According to the hypothesis tested, the confidence interval that would lead us to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_0: p < 0.3[/tex] is given by:
(b) (0.19, 0.27)
What are the hypothesis tested?At the null hypothesis, we test if the proportion is of 0.3, that is:
[tex]H_0: p = 0.3[/tex]
At the alternative hypothesis, we test if the proportion is less than 0.3, that is:
[tex]H_1: p < 0.3[/tex]
We want to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_1: p < 0.3[/tex], hence we need an interval that is entirely below 0.3, which is given by option b.
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El área de un rectángulo es 600 cm2 . Calcula las dimensiones del rectángulo sabiendo que su perímetro es 100 metros.
Answer:
Step-by-step explanation:
The area of a rectangle is 600 cm2. Calculate the dimensions of the rectangle knowing that its perimeter is 100 meters.
The formula for the area of a triangle =
Length × Width = 600 cm²
LW = 600
W = 600/L
Perimeter of a rectangle = 2L + 2W = 100m
2L + 2W = 100
we substitute
2L + 2(600/L ) = 100
2L + 1200/L = 100
Multiple all through by L
2L² + 1200 = 100L
2L² - 100L + 1200 = 0
We factorise
2L² - 60L - 40L + 1200= 0
Las dimensiones del rectángulo serían:
Longitud = 30m
Ancho = 20m
Halla el largo y el anchoDado que,
Área del rectángulo = 600[tex]m^2[/tex]
Sabemos,
Área del rectángulo = l × b
entonces,
l × b = 600[tex]m^2[/tex]
⇒ l = 600/b ...(i)
A continuación, tenemos,
Perímetro = 100m
Lo sabemos,
Perímetro del rectángulo = 2(l + b)
⇒ 100 = 2(l + b)
al poner (i), tenemos,
⇒ [tex]100/2 = (600/b + b)[/tex]
⇒ [tex](600 + b^2)/b = 50[/tex]
al resolver esto, obtenemos;
[tex]b^2 + 600 = 50b[/tex]
⇒ [tex]b^2 - 50b + 600 = 0[/tex]
⇒ [tex]b^2 - 30b - 20b + 600= 0[/tex]
⇒ [tex]b(b - 30) - 20(b - 30) = 0[/tex]
⇒ [tex](b - 20) (b - 30)[/tex]
∵ [tex]b = 20 m, b = 30m[/tex]
poniendo el valor de b, podemos encontrar:
[tex]l = 600/20[/tex]
∵ [tex]l = 30 m[/tex]
∵ Longitud = 30m
Ancho = 20m
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HELP ME AS QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The difference in square feet is 75 square feet.
Step-by-step explanation:
Formula for area of a rectangle: Area = length x width
Current measurements: 12 by 10, so
A = 12 x 10 = 120 square feet
New measurements: 15 by 13 (adding 3 feet to each)
A = 15 x 13 = 195 square feet
Subtract to find the difference:
195-120 = 75
Please let me know if you have questions.
what is the surface area of the image shown
6 in.
3 in.
5 in.
Answer:
126.0000
Step-by-step explanation:
some questions I have on a test that I need ASAP...
(for 20 points)
1. j + 12 = 25. What is the value of j?
2. k - 16 = 4. what is the value of k?
3. 12 = 8 + c. what is the value of c?
4. r/10 = 4. what is the value of r?
5. 64 = 16u. what is the value of u?
6. 3v = 12. what is the value of v?
Answer:
J+12=25 J=25-12
J=13
K-16=4 K=4+16
K=20
C+8=12 C=12-8
C=4
R / 10 =4 R =4 x 10
R=40
64=16 x U. U= 64 / 16
U=4
3 x v = 12 V = 12 / 3
V= 4
Step-by-step explanation:
J=13
K=20
C=4
R=40
U=4
V= 4
100 POINTS!!! Given f(x) = [tex]x^2[/tex] - 6x + 8 and g(x) using a table of values. Show your work.
Answer:
X^2-6x+8 -X+2=0
X^2-7x+10=0
(X-5)(X-2)=0
Answer X= 5 and X=2
Step-by-step explanation:
Please need help will mark brainliest find the coordinates of y and x intercept in three order
11. Selvin owns x shoes. Trey has y shoes. The
number of shoes Selvin owns is 1 less than 2 times
the number Trey owns. Together they have a total of
11 pairs of shoes. How many shoes does Selvin and
Trey have each?
solve this question plz 3 / 2 root 3
Answer:
Step-by-step explanation:
Actually, you are to put this expression into standard form, with no radical in the denominator. There's no equation here, just an expression.
3/(2√3) is to be multiplied by √3 to remove the radical from the denominator:
3 √3 3√3 √3
------- * ------ = ------------- = -------
2√3 √3 6 2
(-6,4); (6-5)
Slope
Giving branliaist answer to the best one
can u help me with this question
Answer:
3. y = -2√(x+3) - 5Explanation:
reflected across the x-axis: the y is negative (2 eliminated)
vertically stretched by a factor of 2 (they're all stretched by a factor of 2)
translated left 3 units (1 eliminated)
translated down 5 units (4 eliminated)
3 is left which is y = -2√(x+3) - 5
A tower has lost contact with a GPS satellite. The satellite is at 4500 meters over the Earth at a location 2000 meters from the tower. At what angle should the tower point and scan to make contact again? Note the height of the tower is not included. Round answers to the nearest whole degree.The angle of elevation from the top of the tower to the satellite is?
Answer:
66°
Step-by-step explanation:
It is given that :
Distance of the satellite from the tower = 2000 m
Height of the satellite above the tower = 4500 m
Therefore the angle of elevation can be found out by :
[tex]$\tan \theta = \frac{4500}{2000}$[/tex]
[tex]$\tan \theta = \frac{9}{4}$[/tex]
[tex]$\tan \theta = 2.25$[/tex]
[tex]$\theta = \tan^{-1}(2.25)$[/tex]
[tex]$= 66 ^\circ$[/tex]
Therefore the tower can make contact with GPS satellite when it pointed at 66° angle.
5/6 of what number
= 35
Answer:
42
Step-by-step explanation:
In order to find the answer to this question, I had to multiply 35 times 6/5.
35x6/5=42
You can check to make sure your answer is right by doing: 42x5/6=35.
You just have to multiply the number that we are using by the reciprocal of the fraction.
For instance: 2/3 of what number is 32
32x3/2= 48
48x2/3=32
The requried number is 42, where 5/6 of 42 is 35.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Let the number be x,
According to the question,
5 / 6 x = 35
x = 35 × 6 / 5
x = 7 × 6
x = 42
Thus, the requried number is 42, where 5/6 of 42 is 35.
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A tour company has a boat that sits at most 40 passengers. For a cruise on the Hudson River they charge $12 per adult and $5 per child. They will only take the boat out if they have sold at least $250 worth of tickets. Let a be the number of adults who take the cruise and c be the number of children.
Answer:the answer is 2
Step-by-step explanation:
A polygon has 6 sides. The exterior angles are 80 degrees, 56 degrees, 61 degrees, 43 degrees, 92 degrees, and (2 x) degrees. What is the value of x? x =
Answer:
14 degrees is right! just wanted to add some credibility(?) idrk. best of luck!
Step-by-step explanation:
The value of x in the polygon that has six sides(hexagon) is 14.
What is a hexagon?An hexagon is a polygon with six sides.
The exterior angles of the hexagon are as follows:
80°, 56°, 61°, 43°, 92°, and (2x)°.
Therefore,
sum of exterior angle = 360°
Hence,
80 + 56 + 61 + 43 + 92 + 2x = 360
332 + 2x = 360
2x = 360 - 332
2x = 28
x = 28 / 2
x = 14
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15. A TV is listed as being 40 inches. This distance is the diagonal across
the screen. We know that the TV is a rectangle (two right triangles). If the
screen measures 24 inches in height and 32 inches in length, is the
diagonal exactly 40 inches? *
Answer:
Its just a tv
Step-by-step explanation:
The area of the octagon is how many meters squared?
