Naomi works at a doctor's office. She surveyed a random sample of 100 patients and found that 70% of the patients surveyed take a daily vitamin. Naomi wanted to know if it is plausible that 75% of the entire population of the doctor's patients take a daily vitamin.

Naomi performed 360 trials of a simulation. Each trial simulated a sample of 100 patients under the assumption that 75% of the population takes a daily vitamin. The dot plot shows the results of the simulations.

What is the best conclusion for Naomi to make based on the data?

Answer:

[tex]16\sqrt{3}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.

What is the volume of the pyramid?

My answer:

As we know, The volume of a pyramid = [tex]\frac{1}{3}[/tex]base area × its height

Given:

=> The area of the base is [tex]12\sqrt{3}[/tex] [tex]cm^{2}[/tex]

We use: [tex]tan(30) = \frac{BC}{AC}[/tex]

<=> BC = [tex]4\sqrt{3}*tan(30)[/tex]

= 4 cm

And BC is the height of the the pyramid

=> The volume of a pyramid = [tex]\frac{1}{3}[/tex] [tex]12\sqrt{3}[/tex] [tex]cm^{2}[/tex] * 4 cm

= [tex]16\sqrt{3}[/tex] [tex]cm^{3}[/tex]

Answer:

A)The Standard error for difference in proportion is 0.0354

B)The Confidence interval with 95 % for difference in proportion is (0.356 ,0.495)

C)The conclusion is that  proportion of herbicides and no herbicides and having them diagnosed with malignant lymphoma is between 35.6 % and 49.5 % And higher than the proportion to pets in homes where no pesticides were used.

Step-by-step explanation:

Given:

Total dogs which are herbicide =827=n1

diagnosing malignant lymphoma Dogs=473

Total no herbicides Dogs=130=n2

19 were found to have lymphoma.

To Find:

a)What’s the standard error of the difference in the two proportions?

b) Construct a 95% confidence interval for this difference.

c) State an appropriate conclusion

Solution:

The standard error of difference is given by ,

Consider S1 for case 1 (herbicides) and S2 for case 2 (no herbicides)

So

[tex]S1-S2=Sqrt[p1(1-p1)/n1 +p2(1-P2)/n2)][/tex]

Here[tex]p1=473/827[/tex]  =0.578   and   [tex]p2=19/130[/tex]=0.146

[tex]S1-S2=Sqrt[0.572(0.428)/827 +0.146(0.854)/130][/tex]

[tex]S1-S2=Sqrt[2.96e-4 +9.59e-4][/tex]

[tex]S1-S2=Sqrt[0.001255][/tex]

[tex]S1-S2=0.0354[/tex]

This gives the difference between two proportions  0.0354

Now,

For 95 % C.I it is given by  for above difference at Z=1.96

[tex]C.I.=[p1-p2-Z*Sqrt[p1(1-p1)/n1 +p2(1-P2)/n2) ,p1-p2+Z*Sqrt[p1(1-p1)/n1 +p2(1-P2)/n2)][/tex]

[tex]C.I=0.426-1.96*Sqrt[0.57(0.42)/827 +0.146(0.85)/130],0.426+1.96*Sqrt[0.57(0.42)/827 +0.146(0.85)/130][/tex]

[tex]C.I.=(0.356,0.495)[/tex]

The conclusion is that  proportion of herbicides and no herbicides and having them diagnosed with malignant lymphoma is between 35.6 % and 49.5 % And higher than the proportion to pets in homes where no pesticides were used.

sqrt 10 = 3.16

sqrt 15 = 3.87

So the difference would be 0.7

Answer:

0.7

Step-by-step explanation:

Answer:

x = -5 , y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = -14 | (equation 1)

-2 x - y = 9 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{3 x + y = -14 | (equation 1)

0 x - y/3 = (-1)/3 | (equation 2)

Multiply equation 2 by -3:

{3 x + y = -14 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = -15 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -5 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = -5 , y = 1

The measure of angle FHG = 42 degrees. This is the same as the arc length.

The measure of angle FEG = 21 degrees. This is half the value of the arc length.

The measure of angles are

[tex]m < FHG= 42\\m < FEG= 21 \\[/tex]

Central angle is equal to intercepted arc.

Also, inscribed angle  is equal to half of the intercepted arc.

From the given diagram ,

Central angle is angle FHG.

Given that measure of Arc FG = 42 degrees

Central angle = intercepted arc

Central angle is same as intercepted arc.

[tex]m < FHG= m (arc FG)\\m < FHG= 42[/tex]

Inscribed angle  is equal to half of the intercepted arc.

To find inscribed angle , we divide the intercepted arc by 2.

[tex]m < FEG=\frac{1}{2} (arc FG)\\m < FEG=\frac{1}{2} (42)\\m < FEG= 21[/tex]

The following angles are

[tex]m < FHG= 42\\m < FEG= 21 \\[/tex]

Learn more information about 'Angles' here

brainly.com/question/2278895

Answer:

2

Step-by-step explanation:

Final answer:

The numbers that have an absolute value of 6 are -6 and 6.

Explanation:

An absolute value represents the distance between a number and zero on a number line. It is always a positive value. In this case, we are looking for numbers with an absolute value of 6. To find these numbers, we need to find all numbers that are 6 units away from zero.

The numbers that have an absolute value of 6 are: -6 and 6. These two numbers are equidistant from zero, with a distance of 6 units in either direction.

So, there are two numbers with an absolute value of 6.

Answer:

80.5 feet

Step-by-step explanation:

The formula for a triangle is 1/2 base times height. So it is 1/2 of 14 times 11 1/2. Which is also equal to 7 times 11 1/2. That equals 80.5. I hope this helps! Please mark me brainliest!

There is a rule for functions:

One input(x-value) can only have one output(y-value).

If one input has more than one output, it's not a function.

(This doesn't apply to outputs, one output can have more than one input and still be a function)

Option 1: It is not a function because the inputs 9 and 10 have more than one output

Option 2: It is not a function because the input 3 has more than one output

Option 3: It is a function because each input has only one output

Option 4: It is not a function because the input 5 has more than one output

Answer: y Y/40 should be your answer

Answer:

Y=40

Step-by-step explanation:

40/8=5

Answer:

The Quadrilateral namely as

1)Square .

2)Rhombus.

Step-by-step explanation:

Given :

Four sides and 4 angels are equal

To find :

Which quadrilateral are possible?

Solution:

We know that 4 sides are equal and 4 right angles are of square

And It ,s properties are acquired by the shape Rhombus

with equal sides and opposite side are parallel to each other and angles are of right angle (90 degrees).

And many Quadrilaterals have right angle but not 4 equal sides

(Pic of rhombus is shown below)

Answer:

The length of the rectangle = 20

The width of the rectangle = 8

Step-by-step explanation:

Step(l):-

let 'W' be the width of the rectangle

Given the length of a rectangle is 4 more than 2 times its width

length of a rectangle(L) = 4+2W

Given the Area of rectangle = 160

Step(ii):-

we know that the area of the triangle = length ×width

                                              (4+2w)w= 160

                                          [tex]2w^{2} +4w-160=0[/tex]

                                         [tex]2(w^{2} +2w- 80)=0[/tex]

                                         [tex]w^{2} +10w-8w- 80=0[/tex]

                                        [tex]w(w +10)-8(w+10)=0[/tex]

                                        [tex](w+10)(w-8) =0[/tex]

                                          [tex]w+10=0 , w-8=0[/tex]

                                          w = -10 and w =8

Step(lll)

we can choose the width is 'w' = 8

now the length of the rectangle = 4+2(8) = 20

The width of the rectangle is '8'

Conclusion:-

The length of the rectangle = 20

The width of the rectangle = 8

Answer:

t = 137.9 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

A = 6,250 (1 + 3.75/100)^t

A = 6,250 (1 + 0.0375)^t

A = 6,250 (1.0375)^t

1915-1890 = 25 years passed (t)

A = 6,250 (1.0375)^25

A = 15,689

1940-1890 = 50 years passed (t)

A = 6,250 (1.0375)^50

A = 39,381

1,000,000= 6,250 (1.0375)^t

1,000,000/ 6,250 =(1.0375)^t

160 = 1.0375^t

log 160 = log 1.0375^t

log 160 = (t ) log 1.0375

log160 / log 1.0375= t

t = 137.9 years

Using the compound interest formula to model population growth, the population of Smalltown in the years 1915, 1940, and 2003 is calculated to be approximately 13,194, 33,605, and 459,383 respectively. The population is projected to reach 1,000,000 in the year 2032.

To solve this problem, we use the formula for compound interest, which is also used for population growth, it is P(1 + r)^n where P is the initial amount (or population in this case), r is the rate of increase and n is the number of years.

https://brainly.com/question/18415071

#SPJ3

Answer:

statistics is defined as:

the branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.

Final answer:

Statistics is a mathematical discipline focused on data collection, analysis, interpretation, and presentation. It includes both the process of dealing with numerical data and the resulting numerical facts used to make decisions. The field consists of descriptive statistics and statistical inference, which help understand and compare data for informed decision-making.

Explanation:

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, and presentation of numerical data. It encompasses the entire process from gathering the data to drawing conclusions based on the numerical information obtained. Statistics can also refer to the numerical facts themselves, which are derived from these processes. The field is divided into two key areas: descriptive statistics, which summarizes data from a sample using indexes such as mean or standard deviation, and statistical inference, which makes predictions about a population based on a sample of data.

Statistics are not confined to mere numbers; they represent a comparison and understanding of numerical data. These comparisons help us make informed decisions in various fields, from public policy to medicine. For example, statistics can tell us the percentage increase in a population over a decade, enabling policymakers to plan resources accordingly. Statistics is integral to our daily lives, even though many may not realize its pervasive influence.

Answer:

The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.

Step-by-step explanation:

In a regular polygon all the sides are equal and also all the angles are equal. The sum of the interior angle of a polygon can be calculated with the following formula;

sum of interior angle = (n−2) × 180°

where

n = number of sides

The sum of the interior angle should be less than 7500 and greater than 7201.

sum of interior angle = (n−2) × 180°

less than 7500 and greater than 7201 = (43 - 2) × 180

less than 7500 and greater than 7201 = 41 × 180

less than 7500 and greater than 7201 = 7380 °

The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.

Answer:

it’s 0.53

Step-by-step explanation:

wigger fart

To calculate the probability of the temperature being in the 90s next year, you take the number of times the temperature was in the 90s over the past 15 years and divide by 15. This gives the probability, but it is just an estimate as weather is unpredictable.

To determine the probability that next year’s temperature will be in the 90s, you firstly need to know the number of times the temperature was in the 90s over the past 15 years. After that, you divide that by the total number of years observed (15 years). This gives a fraction or a decimal which represents the probability.

For instance, if the temperature was in the 90s for 7 out of the 15 years, the probability would be 7/15, or approximately 0.47.

Please remember, this result is an estimate as weather is influenced by many unpredictable factors. Therefore, the past trends cannot guarantee future conditions but it gives a rough estimate.

https://brainly.com/question/22962752

#SPJ2

Answer:

48 cubes

Step-by-step explanation:

The total area of the cubes would be 1/27. Because 1/3*1/3*1/3=1/27.

The area of the prism is 16/9.

2 2/3 x 2/3=16/9

16/9 * 1 = 16/9

Because we want to find a common denominator we would multiply 16/9 by 3 to get 48/27.

Last, we take 48/27 and divide that by 1/27.

48/27 divided by 1/27 = 1296/27 = 48

Answer:

48 have a good day

Step-by-step explanation:

0

1-1=0

So u have 1 then you take one away so it will get u 0 apples left

Answer:

0 apples in total,

Step-by-step explanation:

You ate the apple, so most would consider that you have 0 apples left.

one minus one is equal to zero in this case.

Answer:

Exponential function.

Step-by-step explanation:

We are given that a function of the  form

[tex]y=ab^x[/tex]

Where [tex]b\neq 0[/tex] and b>0

Exponential function: The function  is of the form

[tex]y=b^x[/tex]

Where b is a  positive constant and greater than 0 and x is any real number.

The given function satisfied the define of exponential function.

Hence, the function of the form [tex]y=ab^x[/tex]

Where b>0 and [tex]b\neq 0[/tex] are called exponential function.

