Answer:
2 + y = 11 y = 9
Step-by-step explanation:
Steps
2 + y = 11
subtract 2 from both sides
2 + y - 2 = 11 - 2
y = 9
A study was conducted to compare the mean numbers of police emergency calls per 8-hour shift in two districts of a large city. Samples of 100 8-hour shifts were randomly selected from the police records for each of the two regions, and the number of emergency calls was recorded for each shift. The sample statistics are listed here:
Sample size region 1: 100
Sample size region 2: 100
Sample mean region 1: 2.4
Sample mean region 2: 3.1
Sample variance region 1: 1.44
Sample variance region 2: 2.64
Find a 90% confidence interval for the difference in the mean numbers of police emergency calls per shift between the two districts of the city. Interpret the interval.
Answer:
Step-by-step explanation:
simplfiy 3(4)^2 plzzz
Answer:
48
Step-by-step explanation:
Find the 93rd term of the arithmetic sequence -11, -7, -3
Answer:
357
Step-by-step explanation:
hello :
note : the n th term of an arithmetic sequence is :
An =A1+(n-1)d ....a common difference is : d and A1 the first term
in this exercice : d = -3-(-7) =-7-(-11) = 4 A1 = -11
when : n =93 you have the 93rd term A93
so : A93 = -11 +(93-1)(4)
A93 = 357
The square of a number decreased by ten times the number is negative nine.
Answer:
answers are 1 and 9
Step-by-step explanation:
x² - 10x = -9
x² - 10x + 9 = 0
(x - 9)(x - 1) = 0
x = 9, x = 1
Answer:
Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.
Step-by-step explanation:
hope this helps
With a certain medical Insurance policy, the customer must first pay an annual $150 deductible, and then the policy covers 70% of the cost of x-rays. The first insurance claims for a specific year submitted by a person are for two
x-rays. The first x-ray cost $680, and the second x-ray cost $980 How much, in total wil he need to pay for these x-rays?
He will be responsible for?
Answer:
Between the deductible and the two x-rays, the customer will have to pay $648 in total for the two x-rays.
Step-by-step explanation:
Given that, with a certain medical insurance policy, the customer must first pay an annual $ 150 deductible, and then the policy covers 70% of the cost of x-rays, and the first x-ray cost $ 680, and the second x-ray cost $ 980, to determine how much in total you will need to pay for these x-rays, the following calculation must be performed:
150 + (0.3 x 680) + (0.3 x 980) = X
150 + 204 + 294 = X
648 = X
Thus, between the deductible and the two x-rays, the customer will have to pay $ 648 in total for the two x-rays.
a submarine was floating at a depth of 640m below the sea level. if it ascends 230 metres, what will be it's new position? express the position in terms of depth
Answer: It would be 410 meters below sea level.
→Pikachu I choose u←
somebody please help me out
I am stuck on these last four questions please help if possible.
-Solving equations with variables on both sides
Answer:
Step-by-step explanation:
9). -2.2(4 - 1.9x) = 3.3(0.2x - 0.8)
-8.8 + 2.2(1.9x) = 0.66x - 2.64
-8.8 + 4.18x = 0.66x - 2.64
4.18x - 0.66x = 8.8 - 2.64
3.52x = 6.16
x = 1.75
10). 3.2(1 + 2.6x) = 2.4(x - 3.6)
3.2 + 8.32x = 2.4x - 8.64
8.32x - 2.4x = -3.2 - 8.64
5.92x = -11.84
x = 2
11). 4.6(2x - 5.5) = 3.9 + 0.8(1 + 5.5x)
9.2x - 25.3 = 3.9 + 0.8 + 4.4x
9.2x - 25.3 = 4.7 + 4.4x
9.2x - 4.4x = 25.3 + 4.7
4.8x = 30
x = 6.25
12). 0.2(3x + 2.5) - 4.9 = 3.8 - 2.2(x - 5.5)
0.6x + 0.5 - 4.9 = 3.8 - 2.2x + 12.10
0.6x - 4.4 = -2.2x + 15.90
0.6x + 2.2x = 15.90 + 4.4
2.8x = 20.30
x = 7.25
2x^3-x^2+3
——————
X-3
Answer: (x2 - x - 1) • (2x + 1)
Step-by-step explanation:
((2x3 - x2) - 3x) - 1
STEP
2
:
Checking for a perfect cube
2.1 2x3-x2-3x-1 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: 2x3-x2-3x-1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -3x-1
Group 2: 2x3-x2
Pull out from each group separately :
Group 1: (3x+1) • (-1)
Group 2: (2x-1) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = 2x3-x2-3x-1
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 2 and the Trailing Constant is -1.
