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Keith_Richards [23]
3 years ago
12

Sheryl got these scores on her spelling tests.

Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer:

5.6

Step-by-step explanation:

Sheryl got the following scores on her spelling tests.

95, 89, 99, 85, 82

Mean = sum of all observations/ Number of observations

Sum of all observations =95+89+99+85+82=450

Number of observations = 5

So,

Mean =\frac{450}{5}=90

Let M denotes the mean

Mean absolute deviation =\frac{\sum_{i=1}^{n}\left | x_i-M \right |}{n}

Put n=5

So,

Mean absolute deviation =\frac{\sum_{i=1}^{5}\left | x_i-M \right |}{5}=\frac{|95-90|+|89-90|+|99-90|+|85-90|+|82-90|}{5}=\frac{5+1+9+5+8}{5} =\frac{28}{5}=5.6

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Find a formula for the nth term in this arithmetic sequence. a1=0, a2=0.5, a3=1, a4=1.5
MrRissso [65]

Answer:

nth term is;

0.5n-0.5

Step-by-step explanation:

As we can see, the first term is 0

The common difference is 0.5-0= 1-0.5 = 1.5-1 = 0.5

Formula for nth term of an arithmetic sequence is;

a + (n-1)d

So we have

0 + (n-1) 0.5

= 0.5n-0.5

6 0
3 years ago
Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t
shtirl [24]

Answer:

6%

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability \frac{1}{2} and looses with probability \frac{1}{2}.  Let P(W_R) be probability that Roses win and P(L_R)  be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is  done as shown below,

\frac{1}{16} \times 100\%=6.25\%.

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.


3 0
3 years ago
Which kind of triangle is shown​
goblinko [34]

Answer:

Right Scalene Triangle

Step-by-step explanation:

8 0
2 years ago
Samuel rides his bike 14 blocks from his house to get to the bus stop. Then he takes the bus another 34 blocks to get to work. A
ludmilkaskok [199]

Answer: 96 blocks

Step-by-step explanation:

14 + 34 = 48 blocks

48 + 48 = 96 blocks

6 0
3 years ago
Read 2 more answers
Find x and y on triangle<br>Also the degree is 30 and the other thing is 7sqrt3​
nydimaria [60]

Answer:

y =7

x =14

Step-by-step explanation:

Since this is a right triangle we can use trig functions

tan 30 = opp /adj

tan 30 = y/ 7 sqrt(3)

7 sqrt(3)  tan 30 = y

7 sqrt(3) * 1/ sqrt(3) =t

7 =y

sin 30 = opp/ hyp

sin 30 = 7/x

x sin 30 =7

x = 7/ sin 30

x = 7 / 1/2

x = 14

6 0
3 years ago
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