Answer:
The confidence interval is [tex]0.2857< p < 0.4601[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 118
The number that gave the correct answer is k = 44
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{44}{118}[/tex]
=> [tex]\^ p =0.3729[/tex]
Generally given that the confidence level is 95% the level of significance is mathematically represented as
[tex]\alpha = (100 -95) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{p(1 - p)}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{\frac{0.3729(1 - 0.3729)}{118} }[/tex]
=> [tex]E = 0.0872 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.3729 -0.0872< p < 0.3729 +0.0872[/tex]
=> [tex]0.2857< p < 0.4601[/tex]
What is the area of a rectangle with width 5x and length x2 + 4x + 4?
Answer:
It's 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
A satellite 200 miles above the earth is orbiting the earth once every 6 hours. How far does the satellite travel in 1 hour?
(Assume the radius of the earth is 4,000 miles.) Give your answer as both an exact value and an approximation to three significant digits
Answer:
The answer is below
Step-by-step explanation:
Speed is the ratio of total distance travelled to total time taken to cover distance.
The radius of the orbit = radius of earth + height of satellite from earth = 4000 miles + 200 miles = 4200 miles
The total distance around the orbit = perimeter of orbit = 2π(radius of orbit) = 2π(4200) = 8400π miles
[tex]Speed=\frac{distance \ traveled}{time\ taken} =\frac{8400\pi\ miles}{6\ hours} =1400\pi\ miles/hour\\\\Distance \ traveled\ in \ 1\ hour=1400\pi\ miles/hour*1\ hour=1400\pi\ miles=4398.23\ miles\\\\Distance=4398\ miles[/tex]
Find the distance between Rockville and San Jose if they are in apart on a map with a scale of 2in:
25 mi
Answer with step-by-step explanation:
The distance between Rockville and San Jose is 2407.2. Since there are 63360 inches in a mile, we divide it by 2, which is 31680. We multiply 2407.2 by 31680, and get 76260096.
Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon, 1 (Choice B) B 9:39:39, colon, 3 (Choice C) C 6:36:36, colon, 3 (Choice D) D 9:69:69, colon, 6 (Choice E) E 12:312:3
Answer:
A. [tex]Ratio = 3:1[/tex]
B. [tex]Ratio= 9:3[/tex]
Step-by-step explanation:
Given
[tex]Ratio= 27:9[/tex]
Required
Determine equivalent ratios:
[tex]Ratio= 27:9[/tex]
First, we simplify the ratio to the least possible
[tex]Ratio = 27/9:9/9[/tex]
[tex]Ratio = 3:1[/tex]
By comparison with the given options, we have A and B as answer.
See Proof Below
Proof: A
Compare this to the simplified ratio (given), we have:
[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]
Proof B
[tex]Ratio= 9:3[/tex]
Simplify the ratio to the least possible
[tex]Ratio= 9/3:3/3[/tex]
[tex]Ratio= 3:1[/tex]
Compare this to the simplified ratio (given), we have:
[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]
Answer:
9:3 and 3:1
Step-by-step explanation:
I just did this lesson
There are 5 chairs to every 2 tables in class. Which ratio is equivalent to 5:22
35:14
15:12
10:6
40:18
Answer:if your meaning 5:2 the answer would be 35:14
Step-by-step explanation:
You simply would have the find the equal to it so by multiplying both by 7 would make it equal. 7 × 5 is 35 and 7 × 2 is 14
Create an equation with at least two grouping symbols for which
there is no solution
Sophia's building a skateboard ramp how many 2/5 ft long pieces can she cut from a 4 ft piece of wood what is the division expression
A. 1/4 divided by 2/5
B. 2/5 / 1/4
C. 2/5 / 4
D. 4 / 2/5
Answer:
D. 4/(2/5)
Step-by-step explanation:
For example, if the wood was 8ft long, and was cut into 4 foot long segments, you would divide 8 by 4 to get 2, which is the logical answer. Use the same thinking here. In other words, divide the large piece into smaller pieces.
For this one, divide 4 (large) by 2/5 (small).
If simplification is needed you can make 10 pieces.
What makes rational algebraic expression undefined?
a. When the numerator becomes 0
b. When the denominator becomes 0
c. When the value of the given variable is equal to O
d. When the restricted value is equal to 0
Answer:
The answer is B.
Answer:
when denominator becomes zero 0
-A clock's battery is running low. Every 6 hours, its slows down by 1/2 hour. By how much did it slow
down in 1 hour?
Hi!
If its running low and every six hours it slows down half an hour, we need to divide 6 from 1/2 (or in another form if you have a regular calculator, 0.5).
6 divided by 1/2 is 12 (or , in decimal form).
So your answer would be: It will slow down 12 minutes every hour.
Hope this helps!
Point A is located at negative 6 over 8 and point B is located at negative 1 over 8. What is the distance between points A and B? negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals negative 7 over 8 units negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals 7 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals 5 over 8 units
Given:
Point A is located at [tex]-\dfrac{6}{8}[/tex].
Point B is located at [tex]-\dfrac{1}{8}[/tex].
To find:
The distance between points A and B.
Solution:
We know that,
Distance between points A and B = Location of A - Location of B
Using this given values, we get
Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]
[tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]
[tex]=\dfrac{-6+1}{8}[/tex]
[tex]=-\dfrac{5}{8}[/tex]
Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].
[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]
The distance between A and B is [tex]\dfrac{5}{8}[/tex].
Therefore, the correct option is D.
3. Suppose a country consists of 35 states, each of which is assigned a certain number of electoral votes. How many vote orders would we need to consider in order to calculate the Shapley-Shubik index for each state?
A) 2^35
B) 2^35–1
C) 35!
D) 35! –1
Answer:
The answer to this would be 2^35-1
Step-by-step explanation:
Two people start walking at the same time in the same direction. One person walks at 8 mph and the other
person walks at 3 mph. In how many hours will they be 1.25 miles apart?
Answer:
0.25hoursStep-by-step explanation:
Data
speed v1=8mph
speed v2=3mph
distance= 1.25
time t=?
speed= distance/time
distance=speed*time
1.25=8*t-3*t
1.25=8t-3t
1.25=5t
t=1.25/5
t=0.25hours
In minutes it is 15min
Determine if the sequence 2, 8, 17, 29, ... is arithmetic. If it is, determine the first term a and the common difference d.Is the sequence 2, 8, 17, 29, ... arithmetic?
Answer:
Yes
Step-by-step explanation:
Starting with 2, the step to the next number is 6. Each step increases by 3.
When you are on 8, the next step is an increase of 9. The next step is an increase of 12, The next step not shown would increase by 15 for give you 44.
So the first step would be 3 below the number 6 which would be subtracted from 2 to give you - 1 as your first starting point.
The common difference is 3(n) where n is an integer starting with 0 and incrementing by 1 with each new Y2 and Y1 is -1.
The equation Y2 = 3(n+1) + Y1 where n=0
Robinson's Doughnut Factory produces 21,600 doughnuts every day. They
have a fleet of 9 delivery trucks. If the doughnuts are divided evenly, how
many doughnuts will be loaded onto each truck?
Answer:
2400 doughnuts
Step-by-step explanation:
Given that,
Robinson's Doughnut Factory produces 21,600 doughnuts every day.
No. of delivery trucks = 9
We need to find the no of doughnuts will be loaded onto each truck. Let there are n doughnuts. It can be calculated by dividing 21,600 by 9.
So,
[tex]n=\dfrac{21600}{9}\\\\n=2400[/tex]
So, there are 2400 doughnuts that will be loaded onto each truck.
I need help with question 11 pleaseeeeeee
Answer:
828 cubic units
Step-by-step explanation:
What is the real part of the complex number when 4 plus 5i is multiplied with 2 minus i?
3 + 6i
13 + 6i
13
3
6
6i
Answer:
What I do not understand what you are asking, can you repeat it pls.
