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gogolik [260]
2 years ago
6

Ms stewart teaches three science classes her students are freshmen and sophomores. her student data are shown in the relative fr

equency table.
which statement is false?

Mathematics
2 answers:
grigory [225]2 years ago
5 0

Answer:

Step-by-step explanation:

viktelen [127]2 years ago
4 0

Answer:

B) 25% of her students are in chemistry.

Step-by-step explanation:

There were 0.1, or 10%, of freshmen in chemistry.  There were 0.25, or 25%, of sophomores in chemistry.  This is a total of 0.1+0.25 = 0.35, or 35%.

This is not 25%.

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A prescription calls for the following: Sodium citrate 5 g Tartar Emetic 0.015 g Cherry syrup ad 120 mL Using a balance with a s
ella [17]

Answer:

measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

Step-by-step explanation:

Given:

Mass of Sodium citrate = 5 g

Mass of Tartar Emetic = 0.015 g = 15 mg

Volume of Cherry syrup ad 120 mL = 120 mL

sensitivity = 4 mg

Error = 5%

Now,

The smallest weight that can be measured = \frac{\textup{Sensitivity}}{\textup{Error}}\times100

or

The smallest weight that can be measured =  \frac{\textup{4}}{\textup{5}}\times100  = 80 mg

Now,

80 mg is dissolved in 120 mL of Cherry syrup according to prescription

( Thus,

1 mg is dissolved in \frac{120}{80}\ mL  of Cherry syrup according to prescription )

so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup

=   15\times\frac{120}{80}\ mL

= 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

8 0
2 years ago
What are three different ways to make the number 15,638 with only hundreds, tens, and ones?
Mademuasel [1]
156 hundreds 3 teens and 8 ones I believe
3 0
2 years ago
Read 2 more answers
What is the binomial expansion of (x + 2)4? x4 + 4x3 + 6x2 + 4x + 1 8x3 + 24x2 + 32x x4 + 8x3 + 24x2 + 32x + 16 2x4 + 8x3 + 12x2
Margaret [11]

<u>Answer-</u>

\boxed{\boxed{(x+2)^4=x^4+8x^3+24x^2+32x+16}}

<u>Solution-</u>

Given expression is (x+2)^4

Applying Binomial Theorem

\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i

Here,

a = x, b = 2 and n = 4

So,

\left(x+2\right)^4=\sum _{i=0}^4\binom{4}{i}x^{\left(4-i\right)}\cdot \:2^i

Expanding the summation

=\dfrac{4!}{0!\left(4-0\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(4-1\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(4-2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(4-3\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(4-4\right)!}x^0\cdot \:2^4

=\dfrac{4!}{0!\left(4\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(3\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(1\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(0\right)!}x^0\cdot \:2^4

=1\cdot x^4\cdot \:1+4\cdot x^3\cdot \:2+6x^2\cdot \:4+4\cdot x\cdot \:8+1\cdot 1\cdot \:16

=x^4+8x^3+24x^2+32x+16

4 0
2 years ago
Read 2 more answers
Which is a perfect square? 6 Superscript 1 6 squared 6 cubed 6 Superscript 5 Mark
Mazyrski [523]

Answer:

6^2

Step-by-step explanation:

The square root of a perfect square is a rational number.

So let us take the square root of each number to see which is a rational number.

\sqrt{6^1}=\sqrt{6}......irrational

\sqrt{6^2}=6......rational

\sqrt{6^3}=6\sqrt{6}.........irrational

\sqrt{6^5}=36 \sqrt{6}irrational.

Therefore 6^2 is a perfect square

3 0
2 years ago
Read 2 more answers
The triangle shown below has an area of 121212 units^2 <br> 2<br> squared.<br> Find xxx.
dalvyx [7]

Answer:

4

Step-by-step explanation:

Let's set up an equation using the formula for the area of a triangle.

Hint #22 / 3

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ 12&= \dfrac12 \cdot 6 \cdot x \\\\ 12&= 3x \\\\ \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} ~~~~~~~\text{divide both sides by } {\blueD{ 3}}\\\\ \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}}\\\\ x &=\dfrac{12}{\blueD{3}}\\\\ x &=4\end{aligned}  

Area of a triangle

12

12

3

12

​  

 

3

12

​  

 

x

x

​  

 

=  

2

1

​  

⋅base⋅height

=  

2

1

​  

⋅6⋅x

=3x

=  

3

3x

​  

       divide both sides by 3

=  

3

​  

 

3

​  

x

​  

 

=  

3

12

​  

 

=4

​  

5 0
2 years ago
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