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3 years ago

Which letter has neither line symmetry nor rotational symmetry?

Mathematics

2 answers:

sp2606 [1]3 years ago

5 0

Answer:

F,G,J,L,P,Q,R

Step-by-step explanation:

Line of Symmetry

When a alphabet can be divided into two equal or symmetric part with a help of line, then it is known to have a line of symmetry.

Rotational Symmetry

When an alphabet after some rotation(not full rotation of 360 degrees) produces the same alphabet again, then the alphabet is supposed to rotational symmetry.

Letters that neither have line of symmetry and rotational symmetry:

F,G,J,L,P,Q,R

Inga [223]3 years ago

4 0

FGJLPQR Are some letters with no rotational or line symmetry

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Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group

Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

5 0

3 years ago

The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.

mixas84 [53]

Answer:

C, E

Step-by-step explanation:

Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.

The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...

x² +y² -4x -6y +8 = 0

Subtracting 8 puts us in better position to complete the squares.

x² +y² -4x -6y = -8

Now, we can add the squares of half the coefficients of the linear terms.

(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C

And we can simplify this to the standard form equation:

(x -2)² +(y -3)² = 5 . . . . . matches E

3 0

2 years ago

PLS HELPS!! THIS IS WORTH 200 PTS!! FIRST ONE ASNWERS CORRECTLY, GETS THE BRAINIEST.

Verizon [17]

Answer:

B) −2

Explanation:

When x is positive then y is positive integer.

When x is negative then y is negative integer.

For Option A

y = 2(-3) + 5

y = -1 [x is negative so is y]

For Option B

y = 2(-2) + 5

y = 1 [x is negative but y is positive]

For Option C

y = 2(1) + 5

y = 7 [x is positive so is y]

For Option D

y = 2(2) + 5

y = 9 [x is positive so is y]

8 0

3 years ago

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Henry's current age is 10 times Justin's current age. In 6 years Henry's age will be 4 times Justin's age. Which system of equat

Anna11 [10]

The answer is C: H=10J
H+6=4(J+6)

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3 years ago

In one region, the september energy consumption levels for single-family homes are found to be normally distributed with a mean

tatyana61 [14]

The probability would be 0.1971.

We will calculate a z-score for each end of this interval.

z = (X-μ)/σ

For the lower limit:
z = (1100-1050)/218 = 50/218 = 0.23

For the upper limit:
z = (1225-1050)/218 = 175/218 = 0.80

Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, the lower limit is 0.5910. The area under the curve to the left of, less than, the upper limit is 0.7881. To find the area between them, we subtract:

0.7881 - 0.5910 = 0.1971

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3 years ago

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