According to the American Academy of Ophthalmology, 25% of Americans have brown irises. A random survey of students at a local community college found that 58 out of 175 had brown irises. What is the test statistic (ie the Z score) for this sample of students

Answer:

psst whats wrong??

Step-by-step explanation:

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

Data

The equation of circle is given by

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Let's substitute our values and get our equation

[tex](x--4)^2 + (y-9)^2 = 5^2\\(x+4)^2 + (y-9)^2 = 25[/tex]

we substituted the values of h and k and made sure it's in the standard form of equation of a circle.

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

This looks exactly like

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

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Answer:

Gjdkv7fyfkg4kftirfkb8

Answer:

Most simplified version is 1 3/7

Step-by-step explanation:

First step is turn everything into a fraction 4 into a fraction is 4/1

4/1 times 5/14 is 20/14 or 1 and 6/14 or 1 and 3/7

Here we have a problem with the multiplication of fractions.

We will find that:

[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]

First, two things we need to remember:

[tex]\frac{x}{y} \cdot\frac{a}{b} = \frac{x \cdot a}{y \cdot b}[/tex]

Also, an integer number N can be written as:

[tex]N = \frac{N}{1}[/tex]

Now we want to solve:

[tex]4 \cdot\frac{5}{14}[/tex]

Using the above relations we get:

[tex]4 \cdot\frac{5}{14} = \frac{4}{1} \cdot\frac{5}{14} = \frac{4 \cdot5}{1 \cdot14} = \frac{20}{14}[/tex]

Now we need to simplify this, to do it, we need to divide both numerator and denominator by the same number.

We can see that both are multiples of 2, so if we divide both by 2 we get:

20/2 = 10

14/2 = 7

Then we have:

[tex]\frac{20}{14} = \frac{10}{7}[/tex]

Now 7 and 10 do not have common factors, so we can't simplify it anymore.

Concluding, we get:

[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]

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Data: 25, 25, 26, 26, 27, 27, 28, 28, 29, 29

Answer:

18

Step-by-step explanation:

A left skewed data is one which it's tail is to the left of the distribution. This means the data is negatively skewed. One of the difference various characteristics of a left skewed data wh in could help find an answer to the question is that, for a left skewed distribution, the mean of the data is lower lesser than other measures of center and the mean falls to the left side of de of the peak. Hence, to create a data that is left skewed, we add the value from the options which will decrease the initial value of Mean.

From. The options ; adding 34 and 32 will increase the value the mean.

However, adding 18 will decrease the value value of the initial mean and hence, shift to the left of the peak.

Answer:

[tex]x = 16[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} (x + 8) - 16 = - 4[/tex]

[tex] \frac{1}{2} x + 4 - 16 = - 4[/tex]

[tex] \frac{1}{2} x + 4 = 12[/tex]

[tex] \frac{1}{2} x = 8[/tex]

[tex]x = 16[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x + 8 ) - 16 = - 4\\\\\frac{1}{2}*x + 8*\frac{1}{2} - 16 = -4\\\\\frac{1}{2}x + 4 - 16 = -4\\\\\frac{1}{2}x -12 = -4[/tex]

Add 12 to both sides

[tex]\frac{1}{2}x = -4 + 12\\\\\frac{1}{2}x = 8\\[/tex]

Multiply both sides by 2

[tex]x = 8*2\\\\x = 16[/tex]

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is [tex]100\%-20\%-20\%=60\%[/tex] of the total distance from home to school.

[tex]1200=\dfrac{60}{100}x[/tex]

[tex]1200=0.6x[/tex]

[tex]\dfrac{1200}{0.6}=x[/tex]

[tex]2000=x[/tex]

Therefore, the distance from home to school is 2000  metres.

How far, in metres, is it from my home to my school is 2,000 metres.

First step is to formulate

1200/(1-2×20%)

Second step is to find how far in metres

Distance=1200/(1-0.4)

Distance=1200/0.6

Distance=2,000

Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.

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Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

Answer:

The answer of this question is,

The answer of first question is point 2 and the answer of second question is point 3, look at the picture

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

Answer:

C=7

Step-by-step explanation:

Because it's a right angle in total we know the 2 expressions combined will equal 90.

(8c-5)+(6c-3)=90

Answer:

option 3

Step-by-step explanation:

part a

The x-intercept

part b

2

The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

And, The value of slope will be 2.

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

She spends them at a rate of two every minute until she runs out.

Now,

Since, She spends them at a rate of two every minute until she runs out.

And, The number of quarters Mia has is graphed over time.

We know that;

Usually we represent the independent variable (time) by x and dependent variable (quarters) by y.

Hence, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

So, The slope = 2/1

                       = 2

Thus, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters. And, The value of slope will be 2.

