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3 years ago

Determine the range of the function graphed below. Answer choices are below as well

Mathematics

1 answer:

Softa [21]3 years ago

5 0

Answer:

The range of the function will be (- ∞, 4].

Step-by-step explanation:

See the graph attached.

Here we have to get the range of the graphed function.

The value of y in the graphed function varies in the range of less than or equal to 4.

Because the graph of the function does not move beyond 4 towards +∞.

Therefore, the range of the function will be (- ∞, 4]. (Answer)

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pishuonlain [190]

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Step-by-step explanation:

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3 years ago

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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

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3 years ago

What's the perimeter?

zavuch27 [327]

Answer: D. 56 Units?

Explanation:
Side 1 - 9
Side 2 - 4
Side 3 - 4
Side 4 - 8
Side 5 - 11
Side 6 - 3
Side 7 - 2
Side 8 - 15

Added together: 56

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3 years ago

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Twice the sum of a number and 3 is equal to three times the difference of the number and 6. Find the number.

vfiekz [6]

Answer: 5

Step-by-step explanation:

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2 years ago

Which representation of a transformation on a coordinate grid does not preserve congruence?

Alex17521 [72]

Answer:

Step-by-step explanation:

Consider all options:

A. Transformation with the rule

$(x,y)\rightarrow (x,-y)$

is a reflection across the x-axis.

Reflection across the x-axis preserves the congruence.

B. Transformation with the rule

$(x,y)\rightarrow \left(\dfrac{7}{8}x,\dfrac{7}{8}y\right)$

is a dilation with a scale factor of $\frac{7}{8}$ over the origin.

Dilation does not preserve the congruence as you get smaller figure.

C. Transformation with the rule

$(x,y)\rightarrow (x+6,y-4)$

is a translation 6 units to the right and 4 units down.

Translation 6 units to the right and 4 units down preserves the congruence.

D. Transformation with the rule

$(x,y)\rightarrow (y,-x)$

is a clockwise rotation by $90^{\circ}$ angle over the origin.

Clockwise rotation by $90^{\circ}$ angle over the origin preserves the congruence.

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3 years ago