The seats are divided into 40 sections. If hats are to be given in only 5 sections, what is the probability of a guest sitting in a winning section? Record your answer as a fraction in simplest form.
Answer:
P=(Probablility of a guest sitting in a section that gets a hat) =number of ways it can happen/total number of outcomes. =5/40= 1/8
Step-by-step explanation:
The probability of a guest sitting in a winning section is 1/8.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, The seats are divided into 40 sections and hats are to be given in only 5 sections.
Here, N(S) = 40 and N(H) = 5.
Therefore, We know, P(H) = N(H)/N(S).
P(H) = 5/40.
P(H) = 1/8.
Some more concepts of probability are, Conditional probability,
A term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
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What is the velocity of a car that’s traveled 306 kilometers northeast in 3.4 hours
Answer : -302.6
Step-by-step explanation:
Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So
[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]
The manager can select a team in 61425 ways.
Can someone help me ASAP
Answer:
x= (-∞,∞)
Step-by-step explanation:
x could be any value and make this equation true
6. Cindy and Sam are 24 miles apart on a path when they start moving
toward each other. Cindy runs at a constant speed of 10 miles per
hour, and Sam walks at a constant speed of 6 miles per hour.
How long does it take until Cindy and Sam meet?
Answer:
2 hours to meet each other
Step-by-step explanation:
Answer:
1.5
Step by step explanation:
digits to write the value of the 5 in this number.587,096
Answer: what does the question even mean
Step-by-step explanation:
Help pls don’t answer if you don’t know ill give you brainliest
Answer:
brainliest since i dont know
LOL
Step-by-step explanation:
What is 5/10 = x/100
Answer:
= 50
Step-by-step explanation:
Suppose a day from this city is selected at random. Let
event A = heavy traffic and event B = bad weather. Are
events A and B independent?
Answer:
The two events are not independent
Step-by-step explanation:
Two events are said to be independent only when the change in one event affect the other event.
Here the two given events are not independent.
Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.
Hence, the two events are not independent as the traffic is affected by the weather conditions.
A pool of possible jurors consists of 15 men and 14 women. How many different juries consisting of 5 men and 7 women are possible?
Answer:
6
Step-by-step explanation:
Um so what I did was 15/5=3 and 14/7+2
So for the first group of men, 2 groups. TIMES 3.
Equals 6 options
What is the solution of the equation 5* - 1 = 45? Round your answer to the nearest ten-thousandth.
Answer:
The answer is 3.3652
Step-by-step explanation:
Find the number in the thousandth place
5
and look one place to the right for the rounding digit
2
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
3.365
Factor to write an equivalent expression for -9x+15y
Answer:
Step-by-step explanation:
-9x +15y = 3(-3x +5y) = -3(3x - 5y)
The required equivalent expression for the given expression -9x + 15y is 3(-3x + 5y).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The given expression is given as follows:
-9x + 15y
It is required to find the factorization of the given expression.
As per the question, we have
-9x + 15y
To factor -9x + 15y, we can first factor out the greatest common factor (GCF) of -9 and 15, which is 3:
-9x + 15y = 3(-3x + 5y)
Therefore, the equivalent expression for -9x + 15y is 3(-3x + 5y).
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36
Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?
(5, 4)
(9, 4)
(2, 9)
(4, 8)
Answer:
9,4
Step-by-step explanation:
what is 1/2 divided by 6?
Answer:
1/12 or 0.0833
Step-by-step explanation:
1/2 divided by 6
1/2x6
1/12!
Answer: Fraction Form: 1/12
Decimal Form: 0.0833
Expanded Decimal Form: 0.08333333333
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be able to fill?
Answer:
4 2/4
Step-by-step explanation:
4 1/2 + 1/2 = 4 2/4
i just added em up
Answer:
Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.
A flying disc was originally marked at 5$ and has been sold at $3.50. What was the percent of discount?
