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EleoNora [17]
2 years ago
11

Yolanda tossed a coin 15 times. The results were 9 heads and 6 tails. Determine the experimental probability of tossing tails.

Mathematics
1 answer:
zlopas [31]2 years ago
8 0

The coin landed on tails 6 out of 15 times.

The experimental probability of landing on tails was 6/15, which reduces to 2/5

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A ball is dropped from a height of 30 feet and each time it hits the ground it bounces 0.75 of the previous height. What is the
dimulka [17.4K]

30 x 0.75 = 22.5 .............(1st)

22.5 x 0.75 = 16.875 ......(2nd)

16.875 x 0.75 = 12.66 ....(3rd)

ANSWER: C) 12.66

8 0
3 years ago
A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte
ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, q_1 = Q- r \times Q

q_1 = Q(1-r)\cdots(i)

The value of quantity after 2 months, q_2 = q_1- r \times q_1

q_2 = q_1(1-r)

From equation (i)

q_2=Q(1-r)(1-r)  \\\\q_2=Q(1-r)^2\cdots(ii)

The value of quantity after 3 months, q_3 = q_2- r \times q_2

q_3 = q_2(1-r)

From equation (ii)

q_3=Q(1-r)^2(1-r)

q_3=Q(1-r)^3

Similarly, the value of quantity after n months,

q_n= Q(1- r)^n

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

q_{48}=Q(1-r)^{48}

Putting Q=6200 and r=5.5%=0.055, we have

q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32

Hence, the value of quantity after 4 years is 410.32.

4 0
2 years ago
Read 2 more answers
3. What is the slope of the line that contains the
dlinn [17]

Answer:

I think the answer would be -1/2 or D.

Step-by-step explanation:

Use this formula for calculating slope : y2-y1 / x2 - x1                                                            

1. label the pairs, 1 and 2

(-6, 1)  - ( x1, y1 )          or        (4,-4) - (x1, y1)

(4,-4) - ( x2, y2)                      (-6,1) - (x2, y2)  

(the order does not matter)

2. Than plug in your numbers

y2-y1 / x2 -x1                 y2-y1 / x2 -x1

-4 - 1 / 4 - (-6)        or        1 - (-4) / -6 - 4

= -5/10 or -1/2               = - 5/-10 or -1/2

im only in eight grade so i did my best explaining , and this hope it helps :)

7 0
3 years ago
Solve the triangle.
saw5 [17]

Answer:

Step-by-step explanation:

because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A

so the first choice is out.

use the law of cosines to find b

b^{2} = a^{2} +c^{2} -2*a*c*cos(B)

b^{2} =1681+400-1326.787871

b^{2}= 754.21219

b= \sqrt{754.21219}

b= 27.46292

so the last choice looks good

5 0
2 years ago
Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It
Inessa [10]

Answer:

old town has 150 steps

Step-by-step explanation:

Let the number of steps in the old tower be m

Mathematically, time = distance/speed

In this case, the distance is the number of steps while the speed is the rate of climbing or descending

For climbing, time spent = m/3

For descending time spent = m/2

Since it took her 25 longer when descending;

This means that;

m/2 - m/3 = 25

(3m-2m)/6 = 25

m/6 = 25

m = 6 * 25

m = 150 steps

8 0
3 years ago
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