All categories

3 years ago

A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.

Mathematics

1 answer:

Simora [160]3 years ago

4 0

Answer:

0.625

Step-by-step explanation:

Since there are 4 options each time the spinner is spun, there are a total of $4\cdot 4=16$ non-distinct sums possible when we spin it twice.

Out of these, the possible sums that meet the condition (less than 6) are 2, 3, 4, and 5 (since the smallest sum possible is 1+1=2).

Count how many ways there are to achieve each of these sums:

$1+1=2\\\\1+2=3\\2+1=3\\\\2+2=4\\1+3=4\\3+1=4\\\\2+3=5\\3+2=5\\4+1=5\\1+4=5$

Totally there are 10 ways to achieve a sum less than 6. Therefore, the desired probability is $\frac{10}{16}=\frac{5}{8}=\boxed{0.625}$

You might be interested in

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

3 years ago

NO LINKS!!! QRSTU ~ FGCDE. Find FG, CD, and EF.

arsen [322]

Answer:

See below ~

Step-by-step explanation:

Given :

QRSTU ~ FGCDE

Finding the scale factor :

Take two corresponding sides in proportion
RS : GC
40 : 12
10 : 3

Applying the scale factor to find the missing sides :

- FG :

QR : FG = 10 : 3
30/FG = 10/3
FG = 30/10 x 3
FG = 3 x 3
FG = 9

- CD :

ST : CD = 10 : 3
40/CD = 10/3
CD = 40/10 x 3
CD = 4 x 3
CD = 12

- EF :

UQ : EF = 10 : 3
30/EF = 10/3
EF = 30/10 x 3
EF = 3 x 3
EF = 9

4 0

2 years ago

Read 2 more answers

What is 2/5 times 15/16

Flauer [41]

That is 30/80 that reduces down to 3/8
How u get it is 2 times 15 over 5 times 16 then divide 30 and 80 by 10 to get 3/8

6 0

4 years ago

Read 2 more answers

Timothy spent $68 at Macy's. His purchases include a pair of jeans at $32 and 2 t-shirts at $x each. how much for each t-shirt.

maria [59]

Answer:

idk

Step-by-step explanation:

3 0

4 years ago

10 Topic Asessment Form A

Vedmedyk [2.9K]

Answer:

the answer would be 5

Step-by-step explanation:

6 0

3 years ago