The mean of five numbers is 25. If one of the numbers is excluded, the mean gets reduced by 3. What is the value of the excluded number? [1 point]
Answers
Related Questions
Can u answer this? respond please
Answers
explanation: divide $7.48 and 4 because it says per each marker and a little trick: each = divide or multiply! good luck with your school <3
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
Answers
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]
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.
Answers
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
I need help with this ASAP. Can you tell me what goes in what box.
Answers
Answer:
answers
Step-by-step explanation:
2 and 3rd
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)
Answers
Answer:
I believe the answer would be 32.64
Step-by-step explanation:
$24 x 36% = 8.64
8.64 + 24 = $32.64
7x + 2y - 3 = 0 in slope intercept form.
Answers
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
If fixed cost of 20 article is 500 and variable cost for each article is 40. Find the total cost function? Also ,find the total cost of 90 articles?
Answers
Answer:
Cost function = 40a + 500
Cost of 90 articles = $4,100
Step-by-step explanation:
The fixed cost is $500 and it will.not change regardless of production level.
The Variable cost is $40 and increases by every additional unit produced.
Assume the number of articles produced is a.
Cost function would be:
Total cost = Variable cost * Number of articles + Fixed cost
TC = 40a + 500
Using this, the cost of 90 articles is:
= 40 * 90 + 500
= $4,100
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
Answers
I need help please.
Answers
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
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).
Answers
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
what is the solution to the equation 3x + 15 = 9
Answers
Answer:
3x + 15 = 9
3x = 9 - 15
3x = -6
x = -6/3
x = -2.
Diego wants to sell his bicycle. It cost $150 when he bought it but has depreciated by 15%. How much should he sell it for?
Answers
Answer:
$127.50
Step-by-step explanation:
15/100 = 0.15
0.15 x 150 = 22.5
150 - 22.5 = 127.5
which answer is the simplest form of the expression.
Answers
Answer:
yellow box
Step-by-step explanation:
Answer:
c or the orange option. m^2n/2
Step-by-step explanation:
i hope this helps :)
Please help I'll mark brainliest
Answers
Answer:
okay...... where is the question
What are the coordinates of the point?
(6, −3)
(−3, −6)
(3, 6)
(−3, 6)
Answers
Answer:
(-3,6)
Step-by-step explanation:
As graph shows x=-3 and y=6
Answer:
-3 to +6 is the answer to the question
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
Answers
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
can someone help please ):
Answers
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.
(−7x 2 −4)+(−7x 2 −6x−2)
Answers
-20
Explanation:
( − 7 ^ 2 − 4 ) + ( − 7 ^ 2 − 6 − 2 )
Eliminate the redundant parentheses, subtract the numbers which will get you, combine like terms, rearrange terms, then your solution is:
− 1 4 2 −6 −6
Figure that problem out then you will get -20.
Answer:
−14x^2 − 6x - 6
Step-by-step explanation:
(−7x 2 −4)+(−7x 2 −6x−2) should be written as (−7x^2 −4) + (−7x^2 −6x−2). The " ^ " symbol denotes exponentiation. 7x^2 means "7 times the square of x." We can immediately remove the parentheses, obtaining:
−7x^2 −4 −7x^2 − 6x − 2
Our next step is to combine like terms. For example, -7x^2 appears twice, with the same (negative) sign; summing these up results in -14x^2.
Immediately after doing that, we have:
−14x^2 −4 − 6x − 2
and need to combine the constants -4 and -2:
−14x^2 −6 − 6x
Finally, we write these terms in descending powers of x:
−14x^2 − 6x - 6
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.
Answers
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
#SPJ2
Question 6 of 25
Julie ran for 21.8 seconds. Which statement is not true?
A. Julie's time was more than 21 seconds, but less than 22 seconds.
B. All of these statements are true.
C. The 21 represents whole seconds. The 8 represents part of a
second.
D. The 8 represents more time than the 2.
SUS
Whick statement is not true
Answers
Answer:
b and d are the answers!
Step-by-step explanation:
Factoring Best answer gets a brainliest
(5a²+5a)=
Explain how to solve this and other questions like it.
2 answers please
Answers
Answer: (5a+1) (a+1)
What is 5.3202 increased by 9.539?
Answers
Answer:
14.8592
Step-by-step explanation:
3.14 times 16 divided by 3
Answers
Answer:
The answer is 16.746667
Step-by-step explanation:
1) Simplify 3.14 × 16 to 50.24.
[tex]50.24 \div 3[/tex]
2) Simplify 50.24 ÷ 3 to 16.746667.
[tex]16.746667[/tex]
Therefor. the answer is 16.746667.
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?
Answers
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
i need this pls it’s due tm i was absent
Answers
Answer:
Well x would be 103° because it forms a line (180°) with the 77° but I have no idea what those arrows are asking...
when should you record the information about a check that you wrote in your resister?
Answers
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.
The schoolyard at Kenny's school is a square that is 50 yards long on each side. What is the area of the schoolyard?
Answers
Answer:
100
Step-by-step explanation:
Answer:
100 plz thank me later have a grate day love you all
-3x + 4 = 6x + 2 how many solutions?
Answers
Answer: x=2/9
Step-by-step explanation: Hope this help :D
Answer:
One solution x: 2/9
Step-by-step explanation:
is it true or false that The adjacent is the shortest side on a right triangle.
Answers
Please also include an explanation, I'd appreciate it :-)
Answers
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]
