Answer:
0.8413 = 84.13% probability of a bulb lasting for at most 605 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 standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.
This means that [tex]\sigma = 15, \mu = 590[/tex]
Find the probability of a bulb lasting for at most 605 hours.
This is the pvalue of Z when X = 605. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{605 - 590}{15}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.
Pls help ASAP I don’t really know hot to multiply that
Answer:
1 ft=12 inches
So mulitply 57 1/2 by 12
690
Step-by-step explanation:
Answer:
690 inches
Step-by-step explanation:
12 inch = 1 foot
1/2 ft * 12in = 6in
57 * 12 = 684
690 inches
Hope I helped :]
Create an algebraic expression to solve the following problems.
a) Jeff’s cell phone plan charges him $10 per GB with no extra fees. How much will his bill be for 6 GB?
b) Marks cell phone charges him $8 per GB and a monthly fee of $15 how much will his bill be for 10 GB
c) Ricks cell phone plan charges him $5 per GB and a monthly for of $30. How much will his bill be for 2 GB?
PLEASE ANSWER PLEASE
Answer:
Step-by-step explanation:
x is the number of GB
f(x) is the cost in dollars
f(x) = 10x
Bill for 6 GB = f(6) = 60
:::::
f(x) = 8x+15
Bill for 8 GB = f(10) = 95
:::::
f(x) = 5x+30
Bill for 2 GB = f(2) = 40
Valentina buys a chandelier priced at $713. If the sales tax is 4%, how
much tax will
Valentina pay?
Answer:
$741.52 TRUSTTT
Step-by-step explanation:
Answer:
x + (tax percent out of 100)*x, which is 748.65.
Chris borrowed $2,000 from the bank. The interest rate was 3.5% for 5 years. How much does he owe the bank?
5 and 6 ............?
...........................................
Answer:
5. 25
6. 4
Step-by-step explanation:
Answer:
5) 25 6) 4
Step-by-step explanation:
The absolute value is a number's distance from zero. The square root of a number is what multiples by itself to get that number. For example 4 times 4 equals 16
Find the value of each variable
Answer:
(x - 2)² + y² = 9
Step-by-step explanation:
Can someone tell me how to do this and give me the answer please
Answer:
C. 94 Supplementary angles
Step-by-step explanation:
Which of the following is the solution to ?
Answer:
Could you add more info?
Step-by-step explanation:
Write an expression for "m decreased by 2.”
Answer:
m-2
Step-by-step explanation:
m is being subrtacted by 2
please help.
grocery store workers restock cans of soup and bags of rice at constant rates. which item was restocked at a faster rate and what is the rate? let x represent the number of minutes and y represent the total number of bags or cans
Answer:
Cans of soup are restocked at a faster rate
Step-by-step explanation:
With an equation y=mx+b, m = slope
m of rice = 12
The slope of the graph for the cans of soup is 30/2 = 15
m of soup = 15
15 is greater than 12
Find the volume of the pyramid.
I will ONLY give you a brainliest if your answer is CORRECT!
Answer:
72 cm³
Step-by-step explanation:
Volume of a triangular pyramid = a*(h/3), where a is the area of the base triangle and h is the height from the base to the highest point.
We need to first find a, the area of the bas triangle:
Area of triangle = (1/2)bh, where b is the length of the base and h is the perpendicular height.
a = (1/2)12*4
a = 6*4
a = 24 cm²
Knowing a, we can know find the volume:
Volume = a*(h/3)
= 24*(9/3)
= 24*3
= 72 cm³
Suppose you add two linear equations that form a system, and you get the result y = −2. How many solutions does the system have?
Answer:
This system will have 1 solution
Step-by-step explanation:
A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems.
Solve the system of equations by graphing
Answer:
Step-by-step explanation:
The sum of two numbers is 200 and the two numbers in a ratio of 2.3. What is the larger number
Answer:
the larger number is 120
Step-by-step explanation:
sum of number = 200
total ratio = 2 + 3 = 5
ratio 1 = 200 ÷ 5 = 40
ratio 2 = 40 × 2 = 80
ratio 3 = 40 × 3 = 120
Can someone help me with this Geometry question? Will mark Brainliest.
Answer:
2 : 5
Step-by-step explanation:
4/10 = 8.6/21.5 = 10/25 because all ratios equal 2/5
Answer:
2:5
Step-by-step explanation:
all the ratios are equal
Marina is drawing a plan for a new garden. The rectangle plotted in the coordinate plane represents the garden, measured in feet. How much soil will she need to cover the garden? 10 ft2 12 ft2 20 ft2 24 ft2
Answer:
Step-by-step explanation:
You need to upload a picture and i can answer underneath.
Usually if measured in feet then we have a scale = 1cm -1ft maybe.
so if you measure 3cm x 4cm then we have 12cm area = 12ft area if. Or if you have 2cm x 5cm = 10cm area = 10ft area if you have 4cm x 5cm = 20cm = 20ft area
etc. etc. Just make sure you say cm then ft in scale conversion.
Please help me with this (if y’all give me some bs link I’ll report :)) pls and thank you kindly
Answer:
a=8 b=3/2
Step-by-step explanation:
so here a is the initial value which 8
then we can plug in 2 for x and 18 for f(x) to find b
f(x)=8*b^x
18=8*b^2
18/8=b^2
9/4=b^2
b^2=(3/2)^2
b=3/2
Evaluate the expression. Show work.
2w + 2l when w= 4 and l=6
Answer:20
Step-by-step explanation:
2(4)+2(6)
8+12=20
Answer: 20
Step-by-step explanation:
Plug in 4 for w and 6 for I.
2(4) + 2(6) = 8 + 12 = 20
choose the equation that best describes the following graph.
please answer ASAP.
a) y=-3/2x+5
b) y=-2/3x+5
c) y=-3/2x+3 1/2
d) y=-2/3x+3 1/2
Answer:
d) y= -2/3x+3 1/2
Step-by-step explanation:
Points on the graph: ( -4, 6) and ( -7, 8)
Slope:
m=(y2-y1)/(x2-x1)
m=(8-6)/(-7+4)
m= 2/(-3)
m= -2/3
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = -2/3(x + 4)
y - 6 = -2/3x - 8/3
y = -2/3x + 3 1/2
Help me please ASAP
Answer:
m<2 = 70degrees
m<3 = 70degrees
m<4 = 110degrees
m<5 = 110degrees
m<6 = 70degrees
m<7 = 70degrees
m<8 = 110degrees
Step-by-step explanation:
A line has the angles of 180 degrees so if m<1 is 110 then m<2 must be 70degrees. Then m<4 is opposite side of m<1 so it has to be the same number of degrees and the same for m<3 is the opposite side of m<2.
You repeat the process with 5678
A company has recently been hiring new employees. Today the company has 26% more employees than it did a year ago. If there are currently 56,700 employees, how many employees did the company have a year ago?
Answer:
I am pretty sure 237
Step-by-step explanation:
The balance in Susan's checking account was $245.35. After the bank deposited interest into the account, her balance went to $248.02. How much interest did the bank pay Susan
Answer:
I think 2.67
Step-by-step explanation:
The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) = sin(t) and the speed of the tortoise is T(t) = cos(t), where t is time measured in hours and the speed is measured in miles per hour. Find the area between the curves from time t = 0 to the first time after one hour when the tortoise and hare are traveling at the same speed. What does this area represent?
a. The total distance traveled by both the hare and tortoise during that time.
b. The difference in the distance traveled by the tortoise and hare during that time.
c. The average difference in velocity between the tortoise and hare during that time.
d. The difference in velocity between the tortoise and hare during that time.
Answer:
b. The difference in the distance traveled by the tortoise and hare during that time.
Step-by-step explanation:
First the intersection points are found out on the graph. Then the area between the curves is found out.
Putting the values
H(t) = sin(t)
H(t) = sin(1) = 0.01745
T(t) = cos(t),
T(t) = cos(1)= 0.9998
As T(t) ≥ H(t)
Area is found out by taking the integral of it.
Area = Integral ( limit 0 to 0.998) T(t)-H(t) dt
The difference represents how far the turtle is from the hare.
So it represents the difference in the distance traveled by the tortoise and hare during that time.
Ashley runs around the following track. How many times must she run around the track in order to run a total distance of 4 km? measurements: 100m and 60m
Answer:
The 100-meter dash is over in a flash, but so much goes on in those 10 ... it and how the top sprinters approach the Olympics' marquee track and field event. ... time of 9.63 seconds, nearly 2.5 seconds faster than Burke ran in 1896. ... The total strides in the 100 range from 40-41 for Bolt to around 50 for the top women.
Step-by-step explanation:
Compare the dimensions of the prisms. How many times greater is the surface area of the green prism than the surface area of the blue prism?
I will ONLY give a brainliest to whoever answers the questions CORRECTLY!
Answer:
The surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
Step-by-step explanation:
The surface area of both prisms consists of six rectangles: top, base, front, back, left side and right side. In terms of surface area, top=base, front=back and left side=right side, so the total surface area for each prism is:
2(base area)+2(back area)+2(side area)
=2((base area)+(back area)+(side area))
Area of blue prism = 2((base area)+(back area)+(side area))
=2((4*2)+(4*10)+(2*10))
=2(8+40+20)
=2(68)
=136 cm²
Area of green prism = 2((base area)+(back area)+(side area))
=2((10*5)+(25*10)+(25*5))
=2(50+250+125)
=2(425)
=850 cm²
850cm² is 6.25 times greater than 136cm² (850/136=6.25), so therefore, the surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
Jorge randomly selects a digit from 0 to 9. What is the probability that the digit he selects is a prime number?
Step-by-step explanation:
{0,1,2,3,4,5,6,7,8,9}--set of numbers from 0 to 9
{2,3,5,7}---set of prime numbers from 0 tp 9
there are 10 numbers in the first set and 4 numbers in the second set.
4/9 is the probability that the digit he selects is a prime number
Hope that helps :)
A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per
year. To the nearest year, how long will it be until the value of the car is 7700 dollars?
Answer:I think 3 years
Step-by-step explanation:
sorry if im wrong
HELP ME PLEASE
Classify the triangle by its sides and angles.
-acute, scalene
-obtuse, scalene
-obtuse, isosceles
-acute, isosceles
Answer:
obtuse, scalene
Step-by-step explanation:
Answer:
obtuse,scalene
Step-by-step explanation:
it is more than 180°but less than 360°
it does not have equal sides
3, -12, 48, -192, ...
Find the common ratio for the geometric
sequence.
What percentage of the data is between 4 and 9?
A: 25
B: 50
C: 75
D: 100
Answer:
its 25% meaning A is the answer
Step-by-step explanation: