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netineya [11]
3 years ago
14

Angela wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each

of 200 randomly selected students in the school. What is the data?
Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Answer:

the number of siblings for each of student that Angela selected

Step-by-step explanation:

The data that you are interested is the number of siblings for each student in Angela´s school, so the data is centered in the number of siblings for the 200 randomly selected students.

Its like Angela will survey each student and ask for the number of siblings and she will record the answer of her companions of school.

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An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint shoul
maksim [4K]

Answer:

Ounces of green paint needed = 13.8

Step-by-step explanation:

Blue paint : green paint = 25 : 115

how many ounces of green paint should she mix with 3 ounces of blue paint?

Let

Ounces of green paint needed = x

Blue paint : green paint = 3 : x

Equate both ratios

25 : 115 = 3 : x

25/115 = 3/x

25 * x = 115 * 3

25x = 345

x = 345/25

x = 13.8 ounces

Ounces of green paint needed = 13.8

7 0
2 years ago
Determine the value of w and x in the figure below. (Thanks for the help I really appreciate it!)​
storchak [24]
Triangle HAM looks like an isosceles triangle, and we know that in an isosceles triangle 2 of the angles are the same.

so :
180 - 106 = 74 ( sum of the other 2 angles )
74/2 = 37 ( sum of angle HMA / HAM )

angles on a straight line add up to 180.
180-37=143 ( angle x )

since triangle YMH is also an isosceles,
180-37=143
143/2=71.5 ( angle w )
7 0
3 years ago
Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
What is the answer to this question
Ganezh [65]

Answer:

9v + 14

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

7v + 2 + 12 + 2v

<u>Step 2: Simplify</u>

  1. Combine like terms (v):                    9v + 2 + 12
  2. Combine like terms (Z):                    9v + 14
7 0
3 years ago
Example:
Aleonysh [2.5K]

Answer:

AB // CD and AD // BC, then ABCD is a parallelogram

Step-by-step explanation:

Step 2: Show AD // BC

A = (-3 , 3) and D = (0 , 0)

Find the slope of AD

m_{AD}=\frac{0-3}{0--3}=\frac{-3}{3}=-1

B = (2 , 5) and C = (5 , 2)

m_{BC}=\frac{2-5}{5-2}=\frac{-3}{3}=-1

The slope of AD = the slope of BC

So AD // BC because they have the same slope

Step 3:

Each two opposite sides are parallel in quadrilateral ABCD

So the quadrilateral is a parallelogram

8 0
3 years ago
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