The answer is 240 different possible combinations would there be of one of each category
What is fundamental counting principle ?
The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation.
It states that if there are n ways of doing something, and m ways of doing another thing after that, then there are n × m n\times m n×m ways to perform both of these actions.
He can choose an appetizer 5 ways.
For each of those 5 ways to choose an appetizer,
he can choose an entree 12 ways.
That's 5*12 = 60 ways he can choose an appetizer and an entree.
For each of those 60 ways to choose an appetizer and an entree,
he can choose a dessert 4 ways.
That's 60*4 = 240 ways he can choose an appetizer, an entree,
and a dessert.
Therefore 240 different possible combinations would there be of one of each category .
To know more about fundamental counting principle
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What is the measure of each angle of a regular pentagon? If necessary, round to the nearest tenth.
Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165
Step-by-step explanation: sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .
87°
A
74°
C
B
What is mZB?
mZB =
O
using Inscribed Quadrilateral Theorem
Answer:
m<B = 93°
Step-by-step explanation:
Based on the inscribed quadrilateral theorem, the opposite angles of a cyclic quadrilateral are supplementary.
Thus:
m<B + m<D = 180°
Substitute
m<B + 87° = 180°
m<B = 180° - 87°
m<B = 93°
Which of the following can be used to prove that AABC = AADC?
Answer:
AAS postulate
Step-by-step explanation:
Answer:
i hope it help u:))
Step-by-step explanation:
i think that it will be ASA postulate
mareli rides her dirt bike at 20 meters/second for 500 seconds, how far did she ride?
Answer:
25 meters
Step-by-step explanation:
500/20 = 25
25 meters
Hope that helps!
Answer:
10,000 meters
Step-by-step explanation:
20*500=10,000
divide 270 in the ratio 3:2:1
3 + 2 + 1 = 6
270 ÷ 6 = 45
45 × 3 = 135
45 × 2 = 90
45 × 1 = 45
3 : 2 : 1
135 : 90 : 45
0 What is A U B?
Set A = 1, 2, 3, 4
Set B = 2, 3, 6, 10, 11
Answer:
A U B= 1,2,3,4,6,10,11
Step-by-step explanation:
because A union B is all number from set A and set B together without repeating
state three (3) uses of graphs
As a percentage, $9.00 is equal to
What % of $20.00.
Answer:
45%
Step-by-step explanation:
let's say 20 is 100%
10 is 50%
then 10 divided by 5 (to get 10%) is 2
so 1 is 5%
then we wanna get 9 so we do 10-1 which equals the percentages 50-5 to get 45%
A football team incurred a 10 yard penalty for being off sides. Write an integer to represent this situation?
Answer:
sir u can try looking up on internet, we do not do homeworks/assignemnts for people
Step-by-step explanation:
3.1 Simplify the following ratios:
3.1.1 500g: 3 kg
- 15
Answer:
1g:6g-15
Step-by-step explanation:
SOMEONE PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST THANK YOU
Answer:
20 visits.
Step-by-step explanation:
Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50
Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:
5.50v + 50 = 8v
Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:
5.50v (-5.50v) + 50 = 8v (-5.50v)
50 = 8v - 5.50v
50 = 2.50v
Isolate the variable, v. Divide 2.50 from both sides:
(50)/2.50 = (2.50v)/2.50
v = 50/2.50
v = 20
Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.
Sarah makes $3000 contributions at the end of each half-year to a retirement account for 8 years. For the next 20 years, she makes no additional contributions and no withdrawals. If the account earns 7.5%, compounded semi-annually, find the value of the account after the 28 years.
(b) If the above account is used to set up an annuity that pays her an amount at the beginning of each 6-month period for the next 20 years, how much will each payment be?
Answer:
I think its aa.... I think its aa.... Carrot
Step-by-step explanation:
Condense the log equation: 4 log x + log y - 5 log z
Answer:
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
Step-by-step explanation:
We use these following logarithm properties to solve this question:
[tex]a\log{x} = \log{x^a}[/tex]
[tex]\log{a} + \log{b} = \log{ab}[/tex]
[tex]\log{a} - \log{b} = \log{\frac{a}{b}}[/tex]
In this question:
[tex]4\log{x} = \log{x^4}[/tex]
[tex]5\log{5} = \log{z^5}[/tex]
So
[tex]4\log{x} + \log{y} - 5\log{z}[/tex]
Becomes:
[tex]\log{x^4} + \log{y} - \log{z^5}[/tex]
Now applying the addition and subtraction properties, we have:
[tex]\log{\frac{x^4y}{z^5}}[/tex]
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
The question that is asked...
i’m very confused . would appreciate more help
Do you guys now the answer I need it ASAP please
Answer:I think that it would be either b or c
Step-by-step explanation:
The tip of a 8 cm minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
Answer:
16.75
Step-by-step explanation:
20/60=x/360
x=120 degree angle
120/360=x/2pi8
1/3=x/16pi
16pi/3=x
x=16.75 arc length
An element with
mass 510 grams decays by 26.3% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
60.2 grams is remaining after 7 minutes.
Step-by-step explanation:
Exponential equation for amount of substance:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.
An element with mass 510 grams decays by 26.3% per minute.
This means that [tex]A(0) = 510, r = 0.263[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 510(1-0.263)^t[/tex]
[tex]A(t) = 510(0.737)^t[/tex]
How much of the element is remaining after 7 minutes?
This is A(7). So
[tex]A(7) = 510(0.737)^7 = 60.2[/tex]
60.2 grams is remaining after 7 minutes.
pls someone anwser quick
p -> q is false and p is true.
q is
True
False
Answer:
q is false
Step-by-step explanation:
Answer:
q is false
Step-by-step explanation:
for a conditional statement, if the first part (if....) is true and second part is false, then p->q will be false. This is THE ONLY CASE IN CONDITIONAL STATEMENT where the truth value is false.
Please guys help me please no links
Answer:
it's F.
Step-by-step explanation:
i used my calculator. just trust me
How many and what type of solution(s) does the equation have?8p^2=24p−10
Answer:
2 real solutionsStep-by-step explanation:
to understand thisyou need to know about:discriminantPEMDAStips and formulas[tex]D=b^{2}-4ac[/tex]D>0 (2 real solutions)D=0 (1 real solution)D<0 (2 imaginary solutions) or (no real solutions)let's solve:move left hand side expressions to right hand side and change its sign:8p²-24p+10=0divide both sides by 2 :4p²-12p+5=0the quadratic equation standard form is
ax²+bx+c=0therefore we get
a=4b=-12c=5-------------------------------
substitute the value of a,b and c into the discriminant: D=-12²-4.4.5simplify square:144-4.4.5simplify multiplication:144-80simplify substraction:64since we got D>0
therefore
the quadratic equation has 2 real solutions
Which triangle can be used to find the slope of the line shown? explain your answer
Answer:
A right triangle contains a right angle, so it must have two sides that are perpendicular. If the slopes of two sides can be shown to be negative reciprocals of each other, then it can be concluded that a right angle is formed. If a triangle contains a right angle, then it is a right triangle
Step-by-step explanation:
to determine if a triangle is a right triangle using slopes, you have to understand perpendicular slopes/negative reciprocals.
You can calculate the slope of all 3 sides of the triangle and if two of the slopes are negative reciprocals, then those two lines intersect creating a right angle/right triangle.
Let's say there's triangle ABC.
If the slope of AB is 1/2
and the slope of BC is 2/5
and the slope of CA is -2/1
then AB and CA intersect resulting in a right angle (triangle).
Every Month the average number of books borrowed by a class of 24 from a library is 4.What is the total number of books borowed by the class for the month
Answer:
96
Step-by-step explanation:
24*4=96
5x+2y=10
x+ay=4
Which value of a makes these equations have no solution.
Answer:
2
Step-by-step explanation:
Rearrange to same form:
2y = -5x + 10
y = -5/2x + 10
ay = -5x + 4
Parallel lines have no intersection and solution, thus a = 2
Answer:
Step-by-step explanation:
For there to be no solution the lines must be parallel and have different y intercepts. To be parallel they must have the same slope.
Solving each for y
y=(10-5x)/2 and y=(4-x)/a
So the slopes are
-5/2 and -1/a, if they are equal
-5/2=-1/a
-5a=-2
a=2/5
The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Step-by-step explanation:
We start by stating the null hypothesis
H0: p1 = p2
No difference is existent
H1: p2 not equal to p2
There is a difference
We find the z statistic using microsoft excel or using the formula in the attachment
= -1.68
From the normal table, p value = 0.099
The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference
B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.
3. If a week is 7 days, what fraction of a week is 2 days?
3
a) The average rainfall of the last week was 35 mm. If the records of daily
rainfall from Sunday to Friday were 45 mm, 22 mm, 28 mm, 36 mm, 30 mm
and 24 mm, find the rainfall on Saturday.
Answer:
The rainfall on Saturday was of 60 mm.
Step-by-step explanation:
Average rainfall:
The average rainfall is given by the total rainfall divided by the number of days(7). So
If the records of daily rainfall from Sunday to Friday were 45 mm, 22 mm, 28 mm, 36 mm, 30 mm and 24 mm
On Saturday it was of x mm. So
[tex]35 = \frac{45 + 22 + 28 + 36 + 30 + 24 + x}{7}[/tex]
[tex]185 + x = 245[/tex]
[tex]x = 245 - 185[/tex]
[tex]x = 60[/tex]
The rainfall on Saturday was of 60 mm.
In a sale the price of a bike is reduced by 40% the sale price of the bike is £192 how much did the bike cost before the sale?
Answer:
£268.8
Step-by-step explanation:
192 = 100%
19.2= 10%
19.2 x 4 = 76.8
76.8 = 10%
76.8 + 192 = 268.8
I hope this helped :)
1)1/4+1/2
2)7/10-3/5
3)1/2-2/6
With lowest term
Thank you who answer my question