The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
What is geometric series?A geometric series is a series in which the division of any consecutive two terms will be the same.
here, we have,
to determine the situation:
The given parameters are:
Initial = 5200
Rate = 5%
Because the population by 5% every year, then the situation is a geometric sequence.
The common ratio is then calculated as:
Ratio = 1 + Rate
This gives
Ratio = 1 + 5%
Evaluate
Ratio = 1.05
Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
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The Acculturation Rating Scale for Mexican Americans (ARSMA) is a psychological test that measures the degree to which Mexican Americans are adapted to Mexican/Spanish versus Anglo/English culture. The range of possible scores is 1.0 to 5.0, with higher scores showing more Anglo/English acculturation. The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8. A researcher believes that Mexicans will have an average score near 1.7 and that first-generation Mexican Americans will average about 2.1 on the ARSMA scale.
What proportion of the population used to develop the test has scores below 1.7? Between 1.7 and 2.1?
Answer:
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8.
This means that [tex]\mu = 3, \sigma = 0.8[/tex]
What proportion of the population used to develop the test has scores below 1.7?
This is the pvalue of Z when X = 1.7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.7 - 3}{0.8}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.063
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
Between 1.7 and 2.1?
This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.7.
X = 2.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.1 - 3}{0.8}[/tex]
[tex]Z = -1.13[/tex]
[tex]Z = -1.13[/tex] has a pvalue of 0.1292
X = 1.7
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.7 - 3}{0.8}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.063
0.1292 - 0.063 = 0.0662
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
simplify 12/18 into an equivalent fraction
Answer:
2/3
Step-by-step explanation:
a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?
Answer:
15 minutes
Step-by-step explanation:
400 to 2000(x5)
so, 3 times 5 is equal to 15 min
help me me me me pls
Answer:
"C" is the answer to that question
Answer:
C
Explanation:
Because I say so
• Work out the percentage change to 2 decimal places when £78.98 is increased to £100
Answer:
The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.
Divide the total change by the original amount to determine the percentage change the new amount represents.
21.02÷78.98=0.15219 which rounds up to two decimal places as 15.22%.
what is the equivalent property of 8(4x - 3)
Answer:
=32x−24
Step-by-step explanation:
Reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis. Find the coordinates of the new image.
A) C(-1,2) --> C' (-1,-2)
B) B(3,6) --> B' (3,-6)
C) A(1,2) --> A' (1,-2)
D) D(-2,-2)--> D' (-2,2)
Answer:
1,2 = 1,negative2
3,6 = 3,negative 6
-1,2 = negative 1, negative 2
-2,-2 = negative2, 2
Step-by-step explanation:
Sorry all i could do was reflect the coordinates across the x-axis.
The figure reflected along x-axis will have vertices A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
What is reflection along the x-axis?When we reflect a figure along the x-axis the coordinate point of y changes its sign, (x, y) becomes (x, - y).
Think of holding the x-axis with two fingers and rotating it.
Given, we reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis.
∴ The rotated coordinate will be A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
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Find the radius of the circle. The center of the circle is (2, -3) and a point that lies on the circle is (-1, -2).
Answer:
[tex]\displaystyle r = \sqrt{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Geometry
Definition of a radius - the center of a circle to any point to the circumferenceAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Center (2, -3) → x₁ = 2, y₁ = -3
Circumference point (-1, -2) → x₂ = -1, y₂ = -2
In this case, the distance d from the center to the circumference point would be the radius r of the circle.
Step 2: Find Radius r
[Distance Formula] Define equation [Radius]: [tex]\displaystyle r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute in points [Radius]: [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2--3)^2}[/tex][Radius] [√Radical] (Parenthesis) Simplify: [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2+3)^2}[/tex][Radius] [√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle r = \sqrt{(-3)^2+(1)^2}[/tex][Radius] [√Radical] Evaluate exponents: [tex]\displaystyle r = \sqrt{9+1}[/tex][Radius] [√Radical] Add: [tex]\displaystyle r = \sqrt{10}[/tex]2) The bicycle shop charges $15 plus $6.50
per hour to rent a bike. How many hours
did Henry pay to rent the bike if he paid
the shop $327?
Answer:
48 hours
Step-by-step explanation:
Subtract 15 from 327
Divide result by 6.5
Use basic facts and place value to find the quotient.
450 • 9 =
Your answer
x + 7 = 9
What does X equal?
Which of the following lines goes through the point (0,4) and is parallel to y = 5 x - 3?
M
O =
y = 5 x + 4
W
y= 5 x-7
y = -5 X-3
Four friends go to dinner. Each chooses a different meal. When the check comes, they decide they will each pay the same amount. If the costs of the meals (including tax and tip) were $12.20, $11.00, $8.50, and $7.50, what should each friend pay so they cover the whole bill?
Answer: Each friend should pay $9.80
Step-by-step explanation: First add up all their checks, then divide them by 4 (4 because there 4 friends) to get the amount each friend needs to pay.
$12.20 + $11.00 + $8.50 + $7.50= $39.20
39.30 / 4 = $9.80
Which is the graph of x - y = 1?
