It should be noted that when the lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. This is true.
What is standard deviation?A measure of a set of values' variance or dispersion is called the standard deviation. Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The greater the distribution of the data, the higher its standard deviation will be..l
It should be noted that the Z value will be computed thus:
Z = X - U / SD
Z = 541.6 - 516 / 20
Z = 1.28.
This will be looked in the distribution table and it illustrated that 90 percent of all batteries have a lifetime less than 541.60 hours
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The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours. True or false?
Evaluate 8-m/n+p2 when m=8, n=2p =7
53.
We have been given that
equation is 8-m/n+p²
where
m= 8;
n= 2;
and p= 7;
Substitution property - If a variable is equal to a specified amount, that amount can be directly substituted into an equation for the given variable.
By using substitution property in equation
8-m/n+p²
8- 8/4+7²
Square of 7 is 7×7 =49
8-8/4+49
after applying BODMAS rule
BODMAS rule is an acronym that is used to remember the order of operations to be followed while solving expressions in mathematics.
8-2+49
=53
Hence, the correct value of the given expression when m=8 n=2 p=7 is 53.
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Hannah estimated that a bottle could hold 2.2 liters. The actual volume of the bottle was 2 litters. What was the percent error in hannas measurements?
Answer:
I dont have a direct answer but i think i can help.
Step-by-step explanation:
For example, 2%, read "percent", is two every hundred. When we have 100 liters of water, 2% is 2 liters. If we have 200 liters of water, then 2% is 4 liters. Converting a percentage into a fraction can be done by dividing by 100, following the definition of a percentage.
What theorem can be used to show that ABC ≅ DEF?
A. AAS Triangle Congruence Theorem
B. SSS Triangle Congruence Theorem
C. ASA Triangle Congruence Theorem
D. HL Triangle Congruence Theorem
Answer:
B
Step-by-step explanation:
6-2d=42
What is D please help me find what it is
Answer: -18
Step-by-step explanation:
if 6-2d=42
just subtract 6 from both sides
-2d=42-6
-2d=36 now divide by 2
-d=18
multiply by -1
d=-18
Answer: d=-18
Step-by-step explanation:
6-2d=42
First subtract 6 from both sides
-2d=36
Now divide both sides by -2 to get d alone
d=-18
How many bacteria is in the Petri dish after 140 min ?
Answer:C. 2^10
Step-by-step explanation:
Law of indices
a^x + a^y = a^(x+y)
2^3 × 2^7
=2^(3+7)
=2^10
Collect like terms
−
8
d
2
−
3
d
2
Answer:
8,2,2,3
d,d,
HOPE THIS HELPS
Answer:
5d²
Step-by-step explanation:
Given
8d² - 3d² ← collect like terms by subtracting the coefficients, that is
(8 - 3)d²
= 5d²
Flight times An airline flies the same route at the
same time each day. The flight time varies according
to a Normal distribution with unknown mean and
standard deviation. On 15% of days, the flight takes
more than an hour. On 3% of days, the flight lasts
75 minutes or more. Use this information to deter-
mine the mean and standard deviation of the flight
time distribution.
Answer:
Mean = 41.588
Standard Deviation = 17.765
Step-by-step explanation:
60 - N/D = 1.03643
75 - M/D
75 - (60 - 1.03643D)/D = 1.88079
15 + 1.03643D = 1.88079D
15 = 0.84436D
17.765 = D
D = 17.765
-----------------------------------
60 - M = 1.03643D
60 - 1.03643D = M
M = 60 - 1.03643(17.765)
M = 41.588
The thermosphere is the fourth layer of the Earth's atmosphere. This layer
starts just above the
mesosphere and extends to 600 kilometers above the surface of the Earth. In this layer the temperature
increases as you go up in altitude. Temperatures can be as low as -120°C to as high as 2000°C. Select all
expressions that show the range of temperatures found in the thermosphere.
A
|--120 - 2000
B.
|- 1201 - 12000
С
2000| - |-120
D
2000 - (-120)
E
- 1-120 - 2000
Answer:
a
Step-by-step explanation:
The expressions of the range of temperatures would be 2000 - (-120) found in the thermosphere which is the correct answer would be option (D).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
The fourth layer of the Earth's atmosphere is the thermosphere. It begins just above the mesosphere and rises to a height of 600 kilometres above the Earth's surface.
As you go in height, the temperature in this layer rises. The range of temperatures is from -120°C to 2000°C.
The range of temperatures found in the thermosphere would be the difference between the final temperature and the initial temperature.
initial temperature = -120°C
final temperature = 2000°C
The range of temperatures = final temperature - initial temperature
The range of temperatures = 2000 - (-120)
Therefore, the expressions of the range of temperatures would be 2000 - (-120) found in the thermosphere.
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The mean can be misleading if you don't know the spread of data items. True or false...
Answer:
True
Step-by-step explanation:
When data is skewed toward the high or low end, the mean can be a misleading measure of central tendency. In such a case the central tendency for the data items shifts toward either the high or low end -- away from the mean. The median then becomes the better measure.
The mean could be misleading when we don't know the spread of data items is to be considered as the true.
Role of mean:
The mean do have the high impact on the extreme observations. In the case when the observation is high so automatically the remaining observations should be low due to which the mean should be increased.
So based on this, we can conclude that The mean could be misleading when we don't know the spread of data items is to be considered as the true.
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11. 1. What value of x makes the equation 3x - 6 = 9 true?
Answer:
5
Step-by-step explanation:
6+9=15
15/3=5
HELP!!! Find the range of the function shown in the graph:
Answer:
4/12
Step-by-step explanation:
brainest plz
Answer:
b
Step-by-step explanation:
Evaluate the following expression 2 x 1 + 2 x 4.
Answer:
2 × 1 +2 × 4= 10
Step-by-step explanation:
because 2×1 is 2 and 2×4 is 8 then you add them and get 10
6th grade maths easy help!
Answer: 112 degrees
Step-by-step explanation:
The angles have the same measure because of the corresponding angles theorem.
[tex]\huge\boxed{112^\circ}[/tex]
To solve this problem, we need to understand the basic rules of transversals across parallel lines.
When a line crosses another line or lines, it is a transversal.
When the two lines it crosses are parallel, the eight angles formed have interesting properties that we can use.
For this question, we will look at corresponding angles. If two angles meet these two conditions, they are congruent:
Both angles are on the same side of the transversal.One angle is interior (between the parallel lines) and the other is exterior.These two conditions are met for [tex]\angle JIK[/tex] and [tex]\angle GFI[/tex], so they are congruent and their measures are equal.
This means that [tex]m\angle JIK=m\angle GFI=\boxed{112^\circ}[/tex]
write a paragraph about what the Hawthorne Studies tells us about workers and what happens when they are being observed and why that is important
Answer:
is important because yo understand more with paragraph
Step-by-step explanation:
HELPPPPPPPPPPPPPP 100 POINTS IF YOU ANSWER ALL CORRECT
Answer:
[tex]\left[\begin{array}{ccc}y=x&y=\frac{2}{3}x&y=\frac{2}{3}x +1 \\-6&-4&-3\\-3&-2&-1\\0&0&1\\3&2&3\\6&4&5\end{array}\right][/tex]
Step-by-step explanation:
-6: y = -6
y = [tex]\frac{2}{3}[/tex] (-6)
y = -4
y = [tex]\frac{2}{3}[/tex] (-6) + 1
y = -4 + 1
y = -3
-3: y = -3
y = [tex]\frac{2}{3}[/tex] (-3)
y = -2
y = [tex]\frac{2}{3}[/tex] (-3) + 1
y = -2 + 1
y = -1
0: y = 0
y = [tex]\frac{2}{3}[/tex] (0)
y = 0
y = [tex]\frac{2}{3}[/tex] (0) + 1
y = 1
3: y = 3
y = [tex]\frac{2}{3}[/tex] (3)
y = 2
y = [tex]\frac{2}{3}[/tex] (3) + 1
y = 2 + 1
y = 3
6: y = 6
y = [tex]\frac{2}{3}[/tex] (6)
y = 4
y = [tex]\frac{2}{3}[/tex] (6) + 1
y = 4 + 1
y = 5
I WILL GIVE. BRAINLIEST IF YOU HAVE PROOF (I need help)
Answer: use this link
Step-by-step explanation:
A sequence is shown in the graph.
points at 1 comma 48, 2 comma 12, 3 comma 3, and 4 comma 75 hundredths
Assuming the pattern continues, what is the formula for the nth term?
an = 48(4n)
an = 48(0.25n + 1)
an = 4(48n − 1)
an = 48(0.25n − 1)
Answer:
(d) 48(0.25^(n-1))
Step-by-step explanation:
The points shown on the graph have y-values that decrease by a factor of 4 as x-values increase by 1. The first couple are (1, 48), (2, 12). You want the formula for the n-th term.
Geometric sequenceThe terms of a geometric sequence have a common ratio (r). If the first term is a1, the general term is ...
an = a1(r^(n-1))
ApplicationThe given sequence has first term a1 = 48. The common ratio is ...
r = 12/48 = 1/4 = 0.25
Using these value in the formula for the general term, we find the n-th term to be ...
an = 48(0.25^(n-1)) . . . . n-th term of the pattern
[tex]\begin{array}{ccccccccc} 1&&2&&3&&4&&5\\\cline{1-9} \\48&,&12&,&3&,&\underset{0.75}{\frac{3}{4}}&&\underset{0.1875}{\frac{3}{16}}\\[2em]\cline{1-9} &&48\left( \frac{1}{4} \right)&&12\left( \frac{1}{4} \right)&&3\left( \frac{1}{4} \right)&&\frac{3}{4} \end{array}~\hfill \begin{array}{llll} a_1=48\\\\ r=\frac{1}{4} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\stackrel{\textit{first term}}{48}\\ r=\stackrel{\textit{common ratio}}{\frac{1}{4}\to 0.25} \end{cases}\implies a_n=48\left( 0.25 \right)^{n-1}[/tex]
Which three cards have equal values?
Answer:
Top Middle, Top Right, Bottom Left.
A friend has a 79%
average before the final exam for a course. That score includes everything but
the final, which counts for 25% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score would your friend would need on the final to earn a 75% for the course?
%
Give answers accurate to at least one decimal place.
Answer:
best course grade: 84.25%least final grade: 63%Step-by-step explanation:
You have a course average of 79% that is 75% of your grade, and you want to know ...
the least final score for a course average of 75%the best possible course average.Weighted averageThe course average is computed as the weighed average of the course grade so far and the final grade. The weighs are 75% and 25%, respectively. In formula form, the relation between the final grade (f) and the course average (c) is ...
0.75(79) + 0.25f = c
Solving for f, we have ...
f = 4(c -59.25) = 4c -237
a) Best course gradeAssuming the best final grade is 100, the best course grade is ...
c = 0.25(100) +59.25 = 25 +59.25 = 84.25
The best course grade is 84.25%.
b) Least final gradeFor a course grade of 75%, the least final grade necessary is ...
f = 4(75) -237 = 300 -237 = 63
The minimum score on the final for a 75% for the course is 63%.
__
Additional comment
Here we have percentages with two different bases. The course grade percentages have a base of the greatest possible number of credits. The weight percentages have a base of the whole course grade. Working with percentages of percentages can be confusing if the base of the percentage is not clear.
We often find it easier to deal with grades expressed as a number 0 to 100, rather than as a percentage. That is what we have done here (except in the final answers). The final answer expresses the course grade as a percentage so as to be consistent with the problem statement.
Will the sum of 2 and (-6) be a positive or negative
number? Explain.
Answer:
negative
Step-by-step explanation:
2+-6=-4
Answer:
Step-by-step explanation:
it will be negative because the sum will take the sign of the bogger number
+2-6=-4
how many solutions does the system have 6x+3y=-12 y=-2x+4
Answer: No solutions
Step-by-step explanation: These equations, when done by substitution, end up not equaling each other.
Finally! After nearly two weeks of manual labor in the Georgia summer heat, all of the moving boxes are unpacked and all of your things have a place. You and your three roommates, Alex, Payton, and Jordan, got so lucky in the real estate department. Your apartment is right in the heart of midtown and in walking distance from the Georgia Tech Engineering building where you take the majority of your classes. Everything is perfect! Well… except one crucial component. The four of you cannot seem to agree on an internet and cable provider!
You have narrowed the list of options down to a few of the best companies. All companies offer exactly what the four of you need to continue being top engineering students.The big difference? The price. Your roommates are math enthusiasts and engineering majors just like you, so you know you need to provide extensive evidence to each of them to help move the decision along.
SignoCable has a program where you are able to waive the installation fee and offers your cable for $210 per month.
Urban Cable is offering a special promotion. They are requiring a $320 installation fee upfront. The month to month payment will be $115 for the first 12 months. After the first year, the monthly fee will increase.
ITP Cable requires a lower installation fee than Urban Cable. After six months with this company, you would have paid $1081 since the beginning of the year, and $1257 after 7 months of paying.
