Answer all please thanks .

An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at le

hoa [83]

Answer:

0.999

Step-by-step explanation:

At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.

<em>Instead we use the complement rule to calculate.</em>

<em />

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In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,

Probability of 10 incorrect is (1/2)^10

Thus,

$P(x\geq1)=1-(\frac{1}{2})^{10}=0.999$

So the answer is 0.999 (rounded to nearest thousandth)

3 0

3 years ago

What is 10 to the power of 6

Yakvenalex [24]

10^6 can also be written as 10*10*10*10*10*10 which is equal to 1000000 (1 million)

Hope it helps :)

8 0

3 years ago

Read 2 more answers

I need help figuring out what I did wrong

rewona [7]

Answer:

D

Step-by-step explanation:

Using the addition formula for sine

sin(a + b) = sinacosb + cosasinb

and the exact values

sin( $\frac{\pi }{4}$ ) = cos( $\frac{\pi }{4}$ ) = $\frac{\sqrt{2} }{2}$ , cos( $\frac{\pi }{6}$ ) = $\frac{\sqrt{3} }{2}$ , sin( $\frac{\pi }{6}$ ) = $\frac{1}{2}$

Note that $\frac{5\pi }{12}$ = $\frac{\pi }{4}$ + $\frac{\pi }{6}$ , thus

sin( $\frac{5\pi }{12}$ )

= sin( $\frac{\pi }{4}$ + $\frac{\pi }{6}$ )

= sin( $\frac{\pi }{4}$ )cos( $\frac{\pi }{6}$ ) + cos( $\frac{\pi }{4}$ )sin( $\frac{\pi }{6}$ )

= ( $\frac{\sqrt{2} }{2}$ × $\frac{\sqrt{3} }{2}$ ) + ( $\frac{\sqrt{2} }{2}$ × $\frac{1}{2}$ )

= $\frac{\sqrt{6} }{4}$ + $\frac{\sqrt{2} }{4}$

= $\frac{\sqrt{6}+\sqrt{2} }{4}$ → D

4 0

3 years ago

Read 2 more answers

Find two consecutive integers whose sum is -13

Lemur [1.5K]

Answer:

-6 and -7

Step-by-step explanation:

Set up an equation: x+x+1=-13 2x=-14 x=-7. Since it is negative, you go down 1. -6 and -7 hope this helps plz mark brainliest if correct

4 0

3 years ago

A 400 second song is divided into three parts the beginning the middle and the end the beginning is one sixth as long as the end

ikadub [295]

The beginning, middle and end part of the song is 40, 120 and 240 seconds respectively

<h3 /><h3>How to find equation of the unknown</h3>

let

x = end part
Beginning = 1/6x
Middle = 1/2x
Total = 400 seconds

x + 1/6x + 1/2x = 400

(6x+x+3x) / 6 = 400

10/6x = 400

x = 400 ÷ 10/6

x = 400 × 6/ 10

= 2400 / 10

= 240 seconds

Therefore,

End part = x

= 240 seconds

Beginning = 1/6x

= 1/6 × 240

= 40 seconds

Middle = 1/2x

= 1/2 × 240

= 120 seconds

Complete question:

The beginning is one sixth as long as the end. The middle is one half as long as the end. Find the length of each part

Learn more about equation of the unknown:

brainly.com/question/4344214

#SPJ1

3 0

2 years ago