A company is placing an order for boxed lunches for a meeting of its executive board. There are 10 members of the board and each will have one lunch. The company is getting the lunches from a restaurant that has 25 varieties of boxed lunches.
Required:
a. How many different ways are there for the company to place the lunch order for the 10 lunches?
b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?
Answer:
a) There are 93,367,432,000,000 ways to place the lunch order.
b) There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
a. How many different ways are there for the company to place the lunch order for the 10 lunches?
For each of the 10 lunches, there are 25 options. So
[tex]25^10 = 93,367,432,000,000[/tex]
There are 93,367,432,000,000 ways to place the lunch order.
b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?
The order is important, which means that the permutations formula is used to solve this question. So
[tex]P_{(25,10)} = \frac{25!}{(25-10)!} = 11,861,676,000,000[/tex]
There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.
find the diameter and of each circle. A) circumference = 118mm B) circumference = 1m
Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.
Answer:
Step-by-step explanation:
WILL MAKE BRAINLIEST PLS
what are the slopes of each line?
Question 3: A
Question 4: D
Question 5: B
Question 6: D
At a school district there are 55 employees. If next year the number of employees increases by
20%, what will be the new amount of employees?
Answer:
66
Step-by-step explanation:
Can someone answer these 3? I’ll reward double points + brainalist
If you go out to eat, a good tip is $18 when the bill costs $100. What is this percent?
Answer:
This is a good tip and $18 is 18% of what the meal cost.
Step-by-step explanation:
On average the proper tip is 15% of the cost of your meal cost. In this case you have paid 18% of your meal cost.
Answer:
I think0.18
Step-by-step explanation:
Solve the system of equations by using substitution or elimination. Show work to support your answer by typing in the box or using Scratchpad.
y = x + 2
y = 2x + 3
If the soccer field is 60 yards by 100 yards and the team has to run around it twice how many yards will they run?
Answer:
640 yards
Step-by-step explanation:
60(4)+100(4)=640
they will run each length 4 times to create 2 laps
(60+100+60+100)+(60+100+60+100)
lap 1 + lap 2
Help with both plz I’ll mark brainliest
Answer:
(1,6) is not a solution and I think the second one is: c I think
Step-by-step explanation:
A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answer:
66/150
Step-by-step explanation:
So the question asks the probabilty for buttons.
so we see that 23 has buttons so we discard for now,
35 has no buttons but a zip so we acknowledge it
49 has no buttons and no zips so we keep it too.
now we do 35+49 which is 84.
since there is 150 bags and 84 of those bags dont have buttons, the rest must do.
150-84=66
so there are 66 bags with buttons so we put this in a fraction -> 66/150
Tangent (non necessary for the question persay):
since we cant simplify you keep it as 66/150. If you are doing this on mathswatch, then remeber if there is a question like this next and you can simplify, simplify.
for this question it is not necessary.
Mathswatch users only:
Also a trick for mathswatch if you get it wrong, go to task bar, search the task name (it will be below search/taskbar) then type number press enter and you have 2 more turns. You can repeat this how many times you need to.
Thank you for reading, please rate 5star :)
have a good day.
The probability that the bag is selected at random have buttons is 11/25.
What is probability?Probability is the chance of happning an event among all the events possible. It lies between 0 and 1. It is calculated by dividing number of items by total number of items.
How to calculate probability?We have been given that company makes 150 bags out of which 23 of the bags have buttons but no zips and we have to calculate the probability that a bag chosen at random have buttons.
35 of the bags have zips but no buttons.49 of the bags have neither zips nor buttons.so we see that 23 has buttons so we discard for now, 35 has no buttons but a zip so we can say that it that 49 has no buttons and no zips so we keep it too.now we do 35+49 which is 84. Because there are 150 bags and 84 of those bags dont have buttons, the rest must do.
150-84=66, we got that there are 66 bags with buttons so we put this in a fraction= 66/150.
Probability=66/150
Hence the probability of getting a bag that has buttons is 66/150.
Learn more about probability at https://brainly.com/question/24756209
#SPJ2
six bags of sunflower seeds cost 7.20 what is the proportionality of the situation
Answer:
$1.2:1 or $1.2 per bag of sunflower seeds
Step-by-step explanation:
To find the cost of each sunflower bag you would divide the cost by the amount of bags7.20÷6 which is 1.2
Select the three statements that give benefits of having a savings account.
if there were an emergency, I would have the money to cover expenses
IF YOUR GOOD AT MATH PRESS ON THIS I NEED U BADLY
Answer:
3.50x+6.00 and 2(1.75+3.00)
Step-by-step explanation:
I need a real answer not a scam.
please help!!!
Find the lateral surface area of a cylinder with a diameter of 21 inches and a height of 15 inches.
Answer:
989.6inches^2
Step-by-step explanation:
A) Radius = You half the diameter so... 21/2
Radius = 10.5
Height = 15
A = 2 x pi x d/2 x h
B) 2 x pi x 21/2 x 15
A = 989.6inches^2
which shape is a parallelogram
Answer:
the rectangel
Step-by-step explanation:
Answer:
rectangle
A parallelogram means it has alteast 2 pairs of equal sides, and the rectangle has to, 1 at the top and bottom which are the largest, and one the sides there is another one on the left and right which are smaller in size then the other one.
Help please !!!!!!!! asapppppp
Answer:
B
Step-by-step explanation:
1.sea surface to deck of sunken ship =24.7=29.5-4.8
2.zhip deck to ship deck =1.5 +24.7=26.2m
Can someone please help me
A number cube is rollled 144 times. How many times would you expect it to land on 5?
Answer:
28.8 times if you divide 144 by 5
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
I think it is 24 because if you divide 144 by the number of sides the dice has (6) it would be 24
Soes a square have any parallel lines? If yes how many
Answer:
2 sets of parallel lines
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2
if im correct can i get crown
Create and equivalent expression using the distributive property for 5(3s-2)
Andy has 3 different sticker books filled with a variety of stickers. Her Grandma gave her 10 more stickers.
Write an expression (does not contain an equal sign) for the above situation.
Answer:
3x+10>10
Step-by-step explanation:
Answer:
3x+10
Step-by-step explanation:
The x is the sticker books because there could be any amount of stickers in there and the 10 is the new stickers.
Evaluate 3(c+d) if c=8 and d=-5
A. 6
B. 9
C. 39
D. -9
Answer:
C
Step-by-step explanation:
3(8+5)=39
3(13)=39
or
3(8)+3(5)=39
Answer:
b. 9
Step-by-step explanation:
if c = 8 and d = - 5
3( c + d)
= 3( 8 + (-5))
= 3 * 3
= 9
An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The mean lifetime of a random sample of 2000 new bulbs is found to have a mean lifetime of 1201 hours. Although the difference from the old mean lifetime of 1200 hours is quite small, the P-value is 0.03 and the effect is statistically significant at the 0.05 level. If, in fact, there is no difference between the mean lifetimes of the new and old designs, the researcher has:________
a. committed a type 1 error
b. committed a type 2 error
c. a probability of being correct, which is equal to the P-value
d. a probability of being correct, which is equal to 1-(P-value)
Answer:
a. committed a type 1 error
Step-by-step explanation:
The correct option is - a. committed a type 1 error
Reason -
Type 1 error occurs when a true null Hypothesis is rejected
Type 2 error occurs when a false null Hypothesis is accepted
Now,
Let us state that,
The null hypothesis and alternate hypothesis is
H0 : There is no difference between the mean lifetimes of the new and old designs
H1 : There is a difference between the mean lifetimes of the new and old designs
Now,
As there is no difference between the mean lifetimes of the new and old designs.
⇒ The null hypothesis is true.
But p value suggests that null hypothesis should be rejected
∴
We have committed a Type 1 error that is rejecting a true null hypothesis.
So,
The correct option is - a. committed a type 1 error
3. An athlete jumped 7.7 feet, which was 2.3 feet
higher than the previous jumper. How high did
the previous athlete jump.
Answer:
5.4 feet
Step-by-step explanation:
Hope this helped!!
Answer:
5.4 feet
Step-by-step explanation:
7.7-2.3=5.4 feet
3 pound of apples for $4.59.
Answer:
each apple would be $1.53
Answer:
$1.53 per pound of apple
Step-by-step explanation:
I'm assuming the question is what is the cost of 1 pound
Set up a equation:
3pounds/$4.59 = 1pound/x
Variable x = cost for one pound
3/4.59 = 1/x
Cross mulitply
3 × x = 4.59 × 1
3x = 4.59
Divide both sides by 3
3x ÷ 3 = 4.59 ÷ 3
x = 1.53
In the cafeteria, there are 50 seats, of which, 22 seats are empty and 28 seats are occupied.
What is the ratio of occupied seats to empty seats?
14:25
a
11:25
11:14
14:11
Answer
2
Step-by-step explanation:
Find the Area of the Shaded Region. Round to the nearest tenth if necessary.
tra 一
20 cm
16 cm
Answer:
420.53
Step-by-step explanation:
Split the half circle and rectangle, find the area : 320, then the semi circle: 100.53. add and your answer will be: 420.53
URGENT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP
Answer:
I think its D). but im not pretty sure.
Step-by-step explanation:
based on the formula given:
area: 8 x 8: 64cm²
1/3 x (64) x 9 : 192cm³