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Sloan [31]
3 years ago
10

PLEASE HELP! look at picture 20 points!

Mathematics
2 answers:
zhuklara [117]3 years ago
7 0
4th option is right answer
weqwewe [10]3 years ago
4 0

Answer:

\dfrac{2^3•5^2}{2^5•3•5^4}

=\dfrac{1}{2^2•3•5^2}

Fourth option is the right answer.

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A company logo is made up of a square and three identical triangles. What is the area of the logo? Enter your answer in the box.
garri49 [273]
Given:
square with sides measuring 7 cm.
3 triangles attached to three sides of the square. A line bisecting one triangle is measured at 4 cm.

Area of a square = s² = (7cm)² = 49 cm²

Area of a triangle = hb/2 = (4cm*7cm)/2 = 14 cm² 
Area of the 3 triangles = 14 cm² x 3 = 42 cm²

Total area of the logo = 49 cm² + 42 cm² = 91 cm²
7 0
2 years ago
Read 2 more answers
To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children.
KATRIN_1 [288]

Answer:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

Test statistic, t = -0.00693

p- value = 0.498

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 level of significance

Step-by-step explanation:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

The test statistic for t test is;

t=\dfrac{(\bar{x}_1-\bar{x}_2)}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}

The mean

Height of Father, h₁,  Height of Son h₂

72.4,      77.5

70.6,      74.1

73.1,       75.6

69.9,      71.7

69.4,      70.5

69.4,      69.9

68.1,       68.2

68.9,      68.2

70.5,       69.3

69.4,       67.7

69.5,       67

67.2,       63.7

70.4,       65.5

\bar x_1  = 69.6      

s₁ = 1.58

\bar x_2 = 69.9

s₂ = 3.97

n₁ = 13

n₂ = 13

t=\dfrac{(69.908-69.915)}{\sqrt{\dfrac{3.97^{2}}{13}-\dfrac{1.58^{2} }{13}}}

(We reversed the values in the square root of the denominator therefore, the sign reversal)

t = -0.00693

p- value = 0.498 by graphing calculator function

P-value > α Therefore, we do not reject the null hypothesis

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 lvel of significance

8 0
3 years ago
Subtract (-8+2x^3) from (3x^3-4-3x)
Harman [31]

\to \sf(3x^3-4-3x) - (-8+2x^3)

\to \sf(3x^3-4-3x)  + 8 - 2x^3

\to \sf3x^3-4-3x  + 8 - 2x^3

\to \sf3x^3 - 2x^3-3x  +4

\to \sf x^3-3x  +4

3 0
2 years ago
Read 2 more answers
Evaluate: 2x + 5x - 11 = -46
TiliK225 [7]

Answer:

x=-5

Step-by-step explanation:

Combine like terms: 7x-11=-46

Add 11 to -46: -35

Divide: 7x/-35

ANSWER: x=-5

4 0
2 years ago
Find the missing endpoint if one endpoint is at (-9,-1) and the midpoint is at (-2,-6)
alexdok [17]

Answer:

don´t know sorrry

Step-by-step explanation:

4 0
3 years ago
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