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WINSTONCH [101]
3 years ago
11

PLEASE HELP!! I WILL GIVE BRAINLIEST!! I don’t understand please help with number 15 & 16

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

Step-by-step explanation:

15) t = 1 ,  3t - 2 = 3*1 - 2 = 3 - 2 = 1

      t =2,  3t - 2 = 3*2 - 2 = 6 -2 = 4

    t = 3,   3t - 2 = 3*3 - 2 = 9 - 2 = 7

     t = 4 ,  3t - 2 = 3*4 - 2 = 12 - 2 = 10

Series : 1,4,7,10,.........

a = first term = 1

d = common difference = 2nd term - first term = 4 - 1 = 3

n = number of terms = 20

S = \frac{n}{2}*(2a + (n-1)d)

  =\frac{20}{2}(2*1 +19*3)\\\\= 10 * (2 + 57)\\\\= 10* 59\\\\= 590

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antoniya [11.8K]
6 1/6 - 3 5/6= 2 1/3
Hope this Helps:D
Have a great rest of a brainly day!

7 0
3 years ago
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est
MrRa [10]

Answer:

<em> 85% level of the confidence interval is</em>

<em>(26.337, 26.662)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given the size of the sample 'n' = 295

Mean of the sample x⁻ = 26.5

The Standard deviation of the Population = 2.7

85% level of the confidence interval is determined by

(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })

Critical value Z₀.₁₅ = 1.036

<em> 85% level of the confidence interval is determined by</em>

(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })

(26.9 -1.036 \frac{2.7}{\sqrt{295} } , 26.5 + 1.036 \frac{2.7}{\sqrt{295} })

( 26.5 - 0.1628 , 26.5+0.1628)

(26.3372,26.6628)

7 0
3 years ago
Find the area of the shaded region
Sonja [21]

Area= base times height

8 times 5= 40

2*3=6

40-6=34

shaded area is 34cm ^2

6 0
2 years ago
Mister Rogers is fencing another new rectangular garden in his neighborhood. One side of the garden faces the road and needs to
Oksanka [162]

Answer:

length of the pretty side  and length of the side oppositte to the pretty side  =   37.91 ft

length of the other two sides  = 27.52 ft

Step-by-step explanation:

The mathematical problem is:

Max A = b1*h

subject to: 35*b1 + 18*(2*h + b2) <= 3000

Where

A: area of the garden

b1: length of the pretty side

b2: length of the side oppositte to the pretty side

h: length of the other two sides

Replacing with b1 = b2 and taking only the equality sign in the restriction (in the maximum all the money will be spent), we get:

35*b1 + 18*(2*h + b1) = 3000

35*b1 + 36*h + 18*b1 = 3000

53*b1 + 36*h = 3000

b1 = 3000/53 - (36/53)*h

Substituing in Area's formula  

A = (3000/53 - (36/53)*h)*h

A = (3000/53)*h - (36/53)*h^2

In the maximum, the derivative of A is equal to zero

dA/dh = 3000/53 - 2*(36/53)*h =

3000/53 - 72/35*h = 0

h = (3000/53)*(35/72)

h = 27.52 ft

then,

b1 = 3000/53 - (36/53)*27.52

b1 = 37.91 ft =b2

3 0
3 years ago
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stich3 [128]

Answer:

5/12

Step-by-step explanation:

4 0
3 years ago
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