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xxMikexx [17]
3 years ago
6

Toss a coin 5 times. what is the probability of getting exactly 2 tails

Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0
The total number of outcomes is (1/2)^5 dice each of the 5 coin tosses is an independent event. From the 5 possible tails, exactly 2 tails need to be selected. So the favored outcome is 5C2 = (5*4)/(1*2)= 10. The probability is 10/32 = 5/16.
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Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

6 0
3 years ago
Given a sphere with a diameter of 8 cm, find its volume to the nearest whole number
arsen [322]

Answer:

268 cm

Step-by-step explanation:

A P E X

4 0
3 years ago
1.A sign-making store made a banner from a photograph. The photograph was 8 x 10 inches, and the banner was 12 x 15 feet. What s
jok3333 [9.3K]

1. 12 feet = 144 inches

15 feet = 180 inches

144 inches / 8 inches = 18

180 inches / 10 inches = 18

The scale factor was 18.

2. Volume = Length x Width X height:

Volume = 16 x 13 x 11 = 2,288 cubic inches.

6 0
3 years ago
An airline states that an airplane flight between two cities takes 2.5 hours. The airline also says that the actual flying time
tatiyna

Answer:

i do not know

Step-by-step explanation:

3 0
3 years ago
3. How much interest does $5300 earn at a rate of 2.8% interest compounded quarterly after 6
azamat

Answer:

The interest is I=\$74.46

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=6/12=0.5\ years\\ P=\$5,300\\ r=0.028\\n=4  

substitute in the formula above  

A=5,300(1+\frac{0.028{4})^{4*0.5}

A=5,300(1.007)^{2}  

A=\$5,374.46  

<em>Find the interest</em>

I=A-P

substitute

I=\$5,374.46-\$5,300=\$74.46

5 0
3 years ago
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