Answer:
Range = $115
Variance = $1915.2857
Standard deviation = $43.764
Step-by-step explanation:
Given the data:
234 160 119 131 218 207 146 141
Arranging in ascending order :
119, 131, 141, 146, 160, 207, 218, 234
The range = maximum - minimum
The range = 234 - 119 = 115
The variance :
Σ(x - mean)²/n-1
The mean = Σx / n
The mean = 1356 / 8 = 169.5
Variance :
Σ(x - mean)² = (119-169.5)² + (131-169.5)² + (141-169.5)² + (146-169.5)² + (160-169.5)² + (207-169.5)² + (218-169.5)² + (234-169.5)² = 13407
n - 1 = 8 - 1 = 7
Variance = 13407 / 7 = 1915.2857
Standard deviation = √variance
Standard deviation = √1915.2857
Standard deviation = $43.764
In a study of 792 randomly selected medical malpractice lawsuits, it was found that 508 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
Answer:
H0:p=0.5
H1:p>0.5
Sample proportion=492/792=0.6276
Test statistic:
z=(0.6276-0.5)/sqrt(0.5*(1-0.5)/784)
z=7.14
p-value=P(z>7.14)=0
Step-by-step explanation:
Please help me fast 50 points!!!!!!!
how do u graph s ≤ 60 - (3 ÷ 1/15)
Answer:
s≤15
Step-by-step explanation:
since its a ≤ you will need to fill in the circle..
What is the volume of the rectangular prism?
3 cm
8 cm
2 cm
cm3
Answer:
48 cm^3
Step-by-step explanation:
Since there is no image, I’m just going to assume that these three measurement are the length, width, and height of the rectangular prism:
The formula for the volume of a rectangular prism is length x width x height.
Use formula with given dimensions:
3 x 8 x 2 = 48
Volume is measured in cubic centimeters
(cm in this case)
Therefore, the volume of the rectangular prism is 48 cm^3
Hope this helps!
thomas is sketching the graph of a quadratic function. he is asking his friends about how many x-intercepts his function can have. here is the feedback from his friends.
Allison says the graph can have 1 x-intercepts
Richard says the graph can have no x-intercepts
Linda says the graph must have two x-intercepts
Hope says the graph can have, at most 1 x-intercepts
How many of Tom's friends are right and why?
A: 0
B: 1; Linda is right because a quadratic graph has exactly two x-intercepts
C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.
D: 4; They're all right because the graph can have varying number of x-intercepts
Answer:
C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.
Allison, Richard, and Hope are right because the graph can have 0, 1, or 2 x-intercepts.
The correct option is C.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Allison is correct because a quadratic function can have one x-intercept if its vertex is on the x-axis.
Richard is correct because a quadratic function can have no x-intercepts if its vertex is above the x-axis.
Linda is incorrect because a quadratic function can have two x-intercepts, but it is not required to have them. It is possible for the vertex of a quadratic function to be on the x-axis, in which case it would have one x-intercept.
Hope is correct because a quadratic function can have at most one x-intercept if its vertex is below the x-axis.
Therefore,
Two of Thomas's friends (Allison and Hope) are correct in their statements.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ3
Write the following series in sigma notation. 8+18+28+38
Answer:
[tex]\Sigma\left {n} \atop {1}} \right. (5n^2+3n)[/tex]
Step-by-step explanation:
Given the series 8 + 18 + 28 + 38
First, we need to find the sum of the nth term of the sequence as shown
Sn = n/2[2a+(n-1)d]
n is the number of terms
a is the first term = 8
d is the common difference = 18-8 = 28-18 = 10
Substitute
Sn = n/2 [2(8)+(n-1)*10]
Sn = n/2 [16+10n-10]
Sn = n/2[10n+6]
Sn = 2n/2(5n+3)
Sn = n(5n+3)
Sn = 5n²+3n
In Sigma form;
[tex]\Sigma\left {n} \atop {1}} \right. (5n^2+3n)[/tex]
At a local concert, the cost for 3 adults and 2 children was $32.00. The cost for 8 adults and 5 children
was $84.00. Find how much it costs for an individual adult and how much it costs for an individual
child.
Adult ticket price =
Child ticket price =
A sock drawer has 2 blue pair, 4 white pair, 4 black pair.
What is the probability you can pick out 1 blue , 1 white or 1 black?
You replace each pair after picking.
Answer: 20% chance of picking blue
40% chance of picking white
40% chance of picking black
Divide.
5,743 ÷ 9
Enter your answer by filling in the boxes.
R
Answer:
638.11
Step-by-step explanation:
Find the area of the figure shown
Answer:
Step-by-step explanation:
Plzzz answer I don’t have a lot of time
Answer:
p=35
Step-by-step explanation:
2p+5+3p =180 degree (being linear pair)
5p+5=180
5p=180-5
p=175/5
p=35
A linear pair is a pair of adjacent angles formed when two lines intersect.
Question 1 of 30
Find the area of the triangle below.
4 in.
8 in.
Answer:
16 square inches
Step-by-step explanation:
1/2*4*8
Suppose the purchase price of a dining room set is $950. If the sales tax is $47.50, what is the sales tax rate?
