Using the z-distribution, we have that:
a) The parameter of interest is the proportion of kids who want to be a doctor.b) Since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.c) The critical value is [tex]z = 2.327[/tex]. The interval is (0.0339, 0.066).d) We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.Confidence interval of a proportionIn a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].Item a:
We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.
Item b:
Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.
Item c:
Fifty-five of the 1000 kids want to be a doctor, hence [tex]n = 1000, \pi = \frac{55}{1000} = 0.055[/tex].98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is [tex]z = 2.327[/tex].The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]
The interval is (0.0339, 0.066).
Item d:
We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.
You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070
will give brainliest! question in pic! help asapp!
Answer: D
Step-by-step explanation:
Answer:
[tex]6x^{2}+10x-12[/tex]
Step-by-step explanation:
Brainliest for the correct answers
Answer:
a) 3a + 8b = 93
Hope this helps!
Can some one plz help me
Answer:
A is the answer
Step-by-step explanation:
6 times 3.14 is 18.84
Given,
Diameter of circle = 6 in.
As we know that radius is half of diameter.
Radius = 6 × 1/2 = 3 inches
Now,
[tex] \sf Circumference \: of \: circle = 2 \pi \: r[/tex]
[tex] = \: 2 \times \dfrac{22}{7} \times 3[/tex]
[tex] = \dfrac{44}{7} \times 3[/tex]
[tex] = \dfrac{132}{7} [/tex]
[tex] = 18.84\: in.[/tex]
Hence,option ( a ) is correct.
find the area of the composite figure 12 yd height 10 yd base
Answer:
120 yd^2
Step-by-step explanation:
1. 12x10= 120
2. 120 yd ^2
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
Pls help me I need this done . Look at picture . What is the measure of..
The anwer is 62 degrees
Step-by-step explanation:
angle x and the angle with a measure of 62 degrees are alternate exterior angles therefore they are congruent
what is 1257÷45 I really need help
Exact Form:
419/15
Decimal Form:
27.93...
Mixed Number Form:
27 14/15
Hope this helps(:
Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram. Which is closest to the length of the walkway?
Answer:
your answer will be Option B. 28.3 ft
Step-by-step explanation:
[tex] \sqrt{15 ^{2} } + 24 ^{2} = 28.3[/tex] or
hope it helps you...
have a great day!!
The 28.3 ft is closest to the length of the walkway. the answer will be Option B. 28.3 ft
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
It is given that Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram.
We need to find the length of the walkway.
Using Pythagoras Theorem;
[tex]15^2 + 24^2 = x^{2} \\\\x^{2} = 225 + 576\\\\x^{2} = 801\\\\x = \sqrt{801} \\\\x = 28.30[/tex]
Therefore, 28.3 ft is closest to the length of the walkway. answer will be Option B. 28.3 ft
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
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1
Identify the shape and find the area. (Round your answer to the tenths place if needed)
10
Shape
Perimeter = 17
Apothem = 4.2
Area =
NEXT
Answer:
Pentagon and I think the area is 19.89 so if you round it, that will be 19.9
Please help fast! will mark brainliest and give a lot of points
put the following expressions into words-no solving.
3/4x(6+4)
1/2x(5-3 1/2)
Put the following into expressions-no solving
One-third the sum of 6 and 3
Four times the quotient of 3 and 4
One fourth the difference between 3 1/2 and 1/2
Answer:
Please help fast! will mark brainliest and give a lot of points
In Holborn School there are
460 students in Key Stage 3
320 students in Key Stage 4
165 students in Key Stage 5
Nimer is carrying out a survey.
He needs a sample of 100 students stratified by Key Stage.
Work out the number of students from Key Stage 3 there should be in the sample.
(2 marks)
students
Submit Answer
Skip for Now
Answer:
Total students = 460+320+165=945
Key stage 3 ... asafraction = 460 divide by 945
the number in a sample of 100 = 460 divide by 945 x 100= 48.67
So 48 or 49 (are both, acceptable answers).
A line has slope = 0 and goes through the point (1, 6). What is the equation of the line in slope-intercept form?
a) y = 1
b) y = 6
c) x = 1
d) x = 6
Answer:
y = 6.
Step- by-step explanation:
A slope of 0 means that the line is horizontal and would be of the form y = k.
As is pass through the points where y = 6 ( 1, 6) :- it is y = 6.
Graph the equation y = 4x − 5 using slope and y−intercept.
on a graph
what problem can be solved using 3/5 divided by 5/8
Answer: 24/25
Step-by-step explanation:
= 3/5 ÷ 5/8
= 3/5 × 8/5
= 24/25
how do you write the equation of a line in slope intercept form looking at a table?
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept
1) Determine the slope (m)
To find the slope, take two points from the table, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] and plug them into the following equation to solve for m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug m into [tex]y=mx+b[/tex] .
2) Determine the y-intercept (b)
Take any point given in the table and plug them into [tex]y=mx+b[/tex] (along with the slope that you solved for earlier) as [tex](x,y)[/tex]. Solve for b. Plug b back into [tex]y=mx+b[/tex] along with the slope.
I hope this helps!
A bag contains 3 white balls, 4 green balls, and 5 red balls. A ball is drawn at random. How many total number of outcomes are there?
Answer:
12
Step-by-step explanation:
5+4+3 = 12
Answer:
12 is the total outcome.......
Step-by-step explanation:
3+4+5=12 is the ans.....
hope this will help u.....
I have 8 pennies and some quarters, nickels, and dimes. The number of pennies plus nickels equals the number of dimes. I have 3 quarters for every 2 pennies and 3 dimes for every 2 quarters. How many coins are nickels? A. 28 B. 18 C. 15 D. 10
The answer is D. 10 nickels
Answer:
The answer is D.) 10
Step-by-step explanation:
I took a quiz and according to that its correct
a
2.1 cm
2.9 cm
Find the value of a.
Step-by-step explanation:
[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]
The perimeter of triangle ABC is 36 cm. Its sides are proportional to the numbers 3, 4 and 5. Find the sides of the triangle.
Answer:
3x+4x+5x=36
12x=36
x=36/12
x=3
3x=3 into 3=9
4x=4 into 3=12
5x=5 into 3=15
Could 85, 13 and 84 be the side length of a right triangle?
Answer:
No because the side lengths won't equal the hypotenuse
Step-by-step explanation:
85^2 + 13^2 ≠ 84^2
If a scale uses 2 cm to represent 6 ft., how many centimeters will be used to represent 21 ft.?
Answer: 7 cm
Step-by-step explanation:
2=6
4=12
6=18
8=24
7=21
What does S in Math means?
Step-by-step explanation:
subtract
i think this
3. Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount
in taxes to the government. How much did Ms. Basalyga pay in taxes?
Answer:
. Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount
in taxes to the government. How much did Ms. Basalyga pay in taxes?
13.5/100×2000=270
Answer: Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount in taxes to the government. How much did Ms. Basalyga pay in taxes?
:13.5/100×2000=270
Step-by-step explanation
May someone please help me with this :)
Answer:
14.3 yd
Step-by-step explanation:
apply the pythagorean Theorem formula:
= sqrt(14^2 +3^2)
= sqrt(205)
roughly 14.3 yd
Calculate the simple interest collected by the bank if $1,500 is loaned for 3 years at 8% per annum
Answer:
$1500 divided by3=500
500+8=508
Answer:
$360
Step-by-step explanation:
I=PTR =1500X3X8 = 36,000= $360
100 100 100
help with my khan academy assignment please
Solve by elimination
-2x+5y=-1
3x+2y=11
Answer:
x=3, y=1
Point Form is
(3,1)
Step-by-step explanation:
Please Help! Evaluate this expression 10.82-9.99
A. 0.53
B. 0.83
C. 1.01
D. 1.23
-18x+2x-15x+23x-12x-4x
Combine like terms
Answer:
-24x
Step-by-step explanation:
Combining them all leads you to get -24x.
Melissa has a total of $250 in her savigns account. She started with $110 and then earned the rest of her savings by babysitting. Melissa charges $7 per hour. Write an equation to represent the situation and determine the number of hours (h) she babysat last week.
Answer:
Number of hours= 20 hours
Step-by-step explanation:
Giving the following information:
Net savings (babysitting)= 250 - 110= $140
Rate per hour= $7
To calculate the number of hours that Melissa worked as a babysitter, we need to use the following formula:
Number of hours= net savings / rate per hour
Number of hours= 140 / 7
Number of hours= 20 hours