2. Select all quantities that are proportional to the diagonal length of a square.
A. Area of the square
(B. Perimeter of the square
C. Side length of the square

The speed of cars Data set, the mean is 68.33 mph, the median is 65 mph, and there is no mode,The cheeseburger prices data set, the mean is $9.75, the median is $10, and the mode is $10.

The measure of center for the given data sets, we can calculate the mean, median, and mode for each set of values:

1) Speed in miles per hour of the last 12 cars: (68, 65, 55, 74, 60, 62, 72, 50, 62, 66, 68, 70)

- Mean: To find the mean, we sum up all the values and divide by the total number of values.

  Mean = (68 + 65 + 55 + 74 + 60 + 62 + 72 + 50 + 62 + 66 + 68 + 70) / 12 = 68.33

- Median: To find the median, we arrange the values in ascending order and find the middle value.

  Median = 65

- Mode: The mode is the value(s) that appear most frequently in the data set. In this case, there is no mode as no value appears more than once.

2) Price of a cheeseburger at 9 different restaurants: (9, 7.50, 10, 10, 14.75, 10, 8.50, 7.75, 10)

- Mean:

  Mean = (9 + 7.50 + 10 + 10 + 14.75 + 10 + 8.50 + 7.75 + 10) / 9 = 9.75

- Median:

  Median = 10

- Mode: The mode is the value(s) that appear most frequently in the data set. In this case, the mode is 10 as it appears three times.

Therefore, for the speed of cars data set, the mean is 68.33 mph, the median is 65 mph, and there is no mode.

For the cheeseburger prices data set, the mean is $9.75, the median is $10, and the mode is $10.

To know more about Data set.

https://brainly.com/question/28168026

#SPJ11

35-25/7-5

10/2= 5

5 trees per hour

C. The image shows two right triangles with one pair of congruent leg and congruent hypotenuse. Therefore, the congruence is HL.

D. This shows two right triangles that share one side (a leg) and have the other leg also congruent to each other. Therefore, their congruence is LL and SAS (leg, right angle, leg).

E. This shows two triangles with a pair of congruent sides, a pair of congruent angles, and they have a common side, therefore congruent since they are the same.

So, their congruence is SAS.

F. This shows two right triangles sharing the same hypotenuse, and with a pair of congruent angles. Therefore, their congruence is HA.

G. This shows two right triangles with congruent hypotenuses, one congruent pair of legs, and two congruent pairs of angles (if we include the right angle).

So, their congruence is HA and HL.

H. The two triangles here have a right angle, a pair of congruent sides, and a pair of angles that are opposite by vertex, so they are also congruent angles.

Therefore, their congruence is ASA.

Answer:

I think that you need to add obvoiusly.

12351 Thats what I got. But Im not sure if its correct. I hope his helps

Step-by-step explanation:

Answer:

16383

Step-by-step explanation:

12288+3072+767+192+48+12+3 =

Answer: a a a a. Aa

E s. Ss s

Step-by-step explanation:

s. S s s s. S s s s s

Answer:

Step-by-step explanation:

A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:

y = A * cos(B * x) + C * sin(D * x)

In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{let's use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_3(3^{2x+1})\implies 2x+1\)

Answer:

Adjacent Angles

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf Adjacent \ Angles}\)

Step-by-step explanation:

Both the angles are sharing a common leg, so they are adjacent angles.

\(\rule[225]{225}{2}\)

Hope this helped!

To estimate the mean EPA combined city and highway mileage, the automaker conducted EPA mileage tests on a random sample of 35 midsize cars. The sample mean is 24, and the population standard deviation is 1.2. The task is to calculate the 70% confidence interval for the population mean.

To calculate the confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √(Sample Size))

First, we need to determine the critical value associated with a 70% confidence level. The critical value can be found using a standard normal distribution or a t-distribution, depending on the sample size and whether the population standard deviation is known.

Since the sample size is relatively large (n = 35), we can use the standard normal distribution. The critical value for a 70% confidence level corresponds to a z-score of ±1.036.

Next, we calculate the margin of error:

Margin of Error = (Critical Value) * (Standard Deviation / √(Sample Size)) = 1.036 * (1.2 / √35) ≈ 0.380

Finally, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = Sample Mean - Margin of Error = 24 - 0.380 ≈ 23.62

Upper Bound = Sample Mean + Margin of Error = 24 + 0.380 ≈ 24.38

Therefore, the 70% confidence interval for the mean EPA combined city and highway mileage is approximately 23.62 to 24.38.

Learn more about standard deviation here: brainly.com/question/29808998

#SPJ11

The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We have been given that OB = b and OA = a

From ΔAOB we have;

OB + BA + AO = 0

b + (- AB ) -a = 0

AB = b - a

Now from ΔMNO we have;

MN + NO + OM = 0

MN + ( -ON) + OB/ 2 = 0

MN - (OA + AN ) + b/2 = 0

MN - ( a + 30a) + b/2 = 0

MN = 29a - b/2

Now from ΔMBP , we have;

MB + BP + PM = 0

OB/2 + (BA - PA) + PM = 0

b/2 + ( - AP/k + AP) + PM = 0

b/2 + ( -kAB /k + kAB) + PM = 0

b/2 + ( k AB + AB ) + PM ) = 0

PM = -b/2 - (k + 1) (b - a)

MP = b/2 + ( k+1) (b - a)

To know more about the triangle refer to the link given below:

brainly.com/question/1058720

#SPJ1

For a given initial quantity A, a decrease of x% can be written as:

A - A*(x%/100%) = A*(1 - x%/100%)

With this, we need to construct an exponential decrease equation for the given situation, and we will find that the equation is:

P(t) = 300*(0.77)^t

Now let's see how we found that.

In this case, we know that:

The initial number of animals is 300.

They decrease at an anual rate of 23%.

This means that after the first year, the population will be:

P(1) = 300 - 300*(23%/100$) = 300*( 1 - 0.23) = 300*(0.77)

After another year, the population decreases again, so we get:

P(2) = 300*(0.77) - 300*(0.77)*(23%/100$) = 300*(0.77)^2

Here we already can see the pattern, the population in the year t, we will get:

P(t) = 300*(0.77)^t

Then we can see that the correct option is C.

If you want to learn more, you can read:

https://brainly.com/question/16993154

Answer:

i think its abc stays same, bac gets smaller, and acb gets bigger

for the second part, abc same, bac bigger, acb smaller

Step-by-step explanation:

if you picture the triangle in your head that probably would help

If we take point C closer towards point B, then  ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.

Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.

Here Given in the question that Point C is movable and it moves towards point B.

If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same.  Therefore ∠ABC will remain the same.

If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.

If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.

Therefore if we take point C closer towards point B, then  ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.

If we take point C far from point B, then the thing will be reversed except ∠ABC.

Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.

Learn more about the angle

here: https://brainly.com/question/788198

#SPJ2

Answer:

incomplete question

Step-by-step explanation:

The length of James' rectangular yard is 96 inches. To find the length of James' rectangular yard in inches, we need to use the perimeter formula, which is given as p = 2l + 2w. In this case, the perimeter is 20 feet.

Since 1 foot is equal to 12 inches, we can convert the perimeter to inches: 20 feet * 12 inches/foot = 240 inches.
We also know that the width of the yard is 2 feet, so we can convert it to inches: 2 feet * 12 inches/foot = 24 inches.
Now, we can substitute the values into the perimeter formula: 240 inches = 2l + 2 * 24 inches.
Simplifying the equation: 240 inches = 2l + 48 inches.
Subtracting 48 inches from both sides: 192 inches = 2l.
Dividing both sides by 2: 96 inches = l.
Therefore, the length of James' rectangular yard is 96 inches.
The length of James' rectangular yard is 96 inches.
To find the length of James' rectangular yard in inches, we can use the perimeter formula, which is given as p = 2l + 2w. In this case, the perimeter of his fence is 20 feet.

To convert the perimeter to inches, we need to multiply it by the conversion factor of 12 inches per foot.

So, 20 feet * 12 inches/foot = 240 inches. Next, we can find the width of the yard, which is given as 2 feet.

Again, we can convert it to inches by multiplying by 12 inches per foot: 2 feet * 12 inches/foot = 24 inches.

Now, we can substitute the values into the perimeter formula: 240 inches = 2l + 2 * 24 inches.

Simplifying the equation gives us 240 inches = 2l + 48 inches. To isolate the variable, we subtract 48 inches from both sides: 192 inches = 2l.

Finally, dividing both sides by 2 gives us the length of James' rectangular yard in inches: 96 inches.
Therefore, the length of James' rectangular yard is 96 inches.

To Know More about inches visit:

brainly.com/question/32203223  

#SPJ11

Answer:

Step-by-step explanation:

multiply .20 with 40

which gets you 8

subtract 8 from 40

which is 32

multiply .05 with 32

which is 1.6

subtract 1.6 from 32 which gets you $30.40

Answer:

Width=3 cm

Length=5 cm

A correlational result can be used to infer causality, but only if the value of r is greater than 0.

To learn more about infer causality refers to:

brainly.com/question/30512143

#SPJ4

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Their experimental design was Independent variable was contact plates placed on the tile for less than 5 seconds. Option D is the correct answer.

The independent variable is the factor that is being manipulated by the experimenter. In this case, the experimenter is manipulating the length of time the plates are on the tiles. The dependent variable is the factor that is being measured by the experimenter. In this case, the experimenter is measuring the amount of bacteria on the plates.

The control is a group of subjects that are not exposed to the independent variable. In this case, the control group is the floor tiles that have been inoculated with chicken broth. The control group is used to compare the results of the experimental group, which is the group of plates that have been dropped on the tiles.

The standardized variables are the factors that are kept the same for both the experimental group and the control group. In this case, the standardized variables are the type of food, the surface of the tiles, and the temperature of the room. These factors are kept the same so that the only difference between the two groups is the length of time the plates are on the tiles.

This experimental design is a well-controlled experiment because the experimenter has taken steps to ensure that the only difference between the two groups is the length of time the plates are on the tiles. This will allow the experimenter to make accurate conclusions about the effect of the independent variable on the dependent variable. Option D is the correct answer.

For such more question on variable:

https://brainly.com/question/28248724

#SPJ8

The following question may be like this:

The Myth busters conducted an experiment to test the five second rule. Which of the following represented their experimental design?

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

Learn more about ”confidence interval” here:

brainly.com/question/32546207

#SPJ11

Answer:

First graph (see below)

Step-by-step explanation:

The graph of the arctan(x) is the first graph attached, see below. This is because if you were to plug in the equation in any TI calculator, you would get this graph.

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Robin and John were hbu g an archery contest. Johns arrow shot high while Robins arrow shot low. If the angle between the arrowheads on the right side of the intersection was A. 90

B. 84

C. 114

D. 66✓

Answer:

m∠1 = 90°

Step-by-step explanation:

Since the line is tangent to the circle, it creates a perpendicular bisector with the diameter. That means that the m∠1 has to be 90°

Answer:

x = -8 + sqrt(10) and x = -8 - sqrt(10)

Step-by-step explanation:

The quadratic equation to be solved is:

2(x + 8)² + 9 = 29

First, we need to simplify the left-hand side of the equation by expanding the squared term:

2(x + 8)(x + 8) + 9 = 29

Simplifying further, we get:

2(x² + 16x + 64) + 9 = 29

Distributing the 2, we get:

2x² + 32x + 128 + 9 = 29

Combining like terms, we get:

2x² + 32x + 137 = 29

Subtracting 29 from both sides, we get:

2x² + 32x + 108 = 0

Dividing both sides by 2, we get:

x² + 16x + 54 = 0

We can solve this quadratic equation by factoring or by using the quadratic formula :

The equation presented is a quadratic equation in standard form, ax² + bx + c = 0, where a = 1, b = 16, and c = 54. To solve this equation, we can use the quadratic formula, x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in the values, we get x = (-16 ± sqrt(16² - 4(1)(54))) / 2(1) = (-16 ± sqrt(16)) / 2 or (-16 ± 2sqrt(10)) / 2. Simplifying, we get x = -8 ± sqrt(10). Therefore, the two solutions to this equation are x = -8 + sqrt(10) and x = -8 - sqrt(10).

Answer:

\(103^{\circ}\)

Step-by-step explanation:

\(\angle HFG\) and \(\angle BCD\) are alternate exterior angles.

Answer:

x = -5

Step-by-step explanation:

Angles "50" and "x+55" are alternate interior angles which means that they are the same.

So 50 = x + 55

That leaves you with x = -5

y = 30x

Calculate  the number of gallos of water used to water trees i'd 30 times the number of trees.

Let's take,

Number of gallons = y

Number of trees = x

Then, according to the problem,

Number of gallons = 30*(Number of trees)

So….. y = 30*x

y = 30x

To learn more about water tree, visit;

https://brainly.com/question/28351285

#SPJ4

The equation of the tangent to the curve at the point corresponding to the given value of the parameter for x = sin(6t) + cos(t) and y = cos(6t) − sin(t)

t = t0 can be obtained by the following method:

The first step is to differentiate the given equations of x and y with respect to the parameter t. Let's differentiate x with respect to t:

x = sin(6t) + cos(t)⇒ dx/dt = 6 cos(6t) - sin(t) ----------(1)

Similarly, differentiating y with respect to t:

y = cos(6t) - sin(t)⇒ dy/dt = -6 sin(6t) - cos(t) ----------(2)

The next step is to find the values of x and y at t = t0:

x(t0) = sin(6t0) + cos(t0) and y(t0) = cos(6t0) − sin(t0)

Since the point corresponding to the given value of the parameter is known, the values of x and y can be easily calculated.

We can also obtain the values of dx/dt and dy/dt at t = t0

using equations (1) and (2).Let m be the slope of the tangent at the point t = t0. We know that m = dy/dx.

Therefore, we can calculate m using the values of dx/dt and dy/dt at t = t0.

m = dy/dx = (dy/dt) / (dx/dt) = [(-6 sin(6t0) - cos(t0))] / [6 cos(6t0) - sin(t0)]

Now, the equation of the tangent at the point (x(t0), y(t0)) with slope m is given by the point-slope form of the equation:

y - y(t0) = m(x - x(t0))

Substitute the values of x(t0), y(t0) and m in the above equation to obtain the equation of the tangent.

To know more about point-slope visit:

https://brainly.com/question/837699

#SPJ11