step-by-step explanation:
Given that:
Cost of 8 slices of bread = $2.40
Unit rate per slice = [tex]\frac{2.40}{8}[/tex]
Unit rate per slice = $0.30 per slice
Cost of package with 12 slices = 12 * 0.30
Cost of package with 12 slices = $3.60
Hence,
Cost of package with 12 slices = $3.60
Determine the perimeter and area plzzzz help
Answer:
The perimeter is 220 , the area should be 100 ,
Step-by-step explanation:The perimeter of the square is 40 because it’s all sides added together & they are all even - The perimeter of a circle is always 360 and this is half of a circle so that is a perimeter of 180; you add that to 40=220. The area is two sides multiplied together=100 for the square. You find the area of the half circle by doing the area of a circle divided by 2.
5 2/3+m=9 3/4 evaluate
Answer:
m=4[tex]\frac{1}{12\\}[/tex]
Step-by-step explanation:
Basic math
Pretty easy
Have a wonderful day
Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.
How much more does Ivan get?
Which fraction and decimal forms match the long division problem? 15) 8.000 75. 50 45, 50 45 5 O A. 8 and 0.53 15 O B. 8 15 and 0.53 O C. 15 8 and 0.53 O D. 15 8 and 0.533
Answer: The answer is A
Step-by-step explanation:
Please help me with my homework!!
(btw i choosed A randomly but it doesn't mean it's correct bc it's green it turns green for all all them so don't be confused about that)
Answer: B
Step-by-step explanation:
12 1/3
please help and u get a cookie
What is the answer please explain?
A rock is thrown upwards from the edge of a 52foot cliff and eventually falls to the ground. The graph below shows the height ,y, of the rock from the ground after x seconds.
For which interval is the rocks height always increasing ?
The interval for which the rock's height always increasing will be 0 < x < 3. Then the correct option is A.
The complete question is attached below.
What is a function?A statement, principle, or policy that creates the linkage between two variables is known as a function.
A rock is thrown upwards from the edge of a 52 feet cliff and eventually falls to the ground.
The graph below shows the height (y), of the rock from the ground after (x) seconds.
The graph of the function is given below.
Then the interval for which the rock's height always increasing will be 0 < x < 3.
Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
If someone can help me with these two points I would really appreciate it.
Answer:
1. nonlinear
2. linear
Step-by-step explanation:
which ratio is equivalent to 4:5
10/15
4/10
16/20
15/8
Answer:
16/20
Step-by-step explanation:
16/20 = (4*4)/(4*5) = 4/4*4/5 = 4/5
Identify the parts of the expression 4.2m + (8 divided 2) - 6 what is the term of expression
Answer:
I think the answer is 4.00
The parts of the given expression are constant term is -2 and the other term is 4.2m.
The given expression is 4.2m+(8 divided 2)-6.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
4.2m+(8 divided 2)-6
= 4.2m+8/2 -6
= 4.2m+4-6
= 4.2m-2
Here, the constant term =-2 and the other term is 4.2m
Therefore, the parts of the given expression are constant term is -2 and the other term is 4.2m.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
Add and Subtract mixed numbers. Find the sum or difference in simplest form. 31/2 - 1 1/2
Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:
The answers will consist of algebraic expressions containing the parameter k.
What positive value of k will result in exactly one real root?
K = ?
Answer:
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:
[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)
Roots are determined analytically by the Quadratic Formula:
[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]
[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]
The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].
[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:
[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]
[tex]k \approx \pm 0.028[/tex]
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch.
While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
The reasonable range is limited to y ≥ 0.
The reasonable range is limited to y ≥ 0.6.
The reasonable range is limited to 0 ≤ y ≤ 5.5.
The reasonable range is limited to 0.6 ≤ y ≤ 5.5.
Answer: The answer is D
Step-by-step explanation: got it form edge
Answer:
its the 3rd option actually The reasonable range is limited to 0 ≤ y ≤ 5.5.
Step-by-step explanation:
edge
Which of the following statements are true of the graph of the function f(x)= (x+5)(x-3).
1.) The graph has a relative minimum
2.)The graph has a relative maximum
3.)The graph has an x-intercept at (5,0)
4.)The graph has an x-intercept at (3,0)
5.)The graph has a y-intercept at (0,-15)
6.) The axis of symmetry is x=-2
Answer:
4 is the correct answer
Step-by-step explanation:
y=(x+5)(x-3)
so x intercept means the value of x when y is zero
0=(x+5)(x-3)
x+5=0 so x=-5
x-3=0 so x=3
In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15
Convert the following angle from degrees, minutes and seconds into decimal degrees.
Round to the nearest hundredth Do NOT include the degree symbol only write the
final number.
78°33'51"
y = 15x + 15 How do I interpret the slope and y-intercept?
Answer:
Look at explanation.
Step-by-step explanation:
The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.
pls help u dont have to explain that much
Answer:
k = -7
Step-by-step explanation:
Given
x² - x - 42 = (x + k)(x + 6)
Required
Find k
x² - x - 42 = (x + k)(x + 6)
Expand the left hand side
x²-7x + 6x - 42 = (x + k)(x+ 6)
Factorize
x(x - 7) + 6(x- 7) = (x + k)(x+ 6)
Further factorize
(x - 7)(x + 6) = (x + k)(x + 6)
By comparison
x + k = x - 7
Subtract x from both sides
k = -7
what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?
A. 30 calories
B. 202 calories
C. 270 calories
D. 360 calories
Answer: C
Step-by-step explanation:
carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of gravel did carlos put into each fish tank
Answer:
(1/8) / 6 =
1/8 * 1/6 =
1/48 of a lb per fish tank <==
plz give brainlest
Step-by-step explanation: