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Monica [59]
2 years ago
7

(Giving brainliest and 40 points)

Mathematics
1 answer:
Degger [83]2 years ago
5 0

Answer:

1360 m³

Step-by-step explanation:

To determine the volume of a compound 3D shape, divide the 3D shape into multiple 3D known shapes. Then, determine the volume of those "3D known shapes" and sum them up to determine the volume (figure).

In this figure, we can see two cuboids forming the figure. Therefore,

⇒ V (Figure) = V (Cuboid₁) + V (Cuboid₂)

The formula to determine the volume of a cuboid is the measure of the length, multiplied to the product of the width and the height.

⇒ V (Cuboid) = L × (W × H)   or   L × W × H

Therefore, the volume of cuboid₁ is;

⇒ V (Figure) = [L (Cuboid₁) × W (Cuboid₁) × H (Cuboid₁)] + V (Cuboid₂)

When we substitute the dimensions of the cuboid₁ , we get;

⇒ V (Figure) = [8 × 5 × 22] + V (Cuboid₂)

Which when simplified, we get;

⇒ V (Figure) = [880] + V (Cuboid₂)

The same should be done to cuboid₂. Therefore,

⇒ V (Figure) = [880] + [L (Cuboid₂) × W (Cuboid₂) × H (Cuboid₂)]

When we substitute the measures in the equation, we get;

⇒ V (Figure) = [880] + [8 × 5 × 12]

Which when simplified, we get;

⇒ V (Figure) = [880] + [40 × 12]

⇒ V (Figure) = [880] + [480]

⇒ V (Figure) = 1360 m³

Therefore, the volume of the figure is 1360 m³.

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The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience h
Ganezh [65]

Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

P = P(Z > 0.75) = 0.22663

α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

-0.684 ÷ 0.8 = 0.75

= - 0.855

P(Z < - 0.855) = 0.1963 (Z probability calculator).

95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

8 0
2 years ago
Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?
xxTIMURxx [149]

Answer:

x² + y² = 34

Formula:

  • (x - h)² + (y - k)² = r²                    where (h, k) is the center

<u>Here find the radius using distance formula</u>:                → origin : (0, 0)

  • √(x2-x1)²+(y2-y1)²
  • √(3-0)²+(5-0)²
  • √9+25
  • √34

<u>Thus the equation of circle</u>:

  • (x - 0)² + (y - 0)² = (√34)²
  • (x - 0)² + (y - 0)² = 34
  • x² + y² = 34

7 0
2 years ago
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Katyanochek1 [597]
I believe that it is 34
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Answer:

Step-by-step explanation:

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=7/9 ((10+10^2+10^3...n)-(1+1+1+1.....n))

=7/9 ((10 (10^n-1)/(10-1))-n)

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Svetradugi [14.3K]
1/10000 every try














..................
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