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alisha [4.7K]
3 years ago
10

Use the Binomial Theorem to expand each binomial (2x-1)^6

Mathematics
1 answer:
pantera1 [17]3 years ago
8 0
64x^6 - 192x^5 + 240x^4 - 160x^3 + 60x^2 - 12x + 1
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Round 285.20 to the nearest tenth
Andru [333]

Answer:

285.2

Step-by-step explanation:

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3 years ago
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Which of the following is a rational number
denis-greek [22]

Answer:

so it will be -55

Step-by-step explanation:

\sqrt{83} is not a rational number

-55 is a rational number

\sqrt{96} is not a rational number

π is not rational number

Let me know if i'm right :(

5 0
3 years ago
3y + 7 = x is this a direct proportion
Tju [1.3M]

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no

Step-by-step explanation:

if the ratio (yx) of two variables (x and y) is equal to a constant (k=yx) .in this case y is said to be directly proportional to x with proportionality constant k

3 0
2 years ago
Find the inverse of the function y = 2x2 + 2
Anvisha [2.4K]
We have that
y = 2x²<span> + 2

step 1

</span><span>exchange the value of x for y and the value of y for x
</span>y = 2x² + 2------> x=2y²+2

step 2
clear y variable
 x=2y²+2----> 2y²=x-2----> y²=[(x-2)/2]-----> y=(+/-)√[(x-2)/2]

step 3
the inverse is
f(x)-1=(+/-)√[(x-2)/2]

8 0
3 years ago
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Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
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