Complete Question:
Yanay gets a lot of spam calls. An area code is defined to be a three digit number from 200-999 inclusive. In reality, many of these area codes are not in use, but for this question we'll simplify things and assume they all are.
Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804?
Answer:
1/6400 or 0.0000015625
Step-by-step explanation:
Given
Area Codes = 200 to 999 (inclusive)
Required
Determine the probability that back to back calls have area code 804
[First, we need to calculate the totality of area codes]
Total Area Codes = 999 - 200 + 1
Total Area Codes = 800
The probability of each code is 1/800
So, the probability of having back to back code of 804 is:
Probability = 1/800 * 1/800
Probability = (1/800)²
Probability = 1/640000
Hence, the required probability is 1/640000 or 0.0000015625
2. Following are the marks obtained by a batch of 10 students in a
certain class tests in statistics (X) and accountancy (Y).
1 2
Roll No.
3 4
5 6 7 8 9 10
X 63 64 62 32 30 60 47 46 35 28
Y 68 66 35 42 26 85 44 80 3372
In which subject is the level of knowledge of the students higher?
Answer:
Students level of knowledge is higher in accountancy (Y) compared to statistics (X).
Step-by-step explanation:
The level of knowledge of the students in each subject can be known by comparing the mean score of the subjects.
Marks of the students in statistics (X) are: 63 64 62 32 30 60 47 46 35 28
mean = [tex]\frac{63 +64+62+32+30+60+47+46+35+28}{10}[/tex]
= [tex]\frac{467}{10}[/tex]
= 46.7
The mean mark of students in statistics (X) is 46.7.
Marks of students in accountancy (Y) are: 68 66 35 42 26 85 44 80 33 72
mean = [tex]\frac{68+66+35+42+26+85+44+80+33+72}{10}[/tex]
= [tex]\frac{551}{10}[/tex]
= 55.1
The mean mark of students in accountancy (Y) is 55.1.
It can be inferred that students level of knowledge is higher in accountancy (Y) compared to statistics (X).
Rewrite the following to show the distributive property
4x(5+3)
Step-by-step explanation:
4x+8
basically u solve the number that is in parentheses then you are left with the number with a variable so u can't solve so that's ur equation
Answer:
32x
Step-by-step explanation:
1. rewrite
4x(5)+4x(3)
4(3) means 4*3
2. multiply
4x(5)= 20x
4x(3)= 12x
20x+12x
3. combine like terms
20x+12x= 32x
32x
If this is right can you make me brainliest
The IQ scores of the middle 50% of a population can be written as
I
100
15
where x is a person's IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.
x 270 and x s 130
Ox570 and x 2 130
Oxs 90 and x 2 110
x 290 and x s 110
Complete question :
The IQ scores of the middle 50% of a population can be written as (x - 100) / 15 ≤ 2/3
Answer: 90 ≤ x ≤ 110
Oxs 90 and x 2 110
Step-by-step explanation:
Given the inequality:
The middle 50% of the population :
(x - 100) / 15 ≤ 2/3
The upper bound :
(x - 100) / 15 ≤ 2/3
multiply both sides by 15
(x - 100) / 15 * 15 ≤ 2/3 * 15
(x - 100) ≤ 2/3 * 15
x - 100 ≤ 10
x ≤ 10 + 100
x ≤ 110
The lower bound :
- (x - 100) / 15 ≤ 2/3
(-x + 100) / 15 ≤ 2/3
multiply both sides by 15
(-x + 100) / 15 * 15 ≤ 2/3 * 15
(-x + 100) ≤ 2/3 * 15
-x + 100 ≤ 10
-x ≤ 10 - 100
-x ≤ - 90
x ≤ 90
90 ≤ x ≤ 110
Help anyone need it asap
8th grade math
Answer:
Step-by-step explanation:
4(3x - 5) = 6x - 2 Remove the brackets
12x - 20 = 6x - 2 Subtract 6x from both sides
12x - 6x - 20 = -2 Add 20 to both sides
6x = -2 + 20
6x = 18 Divide both sides by 6
x = 18/6
x = 3
Answer:
you answer is 0
Step-by-step explanation:
If you do the math it goes to this
4(3x-5)=6x-2
x=?
so you would do the distributive property for the perenthasese
so..
4(4x3X-4x5) = 4x3= 12x. 4x5=20. 12x-20= -8x
then you would do 6x-2 = 4x
then 8x+4x=0
Can some one
help please I don’t understand this problem.
This is for regular Geometry.
can someone tell me what is 29% as an decimal
Answer:
0.29
Step-by-step explanation:
29% = [tex]\frac{29}{100}[/tex] = 0.29
29% as a decimal is 0.29 :)
Alicia drove at a constant speed and traveled 183 miles in 3 hours. What is her rate in miles per hour?
Answer:
671 miles.
Step-by-step explanation:
Why does pi to trillions of places still not have a precisely even distribution of each digit?
No answer needed!
Here’s some information about what Pi (π) is:
Intro
Pi (π) is a number whose decimal digits go on forever and they don’t repeat itself. It’s in the category called irrational numbers, because you can’t rationalize pi.
History
Before pi was created, famous philosophers used tape measure to measure the ratio between the circumference and diameter of a circle. And when they did, they found out that the ratio between the circumference and diameter was roughly about 3.1. But as mankind evolved to have better tape measures and more technology they can use, they found out that the ratio between the circumference and diameter had a number that kept on going forever. It would go like 3.1415926.... and it would go on and on. So, the number pi was introduced by scientists and mathematicians found out that pi turned out to be an irrational number.
Daily Usage
Pi was turned into the symbol π so people don’t have to write the full digits of pi. But now we use pi now in our daily mathematical lives. Pi is almost in every form of mathematics, especially in geometry and trigonometry. Pi is full of new things and it really expanded our understanding of mathematics.
Pi (π) truly has an interesting and fascinating history
Hope this helps! :)
HELPP!!! PLEASE MATH!!!!!!!
Answer:
-5
Step-by-step explanation:
1.) Mr. Tomlinson earns $17.50 per hour at his job. When he works over 40
hours in a single week, he earns $17.50 per hour plus an additional $5.25
per hour. Last week, Mr. Tomlinson worked 47 hours. How much money
did he earn from working 47 hours in a single week?
O
$736.75
O
$822.50
О O
$859.25
O
$1,069.25
Answer:
he made $859.25. A lot of money
WILL MARK BRAINLIEST please help geometry problem in the picture
Answer:
I think its c im rlly sorry if im wrong
Step-by-step explanation:
Im trying to get to vituoso :3
Brainliest for right answer
Answer:
Yes
Step-by-step explanation:
If you notice, X goes up 1/4 or 0.25 every time and Y goes up 3 everytime.
So they are proportional. H
Hope this helps plz hit the crown :D
Answer:
No it doesn't
Step-by-step explanation:
The proportional relationship in x is not the same as y for there to be a relationship it could be like 2, 4, 6, 8 etc
Mating eagle pairs typically have two baby eagles (called eaglets). When there are two eaglets, the parents always feed the older eaglet until it has had its fill, and then they feed the younger eaglet. This results in an unequal chance of survival for the two eaglets. Suppose that the older eaglet has a 50 percent chance of survival. If the older eaglet survives, the younger eaglet has a 10 percent chance of survival. If the older eaglet does not survive, the younger eaglet has a 30 percent chance of survival. Let X be the number of eaglets that survive. Which of the following tables shows the probability distribution of X?A. x 0 1 2 p(x) 1/3 1/3 1/3B. x 0 1 2 p(x) 1/4 1/2 1/4C. x 0 1 2 p(x) 0.35 0.60 0.05D. x 0 1 2 p(x) 0.05 0.90 0.05E. x 0 1 2 p(x) 0.10 0.30 0.50
Answer:
C. x 0 1 2 p(x) 0.35 0.60 0.05
Step-by-step explanation:
50% chance of survival
Let:
x = older eaglet survive
y = younger eaglet survive
Hence,
P(x = 0) (none of the eaglet survive)
P(x = 1) (only one survive)
P(x = 2) (both survive)
P(x) = 0.5
P(x') = 1 - 0.5 = 0.5
P(x n y) = 0.5 * 0.1 = 0.05 ( both survive)
P(only one survive)
P(y n x') + p(y' n x)
(0.5 * 0.3) + (0.5 * (1 - 0.1))
0.15 + 0.45 = 0.6
P(none survives)
1 - (0.60 + 0.05)
= 0.35
X _______ 0 ______ 1 ______ 2
P(x) ____ 0.35 ____ 0.60 ___ 0.05
The probability distribution of the number of eaglets is the set of the
probabilities of the number of surviving eaglets.
The table that shows the probability distribution is the option C;
[tex]C. \ \overline{\underline{\begin{array}{|c|c|c|c|}x&0&1&2\\P(x)&0.35&0.60&0.05\end{array}\right] }}[/tex]
Reasons:
The probability that the older eaglet survives P(O) = 0.5
Therefore;
The probability that the older eaglet does not survives P(O') = 1 - 0.5 = 0.5
The chance of survival of the younger eaglet, where the older eaglet survives P(Y|O) = 10%
Therefore;
The chance that the younger eaglet does not survive, where the older eaglet survives P(Y'|O) = 1 - 10% = 90%
The chance of survival of the younger eaglet, where the older eaglet does not survives P(Y|O') = 30%
Therefore;
The chance that the younger eaglet does not survive, where the older eaglet does not survives P(Y'|O') = 1 - 30% = 70%
The probability distribution, P(X) is the set of possible probability of the number of eaglets that survive, which is given as follows;
The set of possible outcomes are;
Non survives:
The probability that non of the eaglets survives = P(O') × P(Y'|O') = 0.5 × 0.7 = 0.35Only one survives:
The probability that only one of the eaglet survives = P(O) × P(Y'|O) + P(O') × P(Y|O'), which gives; P = 0.5 × 0.9 + 0.5 × 0.3 = 0.6Both survives:
The probability that both of the eaglet survives = P(O) × P(Y|O) = 0.5 × 0.1 = 0.05The table of the probability distribution is therefore;
[tex]C. \ \overline{\underline{\begin{array}{|c|c|c|c|}x&0&1&2\\P(x)&0.35&0.60&0.05\end{array}\right] }}[/tex]
Learn more here:
https://brainly.com/question/17466045
A newborn baby weighs 3.136 x 10 units. Which unit of measure was used?grams
ounces
pounds
tons
Answer:
a
Step-by-step explanation:
The value given below is discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability. Probability of 8 passengers who do not show up for a flight:_______
a. the area to the right of 3.5
b. the area to the left of 2.5
c. the area to the right of 2.5
d. the area to the left of 3.5
e. the area between 2.5 and 3.5
Complete question is;
The value given below is Discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability:
Probability of more than 3 passengers who do not show up for a flight:
a)the area to the right of 3.5
b)the area to the left of 2.5
c)the area to the right of 2.5
d)the area to the left of 3.5
e)the area between 2.5 and 3.5
Answer:
A: the area to the right of 3.5
Step-by-step explanation:
Option A: The area to the right of 3.5 is the probability that there are more
than 3 passengers that don't show up for a flight.
Option B: The area to the left of 2.5 gives the probability that there will be fewer than 3 passengers that don't show up for a flight.
Option C: The area to the right of 2.5 gives the probability that there are more than 2 passengers that don't show up for a flight.
Option D: The area to the left of 3.5 gives the probability that there are fewer than 4 passengers that don't show up for a flight.
Option E: The area between 2.5 and 3.5 gives the probability that there are exactly 3 passengers that don't show up for a flight.
Thus, the correct option is A.
Did you hear the story about the piece of butter?
Answer:
I believe once it saw the cast iron skillet's beauty, it melted.
Step-by-step explanation:
No clue just that was the first thing in me mind.
WILL MARK BRAINLIEST, PLEASE HAALLPPP TT^TT
PLEASE don`t respond without an answer!
A basketball is thrown upward from a height of 1.8 m at a velocity of 12 m/s. How long until it reaches the ground?
(Recall: h(t)=-4.9t^2-v_0 t+h_0, where v_0 is initial velocity and h_0 is initial height.)
Answer:
here have a nice life
Step-by-step explanation:
1 Lecture 15: Rates of change
1.1 Outline
• Rates of change, velocity, acceleration.
• Marginal rates
• Equation of motion for objects falling under constant gravity
• Interpreting position and velocity graphs
1.2 Rates of change
If f(t) is a function depending on time, then we can write down the average rate of
change on an interval [t1, t2],
f(t2) − f(t1)
t2 − t1
.
We have defined the instantaneous rate of change at a time t as the limit
f
0
(t) = limr→t
f(r) − f(t)
r − t
.
This is also called the derivative. Thus, instantaneous rate of change is another name
for the derivative. In applications the name rate of change is more descriptive.
If s(t) gives the position of a particle as it moves along a line, then
v(t) = limk→0
s(t + k) − s(t)
k
gives the instantaneous velocity. If position is measured in meters and time in seconds,
the velocity v is measured in meters/second. We will abbreviate meters by m and
seconds by s so that the units for velocity are m/s.
As a second example, let v(t) be a function which gives the v
Please hurry I need number 19
Answer: c
Step-by-step explanation:
A worker can assemble 5 motors in 2 hours which of the expressions below could be used to find how long it would take the worker to assemble 50 motor
Step-by-step explanation:
20 hours to assemble 50
Find the equations of the line that:
A: Passes through the point (1,7) and (4,10)
B: Passes through the point (-2,10) and (4,10)
Answer: Part A: y = x + 6
Part B: y = 10
The attachment shows the graphs of these equations.
Step-by-step explanation:
Find the slope, and then the y-intercept. Then write the equation in Slope-intercept form . y= mx+b
m is the slope. b is the constant, the y-intercept.
First find the slope: rise/run
Rise is the difference in y-values 10-7 = 3
Run is the difference between x-values 4 - 1 = 3
The Slope is 3/3 simplify:
m = 1
Use this calculated slope with values of y and x from either of the given coordinates and calculate b
y = mx + b
10 = 1(4) + b The 1 is not necessary, its "implied" and invisible as a factor in multiplication
10 = 4 + b . subtract 4 from both sides 10 - 4 = 4 - 4 + b
6 = b
Put these calculated values for m and b into the slope-intercept equation"
y = x + 6
_________
Part B: Step-by-step explanation: Slope-intercept form . y= mx+b
First find the slope: rise/run
Rise is the difference in y-values 10 - 10 = 0
At this point you know that if the slope is 0, it is a horizontal line intersecting the y-axis at the y-value, 10
That graphed line will pass through All x-values.
Help asp pls help me
Answer:
159.70 in total. Because you need to multiply the cost for the adults shirt with the amount of shirts, do the same for youth and add your answers.
It is 7:25 A.M. when Jackie starts eating breakfast, and it takes her 20 minutes to eat. What time will it be when Jackie finishes breakfast?
Answer:
Step-by-step explanation:
Jackie will finish her breakfast at 7:25 plus 20 minutes= 7:45 AM
Answer:
It will be 7 45 I'm pretty sure I'm sorry if this is wrong
Step-by-step explanation:
Dr Wyzard passed out bags of Starburst for the best students. One bag contains 5
orange, 2 pink, and 3 yellow. What is the probability of randomly selecting an orange
candy, eating it, then randomly selecting another orange?
4/10 or 2/5 simplified
Hope this helps you out!
the total bill for repairing john's tv was $131.50. the repair shop charges $25 an hour for labor plus $19 for parts. how many hours of labor did it take to repair john's tv?
Answer:
4.5 hours (or 4 hours and 30 minutes)
Step-by-step explanation:
subtract 19 from 132.50, then divide 131.50 by 25.
The mass is 500 grams and the volume is 40 cubic centimeters.
Answer: is there a question for/to the numbers gjven
MATH 123 at the downtown Indianapolis campus has approximately 580 students enrolled. In Lawrence, MATH 123 has a total of 340 students enrolled. Find the relative change of BOTH scenarios and complete the each sentence below. The downtown Indianapolis campus has % more students enrolled than at the Lawrence campus. % less The MATH 123 enrollment numbers for Lawrence are than those enrolled at the downtown Indianapolis campus.
Answer:
The downtown Indianapolis campus has 71% more students enrolled
The math 123 enrollment for Lawrence are 41% less than those enrolled downtown.
Step-by-step explanation:
What is the value of the expression?
Answer:
41
Step-by-step explanation:
Use the correct order of operations and do one step at a time to avoid making mistakes.
[tex] 16 \div 4 + 2^3 \times 5 - 3 = [/tex]
[tex] = 4 + 8 \times 5 - 3 [/tex]
[tex] = 4 + 40 - 3 [/tex]
[tex] = 44 - 3 [/tex]
[tex] = 41 [/tex]
Answer:
41
Step-by-step explanation:
using BODMAS
16/4 =4
4+8*5-3
4+40-3
=41
help me with this i will mark brainlest
Answer: 388 miles in one hour.
Step-by-step explanation:
You divide 1,940 by 5.
Answer:
i dont know this sorry
\
Step-by-step explanation:
z-303=170
what does "z" equal
Answer:
z = 473
Step-by-step explanation:
So the equation looks like this:
z-303=170
So in order to only get the variable z on one side and the numbers on the other we are going to have to add 303 to both sides of the equal signs:
z - 303 = 170
+ 303 +303
z = 473
So the answer to what the variable z equals is 473, so how do we know if 473 is the answer? Well we substitute 473 where the z variable is in the equation and solve it:
z-303=170 or (473) - 303 = 170
and if you subtract 303 from 473 you will get 170 as your answer
I hope this helps you!
Victoria completed 1/8 of her test in 2/5 of an hour if it koreas rate stayed the same how much of her test was finished in 1 hour?
Answer:
31.25% or 1/16 of her testStep-by-step explanation:
Step one:
given
let the total amount of her test be x
we are told that she complete 1/8x test in 2/5 of an hour
hence she completed 1/8x in 0.4 hours
let us find the rate at which she completes are test
rate= 1/8x/0.4
convert the numerator to decimal number for easy computation
rate= 0.125x/0.4
rate=0.3125x per hour
Step two:
Hence 1 hour she can finish 0.3125x *1
=0.3125x
She can finish 31.25 % of her test in 1 hour
or 1/16 of her test
