Considering the situation described, we have that:
a) The linear function is given by: y = -590x + 41100.
b) The prediction for the population in 2014 is of 34,610.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the have that:
The initial population is the y-intercept of b = 41100.In 8 years, the population decreased by 4720, hence the slope is of m = -4720/8 = -590.Thus the equation is:
y = -590x + 41100.
2014 is 11 years after 2003, hence the prediction is:
y = -590(11) + 41100 = 34,610.
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Write an equation in standard form of the line that passes through (1, 3) and has a slope of –4.
Answer:
work is shown and pictured
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
for the independent-measures t test, which of the following describes the estimated standard error of the difference in sample means (whose symbol is
For an independent-measures t test, the option that describes the estimated standard error of the difference in sample means is D. an estimate of standard distance between the difference in the sample mean and the difference in the corresponding population mean.
What is a T test?A statistical test called a t test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment actually affects the population of interest or whether two groups differ from one another.
The Independent Samples t Test compares the means of two separate groups to see if there is statistical support that the population mean values are statistically significantly different. A parametric test is called the Independent Samples t Test. For instance, you could determine whether first-year graduate salaries varied by gender using an independent t-test.
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Complete question
for the independent-measures t test, which of the following describes the estimated standard error of the difference in sample means (whose symbol is
a. a weighted average of the two sample
b. the difference between the standard deviationa
c. The variance
d. an estimate of standard distance between the difference in the sample mean and the difference in the corresponding population mean.
Jose is buying fencing to surround his garden. If his garden has a perimeter of 24 yards, and fencing costs $3.00 a foot, how much money will he need for the fencing?
Answer:
216 dollars
Step-by-step explanation:
24yd*3= 72 feet*3= 216 dollars
if my answer helps please mark as brainliest.
Answer:
72$
Step-by-step explanation:
24*3.00
What is the greatest common factor of 20 and 36? A2 B4 C5 D6
Answer:
4
Step-by-step explanation:
Limes are on Sale. The sale price for 8 limes for 2.00 Why could the unit rate be 4 or 0.25
The unit rate of lime is 0.25 dollars.
How to solve unit rate?Limes are on sale.
The sale price is 8 limes for 2 dollars.
The unit rate of lime can be calculated as follows:
A rate is a ratio that compares quantities in different units.
A unit rate is a rate where the second quantity is one unit, such as $80 per pound, 25 km per hour, 80 naira per Ghana cedi's, etc.
Therefore,
8 limes = 2 dollars
1 lime = ?
cross multiply
Hence,
unit rate = 2 × 1 / 8
unit rate = 2 / 8
unit rate = 1 / 4
unit rate of lime = 0.25
Therefore, the unit rate of lime is 0.25 dollars.
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HELP i need this awnser now
simplify 2/3 + 1/12 + 1/4
Answer:
this is your answer
Step-by-step explanation:
please mark as brainlist
Marcus was interested in whether the frequency that students check emails impacts their grades in the class. He categorized students into three groups. Those who checked email daily, those who checked email at least 2x a week (but not every day), and those who checked email less than 2x a week. Below are the GPAs for the students he studied. Conduct the steps of hypothesis testing on these data.
Table of data: GPAs for students separated by how often they check their email
Daily 2x a week Less than 2x a week
3.6 3.5 2.9
3.5 3.4 3.0
3.7 3.2 3.2
4.0 3.2 2.7
The steps to conduct the steps of hypothesis testing on these data are:
State the null hypothesis (H0) as well as the alternative hypothesis (H1):Select the significance level (alpha): Select the right test statistic:Formulate the decision rule:Compute the test statistic as well as the p-value:Decide on a decision.What is the hypothesis?The hypothesis will be:
H0: Email frequency does not affect grades.H1: Email frequency affects grades.Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.
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4D. Jenna has ten 50 coins, ten 100 coins and ten 20c coins.
She chooses three of these coins and adds them together to find the
total amount.
How many different total amounts could she get?
Answer:
10 different amounts
Step-by-step explanation:
50+50+50= 150
100+100+100= 300
20+20+20= 60
100+50+50= 200
100+100+50= 250
20+50+50= 120
20+20+50= 90
100+20+20= 140
100+100+20= 220
50+20+100= 170
Graph the image of M(
–
9,1) after a rotation 270° counterclockwise around the origin.
