Ask question

Ask question

All categories

3 years ago

7

If your spotify playlist has 100 songs on it, and it is playing randomly, how many ways can spotify choose to play the first 3 s

ongs without repeating a song?

1 answer:

Bumek [7]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

78% of those surveyed at the fair bought popcorn statistic or parameter

vlada-n [284]

Step-by-step explanation:

78% of those surveyed bought popcorn statistic or parameter. This means that significantly more than half of the given population bought popcorn statistic or parameter.

If the population is, say ten thousand, then 78% of 10000 is

10000 × 78/100 = 7800.

Which is more than half the whole population.

3 0

2 years ago

PLEASE HELP HELP HELP HELP

Rus_ich [418]

You write nite so I will help

6 0

3 years ago

Find the unknown side length, x. Write your answer in simplest radical form.

Volgvan

Using the Pythagorean Theorem, you should get 45 [9 + 36]. Then, take the square root of 45 and simplify it to 3√5.

3 0

3 years ago

Unit 8 right triangles and trigonometry homework 3 similar right triangles and geometric mean

Ugo [173]

The right triangles that have an altitude which forms two right triangles

are similar to the two right triangles formed.

Responses:

1. ΔLJK ~ ΔKJM

ΔLJK ~ ΔLKM

ΔKJM ~ ΔLKM

2. ΔYWZ ~ ΔZWX

ΔYWZ ~ ΔYZW

ΔZWX ~ ΔYZW

3. x = <u>4.8</u>

4. x ≈ <u>14.48</u>

5. x ≈ <u>11.37</u>

6. G.M. = <u>12·√3</u>

7. G.M. = <u>6·√5</u>

<u />

<h3>What condition guarantees the similarity of the right triangles?</h3>

1. ∠LMK = 90° given

∠JMK + ∠LMK = 180° linear pair angles

∠JMK = 180° - 90° = 90°

∠JKL ≅ ∠JMK All 90° angles are congruent

∠LJK ≅ ∠LJK reflexive property

<u>ΔLJK is similar to ΔKJM</u> by Angle–Angle, AA, similarity postulate

∠JLK ≅ ∠JLK by reflexive property

<u>ΔLJK is similar to ΔLKM</u> by AA similarity

By the property of equality for triangles that have equal interior angles, we have;

<u>ΔKJM ~ ΔLKM</u>

2. ∠YWZ ≅ ∠YWZ by reflexive property

∠WXZ ≅ ∠YZW all 90° angle are congruent

<u>ΔYWZ is similar to ΔZWX</u>, by AA similarity postulate

∠XYZ ≅ ∠WYZ by reflexive property

∠YXZ ≅ ∠YZW all 90° are congruent

<u>ΔYWZ is similar to ΔYZW</u> by AA similarity postulate

Therefore;

<u>ΔZWX ~ ΔYZW</u>

3. The ratio of corresponding sides in similar triangles are equal

From the similar triangles, we have;

$\dfrac{8}{10} = \mathbf{ \dfrac{x}{6}}$

8 × 6 = 10 × x

48 = 10·x

$x = \dfrac{48}{10} = \underline{4.8}$

3. From the similar triangles, we have;

$\mathbf{\dfrac{20}{29}} = \dfrac{x}{21}$

20 × 21 = x × 29

420 = 29·x

$x = \dfrac{420}{29 } \approx \underline{14.48}$

4. From the similar triangles, we have;

$\mathbf{\dfrac{20}{52}} = \dfrac{x}{48}$

20 × 48 = 52 × x

$x = \dfrac{20 \times 48}{52} = \dfrac{240}{13} \approx \underline{18.46}$

5. From the similar triangles, we have;

$\mathbf{\dfrac{13.2}{26}} = \dfrac{x}{22.4}$

13.2 × 22.4 = 26 × x

$x = \dfrac{13.2 \times 22.4}{26} \approx \underline{ 11.37}$

6. The geometric mean, G.M. is given by the formula;

$G.M. = \mathbf{\sqrt[n]{x_1 \times x_2 \times x_3 ... x_n}}$

The geometric mean of 16 and 27 is therefore;

$G.M. = \sqrt[2]{16 \times 27} = \sqrt[2]{432} = \sqrt[2]{144 \times 3} = \mathbf{12 \cdot \sqrt{3}}$

The geometric mean of 16 and 27 is <u>12·√3</u>

<u />

7. The geometric mean of 5 and 36 is found as follows;

$G.M. = \sqrt[2]{5 \times 36} = \sqrt[2]{180} = \sqrt[2]{36 \times 5} = \mathbf{ 6 \cdot \sqrt{5}}$

The geometric mean of 5 and 36 is <u>6·√5</u>

Learn more about the AA similarity postulate and geometric mean here:

brainly.com/question/12002948

brainly.com/question/12457640

7 0

2 years ago

When reading the computer output, the regression equation is typically buried among other statistics. The value of the slope is

Sauron [17]

Number of aircrafts = 2939.93 + 233.517 * (years since 1990).

The predicted number of aircrafts flying in 1992 (1922 does not make sense for this equation because it returns a negative number of aircrafts) is found by pluging in the years since 1990 to 1992 = 1992 -1990 = 2 =>

number of aircrats = 2939.93 + 233.517 * (2) = 3406.96.

That is the predicted number.

The actual number is on the graph. You just go to the explanatory value 2 (years since 1990) on the horizontal axis, move straight upward until you reach the corresponding point on the graph, and read its vertical coordinate (go horizontally to the left until the vertical axis)

6 0

2 years ago