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3 years ago

1.) What is the slope of the line perpendicular to a line with the slope of 2/3?

Mathematics

1 answer:

daser333 [38]3 years ago

8 0

Answer:

-3/2

Explanation:

Slopes of perpendicular lines are opposite reciprocals, which means you flip them and switch them from positive to negative, or the other way around.

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Fraction word problems Your strip of paper represents one lap on a track. Three students ran a relay and took turns running equa

artcher [175]

Answer:

A quarter $(\dfrac{1}{4})$ of one lap of the track.

Step-by-step explanation:

Three students ran ran a relay and took turns running equal parts of the track.

The race was three-fourths of a lap long.

Let the length of one lap of the track=x

The length of the race $=\frac{3}{4}x$

Since each of the students ran equal part,

Length run by each student

$=\dfrac{3}{4}x \div 3\\=\dfrac{3}{4}x X \dfrac{1}{3}\\=\dfrac{1}{4}x$

Therefore, each student ran a quarter $(\dfrac{1}{4})$ of one lap of the track.

5 0

3 years ago

2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.

Alexeev081 [22]

Answer:

$\frac{18}{40}=0.45$

Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.

Step-by-step explanation:

1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.

2) Here are the most common outcomes, as long as we continue on flipping coins.

$\frac{18}{40}=0.45$

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5

This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

$S_{80}=0.503\\S_{120}=0.50$

6 0

3 years ago

in a school gym, the ratio of the number of boys to the number of girls was 4:3 . after 160 boys left the gym, the ratio became

Annette [7]

Answer:

300 girls were there in the gym.

Step-by-step explanation:

Given:

The ratio of the number of boys to the number of girls was 4:3, after 160 boys left the gym, the ratio became 4:5.

Now, to find the number of girls in the gym.

The girls in the gym does not left, their quantity is same before and after.

So, we multiply the both ratios to make the girls ratio same:

4:3 × 5 = 20:15

4:5 × 3 = 12:15

Now, <em>we find the units of the ratio</em>.

<em>The ratio of boys dropped down by 160</em>:

20 - 12 = 8 units.

160 = 8 units

Now, dividing both sides by 8 we get:

20 = 1 unit

So, 1 unit = 20.

Now, girls = 15 units

So, 15 × 20 = 300.

Therefore, 300 girls were there in the gym.

3 0

3 years ago

Order the sides or angles of the triangle from least to greatest

Iteru [2.4K]

Sides:6.7,9.3,9.5

Tell me if that helps

6 0

3 years ago

Is Every integer is a real number?

Montano1993 [528]

Answer:

Yes.

Step-by-step explanation:

7 0

3 years ago