suppose that 7 out of 8 dentists recommend mintyfresh toothpaste. from a sample of 170 dentists, how unusual would it be to have more than 153 of them recommend mintyfresh toothpaste?

The new digital camera that creates photos that are best printed at 4 inches by 6 inches will minimize.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Since the aspect ratio of 4:6 is closer to that of an 11-inch by 14-inch frame (which is approximately 1:1.5) than the aspect ratio of 3.5:5 (which is approximately 7:10).

By minimizing the difference in aspect ratio between the photo and the frame, you will minimize the loss of the edges of the picture when trying to fit it into the frame.

The new digital camera that creates photos that are best printed at 4 inches by 6 inches will minimize the loss of the edges of the picture when trying to fit it into an 11-inch by 14-inch frame.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

The estimated product is  6000

What is estimation?

To make calculations simpler and more realistic, estimation of a number refers to a plausible assumption of the actual value.

Estimation is the process of approximating a quantity with the necessary accuracy.

The result is quickly and roughly determined by rounding off the numbers used in the calculation.

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.

598 ≈ 600

9≈ 10

600*10

= 6000

The estimated product is  6000

To learn more about estimation from the link

https://brainly.com/question/28416295

#SPJ1

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

Learn more about point system  from

https://brainly.com/question/26668636

#SPJ1

Answer:

-16r^2 - 10r

Step-by-step explanation:

all you got to do is distribute

The Advanced Encryption Standard (AES) is a symmetric encryption algorithm that has a block size of 128 bits. AES is used to encrypt sensitive data like passwords, credit card numbers, and other personal data.

Here's the answer to the question given:

Given values:

\(Plaintext = {0FOEODOCOBOA09080706050403020100}\)

\(Key = {02020202020202020202020202020202}\)

Solution:

First, we'll create a State array using the given plaintext.

State array is a 4x4 matrix.

\(State array (S) = 0F OE OD OC BO A0 90 80 70 60 50 40 30 20 10 00\)

Next, we'll apply the AddRoundKey transformation to the State array.

AddRoundKey:

In this step, the bits of the State array are XORed with the bits of the key to produce a new State array.

The AddRoundKey transformation is performed in the first round of AES and is repeated in every round thereafter.

For this example, we'll use the given key.

Key array is also a 4x4 matrix.

\(Key array (K) = 02 02 02 02 02 02 02 02 02 02 02 02 02 02 02 02\)

The State array is XORed with the Key array to produce the new State array.

\(State array (S) = 0F XOR 02 = 0D OE XOR 02 = OC OD XOR 02 = 0F OC XOR 02 = 0E A0 XOR 02 = A2 90 XOR 02 = 92 80 XOR 02 = 82 70 XOR 02 = 72 60 XOR 02 = 62 50 XOR 02 = 52 40 XOR 02 = 42 30 XOR 02 = 32 20 XOR 02 = 22 10 XOR 02 = 12 00 XOR 02 = 02\)

The value of State after initial AddRoundKey is:

\(0D OC 0F 0E A2 92 82 72 62 52 42 32 22 12 02\),

which is the output of the AddRoundKey transformation.

To know more about algorithm visit:

https://brainly.com/question/33344655

#SPJ11

Answer:

5 * 8 + 48

= 88

Step-by-step explanation:

a. The equation that both services would cost the same is

0.25x + 5 = 0.35x + 2.

b. The weight of Mr. Molinary's package is 30 ounces.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce.

United Packages charges $2 plus $0.35 per ounce.

Assuming the no. of ounces to be x.

∴ 0.25x + 5 = 0.35x + 2.

0.25x - 0.35x = 2 - 5.

- 0.1x = - 3.

x = 3/0.1

x = 30 ounces.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

Step-by-step explanation:

Sure it is

Answer:

You are right it is not a triangle

Answer:

----------------------------------------------

The differential equation describing the cell phone sales is \(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\).

Based on the given information, the cell phone sales growth is logistic, with a carrying capacity of 100 thousand units. When 28 thousand cell phones have been sold, the rate of sales increase is 10 thousand units per month.

The logistic growth differential equation is given by:

\(\frac{dy}{dt} = k \cdot y(t) \cdot \left(1 - \frac{y(t)}{M}\right)\)

where dy/dt is the rate of change in sales, y(t) is the number of cell phones sold after t months, k is the growth rate, and M is the carrying capacity.

In this case, y(t) = 28, dy/dt = 10, and M = 100. To find k, we can plug these values into the equation:

10 = \($k \cdot 28 \cdot \left(1 - \frac{28}{100}\right)$\)

Solving for k:

k ≈ 0.5357

Therefore, the differential equation describing the cell phone sales is:

\(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\)

Learn more about differential equation: https://brainly.com/question/18760518

#SPJ11

The answer reads "40," is the correct response to the earlier question.

What is median ?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simple to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the centre of a sequence to determine its value.

There are data of 9 students and we need to arrange them in ascending order to find our answer.

So, the arrangement looks like the following:

⇒ 25, 35, 45, 50, 60, 80, 90, 95, 100

We are aware that

In all cases, the middle value is the median.

Therefore, it is safe to say that the Median of the aforementioned arrangement is 60.

Hence, Median of the numbers on the left of the median is 60=35+45/2 = 40

Learn more about median, by the following link

https://brainly.com/question/14532771

#SPJ1

Hello!

First of all, let's remember when a relation is also a function:

• To be a function, it must follow two rules:

• All elements in the domain has a range.

• Each element in the domain has only one range.

The wonderful waffle cone holds more ice cream than super sundae cone.

In this question,

The ice cream cone is the shape of hemisphere at the top and cone shape at the bottom.

Volume of ice cream cone = volume of hemisphere + volume of cone

Volume of ice cream cone = \(\frac{2}{3}\pi r^{3} +\frac{1}{3} \pi r^{2} h\)

Volume of super sundae cone:

Radius of hemisphere = height of hemisphere = 0.5 in

Depth of the ice cream cone = 4 in

Volume of super sundae cone = \(\frac{2}{3}\pi (0.5)^{3} +\frac{1}{3} \pi (0.5)^{2} (4)\)

⇒ \(\frac{2}{3}(3.14)(0.125) +\frac{1}{3} (3.14)(0.25)(4)\)

⇒ 0.2616+1.0466

⇒ 1.3082 ≈ 1.31 cubic in.

Volume of wonderful waffle cone:

Radius of hemisphere = height of hemisphere = 0.9 in

Depth of the ice cream cone = 3 in

Volume of wonderful waffle cone = \(\frac{2}{3}\pi (0.9)^{3} +\frac{1}{3} \pi (0.9)^{2} (3)\)

⇒ \(\frac{2}{3}(3.14)(0.729) +\frac{1}{3} (3.14)(0.81)(3)\)

⇒ 1.526+2.5434

⇒ 4.0694 ≈ 4.07 cubic in.

Thus volume of wonderful waffle cone > volume of super sundae cone.

Hence we can conclude that the wonderful waffle cone holds more ice cream than super sundae cone.

Learn more about volume of ice cream cone here

https://brainly.com/question/22298786

#SPJ4

Answer:

13/13.3 or 10

Step-by-step explanation:

You said she paid $10 to join, if she spent at least $40, then we subtract 10, then divide 30 by 3 then you would get 10.

If we don't have to subtract and she spent around $40 on only books, it would be 13/13.3

Answer:

The common factor of 1,50,000 and 50,000 is 1

Hi!

I can help you with joy!

Answer:

1, 2, 5, 10, 20, 25, 50, 100, 1,000...

Hope it helps.

Do comment if you have any query regarding my answer.

~Misty~

Answer:

5/2; 5

Step-by-step explanation:

The first box is m, which is the slope. To find the slope you do rise over run, so basically the change in x and y. You move up 5 and over 2, so m would be 5/2.

The second box is b, which is the y-intercept. To find the y-intercept, you just find where the line crosses the y-axis. That would be 5

The positive value of c that makes the function f(x) = xe^(-x)ce^(-x) have an absolute minimum at x = -5 is approximately 16.05.

To find the value of c that gives an absolute minimum at x = -5, we need to analyze the behavior of the function. First, we differentiate f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -x^2e^(-2x)ce^(-x). Setting f'(x) = 0 and solving for x, we find x = 0 as a critical point.

However, we are interested in finding the value of c that results in an absolute minimum at x = -5. Plugging x = -5 into f(x), we get f(-5) = -5e^(5)c^(-5)e^(5). Since e^5 is positive, to minimize f(-5), c should be as large as possible. Taking the limit as c approaches infinity, we find that f(-5) approaches 0.

Therefore, c should be a large positive value. Calculating the exact value, we find c ≈ 16.05 gives an absolute minimum at x = -5 for the function f(x).

Learn more about derivative here:

https://brainly.com/question/29020856

#SPJ11

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

Find out more information about geometric sequence here:

brainly.com/question/11266123

Answer:

3,-3 on x axis

Step-by-step explanation:

Answer:

x = -1/2

Step-by-step explanation:

The measure of the arc BC using the congruency of central angle and intercepted arc is 85°.

Given a circle.

Also given that,

Measure of arc AE = 70°

Also, m ∠BDC = 85°

Now, ∠BDC is the central angle corresponding to the intercepted arc BC.

central angle and intercepted arc are congruent.

So, m arc BC = 85°

Hence the required measure is 85°.

Learn more about Central Angles here :

https://brainly.com/question/29018087

#SPJ1

Answer:

y=10x+55

Step-by-step explanation:

First, you need to find the slope.

y2-y1/x2-x1

-5-5/-6+5=-10/-1=10

Now, we substitute one of the points for the values in y=mx+b

y=10x+b

5=10(-5)+b

5=-50+b

55=b

The full equation is y=10x+55

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database (A-5). an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24. find the probability that the number of people in the sample who have been told that hypertension will be: a) Exactly three (b) Three or more (c) Fewer than three (d) Between three and seven, inclusive

Solution:

This is a binomial probability distribution. If an adult is selected randomly, the outcome is either he has been told that he has hypertension or he has not been told. The probability of success, p would be that a randomly selected adult, x has been told. Therefore,

p = 0.24

n = 20

a)We want to determine P(x = 3). From the binomial probability distribution calculator,

P(x = 3) = 0.15

b) P(x ≥ 3) = 0.89

c) P(x < 3) = 0.11

d) P(3 ≤ x ≤ 7)

It would be P(x ≤ 7) - P(x ≥ 3)

P(x ≤ 7) = 0.92

Therefore,

P(3 ≤ x ≤ 7) = 0.92 - 0.89 = 0.03

Given sin 0 = 0.3.

To find the value of sin 0 + sin (0 + 2x) + sin (0 + 4x).

We know that sin (A + B) = sin A cos B + cos A sin B

Using this formula,

we can write, sin (0 + 2x)

= sin 0 cos 2x + cos 0 sin 2x

= 0.3 cos 2x

Similarly, sin (0 + 4x)

= sin 0 cos 4x + cos 0 sin 4x

= 0.3 cos 4x

Now, substituting the above values in sin 0+ sin (0+2x) + sin (0+4x),

we get= sin 0 + 0.3 cos 2x + 0.3 cos 4x

= 0.3 + 0.3 cos 2x + 0.3 cos 4x

= 0.3 (1 + cos 2x + cos 4x)

Answer: sin 0+ sin (0+2x) + sin (0+4x)

= 0.3 (1 + cos 2x + cos 4x).

To know more about value visit :

https://brainly.com/question/1578158

#SPJ11

Answer:

15

Step-by-step explanation:

because 15 times 6 equals 90

hope this helps:)

The length of the rectangular shelf will be 15 inches.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the surface of the shelf has an area of 90 square inches. The width of the shelf is 6 inches.

The length of the shelf will be calculated as below:-

Area = Length x Width

90 =  Length x 6

Length = 90 / 6

Length = 15 inches

Therefore, the length of the rectangular shelf will be 15 inches.

To know more about the area of the rectangle follow

https://brainly.com/question/25292087

#SPJ2

Answer:< RSC

Step-by-step explanation:

The angle has a measure equal to the sum of m <SQR and m <QRS is

m <RSC.

The correct option is A.

We have the information from which we can write

<SQR and < QRS are two interior angles of triangle QRS

Then, m<QSR = 180 - (sum of other 2 angles)

m<QSR = 180 - (m<SQR + m<QRS) (Angle sum property)

Also, m<RSC = 180 - m<QSR

Then <RSC = (m<SQR + m<QRS)

Thus, the ideal solution is A.

Learn more about Angle Sum Property here:

https://brainly.com/question/11596981

#SPJ7

a) The histogram for the data is illustrated below.

b) The cumulative percentage polygon is define in the histogram

c) The amount does the monthly electricity cost seem to be concentrated is 128 - 152

A histogram is a graphical representation of a frequency distribution. It consists of a set of bars that represent the frequency of data within certain intervals, also known as bins. The height of each bar represents the frequency or count of data points that fall within that bin.

To create a histogram for the electricity cost data, we need to first decide on the number and size of the bins. One common rule is to choose the number of bins as the square root of the sample size. In this case, we have 50 data points, so we can choose about 7 bins. The size of the bins can be determined by dividing the range of the data by the number of bins.

Once we have determined the number and size of the bins, we can create the histogram by drawing a set of bars with heights proportional to the number of data points that fall within each bin. The histogram can be further enhanced by adding labels for the x and y-axes, a title, and a legend.

As per the histogram, the amount does the monthly electricity cost seem to be concentrated is 128-152

To know more about histogram here.

https://brainly.com/question/14421716

#SPJ4