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
basic triangle proofs
please help
Answer:
Step-by-step explanation:
Hope this helps u !!!
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]
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
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:
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..
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]
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
Divide.
5,743 ÷ 9
Enter your answer by filling in the boxes.
R
Answer:
638.11
Step-by-step explanation:
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.
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
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:
Find the area of the figure shown
Answer:
Step-by-step explanation:
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 =
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.
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
Please help me fast 50 points!!!!!!!
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
Pls help I’m not good at this
A=-2
B=-1
C=0
D=3
Answer:
d is the correct answer this qestion
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
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
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
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!
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
Convert the given base ten numeral into a numeral in base eight.
Answer:
714 i think??
Step-by-step explanation:
Write the formula for the area of a trapezoid
Answer:
Step-by-step explanation:
A=(a+b)/2 x h.
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%
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.
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?
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).
