During the past week, an accounting firm made a total of 77 long distance calls to its clients. Twenty-four of the calls were less than or equal to 30 minutes in duration while 41 of the calls were less than or equal to 40 minutes. The longest call was one hour and fifty-five minutes and the tenth percentile of the length of calls was 20 minutes.
Step 4 of 5 : What percentage of the calls were greater than 30 minutes in duration? Round your answer to the nearest whole number percentage.
The percentage of the calls were greater than 30 minutes in duration is 69%.
How to illustrate rye information?Let N = 77 Total long-distance calls
X= 24 calls are less than or equal to 30 minutes duration
Y = N - X= 77 - 24= 53 calls are greater than 30 minutes duration
To find the percentage of calls greater than 30 minutes duration. This goes thus:
= Number of calls greater than 30 minutes / Total calls
= 53 / 77
= 0.69
Therefore, 69% of the call were greater than 30 minutes in duration.
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Question 20 of 20
The functions f(x) and g(x) are shown on the graph.
f(x) = x²
What is g(x)?
10
10
f(x)
Answer:
g(x) = - x² - 4
Step-by-step explanation:
g(x) is a reflection in the x- axis of f(x) followed by a vertical translation of 4 units down.
f(x) = x² , then
g(x) = - x² ( reflection in the x- axis )
g(x) = - x² - 4 ( a translation of 4 units down )
Which figure is 34 ft
Answer:
Yup, u need answer choices
.56 x 72
Please help me find the answer to this quick
Equations and Fun
Guided Practice
What is the domain of the set of ordered pairs {(-4, 0), (-2, 2), (0, 1), (2, 3), (3, 4)}?
A. {-4,-2,0, 2, 4}
B. (-4,-2, 0, 1, 2}
C. {0, 1, 2, 3, 4)
D.
(-4,-2,0, 2, 3}
Answer:
D
Step-by-step explanation:
Remember that domain is the set of all x-values. Therefore, looking at ONLY the first number for each of the listed ordered pairs, your answer D would be the only answer to include all the correct x-values.
Evaluate Cross multiply :)
W X and ←→ Y Z intersect at point V. If m ∠ W V Y = ( 4 a + 58 ) ° and m ∠ X V Y = ( 2 b − 18 ) ° , find the values of a and b such that ←−→ W X is perpendicular to ←→ Y Z
The values of a and b are 8 and 54 respectively.
As WX and YZ are perpendicular to each other and they intersect at point V, so both ∠WVY and ∠XVY are 90°.
Given that,
∠WVY = (4a + 58)°
∠XVY = (2b - 18)°
Which means:
4a + 58 = 90
4a = 90-58
4a = 32
a = 32/4
a = 8
and 2b - 18 = 90
2b = 90+18
2b = 108
b = 108/2
b = 54°
hence we get the values of a and b as 8° and 54°
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Positive multiples of 4
Answer:
4,8,16,20,24,28,32,36,40,44...
Step-by-step explanation:
How many? This list goes on forever.
Answer:
4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96.
Step-by-step explanation:
Which of the following statements is equivalent to 18 + 6?
We could say 18 + 6 = 2(9+3) as one example
Or 18+6 = 3(6+2) as another example
Or 18+6 = 6(3+1) as another example
There are few approaches so it depends on what answer choices you are given.
(a) Write an equation in terms of x that represents the problem.
(b) Solve the problem.
The difference of a number and 16 is the same as the product of the number and 3. Find the number.
Answer:
-8
Step-by-step explanation:
x - 16 = 3x
Solve for x
-2x = 16
x = -8
ASAP Please!
Beth purchased a $50,000 nonparticipating whole life insurance policy. The annual premium was $1,608. The cash value of the policy after 10 years will be $13,740. Assuming 5% interest rates. What is the traditional net cost of this policy, per thousand per year, over the first 10 years the policy is in force? (Round your answer to 2 decimal places)
Based on the annual premium, the cash value of the policy, and the number of years, the traditional net cost of this policy over the first 10 years is 5.76.
What is traditional net cost?First, find the net cost over 10 years:
= Total premium over 10 years - cash value
= (1,608 x 10) - 13,740
= $2,340
The net cost per year is:
= 2,340 / 10
= $234
The traditional net cost of this policy, per thousand per year for the first 10 years is:
= 234 / 50,000 x 1,000
= 4.68
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answer quickly but only if you are sure
or else you are getting reported :D
Answer:
0.0092
Step-by-step explanation:
Rewrite the denominator out of its scientific notation. The numerator will always be 1 when you are working with whole numbers turning into fractions.
[tex]=9.2\cdot \frac{1}{10^3}\\=\frac{1\cdot \:9.2}{10^3}\\=\frac{9.2}{10^3}\\=\frac{9.2}{1000}\\=0.0092[/tex]
What are the zeros of the polynomial y = 3x(x - 2) (2x + 7)?
Answer:
the second answer option
Step-by-step explanation:
come on, that is really easy, now that the polynomial is already written that way.
when is the product of several factors 0 ?
when at least one of the factors is 0.
so let's go through, when are the factors 0 :
3 : can never be 0. 3 is 3.
x : yes, when x = 0.
(x - 2) : yes, when x = 2
(2x + 7) : ok, that requires a little bit of thinking
2x + 7 = 0
2x = -7
x = -7/2
and that's it.
at, the correct answer is
0, 2, -7/2
Solve system of equations using substitution method
2x-3y=6
x + y = -12
What is the result when the number 25 is increased by 20%?
if f (x) =x2-4x-6 find f(o) F(3) f(-2) show that f (1/2) f(7/2) and f(2-h) f (2+h)
If f(x) = x² ₋ 4x ₋ 6 then we get the following answers for f(0),f(3) and f(-2) respectively. And the expression f(1/2) = f(7/2) and f(2₋h) = f(2₊h) is therefore proved.
f(0) = -6
f(3) = -9
f(-2) = 6
Given the function is f(x) = x² ₋ 4x ₋ 6
we need to find for f(0):
f(0) = 0² ₋ 4(0) ₋ 6
f(0) = ₋6
f(3) = 3² ₋ 4(3) ₋ 6
f(3) = 9 ₋ 12 ₋ 6
f(3) = ₋9
f(₋2) = (₋2)² ₋ 4(₋2) ₋ 6
f(₋2) = 4 ₊ 8 ₋ 6
f(₋2) = 6
we need to prove f(1/2)f(7/2)
now, f(1/2) = (1/2)² ₋ 4(1/2) ₋ 6
f(1/2) = 1/4 ₋ 2 ₋ 6
f(1/2) = 1 ₋ 8 ₋ 24 / 4
f(1/2) = ₋31/4
f(7/2) = (7/2)² ₋ 4(7/2) ₋ 6
f(7/2) = 49/4 ₋ 14 ₋ 6
f(7/2) = 49 ₋ 56 ₋ 24 / 4
f(7/2) = ₋31/4
therefore, f(1/2) = f(7/2)
f(2₋h) = (2₋h)² ₋ 4(2₋h) ₋ 6
f(2₋h) = (4 ₊ h² ₋ 4h) ₋ 8 ₊ 4h ₋ 6
f(2₋h) = h² ₊ 4 ₋ 4h ₋ 8 ₊ 4h ₋ 6
f(2₋h) = h² ₋ 10
f(2₊h) = (2₊h)² ₋ 4(2₊h) ₋ 6
f(2₊h) = 4 ₊ h² ₊ 4h ₋ 8 ₋ 4h ₋ 6
f(2₊h) = h² ₋ 10
therefore, f(2₋h) = f(2₊h)
Hence proved.
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three lakes lost water during a drought. Lake Jensen lost 1/6 of its water, Lake parlow lost 26% of its water, and lake stockton lost 33/200. which lake lost the least amount of water whats the answer?
Answer:
lake stockton
Step-by-step explanation:
26% is equal to 26/100
you have to figure out a common denominator for all three numbers. the easiest for me was 600
to get from 1/6 to x/600 you multiply by 6 so you do the same to the top. equaling 100/600
for 26/100 you times top and bottom by 6 equaling 156/600
for 33/200 you multiply by 3 on both equaling 99/600
now you can clearly see that 99/600 is the least amount
Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?
Answer:
3x+2y=8.75
2x+4y=8.5
solving above two we get
x=9/4
y=1
Then x+3y=2.25 + 3=5.25
Step-by-step explanation:
1/2|4x + 3/4|>7/8
solve the inequality. express the answer using interval notation
Answer:
2.35
Step-by-step explanation:
7/11 divided by 4/5 if you can pls show the work
Answer:
please rate as brainliest
Step-by-step explanation:
7/11 divide 4/5
just intertwine the second fraction values since it is divided and you should put multiplication
=7/11 × 5/4
=35/44 or 0.7954545455
Answer:
35/44
Step-by-step explanation:
see picture above it is the answer
Create a polynomial that has 4 terms, a degree of 6, a leading coefficie
and a constant term of -5.5.
-6 is the product of this equation,
therefore there are no constant term or leading coefficient.
enter image source here
The degree of a polynomial is the highest degree of its terms
The leading coefficient of a polynomial is the coefficient of the leading term
Any term that doesn't have a variable in it is called a "constant" term
types of polynomials depends on the degree of the polynomial
x5 = ax2+bx2+c =0
x4 = quadratic
x3 = cubic
x2 = quadratic
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division
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which are the partial products of 3,706×4?
The partial products of 3706 × 4 is ( 3000 × 4 ) + ( 706 × 4 ).
Calculating the product of two or more numbers is the procedure known as multiplication in mathematics. When two integers are multiplied together in mathematics, the result is a product or an expression that describes the factors to be multiplied.
The decimal numeral system is widely used to express both integer and non-integer numbers. The way of representing numbers in the decimal system is known as decimal notation.
The given product is 3706 × 4 and can be written as:-
3706 × 4 = [ 3000 + 706 ] × 4
3706 × 4 = ( 3000 × 4 ) + ( 706 × 4 )
Therefore, the partial products of the given expression is ( 3000 x 4 ) + ( 706 x 4 ).
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Find the distance between each pair of points. The points are (3,-5) and (-2,0)
Answer:
5√2
Step-by-step explanation:
The distance formula is the the square root of the difference of the x (delta x) squared plus the difference of the y (delta y) squared. So, you would do
0 - (-5) = 5 & -2 - (3) = -5
Then
5² + (-5)² = 25 + 25 = 50
Square root 50
5√2
Hope this helps! :)
find the measures of the angles of a triangle if the angles are resented by x, 4x, and 4x. show work
x = 20
Step-by-step explanation:Total degrees of a triangle = 180 degrees.
The three angles are x, 4x & 4x
x + 4x + 4x = 180 degrees
x + 8x = 180 degrees
9x = 180 degrees
(9x)/9 = 180/9
x = 180/9
x = 20
What lowest terms fraction equal to 15%
Answer:
3 / 20
Step-by-step explanation:
Take only after the decimal point part for calculation.
.15
Then, divide that value by 1.
.15
1
Multiply both numerator and denominator by 100 (because there are 2 digits after the decimal point so that is 102 = 100).
.15 × 100
1 × 100
=
15
100
;
To simplify
15
100
its lowest terms, find GCD (Greatest Common Divisor) for 15 & 100, which is 5. Here's How to Find GCD of 15 and 100?
15/5
100/5
After simplify or reduce the fraction.
3
20
An albatross is flying 87 m above the surface of the ocean. Directly below the albatross, a sea gull is flying 6 m above sea level. Directly below
the birds is a shark, swimming 23 m below sea level. Determine each of the following. Explain your work for each.
a) The difference in height between the sea gull and the shark.
b) The distance between the heights of the sea gull and the shark.
Using simple addition and multiplication, we concluded that the difference in height between sea gull and shark is 17m and distance between the heights of the sea gull and the shark is 29m.
Given,
Albatross is flying 87 m above the surface of the ocean
Sea gull is flying 6 m above sea level
shark is swimming 23 m below sea level
a) The difference in height between sea gull and shark is -
23m - 6m
= 17m
b) The distance between the heights of the sea gull and the shark is -
23m + 6m
= 29m
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Mariana owns a food truck and sells tacos and burritos. Each taco costs $2.50 and each burrito costs $4.00. Th
system of equations represents the results of Mariana's sales yesterday for t tacos and b burritos.
t + b = 60
2.50t + 4.00b = 175.50
How many tacos did Mariana sell yesterday?
Let the cost of one tacos = t
Let the cost of one burritos = b
So, we have this system
t + b = 60 (eq-1)
2.50t + 4.00b = 175.50 (eq-2)
We take equation-1,
We can write,
t + b = 60
t= 60-b (eq-3)
Substitute equation-3 into equation-2,
We can write,
2.50t + 4.00b = 175.50
2.50(60-b) + 4.00b = 175.50
Multiply the values,
2.5(60)-2.5b+4b = 175.5
150-2.5b+4b = 175.50
Subtract the values,
1.5b = 175.5-150
1.5b = 25.5
b = 25.5/1.5
Divide the values,
b = 17
Replace the value 'b' in equation-3,
We can write,
t= 60-b
t= 60-17
t=43
Therefore,
Mariana sell 43 tacos yesterday.
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Tomas works as an underwater photographer. He starts at a position that is 17 feet below sea level. He rises 9 feet, then descends 18 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.
Answer:
26 below sea level
Step-by-step explanation:
-17+9=-8
-18-8=26
What is the multiplicative inverse of 1 1/3?
According to the given statement the multiplicative inverse of 4/3 is 3/4.
What is multiplicative inverse?A multiplicative inverse as well as reciprocal for a number x, indicated by 1/x or x1, is a number that produces the multiplicative identity, 1. b/a is the multiplicative inverse of either a fraction a/b. Divide 1 by the number to find the multiplicative inverse.
How Do You Find the Multiplicative Inverse?Flipping the numerator and denominator yields the multiplicative inverse of a fraction. 1's multiplicative inverse is 1. The multiplicative inverse of 0 is unknown. 1/x or x-1 seems to be the multiplicative inverse of something like a number x.
According to the given data:Given 1*(1/3)
This can be written as 4/3.
The multiplicative inverse of 4/3 is 3/4
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A second degree polynomial with zeros at 4 and at 7 passes
through the point (1,9). Its equation has the form p(x) = ax² +
bx + c.
Find the value of a.
The value of a in Quadratic function ax^2 + bx + c is 1.
In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
the polynomial function f(x)=Ax^2+Bx+C, where A 0 and A, B, and C R. A quadratic function is a second-degree polynomial function in which all the coefficients of the terms with a degree less than 2 are zeros.
Roots of the given equation are 4 and 7.
then the quadratic function whose roots are 4 and 7 is
x^2 - (4+11)x + (4*7)
x^2-11x+28
on comparing this to the Quadratic function ax^2+bx+c
the value of a is 1.
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