Answer:
a) p = 28/100 p = 0,28 or p = 28%
b) SE = 0,0448
c) CI 95 % = ( 0.1921 ; 0.368 )
We can support with 95 % of confidence that the proportion of people with a College degree would be found within these limits
Step-by-step explanation:
a) Sample proportion: Is the number of positive success divide by sample size
That is from 100 ( individuals) ( sample size ) it was found that 28 had College degree ( positive success)
Then p = 28/100 p = 0,28 or p = 28%
b) The standard error is
SE = (√p*q)/n
p = 0,28 then q = 1 - 0,28 q = 0,72
SE = √ (0.28)*(0.72)/100
SE = √0.002016
SE = 0,0448
c) CI = 95 % then significance level is α = 5 % α = 0.05
α/2 = 0.025
From z- table we find z(c) = 1.96
Then CI 95 % = p₀ ± z(c) * SE
CI 95 % = 0.28 ± 1.96*0.0448
CI 95 % = ( 0.28 ± 0.088 )
CI 95 % = ( 0.1921 ; 0.368 )
d) We can support with 95 % of confidence that the proportion of people with college degree would be found within these limits
Help
Find the volume of this sphere.
Use 3 for pi
Answer:
V = 1372cm3
Step-by-step explanation:
See the image above
Một ô tô đi trong 3¾ giờ đầu với vận tốc 45km/ giờ .Trong 2 giờ tiếp theo đi được 84,7 km. Hỏi ô tô đã đi được tất cả bao nhiêu km?
Answer:
Total distance cover by car = 253.45 km (Approx.)
Step-by-step explanation:
Given:
Speed of car = 45 km/h for 3¾ hour
Distance cover in next 2 hour = 84.7 km
Find:
Total distance cover by car
Computation:
Distance = Speed x time
Distance cover by car = 45 x 3¾
Distance cover by car = 168.75 km
Total distance cover by car = Distance cover by car + Distance cover in next 2 hour
Total distance cover by car = 168.75 + 84.7
Total distance cover by car = 253.45 km (Approx.)
Solve for x.
•none of these
•21.8
•68.2
•66.42
Please helppp
Answer:
21.8
Step-by-step explanation:
5m is adjacent and 3m is opposite so you use the formula
tan theta=opposite/adjacent
A house has a square room with an area of 125 f12.
What is the length of the side of the square room to the nearest tenth?help pls
Answer:
11.2 f12
Step-by-step explanation:
Find the square root of 125.
Hope this helps!
-kiniwih426
What is the volume of this. Pyramid
720 cm2
1080cm2
1440 cm2
2160 cm2
Answer:
Option (1)
Step-by-step explanation:
To calculate the volume of the given pyramid,
Formula to be used,
Volume = [tex]\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})[/tex]
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(9)(15)[/tex]
= 67.5 cm²
Now volume of the pyramid = [tex]\frac{1}{3}(67.5)(32)[/tex]
= 720 cm³
Therefore, Option (1) will be the correct option.
Find the circumference of each circle from the given radius or diameter
1 1/4 hour =
minutes. .
Answer:
165 minutesStep-by-step explanation:
We know,
1 hour = 60 minutes
Therefore,
[tex] \frac{11}{4} hour =( 60 \times \frac{11}{4} )minutes[/tex]
= 165 minutes (Ans)
Can anyone help me with this please? I need help along with an explanation.
Answer:
Step-by-step explanation:
what is the answer? can someone help
Answer: Choice B
Explanation: The rule you use is [tex]\sqrt{m*n} = \sqrt{m}*\sqrt{n}[/tex]
Answer:
Step-by-step explanation:
A: is not the answer. The answer is √144 which is 12
B: is correct. You can do it this way, by breaking the 9 and 16 apart.
C: I don't know exactly what the logic of 36 is, but it is not the right answer.
D: I can't explain why the choice would be division. It is multiplication of some sort. D is incorrect.
Find the mid point of the line segment AB where A= (-5,5) and B= (-7,4)*
Check out the screenshot.
Please someone help me
Answer:
A
Step-by-step explanation:
Because not drawing the circle graph of the burger could lead you to draw the wrong conclusion
Answer:
A
Step-by-step explanation:
If your not drawing the circle graph of the burger could lead you to draw the wrong conclusionPlease help thank you! Sorry for spamming
Answer:
B
Step-by-step explanation:
because of order if operations.
Answer:
B
Step-by-step explanation:
The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.
If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.
Please help this is due today!!
Answer:
F(x) plus or minus would shift up or down...
1/3 f(x) "shrinks everything down by 1/3
the first answer is the correct choice
Step-by-step explanation:
Can I get help with these questions 17,18,20,22,23,27,30 &31
Only reply if you are seriously going to help me please
No spam I would really appreciate it
Answer:
17) just take the root of 100. the text says its square(d).
10m
And checking it gives 10m * 10m = 100m²
18) you need to learn some square numbers to ace this topic. it isn't that complicated, just multiply natural numbers with themselves
like
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
Now we can see that a) sqrt(55) lies between 7 and 8, and that its value is somewhere in between
7 < a < 8
(ignoring the negative solution to the root oc)
try b, c and d yourself. if you struggle, leave a comment.
I got a problem finding exercises 19 to 21, seriously....
22) well...
a * b = 18ft²
6ft * 3ft seems just right. pure guesswork here, seems to be to easy with these numbers.
but we can also write it as a system of two functions
a * b = 18ft²
a = 2b
and then solve it by substituting a in line one with 2b, since a is 2b this is allowed.
2b * b = 18
2 b² = 18
b² = 9
b = 3
(we ignore -3 as a solution bc negative length makes no sense)
plugging that b into line two of the system gives
a = 2 * 3
a = 6
27) rationale can we written as a ratio (a fration)
it almost sounds too simply
rationals are either the root of square numbers, bc they can be solved cleanly, or they got a repeating pattern after the point.
b and c apply to these rules, a and d not
30) lol, I just figured out where the missing exercises are hidden XD
31) just add up the three rectangles (easy part) with the two triangles top and bottom each triangle is just 12m * 16m / 2 (bc it's a triangle, not a rectangle). since you got two triangles you just multiply by two (it's like ignoring the decision. also, the two triangles together would indeed make just a n9ce rectangle).
if you really need the values, leave a comment, but that will not help you in any test.
you can also post your solutions and I'll check them.
32) area of the circle times two
plus area of a rectangle wrapped around the cylinder.
circle are is pi*r² -> pi * (28 in)²
(remember to double for two circles)
rectangle is the circumference of the circle (pi * 28in) times the height of the cylinder
like in 31), feel free two post your results or ask for values if you really struggle to grasp the pattern here.
hope you have a great day and that you understand some more of the topic. you can ace it :)
ctividad 1:
Las edades de un grupo de niños son: 5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Determina las Medidas de Centralización (Media, Mediana y Moda) y las medidas de Dispersión (Desviación media y Desviación estándar).
necesito ayuda
Respuesta:
Media = 6
Mediana = 6
Modo = 6
Desviación media = 1
Desviación estándar = 1.317
Explicación paso a paso:
Dados los datos:
5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8
La media: Σx / n = 96/16 = 6
El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)
La mediana = 1/2 (n + 1) ésimo término
Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6
La desviación media = Σ (x - media) / n
Usando la calculadora, la desviación media = 1
La desviación estándar = √ (Σ (x - media) ² / n-1)
Desviación estándar = 1.317
[tex]\frac{1}{3}x^{2} +5x+\frac{4}{3}=2x-\frac{1}{3} x^{2}[/tex]
Mike has 25 cards and Ali has 55. How many cards must Mike give Ali so that Ali will have 4 times as many cards as Mike?
Answer:
9 cards
Step-by-step explanation:
Mike will have to give Ali 9 cards
Mike 25 -9 = 16
Ali 55 + 9 = 64
you can see that Ali 4 times as many cards as mike
64 : 16
4 : 1
Plz, help ASAP!! NO FILES!
Answer:
y = x - 5
Explanation:
Where ever the line touches on the y-axis is the y-intercept. In this case it is -5.
the slope is 1 because the y and the x is going up by one
Classify each triangle with the set of side lengths given as acute, right, or obtuse.
Answer:
right angle
Step-by-step explanation:
each triangle is a different ome
If m>BFC = 8x+13 and m
Answer:
12x - 73
Step-by-step explanation:
DFE + CFD = 12x + 7
DFE + 90 = 12x + 7
DFE = 12x + 7 - 90
DFE = 12x - 83
therefore
DFE = AFB ( vertically opposite angles are equal)
AFB = 12x - 83
The measure of EC bisects
Answer:
The value of x = 20
Step-by-step explanation:
Given:
∠BOC = 3x - 15
∠COD = 2x + 5
Find:
The value of x
Computation:
⇔ ∠BOC + ∠COD = 90
⇔ 3x - 15 + 2x + 5 = 90
⇔ 5x - 10 = 900
⇔ 5x = 90 + 10
⇔ 5x = 100
⇔ x = 100 / 5
⇔ x = 20
The value of x = 20
Find the value of X and TQ
ok I don't know go to school or sum
Surveys, observational studies, and experiments are examples of
Answer: B data gathering
Step-by-step explanation:
all of those examples are examples of gathering data
what is the measurement of SRT
A: 101 degrees
B: 79 degrees
C: 99 degrees
D: 69 degrees
Answer:
79°
Step-by-step explanation:
Remember, the sum of all the angles in a triangle is 180
So 180-RST-RTS=180-53-48=79
Toula has just baked a cake in the shape of a rectangle. She
wants to divide the cake into two right-angled triangles by
cutting along a diagonal of the cake. Toula is then going to place
a cake ribbon around the outside of each of the two triangular
pieces of cake. If the length of the cake is 32 cm and its width is
24 cm, how much cake ribbon will she need to buy, giving your
answer to an appropriate accuracy.
Please help me with this thanks
Answer:
I believe it is 60 degrees
Step-by-step explanation:
90 degrees plus 30 is 120 then plus x will be 180 so 180 - 120 is 60
PLEASE HELPP
1/4, 1/2, 1, 2 converging or diverging
Answer:
diverging
Step-by-step explanation:
A regular way to know if a series is converging or diverging, is to check is as the number of terms increase, the value of such terms also increase.
So, if for example, we have:
[tex]A_n > A_{n-1}[/tex]
We know that the series will not converge, because eventually the terms will be very large, and the series will diverge.
In this case we have the series:
1/4, 1/2, 1, 2
So each term is two times the previous one, thus, the n-th term will be larger than the n-th minus one term, so we can conclude that this series diverges.
what is (2x2 + 4x − 3)(x2 + 2) distributived ?
Answer:
2x⁴ + 4x³ + x² + 8x - 6
Step-by-step explanation:
(2x² + 4x - 3)(x² + 2)
2(x² + 2) · x² + 4x(x² + 2) - 3(x² + 2)
2x⁴ + 4x² + 4x(x² + 2) - 3(x² + 2)
2x⁴ + 4x² + 4x³ + 8x - 3x² - 6
2x⁴ + x² + 4x³ + 8x - 6
2x⁴ + 4x³ + x² + 8x - 6
Please Help !!
The picture of the question is attached.
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
Question 14 of 42
What is the slope of the line represented by the equation y- 6 = 5(x - 2)?
A. 6
B. -5
C. 2
D. 5
Point-Slope form:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
The slope is represented as m-term. Hence the slope is 5.
Answer
The slope is 5.