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Answer:

it is the middle one

Step-by-step explanation:

i did it

Answer:

32 ounces of fruits

Step-by-step explanation:

Given that :

Number of distinct fruits purcahed = 6

Number of ounces of each fruit = 5 1/3

The total ounces of fruits purchased :

(Number of distinct fruits purchased * Number of ounces of each fruit)

6 * 5 1/3 = 6 * 16/3

6 * 16/3 = (16 * 6) / 3 = 96 /3 = 32 ounces of fruits.

Answer: 8.21, 8.7, 8.84, 9.1

Step-by-step explanation:

answer: since they are linear pair therefore

x+34+ 2x+2=180

3x+36=180

3x=144

x=48°

Step-by-step explanation:

second opinion: ex are useless forget them

Answer:

B) x=48

Step-by-step explanation:

Hope it helps

E⁣⁣⁣⁣xplanation i⁣⁣⁣⁣s i⁣⁣⁣⁣n a f⁣⁣⁣⁣ile

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Find the normal approximation to the chance that the face with six spots appears between 9, 10, or 11 times.

The exact chance that the face with six spots appears 9, 10, or 11 times?

my solution; in one roll of the die P(6 spots)=16 In 60 rolls of the die the expected number of times the face with 6 spots appears is given by E(X)=Mean=606=10 times.

SE(6spots)=SD=SQR(606⋅56)=2.8868

Applying the normal approximation to the chance that the face with six spots appears 10 times, I obtain the following: mean = 10

Standard deviation=2.8868

Using the continuity correction of 0.5 the following z-scores are found: z1=(9.5−10)/2.8868=−0.1732 and z2=(10.5−10)/2.8868=0.1732 Subtracting the cumulative probabilities for the two z-scores gives 0.5688−0.4312=0.1376 which is the approximate chance that the face with six spots appears 10 times. find the six spots appears between 9,10, or 11?

The exact chance that the face with six spots appears 10 times is found from

60C10(16)10×(56)50=0.137 find six spots appears 9, 10 or 11 times

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

Answer:

c. 1/2

Step-by-step explanation:

7 out of 14 contestants did last time, which is 1/2 of the contestants.  You would assume that the same proportion would qualify when there are 10 contestants, so you would assume that 1/2 of 10 would also qualify for the bonus round.

You deposit $4000 in an account earning 4% interest compounded monthly. After 15 years, you will have approximately $7224.44 in the account.

To calculate the future value of an account with compound interest, we can use the formula:

Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Time)

In this case, the principal (initial deposit) is $4000, the interest rate is 4% (or 0.04 as a decimal), and the compounding is done monthly, so there are 12 compounding periods in a year.

Substituting these values into the formula, we have:

Future Value = $4000 * (1 + (0.04 / 12))^(12 * 15)

Calculating this expression gives us:

Future Value ≈ $4000 * (1.003333)^180

Future Value ≈ $4000 * 1.806111

Future Value ≈ $7224.44

After 15 years, you will have approximately $7224.44 in the account, considering the given interest rate and compounding frequency.

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Answer:

Order from greatest to least: 10.5, [tex]3\pi +1[/tex], [tex]\sqrt{105}[/tex]

Step-by-step explanation:

step 1 simplify each number

3π + 1  = 10.4247779

*round to the nearest tenth*

3π + 1 = 10.4

[tex]\sqrt{105} =10.2469507[/tex]

*round to the nearest tenth*

[tex]\sqrt{105} =10.2[/tex]

10.5 = 10.5

Now that we have simplified each number we can easily put them in order from greatest to least

10.5 is the greatest number

10.4 is the middle number

10.2 is the lowest number

so 10.5, 10.4, 10.2

Now we put them back in the original form

10.5 = 10.5

10.4 = 3π + 1

10.2 = [tex]\sqrt{105}[/tex]

Your answer is

10.5 , 3[tex]\pi[/tex] + 1, [tex]\sqrt{105}[/tex]

Answer:

hi

Step-by-step explanation:

you can find the answer according to the Pythagorean theorem

1.

[tex] {5}^{2} + {x}^{2} = {13}^{2} \\ 25 + {x}^{2} = 169 \\ {x}^{2} = 169 - 25 \\ {x}^{2} = 144 \\x = \sqrt{144} \\ x = 12 \: dm[/tex]

2.

[tex] {10}^{2} + {24}^{2} = {x}^{2} \\ 100 + 576 = {x}^{2} \\ {x}^{2} = 676 \\ x = \sqrt{676} \\ x = 26 \: in[/tex]

hope it helps

have a nice day

Answer:

I think the answer is 60

Step-by-step explanation:

If you do the base times the hieght it should get you the answer.

Answer:

50%

Step-by-step explanation:

if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)

Answer: 5 outfits

Step-by-step explanation: 17.63x2=35.26

                                             437.63+35.26+18.11=491

                                              680-491=189

                                              189 divided by 35.19= 5 (rounded)