Answer:
0.7667 = 76.67% probability that at least 2 graduates have a summer job
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term.
This means that [tex]p = 0.4[/tex]
6 graduates.
This means that [tex]n = 6[/tex]
What is the probability that at least 2 graduates have a summer job
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.4)^{0}.(0.6)^{6} = 0.0467[/tex]
[tex]P(X = 1) = C_{6,1}.(0.4)^{1}.(0.6)^{5} = 0.1866[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0467 + 0.1866 = 0.2333[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.2333 = 0.7667[/tex]
0.7667 = 76.67% probability that at least 2 graduates have a summer job
Find the measure of angle x in the figure below:
15 degrees
25 degrees
30 degrees
60 degrees
Answer:
30°
Step-by-step explanation:
180-75-75=30
Find the 31st term of 405,397,389
Answer:
165
Step-by-step explanation:
1) the difference of the given sequence is:
d=397-405=389-397= -8.
2) common view of the formula of the 'n' term is:
a(n)=a(1)+d*(n-1), where n - required number of the given sequence, a(1) - the 1st term of the given sequence, d - the difference calculated above.
3) if to perform substitution (n=31; a(1)=405 and d= -8) into the formula above, then:
a(31)=405-8*(31-1)=405-240=165.
Choose Yes Or No To Tell if the fraction 4/9 will make each equation True.
1: 63 x [] = 28
2: 18 x [] = 8
3: 96 x [] = 42
4: 36 x [] = 16
Answer:
true, true, false, true
Step-by-step explanation:
(4/9)*63=28
(4/9)*18=8
(4/9)*96=42.666667
(4/9)*36=16
I can't figure out: |m| = -10.
Answer:
It means the absolute value of x is (equals) -10
Step-by-step explanation:
6) How are a parallelogram and a trapezoid different?
A A trapezoid has ony 1 pair of parallel sides, but a paralelogram has 2.
C.B.A parallelogram has 4 right angles, but a trapezoid doesn't need to have 4 right
angles
CA parallelogram has only 1 pair of parallel sides, but a trapezoid has 2
D A trapezoid has 4 night angles, but a parallelogram doesn't need to have 4 night
angles
Answer:
A. A trapezoid has only 1 pair of parallel sides, but a parallelogram has 2.
That's the answer.
Answer:
a
Step-by-step explanation:
PLEASE HELP AND TELL ME HOW YOU DID IT I HAVE TO SHOW WORK !!! Garys Rentals charges a 10 percent fee on all late returned vehicles. Tim returned his car late. If Tim's rental
costs $405.34 and he received a 10 percent late fee, how much did he pay in late fees?
Answer:
$40.53
Step-by-step explanation:
10% of 405.34 = 0.1 × 405.34 = 40.534
The floor of a 15’ x 20’ rectangular room is being covered with carpet tiles each carpet tiles cover 6 ft.² of floor which of the following expressions represents the number of carpet tiles needed to cover the entire floor
Answer:
15 * 20 / 6
Step-by-step explanation:
1. Find the area of the room, 300.
2. Just divide 300 from 6
3. you get 50 tiles
4. It's asking for an expression, so 15 * 20 / 6
jermain built 1/4 of a wall in 3 hours , if he built the same amouth each hour , what fraction of the wall did jermaine build each time
Answer:
1/12
Step-by-step explanation:
1/4 ÷ 3 = 1/12
Leslie has a watering can that holds 3 liters of water. She uses 250 milliliters of water on each of her plants. How many plants can she water? Enter your answer in the box.
Answer:
12
Step-by-step explanation:
1,000 milliliters in a liter. 3 liters, so divide 3,000 by 250, which will give you 12. she can water 12 plants.
Step-by-step explanation:
Lester can water 12 plants because there is 1000 milliliters in one liter so if we do 1000x3=3000÷250=12 plants being able to get watered
The_______allowed farmers to plow fields using horses.
(heavy plow/horse collar)
Answer:
horse collar
Step-by-step explanation:
Round 6.081 to the nearest hundredth 
Answer:
6.08
Have a good day!
3. A small construction company borrowed $500,000 to purchase some heavy machinery to prepare job sites. Some of the money was borrowed at 9% interest, some at 10% interest, and the remainder at 12% interest. The annual interest was $52,000. The amount borrowed at 10% was 2.5 times the amount borrowed at 9%. How much was borrowed at each amount?
Answer:
they have to give money back
Step-by-step explanation:
i said so
Can someone help me with this geometry question ( Ill give brainliest )
The slope of one of the sides of a parallelogram is 5/8. What must be the slope of the opposite side?
Please Explain
A plumber charges $16 for transportation and $33 per hour for repairs.
Complete the expression that can be used to find the cost in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is
h.
Pleas Help
Answer:
16 + 33h = c
Step-by-step explanation:
16 dollars is the bare minimum, plus an additional 33 dollars every hour. If hours are represented by h and the cost is represented by c, we see that:
16 + 33h = c
Please help I don't get this question
Answer:
Its B.
Step-by-step explanation:
FYI you cannot completely solve the equation because there are variables
(so since we dont know what value the variables are, we cant solve the equation fully) , so the most we could do is simplify the equation.
We have to use the distributive property because there are parenthesis.
8 x 3x = 24x
and
8 x 2 y = 16y
Now just combine the answers together: 24x + 16y
Hope this helps :)
A tile is 4 inches long
If 4 tiles are placed sided by side, what would be the approximate total length in centimeters? (1 in 2.54 cm)
Answer:
294.64
Step-by-step explanation:
1 inch has 2.54 centimeters.
Answer:
The Answer is B: 16 Because 1 tile is 4 inches long and 4 tiles is 4x4=16
Step-by-step explanation:
find the value of each expression when z=1,when z=2 and when z =3. then identify which expression are equivalent. 9z - 4-3z and 2(3z-2) and 9z-4z-3
Answer: the answer is :z^3+5z-7
Step-by-step explanation:
250% of what number is 200?
Answer:
Hey there :)) The answer is 500.
Factor the expression below.
4x2 - 1
Answer:
(2x-1)(2x+1)
Step-by-step explanation:
the answer is c
Help me solve the following 5(2x+7)=
Answer:
= 10x+35
Step-by-step explanation:
(5)(2x+7)
(5)(2x)+(5)(7)
=10x+35
The diameter of a cylindrical water tank is 8ft and its height is 11ft what is the volume of the tank?
Answer:
2211.68123
Step-by-step explanation:
Using the formula to find volume of cylinder
V=πr2h=π·82·11≈2211.68123
Which expression is equivalent to 20c – 8d?
2 (10c + 40)
4(50 - 8d)
4(50 – 2d)
c(20 - 8d)
hope this helped is not sorry
What’s the area of this triangle?
Please help I need this ASAP!
Answer:
24!
Step-by-step explanation:
a= h b/2
a = 4 12/2
12/2 = 6
a = 4 x 6
a = 24
and sorry for asking but, if this is right could i please get a thanks & brainliest recently a moderator deleted ALL my answers (over 400 answers) causing me to lose over 3k points so id appreciate it alot thanks xoxo
Answer:
(12 x 4)/2 = 24
Step-by-step explanation:
A whatjapanthinks.com survey asked residents of Japan to name their favorite pizza topping. The possible responses included the following choices: pig-based meats, for example, bacon or ham (PI); seafood, for example, tuna, crab, or cod roe (S); vegetables and fruits (V); poultry (PO); beef (B); and cheese (C). The following data represent the responses of a random sample of 36 people.
V PI B PI V PO S PI V S V S
PI S V V V PI S S V PI C V
V V C V S PO V PI S PI PO PI
a. Prepare a frequency distribution table.
b. Calculate the relative frequencies and percentages for all categories.
c. What percentage of the respondents mentioned vegetables and fruits, poultry, or cheese?
d. Draw a bar graph for the relative frequency distribution.
Answer:
See Explanation
Step-by-step explanation:
Solving (a):
First, we categorize each data (to get their frequencies):
PI PI PI PI PI PI PI PI PI ---> Frequency: 9
S S S S S S S S---> Frequency: 8
V V V V V V V V V V V V V ---> Frequency: 13
PO PO PO---> Frequency: 3
B ---> Frequency: 1
C C ---> Frequency: 2
Total = 36.
The frequency table is as follows:
[tex]\begin{array}{cc}{Pizza\ Topping} & {Frequency} & {Beacon\ or\ Ham} & {9} & {Seafood} & {8} \ \\ {Vegetable\ and Fruit} & {13} & {Poultry} & {3} & {Beef} & {1} & {Cheese} & {2}\ \end{array}[/tex]
Solving (b): The relative frequency and percentage.
Relative frequency is calculated by dividing each frequency by the total frequency.
So, we have:
[tex]{Beacon\ or\ Ham} = \frac{9}{36} =0.250[/tex]
[tex]Seafood = \frac{8}{36} =0.222[/tex]
[tex]Fruits\ and\ Vegetable = \frac{13}{36}=0.361[/tex]
[tex]Poultry = \frac{3}{36}=0.083[/tex]
[tex]Beef = \frac{1}{36}=0.028[/tex]
[tex]Cheese = \frac{2}{36}=0.056[/tex]
The percentage is calculated by multiplying the frequency by 100%.
So, we have:
[tex]Bacon\ or\ Ham = 0.250 * 100\% = 25.0\%[/tex]
[tex]Seafood = 0.222 * 100\% = 22.2\%[/tex]
[tex]Fruits\ and\ Vegetable= 0.361 * 100\% = 36.1\%[/tex]
[tex]Poultry = 0.083 * 100\% = 8.3\%[/tex]
[tex]Beef = 0.028 * 100\% = 2.8\%[/tex]
[tex]Cheese = 0.056 * 100\% = 5.6\%[/tex]
Solving (c): Percentage that mentioned vegetables and fruits, poultry, or cheese?.
This is calculated as:
[tex]\%Percent = Vegetable\ and\ fruits + Poultry + Cheese[/tex]
[tex]\%Percent = 36.1\% + 8.3\% + 5.6\%[/tex]
[tex]\%Percent = 50\%[/tex]
(d) See attachment for bar graph
24 of the cars in the parking lot are blue. about what fraction of the cars in the parking lot are blue
Answer:
all of them are blue so 1
Step-by-step explanation:
Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of all buyers request automatic transmission, 82% of all buyers request built-in GPS, and 77% of all buyers request both automatic transmission and built-in GPS. Hint: It may be useful to draw Venn diagrams for these. What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Answer:
0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Step-by-step explanation:
We solve this question treating these probabilities as Venn sets.
I am going to say that:
Event A: Requesting automatic transmission
Event B: Requesting built-in GPS
90% of all buyers request automatic transmission
This means that [tex]P(A) = 0.9[/tex]
82% of all buyers request built-in GPS
This means that [tex]P(B) = 0.82[/tex]
77% of all buyers request both automatic transmission and built-in GPS.
This means that [tex]P(A \cap B) = 0.77[/tex]
What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95[/tex]
0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
How can you use the distributive property to rewrite 15p+10q as a product?
Which situation about Sam's money could be described using the sum of -2.5 and -10?
A. Sam owes his dad $12.50
B. Sam earned $12.50
C. Sam owes his dad $7.50
D. Sam earned $7.50
Answer
C. Sam owes his dad $7.50
Step-by-step explanation:
because none are correct but tat is te closetes one
NEED ANSWERS FASSSTTT!!
Answer:
answer c)
Step-by-step explanation:
Hope this helps you out
drag each interval to a box to show us the function shown is increasing decreasing or neither over that interval
will give brainliest!!
Answer:
Increasing : -10<x<-8, -2<x<0
Decreasing : 3<x<7
Neither Increasing or Decreasing : -8<x<-5, 8<x<10
Step-by-step explanation:
this is 100% correct. please mark me brainliest!