According to the calculation, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
ProbabilityTo determine, if there were only 200 days in a year, how many people would need to be in a room before the probability that two people shared a birthday exceeded 50%, the following calculation must be performed:
200 days / 200 people = 200 / 200 = 1300 / 200 = 1.5301 / 200 = 1,505Therefore, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
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Please help asap
Savannah is trying to justify to her geometry class that the 2 lines she drew, line a and line b, are
parallel. Select all of the reasons that prove Savannah's lines parallel.
Answer:
2,3,4,5
Step-by-step explanation:
The ones you selected are all correct.
Hope this helps.
Parallel lines were coplanar endless straight lines in geometry that never intersect. Therefore, all the options are correct.
What are parallel lines?Parallel lines were coplanar endless straight lines in geometry that never intersect. Within a single three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.
Euclid's parallel postulate deals with parallel lines. Euclidean geometry is just a particular example of this sort of geometry, and parallelism is essentially a feature of affine geometries. Lines can have similar characteristics known as parallelism in various other geometries, including such hyperbolic geometry.
∠2≅∠8 ( alternate interior angle)
∠1≅∠8 (vertical angle)
∠1≅∠5 (corresponding angle)
∠2≅∠5 (consecutive interior angle)
∠4≅∠6 (exterior angle)
Therefore, all the options are correct.
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Find the surface area. HELP PLEASE!!!!
Answer:
I think the answer is 792
Answer:
SA = 696cm^2
Step-by-step explanation:
First we need to identify the shapes
There are 3 rectangles and 2 triangles
Now the individual surface area for each shape
20 x 10 = 200 (1 rectangle)
1/2(12 x 8) = 48 (1 triangle)
Now we add them together
(200 x 3) + (48 x 2) = 696
Find the missing angle.
Answer:
y=51, z and x= 129
Step-by-step explanation:
its complicated, but try to think of it as 51 and x/z are complementary angles, meaining they are on the same line, which means they equal 180, which makes this easier to solve meaning all you have to do is subtract 180-51=129.
The Roberts Family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?
I need help with this quick
Answer:
63π or 197.92 ft²Step-by-step explanation:
The required area is between 9+3 = 12 feet and 9 feet radius circles.
Find the area:
A = π*12² - π*9² = 144π - 81π = 63π = 197.92 ft²Question 1 (3 points)
The recursive rule for a sequence is shown.
an = An-1 +4
a1
= 14
Write the explicit rule in simplified form for the sequence.
an
=
Considering the recursive rule, the explicit rule for the arithmetic sequence is given by:
[tex]a_n = 14 + 4(n - 1)[/tex]
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
From the recursive sequence, we have that the first term is [tex]a_1 = 14[/tex], while each term is the previous added to four, hence the common difference is d = 4. Thus, the explicit formula is given by:
[tex]a_n = 14 + 4(n - 1)[/tex]
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May you help me please I am stressed and struggling
Answer:
a,c,e.
Step-by-step explanation:
2x+3x+4(2) is 5x+8. C is also. 2(2x) is 4x. 2(4) is 8. Add x is 5x+8
Dairy Queen has been analyzing their sales and profit records. They came up
with the following equations:
A. The function below shows Profit, P, as a function of the cost of a blizzard x.
P(x) - 65(x - 4) + 1000
=
1. At what prices would Dairy Queen earn zero profit?
2. How should Dairy Queen price their blizzards to maximize profits?
3. What is their estimated maximum profit?
4. Sketch a graph and make sure to label the x and y axis.
The function P(x) = -65(x - 4)² + 1000 of Dairy queen is an illustration of quadratic functions
Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000
The price that gives zero profitThe function is given as:
P(x) = -65(x - 4)² + 1000
At zero profit, P(x) = 0
So, we have:
-65(x - 4)² + 1000 = 0
From the graph of the function (see attachment), we have:
x = 0.078 and x = 7.922
Hence, the prices that give zero profit are 0.078 and 7.922
How to maximize profits?To maximize profit, Dairy Queen should their blizzards at a price that yields maximum profit
The estimated maximum profitWe have:
P(x) = -65(x - 4)² + 1000
A quadratic function is represented as:
P(x) = a(x - h)² + k
Where:
Vertex = (h,k)
So, we have:
h = 4 and k = 1000
Hence, Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000
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Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)
Answer:
Step-by-step explanation:
Log Rules
A plus sign between logs means multiply.A minus between logs means divideA number in front of the log means a powerGivens
1/2 log (x)
log (x)^(1/2)
2 log(2y)
log(2y)^2
log(2^2y^2)
log(4y^2)
3 log(z)
log(z^3)
Solution
log(x)^(1/2) * log(z^3) / log(4 y^2)
Answer: log(x^1/2)*(z^3)/(4y^2)
What is 10^5/10^3=?
What is the answer
Answer:
10⁵ / 10³ = 10^(5-3)= 10²
while diving the power gets subtracted if they have same base
You have 2 choices of bread: wheat or white; 3 choices of meat: ham, chicken, or beef; and 3 choices of condiments: mustard, mayo, and ketchup. If you choose each item at random, what is the probability that you will make a sandwhich with wheat bread, ham, and mustard?
Answer:
1/18
Step-by-step explanation:
Use the counting principle to find the total number of different sandwiches you can make.
2 breads
3 meats
3 condiments
Total number of different sandwiches = 2 × 3 × 3 = 18
There are 18 possible sandwiches.
You are intereseted in 1 specific sandwich out of the 18.
p(wheat bread, ham, mustard) = 1/18
1/18 is the probability that you will make a sandwich with wheat bread, ham, and mustard.
What is a number?A number is an arithmetic value used to represent quantity.
We can use the counting principle to find the total number of ways to make different sandwiches.
2 breads, 3 meats, and 3 condiments.
Total number of sandwich varieties = 2* 3* 3 = 18
There are 18 possible sandwiches.
You're only interested in one of the 18 sandwich varieties.
i.e. p(wheat bread, ham, mustard) = 1/18
Hence, the probability that you will make a sandwich with wheat bread, ham, and mustard is 1/18.
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Suppose you invest $550 at an annual interest rate of 3% compounded continuously. How much will you have in the account after six years? Round your answer to the nearest cent.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=550e^{0.03\cdot 6}\implies A=550e^{0.18}\implies A\approx 658.47[/tex]
WRITE INEQUALITY AND SOLVE • A pizza cost $5 plus 25 cents for each topping.
If you have $10, what is the maximum number of
toppings you can get on the pizza?
(.25x)+5 ≤10 or .25x ≤5 i believe both should work.
20 is how many toppings....
you need four quarters to make a dollar and honestly i just counted with my fingers even though i could have just multiplied 5 x 4
sorry for missing the inequality part at first.........
help please!! math …
Answer:
the fourth graph, bottom left, is the correct one
Step-by-step explanation:
the line, also known as a line of best fit is best graphed to make sure that it covers all of the points, not including outliers. You want to make sure that the line of best fit has an fairly similar amount of points on either side, but there may be one or two outliers that are way far apart; you shouldn't need to worry about them.
Jim makes $12.50 per hour when he works. How much money does he make when he works one hour?
1) $25.00
2) 1
30 $12.50
Answer:
3) $12.50
Step-by-step explanation:
12.50(1) = 12.50
Hope this helps :)
of The marked price of a pair of shoe is Rs480. Shopkepper allow discount 10% on shoe find how much should for the shoes after discount a customer pay.
Answer:
$48.
Step-by-step explanation:
$480-$48
=$432
after the discount
a
Find the area of a circle with a
radius of 7 feet. Use 3.14 for n.
Hint: A = Tir?
7 ft
Area = [?] square feet
Enter the number that goes in the green box.
Answer:
a=tir
a=7×3.14
a=21.98
area=21.98 square feet
Please help 50 points+Brainlest
Answer:
The correct polynomial is F. Calculation errors combining h terms and distributing -1.
Step-by-step explanation:
[tex]( - 4h + 3)( {h}^{2} + 9h - 1)[/tex]
[tex] - 4 {h}^{3} - 36 {h}^{2} + 4h + 3 {h}^{2} + 27h - 3[/tex]
[tex] - 4 {h}^{3} - 33 {h}^{2} + 31h - 3[/tex]
Should you use Sine, Cosine, or Tangent to solve the following problem
Answer:
Chose Cosine
Step-by-step explanation:
This is because cos = adj/hyp
Hope this helps!!!
2m · 2n would be the same as _____.
A) 4 mn
B) 2 m + n
C) 2 mn
D) 2 m - n
Answer:
A) 4mn
Step-by-step explanation:
2m × 2n = 4mn
I hope this helps!
Each side of a pentagonal pyrimad is 9 yards. The area of a pentagon is 139 square yards. The slant height of the pyrimad is 6 yards. True or false: the permeter of the base is 45 yards
Answer:
Yes
Step-by-step explanation:
The only relevant information is each side of the pentagonal pyramid is 9 years and so the perimeter of the base is 45 since 9 x 5 = 45 yards.
Plss help!!
Will give brainliest!!!
Answer:
It's 4
Step-by-step explanation:
2 2/5 - 12/5 (Simplify)
2 2/5 - 2 2/5
0 (Subtract)
(1x0) + 4 (Finish Equation)
0 + 4 (Add)
4 (Done)
pls help me find the answer to this i am working out on it but am confused also giving brainly no links pls.
Answer:
5/72
Step-by-step explanation:
I am pretty sure its right
a. Find the mean and the median of this data:9,6,5,3,28,6,4,7.
b. Which better describes the data set, the mean or the median? Explain.
Answer:
a) organized-
3,4,5,6,6,7,9,28
median is 6
68/8=8.5
the mean is 8.5
b) the median, because there is an outlier
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
7.235 cm
Step-by-step explanation:
Pythagorean theory
A^2 + B^2 = C^2
A = 4.7
B = 5.5
4.7^2 + 5.5^2 = C^2
22.09 + 30.25 = C^2
√52.34 = √C^2
7.235 cm ≈ C
solve the expression 7-[60*(6x2)]
Answer:
7-720= -714
Step-by-step explanation:6x2=12 60x12=720 so thats the brackets then substract from seven to get the answer -714
Jared check the school soda vending machine sells each hour between 8 AM and 3 PM. The 11 AM account each day averaged about 20 sodas. Jared then predicted about 20 sodas will be sold each hour of the day. What is wrong with this prediction?
Last week, Riley worked 7.5 hours per day for 3 days and earned a total of $306.45.
What was Riley's hourly rate of pay last week?
Answer:
13,62$
Step-by-step explanation:
The total hours Riley worked last week: 7.5*3= 22.5 (hours)
Riley's hourly rate of pay: 306.45/ 22.5= 13.62$
Find the area of the figure!!! Pleaseee don’t give a big explain Atom i have exactly 17 minutes to get to 90 on ixl!
Answer:
137 m²
Formula's:
area of rectangle: length + widtharea of triangle: 1/2 * base * heightExplanation:
⇒ area of rec + area of rec + area of rec + area of triangle
⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5
⇒ 8 + 42 + 72 + 15
⇒ 137 m²
Answer:
137 m²
Step-by-step explanation:
Divide the figure into a triangle and 3 rectangles (see attached diagram)
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthTriangle 1
⇒ area = 1/2 x (8 + 7 + 2 - 4 - 7) x 5
= 1/2 x 6 x 5
= 15 m²
Rectangle 2
⇒ area = 4 x (2 + 7 + 8)
= 4 x 17
= 68 m²
Rectangle 3
⇒ area = 2 x (7 + 8)
= 2 x 15
= 30 m²
Rectangle 4
⇒ area = 3 x 8
= 24 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3 + rectangle 4
= 15 + 68 + 30 + 24
= 137 m²
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed. 50 Points!!
Answer:
tanC = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{36}{15}[/tex] = [tex]\frac{12}{5}[/tex]
PLS HELP In circle A, secant EC and tangent BC intersect at point C. mЕВ = 171° and mBD 83°. What is mBCD?
Enter your answer in the box.
Answer:
∠ BCD = 44°
Step-by-step explanation:
the secant- tangent angle BCD is half the difference of the intercepted arcs, so
∠ BCD = [tex]\frac{1}{2}[/tex] (EB - BD) = [tex]\frac{1}{2}[/tex] (171 - 83)° = [tex]\frac{1}{2}[/tex] × 88° = 44°