Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation if 110 hours. If exactly 95% of the bulbs die before 920 hours, find the mean lifetime if the bulbs
Answer:
The mean life time of the bulbs is approximately 739 hours
Step-by-step explanation:
Here, we want to calculate the mean life time
From the question, 95% of the bulbs die before 920 hours
What this mean is that the probability that a bulb will die before 920 hours is 95% = 95/100 = 0.95
Now, we need the z-score that is exactly equal to this value
Using the standard normal distribution table, the z-score corresponding to this probability value is 1.645
Mathematically;
z-score = (x-mean)/SD
In this case, x is 920, SD is standard deviation which is 920 hours
thus, we have it that;
1.645 = (920-mean)/110
110(1.645) = 920 - mean
180.95 = 920 - mean
mean = 920- 180.95
mean = 739.05
PLEASE IM IN CLASS PLEASE
Answer:
71.88
Step-by-step explanation:
........................
So if 9 of the 32 are women, then everybody left would be a guy. That's 32 - 9 = 23 men. To turn that into a percentage, just divide the number of men by the total amount of people in the class: 23/32 = 71.875% which rounded is 71.88%
Please help!
Jackie purchases 100 bracelets from a wholesaler at $10 each and the cost totals $1,000. If
Jackie does a markup of 40%, what will the markup amount be? What will the price of each
bracelet be?
Using proportions, it is found that:
The markup amount is of $400.The price of each bracelet is of $14.What is a proportion?A proportion is a fraction of a total amount.
In this problem, the markup is of 40% over an amount of $1000, hence:
0.4 x $1000 = $400.
Considering the markup, 100 bracelets will be sold for $1,400, hence, the price of each bracelet will be given by:
$1,400/100 = $14.
More can be learned about proportions at https://brainly.com/question/24372153
A rectangular plot of land has an area of 8/3 square miles and a length of 3/5 mile. What is the width of the plot of land? F.9/40 mi G.5/8 mi H.1 3/5 J.4 4/9
Answer:
Width = x mile = 4 4/9 mile
J.4 4/9
Step-by-step explanation:
Area of a rectangle = length × width
Area of the rectangular plot = 8/3 square miles
Length = 3/5 mile
Width = x mile
Area of a rectangle = length × width
8/3 = 3/5 * x
8/3 = 3/5x
x = 8/3 ÷ 3/5
Multiply 8/3 by the reciprocal of 3/5
x = 8/3 × 5/3
= (8*5) / (3*3)
x = 40/9
x = 4 4/9 mile
Width = x mile = 4 4/9 mile
The ratio of small dogs two big dogs at the park is 1: 3 which does not represent this ratio A. 3:9 B. 9:27 C. 2:4 D. 30:90
C(2.4) does not represent this ratio.
Answer:
2:4
Step-by-step explanation:
i did the test
PLSSSSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEEEEE
Input each points. (x,y) for each equation to find out if the system of equations are equivalent.
Point (-3,4) is a solution of this system of equations.
Point (-2,-6) isn't a solution of this system of equations.
Point (-4,3) is a solution of this system of equations.
helpp
Lily bought shares for $15 each.
When she sold the shares she made
a profit of 35%.
What price did she sell the shares for?
Answer:
profit %=35%
cp=Rs15
sp=?
profit amount =?
now,
sp=35%of cp
=35 of 15
__
100
= 5.25
again,
sp =cp + profit
=15+5.5
=20.5#
Step-by-step explanation:
hope it helps
Simplify the expression.
7x2 + 3 - 5(x^2- 4)
Answer:
2x² + 23
Step-by-step explanation:
Distribute the -5 and combine like terms.
7x² + 3 - 5(x² - 4) =
= 7x² + 3 - 5x² + 20
= 2x² + 23
A submarine started 30 feet below the surface of the water. It is now 10 feet below the surface. What integer represents the change in depth?
Answer:
-20 feet
Step-by-step explanation:
change in depth = number of feet below the surface + number of depth on the surface
Because the submarine is below surface, a value of -30 would be given
-30 + 10 = -20 feet
You flip a coin 13 times. What is the probability that you get at most 3 heads? Enter your answer as a
fraction in simplest form.
Answer:
About 23%
Step-by-step explanation:
Do 23% × 13, and it show about 3 as the answer.
El árbol del Tule es un frondoso Sabino que tiene 14 metros de diámetro
de más de 30 personas tomadas de la mano para poder rodearlo en su totalidad.
en su tronco y una circunferencia mayor de 45 metros, mismo que requiere
Cuando el angulo de inclinación del sol es de 35°, este milenario árbol
proyecta una sombra que mide 295 metros. Con estos datos, ¿es posible
conocer la altura de este icono de nuestro estado?
Which set of numbers contains only rational numbers?
Answer:
A because of the Earth or D because of you
What is the value of X
What is the value of Y
I will crown u and give you 20 extra points
Answer:
See below for answers and explanations
Step-by-step explanation:
4) 35° and x° are vertical angles, so they are congruent to each other. Therefore, x°=35°. Since y°+y°+35°=180° since they are all supplementary to each other, then y°=72.5° when solved.
5) A is true. Think of two adjacent angles measured 60° and 30° that are next to each other. They add up to 90° as well.
B isn't true. Vertical angles are congruent to each other, not supplementary.
C isn't true. The statement contradicts itself. Complementary angles add up to 90° while supplementary angles add up to 180°
help, thank youu
A: 75
B: 61
C: 48
D: 80
Answer:
The answer is C, 48
Step-by-step explanation:
Its the only answer that makes sense
Answer:
75
Step-by-step explanation:
1. Eliminate wrong answers
a. (boys 5 & girls 4) meaning the boys should have a higher number than girls (which is 60) this meaning that 48 and 61 can not be the correct answer.
