Answer:
A) x¯ = 134.5
s² = 276.7 is the same for both formulas
s = 16.634
B) At 68.26%, we have (117.866, 151.134)
At 95.44%, we have (101.232, 167.768)
At 99.73%, we have (84.598, 184.402)
C) Yes, it will be considered high because 190 doesn't fall between any of the 3 tolerance intervals gotten in B above.
Step-by-step explanation:
A) The random 6 entertainment expenses are;
$157, $132, $109, $145, $125, $139
We want to find x¯ which is the mean.
Thus;
x¯ = (Σx)/n
x¯ = (157 + 132 + 109 + 145 + 125 + 139)/6
x¯ = 134.5
s² is the variance and can be calculated from 2 different formulas which are;
s² = (Σ(x - x¯)²)/n
Or s² = ((Σx²) - (Σx)²/n)/(n - 1)
For the first formula, when calculated we have;
s² = [(157−134.5)² + (132−134.5)² +(109−134.5)² + (145−134.5)² +(125−134.5)² + (139−134.5)²]/6
s² = 276.7
For the second formula;
(Σx²) = (157)² + (132)² + (109)² + (145)² +(125)² + (139)² = 109925
(Σx) = (157 + 132 + 109 + 145 + 125 + 139) = 807
Thus;
s² = (109925 - (807²/6))/(6 - 1)
s² = 276.7
So both formulas gave the same result of s²
s = √s² = √276.7
s = 16.634
B) from the empirical rule, 68% of the data will fall within one standard deviation while 95% of the data will fall within two standard deviations, and then 99.7% of the data will fall within three standard deviations from the mean.
Now, 68.26% will correspond to 1 standard deviation from the means and the tolerance level Formula here is;
x¯ ± s = 134.5 ± 16.634
This gives; (117.866, 151.134)
95.44% will correspond to within 2 standard deviations and the formula here is;
x¯ ± 2s = 134.5 ± 2(16.634)
>> (101.232, 167.768)
99.73% will correspond to within 3 standard deviations and the formula here is;
x¯ ± 3s = 134.5 ± 3(16.634)
>> (84.598, 184.402)
C) Yes it would be considered high because it doesn't fall between any of the 3 intervals in B above.
a sqaure pieace of platic has sides that are 3 centimeter long. what is the platic pieace of teh area? answers
Solving
Tamika and Bryan hiked 7 miles a day.they hiked for 5days
Kurt and Sade hiked 5 miles a day. How many days did it take Kurt and sade
to hike the same distance as Tamika and bryan
sentence to solve.
Answer:
7 days
Step-by-step explanation:
Tamika and Bryan :
Distance per day = 7 miles
Number of days = 5
Tottal distance hiked = 7*5 = 35 miles
Kurt and Sade :
Distance per day = 5 miles
Number of days = x
Total distance hiked = 5x
35 = 5x
x = 35 /5
x = 7
What is the equation for this word problem?:
Salma has 18 cars available to rent.
Last C be the number of cars she would have left after renting R of them.
Help!!!
Answer:
equation: C = 15 - R
C = 15 - 7
C = 8
Step-by-step explanation:
Okay first of all stan the karl pfp
2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?
Answer:
12000 mg/day or 80 capsules
Step-by-step explanation:
First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.
44/2.2=20 kg
600*20=12000 mg per day
12000/150=80 capsules
Seems a bit excessive but looking over my process I don't see any mistakes.
Adila sells T-shirts at a rock concert. She earns $8.00/h, plus $0.50 for each T-shirt she sells.
How many T-shirts must Adila sell to earn $80 in a 6-h shift?
Answer:
64 Shirts
Step-by-step explanation:
For 8 hrs she already earns $48 because 8*6=48. She needs $32 more from shirts to make $80. If its $0.50 per shirt it takes 64 to make $32
A used car dealership surveyed 50 customers who bought a card from them two years ago. 78% of customers said that they would recommend this dealership to their friends. What is the 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends
Answer:
The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A used car dealership surveyed 50 customers who bought a card from them two years ago. 78% of customers said that they would recommend this dealership to their friends.
This means that [tex]n = 50, \pi = 0.78[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 - 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.6836[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.78 + 1.645\sqrt{\frac{0.78*0.22}{50}} = 0.8764[/tex]
As a percent:
0.6836*100% = 68.36%
0.8764*100% = 87.64%
The 90% confidence interval for the percent of all former buyers who would recommend this dealership to their friends is (68.36%, 87.64%).
some1 hurry need help
Answer:
C) 11
Step-by-step explanation:
The common multiples less than 70 of 6 and 8 are: 24 and 48.
If there are 24 blue and green (12 each), there would be 46 yellow and red. Half of 46 is 23, which isn’t an answer choice.
If there are 48 blue and green (24 of each), there would be 22 yellow and red. Half of 22 is 11.
Pls help me pls pls I beg you
Answer:
3/32 in³
Step-by-step explanation:
To find the volume of a rectangular prism, multiply the length, width, and height.
[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]
Therefore, the volume is 3/32 in³.
PLZ HELP ILL GIVE BRAINLIEST FOR RIGHT ANSWER!!!
This line plot shows the number of hours students studied for a final exam.
How many students studied at least four hours for the final exam?
Enter your answer in the box.
___students
Answer:
4
Step-by-step explanation:
the answer is 4 because 2 people studied 4 hours, 1 person studied 4.5 hours and one person studied 8.5 (they are insane) which would total to 4 people studying for at least 4 hours.
Plz mark brainliest
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=11°, and GH = 8.8 feet. Find the length of IG to the nearest tenth of a foot.
I need help I'm confused again need help asap
Answer:
1/8th chance of spinning yellow
or as a decimal 0.125
Step-by-step explanation:
Hope this helps
I’ve been stuck on this can I get help.
Answer:
12 days
Step-by-step explanation:
720-240=480
480÷8= 60
1 day= 60 chairs
? days= 70 chairs
12 days = 720 chairs
hope this helps
Solve for x.
17
6
15
Answer:
x = 11
Step-by-step explanation:
Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \
Use formula : (whole*outside = whole*outside)
1. Formula
WO = WO
2. Substitute variables and setup equation
7(x+7) = 6(6+15)
3. Simplify and remove parentheses
7x+49 = 126
4. Isolate and solve for (x)
7x = 77
x = 11
Answer: 11
Given:
The figure of circle and two secants from an external point.
To find:
The value of x.
Solution:
According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then
(I secant) × (external segment of I) = (II secant) × (external segment of II)
Using the intersecting secant theorem, we get
[tex]7(7+x)=6(6+15)[/tex]
[tex]49+7x=36+90[/tex]
[tex]7x=126-49[/tex]
[tex]7x=77[/tex]
Divide both sides by 7.
[tex]x=\dfrac{77}{7}[/tex]
[tex]x=11[/tex]
Therefore, the value of x is 11.
Choose A B C or D
State if the triangles in each pair are similar. If so, state how you
know they are similar
A) similar; SAS similarity
C) not similar
B) similar; SSS similarity
D) similar, AA similarity
Answer:
Option D
Step-by-step explanation:
From the picture attached,
m∠K ≅ m∠C [Given]
m∠L = m∠D [Given]
By AA property of similarity,
Both the triangles ΔDEC and ΔLMK are the similar triangles.
Option D will be the correct option.
The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?
Answer:
There is a 10 percent increase
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,
-4) and (3,8)
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,
-4) and (3,8)
Answer:
13 units
Step-by-step explanation:
(8, -4) and (3,8)
To find the distance of two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Let's plug in what we know.
[tex]d = \sqrt{(3 -8)^2 + (8 - (-4))^2 }[/tex]
Evaluate the double negative.
[tex]d = \sqrt{(3 -8)^2 + (8 + 4)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(-5)^2 + (12)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(25) + (144) }[/tex]
Add.
[tex]d = \sqrt{(169)}[/tex]
Evaluate the square root.
[tex]d = 13[/tex]
13 units
Hope this helps!
Answer:
12
Step-by-step explanation:
a⋅(a+b)= c⋅(c + d) formula
9⋅(9+x)= 3⋅(3+60)
81+9x=3(63)
81+9x=189
-81 -81
9x=108
x=12
A lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid. The
assistant has solutions of 1.5% and 4% in supply at the lab. Using the variables x and
y to represent the number of milliliters of the 1.5% solution and the number of
milliliters of the 4% solution respectively, determine a system of equation that
describes the situation.
