The mean and standard deviation of the sampling distribution of the sample proportion are: (d) 0.55, 0.0497.
What is a sample proportion?In Mathematics and Statistics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
The mean of the sampling distribution of the sample proportion is equal to 0.55. Mathematically, the standard deviation of the sampling distribution of the sample proportion can be calculated by using this formula:
σp = √(p(1 - p)/n)
Substituting the given parameters into the standard deviation formula, we have;
Standard deviation, σp = √(0.55(1 - 0.55)/100)
Standard deviation, σp = √(0.55(0.45)/100)
Standard deviation, σp = 0.002475
Standard deviation, σp = 0.0497
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Complete Question:
In a large population, 55% of the people get a physical examination at least once every two years. An SRS of 100 people are interviewed and the sample proportion is computed.
The mean and standard deviation of the sampling distribution of the sample proportion are:
(a) 55, 4.97.
(b) 0.55, 0.002.
(c) 55, 2.
(d) 0.55, 0.0497.
(e) The standard deviation cannot be determined from the given information.
A cable 13 meters long runs from the top of a utility pole to a point on the ground 5 meters from the base of the pole. How tall is the utility pole?
Answer:
height of the utility pole = 12 meters
Step-by-step explanation:
It is simple application of Pythagoras theorem.
In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.
The applying Pythagoras theorem.
H^2 = P^2 +B^2
⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144
⇒ P = 12 meters
hence, height of the utility pole = 12 meters
Alex and Dave sell donuts. Alex earns $11 more than Dave. Let x represent the number of donuts Dave sells. Let y represent the total amount of donuts Alex sells. Which equation shows this relationship
Answer:
y = x + 11
Step-by-step explanation:
x = Number of donuts Dave sells
y = Total amount of donuts Alex sells
Amount earned by Alex = $11 more than Dave's earning
This means y is greater than x by $11
Total amount of donuts Alex sells = Number of donuts Dave sells + $11
y = x + 11
The wood family consumes 20 bags of milk in 4 weeks.How much milk will the family require for 8 weeks?
Answer:
4
Step-by-step explanation:
If 20 jugs is in 4 weeks, and 8 weeks is 2 times as much as 4. So you would multiply 20x2 because 8 weeks is 2 times as much as 4
Solve by factoring.
m^2+6m+5=0
Answer:
-1 and -5
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
Moreover, the value of m by factoring is -1 and -5
Answer:
[tex]\sf m=-1,-5[/tex]Step-by-step explanation:
[tex]\sf m^2+6m+5=0[/tex]
Factor, m^2+6m+5
Find, the two numbers that add up to 6 and multiply to 5: 1 and 5
Now, Rewrite the expression:
[tex]\sf (m+1)(m+5)[/tex]
[tex]\sf (m+1)(m+5)=0[/tex]
Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.
[tex]\sf m+1=0[/tex]
[tex]\sf m+5=0[/tex]
Now, solve each of the 2 equations:
[tex]\sf m+1=0[/tex]
Subtract 11 from both sides:
[tex]\sf m=-1[/tex][tex]\sf m+5=0[/tex]
Subtract 5 from both sides:
[tex]\sf m=-5[/tex][tex]\sf m=-1,-5[/tex]
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Maria is saving $470 for a new camera. She currently has $256. If she saves $70 per week, how long will it take her to save at least $500 to cover taxes and extras?
Answer:
Number of weeks= 3.63 weeks
Step-by-step explanation:
First, we need to determine the total amount to be saved:
Difference= 500 - 256
Difference= $254
Now, the number of weeks given the following formula:
Number of weeks= amount to be saved / savings per week
Number of weeks= 254 / 70
Number of weeks= 3.63 weeks
An electrical engineer has an annual income of $143,482 and will pay a 6% income tax rate. What is the amount of income tax in dollars and cents that the engineer will have to pay?
Answer:
$8608.92
Step-by-step explanation:
Given data
Annual income= $143,482
Rate= 6%
We want to find 6% of $143,482
=6/100*143482
=0.06*143482
=$8608.92
Hence the income tax is
$8608.92
insaley easy 4th grade homework math question i will mark brainliest
Answer:
first answer 20
Second answer 1/2
For the last on I think it’s 1/4
Step-by-step explanation:
Lol Sorry if I’m wrong
Answer:
1. 5 1/4 or 5.25 or 21/4
2. 1/2
3. Im not sure but i think it's 1 1/2 becouse 1 1/2 divided by 2 = 3/4 or 0.75
Step-by-step explanation:
Noah spent $66 for 20 gallons of gasoline. Lydia spent $81.25 for 25 gallons of gasoline. How much did each person spend for 1 gallon of gasoline?
Answer:
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $3.25 for 1 gallon of gasoline.
Step-by-step explanation:
To find how much each person spent for 1 gallon of gasoline, we divide the amount spent by the number of gallons.
Noah spent $66 for 20 gallons of gasoline.
Amount spent $66, 20 gallons. So
66/20 = $3.3
Noah spent $3.3 for 1 gallon of gasoline.
Lydia spent $81.25 for 25 gallons of gasoline.
Amount spent $81.25, 25 gallons. So
81.25/25 = $3.25
Lydia spent $3.25 for 1 gallon of gasoline.
Probability of rolling a factor of 4 on the first die
Answer:
should be like 1 out of 6 chances
Step-by-step explanation:
A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?
Answer:
4 months
Step-by-step explanation:
we take $300 ÷$75 which is per month
then we get 4 , which is our months
Help me please! I need this done quick!
Answer:
1. 15
2. 26
3. [tex]\sqrt{58[/tex]
4. 8
5. 6[tex]\sqrt{15[/tex]
6. [tex]\sqrt{2[/tex]
7. [tex]\sqrt{377[/tex]
8. 18
9. x = [tex]\sqrt{106[/tex]
y = [tex]\sqrt{34[/tex]
Step-by-step explanation:
IM TIRED DO I HAVE TO EXPLAIN?
Find two consecutive odd numbers whose sum is 44.
Answer:
21 & 23
Hope that helps!
Step-by-step explanation:
3 Yolanda asks a random sample of 50 students at her school what they do after
school. Of the 50 students, 30 say they play a sport. Based on the sample, about
what percent of students at Yolanda's school play a sport after school?
A 15%
B 30%
C 50%
D 60%
what is the domain of f?
HELP PLEASE
Answer:
-7 to 7
Step-by-step explanation:
it is the range of the x values
How do I show my work for this and get the answer? Thanksss
Answer:
the answer for this problem is 135
A cone has a volume of 18 in3. Select all of the possible dimensions for the cone.
Diameter 1 in., height 18 in.
Diameter 6 in., height 6 in.
Diameter 3 in., height 6 in.
Diameter 6 in., height 3 in.
Diameter 3 in., height 24 in.
Answer: with these values I don't find any of cones
Step-by-step explanation: volume is 1/3 x pi x r^2 x h
And radius r = diameter/2. Is you round pi/3 =1 it's easier.
Possible measures: d=2 and h=18
D= 4 and h= 4.5 or d= 6 and h=2
Find x. Please help with this problem!!!!!
Dada la recta r espacio dos puntos espacio fracción numerador x menos 1 entre denominador 1 fin fracción igual fracción numerador y menos 5 entre denominador menos 3 fin fracción, halla una recta s, paralela a r, y una recta t, perpendicular a r, ambas que pasen por el punto A (-3,1).
Answer:
creo que si
Step-by-step explanation:
primero hacemos lo primero
y luego lo segundo
Solve for x. You must show all of your work to receive credit.
V
5x + 17
23x - 5
W
37x + 5
which is proportion can be used to be determine to length of bc
Answer:
4/5=bc/8
Step-by-step explanation:
Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the container in shown. Hollis will need 8 of these layers to completely fill the container. What is the volume of the container in cubic feet?
Answer:
288 ft³
Step-by-step explanation:
Given that
The volume of each box is 1 cubic foot
And, Hollies required 8 of these layers
Now based on the above information
We assume that the dimension of the base layer is 6 by 6
So, the volume of the container is
= Length × Width × Height
where,
Length = 6 ft
Width = 6 ft
And, Height = 8 ft
So,
= 6 ft × 6 ft × 8 ft
= 288 ft³
L Practice & Problem Solving
QU
11.6.PS-15
You want to wrap a gift shaped like the regular triangular prism shown. How many
square inches of wrapping paper do you need to completely cover the prism?
Answer:
xjxjxjzjzjxxjxjxjxjx
There are 150 politicians at a meeting.
They each shake hands with everyone
else. How many handshakes were there?
PLEASE HELP ASAP
Answer:
11175Step-by-step explanation:
Person 1 will shake hands with 149 othersPerson 2 ... 148 (excluding the first person)Person 2 ... 147 (excluding the first two persons)...Person 149 ... 1 (with person 150)Person 150 ... none (already had 149 handshakes)Total handshakes:
1 + 2 + ... 149 = 149(1 + 149)/2 = 11175I WILL GIVE BRAINLIEST AND SEND 50 POINTS IF GOOD no copying from internet
What do you know about the angles of a right triangle?
A all angles might be right angles.
B only one angle is a right angle and the other two are acute
C one or more angles must be right angles
D only one angle is a right angle and the other two are obtuse
Answer:
B
Step-by-step explanation:
Answer:
B only one angle is a right angle and the other two are acute
Step-by-step explanation:
its clear from looking at an angle lol
If the force is 2500N and the acceleration is 500m/s/s, calculate the mass
Answer:
5kg
Step-by-step explanation:
Here the given force is 2500N and
acceleration is 500m/s²
Now,
F = ma
m = F/a = 2500/500 = 5kg
Thus, The mass is 5kg
-TheUnknownScientist
What is 127% of 40????
Answer:
50.8
Step-by-step explanation:
What is the length of point AC
the length of point AC is 13.67cm
The graph of f(x) = x2 is shown
Use the parabola tool to graph g(x)
g(x) = (x + 1)2 – 2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola
Answer:
(1,2) is your vertex and (2,3) is your second point
Step-by-step explanation:
Answer:
(0,-1) and (-1,-2)
Step-by-step explanation:
i got it right on the quiz
What is the correct answer to this
Answer:
Perimeter = 9700 cm
Step-by-step explanation:
Dimensions of sides are;
12, 2x, 12, 5, 5, circumference of semi circle
Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14
We see that x is the diameter. Thus, x = 14
Thus; base of trapezium that is 2x = 2 × 14 = 28
Also, circumference of semi circle = 2πr = 2π × 7 = 44
Thus;
Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44
Perimeter = 97 m
Converting to cm, we multiply by 100 to get;
Perimeter = 97 × 100 cm
Perimeter = 9700 cm
can someone help me this is a life or death question
Answer:
3 is vertical angles
1 is same side interior
2 is corresponding angles
4 is straight angles
Step-by-step explanation: