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hammer [34]
3 years ago
15

A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583

Step-by-step explanation:

Given the following :

Total number of coin tosses = 60

Total number of times coin landed on head = 35

Proportion of head landings obtained :

Total number of head landings obtained / total number of coin tosses

Proportion of head landing obtained :

= 35 / 60 = 7 / 12 = 0.5833

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Kruka [31]

Answer:

O=30° or O=29°

Step By Step Explanation:

∠α =arcsin( a/c )

= arcsin(4/8)

= arcsin(0.5)

= 0.5 rad = 30° = 29°

I Hope This Helps. I Gave you 2 answers just in case 1 is Wrong. And I Hope you Understand This Calculation, I Used Different Variables and the arcsin thing is something my teacher told my class to use, and I Have no Idea what it means because my teacher never explained what it meant, Sadly.

7 0
2 years ago
I need help with this problem
cupoosta [38]
\bf \begin{cases}
(n^4)^p=n^{12}\to &n^{4\cdot p}=n^{12}\to 4p=12
\\
&\qquad \uparrow \\
&\textit{same bases, thus}\\
&\qquad \downarrow 
\\
n^3\cdot n^q=n^6\to &n^{3+q}=n^6\to 3+q=6
\end{cases}
\\\\\\
thus\implies 
\begin{cases}
4p=12\implies p=\frac{12}{4}
\\\\
3+q=6\implies q=6-3
\end{cases}
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\\\\
then\implies p\cdot q=\boxed{?}
7 0
3 years ago
Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.
elena55 [62]

Answer:

b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

Step-by-step explanation:

Given

f(b) = b^2 - 75

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

0 = b^2 - 75

Add 75 to both sides

75 + 0 = b^2 - 75 + 75

75 = b^2

Take square roots of both sides

\sqrt{75} = \sqrt{b^2}

\sqrt{75} = b

Reorder

b = \sqrt{75}

Expand 75 as a product of 25 and 3

b = \sqrt{25*3}

Split the expression

b = \sqrt{25} *\sqrt{3}

b = \±5 *\sqrt{3}

b = \±5 \sqrt{3}

b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

The options are not clear enough; however the roots of the equation are b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

4 0
3 years ago
The sum of seven times a number—<br> PLEASE HELP!
castortr0y [4]

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

<u><em>Condition 1:</em></u>

7x+3y = 54 -----------(1)

<u><em>Condition 2:</em></u>

x = 2+y -----------------(2)

<em>Putting (2) in (1)</em>

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

<em>Dividing both sides by 10</em>

=> y = 4

<em>Now putting y = 4 in eq(2)</em>

=> x = 2+4

=> x = 6

6 0
3 years ago
Read 2 more answers
Which property is shown? –7 + 24 = 24 + (–7) A. associative property B. distributive property C. opposite of a sum property D. c
erastova [34]
B Commutative Property
4 0
3 years ago
Read 2 more answers
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