Convert standard form 4x-2y=6

What is the probability of flipping a coin and having heads land up five times in a row

Phantasy [73]

Answer:

1/32

Step-by-step explanation:

P(heads) = 1/2

P(5 heads) = (1/2)⁵ = 1/32

5 0

3 years ago

The graph of f(x) was vertically translated down by a value of k to get the function g(x) = 5x + k. What is the value of k? A -7

Nadya [2.5K]

Answer:

${\boxed{\text{A. }\math{k = -7}}$

Step-by-step explanation:

The general rule for vertical translation of a function ƒ(x) ⟶ ƒ(x) + k .

A positive value of k means that the graph is shifted up by k units.

The graph of ƒ(x) was shifted from (0, 1) to (0, -6).

$\text{The graph was shifted down by seven units, so }{\boxed{\mathbf{k = -7}}$

4 0

4 years ago

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What is the value of x? 2 3 6 7

Romashka-Z-Leto [24]

Answer:

x = 2

Step-by-step explanation:

By the property of intersecting chords outside of the circle.

$EC \times ED = EB \times EA \\ (x + 4)(x + 4 + 1) = (x + 1)(x + 1 + 11) \\ (x + 4)(x + 5) = (x + 1)(x + 12) \\ {x}^{2} + (4 + 5)x + 20 = {x}^{2} + (1 + 12)x + 12 \\ 9x + 20 = 13x + 12 \\ 9x - 13x = 12 - 20 \\ - 4x = - 8 \\ x = \frac{ - 8}{ - 4} \\ \huge \red{ \boxed{x = 2}}$

7 0

3 years ago

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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes

kifflom [539]

We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

$\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47$