A researcher would like to estimate the proportion of children that have been diagnosed with a learning disability, such as dyslexia, dyscalculia or autism spectrum disorder (ASD) in their county. They randomly select 1000 children in their school districts and find that 10.6% have been diagnosed with a learning disability. Construct a 95% confidence interval for the population proportion of all children that have been diagnosed with a learning disability in their county. < Select an answer < Do not round between steps. Round answers to at least 4 decimal places.

Answer:

it C

Step-by-step explanation:

Minimum: 38

Lower quartile: 48

Median: 54

Upper quartile: 66

Maximum: 76

To determine the five-number summary, we need to find the minimum, lower quartile (Q1), median, upper quartile (Q3), and maximum values.

The minimum is the smallest value in the data set, which is 38.

The lower quartile (Q1) is the median of the lower half of the data set. To find Q1, we arrange the data in ascending order and find the median of the first five values, which is 48.

The median is the middle value in the data set when arranged in ascending order. In this case, we have an even number of values, so we take the average of the two middle values, which are 54 and 56. Thus, the median is (54+56)/2 = 55.

The upper quartile (Q3) is the median of the upper half of the data set. We find the median of the last five values, which is 66.

The maximum is the largest value in the data set, which is 76.

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There were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.

Let x = the number of buttons in box a initially.

There were 3x buttons in box a initially, and x buttons in box b initially.

15% of x is 0.15x, and 10% of x is 0.10x.

Thus, the 33% increase in buttons for box c was (0.15x + 0.10x).

We can set up the equation as follows:

0.15x + 0.10x + x + x = 266

0.25x + 2x = 266

2.25x = 266

x = 266/2.25

x = 118.22

Thus, there were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.

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Answer:

x = 8

Step-by-step explanation:

16x - 4 = 9x - 6 + 58

16x = 9x + 52 + 4

7x = 56

x = 8

Answer:

no sorry

Step-by-step explanation:

Answer:

corresponding angle

Step-by-step explanation:

Answer:

Here's a high-level description of an NFA that accepts strings over the digits 0-9 but does not contain the sequence "777" anywhere in the string:

Start with a single initial state.

For each digit from 0 to 9, create a transition from the initial state to a new state labeled with that digit.

From each state labeled with a digit, create a transition to itself labeled with that same digit.

Create a transition labeled with any digit from each state labeled with a digit to a new state.

From the new state, create a transition labeled with any digit to itself.

Create a transition labeled with any digit from the new state to another new state.

From the second new state, create transitions labeled with 0, 1, 2, 3, 4, 5, 6, and 8 back to the initial state.

Create a transition labeled with 9 from the second new state to a final accepting state.

From the final accepting state, create transitions labeled with any digit back to itself.

This NFA effectively allows any sequence of digits except the sequence "777". It loops back to the initial state whenever it encounters a digit that is not part of "777". If it reaches the end of the string after encountering any other digit, it transitions to the final accepting state.

Please note that while this description provides a high-level idea of the NFA structure, it may be helpful to create a visual representation or a more detailed description with state labels, transition arrows, and specific state transitions if you need to implement this NFA in code or further analyze its behavior.

Answer:

Step-by-step explanation:

We will approach this problem by doing a check

Say the diameter of a circle is 4 cm

Hence the radius is 3 cm

We know that the circumference is \(C=2\pi r\)

\(C=2*3.142*2= 12.57cm\)

The circumference is about 3 time bigger than the diameter

Let us try another case say the diameter is 6 cm

The radius is 3 cm

\(C=2*3.142*3= 18.85cm\)

Let x be the number of units produced per hour, then:

Answer:

Answer:

Rs 100 each

Step-by-step explanation:

Cost of 5 kg of rice= Rs 70*5=Rs 350

Cost of 2 packets of oil=Rs 125*2=250

Sum his wife got=Rs 2500

Remaining sum=Total-Spent=3300-3100=200

His son and daughter got the remaining equally,so

Sum they each got=Remaining sum/2=200/2=Rs 100

Answer:

The Answer should be B Retirement

Answer:

Third One

Step-by-step explanation:

All you have to do is subtract the ones with the same terms. Fo instance, you can't substract something that is squared with something that is cubed.

x^3 stays the same since there's no other term cubed

2x^2-3x^2= -1x^2

5-7=-2

So x^3-x^2-2

An algebraic equation which represents this word description "Seven more than the quotient of a number b and 45 is greater than 5" is b > -90.

In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.

In order to translate this word problem into algebraic equation, we would assign a variable to the unknown number and then translate the word problem into algebraic equation as follows:

Let the variable b represent the unknown number.

