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brilliants [131]
2 years ago
12

1. Jordan scores a 53 on his math test. The class average is 57 with a standard deviation of

Mathematics
1 answer:
dsp732 years ago
3 0
53-57/2= -4/2= -2
Jordan scored 2 Standard deviation below the mean
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Find the sum of the first 47 terms of the following series, to the nearest integer.
Leokris [45]

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

5 0
2 years ago
Find the 10th term of the sequence defined by the rule, f (n) = 4n - 3.
DiKsa [7]

Answer:

<h3>                f(10) = 37</h3>

Step-by-step explanation:

f(n) = 4n - 3

f(10) = 4×10 - 3 = 40 - 3 = 37

6 0
3 years ago
R is in the middle of pqs btw
Vlad [161]

Answer:

46

Step-by-step explanation:

5x = 3x - 2 + 34

5x = 3x + 32

2x = 32

x = 16

plug back in

3( 16 ) - 2

48 - 2

46

5 0
3 years ago
Please help me solve this practice SAT question!
lord [1]

Answer:

t=5

Step-by-step explanation:

∵ (t,17) lies on (x,y) plane y=x²-3x+7,t>0

∴ 17=t²-3t+7

t²-3t+7-17=0

t²-3t-10=0

t²-5t+2t-10=0

t(t-5)+2(t-5)=0

(t-5)(t+2)=0

t=5,-2

t>0

so t=5

6 0
3 years ago
You spin the spinner and flip a coin. Find the probability of the compound event.
Mademuasel [1]

Answer:

The probability of spinning an even number and flipping heads is 1/4

Step-by-step explanation:

You spin the spinner and flip a coin.

A spinner that has 1 of each number, 1-6

Total events =12

(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)

We are supposed to find  probability of spinning an even number and flipping heads

Favorable events : (2,H),(4,H)(6,H) = 3

Total events = 12

The probability of spinning an even number and flipping heads =\frac{3}{12}=\frac{1}{4}

Hence The probability of spinning an even number and flipping heads is 1/4

7 0
3 years ago
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