Answer:
Step-by-step explanation:
The function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].
What is the function?Functions are the fundamental part of the calculus in mathematics. 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.
Given that, in 1996 a town had 170 cell phone users. This number increased by 75% each year.
Let the number of phone users t years after 1996 be y
The number of phone users t years after 1996 is
y= [tex]170(1+\frac{75}{100})^t[/tex]
y= [tex]170(1.75)^t[/tex]
Therefore, the function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].
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Fimd the medium.of given data ? 5,19,8,11,7,6,17,11,6,10
Assume that the GMAT scores across the U.S. follow a bell shaped distribution (symmetric and unimodal) with mean 549 and standard deviation 76. Use the Empirical Rule (68-95-99.7 rule) to answer the following question: What is the GMAT score corresponding to the 16th percentile
Answer:
The GMAT score corresponding to the 16th percentile is 473.
Step-by-step explanation:
Empirical Rule.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
68% of the measures within 1 standard deviation of the mean.
This means that they are between the 50 - (68/2) = 50 - 34 = 16th percentile(one standard deviation below the mean) and the 50 + (68/2) = 50 + 34 = 84th percentile(one standard deviation above the mean).
In this question:
Mean of 549, standard deviation of 76.
16th percentile:
One standard deviation below the mean, so 549 - 76 = 473.
The GMAT score corresponding to the 16th percentile is 473.
give me question about equation of a circle question with real life situation.
. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9 units. Find the length and width of the box.
Answer:
length = 5
width = 9
Step-by-step explanation:
V = lwh
let 'x' = length
let '4+x' = width
9 = height
405 = 9x(4+x)
405 = 36x + 9x²
this is a quadratic equation: 9x² + 36x - 405 = 0
factor out a 9 to get:
9(x² + 4x - 45) = 0
9(x-5)(x+9) = 0
one root is 5 and the other is -9
since distance cannot be negative we use 5 as the length and 9 is the width
Which inequality is represented by the graph below?
If pis inversely proportional to the square of q, and p is 23 when q is 4, determine p
when q is equal to 2.
Answer:
[tex]p\ =\ 92[/tex]
Step-by-step explanation:
Given
[tex]p\ \alpha\ \frac{1}{q^2}[/tex]
[tex]p =23; q=4[/tex]
Required
Find p, when [tex]q = 2[/tex]
We have:
[tex]p\ \alpha\ \frac{1}{q^2}[/tex]
Express as equation
[tex]p\ =\ \frac{k}{q^2}[/tex]
Make k the subject
[tex]k =pq^2[/tex]
When: [tex]p =23; q=4[/tex]
[tex]k =23 * 4^2[/tex]
[tex]k =368[/tex]
When [tex]q = 2[/tex], we have:
[tex]p\ =\ \frac{k}{q^2}[/tex]
[tex]p\ =\ \frac{368}{2^2}[/tex]
[tex]p\ =\ \frac{368}{4}[/tex]
[tex]p\ =\ 92[/tex]
Consider f(x) = 2x^2 + 1 and g(x) = 3x - 6. Which statement about f + g is true?
A.It is a linear function.
B.It is a quadratic function.
C. The domain is x 2-3.
D. The range is all real numbers.
Answer:
Vertex of a quadratic function (formula)
Step-by-step explanation:
Solving a word problem involving rates and time conversion
A car travels at an average speed of 52 miles per hour. How long does it take to travel 247 miles?
Answer:
It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.
Step-by-step explanation:
This question is solved by rates, using a rule of three.
52 miles in one hour. How many hours for 247 miles?
1 hour - 52 miles
x hours - 247 miles
Applying cross multiplication:
[tex]52x = 247[/tex]
[tex]x = \frac{247}{52}[/tex]
[tex]x = 4.75[/tex]
It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.
An observer in a blimp sights a football stadium at a certain angle of depression. If the blimp is at an altitude of 1600 ft and the horizontal distance between the blimp and stadium is 2372 ft. Determine the angle of depression from the blimp to the stadium to the nearest degree.