MonstroPin Cable company’s installation fee is $100.50. The total payment in August is $59 more than three times the total payment in February.
You’ve decided it’s up to you to save you and your friends money by presenting them with a clear model of the out of pocket expense for all cable companies. Not only do you plan on making a visual representation for Alex, you will even write a proposal that analyses your findings for Payton and Jordan. You will provide them with indisputable evidence of which cable company will provide the most cost effective service. The service you guys choose now will dictate how fast you can register for classes, when you can stream Game of Thrones, and turn your papers in on time. Needless to say, this is an important decision!
3 meters of cloth is the ratio of 3:7
When given 3 meters of cloth to divide in the ratio 3 : 7 then one part of the division will have 0.9 meters and the other side will have 2.1 meters.
How to use ratio to divide?The ratio is 3 : 7 which means that the 3 meters of cloth should be divided such that one part is 3 to the 7 of the other part.
First, find the denominator:
= (3 + 7)
= 10
The smaller part of the cloth:
= 3 / 10 x 3 meters of cloth
= 9 / 10 meters
= 0.9 meters
The larger part of the cloth:
= 7 / 10 x 3 meters of cloth
= 21 / 10
= 2.1 meters
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Mario earned a raise that increased his hourly pay rate from $8 to $10. What was the
percent increase in his hourly pay?
part (difference or change)
%
whole (original amount)
100
O 20%
O 25%
O56%
O 80%
Answer:
25%
Step-by-step explanation:
You notice 8 to 10 is 2. So take 2 divided by 8 to find the percent and add 8 to see if it makes 10.
Olivia is adding the numbers 25, 35, and 9. She wants to make a ten to add. Which ones digits does Olivia add first?
Answer:
35+25
Step-by-step explanation:
Olivia first add 25 and 35 to get the sum 10.
What is Addition?Addition is a technique for merging items and counting them as one big group. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
Given:
Olivia had numbers as 25, 35 and 9.
So, to get the 10 the number should contain 5 at unit place.
then we first add 25 and 35
= 20+ 5 + 30+ 5
= 50+ 10
= 60
Then, 60+ 9= 69
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I GIVE BRAINLILSET
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Answer:
(C) $1.5
Step-by-step explanation:
Profit Percent * Cost Price = Profit
20% * $1.25 =
20/100 = .2 * $1.25 =
$.25
Selling Price = Profit + Cost Price
$.25 + $1.25 = $1.5
HELP!
I’m having a hard time solving this.
Log x + log (x+15)=2
Answer:
Step-by-step explanation: log x +log x +log15=2
2log x=2-log 15
log x= 0.823/2
x=antilog (0.411)
x=2.58
You wish to purchase a new car, and can afford monthly repayments of up to $150 per month. You see a car you like for $6,000, and are offered financing to secure the purchase. The terms of the deal are that the loan lasts for 5 years, and the annual interest rate is 15.9%. Can you afford to purchase the car on finance?
The monthly repayment of $145.59 is less than expected monthly payment of $150, hence, the individual can afford tp purchase the car on finance
How do we determine affordability in this case?
In order to determine whether the individual can afford to purchase the car on finance, we need to ascertain the monthly payment of the loan based on the terms of deal provided which would be compared to the expected monthly repayment of $150 using a financial calculator as below:
N=60(number of monthly payments in years=5*12)
I/Y=15.9/12(monthly interest rate without the % sign)
PV=-6000(loan principal)
FV=0(after 60 monthly payments, the balance would be nil)
CPT(press compute)
PMT=$145.59
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2(7m−5)+(−8+9m)=?
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answer:
23m-18
Step-by-step explanation:
2(7m−5)+(−8+9m)
Remove parenthesis
2(7m-5)-8+9m
expand
14m-10
14m-10-8+9
simplify
23m-18
Ask me for more questions brainliest please.
Which graph represents a linear function?
Answer:
y + 2x = 10 (third option)
Step-by-step explanation:
We can see that every time x increases by one, y increases by -2, meaning that the slope is -2.
We also know that the y-intercept is 10 because that is the value of y when x is equal to 0.
Now, we can create the equation using the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).
y = -2x + 10
If you look at the third option, that equation is just a rearranged form of our equation (y + 2x = 10).
This means that the third option is correct.
Answer:
C, or y+2x=1-
Step-by-step explanation:
Test them one by one. Put the y into the equation and the x in the equation. Whichever ones always work are the correct answer. Remeber, you have to consider all the possible values of x and y when you test them!
MXXX