a local dentist is concerned that less than half of her patients floss daily. a 95% confidence interval for the true proportion of her patients who floss daily is (0.325, 0.701). is it reasonable to believe that less than half of her patients floss daily? yes, because 0.50 is in the interval. yes, because the majority of the interval is less than 0.50. no, because there are values in the interval greater than 0.50. no, because the interval has a lower bound of 0.325, which is not statistically lower than 0.50.

Answer: No

Step-by-step explanation: Because if you substitute the 2 for x and 3 for y it is not equal

Answer:yes

Step-by-step explanation:

the answer to the question is 47

Answer:

0, the slope is the change in y coordinate divided by the change in x coordinate. The slope would be (-15-(-15))/(4-2)=0/2=0.

Answer:

0

Step-by-step explanation:

I feel like it would zero i mean it makes sense

Answer:

it would be C which is 150 units

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Answer:

It's letter C (x = -2) (y = 1)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Average = the sum of all numbers divided by the amount of items in the set, so:

10+30=40

40/2=20

20-4=16

Hopefully this helps :) Good luck!

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

The height of the bottom of the hole after the second day is -35 11/12 feet

Given:

Day 1 height = -45 1/4 feet

Day 2 height = -45 1/4 + 9 1/3

= - 181/4 + 28/3

= (-543 + 112) / 12

= -431/12

= -35 11/12 feet

Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet

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The probability is 0.3845.The probability of anything occurring is known as probability.

Explanation:

2/52 * 10/52  = 20/52 = 0.3845.

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Answer:

Consecutive odd numbers will be 11 and 13.

Step-by-step explanation:

Let the two consecutive odd integers are n and (n + 2).

From the given question,

Sum between twice the smallest and the biggest is 35.

Since, smallest number is 'n' and biggest is (n + 2)

Therefore equation will be,

2n + (n + 2) = 35

(2n + n) + 2 = 35

3n + 2 = 35

3n = 33

n = 11

And (n + 2) = 13

Consecutive odd numbers will be,

11, 13

The correct choice for the Decision and Conclusion in this hypothesis test is: Since the P-value (PV) is less than alpha (0.05), I reject the null hypothesis and conclude that at least two of the population proportions are significantly different from their null-hypothesized values. The correct answer is option a.

The P-value (PV) is the probability of observing a test statistic as extreme or more extreme than the one obtained, assuming that the null hypothesis is true. In this case, since the P-value is less than the significance level (alpha), we have strong evidence to reject the null hypothesis in favor of the alternative hypothesis.

Therefore, we can conclude that at least two of the population proportions are significantly different from their null-hypothesized values.

The correct answer is option a.

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The antiderivative of 7ex is 7ex, and the antiderivative of 6 sec2(x) is 6 tan(x). Thus, the most general antiderivative is F(x) = 7ex + 6 tan(x) + C, where C represents the constant of integration.

To find the antiderivative of the given function f(x) = 7ex 6 sec2(x), we integrate each term separately. The antiderivative of 7ex is simply 7ex, as the exponential function ex is its own antiderivative.

Next, we consider the antiderivative of 6 sec2(x). The derivative of the tangent function tan(x) is sec2(x), so the antiderivative of sec2(x) is tan(x). However, there is a coefficient of 6 in front of sec2(x), so the antiderivative becomes 6 tan(x).

Combining these results, we have F(x) = 7ex + 6 tan(x) as the antiderivative of the original function f(x) = 7ex 6 sec2(x). The "+ C" at the end represents the constant of integration, as any constant added to the antiderivative remains undetermined. Therefore, the most general antiderivative of f(x) is F(x) = 7ex + 6 tan(x) + C, where C is a constant.

To verify this result, we can differentiate F(x) and confirm that it indeed yields the original function f(x). Taking the derivative of F(x) with respect to x will give us back 7ex 6 sec2(x), thus confirming the correctness of the antiderivative.

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Answer:

11 breads

Step-by-step explanation:

Note that:

1 bread recipe = 1 bread

From the above question, we know that:

2/3 cups of walnut = 1 bread

7 1/2 cups of walnut = x breads

Cross Multiply

2/3 cups × x breads = 7 1/2 cups × 1 bread

x breads = 7 1/2 cups × 1 bread/2/3 cups

x breads = 7 1/2 ÷ 2/3

x breads = 15/2 ÷ 2/3

x breads = 15/2 × 3/2

x breads = 45/4

x breads = 11 1/4 breads

Maximum full recipe = 11 breads.

Therefore, the MAXIMUM numbers of full recipe of walnut bread the baker can make is 11 breads.

In Microsoft PowerPoint 2016, under the Slide Master tab, you will find six command groups. The names of these command groups are:

1. Edit Master: This command group allows you to modify the overall design and layout of the slide master, including background styles, fonts, and placeholders.

2. Background: This command group provides options to customize the background of the slide master, such as applying a solid color, gradient, texture, or picture.

3. Layout: The Layout command group allows you to manage the layout of slides within the slide master. You can add or modify placeholders for text, images, charts, and other content elements.

4. Colors: This command group enables you to choose and apply different color schemes to the slide master, affecting the colors used throughout the presentation.

5. Fonts: The Fonts command group allows you to select and apply specific font styles to the slide master, which will influence the text appearance in your presentation.

6. Arrange: This command group provides options for arranging and aligning objects within the slide master, such as bringing objects to the front or back, aligning them, and distributing them evenly.

These command groups offer a range of customization options to help you design and modify the slide master in PowerPoint 2016.

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The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

The first can that is 4/10 full.

Step-by-step explanation:

Well half of 8 is 4 and 4/8 is equal to 1/2. So 5/8 in this case is over 1/2. The can that is 4/10 full is less than 1/2 because half of 10 is 5 (5/10), so it is beneath that 1/2 mark.

I hope my explanation was easy to understand because I tried to make it simple.

:) :) :)

Null hypothesis (H0): The mean monthly rent for an apartment in the city is still $800 this year.

Alternate hypothesis (Ha): The mean monthly rent for an apartment in the city is higher than $800 this year.

The appropriate null and alternate hypothesis are:

Symbolically,

H0: µ = 800

Ha: µ > 800

Here, µ represents the population mean rent for apartments in the city.

The null hypothesis (H0) is a statistical hypothesis that assumes there is no significant difference or relationship between two variables or sets of data. In other words, it suggests that any observed differences or relationships are due to chance or random variation.

The null hypothesis assumes that there has been no change in the population mean rent, while the alternate hypothesis suggests that the population mean rent has increased.

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Answer:

Step-by-step explanation:

is A

Answer:

4/100 is the fraction

Step-by-step explanation:

there are four blue blocks shaded out of the 100

Answer:

C. 15.7 feet

Step-by-step explanation:

9/cos(55 deg)=

15.691.

round it up, and the length of the beam is 15.7 feet.

The length of the beam is 15.7 foot.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

A beam rests against a wall, forming a angle with the floor = 55 degree

The function is y = 9 secθ

The length of the beam is

⇒ \(y = 9 sec\theta\)

⇒ \(y = 9 sec55\)

we know that secθ = 1/cosθ

⇒ \(y = 9 (\frac{1}{cos55})\)    

⇒ \(y=15.69\)

⇒ \(y=15.7\)

Hence we can conclude that the length of the beam is 15.7 foot.

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Answer:

1 19/20 hours

Step-by-step explanation:

We solve the above question using Subtraction operation

Hence:

The number rod hours Mr. Clemens painted the barn in the afternoon than in the morning is calculated as:

5 3/4 hours - 3 4/5 hours

5- 3 +( 3/4 - 4/5)

Lowest Common Denominator = 20

2 + (15 - 16/20)

2 + -1/20 hours

= 1 19/20 hours

Answer:

Bacterial population at the time of 10 hours = 1040000

Step-by-step explanation:

Let the function that defines the bacterial population after 'x' hours is,

p(x) = a(b)ˣ

Where a = Initial population

And 'x' = Duration or time

Since bacterial population is getting doubled every hour,

2a = a(b)¹

b = 2

Therefore, function will be,

p(x) = a(2)ˣ

From the graph attached,

Point (5, 32500) lies on the graph of the function.