5/4=x/60
x=(5/4)*60
x=75
Math rocks
Leaving it to the obvious chose(The answer is 75)
Hope this helps
is this quadrilateral a parallelogram? If yes, state the definition or theorem that justifies your answer.
Answer:
yeah its parallelogram.
quadrilateral whose diagonal bisect each other are parallelogram .
“Type your answer in the box below without units” HELPPPPP
Answer
each loaf cost $2 all you had to do was divided 24 and 12 and you get $2
Step-by-step explanation:
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answer:
rhombus
3x - 4 = 17
3x = 21
x = 7
there is no y
HELPPPP!!!! ASAPPPP!!!
Answer:
It's 110°
Step-by-step explanation:
180 +70 = 250.
360-250=110
Please help with this question.
Answer:
45 in³
Step-by-step explanation:
LxWxH = V
length x width x height = Volume
5 x 3 x 3 = 45
Answer:
45 inches
Step-by-step explanation:
A) Work out the size of angle x. B) Give reasons for your answer.
Answer:
X=105
reason beng corresponding angle
Answer:
75
Step-by-step explanation:
Use the law of cosines to find the value of X
it’s geometry, help plz
Answer:
i think its 18(DONT TRUST ME)
Step-by-step explanatioN:
6 x 3
HELP ASAP PLEASE DONT GUESS MY GRADE IS ON THE LINE jim and joan miller are customers applying for a mortgage jim and Joan Miller are borrowing 120,000 at 6.5% per annum compounded monthly for 30 years to purchase a home their monthly payment is determined to be 758.48 •a recursive formula for their balance after each monthly payment has been made •a determination of Jim and Joan balance after the first payment •determine when the balance will be below 75,000 •determine when the balance will be paid off •determine the interest expense when the loan is paid
Step-by-step explanation:
So, the account is at 0 initially; after the 1st payment made to the statement, the only balance it'd have, is the first payment amount, so namely, what's the monthly amortized cost.
Ex.: the picture
So let's do the same!
pymt: 120,000 [0.049/12/1 - (1 + 0.049/12) -12 x 20]
Hope this helped!
can I please get some help and correct me if I’m wrong with number 1 and 2
Answer:
the answer on 1. is correct
number 2. is -3 not 3
What is the surface area of the part of the cake that will have frosting? No links or I will report you. If you answer correctly I will give you the brainliest
Answer:
396 square inches
Step-by-step explanation:
First we must find the overall surface area of the cake, which will the total area of all of the faces.
The cake is a rectangular prism, meaning the faces are all rectangles and opposite faces will be identical.
As opposite faces are identical, the area of only 3 faces need to be found, and a formula can be crafted:
[tex]A = 2 (lw + wh + lh)[/tex], where l is length, w is width, and h is height.
For demonstration purposes, the length will be 12 and the width will be 15.
Substituting, we get:
[tex]A = 2 ((12)(15) + (15)(4) + (12)(4))\\A = 2(180 + 60 + 48)\\A = 2(288)\\A = 576\\[/tex]
Now, we must subtract the area that is not covered by frosting. As there is only a lack of frosting on the base, we subtract the area of the base.
[tex]A = 576 - lw\\A = 576 - (12)(15)\\A = 576 - 180\\A = 396[/tex]
Claudia invests £25000 at a rate of 2% per year compound interest.
Calculate the total amount of interest she will have earned after 5 years.
Give your answer correct to the nearest penny.
Answer:
27602.02
Step-by-step explanation:
Principal = £25,000
Rate of interest = 2% per year.
Number of years = 5 years
Formula,
=> £25000 * (1 + [tex]\frac{2}{100}[/tex] )^5
=> £25000 * 1.02^5
=> £25000 * 1.1040808
=> £27602.02
Therefore, the amount = £27602.02
Rounded to the nearest penny is £27602.02
Hope it helps :)
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm3, find the volume of the larger cylinder. (Create two proportions, set them equal to each other and solve for x)
Answer:
solution given:
similar cylinders ratio 1:3
let the ratio be 1x and 3x respectively:
according to the question:
x/3x=volume of (smaller cylinder/big cylinder)
Volume of big Cylinder=67cm³×3=201cm3
201cm³ is your answer
BRAINIEST ANSWER
FIND THE VOLUME AND ROUND TO THE NEAREST TENTH :)))
Please help
Answer: 3,150 ft.
Step-by-step explanation: multiply all sides together
Triangle ABC is isosceles with AB=CB. Circle M is inscribed in Triangle ABC such that it is tangent at points D, E, and F. If the length of BF is twice the length of CF and the perimeter of Triangle ABC is 32 inches, then determine the length of side BC in inches.
Answer:
The answer is "12 inches".
Step-by-step explanation:
Please find the image file of the graph.
We know [tex]AE = CF \ and \ EB = FB[/tex] so because the triangle is isosceles.
[tex]EB = 2x, FB = 2x,\ and \ CF = x[/tex] when [tex]AE[/tex] is called by [tex]x[/tex].
We know that [tex]AE = AD = x[/tex] since E and D are tangent points to a circle.
They have [tex]CD = CF = x[/tex] since D and F are tangent points only to circle.
Thus, if the perimeter is 32, the following is the result:
[tex]\to AE + EB + BF + FC + CD + DA = 32\\\\\to x + 2x + 2x + x + x + x = 32\\\\\to 8x = 32\\\\\to x = 4[/tex]
Therefore the length of [tex]BC = BF + FC = 2x + x = 3x = 12\ inches[/tex]
What is the length y? Round to the nearest tenth.
Answer:
y = 5.3Step-by-step explanation:
It is assumed XYZ is a right triangle.
y/10 = sin 32°y = 10 sin 32°y = 5.3