Enter the equations below separated by a comma.
How many milliliters of the 1.5% solution should be used?
How many milliliters of the 4% solution should be used?
Answer:
240 ml of 1.5% solution and 360 ml of 4% solution should be used.
Step-by-step explanation:
Since a lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid, and the assistant has solutions of 1.5% and 4% in supply at the lab, to determine the number of milliliters of the 1.5% solution and the number of milliliters of the 4% solution that must be used, the following calculations must be performed:
50 x 0.015 + 50 x 0.04 = 0.75 + 2 = 2.75
40 x 0.015 + 60 x 0.04 = 0.6 + 2.4 = 3
600 x 0.4 = 240
Therefore, 240 ml of 1.5% solution and 360 ml of 4% solution should be used.
A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items
Answer:
[tex]Mean = 6.07[/tex]
[tex]Median = 7[/tex]
[tex]Mode = 7[/tex]
Step-by-step explanation:
Given
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]n = 15[/tex]
Solving (a): The mean
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
This gives:
[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]
[tex]Mean = \frac{91}{15}[/tex]
[tex]Mean = 6.07[/tex]
Solving (b): The median
Sort the data in ascending order:
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]
The median is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{15 + 1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item on the sorted dataset is 7; So:
[tex]Median = 7[/tex]
Solving (c): The mode
[tex]Mode = 7[/tex]
Because it has a frequency of 3 (more than any other element of the dataset).
Subtract -41-(64)-11-16
The answer is -132...............................Plz the brainliest
Answer: =−132
Step-by-step explanation: Hope this help :D
Write an equivalent expression for -24 + 54n.
Answer:
30n
Step-by-step explanation:
-24+54=30×n=30n
I needed 20 more letters so ya lol
Answer:
-6 (4-9n)
Step-by-step explanation:
A pistol is accidentally discharged vertically upward from a height of 3 feet above the ground. If the bullet has an initial velocity of 200 feet per second the path of the bullet is modeled by the equation h=-16t 2 +200t+3, what maximum height will it reach before it starts to fall back down to the ground?
Answer:
hmax = 628 ft
Step-by-step explanation:
The bullet will reach its maximum height when its velocity h'(t) becomes zero. The equation of motion is
h(t) = -16t^2 + 200t + 3
Taking the derivative of h(t) is
h'(t) = -32t + 200
Solving for t when h'(t) = 0, we get
t = 200/32 = 6.25 s
and this is the time it takes for the bullet to reach its maximum height. Using this value for t into h(t), we get
h = -16(6.25 s)^2 + 200(6.25 s) + 3
= 628 ft
come get a hundred points
50 points, not 100 points...
The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.
Answer:
The mean should be 75.3.
Step-by-step explanation:
[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]
Hope this helps!
what is the answer to this?
Answer:
This is the answer:
330550=
What is the median of the data?
3
8
5
5.5
Answer:
Median= middle number
(Example) 1, 4 ,6, 7 ,12
6 Would be the median here
so, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8,
5 Is the middle number and the median
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8
Hope this helped! Please leave any questions or concerns in the comments byeee <3
HELP ASAP! I will GIVE BRAINLY !! Need the whole answer please :(
Answer:
y = -1/2x + 1
Step-by-step explanation:
use 2 points to find slope, i used: (0,1) (4,-1)
m = 1-(-1) / 0-4
m = 2/-4
m = -1/2
as seen in graph, y-intercept is 1
∴ y = -1/2x + 1
Answer:
y=-2/4x+1
Step-by-step explanation:
the slope would be rise/run and y-intercept is wherever the line crosses the y-axis
their sum is -11 and the difference is 41
Answer:
x+41=-11 I guess
Step-by-step explanation:
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The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References
HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!
A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20
b) 30
c) 50
d) 100
Anthony buys 5 boxes of cookies: Emily buys r times as many boxes of cookies as Anthony.
Which expression represents the total boxes of cookies that Anthony and Emily buy?
r +5
r + 10
5r+r
5r + 5
Answer:5r +5
Step-by-step explanation: