Answer:
The domain of a function is the set of all possible inputs for the function.
Step-by-step explanation:the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
A different car seats. One car seat designed for a child up to and including 34lb. Another car seat designed for a child between 16 lb and 40lb. A third car seat is designed a child between 34lb and 90 lb, inclusive. Model those ranges with compound inequalities . Which car seats are appropriate for a 33lb child? The inequality for a child up to and including 34 lb is what?
Answer:
the first and second car seats are appropriate for a 33 lb. child. The first seat suits children up to 34 lb. The second seat suits children that weight between 16 to 40 lb.
The only seat that is not appropriate would be the third one that is too large, since children between 34 to 90 lb. should use it.
seat 1 ≤ 34 lb ⇒ simple inequality
16 lb < seat 2 and seat 2 < 40 lb ⇒ compound inequality
34 lb < seat 3 and seat 3 ≤ 90 lb ⇒ compound inequality
The probability that Chloe is happy given that she has had dinner by 6pm is 0.9. The probability that Chloe is not happy given that she has not had dinner by 6pm is 0.8. Assume that there is a 60% chance that Chloe eats dinner by 6pm on a given day. a) If Chloe is not happy at 6pm, find the probability that she has not had dinner yet. b) If Chloe is happy at 6pm, find the probability that she has already had dinner.
Answer:
a) If Chloe is not happy at 6pm, the probability that she has not had dinner yet =P(B/D)= 0.8
b) If Chloe is happy at 6pm,the probability that she has already had dinner= P(A/C) = 0.9
Step-by-step explanation:
Let A be an event that Chloe is happy given that she has had dinner by 6pm
P(A) = 0.9
Let B be an event that Chloe is not happy given that she has not had dinner by 6pm
P(B) = 0.8.
Let C be an event that Chloe eats dinner by 6pm on a given day
P(C) = 60%=0.6
Let D be an event that Chloe does not eat dinner by 6pm on a given day
P(D) = 1- 60%=1- 0.6= 0.4
This requires conditional probability .
Part a
P(B/D)=P(B∩D)/P(D)
P(B∩D) = 0.8 *0.4=0.32
P(D) = 0.4
P(B/D)=P(B∩D)/P(D)
= 0.32/0.4= 0.8
P(B)= P(B/D)
0.8 is equal to 0.8
This shows that the events are independent.
b)
P(A/C)= P(A∩C)/ P (C) = 0.9*0.6/0.6= 0.9
Which is again equal to probability of event A showing that the events are independent.
If c + d = 16 and d = 6, what is c- d?
Answer:
4
Step-by-step explanation:
c+d=16
d=6
so c will be 10 as c+6=16
c=10
d=6
so c-d=10-6=4
hope it helps
Find a formula for the general term
an (not the partial sum) of each infinite series (with starting point of n = 1.)
4/12+1+1/22+1+4/32+1+1/42+1+................
Answer and Explanation:
Solution: For the general term of each infinite series,
n=1 and the series are:
4/12+1+1/22+1+4/32+1+1/42+1+……..
Let [4/12 +1] + [1/22 + 1] + [4/32+1] + [1/42+1] +………
Sum of infinite series= ∑n=1 [4/n+11 + 1/n] + [1/n+21 + 1/n] + [4/n+31 + 1/n] + [1/n+41 +1/n] +………..
For n=1.
Daniel bought a pokemon card at a store for $10. He sold the card for $20.
Later he bought the same card back for $30 and then sold it again for $50.
How much money did he make or lose on the pokemon card?
Answer:
Daniel gained 30 dollars.
Step-by-step explanation:
-10 + 20 = 10
10 - 30 = -20
-20 + 50 = 30
Hope this helps :)
I need help and it’s due today
Answer:
45
Step-by-step explanation:
The scale on a map says that 6 cm represents 15 km. What distance on the map in centimeters represents 20 kilometers?
Answer:
8 centimeters.
Step-by-step explanation:
[tex]6cm\ on\ map\ -> 15km\\[/tex]
Divide 3 both sides:
[tex]2cm\ on\ map\ -> 5km[/tex]
Multiply 4 on both sides:
[tex]8cm\ on\ map\ -> 20km[/tex]
8cm on the map represents 20km.
The distance of 20 Km on scale is 8 cm.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
Scale: 6cm represents 15 Km
1 cm represents 5/2 = 2.5 Km
So, the distance of 20 Km is represented by
= 20/ 2.5
= 8 cm
Hence, the distance on scale is 8 cm.
Learn more about Scale here:
https://brainly.com/question/29464385
#SPJ2
4. At 7:30 a.m., the temperature in Cloud City was - 22°F. By 8:45 a.m., the temperature had risen 37 degrees. What was the temperature at 8:45 a.m.? At 8:45 a.m., the temperature was [3°F .
Answer:
15°F
Step-by-step explanation:
What is nine divided by five and one fourths
9 ÷ 5 1/4 = 36/21
Simplify
36/21 = 12/7 = 1 5/7
how to find these answers?
Answer:
21.) 50°
22.) 135°
23.) 37°
24.) 100°
25.) 105°
26.) 60°
Step-by-step explanation:
Please help (word problem)
Answer:[tex]2s^{2} +11s+15[/tex]
Step-by-step explanation:
lenght of the pool = 2s+5
width of the pool= s+3
Area= [tex]l*w[/tex]
Just substitute the l and w
Area= [tex](2s+5)(s+3)[/tex]
=[tex]2s^{2}+5s+6s+15[/tex]
=[tex]2s^{2} +11s+15[/tex]
help asappp giving brainlist
−10= -0.8x+1.8(-4x+1)-7
Answer X= 0.6
Step-by-step explanation:
Rewrite the expression 7 to the -2 power
Answer:
1/49
Step-by-step explanation:
7^-2
1/49
7^2 is usually 49 for negative exponents just flip it
Answer:
(7)^-2
Step-by-step explanation:
hope this helps
CAN SOMEONE PLEASE HELP ME !! ^^^^^^
I'll do problem 1 to get you started.
Answers are in bold
1a) Point B. This point is the "hinge" so to speak of the angle 4. Or you can think of the angle as a pair of scissors. Point B is the vertex where the two metal parts meet up.1b) There are two sides to angle 1 and they are BD and BC which form the angle in question. 1c) Angle DBE or Angle EBD are two different ways to relabel angle 5. The order doesn't matter as long as point B is at the center which is where the vertex point is always located.1d) Angle FBC = Either a Right angle or Obtuse angle (it's not clear), Angle EBF = Obtuse angle, Angle ABC = Straight angle1e) Segment EB or BE is an angle bisector. It cuts angle ABD into two equal parts (angle 4 and angle 5 are shown to be congruent through the similar angle markers)1f) Angle EBC = 144 degrees since we simply add the two smaller angle pieces to get the larger angle we want. This works because the two smaller angles are adjacent and form the larger angle.1g) I'm not sure what to do with this one. It seems like info is missing.Which of the following relations are functions?
f={(1,2),(2,3),(3,5),(4,7)}
g={(1,3),(1,4),(2,5),(2,6),(3,7)}
h={(1,3),(2,6),(3,9),•••,(n,3n),•••}
The sum of three consecutive natural numbers is 540, find the numbers.
Answer:
179, 180, 181
Step-by-step explanation:
a +a +1 +a +2 =540
3a +3 =540
3a =540 - 3
3a=537
a=537 :3
a=179 (the first number
b=179 +1 =180 (the second number
c=179 +2 =181 (the third number
simplify radical 150 = ________
there are 54 new houses built in a neighborhood. Last month, 1/3 of them were sold. This month, 5/6 of the remaining houses were sold. How many houses are left to be sold?
Answer:
Total houses = 54
House sold last month = 1/3 * 54 = 18
Remaining houses = 54-18 = 36
Houses sold this month = 5/6* 36 = 30 houses
House left to be sold = 36 - 30 = 6 houses
How to simplify 27/63
Answer:
3/7
Step-by-step explanation:
We do this by first finding the greatest common factor of 27 and 63, which is 9.
Then, we divide both 27 and 63 by the greatest common factor to get the following simplified fraction: 3/7
hope this helps plz mark brainilest
Answer:
0.42857142857
Step-by-step explanation:
Winston put 3600 in a bank account that pays 3.4% over a 6 year period. How is the amount of simple interest will he earn? remember i = p r t
Answer:
3600 x 3.4=122.4 122.4 x 6=Answer
Step-by-step explanation:
What is 16/6 as a decimal?
Affirmative action commitments by many organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that at least one woman is selected
Answer:
2/3
Step-by-step explanation:
We solve with combination formula
C(n, r) = nCr = n!/r!( n - r)!
The selection will happen between four women and six men
Total number of people = Total number of possibly outcomes = Four women + six men
= 10 people
This can happen in two ways
a) 2 women
b) 1 man and 1 woman
The probability that at least one woman is selected =
4C2 ×(6C1 + 4C1)÷ 2 ways / 10C2
[6 × (6+ 4)] ÷ 2 / 45
= (6 × 10) ÷ 2/45
= 30/45
= 2/3
What is the translation for this graph? O (X-4, Y-3)
O (X-3. y - 4)
O (X-3. y. 4)
O (X- 4. y-3)
Answer:
wow dis might take a while to solve
Order from least to greatest .9, 8/9, .86
Answer:
least to greatest
.86, 8/9, .9
Answer:
.86,8/9,9 ttttttttttttttttttftfffff
-4x+7=11 HELPP! pleaseeee
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]-4x+7=11[/tex]
Subtract 7 from both sides:
[tex]-4x+7-7=11-7[/tex]
[tex]-4x=4[/tex]
Divide both sides by -4:
[tex]\frac{-4x}{-4}=\frac{4}{-4}[/tex]
[tex]x=-1[/tex]
People like having guinea pigs as pets. If a guinea pig can run 14.45 miles in 3.5 hours, then how far can it travel in one hour?
Answer:
4.13 miles
Step-by-step explanation:
i believe
Answer:
4.1285714286
Step-by-step explanation:
Ted is looking over his spending pattern for the past week to try to determine how much money he had on Sunday. This is Ted's spending pattern: Day Debit ($) Credit ($) Monday 112 --- Tuesday 141 18 Wednesday 56 --- Thursday 28 70 Friday 22 42 Saturday 16 88 If the bank charges Ted an overdraft fee of $25 every time he overdraws his account, and Ted overdrew his account on Wednesday but not on Friday, which of the following is a possible amount of money that Ted could have had in his account last Sunday? Assume that the only debits and credits not listed are overdraft fees. a. $300 b. $280 c. $240 d. $200
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
where is the result of -5+3 located in a number line?
Answer:
-2 is found to the left of the origin (0), in a more specific way, -2 is 2 down to the left of zero.
Step-by-step explanation:
find the first three terms of the sequence with nth term 2n+4
Answer:
To find out the first three terms of 2n + 4 substitute 1 ,2 and 3 into the equation.
2(1)+4=2+4=6
2(2)+4=4+4=8
2(3)+4=6+4=10
As you can see the sequence goes up in 3s 6 ,8, 10 To find out the 9th term you also substitute 9 into the equation so
2(9)+4=18+4=22
Hope this helped!
Solve: 2x + 27 = 3x - 9
x = 36
Step-by-step explanation:2x + 27 = 3x - 9
27 + 9 = 3x - 2x
x = 36
Answer:
ok
Step-by-step explanation: