Harriet buys lunch at school every day. She always gets
pizza when it is available. The cafeteria has pizza about 80% of the time.

Harriet runs a simulation to model this using a random
number generator. She assigns these digits to the possible outcomes for each day of the week:

• Let 0 and 1 = no pizza available

• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available

The table shows the results of the simulation.

Group number
Random digits
1: 19223
2: 73676
3: 45467
4: 52711
5: 95592

Group number
Random digits
6: 68417
7: 82739
8: 60940
9: 36009
10: 38448

What is the estimated probability that Harriet will eat pizza for lunch
every day next week?

A. 7/10 = 70%
B. 4/10 = 40%
C. 5/10 = 50%
D. 0/10 = 0%

Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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Answer:

The slope is 9

The y intercept is (0,7)

Step-by-step explanation:

y=9x+7

The equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 9

The y intercept is (0,7)

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Answer: g=1.2

Step-by-step explanation:

Answer:

I don't get what you're asking for

Step-by-step explanation:

I don't know.

A conditional statement to demonstrate the situation presented would be: If a person can vote -> Then they are over 18 years old. An alternative to this would be: If a person is 18 years or older -> Then they can vote in the United States elections.

A conditional statement is a type of structure to express the relationship between two dependent variables. Its structure is as follows:

According to the above, two conditional statements about voting in the United States would be:

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Answer:

The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.

Step-by-step explanation:

a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.

Answer:

2.2785 this is most likely to be the answer

The expression 8x + 4y is not equivalent to 4(2x + 1). Therefore, 8x + 4y = 4(2x + y)

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Equivalent expressions are expressions that have similar value or worth but do not look the same.

Let's determine whether the expression 8x + 4y is equivalent to 4(2x + 1).

Let's factorise to know whether the expressions are equivalent.

Therefore, using the common factors,

8x + 4y = 4(2x + y)

Hence, the expression are not equivalent .

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The departments that account for one-fourth of the annual budget are sales, engineering and research departments

The pie chart that completes the question is added as an attachment.

From the attached image, we can see that each of the sales, engineering and research departments take 1/4 of the pie chart

Hence, the departments that account for one-fourth of the annual budget are sales, engineering and research departments

In (a), we have:

Engineering = 1/4 or 25%

From the graph

Support = 1/8 or 12.5%

So, the combined percentage is:

Combined = 25% + 12.5%

Evaluate

Combined = 37.5%

Approximate

Combined = 40%

In (a), we have:

Engineering = 1/4 or 25%

From the graph

Support = 1/8 or 15%

So, the combined percentage is:

Combined = 25% + 15%

Evaluate

Combined = 40%

From the graph;

Media = 1/3 of support.

So, we have:

Media = 1/3 of 15%

Evaluate

Media = 5%

Hence, the annual budget of media is 5%

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Answer:

I believe  D is the answer to the question above.

Step-by-step explanation:

Answer: pretty sure its D

Step-by-step explanation:

Answer:  A .48.29  min

Step-by-step explanation:

Answer:

3 x 3/12 x 2/11 x 9/10

Step-by-step explanation:

Answer:

A. x>-12

Step-by-step explanation:

-2x/3+7<15  Subtract 7 on both sides.

         -7  -7

-2x/3<8       -2x/3 is equal to -2/3x, so you can simplify to that.

-2/3x<8       Because you have to isolate x, multiply by the reciprocal of the          

*-3/2  *-3/2  fraction. This will divide by -2/3 on both sides.

x>-12            Remember, because you multiplied by a negative, you have to flip the inequality sign.

Hope this helps you! Have a nice day c:

Answer:

sqrt28, 32/7, cubrt58

Step-by-step explanation:

It says to order "greatest to least" so that means the biggest number goes first, then smaller next, and the smallest goes last.

sqrt25 is 5 and sqrt28 would be a little bigger, so 5.something. (you can find exactly on a calculator, but we don't need exact)

28/7 is 4 and 35/7 is 5. So 32/7 is in between, so like 4.something.

cuberoot27 is 3 and cuberoot64 is 4. So cuberoot58 is in between, it is 3.something.

So in order from big to small is

5...

4...

3...

which is

sqrt28,

32/7

cubrt58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

It is the order of the numbers in which the biggest number comes first and then followed by the next number and then the last number will be the smallest one.

Order cube root of fifty-eight, thirty-two over seven, square root of twenty-eight from greatest to least.

∛58, 32/7, and √28

The expression is converted into decimal form, then we have

∛58, 32/7, and √28

3.87, 4.57, and 5.29

Then the order of the numbers from greatest to least will be

√28 > 32/7 > ∛58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

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Answer:

Hi

please mark brainliest ❣️

Thanks

Step-by-step explanation:

10 + x / 3 = 12

Cross multiply

10 + x = 12× 3

10 + x = 36

Collect like terms

x= 36 - 10

x = 26

Answer:

2.5

Step-by-step explanation:

you cut the diameter in half and it's 5 so do the math

Answer: .625 then 3/24

Step-by-step explanation:

3 divided by 24 is .125 which is closer to zero than .625 which makes it greater

Answer:

from greater to less

0.625 & 3/24

Step-by-step explanation:

you want to convert 3/24 to a decimal which is 0.125 which is less that 0.625.

