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 value of x when h(x) x-3
Answer:
-1
Step-by-step explanation:
I did it in my review
What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD
HELPPPPPPP
Answer:
PAMDAS
Step-by-step explanation:
PEMDAS
hope it 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
Which equation is true for the value x = 15?
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15
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.
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
Find the value of k that makes the function continuous
Answer:
13/3
OR
4.33333
Step-by-step explanation:
For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.
To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction
2x^2 - 3 -15
2x^2 - 18
2* (x^2 - 9)
2 * (x + 3) (x - 3)
this is perfect because this cancels out the x - 3 on the bottom
so the function become f(x) = 2 * (x + 3)
When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12
Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.
k*(3) - 1 = 12
k*3 = 13
k = 13/3
k = 4.33
Write 5x – 4y = 10 in slope-intercept form
Find the value of x 116 degrees and 33 degrees
Answer:
x = 31 degrees
Step-by-step explanation:
This is a triangle because there are 3 angles so they all add up to 180 degrees.
116 + 33 + x + 180 Add 116 and 33
149 + x = 180 subtract both sides by 149
x = 31
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard
Answer:
32%
Step-by-step explanation:
Let x be the mean of the values and σ their standard deviation.
Since the minimum value of the diameter of the washers is 1.53 mm, then
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+
x + σ = 1.65 mm
2x = 3.18
x = 3.18/2
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
-
x + σ = 1.65 mm
-2σ = -0.12
σ = -0.12/-2
σ = 0.06 mm
Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%
This question is based on the percentage. Thus, 32% of washers will the factory have to discard.
Given:
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.
We need to determined the percentage of washers will the factory have to discard.
According to question,
Let x be the mean and σ be their standard deviation.
The minimum value of the diameter of the washers is 1.53 mm.
Then,
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+ x + σ = 1.65 mm
⇒ 2x = 3.18
We get,
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
- x + σ = 1.65 mm
⇒ -2σ = -0.12
We get,
σ = 0.06 mm
Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.
And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.
Thus, 32% of washers will the factory have to discard.
For more details, prefer this link:
https://brainly.com/question/13703753
URGENT PLZ HELP
Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
Step-by-step explanation:
This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.
X+114=111
add negative -114 to each side to get X alone.
-114+X+114= 111+-114
X=-3 . Answer negative 3
If the radius is 8m, what is the diameter
Answer:
16m
Step-by-step explanation:
radius is half of diameter
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
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:
PLS HELP I WILL GIVE BRAINLYEST
Answer:
hey
Step-by-step explanation:
pls help me then i help u
hey so i need help on my khan so please please please help
Answer:
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
Which 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 :)
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 :)
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
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
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
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 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
The rate of change of y is proportional to y. When t=0, y=4, and when t=2, y=8. What is the value of y when t=3?
Answer:
When t = 3, y = 12. y = 4t, for t>0
Step-by-step explanation:
8 = 4 x 2; y = 4 x 3 = 12.
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 :)
5 1/3 + (2 2/3 + 1 1/3)
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 )
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.