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4 years ago

1. which of these numbers is divisible by 12?

2 answers:

8 0

1. The only number divisible by 12 is 6 because 6 is the only number 12 can be divided by

2. None of the choices are correct because 14 cannot be divided by any of the options. Although still incorrect, the closest answer to the question is 56, because 56 is a MULTIPLE of 14.
.

Gala2k [10]4 years ago

6 0

1. 6 is the answer
2. 56 is divisible by 14

You might be interested in

The Wilson family had 5 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wi

Dafna11 [192]

Answer:

0.813

0.500

Step-by-step explanation:

Use binomial probability.

P = nCr p^r q^(n−r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this problem, n = 5, p = 0.5, and q = 0.5.

"At least 2 girls" means r = 2, 3, 4, or 5.

Or, we can use the complement.

P(at least 2 girls) = 1 − P(at most 1 girl)

P(at least 2 girls) = 1 − P(r=0 or r=1)

P(at least 2 girls) = 1 − ₅C₁ (0.5)¹ (0.5)⁵⁻¹ − ₅C₀ (0.5)⁰ (0.5)⁵⁻⁰

P(at least 2 girls) = 1 − 5 (0.5) (0.5)⁴ − 1 (1) (0.5)⁵

P(at least 2 girls) = 1 − 6 (0.5)⁵

P(at least 2 girls) ≈ 0.813

"At most 2 girls" means r = 0, 1, or 2.

P(at most 2 girls) = P(r=0, r=1, or r=2)

P(at most 2 girls) = ₅C₀ (0.5)⁰ (0.5)⁵⁻⁰ + ₅C₁ (0.5)¹ (0.5)⁵⁻¹ + ₅C₂ (0.5)² (0.5)⁵⁻²

P(at most 2 girls) = 1 (1) (0.5)⁵ + 5 (0.5) (0.5)⁴ + 10 (0.5)² (0.5)³

P(at most 2 girls) = 16 (0.5)⁵

P(at most 2 girls) = 0.500

4 0

3 years ago

Multiply the polynomials show steps

Karo-lina-s [1.5K]

Answer:

3 $a^{4}$ + 11a³ - 7a² + 18a - 18

Step-by-step explanation:

When multiplying with two brackets, you need to multiply the three terms, (a²), (4a) and (-6) from the first bracket to all the terms in the second brackets, (3a²), (-a) and (3) individually. I have put each multiplied term in a bracket so it is easier.

(a² + 4a - 6) × (3a² - a + 3) =

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3}

Now we can evaluate the terms in the brackets.

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3} =

3 $a^{4}$ + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)

We can open the brackets now. One plus and one minus makes a minus.

3 $a^{4}$ + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =

3 $a^{4}$ -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18

Evaluate like terms.

3 $a^{4}$ -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3 $a^{4}$ + 11a³ - 7a² + 18a - 18

5 0

3 years ago

PLEASE HELP! I’m struggling with each part any help will be amazing

Vlad [161]

Answer:

slope: -5/2

y-intercept: (0, 2)

Linear function: y = -5/2x + 2

Step-by-step explanation:

Given points (-2, 7) and (2, -3):

Use these points to solve for the slope of the line using the formula:

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) = (-2, 7)

(x2, y2) = (2, -3)

Substitute these values into the equation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 7) / [2 - (-2)]

m = -10/ (2 + 2)

m = -10/4 = -5/2

Therefore, the slope of the line in reduced form is m = -5/2.

The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis of the Cartesian grid. The y-intercept is also the value of y when x = 0.

To solve for the y-intercept, use one of the given points (2, -3) and the slope (m = -5/2), and substitute their values into the slope-intercept form:

y = mx + b

-3 = -5/2(2) + b

-3 = -5 + b

Add 5 to both sides to solve for the y-intercept, b:

-3 + 5 = -5 + 5 + b

2 = b

Given the value of b = 2, it means that the y-intercept is (0, 2).

Therefore, given the slope of -5/2, and the y-intercept, b = 2:

The linear equation in slope-intercept form is: y = -5/2x + 2

Please mark my answers as the Brainliest, if you find this helpful :)

5 0

3 years ago