The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 520 hours. Find the probability of a bulb lasting for at most 576 hours. Round your answer to four decimal places.
Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
which rule best described the following pattern 5,6,15,16,25,26,35
-6n + 3= 45
how do you solve this
Answer:
n= -7
Step-by-step explanation:
subtract 3 from both sides,-6n=42,divide both sides by -6
Answer:
[tex]\boxed{n = - 7}[/tex]
Step-by-step explanation:
[tex] \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}[/tex]
Julie sent 200 emails last month. This month she sent 40% less. How many
emails did she send this month?
Answer:
She sent 120 emails this month.
Step-by-step explanation:
Multiply 200 by .60 (60 percent) and it will give you 120.
I used 60 instead of 40 because the problem said 40 percent less, NOT 40 percent of 200.
38,503 rounded to the nearest ten thousand
Answer:
39,000
Step-by-step explanation:
Answer:
40,000
Step-by-step explanation:
12a+c-b; a=1/3,c=5, and b=9
Answer:
Here we go in photo form
Answer: 3,635 Views.
Step-by-step explanation:
b+c=10 becomes b=10-c. c+a=12 becomes c=12-a ... an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. ... What are the values of A, B, C, D, A+B=8, B-D=5, A*C=21, and C*D=9?
I need the correct answer please!!!
Answer: 2² * 3=12 1,2,3,4,6,12.
A.
Step-by-step explanation: One such number should have 1,2,4,8,16,32 as factors. So 32 is one such number. Swapping 16 with 3,we have 2² * 3=12 1,2,3,4,6,12.
Answer:
IM JUST ANSWERING SO YOU CAN GIVE THE OTHER GUY BRAINLIEST :) UR WELCOME
oof caps
Step-by-step explanation:
Help ASAP plsssssssssssssssssssssss
Answer:
2/6
Step-by-step explanation:
There are 2 out of 3 on one half shaded so it is 2/6
Which equation represents the following word problem? Grace is making a cake. The recipe calls for 21/2 cups of flour. If she has already added 3/4 of a cup into the bowl, how much more flour will she need to add? Let x be the number of cups she needs to add.
A) x+3/4 = 22/2
B) x-3/4=27/2
C) 3/4x = 21/2
D) X/13/4)
Answer: c
Step-by-step explanation:
3/4x = 21/2
A cookie recipe for 60 cookies calls for 4 cups of flour. how much flour is needed to make 90 cookies that elevated, flat-topped landforms are shown in the above picture?
Answer:
6
Step-by-step explanation:
60/4=15
1 cup of flour=15 cookies
2 cups of flour= 30 cookies
3 cups of flour= 45 cookies
4 cups of flour= 60 cookies
5 cups of flour= 75 cookies
6 cups of flour= 90 cookies
find the midpoint of the line segment with the given endpoints (9, -8) (-10, -2)
Answer:
mid point=(-1/2,-5)
Step-by-step explanation:
Piper used 1/5 meter of ribbon to create a border around a triangle if each side of the triangle is the same length how much ribbon did Piper use for each side?
Answer:
[tex]\frac{1}{15}[/tex]
Step-by-step explanation:
as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,
let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5
[tex]x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}[/tex]
negative six plus a number
is less than or equal to fifteen
Answer:
-6+x≤15
negative six: -6
plus: +
a number: variable (I chose x)
Less than or equal to: ≤ (an inequality)
fifteen: 15
Answer:
-6 + n ≤ 15
or
n ≤ 21
Step-by-step explanation:
negative six is -6
plus a number would be a variable (I will use n) + n
is less than or equal to would be ≤
fifteen is 15
-6 + n ≤ 15
If you want to solve it, continue
-6 + n ≤ 15
+6 +6
n ≤ 21
I hope that this helps! :)
help meeeeee plsssss
Find X (Show Your Work)
WILL MARK BRAINLIEST!
Answer:
its 8 cause 2 times x is 40 40+-40= 0 so 2 times 4 is 8
Step-by-step explanation:
You can buy 5 cans of green beans at the village market for $2.30, or you can buy 10 of them at Best Food for $5.10. Which place is the better buy?
