A principal records the lunch choices for 7th grade for a day. Of the 160 students, 21 brought their lunch from home, 103 purchased lunches, and 36 brought a lunch from home and purchased an ice cream.

Are the lunch choices equally as likely? Justify your answer by calculating the probability of each lunch choice

Answer:

Yes

Step-by-step explanation:

Let's pick 2 bionomials for this proof.

(3x+4) and (2x-4)

If we subtract (2x-4) from (3x+4) we will be left with x to the first power, which is a monimal.

So yes, you can subtract a binomial from another binomial and get a monomial.

Hope this helps!

Answer:

Step-by-step explanation:

Subtract 4 from both sides

y - 4 = 3(x+2)^2

Divide 3 from both sides

(y-4)/3 = (x+2)^2

Square root both sides

SQRT((y-4)/3) = x + 2

Subtract 2 from both sides

x = SQRT((y-4)/3) - 2

Hope this helps

Answer:

14

Step-by-step explanation:

101.4^0.5 = 10.0697 etc

it says estimate so I'm going to round that to 10

6.43^0 Anything with an exponent of 0 = 1

7.99^(2/3) = 3.9966 etc you can round that to 4

Put in the values:

10 + 1 × 4

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

We have to multiply 1 × 4 which is 4

We're left with 10 + 4 which is 14

Answer:

14

Step-by-step explanation:

[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]

[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]

2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

Answer:

D

Step-by-step explanation:

Consecutive integers are integers with the progression n, n+1, n+2 (EXAMPLE)

Since w, x, y are consecutive integers, that means w, w+1, w+2; x = w+1, y = w+2

By referring to D,

w + x + y = w + w+1 + w+2

= 3w + 3

Hence, D is true.

Answer:

D

Step-by-step explanation:

A is wrong because if w is -1, x is 0, and y is 1, then wy is negative.

B is wrong because if w is -1, x is 0, and y is 1, then -1 + 1 = 0, which is x.

C is wrong because if w is -1, x is 0, and y is 1, then w³ + 3 = -1 + 3 = 2, which is greater than w + x + y which is 0.

D is correct because w + x + y is always equal to 3w + 3. For example, if w is 1, x is 2, and y is 3, then w + x + y = 6. 3w + 3 = 3(1) + 3 = 6.

E is wrong because if w is 1, x is 2, and y is 3, then wx is 2 and xy is 6, which means xy is greater than wx.

I hope this helps and please mark me as brainliest!

The feet per minute that John is travelling down 195 is 4840 feet per minute.

Average speed is the total distance travelled per time. It is determined by dividing total distance travelled by total time.

In order to convert 55 miles per hour to feet per minute, we have to know the unit of conversion :

1 mile = 5280 feet

1 hour = 60 minutes

55 x (5280 / 60) = 4840 feet per minute

To learn more about average speed, please check: https://brainly.com/question/21734785

median is 16 ducky quack

Answer:

16

Step-by-step explanation:

Median, also known as the "middle" value in a data set. To be able to find the median, your data needs to be in numerical order.

Quiz scores:

9, 13, 20, 15, 18, 17

Arrange in numerical order:

9, 13, 15, 17, 18, 20

Find the "middle" value:

9, 13, 15, 17, 18, 20

When there are two middle values, you add them up and divide it by 2.

15 + 17 = 32

32/2 = 16

Therefore, the median, "middle" value of this student's quizzes is 16.

Hope this helps!

Answer:

x = 45.79°

Step-by-step explanation:

You can use sin Θ to find the value of x.

Let us find it now.

Sin x = Opposite / Hypotenuse

Sin x = 38 / 53

Sin x = 0.7169

x = Sin ⁻¹ 0.7169

x = 45.79°

Answer:

x = 17

Step-by-step explanation:

3x - 1 / 5 = 10

3x - 1 = 5 * 10

3x = 50 + 1

x = 51/ 3

x = 17

Answer:

can you post the question I don't understand

Step-by-step explanation:

10/100×3950

=395

3950+395

=4345

Answer:

Ans: n−√5

Step-by-step explanation:

The four angles of a quadrilateral are  30°, 60°, 150°, and 120°  if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Learn more about the quadrilateral here:

brainly.com/question/6321910

The four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Step-by-step explanation:

Answer:

the original price should be 3.70 beacause ur basically subtracting That's all

5(p+5) + 6(p+6)

First step: Distribute  (PEMDAS --> Parenthesis)

5p + 25 + 6p + 36       Now, combine like terms

11p + 61

Thus, the answer is 11p + 61

[tex]5(p+5)+6(p+6)\\\\=5p+25+6p+36\\\\=11p+61[/tex]

Answer:

Step-by-step explanation:

Use tigonometry to find the value of d

Answer:

497 m (nearest whole number)

Step-by-step explanation:

As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.

