Answer:
1. c. 515 hours
2. c. 495 hours
Step-by-step explanation:
Sample mean:
Sum of all values in the sample divided by the number of values.
1. What is the sample mean service life for sample 2?
Sample 2 has four values, which are:
525 515 505 515
So
[tex]M = \frac{525+515+505+515}{4} = 515[/tex]
The answer is given by option C.
2. What is the mean of the sampling distribution of sample means for whenever service life is in control?
3 samples, 12 total values. We find the mean of all these values. So
[tex]M = \frac{495+500+505+500+525+515+505+515+470+480+460+470}{12} = 495[/tex]
The answer is given by option C.
Andre and Elena knew that after 28 days they would have 228 coins, but they wanted to find out how many coins that actually is. Andre wrote:
228=2⋅28=56
Elena said, “No, exponents mean repeated multiplication. It should be 28⋅28, which works out to be 784.” Do you agree with either of them? Explain your reasoning.
Answer:
no, exponents are how many times the base is used, it would be 2x2x2... so on until there are 28 2s
Step-by-step explanation:
Arrange the steps in the correct order to prove the theorem "If A and B are sets, A is uncountable, and A ⊆ B, then B is uncountable." Rank the options below.
a. Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.
b. Thus B is not countable.
c. The elements of B can be listed as b1, b2, b3
d. Therefore A is countable, contradicting the hypothesis.
Answer:
Step-by-step explanation:
We are to rank the options given in the question to correctly prove the theorem that: "If A & B are set, and A is a subset of B"
To arrange the steps in the correct order, we have:
(a) Assume that B is countable
(b) The elements of B can be listed as b1, b2, b3
(c) Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.
(d) Therefore A is countable, contradicting the hypothesis.
(e) Thus B is not countable
A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution : X~Exp (0.2)
Find the quartile 3. Round to the nearest tenth.
Answer:
The quartile 3 is 0.3
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
X~Exp (0.2)
This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]
Find the quartile 3.
The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]
Since
[tex]P(X > x) = e^{-\mu x}[/tex]
[tex]e^{-5x} = 0.25[/tex]
[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]
[tex]-5x = \ln{0.25}[/tex]
[tex]x = -\frac{\ln{0.25}}{5}[/tex]
[tex]x = 0.277[/tex]
Rounding to the nearest tenth, the quartile 3 is 0.3.
what is the value of x when h(x) x-3
Answer:
-1
Step-by-step explanation:
I did it in my review
In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, answered "none," said "one," said "two," said "three," and responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05.
P(four or more cell phones)
(Round to three decimal places as needed.)
What is the slope of a line perpendicular to a line that contains the points (-8,-4) and (0,-8)
Answer:
I hope some of these help (examples)
Step-by-step explanation:
Line AB contains points A (1, 2) and B (−2, 6) The slope of line AB is
a)zero
b)undefined
c)positive
d)negative
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?
Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is
Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are
The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).
The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are
parallel because the product of the slopes is −1
perpendicular because the product of the slopes is −1
parallel because the slopes are the same
perpendicular because the slopes are the same
Question 2
(06.02 LC)
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?
1 over 2
2
negative 1 over 2
−2
Question 3
(06.02 LC)
Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is
zero
undefined
positive
negative
Question 4
(06.02 MC)
The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).
y = 2x + 16
y = negative 1 over 2x + 17 over 2
y = − 1 over 2x + 7 over 2
y = 2x − 4
Question 5
(06.02 MC)
The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = −2x + 13
y = negative 1 over 2x + 7
y = 1 over 2x + 3
y = − 2x − 3
On the first question, the formula would be m=\frac{y2-y1}{x2-x1} and the value we got is -4/3, so D.
On the second quesiton, the slope in the given equation of the line is -2, its negative reciprocal is 1/2, so A.
On the third question, use the slope formula above and the value you would get is zero, so A.
On the fourth question, the equation of the line perpendicular to line QR is y=2x+b, to find b, just substitute the point (5,6) to the equation. That would make b = -4. the final equation of the line would be: y=2x-4, so D.
On the fifth question, the equation of the line parallel to line QR is y = -2x + b. substitute the point (4,5) to the equation, and you'll get b = 13. the final equation of the line would be y=-2x+13, so A.
D,A,A,D,A
1) Determine the slope of the line that is perpendicular to the equation below.
y = -3x + 4
Type your answer as a reduced fraction, if necessary, like this: 3/4
2) Which line is parallel to the line with this equation?
3x – 4y = 24
A) 8y-6x=32
B) 3x-5y=25
C) y=-3/4x -6
D) y+3 = 3(x-4)
3) Determine which equation is in slope-intercept form for the line that passes through (5, 0) and is perpendicular to the line below.
y = -5/2x + 6
A) y=-2/5x - 2
B) y=5/2x+2
C) y=5/2x-2
D) y=2/5x-2
4) Line 1 contains the points (6, -5) and (2, 7). Which of the given pairs of coordinates could be contained by Line 2 if Line 1 is parallel to Line 2?
HINT: Remember that two parallel lines share NO points.
A) (2,7) and (11,10)
B) (6,-5) and (-1, 3)
C) (9,8) and (6, 9)
D) (5,6) and (9, -6)
5) What value should replace the "?" to make the equations parallel?
Type your answer as a reduced fraction, using the "/" symbol to separate the numerator and denominator, like this: 2/5
y=5/3 x - 8
y=? x + 9
6)Determine whether the pair of lines is parallel, perpendicular, or neither.
y = 7x and y – 28 = 7(x – 4)
A) parallel
B) perpendicular
C) Neither
1) m=-2
2) C) y=-3/4x -6
3) D) y=2/5x-2
I hope this helps:)
solving a system of linear equations algebraically:
Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25
answer choices:
x=1
x=1.78
x=3
x=5.33
It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
A dress is on sale for 35\% off of the regular price.
If d represents the regular price of the dress, which expression represents the sale price of the dress?
A.
0.35d
B.
0.65d
C.
1.35d
D.
1.65d
PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.
The sale price of the dress is $
.
Answer:
Expression that represents the sale price of the wedding dress is
Solution:
Given that, the dress is on sale for 35 % off the regular price
Let the regular price of dress be "w"
To find: Expression that represents the sale price of the wedding dress
Let "s" be the sale price of wedding dress
Sale price = Regular price - discount price
Discount price is given as:
Discount price = 35 % of regular price
Discount price = 35 % of w
Thus discount price = 0.35w
Expression for the sale price of the wedding dress:
Sale price = Regular price - discount price
s = w - 0.35
s = 0.65
s= 0.65
Thus expression that represents the sale price of the wedding dress is
s=0.56
consider the absolute value functions c and d
which statement correctly describes these functions?
A.The maximum value of d is 5 less than the minimum value of c
B. The maximum value of d is 3 less than the maximum value of c.
C.The minimum value of d is 5 more than the maximum of c
D. The minimum value of d is 3 more than the maximum of value c.
100
400 people were surveyed
about their eye color. 8% of
the people surveyed have
green eyes. How many
people had green eyes?
Answer:
32 people
Step-by-step explanation: If there are 400 people and there is 8% of that, then first convert 8% to a decimal so its easier to work with. The multiply with 400:
0.08 * 400 = 32
Answer: 32 people have green eyes
Mrs jones uses 1/2 of a block of cheese to make packed lunches each day. how many days will 3 blocks of cheese last for?
Answer:
6 days
Step-by-step explanation:
Answer:
6 days
Step-by-step explanation:
1 day=1/2
2 day=1
3 day=1 and 1/2
4 day=2
5 day=2 and 1/2
6 day=3
hope this helps :)
If the radius is 8m, what is the diameter
Answer:
16m
Step-by-step explanation:
radius is half of diameter
please help me
( - 3 ) ( a + x ) , if a + 8, x = - 10
Answer:
6
Step-by-step explanation:
-3 x (8 + [-10]) =
-3 x (8 - 10) =
-3 x -2 =
6
HOpe that helps!
Answer: 6
Step-by-step explanation:
finding the answer from an equation
replace the values of x and a in the equation:
(-3) * ( 8 + -10)
= (-3) * (-2)
recall :
(-) * (-) = +
hence -3 * -2
= 6
Hope this helps. Can u pls give me brainliest
What is the resulting cross section if the cheesecake was sliced parallel to its points?
Answer:
Step-by-step explanation:
??What is parallel to a point?
If the cut is parallel to the cut-off point, the cross-section is a rectangle.