Functions of the form y = ab^x, where b > 0 and b ≠ 0, are called Exponential Functions. They are widely used in mathematical and scientific contexts.

Functions of the form y = abx, where b > 0 and b ≠ 0, are called Exponential Functions. These functions represent a wide range of phenomenons in mathematics and natural science. An exponential function represents a quantity which is increasing or decreasing at a rate proportional to the magnitude of the quantity itself. For example, a savings account with an interest rate of 2% would exhibit exponential growth since the magnitude of the account balance would increase at a rate proportional to the balance itself.

https://brainly.com/question/37289664

#SPJ3

Answer:400 is the perimeter

Step-by-step explanation:

Answer:

200 inches

Step-by-step explanation:

40*4=160

160+40=200

Answer:

97.92m

Step-by-step explanation:

132.65-34.73=97.92

It should be the answer

Sorry if its wrong

Answer: the weight of the package of crackers is 323.2 grams

Step-by-step explanation:

Since the weights of packages of crackers are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = weights of packages of crackers.

µ = mean weight

σ = standard deviation

From the information given,

µ = 340 grams

σ = 12 grams

The z score of the package is - 1.4

Therefore,

- 1.4 = (x - 340)/12

Cross multiplying by 12, it becomes

- 1.4 × 12 = x - 340

- 16.8 = x - 340

x = - 16.8 + 340

x = 323.2 grams

Answer:

1/2

Step-by-step explanation:

We only care about the third coin

we could get heads or tails on the third flip

P (third coin will be heads) = outcome heads / total

                                            =1/2

Answer:

½

Step-by-step explanation:

Trials are independent

If the coin is unbiased,

P(T) = P(H) = ½ for every trial

56.1°.

Step 1 The two sides we know are Opposite (300) and Adjacent (400).

Step 2 SOHCAHTOA tells us we must use Tangent.

Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.

Step 4 Find the angle from your calculator using tan-1

"SOHCAHTOA" is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1) (2).

Please check the attached file for a brief answer.

Learn more about trigonometric at

https://brainly.com/question/24349828

#SPJ2

Answer:

a = 9

b = 3

c = 1

Step-by-step explanation:

hope it helps

To model the population of foxes t months since the beginning of Alyssa's study, we can use the equation P(t) = P(0) - (1/18t), where P(0) is the initial population of 185,000 foxes.

To write a function that models the population of foxes t months since the beginning of Alyssa's study, we need to determine the rate at which the population decreases over time. Given that the population loses 1/18 of its size every 22 months, we can use this information to develop an equation. Let P(t) represent the population of foxes at time t, and let P(0) be the initial population of 185,000 foxes.

Since the population loses 1/18 of its size every 22 months, the rate of decrease can be calculated as 1/18 per 22 months. This can be written as -1/18 per month or -1/18t per month. Hence, the equation that models the population is P(t) = P(0) - (1/18t).

Answer:about 54%

Step-by-step explanation:

Answer:

the correct answer is B i got it right on my test

Step-by-step explanation:

Answer:

The answer is B) k(pi) for k= 0, +/-2, +/-4,...

Step-by-step explanation:

edg

Answer:

D, 342 meters

Step-by-step explanation:

We can use the definition of sines to solve the problem. Remember, sine = opposite leg over the hypotenuse of the triangle.

[tex]sin(<Q)= \frac{RS}{QR} \\[/tex]

Then, we can substitute QR for 1,000 and [tex]<Q[/tex] for 20 degrees and solve like so:

[tex]sin(20) = \frac{RS}{1,000}[/tex]

[tex]RS = 1000 (sin(20))\\\ RS = 1000(0.342)\\\\RS= 342.0201[/tex]

Rounding that number, we get 342 meters. Hope this made sense!

Answer: D. 342 m

Step-by-step explanation:

The given triangle is a right angle triangle since angle S is 90°.

From the given right angle triangle,

QR represents the hypotenuse of the right angle triangle.

With m∠Q as the reference angle,

QS represents the adjacent side of the right angle triangle.

RS represents the opposite side of the right angle triangle.

To determine RS, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 20 = RS/1000

RS = 1000Sin20 = 1000 × 0.342

RS = 342 m