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777dan777 [17]
3 years ago
7

A six-sided number cube is rolled twice. what is the probability that the first roll is an even number and the second roll is a

number greater than 4?
Mathematics
1 answer:
sergejj [24]3 years ago
7 0

<u>Answer</u>

1/6


<u>Explanation</u>

Probability is a chance of an event taking place.

Probability = (favorable outcome)/(total outcome)

There are 3 even sides in a dice.

P(even) = 3/6

           = 1/2

There are 2 numbers that are greater than 4 in a dice.

P(x>4) = 2/6

          = 1/3

P(even and x>4) = 1/2 × 1/3

                           = 1/6


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A university's freshman class has 6200 students. 4836 of those students are majoring
WINSTONCH [101]

According to the solving 78% of the freshman class are Economics majors.

<h3>What does a percentage mean?</h3>

percentage, a relative figure signifying hundredths of any amount. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

<h3>Why is it called percent?</h3>

The word "percent" comes from the Latin adverb per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Later, it was shortened to % with a final period.

<h3>According to the given data:</h3>

It is given that the total number of students in freshman class = 6200

Total number of students majoring in Economics = 4836

Here, we are asked to find the percentage of the freshman class who are majoring in Economics.

Percent of students majoring Economics =  (Number of students majoring/ Economics  Total number of students) x 100

= \frac{4836}{6200} x 100

= 78%

According to the solving 78% of the freshman class are Economics majors.

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4 0
1 year ago
QUESTION ON PIC TY!!!
Degger [83]

Answer:

Step-by-step explanation:

Multiply each number times 2 and then subtract from 29

3: 23

4: 21

5: 19

6: 17

3 0
2 years ago
Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A
belka [17]

Answer:

a) y=0.00991 x +1.042  

b) r^2 = 0.7503^2 = 0.563

c) r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

y = mx +b

Wehre

m=\frac{S_{xy}}{S_{xx}}  

And:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625  

And the slope would be:  

m=\frac{625}{63085.714}=0.00991  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429  

\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7  

And we can find the intercept using this:  

b=\bar y -m \bar x=7-(0.00991*601.429)=1.042  

And the line would be:

y=0.00991 x +1.042  

Part b

The correlation coefficient is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=7 \sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354  

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

The determination coefficient is given by:

r^2 = 0.7503^2 = 0.563

Part c

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

4 0
3 years ago
You are the owner of a small bakery. This week the bakery has orders for 48 birthday cakes. Each cake sells for $52. Suppose
ser-zykov [4K]

Answer:

Answer:$624

Total sales: $52 x 48 = $2,496

Cost of ingredients:  

$2,496

4

= $624

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
joe earns R25 per hour working at a pizza shop. How much will he earn over a weekend of two shifts, each six hours long​
NeX [460]

Answer:

R300

Step-by-step explanation:

<u>To solve:</u>

  • Multiply 25 by 6 to represent the earnings of a shift.
  • Multiply the shift earnings by 2 to represent how much he earned over the weekend.

<u>Multiply</u><u> </u><u>25 by 6:</u>

25 \times 6 = 150

<u>Multiply 150 by 2:</u>

<u>150 \times 2 = 300</u>

Joe will earn R300 over the weekend,

6 0
2 years ago
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