The factor(s) are:
of the Leading Coefficient : 1,2
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -1.00
-1 2 -0.50 0.00 2x+1
1 1 1.00 -3.00
1 2 0.50 -2.50
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
2x3-x2-3x-1
can be divided with 2x+1
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : 2x3-x2-3x-1
("Dividend")
By : 2x+1 ("Divisor")
dividend 2x3 - x2 - 3x - 1
- divisor * x2 2x3 + x2
remainder - 2x2 - 3x - 1
- divisor * -x1 - 2x2 - x
remainder - 2x - 1
- divisor * -x0 - 2x - 1
remainder 0
Quotient : x2-x-1 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x-1
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -1 .
-1 + 1 = 0
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
(x2 - x - 1) • (2x + 1)
Which of the following is NOT true of the confidence level of a confidence interval? Choose the correct answer below. A. The confidence level is also called the degree of confidence. B. There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample. C. The confidence level gives us the success rate of the procedure used to construct the confidence interval. D. The confidence level is often expressed as the probability or area 1-a, where a is the complement of the confidence level.
Answer:
There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample. ( B )
Step-by-step explanation:
Confidence level depicts the probability that the confidence interval actually contains the values of p ( true values of P ) hence
There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample Is a complete misinterpretation of the confidence interval therefore it is NOT true
would anoyone be willing to help
Sure, what do you need help with?
Which equation can be used to find the nth term of the sequence, an?
30, 26, 22, 18, 14, ...
A = an=4n+34
B = an=4n+30
C = an=30−4n
D = an=34−4n
Answer:
The answer is D i.e an=34-4n
Answer:
an=34−4n
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!!!!!!
Answer:
11,401 I think!!! if not please say
A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir
Pls help me on this question??
Answer and Step-by-step explanation:
The answer is A. 0.
This is because the greatest sum of numbers can only be up to 12. (6 + 6 = 12)
No numbers, when added together from the given 2 6-sided dices, will result in 15 as the answer.
#teamtrees #PAW (Plant And Water)
Ramadan Mubarak
Please answer this correctly!!!
Answer:
The answer would be D
Step-by-step explanation:
X = 3.9 *10^7 - 1.3 * 10^6
X= 3.7 * 10^7
ZA and B are supplementary angles. If m A = (7x +3) and m ZB = (7x +23)", then find the measure of ZA.
Answer:
Angle A measures 80º.
Step-by-step explanation:
Supplementary angles:
Two angles are called supplementary when their measures add to 180º.
In this question:
Angle A measures 7x + 3
Angle B measures 7x + 23
Since they are supplementary:
[tex]A + B = 180[/tex]
[tex]7x + 3 + 7x + 23 = 180[/tex]
[tex]14x + 26 = 180[/tex]
[tex]14x = 154[/tex]
[tex]x = \frac{154}{14}[/tex]
[tex]x = 11[/tex]
Measure of Angle A:
Since x = 11
7*11 + 3 = 77 + 3 = 80º
Angle A measures 80º.
PLEASE HELP ME!! ANSWER ASAP!! NO LINK FILE
Answer:
A = 66.7 in²
Step-by-step explanation:
The shaded sections of the trapezoid are right triangles.
Therefore the area of the shaded sections = the area of the two triangles
Area of a triangle = ½*bh
✔️Area of the first triangle with the following dimensions:
b = 8 in
h = 9.2 in
Area = ½*8*9.2 = 4*9.2 = 36.8 in²
✔️Area of the second triangle with the following dimensions:
b = 6.5 in
h = 9.2 in
Area = ½*6.5*9.2
= 29.9 in²
✔️Area of the shaded sections = 36.8 + 29.9 = 66.7 in²
HELP PLEASEE no links
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle
Answer:
B) equilateral triangle
E) acute triangle
Step-by-step explanation:
phil worked 5 days more than jill. together they worked 25 days. how many days did each work?
I need help with this
EOC Review
Sue hits a ball from a height of 4 feet. The height of the ball above the ground is a function of the
horizontal distance the ball travels until it comes to rest on the ground. Consider
this complete graph of
the function.
Trajectory of Ball
80
60
Height of Ball (ft)
40
20
0
20 60 100 140 180
Horizontal Distance
the Ball Travels
Select all values that are in the domain of the function as shown in the graph.
DDDDD
D-5 feet
O feet
60 feet
200 feet
220 feet
Answer:
0ft and 60ft
Step-by-step explanation:
Given
The attached function
Required
Determine the valid values of the domain of the function
To do this, we simply consider the starting point and the end point of the trajectory on the x-axis (i.e. the horizontal distance).
From the attached graph, the horizontal distance starts from 0 and ends at 180.
This implies that the domain is: [tex]0 \le x \le 180[/tex]
From the options, the values that fall in this bracket are 0ft and 60ft
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.
Answer:
The total number of ways the person holding ticket 47 wins one of the prizes = 941,094
Step-by-step explanation:
Given - One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).
To find - How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.
Proof -
The order of selection is important because 1st selection is grand prize , 2nd selection is second prize and so on . So , we use permutation for this question
Now,
As The person holding ticket 47 wins one of the prizes and other 3 prizes are also given to the remaining 99 persons who got chosen
So,
The number of ways = 1* ⁹⁹P₃
= [tex]\frac{99!}{(99-3)!}[/tex]
= [tex]\frac{99!}{96!}[/tex]
= [tex]\frac{99*98*97*96!}{96}[/tex]
= 99*98*97
= 941,094
∴ we get
Total number of ways the person holding ticket 47 wins one of the prizes = 941,094
The circumference of the base of a
5
-foot-high cylinder is
46
inches. What is the volume of the cylinder?
Answer:
V≈33238.05
Step-by-step explanation:
The circumference of the cylinder base is
= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.
That is ( 2 )(pi)( r ) = ( 44 )cm or
( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.
I have approximated ( pi ) as ( 3.14 ) for this calculation.
The area of the cylindrical base is ( pi )*( radius )^2
Therefore area of the base
= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.
Volume of Cylinder
Volume = Atea of the base multiplied by cylinder height or
= ( 154.1415 ) * ( 7 )
= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.
Lateral Surface Area
The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.
= ( 44 )*( 7 ) = ( 308 ) cm squared
Inherent Assumption
It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.
Find the value of x, then classify the quadrilateral
1) Find the value of x
2) Classfy the quadrilateral
Answer:
1) 49 degrees
2) It is a trapezoid
Step-by-step explanation:
1) the angles of a quadrilateral are 360 degrees, 78 + 102 + 132 + ? = 360
312 + ? = 360
? = 48
A bag contains 9 orange marbles and 36 green marbles. If a representative sample contains 2
orange marbles, then how many green marbles would you expect it to contain? Explain.
Because the ratio of orange marbles to green marbles is in the population, the expected number
of green marbles is times the number of orange marbles in the representative sample. There
should be green marbles.
Answer:
U can divide or multiply
Step-by-step explanation:
Is a rhombus a quadrilateral always?
Long Answer:
Yes, a rhombus is a quadrilateral with 4 equal sides. Every square has 4 equal length sides, so every square is a rhombus.
Short Answer:
Yes
Can anyone help me with my homework
Answer:
1) NO
2) YES
3) YES
4) YES
Step-by-step explanation:
A function is a relation that maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs).
The condition for a function is that each element in the domain can be mapped into only one element in the range.
(Or each input can be mapped into only one output).
Now let's apply this theory to the exercises here.
In all the cases we have relations, so we need to check if one (or more) of the inputs is mapped into more than one output.
Also remember that in the point notation (x, y) the first value is the input and the second is the output.
1)
Here we can see the points (-1, 5) and (-1, 2)
So the input -1 is mapped into two different outputs, 5 and 2.
This means that this is not a function.
2)
In this case, we can see that all the inputs are different (1, -2, 3, 5), so this is a function.
3)
Again, here we can see that each input is being mapped into only one output, then this is a function.
4)
In a graph, the horizontal position represents the input value and the vertical position represents the output value.
One way to tell if a graph belongs to a function or not, is to see if there is a vertical line such that more than one point intersects that line. If that happens, then we have two points with the same input value but different output value and the relation is not a function.
In this case, we can see that this does not happen, and then we can conclude that the graph represents a function.
plz give me ans fast.
Answer:
Shopping malls are replacing small shops
Explain whether 13t−3t is equivalent to 3t−13t. Support your answer by evaluating the expressions for t=2.
Answer:
Not equivalentStep-by-step explanation:
13t - 3t = (13 - 3)t = 10t3t - 13t = (3 - 13)t = -10t10t ≠ -10tThey are not equivalent
When t = 2
13t - 3t = 13*2 - 3*2 = 26 - 6 = 203t - 13t = 3*2 - 13*2 = 6 - 26 = -20Answer:
They are not Equivalent.
Step-by-step explanation:
You can tell that they aren't by doing that equations.
13t-3t=10t
3t-13t=-10t
If you were to inert 2 into t's , spot, it still would not work.
13(2)-3(2), 26-6=20
3(2)-13(2), 6-26=-20