Answer:
http://maggieevans.weebly.com/uploads/8/3/6/6/8366984/unit_2_test_review_answers.pdf
Step-by-step explanation:
The link is there it might have some other answers scroll down on the page link. No this is not a scam i promise <3
. In this exercise, you will conduct regression analysis with binary and categorical variables. (a) Use the command tabulate to show the categories of the variable occupation and their frequencies. What is the relative frequency of the category Sales
What percentage of the individuals rode the Ferris wheel and did not ride the roller coaster?
Answer:
B and D
Step-by-step explanation:
they both make srnse to me
The required percentage of individuals is 66.07%.
What is percentage?
A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The required data from the given table is as follows,
The total number of individuals is 112.
The number of individuals who ride Ferris wheel but not roller coaster is 74.
As per the question the percentage can be found as below,
Required percent = (The required number ÷ Total number) × 100
= (74 ÷ 112) × 100%
= 66.07%
Hence, the percentage of the individuals rode the Ferris wheel and did not ride the roller coaster is 66.07%.
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u=(-4,10) and v=(5,3) what is 3v+u?
This is Right answer....
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
20, 15, 10
Answer:
a. T² - T¹ = d ( A. P) -5
b. T²/T¹ = r (G. P) 3/4
Step-by-step explanation:
a. 15 - 20 = -5
b. 15/20 = 3/4
Answer:
This is an arithmetic sequence and the common difference is equal to -5.
This line is parallel to the line 2x + 6y = 12.
Answer:
y = 1/3x + 4 1/3
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
[tex]6y = - 2x + 12 \\ 3y = - x + 6 \\ y = - \frac{1}{3} x + 2[/tex]
Help me PLEASEEEEEEEEEEEEE
Answer:
D. 44.55
Step-by-step explanation:
if you multiply 4.95x9 you get D
Answer:
the answer is D
Step-by-step explanation:
Since each is 4.95 multiply 4.95 x 9 = 44.55
hope this helps
enjoy
Pls help 10 pts
X =
1
3
7
Answer:
3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Secant-Secant Formula:(whole secant) x (external part) =
(whole secant) x (external part)
4 *(9) = x *(12)
36 =12x
Divide each side by 12
36/12 = 12x/12
3 =x
A defense company working for the government claims that at most 6% of its missiles are defective. A sample of 160 missiles is taken and 16 are defective. Test their claim at 1% level.
Required:
State clearly the null and the alternative hypothesis
Answer:
Null Hypothesis: H0: Defective defense missiles not more than 6%
Alternate hypothesis: Ha: Defective defense missiles are greater than 6%
Step-by-step explanation:
The null hypothesis is the problem statement and the alternate hypothesis is a contradiction of null hypothesis
Hence,
Null Hypothesis: H0: Defective defense missiles not more than 6%
Alternate hypothesis: Ha: Defective defense missiles are greater than 6%
A rectangle measures 2
1
2
meters by 1
3
4
meters. What is its area?
Answer:
28408
Step-by-step explanation:
212x134=28408
Similar Triangles
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 14/27 = 21/28 = 14/27
b. 14/18 = 21/27 = 7/9
c. 14/21 = 18/27 = 2/3
d. 27/14 = 28/21 = 27/14
Please select the best answer from the choices provided
Answer:
B. 14/18 = 21/27 = 7/9
Step-by-step explanation:
I calculated it logically
Find the area of a regular polygon with 9 sides that has a side length of 12 inches and an apothem of 15 inches.
Answer:
An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:
A = (1/2)*(Perimeter)*(Apothem)
The perimeter of the regular polygon is just the length of one side multiplied with the number of sides. Since a polygon with 9 sides,
P = 9(15) = 135in
A = 1/2 ×135 × 12
A = 810 square inches ans
A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all cases when it is not. Assume that the prevalence of the disease is 1 in 650. If the test is administered to a randomly chosen individual, what is the probability that the result is positive
Answer:
0.0713 = 7.13% probability that the result is positive.
Step-by-step explanation:
Probability of a positive test:
91% of 1/650(has the disease).
7% of 1 - 1/650 = 649/650(does not have the disease). So
[tex]p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713[/tex]
0.0713 = 7.13% probability that the result is positive.
Which equation has no solution?
A. x + 3 = 5(x+3)
B. 3x + 4 = 3(x - 5)
C. X+ 6 = 6x
D. 5x + 2 = 4x - 3
Answer: B: 3x + 4 = 3(x - 5) (has no solution)
Step-by-step explanation: (these have solutions)
C: X+ 6 = 6x = 6/5
A: x + 3 = 5(x+3) = −3
D: 5x + 2 = 4x - 3 = −5
Find the value of a in this isosceles trapezoid. D. 11 A. 7 B. 15 C. 4
Answer:
B
Step-by-step explanation:
Because 15-4=11
and both angles are equal
Elena is conducting an experiment to determine if the high school students are more relaxed when the lights are off or when music is played during an exam. She selects 10 of her friends to take an exam with the lights off and another 10 of her friends to take an exam with music playing.
Required:
What is problematic about the way that Elena selected her groups?
Answer:
Problematic is that - only one factor should be analysed at a time. However she has considered both.
Step-by-step explanation:
Groups for any experimental study should be selected on the basis of one variable, other factor(s) remaining constant.
In this case, here are two variables - lights on or off, music playing or not playing - effecting relax level during exams.
She selects 10 students for exam with lights off , 10 for exam without music. This is problematic, as at once only lights or only music factor should be considered.
If one group is with light on , other should be with light off. If one group is with music, other should be without music. This mix up of one light off aspect & one music without music is inapt.
True or false diagonals of rectangle are equal
Answer: A rectangle is a quadrilateral in which all angles are right angles. A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.
Step-by-step explanation:
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X+7
X+1
Area=
ASAP!!!!!!
Answer:
Area = x² + 8x + 7
Step-by-step explanation:
Area of a rectangle formula = L * W
Length (L) of the given figure = (x + 7)
Width (W) of the given figure = (x + 1)
Area = L * W
Area = (x + 7) * (x + 1)
=> x * x = x²
=> x * 1 = 1x or x
=> 7 * x = 7x
=> 7 * 1 = 7
Combining it all together;
Area = x² + 1x + 7x + 7
Combine the like terms:
Area = x² + 8x + 7
Hope this helps!
The area of the entire rectangle in the polynomial form will be x² + 8x + 7.
What is the area of the rectangle?Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,
Area of the rectangle = L × W square units
The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,
A = (x + 7)(x + 1)
Simplify the equation, then we have
A = (x + 7)(x + 1)
A = x² + 7x + x + 7
A = x² + 8x + 7
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Describe the relationship of the formula.
y = kx
If two variables (x and y) are directly proportional to each other, their relationship can be described as y=kx, where k is how they change relative to one another
which is the best estimate of 5 5/6 - (1 1/4 + 3 7/8)
Answer:
Step-by-step explanation:
"Best estimate' doesn't happen automaticallly, because you have to define "best" in this context. We could merely round all numbers and work with the results:
For example, starting with the work inside parentheses, we have:
5 5/6 - (1 + 4) = 5 5/6 - 5. We must round 5 5/6 up to 6. Then the "best estimate' is 6 - 5, or just 1.
The solution of the given expression is 17 / 24.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 5⁵/₆ - (1¹/₄ + 3⁷/₈). The value of the expression will be calculated as:-
E = 5⁵/₆ - (1¹/₄ + 3⁷/₈)
E = 35 / 6 - [ 5 / 4 - 34 / 8 ]
E = 35 / 6 - [ ( 10 + 31 ) / 8 ]
E = 35 / 6 - 41 / 8
E = ( 140 - 123 ) / 8
E = 17 / 21
Hence, the solution of the expression is 17 / 21.
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HELP ME PLEASE (pre algebra)
Answer:
30
Step-by-step explanation:
5ab -2c
Let a = 2 b=3 c=0
5*2*3 - 2*0
30 - 0
30
FIND P VALUE A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 120 of the school's students, 30% of them plan to go into general practice. Find the P -value for a test of the school's claim.
Answer:
0.3128
Step-by-step explanation:
H0 : p ≤ 0.28
H0 : μ > 0.28
The test statistic :
(phat - p) ÷ √(pq / n)
q = 1 -p = 1 - 0.28 = 0.72
phat = 0.30
(0.30 -0.28) ÷ √((0.28*0.72) / 120)
0.02 ÷ 0.0409878
Test statistic = 0.48795
Using the Pvalue from test statistic calculator :
Pvalue(0.05, right tailed) = 0.3128