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Studentka2010 [4]

3 years ago

7

A mountain climber climbed down a cliff 50 feet at a time. He did this 5 times in one day. What was the overall change in his ev

aluation?

1 answer:

PSYCHO15rus [73]3 years ago

3 0

You just multiply 50 by 5 to get 250 feet

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A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled

klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}$

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

$\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5$

The standard deviation of the sample is calculated as:

$s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8$

Then, we can calculate the standard error of the mean as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5$

6 0

2 years ago

Consider the substances below.

NikAS [45]

They have different masses

5 0

1 year ago

oee [108]

Answer:

number of $20 bill = 4

Number of $5 bill = 5

Step-by-step explanation:

Given that:

Total number of $5 and $20 bills = 9

Let :

Number of $5 bills = x

Number of $20 bills = y

Combined worth of all bills = $105

x + y = 9 - - - (1)

5x + 20y = 105 - - - (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

5(9 - y) + 20y = 105

45 - 5y + 20y = 105

15y = 105 - 45

15y = 60

y = 60/15

y = 4

x = 9 - y

x = 9 - 4 = 5

Hence,

number of $20 bill = 4

Number of $5 bill = 5

6 0

2 years ago

The table shows the wins of three local baseball teams. They all played the same number of games. List the teams in order of the

Grace [21]

First, we will convert the fraction and percentage to decimal

Then arrange from least to greatest

Bears 57% = 0.57

Tigers 5/8 =0.625

Mustangs = 0.65

Re-arranging from least to greatest

0.57, 0.625, 0.65

Bears, Tigers, Mustangs

8 0

5 months ago

The formula for finding the length of an arc on a circle is L=2πr(x360) , where r is the radius of the circle and x is the measu

horrorfan [7]

The formula for length of an arc on a circle is given by the formula:

$L = \frac{2 \pi rx}{360}$ ,

where 'r' is the radius of the circle and 'x' is the measure of the central angle of the arc.

We have to determine the value of radius 'r'.

Since, $L = \frac{2 \pi rx}{360}$

By Cross multiplication, we get

$360 \times L = 2 \pi rx$

$\frac{360 \times L}{ 2 \pi x} =r$

$\frac{180 \times L}{ \pi x} =r$

$r = \frac{180L}{ \pi x}$

Therefore, the radius 'r' is given by $r = \frac{180L}{ \pi x}$ .

Option 4 is the correct answer.

6 0

2 years ago

Read 2 more answers