Please help I'll mark brainliest
Answer:
okay...... where is the question
Find the 7th term in the following sequence (n = 7)
f(n) = 5 + 8(n-1)
Also, for this question, state what a1 is (first term) and the common difference (a2 - a1).
Answer:
see explanation
Step-by-step explanation:
Substitute n = 7 into f(n)
f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53
f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence
f(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
By comparison, then
a₁ = 5 and common difference d = 8
Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG indicate that the first two children born are boys and the third child is a girl, let GBG indicate that the first and third children born are girls and the second is a boy, and so forth. (a) Use set-roster notation to describe the elements in the sample space whose outcomes are all possible genders of the three children. (b) Write each of the following events as a set, in set-roster notation, and find its probability. (i) the event that exactly one child is a girl set probability (ii) the event that at least two children are girls set probability (iii) the event that no child is a girl set probability
Answer:
(a)
[tex]S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}[/tex]
(b)
i.
[tex]1\ girl = \{GBB, BBG, BGB\}[/tex]
[tex]P(1\ girl) = 0.375[/tex]
ii.
[tex]Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}[/tex]
[tex]P(Atleast\ 2 \ girls) = 0.5[/tex]
iii.
[tex]No\ girl = \{BBB\}[/tex]
[tex]P(No\ girl) = 0.125[/tex]
Step-by-step explanation:
Given
[tex]Children = 3[/tex]
[tex]B = Boys[/tex]
[tex]G = Girls[/tex]
Solving (a): List all possible elements using set-roster notation.
The possible elements are:
[tex]S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}[/tex]
And the number of elements are:
[tex]n(S) = 8[/tex]
Solving (bi) Exactly 1 girl
From the list of possible elements, we have:
[tex]1\ girl = \{GBB, BBG, BGB\}[/tex]
And the number of the list is;
[tex]n(1\ girl) = 3[/tex]
The probability is calculated as;
[tex]P(1\ girl) = \frac{n(1\ girl)}{n(S)}[/tex]
[tex]P(1\ girl) = \frac{3}{8}[/tex]
[tex]P(1\ girl) = 0.375[/tex]
Solving (bi) At least 2 are girls
From the list of possible elements, we have:
[tex]Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}[/tex]
And the number of the list is;
[tex]n(Atleast\ 2 \ girls) = 4[/tex]
The probability is calculated as;
[tex]P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}[/tex]
[tex]P(Atleast\ 2 \ girls) = \frac{4}{8}[/tex]
[tex]P(Atleast\ 2 \ girls) = 0.5[/tex]
Solving (biii) No girl
From the list of possible elements, we have:
[tex]No\ girl = \{BBB\}[/tex]
And the number of the list is;
[tex]n(No\ girl) = 1[/tex]
The probability is calculated as;
[tex]P(No\ girl) = \frac{n(No\ girl)}{n(S)}[/tex]
[tex]P(No\ girl) = \frac{1}{8}[/tex]
[tex]P(No\ girl) = 0.125[/tex]
5 times the quantity y - 2
Answer:
5y - 10
Step-by-step explanation:
We require to find
5(y - 2) ← multiply each term in the parenthesis by 5
= 5y - 10
A hot liquid is placed in a refrigerator to quickly cool down. The temperature of the liquid can be modeled with the exponential function T=a(b)^m where m is the number of minutes it has been cooling. Based on the graph below, which of the following is closest to the value b for this model?
1) b=0.65
2)b=0.84
3)b=1.28
4)b=2.17
Answer:
This is 3
Step-by-step explanation:
PLS HELP
A jewelry company purchases a necklace for $24. If they mark it up 36% to sell it at their store, what is the selling price of the necklace? (If necessary, round to the hundredths)
Answer:
I believe the answer would be 32.64
Step-by-step explanation:
$24 x 36% = 8.64
8.64 + 24 = $32.64
The schoolyard at Kenny's school is a square that is 50 yards long on each side. What is the area of the schoolyard?
Answer:
100
Step-by-step explanation:
Answer:
100 plz thank me later have a grate day love you all
is it true or false that The adjacent is the shortest side on a right triangle.
7x + 2y - 3 = 0 in slope intercept form.
Answer:
y=(-7/2)x+3
Step-by-step explanation:
7x+2y-3=0
7x+2y=3
2y=-7x+3
y=(-7/2)x+3
Answer:
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )
2y = - 7x + 3 ( divide each term by 2 )
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form
Can u answer this? respond please
Please also include an explanation, I'd appreciate it :-)
Answer:
[tex]30ft[/tex]
Step-by-step explanation:
So, since the scale is 1:5, 1 ft is actually 5 feet.
[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]
Which statement is true about the lines 3−2=27 3 y - 2 x = 27 and 4−2=36 4 y - 2 x = 36 ?
The two lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel to each other because their slopes (i.e., -2/3 and -2/4) are equal.
What are parallel lines?Parallel lines are lines in a plane that do not intersect and are always the same distance apart. They have the same slope and will never meet, regardless of how far they are extended.
Therefore, the correct answer is as given above. It can be concluded that lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel lines to each other for their slopes (i.e., -2/3 and -2/4) are the same.
learn more about parallel lines: https://brainly.com/question/24607467
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The complete question goes thus:
Which statement is true about the lines 3−2=27 3 y - 2 x = 27 and 4−2=36 4 y - 2 x = 36 ?
A. lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel to each other
B. lines 3 y - 2 x = 27 and 4−2=36 are inequalities
C. lines 3−2=27 and 3 y - 2 x = 27 are the same
D. all lines are equal
Please help me!! (Look at the photo)
Answer:
310in
Step-by-step explanation:
7×10=70
70×2=140(there are two that are the same length)
5×10=50
50×2=100(there are two that are the same length)
5×7=35
35×2=70(there are two that are the same length)
70+100=170
170+140=310
please let me know if it's correct
Neil has 3 partially full cans of white paint. They contian 1/3 gallon, 1/5 gallon and 1/2 gallon of paint. About how much paint does neil have
Answer:
1 1/30 gallon
Step-by-step explanation:
Can A = 1/3 gallon
Can B = 1/5 gallon
Can C = 1/2 gallon
Total paint Neil has = Can A + Can B + Can C
= 1/3 + 1/5 + 1/2
The lowest common multiple of 3, 5 and 2 is 30
= (10+6+15) / 30
= 31/30
= 1 1/30 gallon of paint
Neil has a total of 1 1/30 gallon of paint
when should you record the information about a check that you wrote in your resister?
Answer:
At least once a month you should check your personal information, including your email and phone number, to make sure those things are up to date. Also, you may want to change your mobile and online banking password every three to four months.
hi whats th median price of the items for 9.00 8.00 8.00 7.00 6.00
Answer:
8.00
Step-by-step explanation:
to find the median, you have to order all your numbers from least to greatest (6.00, 7.00, 8.00, 8.00, 9.00) then find the number in the MIDDLE. that number would be 8.00 so therefore the median is 8.00.
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Fwam sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 417 visitors purchased no costume. 63 visitors purchased exactly one costume. 7 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no costume as a decimal to the nearest hundredth.
Answer:
0.86
Step-by-step explanation:
The probability that the next person will purchase no costume is 36%.
What is probability ?To express the probability that the next person will purchase no costume as a percent to the nearest whole number, we will use the total number of visitors to the website as the denominator and the number of visitors who purchased no costume as the numerator.
The total number of visitors to the website,
168 + 252 + 47 = 467
The number of visitors who purchased no costume = 168.
So, the probability that the next person will purchase no costume is:
168/467 = 0.360
0.3609 × 100
= 36.09
Rounding this to the nearest whole number, we get,
36%
Learn more about probability here:
brainly.com/question/14099682
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8th grade math simple help
Answer:
1) x = 30
2) x = 11.6
Step-by-step explanation:
1) 2x = 4x - 60 (vertical angles are equal)
subtract 4x from each side of the equation:
-2x = - 60
divide both sides by -2:
x = 30
2) 7x + 16 + 3x + 48 = 180° (supplementary angles add up to 180°)
combine like terms:
10x + 64 = 180
subtract 64 from both sides of the equation:
10x = 116
divide both sides by 10:
x = 11.6
Find the value of y when x= 7.
y=-4x
Answer:
y = -28
Step-by-step explanation:
y=-4x
Let x=7
y = -4*7
y = -28
can someone help please ):
Answer:
A function is a relation that maps elements from one set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs). Such that each element of the domain can be mapped into only one element of the range.
Now let's analyze the given relations.
1)
Here we can see that the inputs are -3, -1, 1, and 2.
Then the domain (the set of the inputs) is:
D = {-3, -1, 1, 2}
And we can see that the outputs are 0, 2, and 5.
Then the range is:
R = {0, 2, 5}
We also can see that each input is being mapped into only one output, then this relation is a function.
2) In this case the inputs are -2, -3, and 5.
Then the domain is:
D = {-2, -3, 5}
And the outputs are 6, 7, 8
Then the range is:
R = {6, 7, 8}
And we can see that each input is mapped into only one output, then this relation is a function.
3) In this case we can see that the inputs are -4, -2, and 0
Then the domain is:
D = {-4, -2, 0}
And we can see that the outputs are -2, -1, 3, and 4.
Then the range is:
R = {-2, -1, 3, 4}
In this case, we can see that the input -4 is being mapped into two different outputs (3 and -1)
Then this relation is not a function.
Shopping at Savers Mart, Lisa buys her children 4 shirts and 3 pairs of pants for $85.50. She returns the next day and buys 3 shirts and 5 pairs of pants for $115.00. What is the price of each shirt and each pair of pants.
Answer:
price for one shirt
=
$
7.50
price for one pair of pants
=
$
18.50
Explanation:
Start by letting variables
x
and
y
represent the pieces of clothing from the problem.
Let
x
be the price of one shirt.
Let
y
be the price of one pair of pants.
Equation
1
:
4
x
+
3
y
=
85.50
Equation
2
:
3
x
+
5
y
=
115.00
You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for
y
, the price of each pair of pants.
To isolate for
y
, we must eliminate
x
. We can do this by making the two equations have the same
x
values. First, we find the LCM of
4
and
3
, which is
12
. Next, multiply equation
1
by
3
and equation
2
by
4
so that
4
x
and
3
x
becomes
12
x
in both equations.
Equation
1
:
4
x
+
3
y
=
85.50
3
(
4
x
+
3
y
)
=
3
(
85.50
)
12
x
+
9
y
=
256.50
Equation
2
:
3
x
+
5
y
=
115.00
4
(
3
x
+
5
y
)
=
4
(
115.00
)
12
x
+
20
y
=
460.00
Now that we have two equations with
12
x
, we can subtract equation
2
from equation
1
to solve for
y
.
12
x
+
9
y
=
256.50
12
x
+
20
y
=
460.00
−
11
y
=
−
203.50
y
=
18.50
⇒
price for one pair of pants
Now that we know that a pair of pants is
$
18.50
, we can substitute this value into either equation
1
or
2
to find price for one shirt. In this case, we will choose equation
1
.
4
x
+
3
y
=
85.50
4
x
+
3
(
18.50
)
=
85.50
4
x
+
55.5
=
85.50
4
x
=
28
x
=
7.50
⇒
price for one shirt
∴
, the price for one shirt is
$
7.50
and the price for one pair of pants is
$
18.50
.
Step-by-step explanation:
yea
Given YZ tangent to circle J at point y, and angle WYX=104, what is angle WXY
Answer:
Step-by-step explanation:
What is the difference of the two expressions?
(
3
7
+ 9) − (
2
7
− 3)
Answer:
22
Step-by-step explanation:
Simplify the expression
The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?
Answer:
Radius of the sphere = r
Volume of sphere:
V₁ = 4/3×πr³Radius of the hemisphere = 2r
Volume of the hemisphere:
V₂ = 1/2×4/3×π(2r)³ = 1/2×8×4/3πr³ = 4V₁The volume of the hemisphere is 4 times greater than the volume of the sphere
Point P is plotted on the coordinate grid. If point S is 10 units above point P, what are the coordinates of point S?
On a coordinate grid from negative 12 to positive 12 in increments of 2, a line PQ is drawn with P plotted at the ordered pair 6, negative 4.
(1 point)
1. (−4, −4)
2. (−4, 6)
3. (6, 6)
4. (6, −4)
will give best and tanks
Step-by-step explanation:
(−4, −4)
2. (−4, 6)
3. (6, 6)
4. (6, −4)
-3x + 4 = 6x + 2 how many solutions?
Answer: x=2/9
Step-by-step explanation: Hope this help :D
Answer:
One solution x: 2/9
Step-by-step explanation:
Mr. Moran chose 10 different test scores out of 50, and they are shown below. For the following set of data, find the mean test score, rounding to the nearest tenth (i.e. one decimal place)
{48, 36, 21, 19, 50, 50, 49, 44, 38, 40}
Answer:
39.5
Step-by-step explanation:
what is the solution to the equation 3x + 15 = 9
Answer:
3x + 15 = 9
3x = 9 - 15
3x = -6
x = -6/3
x = -2.
I need help please.
Answer:
x=33
Step-by-step explanation:
1) write the equation: 180=90+(x+15)+(x+9)
2) subtract 90 on both sides and add x+15 and x+9 together: 90=2x+24
3) subtract 24 from both sides: 66=2x
4) divide both sides by 2: x=33
if a water jug has a volume of 5000cm3 and a height of 45cm, what is the diameter of the jug?
a) 22cm
b) 9.5cm
c) 12cm
d) 15.6cm
