Answer:
(a) 18%
Step-by-step explanation:
The debt to credit ratio is found by dividing his debt by his credit limit.
__
using the definitionratio = debt/credit limit = $1551.42/$8619.00 ≈ 0.18 = 18%
Quentin's debt to credit ratio is 18%.
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 9.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 9.7% of his customers buy a magazine is correct, what is the probability that exactly 5 out of the first 10 customers buy a magazine?
The probability that exactly 5 out of the first 10 customers buy a magazine is 0.00126.
Given suspicion of 9.7% that buy a magazine is correct.
We have to find the probability that exactly 5 out of the first 10 customers buy a magazine. Probability is the chance of happening an event among all the events possible.
The binomial distribution 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}=n!/x!(n-x)![/tex]
And P is the probability of happening of X.
In the question 9.7% of his customers buy a magazine.
So the value of P=0.097
This can be calculated by :
P(X=5) when n=13
[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]
[tex]P(X=5)=C_{10,5} (0.097)^{5} (1-0.097)^{10-5}[/tex]
=[tex]P(X=5)=C_{10,5} (0.097)^{5} (0.903)^{5}[/tex]
[tex]=10!/5!5!*0.0000085*0.600397[/tex]
=252*0.00000510
=0.001286
Hence the probability that exactly 5 out of the first 10 customers buy a magazine is 0.001286.
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Solve the equations for the given variable. Then place the equations in the table under the correct solution
Placing the equations under the correct solution, we get
x = 3 x ≠ 3
-14x = -42 -5 + x = -9
[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex] [tex]\frac{x}{3} =9[/tex]
[tex]\frac{x}{4} =\frac{6}{8}[/tex]
x -5 = -2
Solving Linear EquationsFrom the question, we are to place the equations under the correct solution
To do this, we will solve the equations one after the other
-14x = -42x = -42/-14
x = 3
-5 + x = -9x = -9 + 5
x = -4
∴ x ≠ 3
[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex][tex]x = \frac{12}{5} +\frac{3}{5}[/tex]
[tex]x = \frac{12+3}{5}[/tex]
[tex]x = \frac{15}{5}[/tex]
x = 3
[tex]\frac{x}{4} =\frac{6}{8}[/tex][tex]x=\frac{6\times 4}{8}[/tex]
[tex]x=\frac{24}{8}[/tex]
x = 3
[tex]\frac{x}{3} =9[/tex]x = 3 × 9
x = 27
∴ x ≠ 3
x -5 = -2x = -2 + 5
x = 3
Hence, placing the equations under the correct solution, we get
x = 3 x ≠ 3
-14x = -42 -5 + x = -9
[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex] [tex]\frac{x}{3} =9[/tex]
[tex]\frac{x}{4} =\frac{6}{8}[/tex]
x -5 = -2
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if the formula for number of people in bus is p=50b, where k= 50 people per bus show me the formula for number of buses per person ?
The formula for number of buses per person is b = p/50
This is a way of using a variable to represent other variables in a function.
Given the expression
p = kb
If k = 50, then;
p = 50b
Make b the subject of the formula
p/50 = 50b/50
b = p/50
Hence the formula for number of buses per person is b = p/50
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NEED HELP ASAP!! In the figure, AC 1 AB and AB 1 BD.
Answer:
d
By the alternate interior angles theorem,
Angles ABD and BAC will be congruentAngles BAD and ABC will be congruentBy the reflexive property, AB is congruent to itself.
Thus, the triangles will be congruent by ASA.
Sam pays #512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is #47,645.25k. How much does same paid for his meal
The amount paid by sam will be 11526.75k for the meal.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
Sam pays 512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is 47,645.25k.
We will form an expression from the data given above in the question.
Amount paid by Sam = ( r - 512.75 )
Amount paid by rob = r
( r - 512.75 ) + 3r = 47645.25
( r + 3r ) = 47645.25 + 512.75
4r = 48158
r = 12039.5
The amount paid by sam will be calculated as:-
S = r - 512.75
S = 12039.5 - 512.75
S = 11526.75
Therefore the amount paid by sam will be 11526.75k for the meal.
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For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)
Answer:
-x² + 3x + 7
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = (3x+1)-(x²-6) = -x² + 3x + 7
The value of (f - g)(x) is -x² + 3x + 7.
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
f(x) = 3x + 1
g(x) = x² - 6
Now,
(f - g)(x) = f(x) - g(x)
= (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
(f - g)(x) = -x² + 3x + 7
Thus, the value of (f - g)(x) is -x² + 3x + 7.
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Add.
(−2+6x^3−3x^2)+(4x^3−5+x^2)
Answer:
10x^3 - 2x^2 -7
Step-by-step explanation:
To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second
so 6x^3 + 4x^3 and that would be 10x^3
then -3x^2 + x^2 and the negative is larger so it would be -2x^2
and finally -2 + -5 and that is -7
hope this helps! :)
I think of a number and divide it by 3. The result is 2 less than the number I first thought of. Find the number I first thought of.
Answer:
Let the number be x
so, x/4 = x-3
x = 4(x-3)
x= 4x-12
x-4x = -12
-3x = -12
x= 12/3
x = 4
Step-by-step explanation:
Hope this helps! (:
Please mark me Brainliest!What is the range of possible sizes for side x?
If x is the largest side :
x < 4.1 + 1.3x < 5.4If 4.1 is the greatest side :
4.1 < x + 1.3x > 2.8Range of possible sizes for side 'x' :
2.8 < x < 5.4Is this correct? If not then whats the answer?????
(image below)
Answer:
6
Step-by-step explanation:
Mean no. of runs per game =
= Total no. of runs/ total no. of games
= 9+8+4+0+7+6+4+5+9+8 / 10
= 60 / 10
= 6
please help
PLEASE
Answer:
9:6:10
Step-by-step explanation:
Copper: Zinc: Tin= C:Z:T
C:Z:T
3:2
3:5
3x3=9
3x2=6
5x2=10
so, Copper:Zinc: Tin= 9:6:10
Point C is the center of the circle.
Options to the second answer are
A. One-half the measure of angle C
B. Not related to the measure of angle C
C. The complement of angle C
D. Equal to the measure of angle C
Answer:
D
Step-by-step explanation:
Because.............
What are the y-intercept and the asymptote of g(x) = 4x – 6?
(0, –5); y = –6
(0, –2); y = –4
(0, 4); y = 6
(0, 6); y = 4
The y-intercept of the line is (0 -6). The given function has no vertical and horizontal asymptotes
y-intercept and asymptotes of an equationA linear equation is an equation that has a leading degree of 1. Given the equation
g(x) = 4x - 6
The y-intercept occurs at a point where x = 0
g(0) = 4(0) - 6
g(0) = -6
Hence the y-intercept of the line is (0 -6)
The given function has no vertical and horizontal asymptotes
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[20 Points]
Add the expressions 4- 2/3b+ 1/4a and 1/2a + 1/6b -7 . What is the simplified sum?
A: -1/6a + 5/12b - 3
B: 3/4a + 1/2b - 3
C: 3/4a + 5/6b - 3
D: 5/12a - 1/6b - 3
Answer:
B: 3/4a + 1/2b - 3
Step-by-step explanation:
Which best describes the orthocenter of a triangle?
O A The point where the three altitudes of the triangle intersect
O B. The point where the three angle bisectors of the triangle intersect
• C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D The point where the three medians of the triangle intersect
Answer:
its A
Step-by-step explanation:
Its a because its A =)
this ven diagram shows sports played by 10 students.
let event a = the student plays basketball
let event b = the student plays soccer
what is p(A/B)?
A half-marathon is 13 miles, how many kilometers is that?
26 km
82.36 km
20.92 km
209.31 km
Answer:
The correct answer would be 20.92
Find the slope of segment CD if C is (12, 4) and D is (6,2). (if answer is not a whole number, give a simplified fraction using "" and if the
answer is negative, put the negative sign first; for example you would write-1/2, not 1/-2) Type your answer in Blank 1
Blank 1:
Answer: 1/3 (if you have other questions like these you can use a slope calculator)
a−(−3.75)=6.11
What is a?
