According to the American Academy of Ophthalmology, 25% of Americans have brown irises. A random survey of students at a local community college found that 58 out of 175 had brown irises. What is the test statistic (ie the Z score) for this sample of students
Answer:
2.49
Step-by-step explanation:
Given X= 58
N = 175.
P = 25% = 0.25.
[tex]P' = \frac{X}{N} = \frac{58}{175} = 0.3314\\Z = \frac{P'-P}{\sqrt{\frac{pq}{N} } }[/tex]
Now plugging the values we get
[tex]= \frac{0.3314-0.25}{\sqrt{\frac{0.25\times0.75}{175} } }[/tex]
=2.49
can someone solve this? (x+2)2+y2=25
Answer:
x wouild equal
ywould equal
Step-by-step explanation:
eqaution
simplify (6^7)^3
a.(1/6) ^ 21
b . 6^21
c. 42^3
d. 6^10
Answer:
B is the answer.
Step-by-step explanation:
Use power rule: (x^a)^b = x^ab.
[tex] {6}^{21} [/tex]
Answer:
b. 6²¹
Step-by-step explanation:
(6⁷)³=(6³)⁷===> 6²¹
8 divided by 1 4/5.
Someone pls tell me the answer
Answer:
The answer is 40/9
Step-by-step explanation:
Find area of the shaded region.
PLZ I NEED HELP ASAP!!!
BRAINLIEST TO CORRECT ANSWER!!!
XTRA POINTS!!!
NO LINKS!!!
I WILL REPORT!!!
Answer:
area of shaded portion = 226.09 m²
Step-by-step explanation:
area of circle = πr² = (3.14)(18.6²) = 1086.314 m²
area of 123° segment = (123/360)(1086.314) = 371.157 m²
cos 61.5° = height/18.6 = 8.875
height of triangle = 8.875 m
sin 61.5° = 1/2base/18.6 = 16.346, base = 32.692 m
base of triangle = 32.692 m
area of triangle = 1/2bh = 1/2(8.875)(32.692) = 145.071 m²
area of shaded portion = 371.157 - 145.071 = 226.09 m²
Three men working together can finish a house repair job in 10 days. How manydays will 5 men working at the same rate finish the same job? *
Answer:
17 days
Step-by-step explanation:
Number of days in which 3 men can finish a house repair job = 10 days
Number of days in which 1 man can finish a house repair job = [tex]\frac{10}{3}[/tex] days
Therefore,
Number of days in which 5 men can finish a house repair job = Number of days in which 1 man can finish a house repair job × 5
[tex]=\frac{10}{3}(5)=\frac{50}{3}=16.6[/tex] ≈ 17 days
PLS HELP ASAP WILL GIVE BRAINLEAST
Answer:
32
Step-by-step explanation:
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
x = 45°
Step-by-step explanation:
x = 90° - 45° = 45°
What is the surface area of this design?
5 in.
8in
8 in.
4 in.
4 in.
Answer:
Step-by-step explanation:
245
Answer:
Step-by-step explanation:
help??????? please???????
Answer:
28 across and 21 down ( I think, cant really read the numbers)
A circular plate has circumference of 30.1 inches. What is the area of this plate? Use 3.14 for pi
Answer:
Area of a circle=Πr²
Getting r from:
circumference of a circle=2Πr
30.1 =2(3.14)r
30.1 =6.28r
4.8 =r
Area=3.14(4.8)²
=3.14(23.04)
=72.3
The area of the circular shaped plate is given by A = 71.536 inches²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circular plate be r
Now , circumference of a circle is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference of the plate is 30.1 inches, so we can set up an equation:
30.1 = 2πr
Solving for r:
r = 30.1 / (2π)
r ≈ 4.788 inches (rounded to three decimal places)
Now that we know the radius, we can use the formula for the area of a circle:
A = πr²
Plugging in the value of r:
A = 3.14 x ( 4.788 )²
A ≈ 71.536 inches²
Hence , the area of the circular plate is approximately 71.536 square inches
To learn more about circle click :
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Michael deposited $2000 into a simple interest savings account. In eight years,
he has a total of $2520 in his account. What interest rate did the bank give
Michael when he opened his account?
a. 2.5%
b. 3.75%
C. 3.25%
d. 2.25%
Answer:
3.25%
Step-by-step explanation:
2520/2000=1.26
1.26-1=.26
.26/8=.0325
.0325*100=3.25%
Decrease 117kg in the ratio 10:13
Answer:
50.87 : 66.13.
Step-by-step explanation:
10/(10+13) * 117
= 10 * 117 / 23
= 50.87.
117 - 50.87 = 66.13.
When 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
What is ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.
Therefore, suppose the given 117 kg of amount is divided in two parts viz [tex]x \: \rm kg[/tex] and [tex]y \: \rm kg[/tex] having ratio as 10:13
Then, we get two equations as:
[tex]x + y = 117[/tex]
[tex]\dfrac{x}{y} = \dfrac{10}{13}[/tex]
From the second equation, we get x in terms of y as:
[tex]\dfrac{x}{y} = \dfrac{10}{13}\\\\\text{Multiplying y on both the sides}\\\\x = \dfrac{10y}{13}[/tex]
Putting this value of x in first equation, we get:
[tex]x + y = 117\\\\\dfrac{10y}{13} + y = 117\\\\\dfrac{10y + 13y}{13} = 117\\\\23y = 117 \times 13\\y = \dfrac{1521}{23} \approx 66.13[/tex] (in kg)
And therefore, from the expression for x, we get:
[tex]x = \dfrac{10y}{13} \approx \dfrac{10 \times 66.13}{13} \approx 50.87[/tex] (in kg)
Thus, when 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
Learn more about ratio here:
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solve for X using either sine, cosine, or tangent
Answer:
•12.12
•56.92
Step-by-step explanation:
•Sin 30° = x ÷ 14√3
x=14√3 *Sin30
x=7√3
x=12.12
•Tan30°=6√3÷x
x=6√30 ÷Tan 30
x=18√10
x=56.92
Line parallel to y= -2 + 7
Answer:
So, equation y=7 is parallel to x-axis. A line parallel to X axis. x axis because it is the same thing as y=0x+7 or y=7, therefore y intercept is 7 and slope is 0.
Step-by-step explanation:
Select the correct answer.
Find the solution(s) for x in the equation below.
x(x - 1) = 42
А. x = -7; x = -6
B. x = 7; x = 6
C. x = 7; x = -6
D. x = 6
Answer:
7 and -6 (corresponding to Answer C)
Step-by-step explanation:
Solve x(x - 1) = 42 for x.
To do this, first perform the indicated multiplication and then rearrange the terms in standard quadratic function order:
x^2 - x - 42 = 0
Factoring yields (x - 7)(x + 6) = 0,
leadng to roots 7 and -6 (corresponding to Answer C)
18. Find the area of the triangle.
Answer: 16.5
Step-by-step explanation:
Base: 11
Height: 3
Area of triangle = bh/2
11x3=33
33/2= 16.5
WILLL GIVE BRANLIEST PLSSSSSSSSSSSSSSSSSSSS
Answer:
100°
Step-by-step explanation:
If my calculations are correct, I suppose the final answer will be 100 degrees.
If you see it, It's clearly mirrored.
PLEASE HELP
select all that apply
ANSWER CHOICES:
1. (-3.5.5)
2. (-1,-2)
3. (0,4)
4. (5,-8)
5. (6, 3/2)
Answer:
it is 1 I agree
Step-by-step explanation:
I don't know tho
On a chilly afternoon in New Jersey, the temperature was 4 degrees Fahrenheit. By nightfall, the temperature dropped 9 degrees Fahrenheit. What is the temperature at nightfall in degrees of Fahrenheit?
Answer:
negative 5
Step-by-step explanation:
4-9= -5
GIVING BRAINLIEST HELP ASAP! please tell me how you did it so I can learn it
Answer:
Ok since u want to learn ill teach you :)
Get your 3 points and then your do this
Example= 3 power of 2 plus 5 power of 2
Then ur gonna add and get your answer hope this helps
(if u still don't get it ill just give u the answer)
7.2
Step-by-step explanation:
Hope u kinda got a good start on this :)
Please help, I am not able to find the answer
Answer:
Assuming you are asked for the equation of the graph, the answer would be y=|x+2|-1.
Step-by-step explanation:
The parent function for the "V-shape" is y=|x|. This particular function is translated to the left two units and down one. This is shown by adding two to x within the absolute value and subtracting one from the absolute value of x+2, leaving you with y=|x+2|-1. If you plug this equation into desmos online graphing calculator, you will see that the graph is identical to the one given.
the circumference of a circle is 154cm. What is the diameter of the circle?
Answer:
51.33 cm
Step-by-step explanation:
154cm / π = 51.33 cm
1. La empresa transporta 198 toneladas de cable de acero, desde la ciudad de Arequipa a Cuzco, haciendo uso del servicio de dos camiones, donde la capacidad del camión "A" es 9 toneladas y la capacidad del camión "B" es 2/3 de la capacidad del camión "A", si en total se hicieron 27 viajes, responder las siguientes preguntas
Pregunta completa:
1. La empresa transporta 198 toneladas de cable de acero, desde la ciudad de Arequipa hasta Cuzco, utilizando el servicio de dos camiones, donde la capacidad del camión “A” es de 9 toneladas y la capacidad del camión “B” es de 2/3 de la capacidad del camión “A”, si se realizaron un total de 27 viajes, responda las siguientes preguntas:
a) ¿Cuántos viajes hizo cada camión?
b) ¿Cuántas toneladas de cable metálico transportó el camión de mayor capacidad?
c) ¿Qué parte del total de toneladas transportadas corresponde al camión de menor capacidad?
d) Suponiendo que deba recibir una factura por el servicio de transporte, ¿cómo se debe completar la factura?
Considere la siguiente tarifa de transporte por viaje.
Respuesta:
Camión A = 12 viajes
Camión B = 15 viajes
Camión A = 108 toneladas
Camión más pequeño = 90 toneladas = 5/11 del total de toneladas
Camión A = 13230
Camión B = 11036.25
Explicación paso a paso:
Capacidad del camión A = 9 toneladas
Capacidad del camión B = 2/3 * 9 = 6 toneladas
Total viajes realizados = 27
Toneladas totales de cable de acero a transportar = 198
Sea el número de viajes realizados por
Camión A = a; Camión B = b
a + b = 27 ____ (1)
9a + 6b = 198 __ (2)
Den (1)
a = 27 - b
Ponga un en (2)
9 (27 - b) + 6b = 198
243 - 9b + 6b = 198
243 - 3b = 198
-3b = - 45
b = 45/3
b = 15
a = 27 - 15
a = 12
El camión A tiene la mayor capacidad = 12 viajes * 9 toneladas por viaje = 108 toneladas
Toneladas transportadas por camión de menor capacidad = 15 viajes * 6 toneladas = 90 toneladas
90 toneladas / 198 toneladas = 5/11 del total de toneladas
Tarifa por viaje:
Camión “A” S / .1102,5
Camión “B” S / .735,75
Por eso,
Camión A = 1102.5 * 12 = 13230
Camión B = 735,75 * 15 = 11036,25
High Voltage Gymnasium holds a contest to see who can climb a rock wall the fastest. The table below shows a climber's time in minutes, , and how high up the wall she climbed, in feet, , at different points of her climb.
Assume that the climber climbed the wall at a constant rate. Write an equation that relates and .
Answer: yes
Step-by-step explanation: think about it
In the figure below, there are three right trangles. Complete the following.
Answer:
Step-by-step explanation:
nis fn m
v vm
vrdac
Please answer this. I would greatly appreciate it
No links, no fake answers or your getting reported.
Answer:
The length of the side TU is approximately 29.9 feet long.
Step-by-step explanation:
There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that [tex]\frac{sin(90^{o})}{x} =\frac{sin(42^{o})}{20}[/tex] ⇒ [tex]\frac{x}{sin(90^{o})} = \frac{20}{sin(42^{o})}[/tex] ⇒ [tex]x=\frac{20*sin(90^o)}{sin(42^{o})}[/tex] ⇒ [tex]x=29.9ft.[/tex]
What is the distance, X between Jon's house and Maria's house?
Answer:
20ft
Step-by-step explanation:
Anders flips two coins. Explain why the probability of two heads is 1/4
Answer:
If anders flips one coin, he has a 1/2 chance of heads.
if he flips two, he has to get to heads, which the chances are 1/2 and 1/2
So multiply 1/2*1/2
you get 1/4
For which of the figure(s) below would we calculate VOLUME?
A: Figure A only
B:figure B only
C:figures A and B
D:figures B and C