Answer:
5%
Step-by-step explanation:
this question is really asking what percent of 950 is 47.5?
is/of = %/100
47.5 is the 'is'
950 is the 'of'
'r' is the 'what percent'
47.5/950 = r/100
cross-multiply to get:
950r = 4750
r = 5
Answer:
5%
Step-by-step explanation:
Price x sales tax rate = sales tax
950 x sales tax rate =47.50
sales tax rate =47.50/950
sales tax rate = .05 or 5%
Somebody help I’m stuck :(
Answer:
I got x1 =0 x2=220
Step-by-step explanation:
y=- 00.1x (x-220)
-0.01x (x-220)=0
- 1/100 x(x-220)=0
x (x-220)=0
x=0
x-220=0
Answer x=0 and x=220
Write the formula for the area of a trapezoid
Answer:
Step-by-step explanation:
A=(a+b)/2 x h.
a_n=59-3(n-1), 1,2,3...
Find the first four terms of the sequence given by the following
9514 1404 393
Answer:
59, 56, 53, 50
Step-by-step explanation:
Use n = 1 through 4 and evaluate.
a1 = 59 -3(0) = 59
a2 = 59 -3(1) = 56
a3 = 59 -3(2) = 53
a4 = 59 -3(3) = 50
The first four terms are 59, 56, 53, 50.
Trigonometry please help
Answer:
7.5
Step-by-step explanation:
[tex]x = 10 \tan \: 37 \degree \\ \\ \therefore \: x = 7.535540501 \\ \\ \therefore \: x \approx 7.5[/tex]
Answer:
x = 7.5
Step-by-step explanation:
tan = opp/adj
tan 37 = x/10
multiply both sides by 10
10 * tan37 = x
x = 7.535540501027942
Rounded
x = 7.5
Pls help I’m not good at this
A=-2
B=-1
C=0
D=3
Answer:
d is the correct answer this qestion
Find the area under the standard normal curve between z=0.45 and z=1.13
Step-by-step explanation:
the answer is in the above image
If a1 = 8 and an
An-1 + 2 then find the value of a4.
9514 1404 393
Answer:
a4 = 14
Step-by-step explanation:
Use the recursive definition repeatedly.
a1 = 8
a2 = a1 +2 = 8 +2 = 10
a3 = 10 +2 = 12
a4 = 12 +2 = 14
_____
The recursive definition tells you the terms of the sequence have a common difference of 2. The explicit formula for a term of the sequence can be written as ...
an = 8 + 2(n-1)
Then a4 is ...
a4 = 8 +2(4 -1) = 8+6
a4 = 14
Convert the given base ten numeral into a numeral in base eight.
Answer:
714 i think??
Step-by-step explanation:
Can someone help me please
Answer:
A
Step-by-step explanation:
Answer: It has to be A
Step-by-step explanation: It's the only statement that makes sense.
Suppose the linear regression line V 4.009x - 77.531 predicts a pizza a
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and V represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 325 pizzas?
Answer:
$1225.39
Step-by-step explanation:
basic triangle proofs
please help
Answer:
Step-by-step explanation:
Hope this helps u !!!
Samuel made a list of his test scores: 88, 100, 92, 80, 85, 94, and 90. What is the lowest test score he can get on his next test to have mean score of 90?
Answer:
he needs to get a 91 to have a mean score of 90
Step-by-step explanation:
add up all the known scores to get 629
let 's' = lowest test score
(629 + s) ÷ 8 = 90 [we divide by 8 because there are 7 known and 1 unknown score)
cross-multiply to get:
629 + s = 720
s = 720-629
s = 91
Explain how to find the inverse of a Log Function. (Algebraically)
Answer:
Your welcome! :)
Step-by-step explanation:
To find the inverse of a function, we use the following steps:
1. Replace f(x) with y.
2. Interchange x and y.
3. Solve for y.
4. Replace y with f -1 (x).
In triangle ABC, the size of the B is 4 times the size of angle A, and the size of angle C is 14 cel less than 5 times the size of the.
The size of angle a is ____
The size of angle b is____
The size of angle c is________
Answer:
[tex]A = 19.4[/tex]
[tex]B = 77.6[/tex]
[tex]C =83[/tex]
Step-by-step explanation:
Given
By interpreting each line, we have:
[tex]B = 4A[/tex]
[tex]C = 5A -14[/tex]
Required
Solve for A, B and C
In a triangle,
[tex]A + B + C = 180[/tex]
Substitute expressions for B and C
[tex]A + 4A + 5A - 14 = 180[/tex]
[tex]A + 4A + 5A = 180+14[/tex]
[tex]10A = 194[/tex]
Solve for A
[tex]A = 194/10[/tex]
[tex]A = 19.4[/tex]
[tex]B = 4A[/tex]
[tex]B = 4 * 19.4[/tex]
[tex]B = 77.6[/tex]
[tex]C = 5A -14[/tex]
[tex]C =5 * 19.4 - 14[/tex]
[tex]C =83[/tex]
A machine depreciate in value at the rate of 10% every year on reducing balance. if the original cost is 20000 and the scrapped value is 13122, how long has the equipment been used?
Rhombus ABCD has a diagonal BD¯¯¯¯¯. m∠ADB=(5x+10)° m∠CDB=(4x+19)° What is the m∠ADC ? Enter your answer in the box º
30 POINTS PLEASE HELP ASAP
Answer:
110°
Step-by-step explanation:
5x+10=4x+19
5x-4x =19-10
x = 9
m L ADB = 5(9)+10=45+10=55°
so m L ADC = 2×55° = 110°
What is the value of the expression shown below?
Answer:
23 1/4
Step-by-step explanation:
3/6 ^ 2 = 1/4
7 * 4 = 28
28 + 1/4 = 113/4
113/4 - 5 = 93/4
93/4 = 23 1/4
