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3 years ago

Which data set is the most spread from its mean? 0 14, 26, 24, 28 022, 16, 18, 36 O 22, 28, 20, 22 021, 19, 27, 25

Mathematics

1 answer:

irinina [24]3 years ago

8 0

Answer:

22, 16, 18, 36

Step-by-step explanation:

the mean of the data set is 23 and the number 36 is 13 digits away from that therefore this data set is the most spread out.

have a great day :D

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Using the substitution method, answer the question. y=4x-3 y=-x+7

Nutka1998 [239]

Basically they're both equal
4x-3=x+7
-x. -x
3x-3=7
+3 +3
3x=10

X=10/3

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Prove: An even plus an even is an even 2n + 2m = [? ](n + m) = even

KonstantinChe [14]

Answer:

2(n + m)

Step-by-step explanation:

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3 years ago

A local gym charges a $100 initial membership fee and $19 for each month you stay a member. What are the x and y intercepts?

guapka [62]

Answer:

y-intercept = 100
x- intercept = -5.26

Step-by-step explanation:

$100 initial membership fee
$19 monthly fee

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y = 19x + 100

y- intercept:

x =0 ⇒ y = 19*0 + 100 ⇒ y = 100

x - intercept:

y = 0 ⇒ 0 = 19x + 100 ⇒ 19x = -100 ⇒ x = -100/19 ⇒ x = -5.26

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3 years ago

Suppose P(A) = 0.9, P(B) = 0.3, and P(B|A) = 0.2. What is P(A|B) ?

Elenna [48]

By definition of conditional probability,

$P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}\implies P(B\cap A)=0.2\cdot0.9=0.18$

Similarly,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.18}{0.3}=0.6$

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4 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 = 4.8

4. x ≈ 14.48

5. x ≈ 11.37

6. G.M. = 12·√3

7. G.M. = 6·√5

<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

ΔLJK is similar to ΔKJM by Angle–Angle, AA, similarity postulate

∠JLK ≅ ∠JLK by reflexive property

ΔLJK is similar to ΔLKM by AA similarity

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

ΔKJM ~ ΔLKM

2. ∠YWZ ≅ ∠YWZ by reflexive property

∠WXZ ≅ ∠YZW all 90° angle are congruent

ΔYWZ is similar to ΔZWX, by AA similarity postulate

∠XYZ ≅ ∠WYZ by reflexive property

∠YXZ ≅ ∠YZW all 90° are congruent

ΔYWZ is similar to ΔYZW by AA similarity postulate

Therefore;

ΔZWX ~ ΔYZW

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 12·√3

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 6·√5

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

brainly.com/question/12002948

brainly.com/question/12457640

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3 years ago

Which data set is the most spread from its mean? 0 14, 26, 24, 28 022, 16, 18, 36 O 22, 28, 20, 22 021, 19, 27, 25​

Which data set is the most spread from its mean? 0 14, 26, 24, 28 022, 16, 18, 36 O 22, 28, 20, 22 021, 19, 27, 25