Answer:
a = 2.36
Step-by-step explanation:
a-(-3.75)=6.11
The negative 3.75 is being subtracted from the 'a'. A negative number being subtracted from another number makes it positive. So, 3.75 is actually being added to 'a' which is equal to 6.11
I re-wrote the question as:
a + 3.75 = 6.11
Subtract 3.75 from both sides to leave 'a' by itself
a + 3.75 = 6.11
-3.75 -3.75
a = 2.36
Assume that the number of patients visiting a medical facility in a day is distributed as a poisson variable. the mean number of patients visiting is 16 per day.
what is the probability that the number of patients visiting is 15 in a day.
find the mean number of days in a month (30 days) with 15 patients visiting.
Using the Poisson distribution, it is found that:
The probability of 15 patients in a day is of 0.0992.In a month, the mean number of days with 15 patients is of 2.976.What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.In this problem, the mean is of [tex]\mu = 16[/tex], hence the probability of 15 patients in a day is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992[/tex]
Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:
M = 30 x 0.0992 = 2.976.
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What is the area of ruth's mural?
Answer:
Step-by-step explanation:
Comment
The shape consists of a rectangle on the bottom and a trapezoid on the top.
Rectangle
A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.
Area = L * w
L = 14
w = 3
Area = 14 * 3 = 42 m^2
Trapezoid
The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5
Area = 1/2(b1 + b2)*h/2
b1 = 14
b2 = 10
h = 8 - 3 = 5
Area = 1/2 ( 14 + 10) * 5 / 2
Area = 1/2 (24)*5
Area = 12 * 5
Area = 60 m^2
Total Area 102 m^2
express the set x < 1 using interval notation
Answer:
(−∞,1)
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!help!!!!!!!
Answer: Answer below.
Step-by-step explanation: Attached is my work. Hope it is helpful!
What is the gradient of the blue line?
Solve for x ~
[tex] \sf \rightarrow2x + 5x = 14[/tex]
provide explanation
Solution: x=2 ✅
[tex]\searrow[/tex]
⚜Detailed explanation: ⚜
In this problem we need to solve for x, the unknown.
First, note that the terms 2x and 5x have an x in them, so why not add them and make life easier?
[tex]---\mapsto\boldsymbol{2x+5x=14}\\\\---\mapsto\boldsymbol{7x=14}[/tex]
We're getting closer! Now we know that if we multiply 7 times the unknown, we'll get 14. So let's divide both sides by 7! Then we will have the value of the unknown.
[tex]---\mapsto\boldsymbol{x=2}[/tex] is what we obtain upon dividing
Superb, it's ez as winking!
_________________________________________
Voila! There's our solution!
Cheers!! ^-^Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
____________________________________________
Find the HCF of
x^2 y and y^2
The highest common factor is [tex]\boxed{y}[/tex].
If you can help with this I would be thankful
The inverse of the function will be [tex]f(x) ^{-1}= 2x - 12\\[/tex]. option C is correct.
What is the inverse of a function?Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist),
then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
The function is given as
[tex]f(x) = \dfrac{1}{2} x - 6\\\\[/tex]
The inverse of the function will be
[tex]f(x) ^{-1}= 2x - 12\\[/tex]
Therefore, option C is correct.
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identify the coefficient of -24x7y3
Answer: -24
Step-by-step explanation:
See attached image.
what it the answer to 1 ÷ 4 1/2=
Answer:
2/9 or 0.22222
Step-by-step explanation:
What is the area of the figure?
Answer:
21.5
Step-by-step explanation:
break the shape down to make two shapes: a triangle and rectangle.
triangle = A=bxh/2
3x5=15/2=7.5
Rectangle = A=bxh
2x7=14
7.5+14= 21.5
Hope this helps :)
Answer:
21.5
Step-by-step explanation:
(all steps provided in image attached)