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Oxana [17]
3 years ago
14

Ms. Nellies

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0

Answer:

the equation is incorrect

Step-by-step explanation:

Let u show the equation

The correct equation is 2\frac{1}{2} \div \frac{3}{8}

= 2 1/2 ➗ 3/8

= 5/2 ➗ 3/8

= \frac{ 5 \times 8}{2 \times 3}

= \frac{40}{6} \\\\ = \frac{20}{3}

= 6\frac{2}{3}

Hence, the equation is incorrect

Trey's Number line model is incorrect because it represents the expression

2\frac{1}{2} \div \frac{3}{8}

Ms. Nellies has enough vinegar for 6 groups of students as 2\frac{1}{2} \div \frac{3}{8}

= 6\frac{2}{3}

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If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n
natali 33 [55]

Answer:

f^{-1}=3ln_2(\frac{t}{100})

f^-1 represents the number of hours the bacteria developed

Step-by-step explanation:

f(t) = 100 \cdot  2^\frac{t}{3}

To find inverse of a function , replace f(t) with y

y= 100 \cdot  2^\frac{t}{3}

replace t with y and y with x

x= 100 \cdot  2^\frac{y}{3}

solve for y

divide both sides by 100

\frac{x}{100} =2^\frac{y}{3}

take ln on both sides

ln \frac{x}{100} =\frac{y}{3}ln 2

divide both sides by ln

ln_2(\frac{x}{100}) =\frac{y}{3}

multiply by 3 on both sides

y=3ln_2(\frac{x}{100})

Replace x with t  and y with f^-1

f^{-1}=3ln_2(\frac{t}{100})

f^-1 represents the number of hours the bacteria developed

7 0
3 years ago
A tip in a restaurant has been typically figured at​ 15% of the total bill.
Anastasy [175]

Answer:

4.5 dollars (before tax id assume)

5 0
3 years ago
Solve for x in the following equation.
KonstantinChe [14]

Hello,

3 {}^{a}  = 3 {}^{b} \Leftrightarrow \: a = b

3 {}^{x}  =  {3}^{2} \Leftrightarrow \: x = 2

5 0
2 years ago
From 1995 - 2008 in the US 648 people were struck by lightening. 531 of them were men. You want to see if this observation diffe
Gre4nikov [31]

Answer:

Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis

Step-by-step explanation:

Sample proportion = p= 531/648 = 0.8194

This is the proportion of men that were hit by lightening

Null hypothesis: H0: p = 0.5

Alternate hypothesis: H1: p ≠ 0.5

Test statistics z = 0.8194-0.5/(√0.5x0.5/648)

= 0.8194-0.5/√0.0003858

= 0.3194/0.019642

= 16.26

Since the z > 1.96 (at 5% significance) we reject the null hypothesis.

Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.

Please check attachment!

3 0
4 years ago
What is the value of x
My name is Ann [436]
X=3



Explanation:

A straight line equals 180°, and they give you the one angle of 56°, so you know 56+ the other equation has to equal 180

56+4x+112=180
168+4x=180

Subtract 168 from both sides

4x=12

Divide 4 from both sides

X=3


You can check by filling it in.


56+4*3+112=

12+56+112=180
5 0
3 years ago
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