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2 years ago

I need help evaluating this problem

Mathematics

2 answers:

murzikaleks [220]2 years ago

8 0

Your answer should be 16/9

Reil [10]2 years ago

3 0

$\bf \left( \cfrac{64}{27} \right)^{\frac{2}{3}}\implies \left( \cfrac{4^3}{3^3} \right)^{\frac{2}{3}}\implies \left( \cfrac{4^{3\cdot \frac{2}{3}}}{3^{3\cdot \frac{2}{3}}} \right)\implies \cfrac{4^2}{3^2}\implies \cfrac{16}{9}$

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In a box 25 cards are there and 1 to 25 numbers are written on them. one card is drawn randomly. what is the probability that it

tensa zangetsu [6.8K]

Explanation :

Given that:

In a box 25 cards are there and 1 to 25 numbers are written on them.

• One card is drawn randomly.

To Find:

• What is the probability that it is multiple of 5.

We know that:

P(E)= F/T

Where,

P(E)= Probability of an event

• F= Favourable outcomes . T = Total outcomes

We have:

F = Number of cards which are multiple of 5

Cards having the number 5, 10, 15, 20, 25 are the multiples of 5.

So, F = 5

T = Total number of cards

• T = 25

P(F) The probabilityP(E) = The probability that it is multiple of 5

Finding the probability that it is multiple of 5:

P(E)= 5/25

P(E)=1/5

Hence,

The probability that it is multiple of 5 is ⅕

6 0

2 years ago

Three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side o

nlexa [21]

Answer:

74.31353

=74 m

Step-by-step explanation:

given that three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.

we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.

Hence this is an obtuse scalene triangle.

Angle ∠A = 56.5° (III angle)

Using sine formula we get

$\frac{AB}{sin 14.6} =\frac{BC}{sin 56.5} \\AB = 74.31353$

So distance AB is 74 metres.

5 0

2 years ago

joey made a deposit into an account that earns 6% simple interest.After three years, joey had earned $400. How much was joey's i

Sergio [31]

Answer:

Step-by-step explanation:

To find the amount deposited, we will simply use the formula for calculating simple interest.

Simple Interest = pxrxt/100 (fraction)

Where p = principal

R= Rate

T= Time

Principal is the initial amount deposited which we are ask to find.

R is given to be 6% and T is the time which is given in years

Simple interest is the interest earned over the year which is given to be $400

Lets substitute our variable into the equation

Simple Interest = pxrxt/100 (fraction)

$400 = P × 6 × 3 / 100

$400 = 18p/100 (fraction)

We will then cross multiply

$40 000 = 18 P

To get the value of P, we divide both-side of the equation by 18

4000/18 = 18p/18 (fractions)

$2222.22 = P

P = $2222.22

credits: ummuabdallah

3 0

2 years ago

Read 2 more answers

Nate borrowed $62,000 at 9.4% interest per year if he owed a total of $910.90 in when he repaid the loan how many days do they k

OverLord2011 [107]

The formula for simple annual interest is:

I = Prt

where,

I = Interest accumulated = $910.90
P = Principal Amount = $62000
r = Interest rate = 9.4% = 0.094
t = time in years

Using the values in above equation, we get:

910.90 = 62000 x 0.094 x t

⇒ t = 910.90/(62000 x 0.094) = 0.156

This is the time in years. Since there are 365 days in a year, the time in days will be:

t = 0.156 x 365 = 57 (rounded to nearest day)

This means, Nate kept the borrowed money for 57 days

6 0

2 years ago

Two numbers have theses properties . both numbers are greater than 6 . their hcf = 6 . their lcm = 60. what are the two numbers

aleksandrvk [35]

Let the numbers be x and y.
x*y=HCF*LCM=6*60=360
thus
y=360/x
next we find the list of combinations of x and y and test if they satisfy the conditions above:
(6,60),(12,30),(18,20),(24,15)
out of the above, only (6,60) and (12,30) satisfy both conditions. Thus our answer is:
(6,60) or (12,30)

6 0

2 years ago