Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the parameters are given as follows:
[tex]\mu = 48, \sigma = 8, Z = -3[/tex].
Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-3 = \frac{X - 48}{8}[/tex]
X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
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Answer:
Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
Normal Probability Distribution
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
The z-score measures how many standard deviations the measure is above or below the mean.
Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the parameters are given as follows:
.
Hence:
X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
CON
Enter a range of values for x.
a
a
3x-9⁰ 93°
27
26
[?]
Enter
Answer:
3° < x < 32.538°
Step-by-step explanation:
The possible values of the angle marked with an x-expression may not be as obvious as they first seem. There is a somewhat complicated interaction between the angle value and the length of the side(s) marked 'a'.
__
We can label the vertices of the figure A through D, clockwise from the bottom.
minimum xThe minimum value of angle ACB (marked 3x-9°) is 0°. That will be its measure when AB +BC = AC, or B lies on line AC. In this case, the value of x is ...
3x -9° = 0°
3x = 9° . . . . add 9°
x = 3° . . . . . divide by 3
maximum xvalue of 'a'
The maximum value of angle ACB will be found where both triangles are isosceles: AC ≅ BC ≅ DC. The length of 'a' can be found for that case using the Law of Sines:
27/sin(93°) = a/sin(43.5°) . . . where (180° -93°)/2 = 43.5° is the base angle
a = 27×sin(43.5°)/sin(93°) ≈ 18.611
value of 3x -9°
Angle ACB will obey the same Law of Sines requirement. If z represents the base angle in isosceles triangle ABC, then we have ...
sin(z)/18.611 = sin(180-2z)/26
Recognizing that sin(180-2z) = sin(2z) and using the double-angle formula, we find ...
sin(z)/18.611 = 2sin(z)cos(z)/26
sin(z)(1/18.611 -cos(z)/13) = 0 . . . . . subtract the right side, factor
This has solutions that make the factors zero:
sin(z) = 0 ⇒ z = 0 . . . . . . an extraneous solution in this case
cos(z) = 13/18.611 ≈ 45.6925°
Then the value of x can be found from ...
3x -9° = 180° -2z ≈ 88.615°
x ≈ 3° +(88.615°/3) = 32.538°
_____
Additional comment
In the above, we have shown numerical values for the side lengths and angles in the maximum-x case. The various expressions can be combined to give ...
3(x -3°) = 180° -2(arccos(13/27×sin(93°)/sin(43.5°)))
x = 63° -2/3·arccos(13/27·sin(93°)/sin(43.5°))
if x = 5, then 3x + 4x - 15 equals = ?
Answer:
If x = 5, then 3x + 4x - 15 equals 20
Step-by-step explanation:
Here, we are given the value of x, which is 5.
1. Substitute 5 as the value of x in the equation:
3x + 4x - 15 = ?
3(5) + 4(5) - 15 = ?
15 + 20 - 15 = ?
2. Simplify:
15 + 20 - 15 = ?
35 - 15 = ?
20 = ?
3. Check your work:
3x + 4x - 15 = 20
3(5) + 4(5) - 15 = 20
15 + 20 - 15 = 20
20 = 20 ✅
Therefore, if x = 5, then 3x + 4x - 15 equals 20
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Martin takes a test that has five multiple choice questions. Each question has three possible
answers. If Martin guesses on each question, in how many different ways can he answer the
questions on the test?
Answer:
about 2/5 of the question probability lol
Lamonte and Fwam own competing taxicab companies. Both cab companies charge a one-time pickup fee for every ride, as well as a charge for each mile traveled. The equation y=2.2x+2.5 represents what Lamonte's company charges. Fwam charges a $4 pickup fee and $2.80 per mile. Use the dropdown menu and answer-blank below to form a true statement.
The cab rate model for Fwam will be given as y=2.8x+4.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Here we have an equation model for Lamonte y=2.2x+2.5 here y is the total cost and x is the distance in miles.
So here Fwam charges a $4 pick up fee and $2.80 per mile. The equation model will be:-
y=2.8x+4.
Hence cab rate model for Fwam will be given as y=2.8x+4.
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Which graph represents the polynomial function f(x)=x^3+x^2−2x
By finding the roots of the polynomial, we conclude that the correct graph is the second one.
Which is the graph of the polynomial?
Here we have the polynomial:
[tex]f(x) = x^3 + x^2 - 2x[/tex]
To identify it, we need to find the roots, we can rewrite the equation as:
[tex]f(x) = x*(x^2 + x - 2)[/tex]
And we can rewrite the last part by using the Bhaskara's formula:
[tex]x = \frac{-1 \pm \sqrt{1^2 + 4*2} }{2} \\\\x = (-1 \pm 3)/2[/tex]
Then the roots are:
x = -2
x = 1
Then we rewrite:
[tex]f(x) = x*(x + 2)*(x - 1)[/tex]
So the roots are at x = 0, x = -2, and x = 1.
The graph with these roots is the second graph (top right).
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Mr. Joe bought school supplies for his students.She spent a total of 49.50$ on 5 binders and other items. Other items cost 27$. Write a equation that repersents this, and solve.
awnser okease quicxkly
Answer:
P': (-9,10)
Q': (-2,10)
R':(-2,0)
S':(-9,0)
Answer:
the answer for all of this question should be.
P=(-9,-10)
Q=(-2,-10)
R=(-2,0)
S=(-9, 0)
so hopefully those are the correct answers and sorry if i get them wrong because i tried my best i could as possible to get them right so have a great day.
Step-by-step explanation:
Which symbol in a chemical equation separates the reactants from the products? = → >
The symbol in a chemical equation that separates the reactants from the products is →
How to determine the symbol?A chemical equation is represented as:
A + B → C + D
Where A and B are the reactants, and C and D are the products.
The symbol → links the reactants with the products
Hence, the symbol that separates the reactants from the products is →
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Answer:
→
Step-by-step explanation:
edge 2022
If each of the numbers in the following data set were multiplied by 12, what
would be the median of the data set?
28, 58, 20, 14, 18, 71, 36
Answer:
answer: 336!!
Step-by-step explanation:
have a good day!
can you help me with this
Answer:
c
Step-by-step explanation:
NEED HELP ASAP!!! What is the sum of the geometric sequence -4, 24, -144, ... if there are 8 terms?
A. -959,781
B. 29,637
C. 26,661
D. 959,780
Answer:
D
Step-by-step explanation:
the sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then
S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]
= [tex]\frac{-4(1679616-1)}{-6-1}[/tex]
= [tex]\frac{-4(1679615)}{-7}[/tex]
= [tex]\frac{-6718460}{-7}[/tex]
= 959,780
The following table shows the number of internet users in 201220122012 for the highest using countries. country china united states india japan brazil number of internet users (in millions) 568568568 254254254 152152152 101101101 100100100 find the median number of internet users. million internet users
Step-by-step explanation:
total no of items (n)= 5
median (m) = (n+1)/2 th item
= (5+1)/2 th item
= 6/2 th item
= 3rd item
= 152152152
You roll a 6-sided die.
what is p(even or factor of 45)?
write your answer as a percentage.
Answer:
p(even or factor of 45) = 100%Step-by-step explanation:
let S₁ be the set of factors of 45 that are less or equal to 6:
S₁ : {1 , 3 , 5}
let S₂ be the set of the even numbers that are less or equal to 6:
S₂ : {2 , 4 , 6}
S₁ ∪ S₂ = {1 ,2 , 3 , 4 , 5 , 6}
⇒ card(S₁ ∪ S₂) = 6
Then
p(even or factor of 45) = p(S₁ ∪ S₂) = 6/6 = 1
Therefore
p(even or factor of 45) = 100%
The city library has 763,045 books. What is the value of the digit 6 in this
number?
I tried to do this problem but I have to do something like this
Answer:
The 6 is in the ten-thousands place
Step-by-step explanation:
6 written as a ten-thousand is 60,000
help me find the value of x I will give BRAINLIEST HELP QUICK
Answer:
560
Step-by-step explanation:
If this isn't correct Im sorry I rushed it should be right but if not it should be close.
Janet can make 3/4 of a necklace in 10 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace,can janet make in 1 hour?
SHOW WORK
Answer: 2.3
Step-by-step explanation:
Janet can make 3/4 of a necklace in 10 minutes.
We need to find how many necklaces she can make in 1 hour.
1 hour = 60 minutes
We can rewrite it as:
1 hour = 3*(20 minutes)
So Janet can create three 3/4 necklaces in 1 hour
Therefore, the total necklaces Janet can make in 1 hour = 3*(3/4) = 9/4 = 2.25
To the nearest tenth of a necklace = 2.3 necklaces
Dylan bikes to his part-time job, which is 10 mi. from home. If he rides at a constant rate of 8 mph, how long will it take him to get to work? A. 1.25 hr. B. 2.6 hr. C. 4.5 hr. D. 10 hr.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
D. octagon
Step-by-step explanation:
A sewin machine makes stiches that are one eighth of acentimeter long. If the machine makes a line of 42 stiches with no gaps, how long is the line
Answer:
5.25 centimeters
Step-by-step explanation:
Simply put, each stitch is 1/8 of a centimeter long.
42 stitches would be 1/8 * 42 centimeters long.
Multiply that and we get 5.25 centimeters.
The distance from the base of the tree to the tip of the shadow is 24 feet.
Sin 20 degrees = 0.3420
Cos 20 degrees = 0.9396
Tan 20 degrees = 0.3639
————————————————————————
Which measurement is closest to the heigh of the tree?
A. 8.2
B. 8.7
C. 22.6
D. 25.54
E. 65.95
The measurement is closest to height of tree is 8.7
The correct option is (B).
What is trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations.
As the distance between base and tip of tree's shadow is 24 feet
Angle of Elevation is 20 degrees
[tex]tan \theta \; = \frac{P}{B}[/tex]
tan 20 = [tex]\frac{P}{24}[/tex]
0.3639 = [tex]\frac{P}{24}[/tex]
P= 0.3639 *24
P = 8.7336
The measurement is closest to height of tree is 8.7
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he pyramid shown below represents the Pyramid of the Moon, which is located in Teotihuacan, Mexico.
What is the volume of this pyramid?
Answer:
1156528
Step-by-step explanation:
you multiply all of the numbers to get it i think hope this helps
The following spinner has four sections. There are equal sections for 1, 4, and 3. The section for 2 is twice as large as each of the other sections. 1 2 4 3
Answer:
it would be 39t for the extra 8s
Step-by-step explanation:
Solve 2x2 + 3x − 5 = 0 by factoring.
x=1, 52
x=1, −52
x=1
x=−52
When a figure appears to have depth as you look at it, it is called _____________.
A. perspective
B. solid
C. length
D. net
Answer:
the answer would b B solid
Step-by-step explanation:
because the figure appears to have depth as you look at it so it is solid.
A student gives the answer to a probability problem as 6/5. tell why this answer must be incorrect.
Answer:
Probability of an event must be from 0 to 1.
Here,6/5 is more than 1 i.e. 1.2.
Hence,the answer is incorrect.
Which value of x solves the equation below?
10(x - 1) = 8x - 2
x = 5
X= 6
th
x=2
X= 4
Answer:
x = 4
Step-by-step explanation:
10(x - 1) = 8x - 2
10x - 10 = 8x - 2
10x = 8x + 8
2x = 8
x = 4
Write 9.30 in scientific notation
Please help :)
I’ll give brainliest to whoever comments first and gets it right!
Answer:
9.30 × 10⁰ bro that was so easy
Find f(-3) for f(x) = 4(2)^x.
ОА. 1/8
O B. -32
O C. -24
OD. 1/2
Answer:
D
Step-by-step explanation:
using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
substitute x = - 3 into f(x)
f(- 3) = 4([tex](2)^{-3}[/tex] = 4 × [tex]\frac{1}{2^{3} }[/tex] = 4 × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{2}[/tex]
Pls help will give brainilist
Answer:
3. 26 problems left
4. $69.20
Step-by-step explanation:
1. First I divided 5 into 2 to get a decimal, 0.4, and then I multiplied 0.4 to 65.
0.4 x 65 = 26
2. It said that Luke paid 2.75 for himself and 6 other friends, which is 7 people. I then multiplied 2.75 x 7 and got 19.25. I then added 19.25 to the other amount of money, and got 69.20.
49.95 + 19.25 = 69.20
Hope this helps <3
Write an equation in slope-intercept form for the line with slope 8 and y-intercept 9.
Answer:
y = 8x + 9
Step-by-step explanation:
Slope-intercept form of an equation is a fill-in-the-blank formula for writing an equation of a line. It is in the form:
y = mx + b
where m is the slope and b is the y-intercept (hence the name) In the problem slope is given, fill it in for m, next to the x. Y-intercept is given in the question also, fill it in in place of b.
y = 8x + 9