During their field trip the students had the following lunch options. For their main meal they had four options: Sandwich, Burger, Pizza and Chicken Tenders. For drinks their options was limited to two options Water and Gatorade. And for their side order they had two options: chips or fries. What is the probability than the next person will choose to have Chips for their meal?

Answer: 0.7

Step-by-step explanation: hope it helps

Answer:

0.7

Step-by-step explanation:

0.7

The symbol ∑ (sigma) is used to represent the sum of a set of numbers. This is very important notation in statistics.

If a hypothesis is correct, a set of data's standard deviation serves as a gauge of how rare it is. Standard deviations are expressed in units called sigma, or, by physicists. The findings are progressively inconsistent with the hypothesis as the number of sigma increases. The word's derivation is derived from the Greek letter "sigma," which is used in statistics to measure how much a process deviates from its mean or goal.

To express the total of a set of data or the total of a function over a specified range, it is frequently used in statistics and probability. For instance, if X is a collection of numbers, the term ∑X would stand for the collection's total. The symbol is typically followed by a variable, such as I indicating the range of the sum, for example, ∑i=1 to n for the summing from i=1 to i=n. The index I is frequently used to identify the individual components of the set.

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Answer:

14;50 hope this helps

Step-by-step explanation:

Answer:

y= .75x+5

Step-by-step explanation:

y is the total cost. x is the number of hours.

7.25= .75(3)+5

To find the probability that a pre-school child taking the swim class will improve their swimming skills, we can use the given information that only 5% of pre-school children did not improve. This means that 95% of pre-school children did improve.

So, the probability of a child improving their swimming skills is 95%. The probability that a pre-school child who is taking this swim class will improve their swimming skills is 95%. The given information states that in the past five years, only 5% of pre-school children did not improve their swimming skills after taking a beginner swimmer class at a certain recreation center. This means that 95% of pre-school children did improve their swimming skills. Therefore, the probability that a pre-school child who is taking this swim class will improve their swimming skills is 95%. This high probability suggests that the swim class at the recreation center is effective in teaching pre-school children how to swim. It is important for pre-school children to learn how to swim as it not only improves their physical fitness and coordination but also equips them with a valuable life skill that promotes safety in and around water.

The probability that a pre-school child taking this swim class will improve their swimming skills is 95%.

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Answer:

\(39.8^{\circ} C\)

Step-by-step explanation:

We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation

\(t(h)=10cos(15h-10)^{\circ}+30\)

Where h=Hour of the day with 0 meaning midnight

t=Temperature in degree Celsius

We have to find the temperature on October 1.

Substitute h=0

\(t(0)=10cos(15(0)-10)+30\)

\(t(0)=10cos(-10)+30\)

\(t(0)=39.8^{\circ} C\)

Hence, the temperature in Elma on October 1=\(39.8^{\circ} C\)

Answer:

check the settings if you will see the link

Answer:

20/27

Step-by-step explanation:

Answer:

No, it is a quadratic function.

Step-by-step explanation:

An exponential function has the variable as the exponent. 3^x would have been an example of an exponential function. In this function, the exponent is not variable, it is 2. Therefore this is a quadratic function, not an exponential one.

Answer: 5

Step-by-step explanation:

  8-2b=-2

8-2b-8=-2-8

    -2b=-10

-2b/-2=-10/-2

       b=5

Mary's dog weighs 400 ounces.

A unit conversion expresses the same property as a different unit of measurement.

Given that, Mary's dog weighs 25 pounds,

We know, 1 pound = 16 ounces

Therefore, 25 pound = 400 ounces

Hence, Mary's dog weighs 400 ounces

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Answer:

The slope is 0.5

Step-by-step explanation:

FIrst you do y2-y1/x2-x1

That makes it 6-3/2-(-4)

Simplified it's 6-3/2+4

6-3=3 and 2+4=6

So  you get 3/6=0.5

Answer:

the answer is 8.167

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

just replace the x and y with the given values like so (3)4+0.5(4)3=x and solve for the new x value

The required simplified solution of the given expression is 113.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= x⁴+ 0.5y³

Put x = 3 and y = 4
= 3⁴ + 0.5[4]³
= 81 + 0.5[64]
= 81 + 32
= 113

Thus, the required simplified solution of the given expression is 113.

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Let's solve for x first.

To find x, use the interior angles on same side of a transversal theorem.

The interior angles on sam side of a transversal are supplemantary angles, and supplementary angles sum up to 180 degrees.

Thus, we have:

(23x - 16) + (8x - 21) = 180

23x - 16 + 8x - 21 = 180

Combine like terms:

23x + 8x - 21 - 16 = 180

31x - 37 = 180

Add 37 to both sides:

31x - 37 + 37 = 180 + 37

31x = 217

Divide both sides by 31:

To find y, use the vertical angles theorem.

Vertical angles are congruent.

Thus we have:

7y - 23 = 23x - 16

Since x = 7, substitute x for 7 in the equation above to find y.

7y - 23 = 23(7) - 16

7y - 23 = 161 - 16

7y - 23 = 145

Add 23 to both sides:

7y - 23 + 23 = 145 + 23

7y = 168

Divide both sides by 7:

x = 7

y = 24

ANSWER:

x = 7

y = 24

6y = 3x have the same constant of proportionality as the ratio between quantities that are directly proportional to each other.

It is given to us that y = 1/2x

The constant of proportionality is the ratio between quantities that are directly proportional to each other. In this case, the constant of proportionality is the ratio of y to x.

since y = 1/2x, we have to find the ratio of y to x, that is, y/x = 1/2

Therefore, the constant of proportionality is 1/2

a) For 6y = 3x, when dividing through by 6x, it gives us:

= 6y/6x = 3x/6x

= y/x = 1/2

They have the same constant of proportionality.

therefore, we can say that, 6y = 3x have the same constant of proportionality as the ratio between quantities that are directly proportional to each other.

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Answer:

$0.84, 84 cents per pound.

Step-by-step explanation:

I hope that this helps. Have a good day!!

9.24 ÷ 11 = 0.84

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

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Answer:

Step-by-step explanation:

You are given three symbolic equations and one expression to evaluate using those symbols.

The equations can be written in standard form as ...

  7□ - 4∆ +12★ = 98

  11□ +3∆ = 208

  12□ = 168

These can be solved from the bottom up:

  □ = 168/12 = 14

  ∆ = (208 -11·14)/3 = 54/3 = 18

  ★ = (98 -7·14 +4·18)/12 = 72/12 = 6

The expression can be written using these symbol values. It becomes ...

  6·(18 +6 -14) +14·(6 +18/18) =

  6·(10) +14·(7) =

  60 +98 =

  158 =

The angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

We know that the rectangle has sides of length 4 ft and 5.5 ft, so we can use the Pythagorean Theorem to find the length of the diagonal \($BD$\):

\($$ BD^2 = 4^2 + 5.5^2 $$\)

\($$ BD^2 = 16 + 30.25 $$\)

\($$ BD^2 = 46.25 $$\)

\($$ BD = \sqrt{46.25} $$\)

\($$ BD = 6.8 \text{ ft (rounded to one decimal place)} $$\)

Now, we can use the Law of Cosines to find the angle between sides \($AB$\)and \($AD$\) in triangle \($ABD$\):

\($$ \cos(A) = \frac{BD^2 + AB^2 - AD^2}{2 \cdot BD \cdot AB} $$\)

\($$ \cos(A) = \frac{6.8^2 + 4^2 - 5.5^2}{2 \cdot 6.8 \cdot 4} $$\)

\($$ \cos(A) = 0.5471 $$\)

\($$ A = \cos^{-1}(0.5471) $$\)

\($$ A = 56.1^\circ \text{ (rounded to one decimal place)} $$\)

Similarly, we can use the Law of Cosines to find the angle between sides \($BC$\) and \($CD$\) in triangle:

\($$ \cos(B) = \frac{BD^2 + BC^2 - CD^2}{2 \cdot BD \cdot BC} $$\)

\($$ \cos(B) = \frac{6.8^2 + 5.5^2 - 4^2}{2 \cdot 6.8 \cdot 5.5} $$\)

\($$ \cos(B) = 0.7416 $$\)

\($$ B = \cos^{-1}(0.7416) $$\)

\($$ B = 42.5^\circ \text{ (rounded to one decimal place)} $$\)

Therefore, the angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

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Answer:

7

Step-by-step explanation:

70+16x-2

68+16x=180

16x=180-112

x=112/16

x=7

Answer:

x = 7

Step-by-step explanation:

70 + 16x - 2 = 180 degree (being co interior angle)

68 + 16x = 180

16x = 180 - 68

16x = 112

x = 112/16

x = 7

You can use the weight of the chocolate bar given and find its 54% to get the weight of cocoa used in it. The weight of cocoa in the given chocolate bar is 29.16 grams.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

a.b/100

Since weight of cocoa = 54% percent of chocolate bar's weight which is 54 gram,

Thus,

weight of cocoa = 29.16g

Thus,

The weight of cocoa in the given chocolate bar is 29.16 grams.

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The average value of the function over the interval of 0 to 5 to be 1 - e-5.

The average value of the function Y = e-x over the given interval of 0 to 5 can be determined by using calculus. We must first take into account the definition of average value. The average value in an interval is calculated by taking the integral of f(x)dx, or in this case, e-x from 0 to 5, and dividing that by the length of the interval, which is 5 in this example.

Using calculus, we can solve for the integral of e-x from 0 to 5. To solve this, we must first use the fundamental theorem of calculus, which states that if F is an antiderivative of f, then the definite integral of f from a to b is equal to the difference between the values of F at b and a. We can then use the integration by parts method to solve for the definite integral of e-x from 0 to 5. After applying this principle, we find that the integral is equal to 5 - e-5.

Once we have the integral, we can now find the average value of the function over the given interval of 0 to 5. As stated earlier, the formula for finding average value is to take the integral of Y = e-x from 0 to 5 and divide it by the length of the interval. As the length of the interval is 5, we can now divide the integral of 5 - e-5 by 5. Doing this, we find the average value of the function over the interval of 0 to 5 to be 1 - e-5.

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Answer:

C.) 8%

Step-by-step explanation:

75$ × 8% = 6

75 + 6 = 81

i added a picture from google for those who claim my answer is wrong

There were 40 tourist class passengers and 12 first class passengers.  

Explanation:

Let the number of passengers who booked for tourist class be

=

x

Then, number of passengers who booked for first class

=

52

−

x

According to question,

Total money paid = $25(tourist class)+$30(first class)  

$

1360

=

$

25

(

x

)

+

$

30

(

52

−

x

)

1360

=

25

x

+

1560

−

30

x

1360

−

1560

=

25

x

−

30

x

−

200

=

−

5

x

x

=

−

200

−

5

x

=

40

So, there were 40 tourist class passengers.

Now first class passengers

=

52

−

x

=

52

−

40

=

12

∴

There were 40 tourist class passengers and 12 first class passengers.  

As a check

Total money paid = $25(tourist class)+$30(first class)  

R

H

S

=

$

25

(

40

)

+

$

30

(

12

)

$

1000

+

$

360

=

$

1360

L

H

S

=

$

1360

Hence verified.

Answer:

expand from what expression?

Answer:

a, b, c and d stay the same.

e = 108\(y^{3}\)

f = \(x^{3} + x + 8\)

That's all.

I hope it helps!! ^-^

Answer:

a) 2

b) 3

c) 1

hope this helps :)

To calculate the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat, we need to know the hitter's batting average.

A batting average of 0.270 means that the hitter gets a hit in 27 out of every 100 at-bats. Therefore, the probability of getting a hit on any given at-bat is 0.270.

The probability of not getting a hit on a single at-bat can be calculated as 1 minus the probability of getting a hit. So, the probability of not getting a hit on a single at-bat for a 0.270 hitter is:

Probability of not getting a hit = 1 - Probability of getting a hit

Probability of not getting a hit = 1 - 0.270

Probability of not getting a hit = 0.730

Therefore, the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat is 0.730 or 73.0%.

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Answer:

Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

volume of the prism

(20×12×10)-(8×8×20)

2400-1280

1120 cm³

Answer:

37/12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

1/2w + 3

w = 1/6

Step 2: Evaluate