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Tems11 [23]
2 years ago
5

Yuki's guppies have begun to have babies. She started with 5 guppies. One week later, Yuki counted twice as many guppies in the

fish tank. Each week afterwards, the number of guppies doubled. In how many weeks did Yuki have 160 guppies?
Mathematics
1 answer:
s2008m [1.1K]2 years ago
5 0
Week 1 = 5 guppies.
week 2 = 5x 2 = 10 guppies
week 3 = 10 x 2 = 20 guppies
week 4= 20 x 2 = 40 guppies
week 5 = 40 x 2 = 80 guppies
week 6= 80 x 2 = 160 guppies
Yuki had 160 guppies in 6 weeks.
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A TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 500
nekit [7.7K]

Answer:

0.903264

Step-by-step explanation:

Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.

Let A' = the event that A fails, B' =  B fails and C'= C fails.

Probability that no circuit board fails = Prob (A'B'C')

= P(A')P(B')P(C')  (since A,B, C are independent, their complements are independent

= (1-0.03)(1-0.04)(1-0.03)

= 0.903264

8 0
3 years ago
An elephant can run of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant runs i
Mice21 [21]

<u>Answer:</u>

The expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour

<u>Solution:</u>

Given that,

Distance covered by an elephant in 36 seconds is equal to 1 mile

Therefore, <em>distance covered by the elephant in 1 second</em> is  \frac{1}{36} mile

Therefore, <em>distance covered by the elephant in 60 seconds</em> (60 seconds = 1 minute) is

\frac{1}{36} \times 60=\frac{5}{3} \text { miles }

Therefore, <em>distance covered by the elephant in 60 minute</em> (60 minute = 1 hour) is

\frac{5}{3} \times 60=100 \text { miles per hour }

Hence the expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour

7 0
3 years ago
Find the smallest solution to the equation 2/3 X² equals 24
iren [92.7K]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

The smallest solution is -6

The largest solution is 6

4 0
3 years ago
Use the given conditions to write an equation for each line in general form.
Aneli [31]

Answer:

It's the last choice:

2x + y - 1 = 0.

Step-by-step explanation:

x - 2y - 3 = 0

Convert to slope-intercept form in order to find the slope:

-2y = -x + 3

y = 1/2x - 3/2

So the slope  is 1/2.  The slope of a line perpendicular to this is -1 / 1/2 = -2.

Using the point-slope form to find  the required equation:

y - y1 = m(x - x1)

x = 4 and y = -7 so we have:

y + 7 = -2(x - 4)

y + 7 = -2x + 8

2x + y - 1 = 0  is the answer.

6 0
3 years ago
4 5/6+3/5= my daughter is needing help she's in the 5th grade
V125BC [204]

Answer:5 13/30

Step-by-step explanation:

4+5/6 + 3/5

5/6 +3/5

Find LCD of 5/6 and 3/5

25/30 + 18/30

43/30= 1 13/30

4+1+13/30= 5 13/30

7 0
3 years ago
Read 2 more answers
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