32500 = a(2)⁵

a = \(\frac{32500}{32}=1015.625\)

Therefore, the function will be,

p(x) = 1015.625(2)ˣ

For x = 10 hours,

p(10) = 1015.625(2)¹⁰

        = 1040000 bacteria

The correct dotplot for the given data is option D, which displays the number of errors for the week for each workstation.

Error in math is any mistake made in the process of solving a mathematical problem or problem-solving process. It could mean a mistake in the calculations, incorrect steps taken, or incorrect assumptions made. It can also include making a wrong interpretation of the problem, or not being able to solve it at all. Errors in math can occur due to a lack of understanding of the concepts, mistakes in calculations, errors in reasoning, or incorrect application of the rules and formulas. Errors can also be made in the process of writing down the equations, or in the process of simplifying the equation.

The graph begins with 0 and goes up to 254201 in intervals of 5. The data points for each work station are marked on the graph, showing the number of errors each work station made. This visual display of data points allows for an easy comparison of the number of errors across all workstations.

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A recurrence relation for the number of matches is m = 2^n / 2.

What is recurrence relation?

A recurrence relation is an equation according to which the nth term of a sequence of numbers is equal to some combination of the previous terms.

If we have 2^n players, and m(n) is the number of matches, then the first tournament round will be m matches between m = (2^n / 2) pairs of players. The next round will be among the winners of those matches, and so on:

m(n = 1), there is 1 match between 1 pair \(2^{n} /2\) of players.

m(n = 2), there are 2 matches between 2 pairs \((2^2 / 2)\) of players, plus the match (as above) between the 2 winners.

m(n = 3), there are 4 matches between 4 pairs \((2^3 / 2)\) of players, plus the 2 matches (as above) between the 2 pairs of winners, and so on ...

So, for m(n), in a tournament of n players, m = \(2^n / 2\) matches in the first round of the tournament, plus the number of rounds required for \(2^{n-1}\) players.

Step 1: m(1) = 1

Step 2: m(n) = (2^n)/2 + m(n - 1)

A recurrence relation for the number of matches is m = 2^n / 2.

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Answer:

x = 1, y = 4, or x = -2, y = 1

Step-by-step explanation:

y = -x^2 + 5

-x + y = 3

Use substitution to solve for the equation

-x + (-x^2 + 5) = 3

-x^2 - x + 5 = 3 (simplifying)

-x^2 -x  + 2 = 0 (simplifying)

(-x + 1)(x+2) = 0 (factoring)

-x + 1 = 0 or x + 2 = 0

x = 1, or x = -2

-x + y = 3

-(1) + y = 3, or -(-2) + y = 3

y = 4, or y =  1

just choose any one...

x = 1, y = 4

or x = -2, y = 1

(they both work)

Angles p and q are complementary, which means that their sum is equal to 90 degrees. Let's assume the size of angle q is x degrees. Since p is four times the size of q, we can write the equation p = 4q.

To find the size of q, we need to substitute the value of p in terms of q into the equation for the sum of the angles: p + q = 90.

Substituting 4q for p, we get:

4q + q = 90

Combining like terms:

5q = 90

To solve for q, we divide both sides of the equation by 5:

q = 90/5

Simplifying:

q = 18

Therefore, the size of angle q is 18 degrees.

when angles p and q are complementary and p is four times the size of q, the size of angle q is 18 degrees.

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Answer:

y = 9x - 5

Step-by-step explanation:

Slope Intercept Form:  y = mx + b

( m = slope and b = y-intercept form )