Sine trigonometric ratio

   [tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

From inspection of the given diagram:

Substitute the values into the formula and solve for d:

[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]

[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]

[tex]\implies \sf H=497.0263891...[/tex]

Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).

Answer:

[tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex]

Step-by-step explanation:

Here is a fact to remember. A hexagon is always made up of 6 equilateral triangles.

So if the perimeter of the Hexagon is 12 cm, then each side is 2 cm.

The area of an equilateral triangle is [tex]\frac{s^{2}\sqrt{3} }{4}[/tex].

So plugging in 2 gets us the area of one triangle.

s = 2

[tex]2^{2}\sqrt{3}/4 = \sqrt3[/tex]

The area of 6 triangles will be [tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex].

Answer:

The answer is D.) What must be true

Step-by-step explanation:

Deduction is a phrase that refers to drawing conclusions based on a well-established premise. This is when you use logic to assess points based on a set of rules and conditions. You describe how the scenario might follow the rules. As a result, there is no incorrect deduction. If you evaluate it and find it to be true, it must be correct. I hope this helps! ^-^

Use the distributive property:-

4(2x-1)

8x-4

8x-4+3=8x+1

8x-8x-4+3=1

8x-8x-1=1

0-1=1

-1=1

Wait, what? -1 is equal to 1?

Hence, the equation has no solutions.

Hope it helps :)

Answer:

y= .5x+2

Step-by-step explanation:

Slope= 2/4 (rise over run) = .5

B/ y intercept = 2

y=.5x+2

Answer:

a = 51°

b = 67°

Step-by-step explanation:

Angle a is equal to 51 since it is vertically opposite to the angle on top of it.

Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:

a+b+62=180

51+b+62=180

b= 180-(51+62)

b= 180-113

b= 67

Answer:  C

Step-by-step explanation:

We know that A and D will not be the correct answers. For A, it's only one 90 angles, but the questions said that has two angles. For D, it's two angles  : 90 and 12, but in the question, 12 is the length, not the angle.

The correct answer is C.

Answer:

x= 5× 17

= 85milimetres

y= 65÷ 5

=13milimetres

Solving the system of equations, it is found that the before-tax price of a chicken dinner is of $15.5.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The system is given by:

27c+ 17s = 809.50

46c + 34s = 1,495.00

Multiplying the second equation by -0.5 and adding with the first we can remove s, hence:

27c+ 17s = 809.50

-23c - 17s = -747.50.

4c = 62.

c = 62/4.

c = 15.5.

The before-tax price of a chicken dinner is of $15.5.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answers:

Part 1

16. Nominal

17. Nominal

18. Nominal

19. Nominal

20. Nominal

21. Continuous

22. Continuous

23. Continuous

24. Continuous

25. Continuous

Part 2

26. Discrete

27. Continuous

28. Discrete

29. Discrete

30. Ordinal

31. Ordinal

32. Nominal

33. Ordinal

34. Ordinal

35. Nominal

=========================================================

Explanation:

A nominal variable is one where usually a name is attached to it, instead of a number. Something like "mood" is nominal because it takes on the options of "happy", "sad", "angry", etc which are all non-numeric names. We can't do math on them. The same goes for colors, blood type, dog breed, nationality, and month names.

An ordinal variable is one where we can rank the names but we can't exactly do math on them. An example of this would be pain severity (from "no pain" to "in extreme pain") since we can rank and order the pain levels in a natural order. Another example is satisfcation rating, rank in class, and clothing sizes.

A discrete variable is one that takes on finitely many values between two endpoints. Usually (but not always) discrete values are whole numbers. When it comes to counting the number of people or objects, we turn to a discrete variable. With discrete variables, it doesn't make sense to have a midpoint between say 1 and 2 because we cannot have 1.5 of a person.

A continouous variable is one where we can pick any real number in a given interval. Midpoints make sense here now because we can select the midpoint of say 1 and 2 to get 1.5; an example of a continuous variable is someone's height, wind speed, water temperature, or the voltage of electricity.

[tex]\sf\huge\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] As we know that,

[tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

[tex]\rightarrow[/tex][tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](putting the value of both given side of triangle)

[tex]\rightarrow[/tex] [tex]\sf{9^2 +B^2 \:=\: 16^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{81 +B^2 \:=\: 256}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 256-81}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 175}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B \:=\: \sqrt{175}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B\:=\: 13.22(approx)}[/tex]

Therefore, measure of another side (leg) of the triangle = [tex]\sf\purple{ 13.22(approx).}[/tex]

____________________________________

Hope it helps you:)

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.