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Irina-Kira [14]
3 years ago
12

Explain what the y-intercept of a line is

Mathematics
2 answers:
shtirl [24]3 years ago
7 0

Answer:

The Y intercept happens when x = 0

Step-by-step explanation:

When x = 0, it lands on the y coordinate, creating the Y intercept

Alexxandr [17]3 years ago
5 0
Y= mx+ b, the y- intercept is b. It equals whatever point is on the y-axis
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Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at most one daughter if she
JulijaS [17]

Answer: 0.3125.

Step-by-step explanation:

  • The chance of having a boy is 0.5,
  • the chance of having a girl is also 0.5.

<u>Outcome 1: all boys</u>

boy  boy  boy  boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 2: first child is a girl, all others are boys</u>

girl   boy   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 3: second child is a girl, all others are boys</u>

boy   girl   boy   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 4: third child is a girl, all others are boys</u>

boy   boy   girl   boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

<u>Outcome 5: fourth child is a girl, all others are boys</u>

boy   boy   boy   girl

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Therefore,

0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125

4 0
2 years ago
Select yes or no to indicate whether a zero must be written in the dividend to find the quotient
neonofarm [45]

Answer:

2.25 divided by 0.6 : Yes and 5.2 divided by 8, 3.63 divided by 3, 71.1 divided by 9 : No

Step-by-step explanation:

We have that when two numbers are divided, they can be written in the form \frac{p}{q}, where p is the dividend and q is the divisor.

Now, when we divide 5.2 by 8, we can write \frac{5.2}{8}

Also, the division 3.63 by 3, can be written as \frac{3.63}{3} = 1.21

Further, when we divide 71.1 by 3, we can write \frac{71.1}{3} = 23.7

We can see that above divisions are easy divisions and do not require to write any type of 0 in the numerator.

Moreover, when we divide 2.25 by 0.6, we can write \frac{2.25}{0.6} = \frac{2.25\times 10}{6}.

So, we get that in the last division, we need to write a zero in order to multiply the numerator with 10 for easy division.

Hence, 2.25 divided by 0.6 : Yes and 5.2 divided by 8, 3.63 divided by 3, 71.1 divided by 9 : No

3 0
3 years ago
alex is running in a clockwise direction around a circular track with radius 60 yards. he runs for 20 minutes at a speed of 4 ya
Ganezh [65]

Answer:

  100.9 yards

Step-by-step explanation:

One circuit of the track is a distance of ...

  C = 2πr = 2π(60 yd) = 120π yd.

At Alex's running rate, the distance covered in 20 minutes is ...

  (4 yd/s)(20 min)(60 s/min) = 4800 yd

The number of circuits will be ...

  (4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits

The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,

That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd

The shortest distance along the track to Alex's starting point is about 100.9 yards.

_____

<em>Additional comment</em>

The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.

3 0
3 years ago
I need some help with these
Anettt [7]

Answer:

7) 1/2

8) 1/6

9) 2/3

10) 1/3

I hope this helped you! If it did, please consider pressing thanks, rating my answer, and marking as Brainliest. It would be a big help! Have a great day! :)

6 0
3 years ago
I need help with these questions.
Ivanshal [37]

Answer:

  • See below

Step-by-step explanation:

<h3>Q13</h3>

The greater the angle the greater the opposite side

<u>Sides in ascending order:</u>

  • AB = 17, AC = 18, BC = 21

<u>Angles in same order</u>

  • ∠C, ∠B, ∠A
<h3>Q14</h3>

<u>As above, sides in ascending order:</u>

  • AB = 15, AC = 16, BC = 17

<u>Angles in same order</u>

  • ∠C, ∠B, ∠A
<h3>Q15</h3>

<u>Exterior angle equals to sum of non-adjacent interior angles</u>

  • 142° = x + 66°
  • x = 142° - 66°
  • x = 76°
<h3>Q16</h3>

<u>Same subject and isosceles triangle:</u>

  • x + x = 158°
  • 2x = 158°
  • x = 79°
<h3>Q17</h3>

<u>Same subject</u>

  • m∠QSR = m∠QPS + m∠PQS
  • 2x = x + m∠PQS
  • m∠PQS = 2x - x
  • m∠PQS = x

ΔPQS has two angles with the measure of x, hence their opposite sides are congruent and the triangle is isosceles

7 0
3 years ago
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