Answer $17.22 was spent on a pass and $8.94 on lunch for each student and that implies a total of $26.16 was spent on each student
Step-by-step explanation:
he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).
Answer:
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
Step-by-step explanation:
Step(i):-
Given that National Center for Health Statistics interviewed 5409 adult smokers in 2015
Sample size 'n' = 5409
Given that 2666 of them said they had tried to quit smoking during the past year.
proportion
[tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]
Q = 1 - P = 1 - 0.49288 = 0.50712
Step(ii):-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]
[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]
(0.49288 - 0.01332 , 0.49288+0.01332)
(0.47956 , 0.50620 )
Final answer:-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
Car A travels 18 miles every 20 minutes. Car B travels 13 miles every 12 minutes. Which statement best compares how far the two cars can travel in an hour?
Answer:
The answer is C) car b travels 11 more miles than car a in one hour
Step-by-step explanation:
Car A: 18/20(60)=54 mph
Car B: 13/12(60) = 65 mph
So car b travels 11 more miles than car a in one hour
Ms. Nelson wants to buy a stair runner carpet to make it easier for her dog, Max, to go up and down the stairs. There are 15 stairs in Ms. Nelson's staircase, and each stair needs 60 centimeters of carpet. How many meters long will Ms. Nelson's stair runner be?
Find total centimeters by multiply total steps by centimeters per step:
15 x 60 = 900 centimeters total needed.
Convert centimeters to meters by dividing total centimeters by 100:
900/100 = 9
He will need 9 meters
Answer:
Ms nelson need 900 centimeters of carpet
Step-by-step explanation:
15 times 60 cm = 900cm
Find
Sin 2 (30degrees)
Answer:
Sin 2 (30)°= [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Explanation:-
Given that Sin 2 (30)°
we know that the formula sin2θ = 2sinθ cosθ
Given that θ = 30°
Now
sin2(30)° = 2sin30° cos30°
[tex]= 2 ( \frac{1}{2} X \frac{\sqrt{3} }{2} )[/tex]
After cancellation, we get
Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]
Final answer:-
Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]
can u plz help me ok i need help
Answer:
the answer is 47 sprinklers
Step-by-step explanation:
so the system is 188 and there is one sprinkler every 4 feet
so 188/4 which would give u 47
If an x-coordinate repeats, can a relation still be a function?
I need help right now
Answer:
No
Step-by-step explanation:
if you see any duplicates or repetitions in the x-values, the relation is not a function.
Find the answer
5/8 + (2/3 - 1/4) =
Answer:
25/24
Step-by-step explanation:
simplify: 2/3-1/4 to 5/12
5/8+5/12
=25/24
What is the measure of RST? S O A. 158° 07 O B. 790 G. 689 R D. 2020 158°
Find the dimensions and maximum area of a rectangle if the perimeter is 52
Answer: l
=
16
,
b
=
10
Explanation:
Step-by-step explanation:
Perimeter of rectangle is
p
=
2
(
l
+
b
)
=
52
,
l
is length and
b
is breadth.
Area of rectangle is
A
=
l
⋅
b
=
160
∴
l
=
160
b
;
∴
2
(
160
b
+
b
)
=
52
or
(
160
b
+
b
)
=
26
or
160
+
b
2
b
=
26
or
160
+
b
2
=
26
b
or
b
2
−
26
b
+
160
=
0
or
b
2
−
16
b
−
10
b
+
160
=
0
or
b
(
b
−
16
)
−
10
(
b
−
16
)
=
0
or
(
b
−
16
)
(
b
−
10
)
=
0
∴
b
=
16
or
b
=
10
If
b
=
16
;
l
=
160
16
=
10
and if
b
=
10
;
l
=
160
10
=
16
The dimension of rectangle is
l
=
16
,
b
=
10
[Ans]
5. a) Which figure is the mapping diagram of the relation
shown?
b) is the relation a function
Please help
Answer:
b, since the others have the input and output on the wrong sides
$102 headphones, 7.5% tax
Answer:
You are correct the tax would be that
Step-by-step explanation:
Which expression has a greater value, 3/8 x 5:6 or 3/8 divided by 5/6? Explain
Answer:
3/8 divided by 5/6
Step-by-step explanation:
To divide a fraction by a fraction, you multiply the first fraction by the reciprocal (aka the fraction flipped upside down, in this case the reciprocal of 5/6 is 6/5). Since 6/5 is greater than 5/6, 3/8 divided by 5/6 is greater than 3/8 times 5/6.
Answer:
[tex]\frac{3}{8}[/tex] ÷ [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{15}{64}[/tex] is 0.234375
[tex]\frac{9}{20}[/tex] is 0.45
0.234375 < 0.45
give me brainllest
Which function is decreasing on the same interval as the function graphed here?
The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.
What does it mean for a function to be decreasing?
When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.
That is when x1 < x2 then f(x1) ≥ f(x2)
What is the Proof of the above?Let F(x) = 4
Thus
f(4) = -(4)² + 4(4) -4
= 16 + 16 - 4
= 28
Now, let F(x) = 2
Thus
f(2) = -(2)² + 4(2) -4
= 4 + 8 - 4
= 8
Note that X1 = 4 and X2 = 2
Thus x1 < x2 then f(x1) ≥ f(x2).
Hence Option C is the decreasing function.
Learn more about decreasing functions at;
https://brainly.com/question/13157110
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We need 14 feet of casing to put along all four sides of a rectangular window. If the length of the window is 4 feet , find the width .
A set of data already has the values 11, 14, 23, and 16. What value would have to be added to the set for the mean of the
five numbers to be 18?
08
12
18
26
How to find surface area of a composite figure
Step-by-step explanation:
To calculate the surface area of a 3D composite object, find the outside surface area of each object and then add the surface areas together. It could also be broken into one on top and one on the bottom. Determine the surface area of the outside faces of the right prism.
Jamil's car uses , gallons of gasoline to travel 49 miles. At this rate how far can
Jamil's car travel per gallon of gasoline?
A 53
miles
230 miles
12 miles
D 10.5 miles
Answer:
D) 10.5
Step-by-step explanation:
4 2/3 = 14/3
Ratios:
[tex]\frac{14/3}{49} =\frac{1}{x } \\\\\frac{14}{3} x=49\\\\14x=147\\x=10.5[/tex]
If a quadrilateral has these known angle degrees: 35, 35 and 145, what are the degrees of the fourth angle?
Answer:
145
Step-by-step explanation:
The total sum of all the angles is 360 degrees. If we add up 35, 35, and 145 we get 215. 360-215=145.
The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there
In simplest form.
more than one pair, use the "or" button. Give the answer
In simplest form
Answer:
11 and -4
Step-by-step explanation:
Let the required two numbers be x and y
If the sum of two numbers is 7, then
x + y = 7 .. 1
If the difference of their squares is 105, then;
x² - y² = 105 ...2
From 1;
x = 7 - y... 3
Substitute 3 into 2;
(7-y)² - y² = 105
Expand
49-14y+y² -y² = 105
49-14y = 105
-14y = 105 - 49
-14y = 56
y = -56/14
y = -4
Substitute y = -4 into 3
x = 7 - y... 3
x = 7 - (-4)
x = 7+4
x = 11
Hence the numbers are 11 and -4
GIVING OUT BRAINLIEST ANSWER !! HELP ME OUT PLEASEEEEE
Answer:
5.66
Step-by-step explanation:
This is a 45 – 45 – 90 triangle. What this means is that the two legs are both congruent and the hypotenuse is the length of the legs times [tex]\sqrt{2}[/tex].
So in order to find this, we have to divide 8 by the square root of 2.
Putting this in to a calculator, we get 5.6568542. When rounded to the nearest hundredth, it is 5.66, which is the first answer.
Find 0% of 120:
Find 100% of 120:
Find 50% of 120:
Find 25% of 120:
Find 75% of 120:
Answer:
Find 0% of 120: 0
Find 100% of 120: 120
Find 50% of 120: 60
Find 25% of 120: 30
Find 75% of 120: 90
Step-by-step explanation:
Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?
Answer:
$0.71
Step-by-step explanation:
9.99 + (3% of 9.99) = 10.2897
11 - 10.2897 = 0.7103, so $0.7103 is our answer. However, this isn't a real amount of money that can be handed from a clerk to a customer. So, we will round it to the nearest cent, bringing us to $0.71, our final answer.
what is 10% of 100,
000
Answer:
10,000
Step-by-step explanation:
Question
Use a number line to compare the following fractions: 4/3 7/6
The comparison is that:
4/3 is greater than 7/6 and 7/6 is less than 4/3
The fractions are given as:
4/3 and 7/6
See attachment for the number line that represents both fractions
From the number line. 4/3 is at the right of 7/6
This means that:
4/3 is greater than 7/6 and 7/6 is less than 4/3
Read more about number lines at:
https://brainly.com/question/10851163
Given the following table of values for f(x), find f(2).
x −1 0 1 2 3 9
f(x) 5 10 8 5 7 14
The value of the function at x = 2 will be 5.
What is a function?A function is a statement, tenet, or rule that establishes a connection between two variables. Mathematics is replete with functions, which are necessary for the construction of intricate relationships.
The result of the calculation that the mathematical model depicts is the expression's result when the necessary parameters and natural laws are given values.
The table represents a function.
x f(x)
-1 5
0 10
2 8
9 14
In the above table, we can see that at the value of x = 2 in the function the value of the whole function is 5.
More about the function link is given below.
brainly.com/question/5245372
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Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below.
A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8.
Which interval contains the median water bill?
$150–$175
$175–$200
$200–$225
$225–$250
The interval which contains the median water bill is $200 - $225
The tabulated data :
Class interval ____ Frequency ___ Cummulative frequency
100 to 125, ________ 1 ___________ 1
125 to 150, 2 ______ 2 ___________3
150 to 175, 5 _______5 ___________8
175 to 200, 10 ______10 __________18
200 to 225, 13 _____13 __________ 31
225 to 250, _______ 8 __________40
The median class = Cummulative frequency / 2
The median class = 40 / 2
The class interval which contains the 20th frequency.
This is the 200 - 225 class
The interval which contains the median water bill is $200 - $225
Learn more : https://brainly.com/question/300591
Can Sb help me pls with this
Answer:
x=15
Step-by-step explanation:
they all add up to 360degrees
Answer:
x = 15
Step-by-step explanation:
hope this helps!
~mina
what does m EB equal? please show your work
Given that a does not equal +-b and a^2-b^2/a+b=12, find a-b.
PLEASE HELP NEED ASAPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answer:
Step-by-step explanation:
Given that a does not equal +-b and a^2-b^2/a+b=12, find a-b.
PLEASE HELP NEED ASAPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
the answer to this question
Answer:
3
Step-by-step explanation: