Answer:
{0, 50, 100, 150, ..., 350, 400}
Step-by-step explanation:
The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.
{0, 50, 100, 150, ..., 350, 400}
_____
The expression for f(x) is ...
f(x) = initial balance - (rate of withdrawal) × (time period)
f(x) = 400 -50x
This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."
However, as applied to this problem, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.
1. The length of time, in hours, it takes an "over 40" group of people to play one soccer match is
normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of
size n = 50 is drawn randomly from the population. Find the probability that the sample mean is
between 1.8 hours and 2.2 hours.
The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535
What is the Probability in Normal Distribution?
We are given;
Sample size; n = 50
Standard deviation; σ = 0.5
Mean; μ = 2
The formula to find the z-score for each sample mean is;
z = (x' - μ)/(σ/√n)
Thus, for x' = 1.8, we have;
z = (1.8 - 2)/(0.5/√50)
z = -2.83
For x' = 2.2, we have;
z = (2.2 - 2)/(0.5/√50)
z = 2.83
Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;
P(-2.83 < Z < 2.83) = 0.99535
Read more about Normal Distribution Probability at; https://brainly.com/question/4079902
#SPJ1
Can someone please help me.
Answer:
make that 30 percent int a fraction and u should know what to do
Step-by-step explanation:
Prove the identity.
sin(x+y) / cosxcosy = tanx+tany
[tex]\dfrac{\sin(x+y)}{\cos x \cos y}\\\\\\=\dfrac{\sin x \cos y + \sin y \cos x}{\cos x \cos y}\\\\\\=\dfrac{\tfrac{\sin x \cos y}{\cos x \cos y} + \tfrac{\sin y \cos x}{\cos x \cos y}}{\tfrac{\cos x \cos y}{\cos x \cos y}}\\\\\\=\dfrac{\tan x + \tan y}1\\\\\\= \tan x + \tan y[/tex]
Find m
∠
K
M
L
∠KML.
Answer:
m∠KML = 35°
Step-by-step explanation:
This is an isosceles triangle because 2 of the sides are equal so we know the 2 unknown angles are equal. The 3 angles of any triangle always add up to 180° so since we know 1 angle is 110° then the 2 unknown angles must add up to 70° (because 180° minus the known 110° leaves us with 70°). Since we know the 2 unknown sides are equal 70° ÷ 2 = 35°. So, m∠KML = 35°
It is your birthday and you are going to get a new cellphone. The day you buy the phone, you will have to pay the $49 interest fee and a $200 down payment. The remaining balance of the phone will be paid off in 24 equal payments. The total bill is $980, including the interest fee and down payment. Write an equation to solve for p, the required monthly payments
Answer:
$30.46
Step-by-step explanation:
Total payment = down payment + interest fee + 24 equal payments
980 = 200 + 49 + 24 equal payments
24 equal payments = 24 * p, as we add p 24 times
980 = 249 + 24p
subtract 249 from both sides to isolate p and its coefficient
731 = 24p
divide both sides by 24 to isolate p
p = 30.46
find the value of p-8 when p=14
Answer:
6
Step-by-step explanation:
If p = 14
rewrite the equation
so replace the variable with 14.
now do basic subtraction.
14 - 8
= 6
I need help asap very struggle with math
Answer:
16feet
part B is 18 feed for a good at a better than the price but the one
When a number is subtracted from 24 and the difference is divided by that number, the result is 3. What is the value of the number?
a) 2
b) 4
c) 6
d) 12
e) 24
There are 40 pupils in a class. 75% of them are present. How may are present? How many are absent?
with solution please :D
Answer:
30 are present 10 are absent
Step-by-step explanation:
75%=3/4
so 3/4 of them are absent
3/4(40)=30
and 40-30=10 are absent
Find the 87th term of the arithmetic sequence 1,14,27,….
Answer:
[tex]a_{87}=1119[/tex]
Step-by-step explanation:
Arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference between terms and n is the index of any given term.
Find the difference between the terms in the given sequence here:
[tex]14-1=13\\27-14=13[/tex]
Each term has a common difference of 13. Using that, you can write the equation for this sequence:
[tex]a_n=1+(n-1)13[/tex]
Finally, you can use this equation to find the 87th term by plugging in 87 for n:
[tex]a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119[/tex]
The counting number ABAB is a multiple of 36. If different letters represent different digits, what is the greatest value ABAB can have? PLS HELP ONLY 10 minutes
The greatest value ABAB can have is 7272.
The given parameters:
Counting number ABAB = multiple of 36The counting number can be expanded as follows;
ABAB = 100 x AB + AB
= AB00 + AB
= AB(100 + 1)
= AB(101)
101 is a prime factor of AB and has only two factors.
The prime factor of 101 = 1 x 2
Since 101 is prime, the counting number AB must 2-digits multiples of 36.
The greatest value ABAB can have is calculated as follows;
ABAB = (36 x 2)(36 x 2)
ABAB = 7272
Thus, the greatest value ABAB can have is 7272.
Learn more about prime factors here: https://brainly.com/question/24612438
Find the area of the equilateral triangle.
Answer:
try 6.93 for answer on equilqteral triangle
the perimeter of a regular Pentagon is 100m how long is each side
Answer:
20 cm is the answer.
20
Step-by-step explanation:
the parameter of any shape is the sum of all sides and since the pentagon has 5 sides we just have to divide the parameter by 5
100÷5=20
A
Hilda has a bank account balance of $1550. Each week, her balance changes by −$82.50. She wants to keep the balance above $395.
How many weeks will Hilda's balance remain above $395?
Select from the drop-down menu to correctly complete the statement.
Hilda's bank balance will remain above $395
Choose...
weeks.
Step-by-step explanation:
1550 - 395 = 1155
1155 / 82.5 = 14
Answer should therefore be 14 weeks.
Not my usual way of doing this sort of question but I'm interested to see if it's right. Alternatively you can subtract $82.50 from $1550 until/before you reach $395. Do not go below $395 though.
Answer:
K12 Answer
Step-by-step explanation:
Evaluate "four dollars less than the cost
of a sweater" if a sweater costs $22
a
a
The question says to evaluate the cost of four dollars less than the cost of a sweater.
To do this, what we have to do is to create a mathematical equation of it.
Less than always insinuates that we are to subtract, and as such, we are going to subtract four dollars from the cost of the sweater to get our final answer.
Four dollars less than the cost of a sweater that costs $22 is
22 - 4 = $18
Learn more about evaluating cost here https://brainly.com/question/14315509
If x = 6, what is the value of 3x2 - 13?
Answer:
the answer should be 95
Step-by-step explanation:
hope this helps!❆
Answer:
value is 95
Step-by-step explanation:
if x = 6
------------
3x² - 133(6²) - 133(36) - 13108 - 1395value of 3x2 - 13 is 95
Are these shapes similar?
yes or no
Answer:
I’d say yes.
If you stretched the second shape then I think both shapes would look similar.
John and Linda wants to simulate how many children they would have if they continued having kids until they have a boy. They will use the table of random digits below and they have assigned the numbers 0-4 to be a girl and 5-9 to be a boy. Fill in the blanks for the number of children John and Linda will have for each trial.
Trial 1:
Trial 2:
ithink this is the literal answer
Write the inequality
The inequalities which the number lines represent are as follows;
x > 3x <= 2.While writing inequalities represented on a number line;
We must observe the direction of the line; and also observe the shading on the starting point of the line.
In case 1:
The set of x values are represented as greater than 3; Therefore, the inequality is; x > 3In case 2:
The set of value are represented as less or equal to 2;Therefore, the inequality is; x <= 2The number line to represent the street sign is as in the attached image;
Read more on number line and inequalities:
https://brainly.com/question/1478009
If the diameter of a circle is [tex]\sqrt{144}[/tex] then what is the radius?
Hey there!
√144
= 12^2
= 12 * 12
= 144
Therefore, your answer should be: 12
Side note: There’s many ways to find the result of the square root but I just made it “easier” to solve and tackle future problems like this on your own.
Anyways
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Solve and check answer 3(4-5x)=3(4x+3)
Hey there!
3(4 - 5x) = 3(4x + 3)
3(4) + 3(-5x) = 3(4x) + 3(3)
12 - 15x = 12x + 9
-15x + 12 = 12x + 9
SUBTRACT 12x to BOTH SIDES
-15x + 12 - 12x = 12x + 9 - 12
SIMPLIFY IT!
-27x + 12 = 9
SUBTRACT 12 to BOTH SIDES
-27x + 12 - 12 = 9 - 12
CANCEL out: 12 - 12 because it gives you 0
KEEP: 9 - 12 because it helps solve for the x-value
NEW EQUATION: -27x = 9 - 12
SIMPLIFY IT!
-27x = -3
DIVIDE -27 to BOTH SIDES
-27x/-27 = -3/-27
CANCEL -27/-27 because that gives you 1
KEEP: -3/-27 because it helps solve for the x -value
NEW EQUATION: x = -3/-27
SIMPLIFY IT/REDUCE the FRACTION!
x = 1/9
Therefore, your answer is: x = 1/9
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
will mark brainliest Select the correct answer.
Which relation is a function?
ОА
ху
14 -2
5 -3
6 -2
7-3
ОВ.
ху
310
220
3 30
440
ОС
Х У
-52
-53
-104
-105
OD.
ху
1015
2025
8 30
2035
Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)
a
4 to the tenth power over 5 to the fifth power
b
4 to the fourth power over 5
c
4 to the twenty-first power over 5 to the sixth power
d
12 to the seventh power over 15 squared
Answer: The answer is C, 4 to the 21st over 5 to the 6th power.
Kelly is nine years older than her sister. Kelly's age is one more than twice her sisters age. What is Kelly's age?
Answer:
17 years old
I hope this helps
I think it might be right
sorry if it is wrong
The total cost of a sketchpad and 6 pecils is $22.53. The sketch pad costs $9.99. Each. pencil costs the same amount. How much does each pencil cost
Answer:
22.53-9.99=12.54
12.54 divided by 6 = 2.09
Each pencil costs $2.09
Step-by-step explanation:
Help help help math math math
81°
Step-by-step explanation:
The sum.of the interior angles of a triangle is equal to 180°. Hence, in our triangle, we can see that
[tex]41° + 58° + \angle{3} = 180° \Rightarrow 99°+\angle{3} = 180°[/tex]
We then see that
[tex]\angle{3} = 180° - 99° = 81°[/tex]
Answer: 81 i believe
Step-by-step explanation:
Extra Credit #4
What are the next two numbers in this pattern?
431
141311
1114111321
311431131211
Answer:
The next two numbers following:
431
141311
1114111321
311431131211
are:
132114132113111221
AND
11131221141113122113312211
Step-by-step explanation:
I shall explain the pattern below:
431 (just the digits 4, 3, and 1)
141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)
1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)
311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)
NEXT TWO NUMBERS:
one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)
that makes: 132114132113111221
one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)
that makes: 11131221141113122113312211
The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.
50 mm = how many cm?
Answer:
5cm
Step-by-step explanation:
50mm ÷ 10 = 5cm
Determine the probability of the event.
A survey found that about 90% of the junior class is right handed. If 2 juniors are chosen at random out of
100 juniors, what is the probability that at least one of them is not right handed?
Give an exact answer as a decimal.
Answer:
The probability is 1/100
Step-by-step explanation:
This is because there are only ten left-handed juniors (on average). Therefore there isn't a great chance that you would end up with one.
can some1 please help:(
A) -2/5hope it helps ....❤