What two numbers add to 29 and multiply to 28
If XY is a chord of a circle with centre O and P is a point on XY such that YP = 4PX, OP = 6cm and the radius of the circle is 8cm, find the length of the chord XY.
Answer:
\(XY=5\sqrt{7}\;\; \sf cm\)
Step-by-step explanation:
If YP = 4PX then the ratio of XP : PY = 1 : 4.
Let XP = x and PY = 4x, therefore the length of XY = 5x.
Let M be the midpoint of chord XY.
Therefore, if XY = 5x then XM = MY = 2.5x.
So PM = 1.5x.
\(\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}\)
Use Pythagoras Theorem to create two expressions for OM².
For right triangle OMP:
a = MP = 1.5xb = OMc = OP = 6\(\implies MP^2+OM^2=OP^2\)
\(\implies (1.5x)^2+OM^2=6^2\)
\(\implies 2.25x^2+OM^2=36\)
\(\implies OM^2=36-2.25x^2\)
For right triangle OMY:
a = MY = 2.5xb = OMc = OY = 8\(\implies MY^2+OM^2=OY^2\)
\(\implies (2.5x)^2+OM^2=8^2\)
\(\implies 6.25x^2+OM^2=64\)
\(\implies OM^2=64-6.25x^2\)
Use the method of substitution to solve for x:
\(\implies OM^2=OM^2\)
\(\implies 36-2.25x^2=64-6.25x^2\)
\(\implies 4x^2=28\)
\(\implies x^2=7\)
\(\implies x=\sqrt{7}\)
As XY = 5x, then:
\(\implies XY=5\sqrt{7}\;\; \sf cm\)
solve for x and y graphically, 2y= 3x+1 and y=2x+3
Answer:
\((-\frac{1}{3},\frac{1}{2} )\) , \((-\frac{3}{2} ,3)\)
Step-by-step explanation:
2y = 3x + 1
y = 2x + 3
Graph 2y = 3x + 1.
Divide each term by 2 and simplify.
\(y=\frac{3x}{2}+\frac{1}{2}\)
Rewrite in slope-intercept form.
\(y=\frac{3}{2}x+\frac{1}{2}\)
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y = mx + b.
\(m=\frac{3}{2}\)
\(b=\frac{1}{2}\)
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: \(\frac{3}{2}\)
y-intercept: \((0,\frac{1}{2} )\)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Find the x-intercept.
x-intercept(s): \((-\frac{3}{2},0 )\)
y-intercept(s): (0, 3)
Create a table of the x and y values.
_x_|_y_
\(-\frac{3}{2}\) | \(0\)
\(0\) | \(3\)
Graph the line using the slope and the y-intercept, or the points.
Slope: 2
intercept: (0, 3)
_x_|_y_
\(-\frac{3}{2}\) | \(0\)
\(0\) | \(3\)
Graph y = 2x + 3
Use the slope-intercept form to find the slope and y-intercept.
Slope: 2
intercept: (0, 3)
x-intercept(s): \((-\frac{3}{2},0)\)
y-intercept(s): (0, 3)
Plot each graph on the same coordinate system.
Evaluate the expression (2b+3a)×(c to the power of 2) when a=4 , b=3 , and c=1/3 .
Answer:
2
Step-by-step explanation:
(2b+3a) x (c power 2)2*3+3*4 x 1/3 power 2
6+12 x 1/9
18 x 1/9
2 x 1 (because 9 and 18 are cutted by each other)
2
2
Step-by-step explanation:To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:
(2b + 3a) × (c^2)
= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)
= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)
= 18/9
= 2
Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.
What’s the answer to the question for 5z
What is the measure of each exterior angle of a regular 15-sided figure?
o 180°
O 360°
o 24°
o 156°
Answer:
24°
Step-by-step explanation:
A regular 15-sided figure is 360°
Interior angle = 180°
Exterior angle = 180°
180 + 180 = 360
360° / 15 sides = 24° per side
i need helppp!!
worth 10 points
Answer:
I think that it is 120 but not sure
Step-by-step explanation:
sorry if wrong
what is 0.08 1/10 of
Answer:
0.8
0.08 x 10 = 0.8
Answer:
0.8 I think.
Step-by-step explanation:
0.8×10 I hop tho helps
Kayla consumed 1800 calories on Monday. She consumed 500 more calories on Tuesday than she did on Monday. On Wednesday, she consumed 100 calories less than she had on Tuesday. Find the rate of change in calorie intake from Monday to Wednesday.
