(40m - 16n) ÷ 4 use the distributive property to write each product in standard form 7

The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.

To find the probability that a randomly selected student will like pizza but not chicken nuggets.

Let P = the number of students who like pizza but not chicken nuggets

Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets

P = 28n - 8

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students)

We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:

Total number of students = 28n + 15 - 8 = 28n + 7

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)

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The scale factor is the bigger over the smaller, so \(\frac{4}{3}\) is the scale factor.

To find x, we just use a proportion Biggest to Smallest:

\(\frac{4}{3}=\frac{16}{x}\)

4x = 48

x = 12

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Answer:

a) 77.3-73/10.7= 0.40187

b) 62.9-66.8/10.8= -0.36111

c) Kylie did relatively better

Step-by-step explanation:

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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Answer: mhm Maybe import a photo because I don’t get u

Step-by-step explanation:

The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:

y = a + bx

where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.

From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.

Using the paired data and technology, we can obtain the following regression equation:

height = 34.774 + 1.4966 (foot length)

Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:

height = 34.774 + 1.4966 (20.4)

height = 65.83 cm

Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

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Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Answer:

a

 The upper bound of the 99% prediction level is \( 98.2  \)  

b

 The  95% confidence interval is \(9.7383 <  \mu < 10.2617 \)

Step-by-step explanation:

Considering first question

From the question we are told that

   The sample size is  n  =  30  

   The sample mean is  \(\= x = 96.2\%\)

   The standard deviation is \(s = 0.8\%\)

Generally the degree of freedom is mathematically represented as

        \(df = n - 1\)

=>      \(df = 30 - 1\)

=>      \(df = 29\)

From the question we are told the confidence level is  99% , hence the level of significance is    

      \(\alpha = (100 - 99 ) \%\)

=>   \(\alpha = 0.01\)

Generally from the t distribution table the critical value  of   at a degree of freedom of is  

   \(t_{\alpha , 29} = 2.462\)

Generally the  99%  prediction level is mathematically represented as

      \(\= x \pm [(t_{\alpha  , df }) * s * (\sqrt{1 + \frac{1}{ n} } )}] \)

Generally the upper bound of the 99%  prediction level is mathematically represented as

      \(\= x + [(t_{\alpha  , df }) * s * (\sqrt{1 + \frac{1}{ n} } )}] \)  

=>    \( 96.2 + (2.462 ) * 0.8 * (\sqrt{1 + \frac{1}{ 30} } )}] \)  

=>    \( 98.2  \)  

Considering second question

 Generally the sample is mathematically represented as

             \(\= x = \frac{\sum x_i}{n}\)

=>           \(\= x = \frac{ 9.8 + 10.2 + \cdots +9.6 }{7}\)  

=>           \(\= x = 10\)    

Generally the standard deviation  is mathematically represented as

           \(\sigma = \sqrt{ \frac{ \sum ( x_ i - \= x)}{n-1} }\)

=>        \(\sigma = \sqrt{ \frac{ ( 9.8 -10)^2 + ( 10.2 -10)^2 + \cdots + ( 9.6 -10)^2 }{7-1} }\)

=>        \(\sigma = 0.283\)

Generally the degree of freedom is mathematically represented as

      \( df =  n- 1 \)

=>    \( df =  7- 1 \)

=>    \( df =  6 \)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the t distribution table the critical value  of   at a degree of freedom of  is  

   \(t_{\frac{\alpha }{2} , 6 } =  2.447\)

Generally the margin of error is mathematically represented as  

      \(E = t_{\frac{\alpha }{2} , 6 } *  \frac{\sigma }{\sqrt{n} }\)

=>    \(E =2.447*    \frac{0.283 }{\sqrt{7} }\)

=>    \(E =0.2617\)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

=>   \(10 -0.2617 <  \mu < 10 + 0.2617\)

=>   \(9.7383 <  \mu < 10.2617 \)

Answer:

Weight of total turkey need = 15 pound turkey

Step-by-step explanation:

Given:

Turkey need per person = 1\(\frac{1}{2}\) pound turkey = 3/2 pound turkey

Total person = 10

Find:

Weight of total turkey need

Computation:

Weight of total turkey need = (3/2)(10)

Weight of total turkey need = 15 pound turkey

Answer: 7 marbles

Step-by-step explanation:

Lin starts with 27 and creates 3 equal groups.

When separating, you divide.

27 divided by 3 is 9.

Each group has 9 marbles.

This means that by giving one group to Jill, she receives 9 marbles.

Jill gives away 2 of her 9 marbles, thus leaving her with 7 marbles.

9-2=7.

The given function is

At x = -3, the function is undefined. This implies that a discontinuity exists at that point where x = -3. This is why we conclude that there is a vertical asymptote at x = -3.

Therefore, the correct answer is there is a vertical asymptote at x = -3 since the function is discontinuous at that point.

Answer:

-14/1

Step-by-step explanation:

= -14 x 1 / 1 x 1

= -14/1

Answer:

22

Step-by-step explanation:

=x(x+22)

Answer:

The answer is 22

Answer: 1

Step-by-step explanation:

We can start by dividing both sides by 5. This gives us

\(6 + s = 7\)

Subtracting 6 from both sides gives us

\(s = 7-6=1\)

To check, we can put 1 back in the equation:

\(5(6+1) = 35\)

\(5(7) = 35\)

Since 5 * 7 is 35, 1 is the answer.

The degree of the provided polynomial is 18, and the leading term is √7.

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

\(= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9\)

As we can see in the expression the greatest degree is 18.

So the degree of the polynomial is 18

And the coefficient of the variable which has a height degree is the leading term.

The leading term = √7

Thus, the degree of the provided polynomial is 18, and the leading term is √7.

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Answer: C

Step-by-step explanation:

Just look at a z-score table and multiply by 100.

-> (0.308538)(100) is about 30.85%

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

f^-1(x) = 4(x+5)/3

Step-by-step explanation:

Let f(x) = y

So, y = (3/4)x - 5

y + 5 = (3/4)x

4(y+5)/3 = x

The steps are first to make a variable that holds the same value as the function, then from there you simplify and eventually make x the subject of the equation.

The proportion of observations greater than 7 is 0.25 or 25%.

For this question, we need to identify the number of observations higher than 7.

After inspecting the dataset, 25 values can be seen that are greater than 7.

Then, the proportion of observations greater than 7 can be calculated as follows:

proportion = number of observations greater than 7 / total number of observations

proportion = 25 / 100

proportion = 0.25

Therefore, the proportion of observations greater than 7 is 0.25 or 25%.

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Suppose we have a dataset of 100 observations, where each observation is a continuous variable. What proportion of the observations in the dataset are greater than 7?

Answer:

obtuse and isosceles

angle greater than 90° and 2 equal sides

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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Answer:

>

Step-by-step explanation:

Negative is that amount below zero. For example -3 is 0 - 3. This means that since -3 is 3 less than 0, -3 < 0. This can also be said as 0 > -3.

Answer:

Answer: 0 (> )-3

Step-by-step explanation:

Hope it helps

The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3

The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.

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Place the steps to sketch the graph of a rational function in the appropriate order.

1)find the function's zeros and vertical asymptotes, and plot them on a number line.

2) use test numbers to find where the function is positive and where it is negative.

3) sketch the function's graph, plotting additional points as guides as negative.

4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.​