Show your work.
what’s the answer?
Hehdbdjnedhbddh
A cylinder has a base diameter of 16 m in a height of 14 m. What is its volume in cubic meters to the nearest tenths place?
Answer:
896pi
Step-by-step explanation:
pi(8)^2(14)
Solve the system using linear combination. Show all work.
5x + 3y = 41
3х - 6y = 9
Find the length of side x in simplest radical form with a rational denominator.
60°
V3
30°
X
Answer:
Answer:
x = (4√3)/3 units
Step-by-step explanation:
Here we have a right 60,30 Triangle with Side 2 units and Htpotenuse x units.
Now, Sin 60° = Opp. /Hyp Sin 60° = 2/x But we know that, Sin 60° = √3/2 So,√3/2 = 2/x Cross multiplying we get,
x√3 = 4x = 4/√3 Rationalizing the denominator, x = (4/√3) × (√3/√3) x = (4√3)/3 units
Hope it helped and believing you understood it........All the
Step-by-step explanation:
In which interval is the median distance
the median of the given frequency distribution is 470. Since \frac{80}{2} = 40 lies in the cumulative frequency of the class interval 24 – 32, so 24 – 32 belongs to the median class interval. Lower limit of median class interval = ℓ = 24. Hence, the median of the given frequency distribution = 26
If you can these questions hElp
I think 7 is B but am not 100% sure
Answer:
7. Can't see the triangle
8. F
9. D
Step-by-step explanation:
8. [tex]15*\frac{1}{4} = 3\frac{3}{4}[/tex] [tex]16*\frac{1}{4} =4[/tex]
9. An obtuse angle is any angle bigger than [tex]90^{o}[/tex] (right angle) but smaller than [tex]180^{o}[/tex] (reflex angle)
Find the solution: Mrs. Simms is planning a garden. IT will be 27 feet long and 18 feet wide. What will be the area of the garden?
Answer:
486 feet squared
Step-by-step explanation:
Which expression is equivalent to 2(4x + 7)?
6x + 7
6x + 9
8x + 7
8x + 14
Answer:
C, or D
Step-by-step explanation:
The answer is C, or D
Answer:
8 x + 14
Step-by-step explanation:
2(4x+7)
2×4x +2×7 =
8x+14
A city manager made a scatter plot of the number or retail store in a certain city over the years. the scatter plot had a trend line with an equation of y=11x + 12, where y is the total number of retail stores and x is the number of years since 1990. Tracy and her family moved to the city in 2003. Use the equation to predict how many retail stores there were in 2003?
Answer:
155
Step-by-step explanation:
The problem sounds complicated, but it's not. Let's analyse.
The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.
We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.
Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).
In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.
y= 11x + 12
=> In Tracy's case: y= 11*13 + 12= 155
So the number of retail stores there were in 2003 was 155
While completing a race, Ned spent 63 minutes walking. If the
ratio of time walking to jogging was 9:1, how many minutes
did he spend completing the race?
Answer:
therefore ned spent 1 hour and 10 minutes completing the race.
hey please help me with this ty
Answer:
3d
Step-by-step explanation:
3 miles per day
if he runs for two days he runs 6 miles 3(2)
etc etc
Greatest common factor of 112 and 63
Answer:
It's 7!
Step-by-step explanation:
0.75 is 0.24% of what number? Express your answer as a decimal.
Answer:
0.18
Step-by-step explanation:
24% × 0.75 =
(24 ÷ 100) × 0.75 =
(24 × 0.75) ÷ 100 =
18 ÷ 100 =
0.18
brainliest please?
BRAINLIEST
a. 18
b. 4.5
c. 3 sqrt of 2
d. sqrt of 14
Answer:
A
Step-by-step explanation:
basically b = square root x times c
b= x
x= 2
c= 2+7 or the full length
Answer:
Step-by-step explanation: