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stich3 [128]
4 years ago
7

What is 15 square root to the nearest tenth

Mathematics
1 answer:
Alex787 [66]4 years ago
8 0
Mathematically the answer would be a never ending decimal (3.87298...) but in this case it would be 3.9
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A bit is a 0 or a 1. A bit string of length 8 is a sequence of 8 digits, all of which are either 0 and 1.
andrezito [222]

Answer:

a) N = 2^8 = 256

b)N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1

Step-by-step explanation:

Given;

String of length 8, with two options (0 or 1) each.

a) for the number of bits of strings of length 8.

Each digit of the 8 digit string has 2 options.

For 8 digit, we have

N = 2×2×2.... = 2^8 =256

b) for bit of strings of length 8 or less.

For n string = 2^n

For n < 8

The number of bit strings for length 8 or less are;

N = N8 +N7 + N6 + ... +N1

N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1

8 0
3 years ago
Which best represent the solution for the inequality shown? x−2−3≤5
Murljashka [212]

Answer:

x≤10

Step-by-step explanation:

7 0
3 years ago
Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of bra
Stella [2.4K]

Answer:

The 95% confidence interval would be given by -23.44 \leq \mu_1 -\mu_2 \leq -8.16  

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X_1 =114.1 represent the sample mean 1

\bar X_2 =129.9 represent the sample mean 2

n1=5 represent the sample 1 size  

n2=2 represent the sample 2 size  

s_1 =5.08 sample standard deviation for sample 1

s_2 =5.37 sample standard deviation for sample 2

\mu_1 -\mu_2 parameter of interest.

Confidence interval

The confidence interval for the difference of means is given by the following formula:  

(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}} (1)  

The point of estimate for \mu_1 -\mu_2 is just given by:

\bar X_1 -\bar X_2 =114.1-129.9=-15.8

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n_1 +n_2 -1=5+5-2=8  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that t_{\alpha/2}=\pm 2.31  

The standard error is given by the following formula:

SE=\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}

And replacing we have:

SE=\sqrt{\frac{5.08^2}{5}+\frac{5.37^2}{5}}=3.306

Confidence interval

Now we have everything in order to replace into formula (1):  

-15.8-2.31\sqrt{\frac{5.08^2}{5}+\frac{5.37^2}{5}}=-23.437  

-15.8+2.31\sqrt{\frac{5.08^2}{5}+\frac{5.37^2}{5}}=-8.163  

So on this case the 95% confidence interval would be given by -23.44 \leq \mu_1 -\mu_2 \leq -8.16  

8 0
3 years ago
Find the value of c that completes the square.
lesya [120]

Answer:

C. 400

Step-by-step explanation:

{v}^{2}  - 40v + c  \\  =  {v}^{2}  - 2.20.v +  {20}^{2}  \\  =  {v}^{2}  - 2.20.v +  400 \\ c = 400

4 0
3 years ago
What is the volume of the rectangular prism?<br> 3 cm<br> 3 cm<br> 3 cm
Zanzabum

Answer:

Step-by-step explanation:

9

5 0
3 years ago
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