A certain brand of electric bulbs has an average life of 300 hours with a standard deviation of 25. A random sample of 100 bulbs is tested. What is the probability that the sample mean will be less than 295?
Answers
The probability that the sample mean will be less than 295 is 42.07%
The life of electric bulb follows Normal distribution
Given ,
Average life : mean = 300hours
Standard deviation = 25
Sample size = 100
Probability that the sample mean will be less than 295 = P(x<295)
P(x < 295) =
subtracting 300 and dividing each by 25
\(P(\frac{x - 300}{25} < \frac{295 - 300}{25} )\)
solving and putting \(\frac{x - 300}{25}\) equal to z
P(Z < -5/25) = P(Z < -0.2)
Using Z probability table ,
P(x < 295) = 0.4207
Hence , probability that the sample mean will be less than 295 is 42%
To know more about Normal distribution here
https://brainly.com/question/15395456
#SPJ1
Related Questions
please help me solve this
Answers
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
More can be learned about the area of a triangle at brainly.com/question/21735282
#SPJ1
An amusement park line is
moving about 4 feet every 15
minutes. How long will it take
for a person at the back of the
40-foot line to reach the front of
the line?
Answers
Answer:
150 minutes, or 2 hours and 30 minutes
How could mean, median, mode, and range be impacted if a value in a data set changed?
Answers
In summary, a change in a value in a data set can have varying impacts on the measures of central tendency and dispersion, depending on the value that was changed and its relationship to the other values in the data set.
Why it is?
The measures of central tendency, such as mean, median, and mode, and the measure of dispersion, range, can be impacted by a change in a value in a data set.
Mean: The mean is calculated by adding all the values in a data set and then dividing by the total number of values. If a value in the data set changes, the sum of the values will change, and thus the mean will also change. The impact of the change on the mean will depend on the value that was changed and how much it differs from the other values in the data set.
Median: The median is the middle value in a data set, when the values are arranged in order. If a value in the data set changes, the position of the median may change, depending on where the new value falls in the order of the values.
Mode: The mode is the value that appears most frequently in a data set. If a value in the data set changes, the mode may change, depending on whether the new value becomes the most frequent value or not.
Range: The range is the difference between the highest and lowest values in a data set. If a value in the data set changes, the range may change, depending on how much the new value differs from the highest or lowest value in the data set.
To know more about Median visit:
https://brainly.com/question/28060453
#SPJ9
rogress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer A motor oil retailer needs to fill 50 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil. Which will he need to fill the bottles? The 2 gallon tank is enough. He will need both tanks. The 2 gallon tank is not enough, but the 12 gallon tank is enough. Question ID: 53297 Even both tanks will not be enough.
Answers
The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
Find the solution ?The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:
Quarts to gallons is 4 to 1.
1/4 x 60 = X
60/4 = X
15 = X
Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons
To learn more about gallons refer
https://brainly.com/question/24138072
#SPJ1
Selling Price = $ 504 and Gain % = 12%
Answers
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answers
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
The figure shows a right triangle with one leg marked 20. The hypotenuse is marked 25.
Answers
You would do this problem by first writing down your Pythagorean Theorem, which is a^2 + b^2 = c^2.
Since we have our hypotenuse which is c^2 in our equation, we would write or insert the number we have.
So our equation could be that a or b leg equals 20, it doesn’t matter which one.
So we could write, 20^2 + b^2 = 25^2. So we don’t know what b leg is.
First we should figure out what 20^2 is and what 25^2 is.
20^2 is 400 and 25^2 is 625.
Our equation now comes to 400 + b^2 = 625.
Now we take 400 and subtract it from
625 -> 400 + b^2 = 625
-400.
So 625 - 400 comes out to be 225.
Lastly instead of squaring or putting 225 to the second power, we do the opposite.
So instead of squaring 225 we must square root 225. √ 225 .
The square root of √ 225 comes out to be 15.
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Answers
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
To know more about Percentage:
https://brainly.com/question/29306119
#SPJ2
Express 27x81 as a power of 3
Answers
Answer:
3^7
Step-by-step explanation:
27 = 3^3
81 = 3^4
3+4 = 7
Bob has a total of 60 adventure cards for a game. The table shows the number of cards, c, distributed to p players. Which equation describes the pattern in the table?
p 2 3 4 5
c 30 20 15 12
c = 60 ÷ p
c = 60 – p
c = 60p
c = 60 + p
Answers
For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p
Describe probability. Describe using an example.Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.
The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.
To know more about Table visit:
brainly.com/question/20648466
#SPJ1
A baseball player comes up to bat 3 times during a league game. He either gets a hit or gets an out. What is the probability that the player gets 3 hits in the three bats ?
Answers
Answer:
Since there are 2 possibilities for each bat (hit or out), the amount of total possibilities is 2 * 2 * 2 = 8. There is only one possibility out of those eight that gives us three hits, therefore the probability is 1 / 8 or 0.125.
Find the product of the given polynomials. (5 x +8 -6x) (4+ 2x 87)
a. -2x2+19x -24
b-2x2 -24x +19
c- 2x2 +19x +24
d- 2x2 +13x -24
Answers
Answer:
\(- 2x^2 +19x -24\)
Step-by-step explanation:
Given
\((5x + 8 - 6x)(4 + 2x - 7)\)
Required
Evaluate
We have:
\((5x + 8 - 6x)(4 + 2x - 7)\)
Collect like terms
\((5x - 6x+ 8 )(4 - 7+ 2x )\)
\((- x+ 8 )(- 3+ 2x )\)
Expand
\(3x - 2x^2 -24 + 16x\)
Rewrite as:
\(- 2x^2 + 3x+ 16x -24\)
\(- 2x^2 +19x -24\)
Stanky I need help PLSS ASAPPP
Answers
Explanation: multiply 8 times 3.6= 28.8
Then divide 28.8 by 2 because you always have to divide by 2 when is a triangle
Answer:
I would say B
Step-by-step explanation:
sorry if the answer was wrong i am bad at math
Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE
Answers
Answer:
52.5 inch square
Step-by-step explanation:
Area of pentagon: A = 1/2 × p × a;
where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.
A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5
The area of the regular pentagon with apothem 3.5 and side 6 is 52.5
What is the area of the regular pentagon?In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.
How to find the area of the regular pentagonGiven the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.
In order to find the area, the formula to calculate the area of the regular pentagon is given by:
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
Where “s” is the side length. And “a” is the apothem length.Now,
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)
\(\text{Area of pentagon} =52.5\)
Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5
Learn more about the area of a regular pentagon at:
https://brainly.com/question/32396768
Sadie is selecting two pieces of paper at random from the stack of colored paper in her closet. The stack contains several sheets of each of the standard colors- red, orange, yellow, green, blue, and violet.
All of the following are possible outcomes for Sadie's selection, except:_________.
a. Green, violet
b. Blue, black
c. Orange, yellow
d. Red, red
Answers
There are no black pieces of paper in her closet so it’s impossible to get black
Answer:blue black
Step-by-step explanation:
I just need help with the range domain is [-2,3)
Answers
Answer:
We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).
Step-by-step explanation:
Question 1 The straight-line graph defined by the equation y = 2x – 4. will cut the y-axis at the point.
Answers
Answer:
(0;-4)
Step-by-step explanation:
cuz it cut the y-axis so x have to be 0
y=2*0 -4= -4
so the point is (0;-4)
If the sum of two numbers is 4 and the sum of their spuares minus three times their product is 76, find the numbers
Answers
Answer:
\(Suppose~that~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=4.........(1)\\or, y=4-x.......(2)\\From~the~second~condition,\\x^2+y^2-3xy=76\\or, (x+y)^2-2xy-3xy=76\\or, 4^2-5xy=76\\or, -5xy = 76-16\\or, -5xy = 60\\or, xy = -12\\From~eq^n~(2),\\x(4-x)=-12\\or, 4x-x^2=-12\\or, x^2-4x-12=0\\or, x^2 +2x-6x-12=0\\or, x(x+2)-6(x+2) = 0\\or,(x+2)(x-6) = 0\\i.e. x = -2 ~or ~6\\When~ x=-2, y=4-(-2) = 4+2 =6\\When~x=6, y=4-6 = 4-6 = -2\\So,~the~two~numbers~are~-2~and~6.\)
Answer:
-2 and 6
Step-by-step explanation:
Mark the first number as x
and the second number as y
Since x + y = 4
y = 4 - x
// substitute the given value of y into the equation
\(x^{2} + y^{2}\) - 3xy = 76
\(x^{2}\) + \((4-x)^{2}\) - 3 * x * (4 - x) = 76
\(x^{2}\) + 16 - 8x + \(x^{2}\) - 12x + 3\(x^{2}\) = 76
\(x^{2}\) + \(x^{2}\) + 3\(x^{2}\) - 20x = 76 - 16
5\(x^{2}\) - 20x = 60
5\(x^{2}\) - 20x - 60 = 0
// divide both sides by 5
\(x^{2}\) - 4x - 12 = 0
// write -4 x as a difference, this way it is faster than calculating discriminant
\(x^{2}\) + 2x - 6x - 12 = 0
// factor out x and -6 from the expression
x (x +2) - 6 (x +2) = 0
(x - 6) * (x + 2) = 0
// there are two possible cases
1) x - 6 = 0
2) x + 2 = 0
1) x = -2
2) x = 6
// substitute the given value of x into the equation
1) y = 4 - x = 4 - (-2) = 6
2) y = 4 - x = 4 - 6 = -2
Now we get two pairs (-2; 6) and (6; -2), which are the solutions to the system
Since their sequence as the question suggests is irrelevant, the numbers are -2 and 6
Out of 5 components, 3 are domestic and 2 are imported. 3 components are selected at
random (without replacement). Obtain the PMF of X =”number of domestic components
picked” (make a table).
Answers
The probability distribution function for the number of domestic components is given as follows:
P(X = 0) = 0.P(X = 1) = 0.3.P(X = 2) = 0.6.P(X = 3) = 0.1.What is the hypergeometric distribution formula?The mass probability formula is presented as follows:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.The parameter values for this problem are given as follows:
N = 5, k = 3, n = 3.
The distribution is composed by the probability of each outcome, hence:
P(X = 0) = C(3,0) x C(2, 3)/C(5,3) = 0.P(X = 1) = C(3,1) x C(2, 2)/C(5,3) = 0.3.P(X = 2) = C(3,2) x C(2, 1)/C(5,3) = 0.6.P(X = 3) = C(3,3) x C(2, 0)/C(5,3) = 0.1.More can be learned about the hypergeometric distribution at https://brainly.com/question/14741653
#SPJ1
Please
i need to bring my grade up
i have to have it up before noon.
Answers
Answer:
what i would do is if you are in real school not online ask you teacher to give extra stuff like:
Step-by-step explanation:
extra like: missing assinments, extra credit work, retake any tests etc. but if your online you can retake tests and go ahead of work. hope this helps!
Problem of the week, provide step-by-step please!
Answers
Answer:
Step-by-step explanation:
The smallest perfect square that has three different prime numbers as factor is 900
900 = 30 * 30
Factors = 2² * 3² * 5² = 900
Simply expression
Please show steps
Answers
Answer:
3(x + 5y) - 2(x + y)
3x + 15y - 2x - 2y
x + 13y
(3x + 15y) + (-2x + -2y)
x + 13y
HELPPPP
I CANT GET THIS WRONG
Answers
Answer:
(-5, 4) The x value is -5, and the y value is 4.
The sum of the digits of a certain two-digit number is 10. Reversing its digits increases the number by 18. What is the number?
Answers
Answer:
46 is the correct answer
Step-by-step explanation:
64 - 46 = 18
Copyright Reserved
use a net to derive a formula
for the total surface area of
a cube,
Answers
Answer:
formula= 6ssquare
Step-by-step explanation:
where s is the length of the cube on each side
HELP MATHS ASAPPPP!!
Can I Dm the qs to you please???
Answers
How would you type in math symbols? When you ask for answer to algebra question.
Answers
Answer:
_+
Step-by-step explanation:
-3x is a example of symbols
Find the value of the major arc ABC when the angle measures 40 degrees
Answers
Answer:
Step-by-step explanation:
if we draw diameter through A and let it meet the circumference at D .
Let O be the center.
∠DAC=90-40=50°
∠DOC=2×50=100°
arc ABD=180°
arc ABC=180+100=280°
Two people are planning their wedding. For the reception, they found the the cost C for 50 guests, g is $2150 whereas the cost for 75 guests is $3025. Calculate the slope to find the cost per guest?
Answers
The slope which shows the cost per guest is $35 per guest
The given cost for 50 guests is $2150.
The cost for 75 guests is $3025.
It can also be represented as:
(Guest, Cost) =(50, $2150) & (75, $3025)
The slope can now be calculated as
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (50, $2150) & (75, $3025)
Substituting the given values in the equation as follows:
Slope = (3025 - 2150)/(75 - 50)
Slope = 35
Hence, the slope is $35 per guest.
To know more on Slope click:
https://brainly.com/question/29481191
#SPJ1
01.01 LC)
Look at the following numbers:
−2, −1, 0, 2
Which pair of numbers has a sum of 0? (5 points)
−1, 2
−2, 0
−2, 2
−1, 0
Answers
Answer:
-2, 2
Step-by-step explanation:
The pair of numbers that sum = 0 is:
-2,2
-2 + 2 = 0