Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
x^2 + 5^2 = 13^2
x^2 + 25 = 169
x^2 = 144
---> x = 12
Related Questions
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours. Find the probability of a bulb lasting for at most 605 hours. Round your answer to four decimal places.
Answers
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.
What is the value of 6 in the number 762
Answers
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Hi,
Since the 6 is in the tenths place, it's a 60.
I hope this helps :)
I will give BRAINLIST Solve the quadratic function by factoring.
2x^2+7x-4=0
Someone please help I will give BRAINLIST please show work I need this for my test
Answers
x-4=0
2x+1=0
X= -1/2 , 4
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
A dealer buys articles for R7500 and makes the price 30% higher.
What is the selling price of the articles?
Answers
Answer:
9750
Step-by-step explanation:
profit amount = 30% of R 7500
= 30/100 *R 7500
= 2250
now
sp = R 7500 + R 2250
= R 9750
Paige only needs to sell to 17 more customers to receive a bonus. She works part time, so she only talks to 50 customers per day. With a sales ratio of 1:9, on which day will Paige qualify for a bonus?
Answers
Answer:
Paige will qualify for a bonus on her 4th day of work.
Step-by-step explanation:
50 customers per day
needs to sell to 17
Ratio = 1:9
1:9
×17 ×17
17:153
Paige needs to see 153 customers.
153 ÷ 50 = 3.06 ≈ 4 (As the answer is not asking for the exact number of the day you round up to make a whole day without underestimating)
So, Paige will qualify for a bonus on her 4th day of work.
A lab orders a number of chemicals from the same supplier every 10 days. The lead time is six days. The manager of the lab must determine how much of one of these chemicals to order. Check of stock reviewed that 9 25-milliliter (ml) jars are on hand. Daily usage of the chemical is appropriately normal with a mean of 16 ml per day and a standard deviation of 3.5 ml per day. The desired service level for this chemical is 95%. a) How many jars of the chemical should he ordered
Answers
Answer:
3 jars of the chemical should be ordered
Step-by-step explanation:
Given the data in the question;
Ol = 10 days
d = 16 ml
z = 1.65 at 95% service level
σ = 3.5 ml
Check of stock reviewed that 9 of 25-milliliter (ml) jars are on hand
so inventory in position = 9 × 25 = 225 ml
now,
since this is a fixed-order-internal system;
first we determine our Target inventory
Target inventory = 16 × ( 10 + 6) + 1.65√( 10 + 6 ) × 3.5
Target inventory = 265 + 23.1
Target inventory = 288.1
so
Amount to order = Target inventory - inventory in position
Amount to order = 288.1 - 225 = 63.1 ml
∴ number of jars to order will be;
⇒ 63.1 ml/ 25 ml = 2.5 { approximately 3 jars }
Therefore, 3 jars of the chemical should be ordered
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2
Answers
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.
Please help me out with this question
Answers
Answer:
43200
Step-by-step explanation:
2(60*80)
2(80*120)
2(60*120)
add that up
Answer:
43,200
Step-by-step explanation:
I used a surface area calculator, but the formula it gives is
A (2wl+hl+hw), w is width, h is height and l is length. Hope this helps!
Question 4
Which expression represents f-(x) if f(x) = 11 – 10x ?
Answers
Answer:
hhuhhuhhhuhh
Step-by-step explanation:
Need help please and thank you
Answers
Answer:
B is your answer
Step-by-step explanation:
there is none but GOOD LUCK
BEEN ASKING FIR AN HOUR: A rectangle's length is 3 feet shorter than 4 times the width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.
Answers
Answer:
Step-by-step explanation:
w is the width of the rectangle, then the length would be 4w - 3.
A = lw
A = w(4w -3)
A =4w² - 3w
Hope this helped!!!
can anyone answer these? it would be appreciated:)
Answers
Answer:
Step-by-step explanation:
_____ ÷ r × r = p
be fast :) easy point for who ever get it
Answers
Answer:
p
Step-by-step explanation:
lol question unclear
Answer:
p
Step-by-step explanation:
if you divide a number by a number and then multiply that same number by that number it is 1. so it is just __=p
Hope that helps :)
a clothing manufacturer makes coats, shirts and slacks. The time required for The Cutting, sewing, and packaging on each item is shown in the table. How many of each should be made to use all available labor hours?
Answers
9514 1404 393
Answer:
120 coats, 200 shirts, 180 slacks
Step-by-step explanation:
If we let c, s, p represent quantities of coats, shirts, pants, respectively, then the total number of minutes required for cutting, sewing, and packaging can be expressed by ...
20c +15s +10p = 7200
60c +30s +24p = 17520
5c +12s +6p = 4080
These equations can be written in "augmented matrix" form and submitted to your friendly local matrix solver (online or on your calculator). You would ask for "reduced row-echelon form". The calculator function that accomplishes this is often called RREF. The matrix and result are ...
[tex]\left[\begin{array}{ccc|c}20&15&10&7200\\60&30&24&17520\\5&12&6&4080\end{array}\right]\rightarrow \left[\begin{array}{ccc|c}1&0&0&120\\0&1&0&200\\0&0&1&180\end{array}\right][/tex]
This means production should be of ...
120 coats, 200 shirts, 180 slacks
K
Given that m_JKL = 94º, m_KL) = 41°, and the radius of the circle is 10 units, find s, rounded to the nearest hundredth.
units
S=
Reset
Next
tum. All rights reserved.
1
Answers
Step-by-step explanation:
angle j + angle JKL + angle KLJ = 180(sum of angles in a triangle)
[tex]j + 94 + 41 = 180 \\ j + 135 = 180 \\ j = 180 - 135 \\ = 45[/tex]
Arc Length s =
given r = 10 units,
[tex] = (\frac{j}{360} ) \times 2\pi \: r \\ = ( \frac{45}{360} ) \times 2\pi(10) \\ = 0.125 \times 20\pi \\ = 2.5\pi \\ = 7.85units(nearest \: hundredth)[/tex]
Answer:
7.85 units
Hope this helped and have a good day :D
ASAP PLEASE!!!!!!!!!
A graphic designer draws an image of a house on the computer. In the real world, the house is 30 feet high. On the computer screen, the house appears 4 inches high. What scale factor did the designer apply to the height of the house when creating the drawing? One foot is the same as 12 inches.
Choices:
A.1 to 30
B.1 to 90
C.1 to 40
D.1 to 120
Answers
How much money would you have to invest at 9% compounded semiannually so that the total investment has a value of $2,090 after one year?
Answers
Answer:
Im just doing this for points .,.
Step-by-step explanation:
Help please (50 point) sorry hhh
Answers
Answer:
7.5
Step-by-step explanation:
The actual fraction is 15/2, which is equivlent to 7.5
Im pretty sure its infinite solutions
solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x
Answers
Answer:
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
Answer:x=π/6,11π/6
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
Please help me find the surface area!
Answers
Answer: question 9 COULD be 240 and 12. might be 2880
Step-by-step explanation:
Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married.
Choose the best description.
a. All U.S. adults
b. The 1,501 U.S. adults referred to in this problem
c. The 1,126 U.S. adults referred to in this problem
d. All U.S. adults who believe it is more enjoyable to be married than single
Answers
Answer:
D. all U.S adults who believe it is more enjoyable to be married than single
Step-by-step explanation:
Sana nakatulong
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121
Answers
Answer:
121
Step-by-step explanation:121 ! just got it right.
Answer:
D)
Step-by-step explanation:
on edge
graphing sucks
ugh. but anyway does anybody know how to graph using only an equation? please explain thoroughly. PLEASE SAVE MY LIFE!
Answers
- you can substitue x and y for 1, or 0 and graph each point
- use desmos and copy it
- depending on the type of equation find the x-intercept, y-intercept, vertex and then draw a line between them
shin godzilla vs zilla
Answers
Answer:
I'd say zilla
Step-by-step explanation:
shin Godzilla would win because here is one scenario Zilla jumps on his back biting him then Shin Godzilla shoots his back beams killing him. plus Zilla shots only fire not any of the radiation things
During trimester 2 the math team gave 4 product assignments. The 4 scores were a 50, 90, 62, and 63.
What was the median score of the product assignments?
What was the average score of the product assignments?
Answers
Answer:
median = 62.5, average = 66.25
Step-by-step explanation:
50, 90 , 62 and 63
median = 50 , 62, 63, 90
62 + 63 / 2
125/2
median = 62.5
average = 50 + 90 + 62 + 63 /4
=265/4
average = 66.25
Select the measures that are equal. Select all that apply.pls help me i beg you
Answers
student were asked to choose their favorite subject if 4/8 of the student chose history and 3/8 chose biology what fraction chose either history or biology
Answers
Answer:
7/8
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
The blue segment below is a radius of oo. What is the length of the diameter of the circle?
Answers
Answer:
Diameter = 25.4 unitsStep-by-step explanation:
radius = 12.7
Diameter = 2 × radius
= 2 × 12.7
= 25.4 units
Step:
Length of diameter = 2* radius = 2*12.7= 25.4
Starting point (1, 4) Show me the new coordinates of the point (1, 4) after it is:
Reflected over the line y = x.
Reflected over the line y = −x.
Rotated through 90°clockwise about the origin.
Rotated through 90°counterclockwise about the origin
Answers
Step-by-step explanation:
Reflected over the line y=x is (4,1)
Reflected over the line y=-x is (-4,-1)
Rotated through 90 clockwise about the origin is (4,-1)
Rotated through 90 counterclockwise about the origin is(-4,1)