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3 years ago

In the figure below, FJ and GI intersect at H to

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Answer:

Step-by-step explanation:

∠ FHI and ∠ JHI form a straight angle and are supplementary, thus

3x + x = 180, that is

4x = 180 ( divide both sides by 4 )

x = 45

Thus

∠ FHI = 3x = 3 × 45 = 135° → C

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Sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 peopl

disa [49]

Answer:

p value from chi square = 0.081

Step-by-step explanation:

Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05

p value = 0.09

Instead of this if we do chi square

H0: Proportion of music lovers is 5% and non music lovers is 95%

Ha: Proportions are not as per the estimate

(Two tailed chi square test)

Observed 83 1917 2000

Expected 100 1900 2000

O-E -17 17 0

chi square

(O-E)^2/E 2.89 0.1521 3.0421

df =1

p value from chi square = 0.081

Though p value is not exactly the same, the conclusion in both tests are the same

5 0

3 years ago

A science class has 2 girls and 6 boys in the seventh grade and 5 girls and 3 boys in the eighth grade. The teacher randomly sel

Radda [10]

9/7 chance she will picka boy

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3 years ago

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What shape is created by the rotation and what is the

zlopas [31]

Answer:

<u>Option D: A cylinder with a circumference of about 50 units</u>

Step-by-step explanation:

The rest of the question is the attached figure.

The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr

===================================================

Given: the perimeter of the square = 32

perimeter of a square is four times the length of its side

So, the side length of square = 32/4 = 8 units

The square is rotated about line k.

So, it will form a cylinder with radius 8 units.

Circumference of a circle = 2 π r

Where, r is the radius of the circle.

Circumference of the base is C = 2 π * 8

∴ C = 16π = 16 * 3.14

∴ C = 50.26548 ≈ 50

The shape is created by the rotation is a cylinder with a circumference of about 50 units.

<u>So, the answer option is D.</u>

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3 years ago

Solve the proportion for x.

BabaBlast [244]

The answer for the question is x=1

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3 years ago

Resolve the factors ( xy+z)^2 (y-xz)^2

skelet666 [1.2K]

Answer:

=x4y2z2−2x3y3z+2x3yz3+x2y4−4x2y2z2+x2z4+2xy3z−2xyz3+y2z2

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3 years ago

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