Translating the word problem into an algebraic equation, we have the following;

7 + b/45 > 5

By collecting like terms, we have the following:

b/45 > 5 - 7

b/45 > -2

By cross-multiplying, we have the following:

b > -2 × 45

b > -90

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Answer:

B) 3

Step-by-step explanation:

3^3-8(3)

3*3*3-24

9*3-24

27-24

3

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

144° + m5 = 180°

m5 = 180° - 144°

m5 = 36°

m5 + 56° + m4 = 180°

m4 = 180° - 56° - 36°

m4 = 88°

m3 + 56° = 180°

m3 = 180° - 56°

m3 = 124°

since the 2 horizontal lines are parallel:

m1 = m5 = 36°

m2 = 56°

Answer:

41 -12√5

Step-by-step explanation:

so, let the unknown irrational number be x,

solve:

√x + √5 = 6

√x = 6 - √5

( √x ) ² = ( 6 - √5 )²

x = ( 6 - √5 )( 6 - √5 )

x = 36 -6√5 -6√5 + 5

x = 41 -12√5

Answer:

43

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Well, I used the process of elimination at first. I realized that the numbers that mattered in the question were even numbers therefore the only one that would not end in the even number once I added "6" to the next 5 numbers, would be number 43.

Answer:

2y = x - 7

Step-by-step explanation:

The general equation of the line is;

y = mx + b

where m is the slope and b is the y-intercept

To get the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

(x1, y1) = (3,-2)

(x2,y2) = (1,-3)

m = (-3+2)/(1-3) = -1/-2 = 1/2

So we have the equation as;

y = x/2 + b

Multiply through by 2

2y = x + 2b

To get the y-intercept value, we substitute any of the points

Let us use the first point

While 3 will go for x , -2 will go for y; thus we have;

2(-2) = 3 + 2b

-4 = 3 + 2b

2b = -4-3

2b = -7

b = -7/2

So the equation is;

2y = x -7

Thus, the measure of angle A using the law of sine is found as:  ∠A = 39.37°.

The square of just about any one side of such a triangle is the difference between the sum of the squares of the other two sides along with the double product of the other sides and cosine angle contained between them, according to the law of cosine.

Given:

In ΔABC, a= 9, c=5 and ∠B = 120°.

Then, by law of cosine;

b² = a² + c² - 2ac* cosB

Put the values:

b² = 9² + 5² - 2*9*5*cos(120°)

b² = 151

b = √151

For finding the angle A, use the law of sine.

a/sin A = b/sin B

a sin B = b sin A

sin A = asinB / b

sin A = 9(√3 /2) / √151

Sin A = 9√453 / 302

Sin A = 0.63

A = 39.37°.

Thus, the measure of angle A using the  law of sine is found as:  ∠A = 39.37°.

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Answer:

the length is 2.62 and the width would be 7.62

Step-by-step explanation:

7.62 is 5 more than 2.62.

7.62 times 2.62 is 19.9644, then round to the nearest tenth, which would be 20.

Answer:

2669

Step-by-step explanation:

Given that :

Salary range = 876

Starting salary = 1793 monthly

The starting salary represents the minimum amount Micah can earn monthly

Therefore, the amount of money much can earn can be calculated thus :

Recall :

Range = maximum - minimum

876 = maximum - 1793

876 + 1793 = maximum

Maximum = 2669

Hence, the maximum salary Micha can earn is 2669 monthly

Using it's concept, it is found that there is a 0.713 = 71.3% probability that Rachel takes no more than three sweets from the bag.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

So:

\(p = \frac{3}{10} + \frac{7}{10} \times \frac{3}{9} + \frac{7}{10} \times \frac{6}{9} \times \frac{3}{8} = 0.713\)

0.713 = 71.3% probability that Rachel takes no more than three sweets from the bag.

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Answer:

C. 50%

Step-by-step explanation:

Sana makatulong

Answer:

d. 60%

Explanation:

12 ÷ 20 × 100%

= 0.6 × 100%

= 60%

i hope this helps! :D do comment if you need me to clarify anything

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

The gain or loss, based on the reevaluation of the currency and the amount changed, is loss of NRs 55, 000.

First, find the amount of American dollars that the businessman changed the currency to :

= 1, 100, 000 / 110

= $ 10, 000

The Nepali currency was revaluated by 5 % which meant that in relation to the dollar, it became :

= 110 x 0. 95

= NRs 104. 50

The amount that the man changed the dollars back to was :

= 10, 000 x 104. 50

= NRs 1, 045, 000

The loss was :

= 1, 100, 000 - 1, 045, 000

= NRs 55, 000

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Answer:

Bro this is all multiplication and addition involved

so

If 103Cd was 12$ so we get =

103*12 =1236$

And CD player =102 =102*35=3570$

So the Total is 4806$

Thanks in Advance

Nahom Wondale

Answer:

shenf dhd

Step-by-step explanation:

rhrbrutb hnjngb bdjdhdhdgdg jdjdurbervy

The peaks you would expect for the distribution described is A) None.

We would not expect any peaks in the distribution of numbers of people with birthdays in a particular month. This is because birthdays are evenly distributed throughout the year, and there is no reason to expect more people to be born in one month than another. Therefore, the distribution should be relatively flat, with no peaks or valleys.

To visualize this, imagine a histogram with the months on the x-axis and the number of people with birthdays in that month on the y-axis. Each bar should be roughly the same height, indicating that there are no peaks in the distribution.

In conclusion, we would expect no peaks in the distribution of numbers of people with birthdays in a particular month.

Hence Option A is correct.

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