Can someone help me plzzzz with this math question!!!!!! “Buy one, get one free” special at T-Mobile for an iPhone 12. The cost is $1150. Calculate what you are actually paying for each item since you are getting two for one price. What is the sale price of each phone?
Answer:
$575
Step-by-step explanation
1150/2 = 575
Answer:
$1150
Step-by-step explanation:
because it is a buy one (for sale price), get one free
What is the volume of of a rectangular prism with the following measurements:
Length: 3 yd
Width: 1/2 yd
Length: 1/2 yd
A 3/4 yd cubed
B 2/3 yd. cubed
C 6/2 yd. cubed
D 6/8 yd. cubed
I will give brainleast
Answer:
b
Step-by-step explanation:
how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches
Answer:
560/9 or around 63 cubes
Step-by-step explanation:
2 2/3 -> 8/3
3 1/3 -> 10/3
2 1/3-> 7/3
7/3 x 8/3= 56/9
56/9 x 10/3 = 560/27
560/27 divided by 1/3
= 560/9
HELP WILL GIBE BRAINLIEST.
HOW MUCH IS IT FOR 1
Answer:
small is 0.018
medium is 0.016
large is 0.010
Math Which expressions represent 9 divided by the sum of 1 and 2? Check all that are true. 09/(1+2) 9+1+2 I (9 - 1) + 2 (1 + 2) = 9 09+ (1 + 2)
Answer: 9/(1+2)
Hope it helps :)
what is x +4z-5-3x, when x=2 and z=3x?
Answer:
15
Step-by-step explanation:
x=2,z=6
2+6(4)-5-3(2)
2+24-5-6
26-11
15
x = 2 & z = 3x
Solution : - ⇒x + 4z - 5 - 3x⇒(2) + 4(6) - 5 - 3(2)⇒2 + 24 - 5 - 6⇒26 - 11⇒15Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9
Answer:
I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)
Write 5x – 4y = 10 in slope-intercept form
PLEASE HELP WILL MARK BRAINLIST
Answer:
the answer for question 2 is (D)
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
Which expression is equivalent to 4(-2c) - c
-6c
8c - 1
-9c
7c + 1
I'm not good at this stuff -_-
Answer:
none of those?
Step-by-step explanation:
4(-2c) = -8c
Answer: -9c
Step-by-step explanation:
4(-2c) - c
= -8c - c
= -9c
-9c is the answer
what is the volume of a rectangular prism wi the the dimensions3 base 5/8 cm, height 2/3 cm, and length 3/4 cm?
Answer:
5/16 cm³Step-by-step explanation:
Given that the:
Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cmFind the volume of the cuboid!
Volume equation =
W × H × L =
5/8 × 2/3 × 3/4 =
(5×2×3)/(8×3×4) =
30/96 =
5/16 cm³The volume = 5/16 cubic centimetres
____________________
#IndonesianPride - kexcvi
Create a probability model for the outcome of flipping a coin 3 times. what is the probability of landing on heads at least once
a. 2/3
b. 1/2
c. 7/8
d. 1/8
Answer:
it is A.2/3
Step-by-step explanation:
A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
if the slope is 0, it is horizontal. and remember, m is the slope. (0)
Step-by-step explanation:
x is 9, y is 5.
slope intercept form is y=mx+b, so you plug in the numbers.
5= 0*9+5
or, 5=5
Ryan earns $20 for every lawn that he mows.
Which set of ordered pairs represents the relationship between the number
of lawns Ryan mows and the money he earns?
Oa. (20,1),(40,2), (60, 3) Ob.(1, 20), (2, 40), (3, 60)
Oc. (0,20), (1, 40), (2, 60) Od. (1, 20), (2, 30), (3, 40)
Answer:
A is the correct answer
Answer:
B
Step-by-step explanation:
The first number should represent the lawns, and the second should represent the money he makes on each lawn.
A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.
C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.
D is wrong because it is counting the price up by ten instead of adding 20.
B is right because every lawn is 20 more dollars, and that is what is shown.
Find the mean, median, mode, and range of the following data set.
15, 12, 19, 15, 16, 13, 15.
Mean:
Median:
Mode:
Range:
12 13 15 15 15 16 19
mean: 15
median: 15
mode: 15
range: 7
Answer:
12, 13, 15, 15, 15, 16, 19
Step-by-step explanation:
Mean: 15
Median: 15
Mode: 15
Range: 7