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zhenek [66]
3 years ago
11

A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that

represents the
number of tests on the y-axis and the time in weeks on the x-axis?
A. 3/4

B. 4/3
c. 3

D. 4
Mathematics
2 answers:
Alex17521 [72]3 years ago
7 0

Answer:

3/4

Step-by-step explanation:

slope=rate of taking tests=27/36=3/4

Temka [501]3 years ago
6 0
A. 3/4

27tests/36 weeks
To take them at a constant speed they would have to take 3/4 test per week.
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Please help me with this
timama [110]

Answer:

m<1 = 45°  

m<2 = 76°

m<3 = 80°

Step-by-step explanation:

<u>Points to remember</u>

1). Vertically opposite angles are equal

2). Sum of angles of a triangles is 180°

<u>To find the measures of given angles</u>

From the figure we get,

m<1 = 45°   [Vertically opposite angles]

By using angle sum property <2 + 59 + 45 = 180

m<2 = 180 - 104

m<2 = 76°

Also m<1 + m<3 + 55 = 180

m<3 = 180 - (m<1 + 55)

 = 180 - (45 + 55)

 = 180 - 100

m<3 = 80°

5 0
3 years ago
You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat
den301095 [7]

Answer:

a

  P(G) =  0.69

b

  P(S | G) = 0.81

c

  P(M|G') =  0.26

Step-by-step explanation:

From the question we are told the

   The probability of getting into getting into graduated school if you receive a strong recommendation is  P(G |S) = 0.80

   The probability of getting into getting into graduated school if you receive a moderately good recommendation is  P(G| M) =  0.60

   The probability of getting into getting into graduated school if you receive a weak recommendation is  P(G|W) =  0.05

   The probability of getting a strong recommendation is  P(S) =  0.7

     The  probability of receiving a moderately good recommendation is P(M) =  0.2

       The probability of receiving a weak recommendation is P(W) =  0.1

      Generally  the probability that you will get into a graduate program is mathematically represented as

     P(G) =  P(S) *  P(G|S) + P(M) *  P(G|M) + P(W) *  P(G|W)

=>   P(G) =  0.7 * 0.8 +  0.2 *  0.6 + 0.1 *  0.05

=>   P(G) =  0.69

Generally  given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

      P( S|G) =  \frac{ P(S) *  P(G|S)}{ P(G)}

=>    P(S|G) =  \frac{ 0.7 * 0.8 }{0.69}

=>     P(S | G) = 0.81

Generally given that you didn't receive an offer to attend a graduate program  the probability that you received a moderately good recommendation is mathematically represented as

        P(M|G') =  \frac{ P(M) *  (1- P(G|M))}{(1 - P(G))}

         P(M| G') =  \frac{ 0.2 *  (1- 0.6)}{ (1 - 0.69)}

         P(M|G') =  0.26

 

3 0
3 years ago
An account with $600 earns 4% simple interest per year. The next year all the money is put into a new account that earns 4.5% si
N76 [4]
[First Year]
$600 • 0.04 • 1 year
600 • 0.04 = 24 • 1 = 24

[Second Year]
$600 • 0.045 • 1 year
600 • 0.045 = 27 • 1 = 27

24 + 27 = $51

I believe this is correct and I hope this helps! :)
7 0
3 years ago
Read 2 more answers
A gas occupies 1.00 L at standard temperature. What is the volume at 606 K?
tino4ka555 [31]

Answer:

the volume at 606k is 2.22....the third one

Step-by-step explanation:

v1=1.00 t1=273 v2=? t2=606

v1/t1=v2/t2

1.00/273=v2/606

1.00×606=273v2

606=273v2

606/273=v2

2.21 L=v2

3 0
2 years ago
A bag contains red, yellow and green sweets.2/5 of the sweets are red and 1/4 of the sweets are yellow. What fraction of the swe
Sauron [17]

Answer:

Let x = the number or green sweets

Let x + 8 = the number of red sweets

red/green: (x + 8)/x = 5/3      Cross multiply

5x = 3(x + 8)

5x = 3x + 24

2x = 24

x = 12 green sweets

3 0
3 years ago
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