Many individuals over the age of 40 develop intolerance for milk and milk-based products. A
dairy has developed a line of lactose-free products that are more tolerable to such individuals. To
assess the potential market for these products, the dairy commissioned a market research study of individuals over 40 years old in its sales area. A random sample of 250 individuals showed that 86 of them suffer from milk intolerance. Based on the sample results, calculate a 90% confidence
interval for the population proportion that suffers milk intolerance. Interpret this confidence interval.


a) First, show that it is okay to use the 1-proportion z-interval. (Assumptions)

b) calcuate by hand a 90% confidence interval (use the formula)

c) provide an interpretation (conclusion)

d) if the level of confidence was 95% instead of 90% would the resulting interval be narrower or wider? explain. (show your computation before your explanation)

e) if the researchers were interested in the 90% interval with the 3% margin of error what size sample would they require?

f) verify your 90% confidence interval using your calculator. ​

The right answer is 75 kg

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex]=-2x+14[/tex]

Step-by-step explanation:

[tex]\left(\frac{1}{2}\right)^2\cdot \:8-2x+\left(5+7\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\left(\frac{1}{2}\right)^2\cdot \:8-2x+5+7\\\left(\frac{1}{2}\right)^2\cdot \:8=2\\\left(\frac{1}{2}\right)^2\cdot \:8\\\left(\frac{1}{2}\right)^2=\frac{1}{2^2}\\\left(\frac{1}{2}\right)^2\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\=\frac{1^2}{2^2}\\\mathrm{Apply\:rule}\:1^a=1\\1^2=1\\=\frac{1}{2^2}\\=8\cdot \frac{1}{2^2}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{1\cdot \:8}{2^2}\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:8=8\\=\frac{8}{2^2}\\\mathrm{Factor}\:8:\quad 2^3\\\mathrm{Factor\:}8=2^3\\=\frac{2^3}{2^2}\\\mathrm{Cancel\:}\frac{2^3}{2^2}:\quad 2\\\frac{2^3}{2^2}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{2^3}{2^2}=2^{3-2}\\=2^{3-2}\\\mathrm{Subtract\:the\:numbers:}\:3-2=1\\=2\\=2-2x+5+7\\Group\:like\:terms\\=-2x+2+5+7[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:2+5+7=14\\=-2x+14[/tex]

Answer:

C. $40,000

Step-by-step explanation:

5/8*3200*20

2000*20

$40,000

Answer:

The correct answer is D. $64,000

Just multiply $20 x 3,200

= $64,000

Step-by-step explanation:

Answer:

(x+10) ^2 + (y-6)^2 = 64

Step-by-step explanation:

The equation of a circle can be written as

(x-h) ^2 + (y-k)^2 = r^2  where( (h,k) is the center and r is the radius

(x- -10) ^2 + (y-6)^2 = 8^2

(x+10) ^2 + (y-6)^2 = 64

Answer:Test to determine if a function y=f(x) is even, odd or neither: Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = - f(x), the function is odd.

Step-by-step explanation:

Answer:

Even function because the highest exponent of the variable is a 6, and 6 is an even number.

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

JUST TOOK THE TEST

Answer:

60

Step-by-step explanation:

10(2+2)+10x2

10(4)+20

=60

Answer: 60

Step-by-step explanation:

Answer:

8⁷

Step-by-step explanation:

In multiplication, if two numbers have the same base, add the powers

8⁵*8² = 8⁵⁺² = 8⁷

Answer:

17.3 cm (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

  1036.7 cm

Step-by-step explanation:

In 22 minutes, the second hand makes 22 full revolutions, for a total angle of 22(2π radians) = 44π radians.

The length of travel is this angle multiplied by the radius:

  (7.5 cm)(44π) = 1036.7 cm

Answer:

Total Cost, C=$(16S +56)

Step-by-step explanation:

Chris buys 8 more Ninja Turtles than Star Wars action figures.

Cost of each Ninja Turtle = $7

Cost of each Star Wars  = $9

Let number of Star Wars bought = S

As per question statement, number of Ninja Turtles bought = S+8

Cost of 'S' number of Star Wars = Number of Star Wars bought [tex]\times[/tex] cost of each Star Wars

Total cost of Star Wars bought = S [tex]\times[/tex] 9 or $9S

Similarly, Cost of 'S+8' number of Ninja Turtles = Number of Ninja Turtles bought [tex]\times[/tex] cost of each Ninja Turtles

Total cost of Ninja Turtles bought = (S+8) [tex]\times[/tex] 7 or $(7S +56)

Total Cost of the purchase = Total cost of Star Wars Bought + Total cost of Ninja Turtles bought

Total Cost of the purchase, C = 9S + (7S +56)

[tex]\Rightarrow C=\$(16S +56)[/tex]

Answer:

C=$(16S +56)

Step-by-step explanation:

B: A makeup brand is endorsed by a celebrity

The following information should be considered;

learn more: https://brainly.com/question/994316?referrer=searchResults

Answer:

B- a makeup brand is endorsed by a celebrity

Step-by-step explanation:

When we see a celebrity influencing a product, we want to go buy it.

EX- Let's pretend you see Kendal Jenner wearing a pair of designer boots.

We, the audience and shoppers see that they look good on her and want to buy it.