Answer: +200 calories/day
Step-by-step explanation:
Answer: 200 calories/per day
Step-by-step explanation:
A rectangle has an area of 1/6 square centimeters and a length of 1.5 centimeters. What is the width? what is the perimeter?
The width of the rectangle is 1/9 cm.
The perimeter of the rectangle is 3.2 cm.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Rectangle:
Area = 1/6 cm²
Length = 1.5 cm
Width = w
Now,
Area = length x width
Perimeter = 2 (length + width)
So,
1/6 = 1.5 x w
w = 1/(6 x 1.5)
w = 1/9 cm
And,
Perimeter.
= 2 (1.5 + 1/9)
= 2 x (13.5 + 1)/9
= 29/9
= 3.2 cm
Thus,
The width of the rectangle is 1/9 cm.
The perimeter of the rectangle is 3.2 cm.
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Could y’all PLEASE HELP
Answer:
should be complementary angles
Sixty-nine percent of U.S heads of household play video or computer games. Choose 4 heads of household at random. Find the probability that none play video or computer games.
Answer: 0.00923521
Step-by-step explanation:
Given : The probability U.S households play video or computer games=69%=0.69
here, the probability of each U.S household play video or computer games is fixed as 0.69
Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31
For independent events the probability of their intersection is product of probability of each event.
Now, the probability that none play video/computer games will be :-
\((0.31)^4=0.00923521\)
You invested $4000 between two accounts paying 3% and 4% annual interest. If the total interest earned for the year was $130, how much was invested at each rate?
You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.
To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).
According to the given information, the total interest earned from both investments is $130. So we can set up the equation:
0.03x + 0.04($4000 - x) = $130
Simplifying the equation:
0.03x + 0.04($4000 - x) = $130
0.03x + $160 - 0.04x = $130
-0.01x = $130 - $160
-0.01x = -$30
x = -$30 / -0.01
x = $3000
Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
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The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City D
Answer: 12% of people responded as City D
Calculate the area of the triangle:
A. 48 square units
B. 14 square units
C. 24 square units
D. 10 square units
HELP ME PLS PLS ASAP PLS PLZ PLS
Answer: C
Step-by-step explanation: 8(6)=24
Mary’s rectangular garden is 27 units long and 49 units wide. What is the perimeter?
Answer:
152 units
Step-by-step explanation:
Two sides of the rectangle are 27 units long and the other two sides are 49 units wide. You just add all the numbers up (27+27+49+49). When you do that, you get 152. I hope this helps!
A number is chosen from the set {1, 2, 3, 4,..., 18). What is the probability that the number is a factor of 6?
• 1/2
0 2/3
0 2/9
0 3/8
0 4/5
Answer:
2/9
Step-by-step explanation:
set: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 (18 numbers)
factors of 6: 1,2,3,6 (4 numbers)
probabilty that the number is a factor of 6: 4/18 = 2/9
Twelve large bottles of water cost $9. a. How many bottles can you buy for $3?
Answer:
4 bottles
Step-by-step
3 is 1/3 of 9 and 12/3 is 4 bottles
Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local maximum and local minimum rounded to the nearest tenth?
A) max ≈ -15.6 , min ≈ 1.6
B) max ≈ 1.6 , min ≈ -15.6
C) max ≈ 2.3 , min ≈ -0.3
D) max ≈ -0.3 , min ≈ 2.3
The approximate x-values for the local maximum and the local minimum are given as follows:
D) max ≈ -0.3 , min ≈ 2.3.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.Hence the critical points of the graphed function are given as follows:
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Is (3, 5) a solution to this system of equations?
y = 5
Y= -5/3x+10
yes
E
Answer:
no
Step-by-step explanation:
-5/3x+10=5
-5/3x=5-10=-5
3x=-5/-5=1
=>x=1/3