Answer:
x equals five thirteenths
Step-by-step explanation:
To solve this, we will follow the steps below;
× x + 
= 4 × x
+ = 4x
= 4x
Multiply both-side of the equation by 4
× 4= 4x × 4
On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;
3x + 5 = 16x
subtract 3x from both-side of the equation
16x - 3x = 5
13x = 5
Divide both-side of the equation by 13
= 
(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)
x =
x equals five thirteenths
The correct statement comparing the theoretical and experimental probabilities is given as follows:
.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The theoretical probability is taken before any experiment. Since the four sections are equal, the theoretical probability is:
T(H) = 1/4.
The experimental probability is taken considering previous experiments. Out of 100 tosses, 28 landed on H, hence:
E(H) = 28/100 = 7/25.
Hence the correct statement is:
.
More can be learned about probabilities at brainly.com/question/14398287
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Answer: 30 $15 tickets and 20 $35 tickets
Step-by-step explanation:
.X%2BY=50
2.15X%2B35Y=1150
From eq. 1,
15X%2B15Y=750
Subtract from eq. 2,
15X%2B35Y-15X-15Y=1150-750
20Y=400
Y=20
Then,
X%2B20=50
X=30
30 $15 tickets and 20 $35 ticket
Hope it helps
We have a deposit of $2000 into an account that pays 6% compounded monthly, after a year we will have:
The effective annual yield (EAY) will be:
The EAY is 101.22%
Answer:
x=41
Step-by-step explanation:
so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:
a^2+b^2=c^2
so:
9^2 +40^2=c^2
solve for the exponents:
81 +1600=c^2
1681=c^2
and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41
hope this helps :)
