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aniked [119]
3 years ago
14

?/15•3/5=1/25 what does ? equal.

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

? = 1

Step-by-step explanation:

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Verify that the equation is an identity sec X - COS X= sin x tan x To verify the identity, start with the more complicatad side
notka56 [123]

You have the following equation:

secx - cosx = sinxtanx

In order to verify the previous identity, you show that the left side is equal to the right side. You proceed as follow:

secx - cosx = 1/cosx - cosx

to get the same denominators multiply by cosx/cosx in the second term:

1/cosx - cos²x/cosx

add the homogeneus fractions:

(1 - cos²x)/cosx

use the identity sin²x + cos²x = 1 => 1 - cos²x = sin²x

sin²x/cosx

write sin²x as sinxsinx

(sinx)(sinx/cosx)

separate the expression into two factors by replacing sinx/cosx = tanx

(sinx)(tanx)

Then, the given equation is an identity and it has been demonstrated that

secx - cosx = sinx tanx

3 0
1 year ago
Out of 2,000 random but normally distributed numbers with a mean of 45 and a standard deviation of x, approximately 1,360 number
Lilit [14]
Let Y denote the random variable representing a given number in the total set of numbers. We're told that \dfrac{1360}{2000}=0.68 of the numbers fall within a given range, so we know

\mathbb P(40\le Y\le50)=0.68

where Y is normally distributed with mean 45 and an unknown variance x^2.

Let's make the transformation to a random variable with a standard normal distribution:

\mathbb P\left(\dfrac{40-45}x\le\dfrac{Y-45}x\le\dfrac{50-45}x\right)=\mathbb P\left(-\dfrac5x\le Z\le\dfrac5x\right)

Since Z is symmetric, we have

\mathbb P(-\dfrac5x\le Z\le\dfrac5x\right)=2\mathbb P\left(0\le Z\le\dfrac5x\right)=2\bigg(\mathbb P\left(Z\le\dfrac5x\right)-\mathbb P(Z\le0)\bigg)

The mean of Z is 0, and by symmetry we know that exactly half of the distribution falls to the left of Z=0, so \mathbb P(Z\le0)=0.5. We're left with

0.68=2\mathbb P\left(Z\le\dfrac5x\right)-2\cdot0.5
\implies\mathbb P\left(Z\le\dfrac5x\right)=0.84

This probability corresponds to a value of Z\approx0.9945, which means

\dfrac5x\approx0.9945\implies x\approx5.0277
7 0
3 years ago
25(y+1)-x^2(y+1) i don't know the answer
natita [175]
It seems like you've begun to group and factored out the GCF.

Because the inner binomials (the ones in parentheses) are the same, the next step is to rewrite the equation like so:

(25-x^2)(y+1)

From here, we can further factor (25-x^2) since they are both perfect squares.

(5+x)(5-x)(y+1)

No further terms can be factored so that is the final answer. Hope this helps!
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3 years ago
Who got insta gramm I need help with my assignments I’ll pay u 30$
Ira Lisetskai [31]

Answer:

ddddddddddeeee

Step-by-step explanation:

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3 years ago
Read 2 more answers
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ycow [4]

Answer:

You're correct

Step-by-step explanation:

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2 years ago
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