Answer:

65/72

Step-by-step explanation:

cot is simply cosine over sine or the tangant flipped

the cos (c)=65/97

sin (c) = 72/97

cot would be (65/97)/(72/97)

How do you divide fractions? By multiplying the reciprocal!

cot would be  65/97 * 97/72

the 97s cross out.

65/72

Answer:

1/2 times 632

Step-by-step explanation:

If youn multiply something by 1/2, it is just divided by 2. They are the same thing.

Answer:

[tex] \frac{1}{2} \times 632[/tex]

First answer is correct

Step-by-step explanation:

of means multiply

so,

[tex] \frac{50}{100} \times 632 \\ = \frac{1}{2} \times 632[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

D I think

Step-by-step explanation:

none of the others look right

The fraction which is used to rationalize fraction [tex]15/\sqrt{3}[/tex] is option D which is [tex]\sqrt{3}/\sqrt{3}[/tex].

A fraction is a combination of two numbers one is numerator and other is denominator. Number above division is numerator and number above division is denominator. It is expressed as u/v where u is numerator and v is denominator.

The given fraction is [tex]15/\sqrt{3}[/tex] and we have to rationalize the fraction now we have to multiply and divide [tex]15/\sqrt{3}[/tex] by [tex]\sqrt{3}[/tex]

=15/[tex]\sqrt{3}[/tex]*[tex]\sqrt{3}\sqrt{3}[/tex]

=[tex]15\sqrt{3}/3[/tex]

Rationalized fraction will be [tex]15\sqrt{3} /\sqrt{3}[/tex].

Hence the fraction required to rationalize fraction 15/[tex]\sqrt{3}[/tex] is [tex]\sqrt{3} /\sqrt{3}[/tex].

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Answer:

12pi

Step-by-step explanation:

The answer is 37.71 inches

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

About 1,272 inches or 106 ft

Unsimplified: 1272.345 inches

(I think)

Answer: $29.62

Step-by-step explanation:

6.79 * 3 = 20.37

9.25 * 1 = 9.25

So, 20.37 + 9.25 = 29.62

Answer:

D

Step-by-step explanation:

(6.79*3)+(9.25*1)=29.62

we multiply the cost of shortening a pair of pants by the number of pants brought and the cost of a dress multiplied by the number of dresses to get our answer

Answer:

40 mph

Step-by-step explanation:

at least I won't crash in one second, and that's not that slow.

Answer:

i rather drive a car 40 miles per second however.... driving at 50ft per second sounds like fun

Step-by-step explanation:

Answer:

Here is your answer

Step-by-step explanation:

y - 7 = -2(x-2)

y - 7 = -2x + 4

  +7            +7

    y = -2x + 11

Answer:

its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

B i did the test

Answer:

C. x^2 + 8x +16

Step-by-step explanation:

(x+4)(x+4)

[tex]x^{2}[/tex]+4x+4x+16

[tex]x^{2}[/tex]+8x+16

A. x^2 + 4x + 16 -> No! they did not add the two 4x

B. x^2 + 8x^2 + 16 -> No! they added the two 4 but they seem to have multiple the xs

C. x^2 + 8x + 16 -> Yes! it's the same results we got when we solve it

D. 2x + 8x +16 -> No! they added the two Xs.

Answer:

150°, 108°, 90°, 12°

Step-by-step explanation:

France: 25/60 × 360 = 150°

Spain: 18/60 × 360 = 108°

Greece: 15/60 × 360 = 90°

Other: 2/60 × 360 = 12°

Answer:

SA = 680 units^2

V =1200 unit^3

Step-by-step explanation:

If the radius is 5 then the diameter is 2r = 2*5 = 10

The height would remain the same

Surface area of a prism is given by

SA = 2 (lw+lh+hw)

l =d = 10   w = d = 10   h = 12

SA = 2 ( 10*10 + 10 * 12+ 12* 10)

SA = 2( 100+120+120)

SA = 2(340)

SA = 680 units^2

V = l*w*h = 10*10*12 =1200 unit^3

Answer: d) 27

Step-by-step explanation:

When you multiply 4*6 you know it’s 24 right? Then you can subtract 3/5 using lcm and times that by 25

Hope that helps!

The value of the expression is -100/3.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

- (-4) (-6) - 3/5 (10 + 15) - 1/3

Simplifying the expression.

= 4 x -6 - 3/5 x 15 - 1/3

= -24 - 3 x 3 - 1/3

= -24 - 9 - 1/3

= (-72 - 27 - 1)/3

= -100/3

Thus,

The value of the expression is -100/3.

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Answer:

[tex] \frac{1}{5} [/tex]

Step-by-step explanation:

Given geometric sequence is: 625, 125, 25, 5, 1

Common ratio

[tex] r = \frac{succeeding\: term}{preceding \: term} \\\\

\therefore r = \frac{125}{625} \\\\

\therefore r = \frac{1}{5} [/tex]

Answer:

B or 25/125

Step-by-step explanation:

Got it right

Answer:

-5

Step-by-step explanation:

I think the answer is -5, since if Fiona divided the 3x^2+5x-3 by 3x+2, the remainder would be (x+6)/(3x+2)

Answer: c= 4/19

Step-by-step explanation:

Answer:

the answer of above question is 41

Answer:

41

Step-by-step explanation:

HOPE I HELP!