Answer:
Need more points lang sorry
What do you want to be when you grow up? According to a nationwide survey of a random sample of 1000 kids under the age of 12 some kids want to be a ninja, a dragon keeper, a dancing unicom, and even an octopus. Fifty-five of the 1000 kids want to be a doctor. We would like to use this study to find a 98% confidence interval for the true proportion of kids who want to be a doctor.
a. Identify the parameter of interest.
b. Check if the conditions for constructing a confidence interval for p are met.
C. Find the critical value for a 98% confidence interval. Then calculate the interval
d. Interpret the interval in context
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
The dimensions of a
rectangular piece of paper
are 10.5 inches and 10
inches. Ben folded the piece
of paper along its diagonal.
Find the length of the
diagonal in inches.
Answer: 12
Step-by-step explanation: you need to look at the paper
Mary had $156.00 and spent 1/6 of it for a coat. She then bought a skirt with 1/4 the money she had left. How much money did she have left after buying her coat and skirt? Group of answer choices
Answer: $ 97.5
Step-by-step explanation:
156 * 1/6 = 26
156-26=130
130 * 1/4- 32.5
130-32.4= 97.5
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
Find the value of x and justify your answer
Answer:
a.
2x+4x+3x=180 sum of interior angle of the triangle is 180
9x=180
x=180/9=20
b.
x-20+x+10+x-20=180sum of interior angle of the triangle is 180
3x-30=180
3x=180+30
x=210/3=70
c.x+10+x+20+x=180 linear pair
3x+30=180
3x=180-30
x=150/3=50
Answer:
The picture is kinda blurry so I hope I've got it right.
a) x = 20°
b) x = 70°
c) x = 50°
Step-by-step explanation:
a) 2x + 3x + 4x = 180°
9x = 180°
x = 50°
b) (x - 20°) + (x - 20°) + (x + 10°) = 180°
3x - 30° = 180°
3x = 210°
x = 70°
c) (x + 10°) + (x + 20°) + x = 180°
3x + 30° = 180°
3x = 150°
x = 50°
What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom
Question 2 options:
68
92
54
75
Step-by-step explanation:
60x60+32x32=4624
✓4624
68
6. If f(x) = -2x2 + x - 5, what is f(3)?
Answer:
If you use the formula it should help for your answer.
Step-by-step explanation:
Sally invests £8000 in a savings account.
The account pays 2.8% compound interest per year.
Work out the value of her investment after 4 years.
Give your answer to the nearest penny.
Answer:
£8934.34
Step-by-step explanation:
[tex]8000 * 1.028^4 = 8934.34[/tex]
rounding to 2dp
if trunctuated at 2dp however, 8934.33
the number is multiplied by 1.028 to the power of four as you go through the equation four times, so it would be the same as
x * n * n * n * n, where it would simplify to x * n^4
Find the axis of symmetry. Question in pic. PLEASE HELP
Answer:
axis of symmetry is x = 1; vertex is (1,8)
1 + 1 = ? help now please asap!
Question:
1 + 1 = ? help now please asap!
Answer:
1 + 1 = 2
hope this helps :)
If I have $358 and every week I get $100 but I donate 17% of that $100 to charity how much money do I have in 3 weeks?
Answer: 590
Step-by-step explanation: 17$ is 17% and times that by 3 because of the 3 weeks, then you have 68$ and I just added 300 to the rest and then just subtracted 68$
What can I say exept your not welcome :D
A dessert recipe calls for 2 1/2 cups of milk and makes 5 servings. How many cups of ilk are needed for 8 servings?
Answer:
4 cups
Step-by-step explanation:
Number of cups of milk for 5 servings = [tex]2\frac{1}{2} =\frac{5}{2}[/tex] cups
First find number of cups of milk for 1 serving.
Number of cups of milk for 1 serving = [tex]\frac{\frac{5}{2} }{5}=\frac{1}{2}[/tex] cup
Now find umber of cups of milk for 8 servings.
Therefore,
Number of cups of milk for 8 servings = [tex]8(\frac{1}{2})=4[/tex] cups
15.00 + 1.75x = 7.50 + 2.25
what is y- intercept of y=-3x+5?
Answer:
y=−1/3 y+5/3
Step-by-step explanation:
PLS BRAINLIEST
ill tell you all the 4 math algebra calculators if you do
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.
Answer:
one jar of pickles is $1.50, 49-47.50 =1.50
Step-by-step explanation:
Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?
Answer:
morning = -13°C
afternoon = 4°C
so,
x = (morning - afternoon)
I hope this helps a little bit.
Josie watches a play at the theatre.
The play ends at 9:55 pm.
It takes Josie 15 minutes to get from her seat in the theatre to the bus stop.
Buses to Josie's home leave the bus top at the following times
18:25
19:25
20:25
21:05
21:25
22:05
22:25
a)
Write down the time of the earliest bus that Josie can catch.
b) How long will Josie have to wait at the bus stop for, if she catches the
earliest possible bus?
Answer:
22:25
She will wait for 15 min
Step-by-step explanation:
9:55 is 21:55 in 24h time
after 15 min it will be 22:10
the closest time will be 22:25
25-10 is 15
15 min waiting
3s+8s2+9s–3+3+8s please ans this quickk
Am I correct?? Please correct me
hii please help i’ll give brainliest!!
Answer:
the thrid answer
Step-by-step explanation:
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 20 cm?
Answer:
Undefined, it can be 20 cm, 22 cm or any value.A triangle has no limitations for any of each three sides.
Step-by-step explanation:
How it works? The triangles have no limits on their sides, but by their angles. Each triangle sums 180 degrees at the inner angles. If you don't have specific values for the angles it is not necessary to get some values for the third side. It could be 1, 2, .... or even 1000.
four fifths of the senior class went to prom. if 324 seniors went to prom, how many are there in the class?
Answer:
there's a total of 388.8 kids in the class but you can have 0.8 of a person and you can't round a person up so just 388
Step-by-step explanation:
tldr: 388 people
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
More about the distance link is given below.
https://brainly.com/question/989117
The length of a plane is 18.4 metres Lucas buys a scale model plane The scale of the plane is 1 : 23
Answer:
423.2 is the length of the scale copy
Step-by-step explanation:
18.4 * 23 = 423.2 hope this helps!
song I made wonder what yall think of it
Answer: Oop if you put that on spotify i would listen to that on repeattttttt
Which would be the most appropriate way to estimate -6.1(0.22)
Answer: Answer is 1
Step-by-step explanation:
2. Write 6.07 x 10^7 in standard form
Please help me .
Answer:
60,700,000
Step-by-step explanation:
⇒10⁷ = 10000000
∴6.07 x10000000
=60,700,000
A pair of jeans and a T-shirt cost $50. If two such T-shirts cost $1 more than the pair of jeans, find the cost of the pair of jeans.
(I need the answer ASAP)
linear equations that share the same slope are peroendicular. true or false
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:This is FALSE Linear equations that share the same slope are PARALLEL.
:
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Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels
The question is incomplete:
Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels? The table that shows the types of bagels sold at the bagel shop on Friday is attached.
a. $70
b. $20
c. $90
d. $110
Answer:
c. $90
Step-by-step explanation:
First, you need to find the amount of bagels that Sasha purchased. The statement indicates that she buys all the chocolate chip bagels and the table shows that 28 chocolate chips bagels were sold, so that's the amount she purchased of this type of bagels. Also, the statement indicates that she buys half of the plain bagels and the table says that 16 plain bagels were sold, so you have to divide this amount by 2:
16/2=8
Then, you have to add the amount of chocolate chips bagels plus the amount of plain bagels that Sasha purchased:
28+8=36
Now that you know the amount of bagels that Sasha purchased, you have to multiply this for 2.50 that is the price per bagel:
36*2.50=90
According to this, the answer is that Sasha spends $90 on bagels.