Answer:

24

Step-by-step explanation:

the negatives cancel each other out

Answer:

TRUE

Step-by-step explanation:

using the given data for the one way commuting of workers we can conclude that the spread is = 0.458493468

hence the correct option is TRUE

One way commuting is traveling of passengers using a single lane in both directions

Answer:

DL/dt = 1000 miles/hour

Step-by-step explanation:

Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.

Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes

Then according to Pithagoras´theorem:

L²  =  (AO)²  + (BO)²

At the moment t when the airplanes are far away as 70 and 240 miles per hour

L²  = (70)²  + ( 240)²

L²  = 4900 + 57600

L = √62500

L = 250 miles

In general

L²  = x² + y²

That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:

L² = x² + y²        where x and y are the legs ( that legs change in time then):

Tacking derivatives on both sides of the equation

2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt

By substitution:    since Dx/dt = 280 m/h   and Dy/dt = 960 m/h

2*(250)*DL/dt = 2*70*280 + 2*(240)*960

500*DL/dt  =  39200 + 460800

DL/dt  =  500000/ 500

DL/dt = 1000 miles/hour

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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Answer:

Plato

Step-by-step explanation:

The line segment chosen is HI. Its image is H'I'. The slope of preimage HI is -1.25 and the slope of the image H'I' is -1.25.

The Scale Factor is used to scale shapes in different dimensions. We study different geometrical shapes in geometry, both two-dimensional and three-dimensional. The scale factor is a metric for comparing figures with similar appearances but differing scales or metrics.

The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. The image is scale factor times preimage.

A line passing through the points (x₁, y₁) and (x₂, y₂) will have a slope

m = (y₂ - y₁)/(x₂ - x₁).

We are asked to select a line segment other than LK, which is not a vertical or horizontal line segment, for the scale factor n = 3.

So, we have to select a preimage( other than LK), and its image (3 times the preimage).

So we select the preimage as HI and its image as H'I', as the scale factor between them is n = 3, and HI is not a vertical or horizontal line segment.

Now, we calculate their slopes.

For the preimage HI (slope is m₁):

HI passes through the points (2, 0) and (0, 2.5). Substituting these values in the slope formula, we get

m₁ = (2.5-0)/(0-2) = -2.5/2 = -1.25.

For the image H'I' (slope is m₂):

HI passes through the points (6, 0) and (0, 7.5). Substituting these values in the slope formula, we get

m₂ = (7.5-0)/(0-6) = -7.5/6 = -1.25.

∴ The line segment chosen is HI. Its image is H'I'. The slope of preimage HI is -1.25 and the slope of the image H'I' is -1.25.

NOTE: The slopes of images and preimages are always the same as the image is just an enlarged or diminished form of the preimage.

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Answer:

\(\displaystyle \frac{cd^6}{a^4b^2}\)

Step-by-step explanation:

\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)

Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.

Step-by-step explanation:

a‐⁴b‐²cd⁶

_______

e‐⁷

cd⁶e⁷

_____

a⁴b²

Answer:

D

Step-by-step explanation:

y = -0.04088x^2 + 0.4485x + 1.862

y is the amount of precipitation,

x is the month (1 for January, 2 for February, etc.)

The amount of precipitation from Jan to Dec are listed below

(generated with R language, a handy software)

2.26962 2.59548 2.83958 3.00192 3.08250 3.08132 2.99838 2.83368 2.58722 2.25900 1.84902 1.35728

The month with lowest precipitation is December

Answer:

D) December

Step-by-step explanation:

The given equation to model the monthly precipitation in Phoenix, Arizona is:

\(y = -0.04088x^2 + 0.4485x + 1.862\)

where:

To determine the month in which Phoenix received the lowest amount of precipitation, fill in the table by inputting each value of x into the equation. Round the value of y to 2 decimal places.

\(\begin{array}{|l|c|c|}\cline{1-3}&x&y\\\cline{1-3}\sf January &1&2.27\\\cline{1-3}\sf February &2&2.60\\\cline{1-3}\sf March &3&2.84\\\cline{1-3}\sf April &4&3.00\\\cline{1-3}\sf May &5&3.08\\\cline{1-3}\sf June &6&3.08\\\cline{1-3}\sf July &7&3.00\\\cline{1-3}\sf August &8&2.83\\\cline{1-3}\sf September &9&2.59\\\cline{1-3}\sf October & 0&2.26\\\cline{1-3}\sf November &11&1.85\\\cline{1-3}\sf December &12&1.36\\\cline{1-3}\end{array}\)

Reading from the table, the month in which Phoenix received the lowest amount of precipitation was December, when only 1.36 inches of precipitation was recorded.

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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