Answer:
The village market
Step-by-step explanation:
Price per can at the village market
= 2.30÷5
= $0.46
Price per can at Best Food
=5.10÷10
= $0.51
Answer:
Village market
Step-by-step explanation:
Find the unit rate at village market and Best food and compare.
Village market:
Rate per can = 2.30 ÷ 5
= $ 0.46
Best food:
Rate per can = 5.10 ÷ 10
= 0.51
0.46 < 0.51
Buying can from village market is best buy as that is less priced
PLZZ ANSWER FAST!!
Rewrite with a positive exponent.
x−4
Answer: [tex]\frac{1}{x^{4} }[/tex]
A train travels 558 miles in 3 hours. At this rate, how far does the train travel
in 6 hours?
186 miles
O 1,674
0
1,116 miles
O 18 miles
Answer:
the answer is 1,674
Step-by-step explanation:
because if 3hours in 558 miles you multiply the 3hours in 558miles and the answer is 1,674
factorise al+am+bl+bm
Step-by-step explanation:
bring the common ones together
al +bl +am +bm
l(a+b) +m(a+b)
(l+m) (a+b)
brainliest will be given if correct
Answer:
10
Step-by-step explanation:
im not sure if its correct but area is the area around the trapezoid and i added them
Pls answer this! I will give you Brainliest!!!
Answer:
angle 3
Step-by-step explanation:
because a supplementary angle is an angle that equals 180 or just a straight line.
Answer:
its the one with 2
Step-by-step explanation:
16 = 4/3 (5x+15) solve for x in the simplest form
Answer:-0.6
Step-by-step explanation:
thank me later lol
Order the math fact completion rate for each student from the fastest to the slowest.
Answer:
could you put a picture of the work so i can anwser this question
Step-by-step explanation:
please help me. i really need it
Answer:
4c+6≤−10
4c+6−6≤−10−6 ... subtract 6
4c≤−16...divide both sides by 4
final: c≤−4
5c-3>2
5c-3>2...add 3
5c>5...divide by 5
c>1
PLEASE HELP ASAP!?!?!?!?!!!?!?!?!?!?!?!
The diameter of a pizza is 13 1/4 inches what is the length in inches of the diameters of 6 pizzas?
Answer:
79.5
Step-by-step explanation:
CAN ANYONE PLZ ANSWER MY LAST QUESTION?????????!!!!!!!!!!!!!!!!
Answer:
what is the question? lol
Step-by-step explanation:
Answer:
what question ??
Step-by-step explanation:
An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?
Answer:
4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.
Step-by-step explanation:
1.5 + 2.5 = 4 ounces.
Multiply by 3
4.5 + 7.5 = 12 ounces
So, she needs 4.5 ounces of yellow.
equation 6x + 8y = 24. Determine the slope, y-intercept, and x-intercept and illustrate how you found each of these. Finally, explain what they represent in your word problem.
Answer:
slope is -6/8, y-int is 3, x-int is 4, this is found by setting the other variable to 0 and dividing -6 by 8 when you subtract 6x from the left side
Step-by-step explanation:
The slope is -3/4, y- intercept is 3 and x- intercept is 4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Equation: 6x+ 8y= 24
As, the slope intercept form is
y = mx+ b
where m is the slope, b is the y- intercept.
Now, 6x+ 8y = 24
8y = 24- 6x
y = 24/8 - 6x/8
y = 3 - 3x /4
Thus, the slope is -3/4, y- intercept is 3.
Now, for x- intercept put y= 0
0 =3- 3x/4
3= 3x/4
x= 3 (4/3)
x= 4
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Answer:
26 and 32 are the two numbers, the product is 832
If a bike is going at 26 centimeters per second how many meters per minute is she traveling?
Answer:
15.6 meters in a minute
Step-by-step explanation:
Here's why:
1 centimeter= 0.01 meter
So, if you have 26 cm, that equals 0.26 meters.
Now, we know that there are 60 seconds in a minute.
So, we have to do 0.26 times 60 which equals 15.6 meters.
I hope this helps you! :)