Answer:
-6, -5 ,-3 ,-1 ,1 ,4
4 A group of 40 mountain goats has just been
transplanted to an area with the expectation
their population will increase exponentially by
30% each year. If f(x) represents their total
population and x is the number of years in the
future, which function models the situation?
Answer:
f(x) = 40 × (1.3)ˣ
Step-by-step explanation:
4. The given parameters of the population of mountain goats are;
The initial number of mountain goats, a = 40
The rate at which their population will increase, r = 30% = 0.3 exponentially
The total population after 'x' years is given by f(x)
For exponential growth, we have;
f(x) = a·(1 + r)ˣ
Plugging in the values, we get;
f(x) = 40 × (1 + 0.3)ˣ = 40 × (1.3)ˣ
The American Water Works Association reports that the per capita water use in a single-family home is 76 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-seven owners responded, and the sample mean water use per day was 71 gallons with a standard deviation of 9.5 gallons per day. At the 0.01 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average
Answer:
Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average
Step-by-step explanation:
The data given by the American Water Works Association are;
The per capita water use in a single-family home, μ = 76 gallons per day
The number of responders in the sample, n = 27
The sample mean water used by the sample, [tex]\overline x[/tex] = 71 gallons
The standard deviation, s = 9.5 gallons per day
The level of significance, α = 0.01
The test statistics is given as follows;
The null hypothesis, H₀; μ ≥ 76 gallons
The alternative hypothesis, Hₐ; μ < 76 gallons
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817[/tex]
At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5
From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418
Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.
can someone help me and work it out plzzzz
9514 1404 393
Answer:
(c) x ≥ 0(d) reals ≥ 2Step-by-step explanation:
The square root is only defined for arguments that are greater than or equal to zero.
√x . . . . defined for x ≥ 0
It will only have non-negative values.
√x . . . . has values ≥ 0
Using these facts, we can answer the questions.
__
1. The domain is the set of values x may have. The square root function limits the domain to x ≥ 0.
__
2. The range is the set of values y may have. The square root function is never negative, so the range must be 2 or greater.
y ≥ 2
help me out here? (check the attached image if you're somewhat good at geometry)
Answer:
14
Step-by-step explanation:
you just look at how much everything equals and that it is adding by 2
Please help.. not really understanding this
Answer:
(-4,5)
Step-by-step explanation:
use elimination method to solve
x+2y=6
3x+4y=32
make the x coefficient to be equal by multiplying the x by 3
3x+6y=18
-3x+4y=32
since the signs for the z coefficient are different than you add 3x+-3x=0
6y+4y=10y
18+32=50
10y=50
y=5
if y is equal to 5 then substitute
x+(2*5)=6
x+10=6
x=-4
(-4,5)
The number of traffic citations given daily by two police departments over a two-week period is shown in the box-and-whisker plots. Which statement is NOT true?
a.The East department gave the greatest number of citations in one day.
b.The East department gave the least number of citations in one day.
c.The East department has a greater IQR than the West department.
d.The East department has the greater median of citations in one day.
Answer:
b. The East department gave the least number of citations in one day.Step-by-step explanation:
a. The East department gave the greatest number of citations in one day.
True, 210 > 190 (approx.)b. The East department gave the least number of citations in one day.
False, 110 > 90 (approx.)c. The East department has a greater IQR than the West department.
True, 4 out of 5 numbers are greaterd. The East department has the greater median of citations in one day.
True, 143 > 135 (approx.)Jason divides his first 1/2 mile of the trail into 3 sections. He puts a sign at the end of each section. If the signs are an equal distance apart, what is the distance between the second and third signs?
Answer:
1/6 mile
Step-by-step explanation:
Distance divided = 1/2 miles
No of sections = 3
Each division must equal = 1/2/3
= 1/2*1/3 = 1/6 mile.
The distance between each of the signs i.e between the first and second , second and third is 1/6 of the mile.
This can be done in decimals as well
1/2 mile= 0.5 mile.
When we divide 0.5 mile by 3 we get 0.167 which is equal to 1/6 in fractions.
Does the table represent a linear or nonlinear function
Answer:
Non-Linear
Step-by-step explanation:
Answer:linear
Step-by-step explanation:
topic integers
please solve this question
urgent
Given:
i) 3, -5, -2, 1
ii) -1, -8, -7, -2
iii) -2, -4, 0, 2
To find:
increasing order of the given numbers.
Solution:
Increasing order: We need to start from the smallest number, then write larger number and end with the largest number.
We know that all negative numbers are less than the positive numbers and larger negative value is always the smaller one.
For example: -3 is less than -1.
i) We have,
3, -5, -2, 1
So, the increasing order of these number is -5, -3, -2, 1.
ii) We have,
-1, -8, -7, -2
So, the increasing order of these number is -8, -7, -2, -1.
iii) We have,
-2, -4, 0, 2
So, the increasing order of these number is -4, -2, 0, 2.
how do you find the value of x
Answer:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
isnt the x a 90 degree angle?
What is the answer? Please help. Urgent.
Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:
[tex]V_1=Length\times Width \times height[/tex]
[tex]V_1=16\times 7 \times 3[/tex]
[tex]V_1=336[/tex]
The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is
[tex]B=\dfrac{1}{2}\times Base\times Height[/tex]
[tex]B=\dfrac{1}{2}\times 3\times 5[/tex]
[tex]B=7.5[/tex]
The volume of a prism is:
[tex]V_2=Bh[/tex]
Where, B is the base area and h is the height of the prism.
[tex]V_2=(7.5)(6)[/tex]
[tex]V_2=45[/tex]
The volume of combined figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=336+45[/tex]
[tex]V=381[/tex]
Therefore, the volume of the figure is 381 cubic in.
Ana compró una cartera cuyo precio original es de x dólares con el 10% de descuento y un perfume con precio original de B dólares con un descuento del 15%¿cuanto gasto en total Ana?
Answer:
Tarea:
Ana compró una cartera cuyo precio es x dólares con el 10% de descuento y un perfume con precio original en dólares con un descuento del 15%. ¿Cuánto gastó Ana en total?
- Solución:
El precio estará en lenguaje algebraico, ya que no nos dan el dato de cuánto costó cada artículo.
• Hallamos el precio de la cartera con el descuento:
El precio original es x, entonces:
Regla de tres:
100 % --------> x
10 % -----------> ?
10 . x : 100 = ?
10x/100 = ?
El 10% del precio de la cartera es 10x/100.
Entonces el precio de la cartera es (x-10x/100).
• Hallamos el precio del perfume con el descuento:
El precio original es y, entonces:
Regla de tres:
100% -------> y
15 % --------> ?
15.y/100
El 15% del perfume es 15y/100.
Entonces el precio del perfume con el descuento es (y-15y/100).
Entonces lo que gastó en total es:
(x - 10x/100) + (y - 15y/100)
Step-by-step explanation:
pls give me brainless
If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base?
Answer:
r = 6 inch
Step-by-step explanation:
Given that,
The height of a cone, h =8 inches
The slant height of the cone, l = 10 inches
We need to find the radius of the base. The relation between height, radius and the slant height of the cone is given by :
[tex]r=\sqrt{l^2-h^2} \\\\r=\sqrt{10^2+8^2} \\\\r=6\ inch[/tex]
So, the radius of its base is equal to 6 inches.
Lakota is planning on creating a gigantic flag to honor the greatness of the superintendent, Mr. Miller. The main part of the flag will be a gigantic picture of Mr. Miller’s face. The picture will be 12 meters by 16 meters. Around the outside will be a uniform border. The total area of the flag with the border will be a total of 285 square meters. Determine the width of the border that will be surrounding the picture of our great leader.
HURRY PLEASE
Answer:
285 square mwters
Step-by-step explanation:
length 16 meters X width 12 meters = 192
(Lx2x) (Wx2x)= 285
Will mark brainliest! Please help me with this math! No links or trolls please. :)
Answer:
m∠A≈ 36
m∠B≈ 55
c≈ 25.8
Step-by-step explanation:
i hope this helps you :)
Q3) Which of the following objects most closely resembles a golden rectangle and why?
a)8X5 inch paper.
b) 13X21 inch canvas.
Answer:
b :)
Step-by-step explanation:
brain list pls
ill mark brainliest, question is attached
Answer:
v = 9
Step-by-step explanation:
6(v + 3) = 72
6v + 18 = 72
6v = 54
v = 9
Answer:
V = 9
Step-by-step explanation:
6(v + 3) = 72
Divide both sides by 6
6(v+3)/6 = 72/6
SImplify:
v + 3 =12
Subtract 3 from both sides:
v + 3 - 3 = 12 - 3
Simplify to get your answer of:
v = 9
Hope this helped,If you have any questions revolving around this topic,feel free to ask me and I will be glad to help,Good luck!
The polygons in each pair are similar. Find the scale factor of the smaller figure to the
larger figure.
A.2:3
B.5:7
C.1:5
D.6:7
Answer:
1 : 5
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, smaller to larger, then
3 : 15 = 1 : 5
Solve for x. 3.8 + 4.5x - 1.4 = 8.25
Answer:
x = 1.3
Step-by-step explanation:
Eliminate fractions first. Multiply all four terms by 100. The result will be:
380 + 450x - 140 = 825
Combine like terms:
240 + 450x = 825, or
585 = 450x, or:
x = 1.3
What are the values of x in the equation (x - 3)2 = 7?
Answer:
Exact Form - 13/2
Decimal Form - 6.5
Mixed Number Form - 6 1/2
Hope this helps
Which equation represents a line that passes through the points (4, 5) and (6, 9)? A. y = 2x-3 B. y - 3x-7 C. y= x + 3 D. y- + x + 7
Answer:
A) y=2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-5)/(6-4)
m=4/2
m=2
y-y1=m(x-x1)
y-5=2(x-4)
y=2x-8+5
y=2x-3
Guys I need help on this please
Answer:
The correct answer should be the first option.
Step-by-step explanation:
Answer:
First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞
Step-by-step explanation:
I graphed this function
Domain: x ∈ R
Range: y ∈ [-5, + ∞
Minimum (1, -5)
Verticle intercept (0, -4)
I WILL GIVE BRAINLIEST PLEASE ANSWER ASAP
Which equation can be used to solve for x in the following diagram?
A) 3x + (8x - 20) = 90
B) 3x = (8x - 20)
C) 3x + 90 = (8x - 20)
D) 3x + (8x - 20) = 180
Answer:
Step-by-step explanation:
It’s c
Pls help meee!!! And thank you sooo much
Answer:
The answer is (3, -3)
Step-by-step explanation:
Translating it down means subtracting from the second value, or the y value. 0 - 3 = -3. You keep the x value the same.
Answer:
C(3, -3).
Step-by-step explanation:
When it is translated down, the y-coordinate changes.
Subtract 3 from the y-coordinate.
C(3, 0) becomes C(3, -3).
The width of a rectangle is 1 units less than the length. The area of the rectangle is 30
units. What is the length, in units, of the rectangle?
Answer:
width is 5, length is 6
Step-by-step explanation:
5x6=30
What is the value of the expression 6c^2 - 5d + 8, when c=5 and d=4?
Answer:
138
Step-by-step explanation:
6c^2- 5d +8
6(5)^2- 5(4) + 8
6(25) - 5(4) + 8
150 - 5(4) +8
150 - 20 + 8
130 + 8
138
The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of \piπ.
Answer:
Area = 9π sq. m.
Step-by-step explanation:
C = πd
6π = πd
d = 6
r = 3
A = π[tex]r^{2}[/tex] = π[tex]3^{2}[/tex] = 9π sq. m.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP FAST IT'S ASAP
Answer:
572.3
Step-by-step explanation:
Diameter = 27m
Radius = d / 2 = 27 / 2 = 13.5m
Area = pi x r²
= 3.14 x (13.5)²
= 3.14 × 182.25
= 572.3
How do I solve this? I need step by steps, please.
Answer:
sorry i didn't know it
i tried i got the 3 one but ¨i'm not sure¨
Jodie has 68 red marbles and 272 blue marbles. What percent of Jodie’s marbles are red?
Answer:
20%
Step-by-step explanation:
To do this we need to find the total number of marbles
272 + 68 -> 340
Now we divide 340 by 68 to get
68/ 340 = .2
Multiply by 100 because percent means PER 100 so to get this decimal in percent form multiply by 100
.2 * 100 = 20%
20% of Jodie's marbles are red