1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aev [14]
3 years ago
7

A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an

d asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond​ yes, is approximately​ normal, how many more adult Americans does the researcher need to sample in the following​ cases?
(a) 20% of all adult Americans support the changes(b) 25% of all adults Americans support the changes
Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

Adult required in the case of “a” 28 and in the case of “b” the adult requirement is 19.

Step-by-step explanation:

(a) The percentage of adult that support the change is 20 percent.

Now calculate the number of adult required.

Given p = 0.20

Use the below condition:

np(1 – p) \geq 10 \\n \times 0.20 (1 – 0.20) = 10 \\n = 63 round off

Since 35 adults are already there so required adults are 63 -35 = 28

(b) The percentage of adult that support the change is 25 percent.

Now calculate the number of adult required.

Given p = 0.25

Use the below condition:

np(1 – p) \geq 10 \\n \times 0.25 (1 – 0.25) = 10 \\n = 54 (round off)

Since 35 adults are already there so required adults are 54 -35 = 19 .

You might be interested in
SOMEONE HELP ME WITH THIS ONE PLZ!
kolezko [41]
To construct a circle that circumscribes to a triangle, you would have to construct a circle that where all vertices of the triangle are on the circle. To do this you would have to construct the perpendicular bisectors of each side with your compass and straight edge. Comment on this answer if you are unsure of how to construct a perpendicular bisect (it's a long fundamental process to describe, and I wouldn't want to lecture you one something you already know). Once you have done so, set your compass point on the point where all perpendicular bisectors intersect (they should intersect in ONE point, if not you will have to redo it). Set your other compass lead on one of the vertices and spin away! If you have done this correctly, you should hit all three vertices when spinning your compass. Hope this helps!

Fun fact: the point where all perpendicular bisectors intersect is called the circumcenter
3 0
3 years ago
Simplify (3x – 5) + (5x + 1)
Archy [21]

Answer:

8x-4

Step-by-step explanation:

(3x-5)+(5x+1)

=3x-5+5x+1

=8x-4

5 0
3 years ago
A toy store’s percent of markup is 30%. A model train costs the store $50. Find the markup.
Ede4ka [16]
$104 because 30% of $80 is $24 and $80+$24 is $124 so...... that's what I got
8 0
3 years ago
a painter bought 8 gallons of paint just enough to cover 2 rooms. One room is twice the size of the other and requires only 2 co
e-lub [12.9K]
So, he's got 8 gallons of paint, to paint the two rooms, of the two rooms, one is twice as big as the other

now, "x" is how many gallons to paint the larger room with only one coat, however, the larger room uses 2 coats, so, the larger room uses 2x of paint
now, the client declined to paint the smaller one

so hmmm as I read... well, we dunno how many coats will go to the smaller room for one, we know the larger will use 2 coats, or 2x.. if we assume the smaller room was going to use say 1 coat or 1/2x

then one can say the painter bought enough for both rooms, 1coat for the small one and 2coats for the larger one

so, the paint the larger room, you'll 2x of paint, for 2coatsand to paint the smaller room, you'll need 1/2 x, because x gallons is how much is needed for the larger room, but the larger room is twice as big, thus the smaller room uses 1/2 of that in gallons

thus, with those assumptions, that the small room will use only 1 coat
\bf \cfrac{1}{2}x+2x=8\implies \cfrac{5x}{2}=8\implies x=\cfrac{16}{5}
that's who many gallons are needed for 1 coat in the larger roomrecall "x" is 1coat for the larger room

now, the client decides to skip the smaller roomso, the painter will only need 2x gallons then

\bf 2x\implies 2\cdot \cfrac{16}{5}\implies \cfrac{32}{5}\implies 6.4\ gallons

he bought 8 gallons, 8 - 6.4, he's got left 1.6 gallons
3 0
3 years ago
Read 2 more answers
What is the value of this expression when x = -6 and ? 4(x2 + 3) − 2y
Travka [436]

Answer:

I'm gonna guess and I don't know. I'm gonna go with C or A

3 0
3 years ago
Other questions:
  • the price of one share of ABC company decreased a total of $45 in 5 days what was the average change of the price of one share p
    13·1 answer
  • Please answer this correctly
    10·1 answer
  • I need help please?!!!
    12·1 answer
  • Write <br> 46.017<br> as a mixed number.
    11·2 answers
  • Please answer this correctly
    8·1 answer
  • Need helppppppppppppppppp
    13·2 answers
  • Find the area of each shape, please help and I will give a lot points
    11·1 answer
  • Solve for y<br><br> 8y - 8 = 4x
    7·2 answers
  • Solve the question 12 = 24x + 12.
    11·2 answers
  • (4x+7)-(x+1)<br> A. 4x+6<br> B. 4x+8<br> C. 3x+6<br> D. 3x+8
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!