Answer:
[tex]P = 1900 + 40N[/tex]
[tex]P = 2980[/tex] when N = 27
Step-by-step explanation:
Given
[tex]Base\ Salary = 1900[/tex]
[tex]Additional = 40[/tex] per copy
Solving (a): Her total pay (P)
This is represented by:
[tex]P = Base\ Salary + Additional * N[/tex]
[tex]P = 1900 + 40 * N[/tex]
[tex]P = 1900 + 40N[/tex]
Solving (b): Total pay when N = 27
Substitute 27 for N
[tex]P = 1900 + 40 * 27[/tex]
[tex]P = 1900 + 1080[/tex]
[tex]P = 2980[/tex]
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
Answer:
A. 0.2734 = 27.34% probability that there are an equal number of boys and girls
B. 0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
Step-by-step explanation:
In each of these questions, the binomial probability distribution is used.
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.
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
8 children means that [tex]n = 8[/tex]
Each children is equally as likely to be a boy or a girl, which means that [tex]p = 0.5[/tex]
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734[/tex]
0.2734 = 27.34% probability that there are an equal number of boys and girls
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
80% accurracy rate means that [tex]p = 0.8[/tex]
7 questions means that [tex]n = 7[/tex]
The probability is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.8)^{5}.(0.2)^{2} = 0.2753[/tex]
0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
if anyone know the answers to this question i really need help.
Answer:
b.) 6
Step-by-step explanation:
2^6 = 64 because 2 * 2 * 2 * 2 * 2 * 2 = 64.
A company has offices in two different countries. Suppose that the average age (in years) of the employees at location A is 40.140.140, point, 1 with a standard deviation of 5.55.55, point, 5, and the average at location B is 36.736.736, point, 7 with a standard deviation of 6.36.36, point, 3.
Every month, the company takes separate random samples of 505050 employees from each location for a survey. Each time, they look at the difference in the mean age sampled from each location \left( \bar{x}_\text{A} - \bar{x}_\text{B} \right)(
x
ˉ
A
−
x
ˉ
B
)left parenthesis, x, with, \bar, on top, start subscript, start text, A, end text, end subscript, minus, x, with, \bar, on top, start subscript, start text, B, end text, end subscript, right parenthesis.
What do we know about the shape of the sampling distribution of \bar{x}_\text{A} - \bar{x}_\text{B}
x
ˉ
A
−
x
ˉ
B
x, with, \bar, on top, start subscript, start text, A, end text, end subscript, minus, x, with, \bar, on top, start subscript, start text, B, end text, end subscript, and why?
Answer:
It's approximately normal, because both sample sizes are at least 303030.
Step-by-step explanation:
Khan Academy
17 apples for $3.91 what is the unit rate per apple
9514 1404 393
Answer:
$0.23 per apple
Step-by-step explanation:
The cost per apple is found by dividing the cost by the number of apples. (You can think of "per" as meaning "divided by".)
cost/apple = $3.91/(17 apples) = $0.23 /apple
4x + y=7
2x - 7y=1
If (x,y) is the solution to the given system of equations, what is the Value of X?
Answer:
[tex]x = \frac{5}{3} [/tex]
Determine whether each sequence appears to be an arithmetic
sequence. If so, find the common difference and the next three terms
in the sequence.
1) 3,9,26,81 ...
2) 5,6.5,8,9.5...
THIS IS AN ESSAY NOT JUST AN ANSWER
Prompt:
What does it mean to multiply polynomials?
Explain how to multiply (x + 2) (X - 4) as if you're teaching a student a year
younger than you.
Answer:
We assume before this you have learned how to multiply two monomials and monomial with binomial.Use the following formula to multiply binomials:
(a + b)(c + d) = ab + ad + bc + bdApplied to the given expression, we have:
(x + 2)(x - 4), where a = x, b = 2, c = x , d = -4Expand as indicated above:
(x + 2)(x - 4) =x(x) + x(-4) + 2(x) + 2(-4)Now simplify
x² - 4x + 2x - 8Collect like terms, (-4x) and (2x):
x² + (-4x + 2x) - 8 = x² - 2x - 8This is how you can do same order operations with any binomials.
We can simply use distributive law of grade 1
(a+b)(c+d)=ac+ad+bc+bdI assume you know multiplication of monomials
So
(x+2)(x-4)x(x-4)+2(x-4)x²-4x+2x-8x²-2x-8Simplify the complex fraction. 2/3m-1/2m 3m/3+4/5m
Answer:
131m/210 I THINKKKKK
Step-by-step explanation:
RNDJDJDJSJD
-.25z=-1.25 What is Z?
Answer:
z=5
Step-by-step explanation:
Can you help me with this if you’re a smart person
need help on edge 6th grade math
Answer: a, 7ft
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
Help plz right answer only help me
Write the rule for the nth term of the sequence 2, 6, 18, 54, ... Then find a8.
Answer:
Multiply by 3
a8 = 4,374
Step-by-step explanation:
Consider the following question.
"Do you watch television every day?"
Which of the following statements BEST explains why the question is NOT a statistical question?
A The question does not anticipate variability in the answers
B The question results in a single absolute answer.
C The question may be answered differently by different people.
D. The question does not require an explanation
Answer:
a
Step-by-step explanation:
Answer:
C, the only info for the question is about yourself which is a survery question
Step-by-step explanation:
A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 27 subs today. How many of each kind
did they sell?
Answer:
4+5=9
27÷9=3
they sold 3 types of each because if you do 3×5=15 and 3×4=12 and add 12 and 15 you get 27.
IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.
Complete question is missing, so i have attached it.
Answer:
Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
The amount C in grams of carbon-14 present in a certain substance after t years is given by
C = 52e-0.0001097
a. What is the initial amount of carbon-14 present?
Answer:
987e-628479.9079083
Step-by-step explanation:
Answer:
maybe 7
Step-by-step explanation:
Please help me solve
Answer:
s= -2
Step-by-step explanation:
Help please!!!!!!!!!!
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
Which of the following is the MOST reasonable equation for the line of best fit?
Answer:
either c or b that's what I think
K.8 Complete a table and graph a proportional relationship 7th grade math
but it has to be in a zooom bc its alot of questions
Answer:
Someone gave me da link to dis
Step-by-step explanation:
It's Friday afternoon and six fraternity brothers at UNC have just attended their last class of the semester. To unwind before the final exam Monday morning, they decide to spend the weekend at the beach. After a weekend of immature, irresponsible behavior, they oversleep Monday morning and miss the final exam. Later that day they go to their professor (who received her Ph.D. from NC State) and explain that they went to the beach and were on the way back for the final exam but their car (a BMW of course) had a flat tire. The professor says that they can come back the next morning and she will give them a make-up final exam consisting of one short-answer question! The students are ecstatic and high-five each other all the way back to the frat house. The next morning the professor puts each student in a different room and hands them their one-question test. The question: Which tire?
Required:
What is the probability that all 6 students will say that the same tire was flat?
What equation is equivalent to 6x + 13 - (3x - 7)
Answer:
6x + 12 - (3x - 7)
6x + 12 - 3x + 7
3x + 19
Step-by-step explanation:
Simplifying
6x + 13 + -3x + -7 = 0
Reorder the terms:
13 + -7 + 6x + -3x = 0
Combine like terms: 13 + -7 = 6
6 + 6x + -3x = 0
Combine like terms: 6x + -3x = 3x
6 + 3x = 0
Solving
6 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = 0 + -6
3x = 0 + -6
Combine like terms: 0 + -6 = -6
3x = -6
Divide each side by '3'.
x = -2
Simplifying
x = -2
Suppose someone takes out a home improvement loan for $30000. The annual interest on the loan is 6% and is compounded monthly. The monthly payment is $600. Let a denote the amount owed at the end of the nth month. The payments start in the first month and are due the last day of every month - this means in a given month interest is added first, and then the payment is applied to the resulting loan Balance.
a. Give a recursive definition for a,. including the recurrence relation and the base case.
b. Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month?
Answer:
a) Initial (Base) a[tex]_0[/tex] = 30000
b) the monthly payment needs to $150
Step-by-step explanation:
Given the data in the question;
a. Give a recursive definition for a,. including the recurrence relation and the base case.
the annual interest on the loan is 6% compounded monthly;
⇒ i = 6% / 12
i = 0.5%
so, the recurrence relation is a[tex]_n[/tex] = a[tex]_{n-1}[/tex]( 1 + i/100) - 600
Here Initial (Base) a[tex]_0[/tex] = 30000
b) Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month
Let p be the required monthly payment,
then the condition will be; a[tex]_n[/tex] ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - p ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - a[tex]_{n-1}[/tex] ≤ p
a[tex]_{n-1}[/tex]( 1 + i/100 - 1) ≤ p
a[tex]_{n-1}[/tex]( i/100 ) ≤ p
a[tex]_{n-1}[/tex] ≤ p ( 100/i )
a[tex]_{1-1}[/tex] ≤ p ( 100/0.5 )
a[tex]_0[/tex] ≤ p (200)
we know that; a[tex]_0[/tex] = 30000
so
30000 ≤ p (200)
p ≤ 30000 / 200
p ≤ 150
Therefore, the monthly payment needs to $150
Im a game with 10 floating ducks,there are 2 ducks with a green dot on the bottom,3with a blue dot and 5 with a red dot.What is the probability of selecting a green duck
Answer:
2/10 or 1/5
Step-by-step explanation:
There are a total of 10 ducks, and only 2 have green dots.
So the probability would be 2 / 10, which simplifies to 1 / 5.
Greatest common factor of 2 and 10: 2
So: 2 ÷ 2 = 1
10 ÷ 2 = 5
Factorise the following.
Answer:
iii. (l + m - n)(l - m + n)
vi. (5a -b) ( 5b - a)
Step-by-step explanation:
iii. l² - (m - n)²
= (l + m - n)(l - m + n)
vi. 4(a+b)² - 9(a-b)²
= (2(a+b))² - (3(a-b))²
= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))
= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)
= (5a -b) ( 5b - a)
Q. 1) l²- (m - n)²
=(l - m + n)(l + m - n)
Q.2) 4(a+b)²- 9(a-b)²
= [(2(a+b))²- (3(a-b))²]
=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]
=[2a+2b+3a-3b][2a+2b-3a+3b]
=[5a-b][5b-a] ]
Find the coordinates of the midpoint between the two
points on the graph.
Answer:
(0,2)
Step-by-step explanation:
Cords are ( 0, 4 ) and ( 4, -4)
x1 + x2 / 2 , y1 +y2/2
0 + 4 / 2 , 4 - 4 / 2
4/2,0/2
(2,0)
2 cups is to 8 cans as 14 cups is to ___ cans?
Answer:
56
Step-by-step explanation:
The ratio is 1:4
14 * 4 = 56
Answer: 56
Step-by-step explanation:
8 ÷ 2 = 4 (cans) - it is 1 cup.
14 × 4 = 56 (cans) - it is 14 cups.
PLEASE HELP ASAP! thank you!
help with geometry question please
Answer:
Length of parallel side 2 = 2.91 km
Step-by-step explanation:
Given figure is a trapezoid
Given:
Area of trapezoid = 16.3 km²
Length of parallel side 1 = 5.9 km
Height of trapezoid = 3.7 km
Find:
Length of parallel side 2
Computation:
Area of trapezoid = [Sum of parallel side/2]Height
Area of trapezoid = [(a+b)/2]h
[(5.9 + b)/2]3.7 = 16.3
Length of parallel side 2 = 2.91 km