Answer: $13
Step-by-step explanation:
I got it right I promise
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.
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.
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
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
The length of the legs of a 45-45-90 Special Right Triangle are 5 inches. How long is the hypotenuse of the triangle?
Question 1 options:
15 inches
5√3– inches
5√2– inches
10 inches
Answer:
[tex]5\sqrt{2}[/tex]
Quiz results:
The length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
For this case, we're specified that:
The triangle is 45-45-90 Special Right Triangle,that means, two of its angles are of 45 degrees and one is of 90 degrees.The legs of the triangle (non-slant side, the sides which are perpendicular to each other) are of 5 inches length.Thus, as shown in the diagram, the hypotenuse is AC.
Its length is found using the Pythagoras theorem as:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\|AC|^2 = 5^2 + 5^2 = 25 + 25 = 50\\\\\text{Taking roots, but positive as AC is length, a non-negative quantity}\\\\|AC| = \sqrt{50} = \sqrt{25 \times 2} = \sqrt{5^2 \times 2} = 5\sqrt{2} \: \rm inches[/tex]
Thus, the length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
What is the measure of FBC?
Type your response below
Answer:
150
Step-by-step explanation:
Since EC is 180,
180-30=150
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.
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
Adam bought a guitar on sale for 15% off. The sale price he paid was $297.50 (not including tax) What was the regular price of this guitar?
Answer:
Sales Price= $297.50
Regular Price= $297.50/85 * 100= $350
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).
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
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 :)
Does the table represent a linear or nonlinear function
Answer:
Non-Linear
Step-by-step explanation:
Answer:linear
Step-by-step explanation:
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.)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
PLZ HELP NOW IM FAILING
Answer:
1.b
2.c
Step-by-step explanation:
f(x)+g(x)
3x-2+6-4x
-x+4
4-x. addition is commutative
3x²*4x/(3x2*2x)
2
Answer:
first one is B
second one is c
Step-by-step explanation:
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
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.
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
i love you all thnx for the support <333
Answer:
np
Step-by-step explanation:
Thanks for the points:)
Answer:
we love u too!!! lol idek know u but u seem sweet
Step-by-step explanation:
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
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
HELP ME THIS SUCKS
I'll give you brainless
Answer:
m∠1= 38°
Step-by-step explanation:
180-145= 35
107+35= 142
angles in a triangle add up to 180
if the two known angle add up to 142
just do the easy math
180-142
= 38
m∠1= 38°
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.
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
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
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!
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
A pizza has a radius of 13.5 centimeters. What is the CIRCUMFERENCE of the pizza? Use 3.14 for pi. Round to the nearest tenth
Answer:
The circumference is:
[tex]C=84.8\: cm[/tex]
Step-by-step explanation:
The pizza is a circle, so the circumference equation is given by:
[tex]C=2\pi R[/tex]
Where:
R is the radius of the circumference.pi is 3.14Therefore, the circumference is:
[tex]C=2\pi*13.5[/tex]
[tex]C=84.8\: cm[/tex]
I hope it helps you!
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?