Simplify Rewrite the expression in the form aⁿ a⋅a⁷=

Help please I really need help and thank you :))))

77julia77 [94]

Answer:

14) x = 30°

15) x = 50°

Step-by-step explanation:

14) 60 + x = 90

x = 90 - 60

x = 30°

15) 130 + x = 180

x = 180 - 130

x = 50°

Hope this helps

3 0

2 years ago

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In the triangles, and . Which statement correctly compares the angles? Angle G is congruent to angle P. Angle G is smaller than

GalinKa [24]

Answer: angle g

Step-by-step explanation: Angle G is smaller than angle P. Angle G is larger than angle P. Angle G is congruent to angle N. 2 Consider the triangle.

3 0

3 years ago

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Determine the values of X, Y and Z on the following number line: HH X -11 Y 9 Z

Dmitrij [34]

-11 y 17 with z and x on the line

3 0

3 years ago

A gambler has a coin which is either fair (equal probability heads or tails) or is biased with a probability of heads equal to 0

yawa3891 [41]

Answer:

(a) 0.1719

(b) 0.3504

Step-by-step explanation:

For every coin the number of heads follows a Binomial distribution and the probability that x of the 10 times are heads is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{10-x}$

Where n is 10 and p is the probability to get head. it means that p is equal to 0.5 for the fair coin and 0.3 for the biased coin

So, for the fair coin, the probability that the number of heads is less than 4 is:

$P(x$

Where, for example, P(0) and P(1) are calculated as:

$P(0)=\frac{10!}{0!(10-0)!}*0.5^0*(1-0.5)^{10-0}=0.0009\\P(1)=\frac{10!}{1!(10-1)!}*0.5^1*(1-0.5)^{10-1}=0.0098$

Then, $P(x$ , so there is a probability of 0.1719 that you conclude that the coin is biased given that the coin is fair.

At the same way, for the biased coin, the probability that the number of heads is at least 4 is:

$P(x\geq4 )=P(4)+P(5)+P(6)+...+P(10)$

Where, for example, P(4) is calculated as:

$P(4)=\frac{10!}{4!(10-4)!}*0.3^4*(1-0.3)^{10-4}=0.2001$

Then, $P(x\geq4 )=0.3504$ , so there is a probability of 0.3504 that you conclude that the coin is fair given that the coin is biased.

7 0

3 years ago

Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed. x + y ≤ 6

leva [86]

Answer: The graph is attached.

Step-by-step explanation:

The region is limited by two lines:

$x+y=6$ and $x=4$

You can write the first inequlity $x+y\leq6$ in the following form:

$y\leq-x+6$

This region are all the values for which the y-axis is less than the line f(x)=x+6 (all the values under the line).

The other inequality x ≤ 4 are all the values for which the x-axis is less than the line x=4 (all the values to the left of the line).

Observe the graphs attached.

6 0

3 years ago

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SimplifyRewrite the expression in the form aⁿa⋅a⁷=