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sdas [7]
3 years ago
5

2cos2+cos2(2)−2cos2cos2=1​

Mathematics
1 answer:
vekshin13 years ago
8 0
The left side
1.99999925
1.99999925
does not equal to the right side
1
1
, which means that the given statement is false.
You might be interested in
There are 60 seats on a train. 6 of the seats are empty. What percentage of the seats on the train are empty?
sergij07 [2.7K]

Answer:

10%

Step-by-step explanation:

  1. Set up a proportion: \frac{6}{60} = \frac{x}{100}  
  2. Cross multiply, then divide: 6 × 100 = 600, 600 ÷ 60 = 10
  3. 10/100 = 10%

I hope this helps!

6 0
2 years ago
Find three consecutive EVEN integers such that the sum of the smallest number and twice the middle number is 20 more than the la
nordsb [41]

define the 3 numbers

smallest number = x

middle number = x + 2

largest number = x + 4

write the equation

sum of the smallest number and twice the middle number

\begin{gathered} x+2(x+2) \\ x+2x+4 \\ 3x+4 \end{gathered}

20 more than the largest number

\begin{gathered} x+4+20 \\ x+24 \end{gathered}

equal the expressions

\begin{gathered} 3x+4=x+24 \\ 3x-x=24-4 \\ 2x=20 \\ x=\frac{20}{2} \\ x=10 \end{gathered}

the numbers should be 10, 12 and 14

\begin{gathered} 10+2\cdot(12)=14+20 \\ 10+24=34 \\ 34=34 \end{gathered}

5 0
11 months ago
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
attashe74 [19]

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

8 0
3 years ago
Which ratio is equivalent to 1:1
Lynna [10]

Answer:

the answer is 1

because 1 is not multiple in our self

6 0
3 years ago
Please help with Geometry homework!!! Will give brainliest and 50 points to whoever answers first!!!
melomori [17]

Answer:

x = 42.5

Step-by-step explanation:

It is said:

If two angles are not corresponding, then they make up 180°. They are more known as supplementary angles.

So the equation is:

a + b = 180°

Substitute

x + 8 + 3 x + 2 = 180°

x + 3x + 8 + 2 = 180°

4x + 10° = 180°

4x = 180° - 10°

4x = 170°

x = 170° ÷ 4

x = 42.5

6 0
2 years ago
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