Answer: Let "T" denote households with television
"I" denote households with internet
and "N" denote households with neither of these.
Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,
0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,
a)
House Probability
Nothing 0.05
Only television 0.23
Only internet 0.03
Both 0.69
b) P(internet but no television) = P(only internet) = 0.03
c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)
d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375
e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.
Step-by-step explanation:
Student Council sells bottled water at the cheerleading completion. At this rate, how many cases of bottled water would they sell in 3 hours? ________________________
Cases Sold: 3 and 6
Time (minutes): 20 and 40
Answer:
27
Step-by-step explanation:
Lets find the rate of selling:
Let v= the rate of selling, b = number of bottles of water, and t = time:
b over t gives us the [tex]v=\frac{b}{t}=\frac{3}{20}=\frac{6}{40}=0.15[/tex] rate of selling:
3 hours is 60min * 3 = 180 mins, and since v=b/t, vt=b:
(0.15) * 180 = 27 bottles of water
a) The simplest form of 20
100
is _____________.
b) The mixed fraction of 80
9
is _____________.
c) When we convert 13 5
7
to an improper fraction, we get __________.
d) In a basket of 27 mangoes, 6 are rotten. This statement can be written as a fraction
as (give the answer in the simplest form) ___________.
HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9.
[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]
Step-by-step explanation:
Given fractional expression:
(4x+3)/5 = (8x-1)/9
By doing cross multiplication, we get
⇛4x(9) + 3(9) = 8x(5) - 1(5)
⇛36x + 27 = 40x - 5
Now, combine the like terms in one side.
⇛27x - 40x = -5 + 36
⇛-13x = 31
⇛x = 31/-13 Ans.
Solve for the values of x for each of the following exponential equations and inequalities.
1. 82− = 2
3. 5 = 25−2
4. 3+2 ≥ 27
5. 43 = 8−1
Answer:
8
2−x
=2
8^{2-x}=8^{1/3}8
2−x
=8
1/3
2-x=\dfrac{1}{3}2−x=
3
1
x=\dfrac{5}{3}x=
3
5
2.
(\dfrac{1}{2})^{x}<\dfrac{1}{8}(
2
1
)
x
<
8
1
(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(
2
1
)
x
<(
2
1
)
3
x>3x>3
3.
5^x=25^{x-2}5
x
=25
x−2
25^{x/2}=25^{x-2}25
x/2
=25
x−2
\dfrac{x}{2}=x-2
2
x
=x−2
\dfrac{x}{2}=2
2
x
=2
x=4x=4
4.
3^{x+2}\geq273
x+2
≥27
3^{x+2}\geq3^33
x+2
≥3
3
x+2\geq3x+2≥3
x\geq1x≥1
5.
4^{3x}=8^{x-1}4
3x
=8
x−1
2^{6x}=2^{3x-3}2
6x
=2
3x−3
6x=3x-36x=3x−3
3x=-33x=−3
x=-1x=−1
Step-by-step explanation:
Write 1000 as a power of 10
Dave determines the meal he ordered at the restaurant contains 29% of his daily
sodium intake. If the meal contains 251 mg of sodium, how many mg of sodium are in
Dave's daily diet?
Please help I’ll give brainliest
Answer:
ITS D GOOD LUCK WITH YOUR HMK
ABC has side lengths 5 inches, 7 inches, and 10 inches.
JKL has side lengths 12
inches, 35 inches, and 37 inches. PQR has side lengths 13 inches, 10 inches, and 16
inches.
Answer: Obtuse, Right, Acute
Step-by-step explanation:
ABC: 5²+ 7² = 10²
25 + 49 = 100
c is greater so it is obtuse.
JKL: 12² + 35² = 37²
144 + 1225 = 1369
1369 = 1369
legs are equal to c so it is right.
PQR: 13² + 10² = 16²
169 + 100 + 256
269 = 256
c is less so it is acute.
Will mark as brainlist
The title of the poem, "Poetry and Prose, 'is an example of antonyms. Poetry and prose are "opposite' ways of writing.
Search the poem to find the other antonym pairs. Ust the words in the order that they appear in the poem. There are
seven more pairs. Separate each word with a comma. For example: poetry, prose.
If it isn't a poem. It's prose:
And friends cannot be foes.
A package not heavy is light.
And after the day comes night.
if it's ap. it can't be down:
The country is never a town.
When asleep we aren't awake:
To give is never to take
ah, yes, college mathematics. how riveting
poem, prose
friends, foes
heavy, light
day, night
up, down
country, town
asleep, awake
give, take
I truly commend you on your pursuit of such higher level mathematics studies. Good luck!
to the nearest 0.01cm3, what is the volume of this sphere?
Answer: Calculate the sphere volume, the volume of a spherical cap or of a hemisphere thanks to this sphere volume calculator.
The picture shows a sandwich box:
A sandwich box is shown with a right triangle side. The right triangle has hypotenuse 14 cm and base 12 cm.
What is the approximate minimum height of a shelf in which this box can fit in the position shown in the pi
Answer:
the answer is 7.2 cm
Step-by-step explanation:
14^2 is 196
12^2 is 144
196 - 144 = 52
square root of 52 = 7.2
also i did FLVS & got it right lol
Leah hangs 6 posters in a row, each 14 inches wide, on a bedroom wall. There are 4 inches between each poster. For the posters at each end, there are 3 inches between each poster and the end of the wall. What is an appropriate strategy for Leah to use to find the width of the wall?
Answer:
62 sq in of wall is covered
Step-by-step explanation:
6 x 14 = 84 -22 = 62
this is for the total
4 x 4 = 16
this is for the inches of the inside wall
2 x 3 = 6
this is for the inches of the outside wall
Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Leah must add the widths of all the places and posters to get the breadth of the wall, so the best course of action is:
Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall.
Thus, the appropriate strategy for Leah to use to find the width of the wall is Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.
Learn more about the rectangle here:
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Si el punto (5,0) está en una gráfica, żes (5,0)
la intersección con el eje y de la gráfica? Explica
Answer:
Can you put it in English pls..
Step-by-step explanation:
Please I need help I wasn’t at school today
what is the midpoint of-2,2 4,-1
please help me !!! and thank youu !
Answer:
a=-3
b=-63
c= 2
d=8
e=9
f=128
h=-21
i=24
Step-by-step explanation:
PLEASE HELP!!! ASAP: Decide whether there is enough information to prove that m || n. If so, state the theorem you would use.
Answer:
Alternative Interior Angles Converse
Step-by-step explanation:
The two angles shown in the figure above are alternate interior angles. Each is located within the two parallel lines intersected by the transversal, and they also lie on opposite side of the transversal.
The pair of angles are Alternate exterior Angle.
What are Parallel lines?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
From the Figure we can see that m is parallel to n.
and, from the property of parallel line we get the following equal angles
Vertical AnglesCorresponding AngleAlternate Interior Angle.Alternate exterior Angle.As, from the figure the pair of angles are Alternate exterior Angle.
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Can somebody help me as soon as possible?
Answer:
2400
Step-by-step explanation:
y= -300x + 2400
-300 equals the slope
2400 is the y-intercept
Equation: y = mx + b
Solve 3x + 4x = 2.
+
Answer: [tex]\frac{-2+\sqrt{10}}{3}[/tex]
Step-by-step explanation:
What single percentage change is equivalent to a 14% increase followed by a 11% decrease?
Options:
4.54% decrease
26.54% increase
4.54% increase
1.46% decrease
26.54% decrease
1.46% increase
Answer:
1.46%
Step-by-step explanation:
Pretend you have a number as a test dummy. We'll go with 100 for simplicity. A 14% increase to 100 would be 114. Then we can decrease 114 by 11%. We can find 11% of 114 with an equation like so: x/114 = 11/100. We can then cross multiply to get this" 100x = 1254, which can be simplified to x=12.54. Now, we can subtract 12.54 from 114, which will get us 101.46. Because percentage is based on 100, we can simply subtract 100 from 101.46, which gives us 1.46. So, the answer is 1.46%.
kia worked 30 hours and 15 minutes this weekend . if she makes $15.60 per hours ,how much did she make?
Answer:
$471.90 dollars
Step-by-step explanation:
First, we need to find out how many hours she's working.
There are 60 minutes in an hour so 15/60 is 0.25.
Thus, adding that to the 30 hours gives us 30.25.
If she makes $15.60 per hour we just multiply that by 30.25 hours and get the answer.
[tex]\frac{15.60}{hour}*30.25 hours = 471.9\\[/tex]
The [tex]\frac{}{hour}[/tex] comes from the wording of per hour, and since the unit is in the denominator, when we multiply it by the 30.25 hours, the units cancel out. Thus all we are left with is the amount of dollars made, which is $471.90.
prove that 4^2n + 10n − 1 is divisible by 25. [hint: binomial theorem]
Answer:
0
Step-by-step explanation:
4^2 + 10-1
16 + 10 - 1
26 - 1
25
25 divided by 25 = 0
Is 500 hrs a thing? Cause my question is: Every hour you get $10, how many hours till you get to $5,000? The answer should be 500 hrs, I don't know if that's an hour
Answer:
500 Hours
Step-by-step explanation:
Yes you are right, 500 hours is not an hour and I doubt anyone can work that much, there are only 168 hours in a single week.
If we're talking reality, it would take well over a few weeks.
If its just math then yeah you would get 500.
Either way, 500 is the right answer.
The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
the weight of the smaller fish to that of the bigger fish.
By which rule are these triangles congruent?
Answer:
S, S, S
Step-by-step explanation:
The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
(a) Show that k satisfies k^2+2k-3>0
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
To show that k satisfies k² + 2k - 3 > 0 ,the discriminant is given as Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
How to prove the expressionTo have two distinct real roots, the discriminant of the quadratic equation must be positive. The discriminant is given by;
Δ [tex]= (k - 3)^2 - 4(1)(3 - 2k) = k^2 + 2k - 3.[/tex]
For two distinct real roots, Δ > 0. So, we have k² + 2k - 3 > 0. Thus, k satisfies the inequality k² + 2k - 3 > 0.
In summary, for the quadratic equation x² + (k - 3)x + (3 - 2k) = 0 to have two distinct real roots, the value of k must satisfy the inequality k² + 2k - 3 > 0
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The path of a skateboarder can be modeled by the equation (x – 3)2 = –8(y – 8), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?
Maximum height 3 feet; horizontal distance 16 feet
Maximum height 7 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 16 feet
Answer:
Maximum height 8 feet; horizontal distance 11 feet
Step-by-step explanation:
got it right
The maximum height and horizontal distance is required.
Maximum height 8 feet; horizontal distance 16 feet
The given path is [tex](x-3)^2=-8(y-8)[/tex]
If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.
[tex](x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11[/tex]
or
[tex]x-3=-8\\\Rightarrow x=-5[/tex]
The distance between -5 and 11 is [tex]11-(-5)=16[/tex]
Middle point would be [tex]\dfrac{16}{2}=8[/tex] from [tex]-5[/tex].
[tex]-5+8=3[/tex]
So, [tex]x=3[/tex]
The maximum height will be
[tex](3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8[/tex]
The maximum height is 8 feet and the horizontal distance is 16 feet.
Learn more:
https://brainly.com/question/25227606
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HELP!! Will give brainliest
Answer:
my brother said it was
Step-by-step explanation:
1400.053...
5551-525152+62626626×552526
solve it.
Answer:
=34602838637675
Step-by-step explanation:
=−519601+(62626626)(552526)
=−519601+34602839157276
=34602838637675
Use the monthly payment formula to find the monthly payment for a $1,000, one year
loan at an APR of 7.5%
Step-by-step explanation:
The formula :
[tex]\displaystyle \rm S=A\cdot \left (1+\frac{N}{100} \right )^{\big r}[/tex]
where r is years ; N is the percentage by which we increase the price ; A is the original price
In our case :
[tex]\rm r=1 \ \ ; \ \ A=100 \ \ ; \ \ N=7,5\% \\\\ S=1000\cdot \bigg( 1+\dfrac{7,5}{100} \bigg)^1=1000\cdot 1,075=\boxed{1075\$}[/tex]
Then the monthly salary is equal to:
[tex]\dfrac{1075}{12} \approx 89,58 \$[/tex]