Answer:
30%
Step-by-step explanation:
Percentage discount
[tex] = \frac{discount}{original \: price} \times 100\% \\ = \frac{5 - 3.50}{5} \times 100\% \\ = 30\%[/tex]
☆ Discount= original price -selling price
The diagram shows a logo
Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%
Answer:
1478.67
Step-by-step explanation:
Jolyn was paid $340 last week working 17 hours. What was Jolyn’s hourly pay? Do not include the units in your answer
Answer:
20
Step-by-step explanation:
It is mentioned that Jolyn made $340 in 17 hours last week. In order to evaluate this, you'll have to divide the money earned by the hours worked.
[tex]\frac{340}{17} =20[/tex]
Therefore, Jolyn makes $20 an hour as 20 x 17 = 340 which is correct,
Solve the right triangle round your answer to the nearest tenth
Answer/Step-by-step explanation:
✔️A = 180° - (50° + 90°) (sum of triangle)
A = 40°
✔️Find a:
Reference angle = 50°
Opposite = 17
Adjacent = a
Therefore, using trigonometric ratio, we have the following:
Tan 50 = 17/a
a = 17/tan 50
a = 14.3 (nearest tenth)
✔️Find c using Pythagorean Theorem:
c² = a² + b²
c² = 14.3² + 17²
c = √493.49
c = 22.2 (nearest tenth)
Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.
CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answer:
seventeen degrees(17⁰)
50 points I WILL ALSO MARK BRAINLIEST ITS TIMED PLZ HURRY
The coordinates of the vertices of a polygon are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point C is at (0, negative 3), and point B is at (negative 4, negative 3).
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle
Answer:
Triangle
Step-by-step explanation:
Option D. triangle
Isabella is cooking a meal for 14 friends. Each person gets
6
of a cup of vegetables.
How many cups of vegetables does Isabella need?
A total of 6.54 inches of snow fell during a storm. The snow fell at an
average rate of 1.5 inches per hour. For how many hours did the snow fall? *
Answer:
4.36
Step-by-step explanation:
6.54/1.5=4.36
the triangle Loom is made from wood strips shaped into a 45 45 90 triangle. pegs are placed every half inch along the hypotenuse and every quarter inch along each leg. suppose you make a loom with an 18 inch hypotenuse. approximately how many pegs will you need
Answer:
36 pegs (for the hypotenuse)
About 51 pegs (for the legs)
138 pegs (total)
Step-by-step explanation:
Along the hypotenuse, the pegs are placed every half-inch. That would make 2 pegs per inch. Multiply 2 x 18 to get 36.
The legs are each 9 sqrt 2. This is 12.7279220614. The pegs are placed at each quarter inch for the legs. This is 4 per inch. So multiply 12.7279220614 x 4 to get 50.9116882454. Round this to 51.
Add 51 + 51 for the legs total pegs. You get 102. Add 102 + 36 to get 138 pegs total.
Hope it helps!
Which expression is the sum of
-5.3m + 3.4n and 2.5n + 2.8m?
A. -2.8m + 6.2n
B. -2.5m + 5.9n
C.-8.1m + 0.9n
D. 2.5m + 5.9n
+
B
Answer:
b
Step-by-step explanation:
its b because you add the 3.4n +2.5n then you subtract -5.3+2.8
Kevin plants a total 72 flowers in a equal row. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers are in each row?
Answer:
9
Step-by-step explanation:
9 is the answer bc
6+2=8
72/8=9
(lol I hope I helped)
which one is the answer
Answer:
Two
Step-by-step explanation:
use the rule to write the first five terms of the pattern: Rule: add 8, subtract 4 First term: 13
Answer:
17
Step-by-step explanation:
13 + 8 - 4
Answer:
{13, 17, 21, 25, 29}
Step-by-step explanation:
Add 8 and subtract 4 is equivalent to Add 4.
If the first term is 13, the next is 17;
the second term is 21; and
the third term is 25.