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Dimas [21]
2 years ago
7

Write equivalent fractions for 3^3 bottom 4 and 1^2 bottom 3

Mathematics
2 answers:
Nonamiya [84]2 years ago
7 0

Answer:

\frac{3^3}{4}=\frac{3*3*3}{4}=\frac{27}{4}

\frac{1^2}{3}=\frac{1*1}{3}=\frac{1}{3}

Step-by-step explanation:

\frac{3^3}{4} and \frac{1^2}{3}

\frac{3^3}{4}=\frac{3*3*3}{4}=\frac{27}{4}

\frac{1^2}{3}=\frac{1*1}{3}=\frac{1}{3}

Hope this helps!

Rufina [12.5K]2 years ago
5 0

\tt \dfrac{3^3}{4}=\dfrac{27}{4}\\\\\dfrac{1^2}{3}=\dfrac{1}{3}

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A bicycle tire is 28 inches in diameter.
Andrej [43]

Answer:

Option A.) 88 inches

Step-by-step explanation:

step 1

Find the circumference of the wheel

we know that

The circumference of a circle is equal to

C=\pi D

we have

D=28\ in

\pi =\frac{22}{7}

substitute

C=(\frac{22}{7})(28)=88\ in

8 0
3 years ago
The expression below represents the distance between two points on a number line.
Mrrafil [7]

Answer:

A

Step-by-step explanation:

|-5 - 4|

The expression represents the absolute value of - 5 - 4 ;

-5 - 4 = - 9

|-5-4| = 9

Hence, the distance between the two points is 9.

Hence, the number line which shows the two points is A.

3 0
3 years ago
The capacity of an elevator is 12 people or 2088 pounds. the capacity will be exceeded if 12 people have weights with a mean gre
boyakko [2]

suppose the people have weights that are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Find the probability that if a person is randomly selected, his weight will be greater than 174 pounds?

Assume that weights of people are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Mean = 177

standard deviation = 26

We find z-score using given mean and standard deviation

z = \frac{x-mean}{standard deviation}

= \frac{174-177}{26}

=-0.11538

Probability (z>-0.11538) = 1 - 0.4562 (use normal distribution table)

= 0.5438

P(weight will be greater than 174 lb) = 0.5438

8 0
3 years ago
Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,
MrRissso [65]

Answer:

4.82\cdot 10^{-4}

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

n-1=51

Therefore, the probability of drawing a three at the 2nd draw is

p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784

Then, at the third draw, the previous 2 cards are not replaced, so there are now

n-2=50

cards in the deck. So, the probability of drawing a jack is

p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08

Therefore, the total probability of drawing an ace, a three and then a jack is:

p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}

4 0
3 years ago
Find the distance between the two points.<br> (-6, – 7), (0,0)
Elden [556K]

Answer:

√85

Step-by-step explanation:

for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)

// use the pythagoream theorem to find the length

the distance of the leg on the x-axis is 6  (calculate 0-(-6))

the distance of the leg that is dropping down is -7 (calculate 0-(-7))

then we have 2 legs and need to find the hypotenuse.

Pythagorean theorem a^2 + b^2 = c^2

substitute :

6^2 + 7^2 = c^2

36+49 = 85

c= √85

8 0
3 years ago
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