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Lady bird [3.3K]
3 years ago
13

Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are

summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?
Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Answer: c is the answer

C: 0.560

Step-by-step explanation:

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What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?
Serggg [28]
\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}

\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1
7 0
3 years ago
Factor the polynomial x^2+5x+6
GalinKa [24]
(x+6)(x-1)=0

hope this helps


4 0
4 years ago
Read 2 more answers
Don Moline, a construction worker, earns $12.25 per hour. He worked his regular 36 1/4 hours last week. What was his straight-ti
Anton [14]

Answer:

<u>The correct answer is US$ 444.06</u>

Step-by-step explanation:

1. Let's check all the information that was provided in the question:

Salary per hour earned by Don Moline = US$ 12.25

Number of hours worked last week = 36 1/4

<u>2. For calculating the payment Don will receive, we do the following:</u>

Straight-time payment = Salary per hour earned by Don * Number of hours worked last week

Straight-time payment = 12.25 * 36 1/4

Straight-time payment = 12.25 * 36.25 (1/4 = 0.25)

Straight-time payment = US$ 444.06

<u>Don Moline will receive US$ 444.06 of payment</u>

7 0
3 years ago
Factor Completely<br><br> -m^3-2m^2-16m-32
klio [65]

Answer:

-(m+2)(m^2+16)

Step-by-step explanation:

6 0
3 years ago
I need help please.
galina1969 [7]

Just use the substitution method for the number 3 into 25= 70n

25= 70(3)

25= 210

Answer is No

5 0
3 years ago
Read 2 more answers
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