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3 years ago

Which of the following best represents the average speed of a fast runner?

1 answer:

3 0

10 meters per second is the correct answer

Here's why:
10 miles per minute is 600mph

10 centimeters per hour is
0.000062mph

10 kilometers per hour is 22369mph

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Find the exact circumference. <br><br> r = 6 mm, C = ?

Kazeer [188]

$C=2 \pi r \\ C=2 \pi 6 \\ C=12 \pi$

5 0

3 years ago

The new price of the plane ticket

katen-ka-za [31]

Answer:

159.25

Step-by-step explanation:

175 multiplied by 6% is 10.5

If you subtract 10.5 from 175 you will get 164.5

3 0

3 years ago

Read 2 more answers

Two squares have sides 12cm and 4cm respectively. What is the ratio of their sides

Nookie1986 [14]

Answer:

3 : 1

Step-by-step explanation:

We have to compare the value of two sides.

Ratio of sides = 12 : 4 = $\dfrac{12}{4}=\dfrac{4*3}{4*1}=\dfrac{3}{1}$

= 3 : 1

6 0

2 years ago

Graph each absolute value function. State the domain, range, and y-intercept.

Paraphin [41]

Answer:

i)D: $x\in R$

ii)R: $y\ge-3$

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

$f(x)=|x+2|-3$ .

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

$f(x)=|x+2|-3$ .

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is $y\ge-3$

iii) To find the y-intercept substitute x=0 in to the function.

$f(0)=|0+2|-3$ .

$f(0)=|2|-3$ .

$f(0)=2-3$ .

$f(0)=-1$ .

The y-intercept is (0,-1)

See attachment for graph.

6 0

4 years ago

Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re

Yanka [14]

Answer:

$Range=14$

$\sigma^2 =32.4$

$\sigma = 5 .7$

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

$Data: 136, 129, 141, 139, 138, 127$

Solving (a): The range

This is calculated as:

$Range = Highest - Least$

Where:

$Highest = 141; Least = 127$

So:

$Range=141-127$

$Range=14$

Solving (b): The variance

First, we calculate the mean

$\bar x = \frac{1}{n} \sum x$

$\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)$

$\bar x = \frac{1}{6} *810$

$\bar x = 135$

The variance is calculated as:

$\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2$

So, we have:

$\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]$

$\sigma^2 =\frac{1}{5}*[162]$

$\sigma^2 =32.4$

Solving (c): The standard deviation

This is calculated as:

$\sigma = \sqrt {\sigma^2 }$

$\sigma = \sqrt {32.4}$

$\sigma = 5 .7$ --- approximately

Solving (d): With the stated condition, the standard deviation will remain unchanged.

5 0

3 years ago