Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.What is the standard deviation of scores for the tenth level?

a.)215
b.)311
c.)354
d.)430

Answers

Answer 1

Answer: If score of 3,540 points is 2 standard deviations above the mean score of 3,110, then:
3,110 + 2 s= 3,540
2 s = 3,540 - 3,110 = 430
s = 430 : 2
s = 215
Answer: A) The standard deviation is 215.

Answer 2

Answer:

The standard deviation of scores for the tenthlevel is 215 and is denoted as option A.

What is Standard deviation?

This is defined as the measure of the amount of variation or dispersion of a set of values.

We were told that score of 3,540 points is 2 standard deviations above the mean score of 3,110 therefore,

3,110 + 2 s= 3,540

2 s = 3,540 - 3,110

2s = 430

s = 430/2

s = 215

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Given the sequence 5; 12 ; 21; 32; .... a determine the formular for the nth term of thw sequance . 2 determine between which two consecutive terms in the sequance the difference will equal 245 sketch the graph to represent the second difference

Answers

The nthterm for the sequence is 4n + n².

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

What is a sequence?

A sequence is a group of numbers where there is a relation between each consecutive value.

We have,

5, 12, 21, 32,

We see that,

The difference between the consecutive numbers is 7, 9, 11, 13, 15,

We can make a formula for the nth term.

4n + n²

Where n = 1, 2, 3, 4, ,,,,

Now,

Let the two consecutiveterms be n and (n +1).

4(n + 1) + (n + 1)² - 4n - n² = 245

4n + 4 + n² + 2n + 1 - 4n - n² = 245

4 + 2n + 1 = 245

2n + 5 = 245

2n = 240

n = 120

And,

n + 1 = 121

So,

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

Thus,

The nthterm for the sequence is 4n + n².

The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.

Learn more about sequence here:

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First difference
12-5 = 7
21-12 = 9
32-21 = 11

Second difference
9-11 = 2
11-9 = 2

second difference is constant so it could defined by quadratic formula,
u(x) = ax^2 + bx + c
because 2a = Second difference = 2
so a = 1
then u(x) = x^2 + bx + c

build equations from known values to find b and c
for x=1, u(1) = 5 = 1^2 + b(1) + c
b + c = 4 ...(1)

x=2, u(2) = 12 = 2^2 + b(2) + c
2b + c = 8 ... (2)

solve b = 4, c =0
so u(x) = x^2 + 4x ... formula for n term (i use x not n here)

difference between consecutive term is 245, we have
245 = u(x+1) - u(x)
245 = (x+1)^2 + 4(x+1) - (x^2 + 4x)
245 = x^2 + 2x + 1 + 4x + 4 - x^2 - 4x
245 = 2x + 5
x = 120
it's between term 120 and 121

graph is y=2

What multiplies to 40 but adds to 22

Answers

20 and 2
2*20=40
2+20=22

Is the histogram uniform, symmetric, or skewed?A. symmetric
B. skewed
C. uniform
D. None of the above

Answers

A histogram is a graph used to present ranges of data. In contrast to bar graphs or vertical graphs, these are more used in displaying complex and higher statistical data ranges. Moreover, the illustration is Uniform. Uniform in that it portrays that the data is in a rectangular shaped form.

Jordan takes 50% of the cherries from a bowl. then Mei takes 50%of the remaining cherries. Finally Greg takes 50 %of the remaining cherries. There are 3 cherries left. How many cherries were in the bowl before Jordan arrived

Answers

Answer:

Step-by-step explanation:

Let total cherries in a bowl=x

Jordan takes cherries=50% of x= $(50)/(100)x$

Remaining cherries= $x-(50)/(100)x=(50)/(100)x=(x)/(2)$

Mei takes cherries=50% of $(50x)/(100)=(x)/(4)$

Now, remaining cherries= $(x)/(2)-(x)/(4)=(x)/(4)$

Greg takes cherries=50% of $(x)/(4)=(x)/(8)$

Now, remaining cherries= $(x)/(4)-(x)/(8)=(x)/(8)$

Now,remaining cherries in a bowl=3

We have to find total cherries in a bowl before Jordan arrived.

According to question

$(x)/(8)=3$

$x=3* 8=24$

Hence, total cherries in a bowl=24

So in the final smallest bowl when half are removed there are 3 so the total amount was double 3 which is 6 before greg removed some.
Mei had removed half of the cherries which left 6 cherries so the total amount before Mei removed half was 12.
Jordan took half of the cherries which left 12. If you follow the same logic you double 12 which makes....
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