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Lana71 [14]
3 years ago
12

One number is 2 more than another. The difference between their squares is 52. What are the numbers?

Mathematics
2 answers:
vova2212 [387]3 years ago
6 0

Answer:

The aprox, numbers:

4.1633   and    8.3266

Step-by-step explanation:

a = 2b

a² - b² = 52

then:

(2b)² - b² = 52

4b² - b² = 52

3b² = 52

b² = 52/3

b² = 17.333

√b² = √17.333

b = 4.1633        aprox.

a = 2b

a = 2*4.1633

a = 8.3266

Check:

8.3266² - 4.1633² = 52

69.333 - 17.333 = 52

kirza4 [7]3 years ago
4 0
The numbers are 12 and 14.
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-2 1/4 divided by (-1 1/2) =
Diano4ka-milaya [45]

Answer:

9/22

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

−9/4 ÷ −11/2

Applying the fractions formula for division,

=−9×2 divided by 4×−11

=−18/−44

Simplifying -18/-44, the answer is

=9/22

8 0
3 years ago
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 51% chan
Charra [1.4K]

Answer:

a) 0.3270 = 32.70% probability that Christine fails the course

b) 0.3917 = 39.17% probability that she had found someone to help

Step-by-step explanation:

We have these following probabilities:

61% probability that Christine find a coach.

100 - 61 = 39% probability that Christine does not find a coach.

With a coach, a 21% probability of failing.

Without a coach, a 51% probability of failing.

a. What is the probability that Christine fails the course?

21% of 61%(finds a tutor) plus 51% of 39%(does not find a tutor). So

P = 0.21*0.61 + 0.51*0.39 = 0.327.

0.327 = 32.7% probability that Christine fails the course

b. Christine ends up failing the course. What is the probability that she had found someone to help?

This can be formulated by the Bayes formula:

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening given that A happened and P(A|B) is the probability of A happening given that B happened.

In this question.

P(B|A) is the probability of finding a tutor given that she failed.

P(B) is the probability of finding a tutor. So P(B) = 0.61.

P(A|B) is the probability of failing when finding a tutor. So P(A|B) = 0.21

P(A) is the probability of failing. So P(A) = 0.327.

So

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.61*0.21}{0.327} = 0.3917

0.3917 = 39.17% probability that she had found someone to help

4 0
3 years ago
Need help with this question
photoshop1234 [79]
y = 3/4 x + ( - 2)
4 0
3 years ago
Read 2 more answers
A planter box can hold 3, ft of soil. The area of the base of the box is 24 ft. A sketch of the box is shown.
liraira [26]

Answer:

8

24 divided by 3= 8  

8x3=24 ft

7 0
3 years ago
Consider the limit of rational function p(x)l q(x)
Helga [31]

#1

\\ \sf\bull\dashrightarrow {\displaystyle{\lim_{x\to c}}}\dfrac{p(x)}{q(x)}=\dfrac{0}{1}=0

  • The limit tends to 0
  • Hence c=0

\\ \sf\bull\dashrightarrow {\displaystyle{\lim_{x\to c}}}\dfrac{p(x)}{q(x)}=\dfrac{1}{1}=1

  • Here limit tends to 1
  • Hence c=1

\\ \sf\bull\dashrightarrow {\displaystyle{\lim_{x\to 0}}}\dfrac{p(x)}{q(x)}=\dfrac{1}{0}=\infty

  • Here x tends to infty.
  • c=infty

For the fourth one limit also tends to zero

8 0
2 years ago
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