If f(×)=1/3×^2+5find f(-9)
Answer:
I think this is the answer
[tex]f( - 9) = \frac{1}{3( - 9) {}^{2} } + 5 \\ = \frac{1216}{243} \\ = 5.0041[/tex]
Each year, a large warehouse uses thousands of fluorescent light bulbs that burn 24 hours per day until they burn out and are replaced. The lifetime of the bulbs is a normally distributed random variable with mean equal to 600 hours and standard deviation of 12 hours. The supplier of the light bulbs and the manager agree that any bulb whose lifetime is among the lowest 1% of all possible lifetimes will be replaced at no charge. What is the maximum lifetime a bulb can have (hrs) and still be among the lowest 1% of all lifetimes
Answer:
The maximum lifetime a bulb can have and still be among the lowest 1% of all lifetimes is 572 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The lifetime of the bulbs is a normally distributed random variable with mean equal to 600 hours and standard deviation of 12 hours.
This means that [tex]\mu = 600, \sigma = 12[/tex]
What is the maximum lifetime a bulb can have (hrs) and still be among the lowest 1% of all lifetimes?
This is the 1st percentile of lifetimes, which is X when Z has a pvalue of 0.01, that is, X when Z = -2.327.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.327 = \frac{X - 600}{12}[/tex]
[tex]X - 600 = -2.327*12[/tex]
[tex]X = 572[/tex]
The maximum lifetime a bulb can have and still be among the lowest 1% of all lifetimes is 572 hours.
What is a decimal that is equivalent to the fraction 82/100
Answer:
0.82
Step-by-step explanation:
100 has 2 zeros so you move the decimal 2 places to the left.
82.
8.2
0.82
Answer:
0.82
Step-by-step explanation:
Decimals are out of 100, this fraction, 82/100, is also out of one hundred; this makes the question much easier to solve. Just take the numerator and put it as a decimal, so in this case, the numerator is 82. We take that numerator and make it a decimal: 0.82.
What is the answer to this question?
Answer: inscribed angle
Step-by-step explanation:
inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
Plz help me well mark brainliest if correct!!...
Answer:
The answer will be D
Have a great day :)
Answer: it would be D two of the fourth graders own two pets
Step-by-step explanation: if you look at the graph it is showing how many people own how many pets then look for the one with for and however many stars are there which is two people who own four pets
Hope this helps :)
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
Answer:
10
Step-by-step explanation:
Standard form for a circle is
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius
--------------------------------
x² + y² - 18x + 24y = -200
Rearrange
(x² - 18x) + (y² + 24y) = -200
Complete the square for x
(x - 9)² + (y² + 24y) = -200 + (-9)²
Complete the sqaure for y
(x - 9)² + (y + 12)² = -200 + (-9)² + 12²
(x - 9)² + (y + 12)² = 25
Now the equation is in standard form
r² = 25
r = 5
Therefor Diameter = 10
30 POINTS AND BRAINLIEST Alexis needs to paint the four exterior walls of a large rectangular barn. The length of the barn is 80 feet, the width is 50 feet, and the height is 30 feet. The paint costs $28 per gallon, and each gallon covers 420 square feet. What is the area of the barn Alexis needs to paint? ______________ Explain how you found your answer.
Answer:
It will cost $532 to paint the barn
Step-by-step explanation:
First we need to find the area of the barn's walls.
2 (length x height) + 2 (width x height)
=2 (80x30) + 2 (50x30)
=2 (2400) + 2(1500)
=4800+3000
=7800 ft^2
Now we can find the amount of gallons needed, then the total cost.
7800 ft^2/420 ft^2
=18.57 gallons
=19 gallons
19 gallons x $28
=$532
Answer:
520
Step-by-step explanation:
Area:
[tex]2(80*30) + 2(50*30) = 7800[/tex]
Price
[tex]\frac{7800}{420}*28 = 520[/tex]
From the equation, find the axis of symmetry of the parabola. y = 3 x squared minus 12 x + 11 a. x = negative 2 c. x = 1 b. x = 2 d. x = negative 1 Please select the best answer from the choices provided A B C D
Answer:
the axis of symmetry would be: b. x=2
The equation of the axis of symmetry of the parabola will be x = 2. Then the correct option is B.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation is given below.
y = 3x² - 12x + 11
Convert the equation into a vertex form. Then we have
y = 3x² - 12x + 11
y = 3x² - 12x + 12 - 1
y = 3(x² - 4x + 4) - 1
y = 3(x - 2)² - 1
The equation of the axis of symmetry of the parabola is given as,
x - 2 = 0
x = 2
The equation of the axis of symmetry of the parabola will be x = 2. Then the correct option is B.
More about the equation of the parabola link is given below.
https://brainly.com/question/20333425
#SPJ2
A spinner has 10 equal sections: 3 redsections, 4 green sections and 3 bluesections. If Josh spins the spinner, what isthe probability that it lands on a greensection?
jaslyyyyyyyyyyyyyyyy is good girl :3
Answer:
7/9
Step-by-step explanation:
this equation is true:
21/27 = 7/9
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
7/9 = Proper Fraction
Use the model to find the product of 0.5 x 0.6.
