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3 years ago

A dog walks at a speed of 5 m/s for 200 seconds. what distance did the dog travel

Mathematics

2 answers:

Zigmanuir [339]3 years ago

7 0

Answer: wwww

Step-by-step explanation:

olga nikolaevna [1]3 years ago

7 0

Answer:

1000 m

Step-by-step explanation:

distance equals speed times time.

so I multiplied the speed (5 m/s) and time (200 seconds) to get distance (1000)

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A random sample of 20 students yielded a mean of ¯x = 72 and a variance of s2 = 16 for scores on a college placement test in mat

Helen [10]

Answer:

The 98% confidence interval for the variance in the pounds of impurities would be $8.400 \leq \sigma^2 \leq 39.827$ .

Step-by-step explanation:

1) Data given and notation

$s^2 =16$ represent the sample variance

s=4 represent the sample standard deviation

$\bar x$ represent the sample mean

n=20 the sample size

Confidence=98% or 0.98

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 mean or variance 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.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.01,19)" "=CHISQ.INV(0.99,19)". so for this case the critical values are:

$\chi^2_{\alpha/2}=36.191$

$\chi^2_{1- \alpha/2}=7.633$

And replacing into the formula for the interval we got:

$\frac{(19)(16)}{36.191} \leq \sigma^2 \leq \frac{(19)(16)}{7.633}$

$8.400 \leq \sigma^2 \leq 39.827$

So the 98% confidence interval for the variance in the pounds of impurities would be $8.400 \leq \sigma^2 \leq 39.827$ .

7 0

3 years ago

Solve for p in the literal equation 3p + 41 =q.

denis23 [38]

Answer:

The answer is 44 because 3+41=44

7 0

2 years ago

Can someone tell me if i got this right? its all i need

Alexxx [7]

Answer:

No, the answer is 120 plants per square foot

Step-by-step explanation:

What I did was first figure up the area of the triangle. You want to do this because the area will tell you how many square feet are in the garden. In order to find this, you need to use this formula: 1/2 b·h

Plug in the numbers like this: 1/2·15·8

15 is the base of the triangle, while 8 is the height of the triangle. Now solve your equation.

15·8=120

1/2·120=60

Area = 60

Now you know that the area is 60ft². So there are 60 square feet in the whole garden. But, we're not done yet. Jessica wants to put 2 plants in every 1 square foot. So now, we need to multiply 60 by 2 in order to get 2 plants in every 1 square foot.

60·2=120

Jessica can put 120 plants in the garden if she is wanting 2 plants per square foot.

I hope this makes sense and is easy to understand. Please let me know if you need any more help or clarification. I'm always happy to help! Have a great day and good luck!!

4 0

2 years ago

7. Find the length of HP. 12 P 9 H

bearhunter [10]

Step-by-step explanation:

hope it is helpful to you