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2 years ago

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