A)
0.27
B)
0.30
C)
0.33
D)
0.35
Answer:
0.3
Step-by-step explanation:
0.5 is equal to 1/2, so 1/2 x 0.6 = 0.3
Q3) There are 200 passengers on a plane. 84 of them are women and 12 are children.
What percentage of them are:
a) women
b) children
c) neither women nor children?
Find a formula for a geometric sequence that begins 12,4,4/3
Answer:
k
Step-by-step explanation:
Plz help me well mark brainliest if correct....???.
Answer:
C.18
Step-by-step explanation:
In the chart it shows that 18 boys like to read science fiction. Hope this helps :)
write the number that is 100 times greater than 1.86
• LIVE
Henry found his mass on a metric scale. What could Henry's mass be?
O
A. 26 kg
a
B. 2,600 kg
O
C. 8g
0
D. 600 g
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Answer:
A
Step-by-step explanation:
Answer:
Don't agree with 1 and 2, agree with 3
Step-by-step explanation:
1: -35 degrees Fahrenheit is colder than 35 degrees Fahrenheit.
2: A distance of 15 meters is greater than a distance of 10 meters, not less, so it is not closer to sea level.
3: A distance of 17 meters is less than a distance of 40 meters, so it is closer to sea level.
Equations definitions
Answer:
Step-by-step explanation:
MEAN - a). Finds the mean of a numerical data set.
MIN - f). Finds the lowest value of a data set.
COUNT - c). Counts the number of values input for a highlighted data set
MEDIAN - d). Finds the middle value of a numerical data set
MAX - e). Finds the greatest value for a data set
SUM - g). Adds all the numbers in a highlighted range together
MODE - b). Finds the number that occurs most often in a highlighted data set.
On a standardized test, the mean is 37 and the standard deviation is 2.5. Approximately what percent of the scores fall in the range 32 - 42 ?
A) 68%
B) 95%
C) 34%
D) 99%
Answer:
B) 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 37, standard deviation = 2.5
Approximately what percent of the scores fall in the range 32 - 42 ?
32 = 37 - 2*2.5
So 2 standard deviations below the mean
42 = 37 + 2*2.5
So 2 standard deviations above the mean.
This question is the percentage of scores within 2 standard deviations of the mean, so, by the Empirical Rule, it is 95%, option B.
Two less than the product of five and a number is negative 12.
Answer:
1. 2x-4=10
2. 3x+3=2x-1
3. 7x+x=24
4. 5+x=-18
5. -14=10-6x
6. 2x-2=x+12
7. 3x-31=2
8. 5x-14=16
9. 2x+8=4(5-x
10. 2x-3=3(1+x)
Explanation:
I JUST TAKEN THE QUIZ!!!!!
Find the volume of the right cone shown as a decimal rounded to the nearest tenth
Answer:
375π
Step-by-step explanation:
Volume of a cone = 1/3πr²h
Radius, r = 10/2 = 5
Height, h = 45
Volume V = 1/3 * π * 5² * 45
V = π * 25 * 15
V = 375π
How much principal must be deposited to have a balance of $2,229,
compounded semiannually at 3% for 3 years?
Answer:
2038.51
Step-by-step explanation:
Compound interest formula:
[tex]FV=PV(1+\frac{i}{n})^{n*t}\\2229=PV(1+\frac{.03}{2})^{2*3}\\2229=PV(1.093443264)\\2037.514547=PV[/tex]
Please what’s the answer will give brainliest
Answer:
8.66 cm
Step-by-step explanation:
From the diagram :
The vase of the triangle = 9.9cm - 4.9 cm = 5cm
Hence, using Pythagoras rule :
Opposite = √hypotenus² - Adjacent²
Opposite = √10²-5²
Opposite = √100 -25
Opposite= √75
= 8.66 cm
Find the value of x in the figure
(2x +5)*
(4y -1)*
(3x -33)*
A x=25
B x=36
C x=37
X x=38
Step-by-step explanation:
I hope the picture is visible
:)
Match the corresponding sides:
Answer:
EG=LN NM=GF LM=EF
Step-by-step explanation:
how do you simplify?
-4w-3(-7x+6w)+3x
Answer:
w= 9x/5
Step-by-step explanation:
Answer:
-22w+24x
Step-by-step explanation:
If there are 7 red candies in a bag of 36 colored candies, what is the probability of getting a red candy as a
percent? Round to the nearest whole percent.PLS HELP THIS IS FOR A TEST
A.19%
b. 29%
C.50%
d. 70%
Answer:
19.4% but rounded is 19%
Step-by-step explanation:
7/36 = x/100
36x = 700 (cross multiply)
36x/36 = 70036
x = 19.4444444
Help pls I’ll give extra pointz
Answer:
The answer is (A) decreases
Help plz:)))I’ll mark u Brainliest
Answer:
= 110 g AgCl
Step-by-step explanation:
NaCl + Ag(NO3) → AgCl + NaNO3
↓ ↑
mol → mol
NaCl AgCl
[tex]\frac{45 g NaCl }{} \frac{1 mol NaCl}{57.44 g NaCl} \frac{1 mol AgCl}{1 mol NaCl } \frac{143.87 g AgCl}{1 mol AgCl} == 110 g AgCl[/tex]
Due soon pls help - who ever answers get brainiest !
Answer:
D if it helps
Step-by-step explanation: