A sample of 500 nursing applications included 60 from menThe 95% confidence interval of the true proportion of men who applied to the nursing program is

Answers

Answer 1

Answer:

The correct solution is "(0.092, 0.148)".

Step-by-step explanation:

Given:

Sample size,

n = 500

True proportion,

[tex]\hat {p} = \frac{60}{500}[/tex]

  [tex]=0.12[/tex]

The standard error will be:

[tex]SE=\sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

     [tex]=\sqrt{\frac{0.12(1-0.12)}{500} }[/tex]

     [tex]=\frac{0.12(0.88)}{500}[/tex]

The confidence interval is "1.96".

hence,

The required confidence interval will be:

= [tex](\hat p - 1.96 SE, \hat p + 1.96 SE)[/tex]

By substituting the values, we get

= [tex](0.12-1.96\sqrt{\frac{0.12(0.88)}{500} }, 0.12+1.96\sqrt{\frac{0.12(0.88)}{500} } )[/tex]

= [tex](0.092, 0.148)[/tex]


Related Questions

Identify the slope and y-intercept in the line y=3/4 x - 3



m=

b=

Answers

Answer:

The slope is 3/4 and the y intercept is -3

Step-by-step explanation:

y=3/4 x - 3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3/4 and the y intercept is -3

Answer:

[tex]{ \bf{slope = \frac{3}{4} }} \\ \\ { \bf{y - intercept : - 3}}[/tex]

Step-by-step explanation:

General equation of line:

[tex]{ \bf{y = mx + b}}[/tex]

Slope is m and y-intercept is b:

[tex]{ \tt{y = \frac{3}{4}x - 3 }}[/tex]

Slope= ¾

y-intercept = -3

a box has a length of 6x inches. the width equals one third the length, and the height equals half the length. if the volume equals 972 cubic inches, what does x equal?

Answers

a box has a length of 6x inches

l=6x

the width equals one third the length

w=[tex]\sf{\dfrac{1}{3}×6x }[/tex]

w=2x

the height equals half the length.

h=[tex]\sf{\dfrac{1}{2}×6x }[/tex]

h=3x

we know that,

Volume of a rectangle box=l×w×h

According to the question,

if the volume equals 972 cubic inches,

l×w×h=volume

6x × 3x × 2x=972

36x^3=972 cubic unit

x=972/36

x=27

Therefore:-

The value of x is 27

Given that,

a box has a length of 6x inches

so,

l=6x

But,the width equals one third the length

[tex]w=\dfrac{1}{3}×6x \\\\w=2x [/tex]

again,the height equals half the length.

[tex]h=\dfrac{1}{2}×6x \\\\h=3x[/tex]

we knows:-

Volume of a rectangle box=l×b×h

From the question,

if the volume equals 972 cubic inches,

l×w×h=volume6x × 3x × 2x=97236x^3=972 cubic unitx=972/36x=27.

Final solution:

.°.The value of x is 27.

Write the next thee numbers in each number pattern. Describe the pattern.
a) 2, 4, 3, 6, 5, 10, 9, 16, …
b) 7, 5, 8, 6, 9, 7, 10, …

Answers

Answer:

a) 2, 4, 3, 6, 5, 10, 9, 16, ...

Step-by-step explanation:

Given that PQ/ST = QR/TU= RS/US, select the postulate or theorem that you can use to conclude that the triangles are similar.

Answers

Answer: SSS Similarity Theorem (Choice A)

This is because we have three pairs of corresponding sides that form the same ratio, as shown by the given equation PQ/ST = QR/TU = RS/US.

That equation is basically the shorthand version of PQ/ST = QR/TU and QR/TU = RS/US combined together as one.

At a coffee shop, the first 100 customers'
orders were as follows.
Small
Large
Medium
Hot
un
48
22
Cold
8
12
5
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%

Answers

Answer:

people who ordered a cold drink=

[tex]8+12+5=25[/tex]

people who ordered a large cold drink= 5

[tex]probability= \frac{5}{25}[/tex] [tex]=\frac{1}{5}[/tex]

[tex]=\frac{1}{5} \times100=20~\%[/tex]

[tex]Answer: 20\%[/tex]

-----------------------

Hope it helps...

Have a great day!!

The probability that the customer ordered a large given that he or she ordered a cold drink is 5%.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given the order of the first 100 customers in a coffee shop.

Number of customers who ordered a large which is also a cold drink = 5

Total number of customers = 100

Probability = Number of desired outcomes / Total number of outcomes

Substituting,

Probability = 5 / 100 = 0.05 = 5%

Hence the required percent is 5%.

Learn more about Probability here :

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Which of the following is true about a circle? A The diameter is the same as the radius B The diameter is the same length as the circumfrence C The dimeter is half the legth of the radius D The diameter is twice the size of the radius

Answers

Answer:

d

Step-by-step explanation:

answer is d It can't be anything else

Answer:

D the diameter is twice the size of the radius

Step-by-step explanation:

PLEASE DO THIS ASAP! MUST SHOW WORK!
NO LINKS

Answers

Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w)

l = 14 and w = 18

P = 2(14+18)

P = 2( 32)

P = 64 meters

Perimeter of rectangle = 2 ( L + B )

L represents length of rectangle.

B represents breadth of rectangle.

So ,

L = 14 meters

B = 18 meters

Now , Substuting the values

Perimeter of rectangle = 2 ( 14 + 18 )

Perimeter of rectangle = 2 ( 32 )

Perimeter of rectangle = 64 meters.

plz help me with this

Answers

Answer:

x=100

Step-by-step explanation:

100 and x are vertical angles and vertical angles are equal

x = 100

Answer:

100 degrees

Step-by-step explanation:

Angle x is formed from two intersecting segments. Opposite angles of intersecting lines or segments are congruent therefore since the opposite angle is given at 100 degrees, x must also be 100.

A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL' is inscribed in the first row, ‘FLAG' in the fourth row, and a purple coloured rhombus is in the middle

Answers

The question is incomplete. The complete question is :

A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a  purple colored rhombus is in the middle, as shown in the given figure.

Based on this picture of the school flag, answer the following questions:  

(a) What fraction of the flag has the purple rhombus?

Solution :

From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks

The purple colored rhombus is made on the half of the 4 blocks.

i.e. [tex]$\frac{1}{2} \times 4 = 2\ \text{blocks}$[/tex]

Therefore, the fraction of the flag that has the purple rhombus is :

[tex]$=\frac{2}{24}$[/tex]

[tex]$=\frac{1}{12}$[/tex]

write a formula that describes the value of an initial investment of $100 that loses value at a rate of 8% per year compounded continuously

Answers

Answer:

[tex]A = 100(.92)^{t}[/tex]

Step-by-step explanation:

1. A triangular piece of wood has side lengths 14 cm, 19 cm and 30 cm. The angle between the 14 cm and 19 cm sides need to be known to see if it will fit properly into a cabinet. What is the angle, accurate to one decimal place, between the 14 cm and 19 cm sides? ​

Answers

Answer:

130.1°

Step-by-step explanation:

Using the cosine rule:

[tex] = { \cos }^{ - 1} ( \frac{ {14}^{2} + {19}^{2} - {30}^{2} }{2 \times 14 \times 19} )[/tex]

= 130.146°

The measure of angle is 72.8° (accurate to one decimal place ) between the 14 cm and 19 cm sides.

What is the Cosine Rule?

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given data as :

Length of side a = 14 cm

Length of side b = 19 cm

Length of side c = 20 cm

The angle of C is the between the side a and side b

According to the cosine rule,

c² = a² + b² − 2ab cos(C)

Substitute the values of a, b and c in the Cosine Rule,

20² = 14² + 19² - 2(14)(19)cos(C)

400 = 196 + 361 - 532cos(C)

400 = 557 - 532cos(C)

532cos(C) = 557 - 400

532cos(C) = 157

cos(C) = 157/532

cos(C) = 0.2951

(C) = cos⁻¹(0.2951)

(C) = 72.83

(C) = 72.8° (accurate to one decimal place)

Hence, the measure of angle is 72.8° (accurate to one decimal place ) between the 14 cm and 19 cm sides.

Learn more about Cosine Rule here:

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What is the order of rotational symmetry for the figure?

Answers

Answer:

it should be 3

Step-by-step explanation:

I hope this help

Help me to do this question plz plz plz ​

Answers

Answer:

Unknown

Step-by-step explanation:

You need to reduce the fractions the best you can and solve from there :) not to sure tho I am only 13

Logan was going to go to
Disneyland in America so he got
$450 from the bank. Then he
changed my travel plans, to go to
Eurodisney in Paris. How many
Euros will he have to spend?
Exchange Rate
GBP to Dollars £1: $1.50
GBP to Euros £1: €1.38

Answers

The answer is €414. Let me know if you need detailed solving

Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.

WILL GIVE BRANLIEST

Answers

Solution :

Amount of money Victoria has = $200

The amount modelled by function = h(x) = 200

According to the function,

s(x) = (1.05)x - 1

It means that the total amount of the interest that Victoria will receive s(x) is equal to original amount of $200 which multiplied by the rate of interest (1.05) and then multiplied by the time that Victoria keeps the money in the bank (x) minus 1.

The total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]

Exponential functions

THe standrd exponential function is exprressed as:

y = a(1±r)^t

Given the following parameters

h(x) = a = 200

s(x) = [tex](1.05)^{x-1}[/tex]

Combining both expressions will given 200 [tex](1.05)^{x-1}[/tex]

Hence the total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]

Learn more on exponential function here: https://brainly.com/question/12940982

There are three square gardens whose lengths of the sides are 3 ft, 7ft, and 2 ft respectively. Find the total area of the three gardens in square feet

Answers

Answer:

62 sq ft

Step-by-step explanation:

3 · 3 = 9

The first garden's area is 9 square feet.

7 · 7 = 49

The second garden's area is 49 square feet.

2 · 2 = 4

The third garden's area is 4 square feet.

We add 9 + 49 + 4.

9 + 49 + 4 = 62

The total area of the three gardens is 62 square feet.

Can someone help me I don't understand

Answers

Step-by-step explanation:

Hey there!

From the above right angled triangle ABC;

Taking Angle ABC as reference angle;

Angle ABC = ???

Perpendicular (p) = AC = 15

Base (b) = AB = 47

Now;

Taking ratio of sin;

[tex] \tan( \alpha ) = \frac{p}{b} [/tex]

Keep value;

[tex] \tan( \alpha ) = \frac{15}{47} [/tex]

Simplify it;

[tex] \tan( \alpha ) = 0.3191489[/tex]

Take tan to next side;

Angle ABC (alpha) = tan'(0.3191489)

Therefore, the measure of angle ABC is 17.70°.

Hope it helps!

Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9

Answers

Answer:

Additive property

Step-by-step explanation:

Given

[tex]x - 5 = -14[/tex]

Required

The property used

In the 2nd step, 5 was added to both sides, i.e.

[tex]x - 5+5 = -14 + 5[/tex]

The above is an illustration of additive property of equality, i.e. Adding or subtracting the same variable or constant to both sides of an equation

Sophie Ruth is eating a
50
5050-gram chocolate bar which contains
30
%
30%30, percent cocoa.
How many grams of cocoa are in the chocolate bar?

grams

Answers

Answer:

15 grams

Step-by-step explanation:

There is a 50 gram chocolate bar that contains 30% cocoa. So we are basically finding 30% of 50. We break 30 into 3*10 and 50 into 5*10. 5*3 = 15.

Therefore, there are 15 grams of cocoa in the chocolate bar.

I hope this helps.

The following two-way table describes student's
after school activities. Find the probability that a
randomly selected student is in music/drama:
Grado
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P(Music/Drama) = [?]
Round to the nearest hundredth.
Please HELP MEEE!!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

Firstly, we need to get the total number of students on the table

We have this as;

20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5 = 100

Now, we sum up the values we have in the music/Drama column

We have this as;

7 + 13 + 5 = 25

so the probability of selecting a student in the music/drama group is the number of music/drama students divided by the total number

That would be

25/100 = 1/4

Find the equation of the line:

Answers

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x - 2

is (the fraction in the photo) rational or irrational?

Answers

Answer:

Irrational

Step-by-step explanation:

The square root of 2 is an irrational number as it is: ≈ 1.41. When you divide the square root of 2 by 3, it's still irrational: 0.47140452...

What are the slope of the y intercept of the line represented by the points shown on the table

Answers

The Y intercept is where the function passes/ intercepts the y axis. On a table, it is where x is 0, in this case the y intercept is -20. The slope is found by change in y over change in x. So choose any two coordinates to find change. 10/5=2. So your answer is A.

A baseball stadium has 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. You solved for x and found that the upper level has 2,502 seats.

Answers

Answer:

upper level chairs = 2,502 chairs

Lower level chairs = 7,456 chairs

Middle level chairs = 5044 chairs

Step-by-step explanation:

A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. The upper level has( ) seats.

Total chairs in the stadium = 15,002

Let

upper level chairs = x

Lower level chairs = 3x - 50

Middle level chairs = 2x + 40

Total = lower level + middle level + upper level

15,002 = (3x - 50) + (2x + 40) + x

15,002 = 3x - 50 + 2x + 40 + x

15,002 = 6x - 10

15,002 + 10 = 6x

15,012 = 6x

x = 15,012 / 6

x = 2,502

upper level chairs = x = 2,502 chairs

Lower level chairs = 3x - 50

3(2,502) - 50

= 7506 - 50

= 7,456 chairs

Middle level chairs = 2x + 40

= 2(2502) + 40

= 5004 + 40

= 5044 chairs

Solve for t.

( 124 + 6 x 8 ) ÷ 2 = t

Answers

( 124 + 6 x 8 ) ÷ 2 = t

=> ( 124 + 48 ) ÷ 2 = t

=> 172 ÷ 2 = t

=> 86 = t

Hi there!

[tex]\large\boxed{t = 86}[/tex]

To solve, we must use PEMDAS:

P: Parenthesis

E: Exponents

M: Multiply

D: Divide

A: Add

S: Subtract

Evaluate the inside of the parenthesis:

(124 + 6 × 8)

Multiply first:

(124 + 48)

Evaluate:

124 + 48 = 172

Divide by 2:

172 ÷ 2 = 86 = t

The 4 answer it gives

X=-3

X=-1

X=1

X=3

Answers

Answer:

x=3

Step-by-step explanation:

If we look at the point of intersection on the graph they intersect at point (3,-1) but x=3 and y=-1 therefore x=3.

Write the equation of the line perpendicular to y=1/2x+3 that contains (5,-4)

Answers

Answer:

y = -2x + 6

Step-by-step explanation:

y = -2x + b

-4 = -2(5) + b

-4 = -10 + b

6 = b

ILL GIVE BRAINLEST!!! An ice cream shop sold a combined total of 429 ice cream cones in the flavors of
chocolate or vanilla. They sold 105 more chocolate cones than vanilla. How many vanilla
ice cream cones did they sell?

Answers

Answer:

They sold 162 vanilla cones.

Step-by-step explanation:

429-105=324

324/2=162

162+105=267 (chocolate)

267(chocolate)+162(vanilla)=429(total)

Download guathmath and put it my code please it's an app with tutors it's faster! WFHUZJ

Answers

Answer: Advertisement?

Do I need an explanation? : Y e s  I  d o

please help I beg you you will get marked branliest asap

Answers

Answer:

its D I think........ not 100% sure

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