Answer:
(a) 5.48%
(b) 17.82 years
(c) 21.19%
(d) 15.21 years
Step-by-step explanation:
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
µ=12 years and σ=2.5 years.
(a) What percent of the radios will function for more than 16 years?
For x = 16
z = 16 - 12/2.5
z = 1.6
Probability value from Z-Table:
P(x<16) = 0.9452
P(x>16) = 1 - P(x<16)
1 - 0.9452
= 0.054799
Converting to percentage = 0.054799 × 100
= 5.4799%
Approximately = 5.48%
(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.
find the z score of the 99th percentile = 2.326
Hence:z = (x-μ)/σ
2.326 = x - 12/2.5
Cross Multiply
2.326 × 2.5 = x - 12
5.815 = x - 12
x = 12 + 5.815
x = 17.815
Approximately = 17.82 years
(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?
When x < 10
Hence,
z = 10 - 12/2.5
z = -0.8
Probability value from Z-Table:
P(x<10) = 0.21186
Converting to percentage
0.21186 × 100
= 21.186%
Approximately = 21.19%
(d) If 10% of the radios will function for more than X years, find X.
The z score would be : 100 - 10%
= 90th percentile z score
We find the z score of the 90th percentile = 1.282
Hence:z = (x-μ)/σ
1.282 = x - 12/2.5
Cross Multiply
1.282 × 2.5 = x - 12
3.205 = x - 12
x = 12 + 3.205
x = 15.205
Approximately = 15.21 years
what fraction is equivalent to 0.56
Answer:56/100
Step-by-step explanation:
The fraction equivalent to decimal number 0.56 is, 14/25
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
The decimal number 0.56
The equivalent fraction number = ?
For converting it into fraction,
We have to multiply and divide given number by 100
Now,
⇒ 0.56 x(100/100)
⇒ 56/100
Further, it can be solved
⇒ 28/50
⇒ 14/25
Thus, the equivalent fraction is 14/25
To know more about Fraction check:
https://brainly.com/question/8482939
#SPJ1
please help and I will mark big brain
Which of the following is the mean of the sampling distribution
What is the value of r2s for r=10 and s=2?
Hey there!
10(2)(2) 10(2) = 2020(2) = 40Thus, your answer is: 40Good luck on your assignment and enjoy your day!
~LoveYourselfFirst
Jordan was asked to convert 345,000,000 to scientific notation. His response was 34.5 x 10^7. His teacher told him he was incorrect. Explain Jordan’s mistake and determine the correct answer
Answer:
345,000,000 =3.45 x 10^8
Step-by-step explanation:
To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. This is Jordan mistake, 34.5 is greater than 10. Which is incorrect!
explanation:
you have 345,000,000
Keep moving the dot till you have 3.45
Then count how many spaces you've moved
To get to 3.45, it took you 8 moves so you would have 3.45*10^8 as your answer
What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?
Answer:
0.5
Step-by-step explanation:
Given that:
Irina measured the weight of her dog to be 13 pounds.
The greatest possible error that could have to occur will be the maximum error.
Let assume that the 13th value obtained was rounded between the range of 12.5 → 13.49 to 13 pounds
Then;
The greatest possible error that could have to occur = 13.0 - 12.5 pounds
The greatest possible error that could have to occur = 0.5 pounds
Answer:
0.5
Step-by-step explanation:
EDGE 2020 Unit Test
These two polygons are similar
y = [?]
Answer:
w = 9
x = 12
y = 5
z = 3
Step-by-step explanation:
The corresponding sides of similar polygons are proportional.
Therefore:
[tex] \frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2} [/tex]
Solve for each variable as follows:
✔️[tex] \frac{w}{3} = \frac{6}{2} [/tex]
Multiply both sides by 3
[tex] w = \frac{6}{2} \times 3 [/tex]
[tex] w = 3 \times 3 [/tex]
[tex] w = 9 [/tex]
✔️[tex] \frac{x}{4} = \frac{6}{2} [/tex]
Multiply both sides by 4
[tex] x = \frac{6}{2} \times 4 [/tex]
[tex] x = 3 \times 4 [/tex]
[tex] x = 12 [/tex]
✔️[tex] \frac{15}{y} = \frac{6}{2} [/tex]
Cross multiply
[tex] y \times 6 = 2 \times 15 [/tex]
[tex] 6y = 30 [/tex]
Divide both sides by 6
[tex] y = 5 [/tex]
✔️[tex] \frac{9}{z} = \frac{6}{2} [/tex]
Cross multiply
[tex] z \times 6 = 2 \times 9 [/tex]
[tex] 6z = 18 [/tex]
Divide both sides by 6
[tex] z = 3 [/tex]
find the sum of the series -10-5-0+......+75
ANOTHER QUESTION PLEASE HELP
Answer:
c) 4
Step-by-step explanation:
Area of a square is its length times its length, or length²
Square root of 16 is 4
find the sum for(2x−6)+4(x−3)
Answer:
6x - 18
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(2x - 6) + 4(x - 3)
Step 2: Simplify
Distribute 4: 2x - 6 + 4x - 12Combine like terms (x): 6x - 6 - 12Combine like terms (Z): 6x - 18Harry earns$12 20 per hour Monday to Friday if he works on a Sunday he owns 1.75 times hourly rate how much will Harry earn if he works for 8 hours on a Sunday
Answer:
he will make 170.80 that day
Step-by-step explanation:
12.20*1.75*8
Answer:
good question................
what is 206 divided :) 6
Answer:
if you mean 206 divided by 6 than the answer will 34.3 (rounded)
Step-by-step explanation:
I used a calculator
An $800 couch is marked up 20%. (increase) What is the new price of the couch?
Answer:
The new price of the couch is $960
Step-by-step explanation:
help please 20 points to who answers not 10 points 20
Answer:
b c and a
Step-by-step explanation:
Answer:
A, B, C
Step-by-step explanation:
How many yards long is a piece of fabric witha width of 5/8 yrd nd a area of 2 3/4 square yards?
Answer:
D. [tex] 4\frac{2}{5} [/tex]
Step-by-step explanation:
Area of fabrics = 2¾ square yards
Width of fabrics = ⅝ yard
Length of fabrics = x
Area = length * width
Therefore:
2¾ = ⅝*x
Change the mixed fraction to improper fraction
[tex] \frac{11}{4} = \frac{5x}{8} [/tex]
Cross multiply
[tex] 4*5x = 11*8 [/tex]
[tex] 20x = 88 [/tex]
Divide both sides by 20
[tex] \frac{20x}{20} = \frac{88}{20} [/tex]
[tex] x = \frac{22}{5} [/tex]
[tex] x = 4\frac{2}{5} [/tex]
[tex] length = 4\frac{2}{5} [/tex]
This is very urgent please tell me if the one that is highlighted all blue is correct or not left or right question,which is correct?
Answer:
right option
Step-by-step explanation:
I have $10 my mom gave me $30 my dad gave me $30 my aunt and uncle gave me $100 but I had another $10 so how much do I have
Answer:
$180
Step-by-step explanation:
10+30+30+100+10=180
Answer this question and I will give you brainliest and help on anything
Answer:
The answer is 27
Step-by-step explanation:
You count how many lines it takes up and add them together
Simplify: (4/3q)^4. You may assume that any variables are nonzero.
Answer:
[tex]\frac{256}{81q^{4} }[/tex]
Step-by-step explanation:
I need serious help please!
Equation of a line: given that m equals 5 and P(2,3), find the y-intercept (b), and write the equation of the line in slope intercept form
Equation of a line: given that m equals -2 and P(-4,5), find the y-intercept (b), and right equation of the line and slope intercept form
Giving P(3, -5) and Q(6,3). Find the slope of the line passing through the two points
Answer:
1. y-intercept = -7
equation: y = 5x - 7
2. y-intercept = -3
equation: y = -2x - 3
3. slope = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
slope-intercept form: y = mx + b
slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
To write an equation in slope-intercept form, you need to know the slope(m) and the y-intercept(b).
1. Given: m = 5, P(2, 3). To find the y-intercept, input the given values of m and the point into the equation format and solve for b:
y = mx + b
3 = 5(2) + b
3 = 10 + b
-7 = b
The y-intercept is -7.
Now that we know the slope and the y-intercept, we can write the equation:
y = 5x - 7
2. Given: m = -2, P(-4, 5). To find the y-intercept, input the given values of m and the point into the equation and solve for b:
y = mx + b
5 = -2(-4) + b
5 = 8 + b
-3 = b
The y-intercept is -3.
Now that we know the slope and the y-intercept, we can write the equation:
y = -2x - 3
3. Given: P(3, -5), Q(6, 3). To find the slope, input the given points into the slope formula:
(3, -5) = (x1, y1)
(6, 3) = (x2, y2)
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{3-(-5)}{6-3}[/tex]
Simplify:
3 - (-5) = 3 + 5 = 8
6 - 3 = 3
[tex]\frac{8}{3}[/tex]
The slope of the line passing through points P and Q is [tex]\frac{8}{3}[/tex].
I hope this helps. :)
Each week, Mrs.Mack buys exactly 3 5/8 pounds of cheese for her mac-and-cheese recipe. She chooses from these kinds of cheese. Mrs.Mack buys as many packages as she needs— up to three packages of any kind. What packages of cheese (and how many of each kind) does Mrs.Mack buy? 7/8pounds of american cheese. 0.5 pounds of cheddar cheese. 0.2 pounds of swiss cheese. HELP PLEASE
9514 1404 393
Answer:
3 packages of American (7/8 lb)2 packages of cheddar (1/2 lb)Step-by-step explanation:
The amount of cheese Mrs Mack needs is an odd number of eighths of a pound. So, she must buy an odd number of the 7/8 pound packages.
If she were to buy any 1/5 pound packages, she would have to buy a multiple of 5 of them so as to have an integral number of eighths. The only suitable multiple is 0.
If Mrs Mack buys 1 of the 7/8 pound packages, she cannot make up the difference with half-pound packages. She must buy 3 of the 7/8 pound packages, for a total of 2 5/8 pounds of American cheese. The remaining pound can be bought as 2 of the 1/2 pound packages.
To buy 3 5/8 pounds, Mrs Mack must purchase ...
3 packages of American cheese (7/8 lb each)
2 packages of Cheddar cheese (1/2 lb each)
Evaluate the following expression. Express your answer in simplest form.
3
16
+
5
18
1
2
5
16
10
32
Answer:
518125161348
Step-by-step explanation:
316
518125161032
-------------------------
518125161348
What is the distance between (-3,-5) and (-3, 2)?
Answer: 7 units
Step-by-step explanation:
Just plot the numbers, then count the distance between them
A square patio has an area of 182 square feet. How long is each side of the patio to the nearest tenth?
Answer:
13.5 feet
Step-by-step explanation:
Square root of 182 = 13.49
Of the last 18 trains to arrive at Kensington Station, 12 were on time. What is the experimental probability that the next train to arrive will be on time?
Answer:
6 were late taht is a step to help you
Step-by-step explanation:
I need help with this please
Grace drew a triangle with sides of equal length. Its measured with sides of 3 cm. What is the perimeter of the triangle?
Answer:
9 cm explained to
Step-by-step explanation:
explained that
Which of the following numbers is not a prime number?
A) 13
B) 17
C) 18
D) 19
E) 23
Translate to algebra:
Tom has t dollars. He buys 5 packets of gum worth d dollars each. How much money does he have left?
Answer: t - 5d
Step-by-step explanation: Since you are buying 5 and they cost d dollars you would multiply 5 by d. Then since you have t dollars as a total you subtract 5d from t so you get t -5d.
1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the
rectangle
Answer:21
Step-by-step explanation:
x=length
x(x-6)=315
x^2-6x=315
x^2-6x-315=0
(x-21)(x+15)
x=21, x=-15
x cannot be negative so the only answer is 21