Ty
Ty
5
4
4
3
3
3
2
+
2
1
-5-4-3-2-1
6
4
tar
X
-1
1 2 3
1 2 3 4 5
5 -5-4-3-2-1,
22
2
3
2
3
4
3
4
15
4
3
Save and Exit
Next
Submit
Mark this and return
Answer:
Step-by-step explanation:
The graph of x - y = 1 is plotted below
Plotting linear graphsThe given equation is:
x - y = 1
The equation can be rewritten as:
y = x - 1
This is of the form y = mx + 1
where m is the slope
c is the y-intercept
Compare the equation y = mx + 1 with y = x - 1
The slope, m = 1
The y-intercept, c = -1
The graph of the equation y = x - 1 is plotted below
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3/4 x 25 please bro and i need to make this longerrrr
Answer:
18.75
Step-by-step explanation:
18.75
5. Amy, Beth and Colin share some sweets in the ratio 2:3:4
Amy received 8 sweets.
Work out the number of sweets Beth receives.
Answer:
let the rati be x
2x=8
x=4sweets
beth=3x=3×8=24 sweets
Step-by-step explanation:
plz make me brainliest
Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%
Answer:
Decreasing; 0.8%
i need help with finding slopes from graphs
Y=2+-4x
Step-by-step explanation:
Hope ot helps
Learning Task 3: In your answer sheet, write the letter of the correct answe
1. Which is a polynomial function?
Plx) = 2x3 + 32 - 4x + 4
c. c. G(x) = 2x-3 +5
B. H2) = 4x1/2 - 3x 4
D. F lrl = 2x3-5x + 3
3x2
Answer:
a.) May or may not a polynomial function ( depends on c)
b.) Not a polynomial function.
c.) Not a polynomial function.
d.) It is a polynomial function.
Step-by-step explanation:
A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]
where n is positive integer and n[tex]\neq[/tex] 0
a.)
P(x) = 2x³ + 32 - 4x + 4c
It may or may not a polynomial function because we did not know about the constant c.
b.)
H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴
It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.
c.)
G(x) = 2[tex]x^{-3}[/tex] + 5
It is not a polynomial function because -5 is not a positive integer.
d.)
F(x) = 2x³ - 5x + 33x²
It is a polynomial function.
The standard form of a polynomial is expressed as;
[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]
The leading power of a polynomial must be greater than 2 and must be a positive integer.
a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]
This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.
b) For the function [tex]G(x)=2x^{-3}+5[/tex]
This is not a polynomial because the leading degree of the polynomial is a negative integer
c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]
This is not a polynomial because the leading degree of the polynomial is a fraction.
d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]
This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.
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By stips please ........
Answer:
6x + 3h
Step-by-step explanation:
F(X) = 3x^2
F(X+h) = 3(X+h)^2
then F(X+h) - F(X) / h
= 3(X+h)^2 - 3x^2 / h
= 3(x^2 + 2hx + h^2) - 3x^2 / h
= 3x^2 + 6hx +3h^2 - 3x^2 / h
= 6hx + 3h^2 / h
= h (6x +3h) / h
= 6x + 3h
I hope this answer is correct
a 4kg ham cost $13/kg. Find the cost per pound . Round to the nearest hundred
Answer:
The cost per pound of the ham is $5.89.
Step-by-step explanation:
Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:
1 kg = 2.20462 pounds
2.20462 = 13
1 = X
((1 x 13) / 2.20462) = X
13 / 2.20462 = X
5.89 = X
Therefore, the cost per pound of the ham is $5.89.
MARKING BRAINLIEST
Which sentence is an example of an objective summary from Cynthia Crossen's "A Culinary Wasteland"?
A. Furthermore, Mr. Schlosser's appraisal is not comprehensive but a hodgepodge of impressions, statistics, anecdotes and prejudices.
B. As a stickler about statistics, I was disturbed by Mr. Schlosser's cavalier manipulation of data, which produced some startling — and, frankly, unbelievable — "facts."
C. Americans are addicted to cheap, bad food, he argues, and like all addictions, this one exacts broad and often unseen costs from the community.
D. Taking individual responsibility for one's impact on the global economy is far more complicated than just saying no to fast food, as Mr. Schlosser advises.
Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours?
Answer:
24 miles
Step-by-step explanation:
3 hours = 180 minutes
[tex]\frac{4}{y}: \frac{30}{180}[/tex]
y × 30 = 4 × 180
30y = 720
30y ÷ 30 = 720 ÷ 30
y = 24
SOMEONE PLZZ HELP, I HAVE A TEST AND DONT KNOW HOW TO DO THIS!!
A recent survey of 1210 people found that out of all respondents, only 579 shop at local farmer's markets.
Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place. 2 points
Is this a part-to-part or a part-to-whole ratio? 1 point
Only on your paper: Write a sentence about the ratio. (Remember not to use the word "ratio" and to use a percent version, if it is a part-to-whole ratio.)
Find the slope of the line for the angle.
330 degrees
please help me! i’ll mark you as brainlist !
Answer:
6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.
7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.
Step-by-step explanation:
Plz help me! I’m not sure how to do these!
Answer:
Step-by-step explanation:
Wait where is the picture
Please help with this question ASAP
Answer:
B. 28/15
Step-by-step explanation:
7/3 x 4/5 = 28/15
please help meeeeeeeeeeeeeeeeeeee
Answer:
It took more than 3 hours
Step-by-step explanation:
Because 4/4 is 3 hours if it is higher then that is is more than 3 hours.