Answer:
252 ; 0.00593 ; 0.0074 ; 0.9926 ; 0.347
Step-by-step explanation:
A.)
n = 10 ; r = 5
Required outcome :
nCr = n! ÷ (n-r)!r!
10C5 = 10! ÷ (10-5)!5!
(10*9*8*7*6) / (5*4*3*2*1)
= 252
B.)
Total possible outcome : 24C5 = 42504
P(all will be from day shift) = 252 / (24C5) = 0.00593
C.)
P(all will be from the same shift) :
[(10C5)+(8C5)+(6C5)] ÷ 24C5
(252 + 56 + 6) / 42504 = 0.0074
D.)
Probability that at least 2 different shift will be represented :
1 - P(all will be from the same shift)
1 - 0.0074 = 0.9926
D.)
Probability that atleast one of the shift will be unrepresented :
(10+6C5) + (8+6C5) + (10+8C5) - (10C5)+(8C5)+(6C5)
[16C5 + 14C5 + 18C5 - 10C5 + 8C5 + 6C5] ÷ 24C5
(4368 + 2002 + 8568 - 252 + 56 + 6) / 42504
= 14748 / 42504
= 0.347
find the formula for the nth term in the given sequence 12,36,108,324,972
Answer:
[tex]\huge\boxed{a_n=12\cdot3^{n-1}=4\cdot3^n}[/tex]
Step-by-step explanation:
[tex]a_1=12\\\\a_2=36=3\cdot12=3a_1\\\\a_3=108=3\cdot36=3a_2=3\cdot3a_1=3^2a_1\\\\a_4=324=3\cdot108=3a_3=3\cdot3^2a_1=3^3a_1\\\\a_5=972=3\cdot342=3a_4=3\cdot3^3a_1=3^4a_1\\\vdots\\a_n=3^{n-1}a_1=3^{n-1}\cdot12\\\\3^{n-1}\cdot12=3^{n-1}\cdot3\cdot4=3^{n-1+1}\cdot4=4\cdot3^n[/tex]
[tex]\text{Used}\\\\a^n\cdot a^m=a^{n+m}[/tex]
16d + 20c + 5d -7 - 8c - 7d + 3 Evaluate the expression if: d= -3 and c= 4
Answer:
2
Step-by-step explanation:
d.
16x-3= -48
5x-3= -15
-7x-3= 21
=-42
c.
20x4= 80
-8x4= -32
= 48
-7+3= -4
Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?
Answer:
5 hotdogs
Step-by-step explanation:
Deduct the price of French fries + drink from the total amount of money he has.
5.00 - 0.80 - 0.95 = 3.25
Divide the amount of money left with the amount of money each hotdog cost.
3.25 ÷ 0.65 = 5
If the area of the rectangle is 35 units squared, where could point “B” be placed?
Answer:
(2,0) or (2, -4)
Step-by-step explanation:
Hope that helps!
what is the quotient of 0.6÷243
Answer:
the answer is 0.0024
Step-by-step explanation:
there are more digit's after 4 but hope this is enough
Which one is true pls answer
Answer:
C. All rectangles are quadrilaterals.
Step-by-step explanation:
Quadrilaterals are shapes that have 4 sides, so all rectangles are quadrilaterals, along with squares, rhombus' and other 4 sided shapes.
1) Rewrite the expression as the difference of two squares.
(X+y)(x-y)-6x+9
A) (x + 3)2 + y2
B) (x + 3)2 - y2
c)(x – 3)2 + y2
D) (x – 3)2 - y2
Answer:
c
Step-by-step explanation:
Is the answer
Given f(x) = -(x - 5)^2 + 1, what is the value of a?
PLEASE HELP WITH THIS I WILL MARK YOU AS BRAINLIEST PLS AND TY
Answer:
it would be multiplying by 2 Soo 2•2= 4
and 4•2= 8. and 6•2 = 12. and 8•2=16 and 10•2=20
PLSSS SHOW UR WORK AND HOW YOU GOT THE ANSWER FOR THIS also help me quickly pls!!
Delroy is going to a dog adoption day at his local animal shelter. he wants to make 4 batches of the biscuits for the dogs. how many cups of margarine will he need?
A significance test is conducted for which the alternative hypothesis states that more than 85 percent of adult sea turtles on a certain beach are female. The p-value for the test is 0.4158. If the null hypothesis is true, which of the following statements is a correct interpretation of the p-value?
a. Of all possible samples of the same size, 41.58 percent will result in 85 percent of adult sea turtles on the beach being female.
b. Of all possible samples of the same size, 41.58 percent will result in 85 percent or more of adult sea turtles on the beach being female.
c. Of all possible samples of the same size, 41.58 percent will result in 85 percent or less of adult sea turtles on the beach being female.
d. Of all possible samples of the same size, 20.79 percent will result in 85 percent or more of adult sea turtles on the beach being female.
e. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being female.
Answer:
d. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being females.
Step-by-step explanation:
Hypothesis testing is conducted to test an observation against the null hypothesis. P-value is calculated to determine whether to accept or reject the null hypothesis. In the given case the p-value is 0.4158 which means null hypothesis is true.
The whole bar weighs 60 grams. How much does 1/4
of the bar weigh?
Answer:
15 grams
Step-by-step explanation:
Answer:
1/4 of the bar is 15 grams
what is the vertex of f(x)=7(x+15)^2
Answer:
y = a ( x − h ) 2 + k
Step-by-step explanation:
https://socratic.org/questions/what-is-the-vertex-form-of-y-2x-2-7x-15#243713
Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA
Answer:
Second one:
AAS
Step-by-step explanation:
searched it
Angelica calculated the distance between the two points shown on the graph below.
On a coordinate plane, line A B has points (2, negative 5) and (negative 4, 5).
Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.
Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.
Step 3: Substitute the values into the Pythagorean theorem: 10 squared = 6 squared + c squared.
Step 4: Evaluate 10 squared = 6 squared + c squared. 100 = 36 + c squared. 64 = c squared. 8 = c.
She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be c squared = 6 squared + 10 squared.
Answer:
D
Step-by-step explanation:
The length of the side AB is 8 units, which Angelica calculated correctly.
What is the distance formula between two points?The distance formula between two points,
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
From the given information AC = 6 units and BC = 10 units.
Therefore, The length of the side AB² = 10² - 6².
AB² = 100 - 36.
AB² = 64.
AB = 8 units.
learn more about Pythagoras's theorem here :
https://brainly.com/question/343682
#SPJ3
Find the circumstances of a circle of the radius 15 CM
What is 4w^2? Plz answer!!!
Please help with this slope problem!!
7. Mrs. Dyson asked her students to draw a figure with a perimeter of 4x+4.
Shown below are 4 drawings made by her students. (They are not drawn to
scale.) Which one is NOT correct? *
Answer:
the answer is b
Step-by-step explanation:
Put the following rational numbers in order from least to greatest.
-8.2, 0.4, -2.5, 2.4
Answer:
-8.2,-2.5,.4,2.4
Step-by-step explanation:
start by negatives. negatives are lesser the higher they are. so -8.2 is less than -2.5. then positives are greater than negatives. .4 is less than 2.4. hope this helps
if 3/4 of a certain number is equal to 4 1/2, find the number
Answer:
6
Step-by-step explanation:
3/4x = 9/2
4/3 * 9/2 = 36/6
6
The number in the mathematical statement is 6
How to determine the number?Let the number be x.
So, the equation can be represented as:
3/4 * x = 4 1/2
Express the fraction as an improper fraction
3/4 * x = 9/2
Multiply through by 4/3
x = 6
Hence, the number is 6
Read more about products at:
https://brainly.com/question/10873737
#SPJ9
Question 3
Circle A has area of 500 in^2. The diameter of Circle B is three times the diameter of circle A. Estimate the area of circle B.
Answer:
750^2
Step-by-step explanation:
backtrack and find the diameter of circle A. A=πr, which means the diamater is about 159 1/11. three times the diameter will give 477 3/11, so the radius is 238 7/11. multiply it to 22/7 (π) then you get 750^2.
A classroom of students has their heights measured (in inches) for statistics investigation. The tallest student in the class is 71 inches tall. One student is assigned to record all the values. That student made a mistake when recording one of the values. When they meant to record the 71, they accidentally entered 711. What is the affect of this mistake on the median and IQR?
Answer:
This mistake has no effect on the median and IQR, since it will be an outlier.
Step-by-step explanation:
xth percentile:
If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.
Median:
The 50th percentile is called median.
Interquartile Range:
Difference between the 75th and the 25th percentile.
In this question:
Tallest student measures 71 inches, but with a mistake, it was accidentaly entered 711.
However, since the mean and the median are related to the percentiles, in the middle of the distribution, they wont be affected by an outlier such as this.
chase travel 192 miles in 16 hours on his inline skates .What is his unit rate in milees per hour
Answers
a 1 mph
b 0.083
c 12 mph
d 24 mph
how much is 1000 subtract 4
Answer:
your answer is 996
1000 - 4 = 996
A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Identify the FALSE statement: Group of answer choices At least 25% of the students scored a 67 or below. At least 18 students scored below a 67. At least 9 students scored between 67 and 73. At least 25% of the students scored an 81 or above.
Answer:
At least 18 students scored below a 67.
Step-by-step explanation:
Given the 5 number summary of scores obtained by 37 students in a test worth 100 points :
55, 67, 73, 81, 98
Minimum = 55
Q1 = 67
Q2 = 73
Q3 = 81
Maximum = 98
Q1 = first quartile = 25%
Atleast 25 % scored below 67 (True)
25% of 37 students = 0.25 * 37 = 9.25
Atleast 9 students scored below 67 (True)
Median, Q2 = 50%
Score between Q2 and Q1 = 50% - 25% = 25% ;
Hence, atleast 25 students scored between 73 and 67 ; meaning (0.25 *37) = 9.25 students Hence. Atleast, 9 students scored between 73 and 67 (True)
Third quartile = 75%
Percentage above third quarterile = (100 - 75)% = 25%
Hence, atleast 25% scored above 81 (True)
The false statement is At least 18 students scored below a 67.
let x = -11/8 and y = -11/4 Which expression has a negative value? A. x + y B. x - y C. x . y D. x/y
A color printer prints 23 pages nine minutes how many minutes does it take per page
Answer: 2 pages
Step-by-step explanation:
Answer:
2.55555555555555555555555555556
find the value of x
Answer:
X=65.4 Degrees
Step-by-step explanation:
Hehe ;)
If f(x) = (3+x)/ (x-3),what is f(a+ 2)?