Step-by-step explanation:
Solve for the indicated angle.
126°
?
A) 130°
C) 1240
B) 540
D) 51°
а
Ob
Oc
Od
Choice A
Choice B
Choice
Choice D
Question zo
Question 20
Answer:
(B) 54°
the angle you're searching is equal to the angel above 126° ( corresponding angle)
180° - 126° = 54°
Answer:
B
Step-by-step explanation:
Subtract 126 from 180 which gives 54
Write the equation of the line that passes through the points (-9, -3) and (-7, 7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line. क Answer: Submit Answer attempt out of 2 Type here to search O in G
Answer:
5x-y +42=0
Step-by-step explanation:
Using m=Y2- Y1
X2- X1
the slope of the line is found .
Put your answer in Y - Y1 = m( X - X1)
to get the equation
what is the midpoint of the line segment (-6,3) (-10,7)
Answer:
(-8,5)
Step-by-step explanation:
its what comes in between the two
–8(n + 7) >-96??????????????
Answer:
D) n<5
Step-by-step explanation:
Solve for the variable : 5y+6=3(y+4)
Answer:
y = 5
Step-by-step explanation:
Answer:
Y=3
Step-by-step explanation:
You would want to multiply y and 4 by 3.
5y+6=3(y+4)
×3 ×3
5y+6=3y+12
Now you want to have y by itself. You can first subtract 6 for starters.
5y+6=3y+12
-6 -6
5y=3y+6
5y=3y+6
-3y -3y
2y=6
Now you would want to divide.
2y=6
÷2 ÷2
y=3
You're answer would be y=3.
-18+-6 please help
Answer:
-24
Step-by-step explanation:
If you are struggling with this here's a tip!
-18+-6 is what you are trying to solve
The 6 is negative, so get rid of the plus sign -18-6
2 negative numbers are just added like positive numbers
So add 18 and 6, you should get 24
Don't forget about the negative!
-24
if angle 4 equals 50 degrees find the measure of angle 5 will mark brainiest
Answer:
∠5 = 50°Step-by-step explanation:
its alternate internal angles:
∠4 ≅ ∠5 (angle 4 is congruent or equal to alternate internal angle)
therefore,
∠5 = 50°
The measure of angle 5 should be considered as the 50 degrees when angle 4 should be equivalent to 50 degrees.
What is alternate internal angles?Alternate interior angles should be created via intersecting the 2 parallel lines in a transversal way. It should be located that lies between the two parallel lines.
Since the given diagram shows the alternate internal angles
Since angle 4 is 50
So angle 4 should be congruent or equivalent to alternate internal angle)
So angle 5 should be 50 degrees.
learn more about an angle here: https://brainly.com/question/21103473
Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week
Answer choices:
A) f(t) = 70 x 0.9957^t
B) f(t) = 70 x 1.43^t
C) f(t) = 0.43 x 0.3^t
D) f(t) = 70 x 1.0043^t
Suppose that 28 crayons, of which four are red, are divided randomly among Jack,Marty, Sharon, and Martha (seven each). If Sharon has exactly one red crayon, what is the probability that Marty has the remaining three?
Answer:
0.0263
Step-by-step explanation:
The Complex Conjugate of 2 + 5i is equal to: _______+_________i
Answer:
2 - 5i
Step-by-step explanation:
For any complex number like say "z" written in rectangular form as;
z = a + ib, then from definitions the complex conjugate is given by the relation:
z* = a − ib
Now, from our question, we want to find the complex conjugate of 2 + 5i.
From the relationship above, it's clear that the complex conjugate here is;
2 - 5i
What would x be in px + 3 = k
Answer:
Step-by-step explanation:
k=3
5/8 divided by 1/4 I would like to see how smart you all are?
Answer:
2.5
Step-by-step explanation:
good luck :)
write a verbal expression for x+y
Answer:
x plus y
Step-by-step explanation:
self explainatory
Is 3 cups to 2 cups proportional