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3 years ago

NOTE: Angles are not necessarily drawn to scale.

Mathematics

2 answers:

Ne4ueva [31]3 years ago

7 0

Answer:

Step-by-step explanation:

A right angle is 90 so E is 55 which makes D 35

90-35 is 55.

Paraphin [41]3 years ago

7 0

Answer:

the angle D is opposite to the angle X, therefore same amplitude, the solution is in the drawing

Step-by-step explanation:

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Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample

adelina 88 [10]

Answer:

$\sigma = 12.5$ ---- sample standard deviation

$\sigma^2 = 157.2$ ---- sample variance

Step-by-step explanation:

Solving (a): The sample variance

First, we calculate the midpoint of each class (this is the average of the limits)

So, we have:

$x_1 = \frac{56 + 64}{2} = 60$

$x_2 = \frac{65 + 73}{2} = 69$

And so on

So, the table becomes:

$\begin{array}{cc}{x} & {f} & {60} & {11} & {69} & {15} & {78} & {14} & {87} & {4} & {96} & 11 \ \end{array}$

Calculate the mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{60*11+69*15+78*14+87*4+96*11}{11+15+14+4+11}$

$\bar x = \frac{4191}{55}$

$\bar x = 76.2$

The variance is:

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

So, we have:

$\sigma^2 = \frac{(60 - 76.2)^2*11+(69 - 76.2)^2*15+(78 - 76.2)^2 *14+(87 - 76.2)^2*4+(96 - 76.2)^2*11}{11+15+14+4+11-1}$

$\sigma^2 = \frac{8488.8}{54}$

$\sigma^2 = 157.2$

The sample standard deviation is:

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

$\sigma = \sqrt{157.2$

$\sigma = 12.5$

Solving (b): The sample variance

In (a), we calculate the sample variance to be:

$\sigma^2 = 157.2$

6 0

3 years ago

24 ft equals how many inches.

Lerok [7]

288 inches is in 24 feet.

6 0

3 years ago

Can the values be added or subtracted? If one value needs to be converted to another, describe the conversation. 32.8 kg+64.3 km

Kay [80]

Those two quantities cannot be added.

In order to add or subtract quantities, they don't necessarily both need to
have the same units, but both must have the same physical dimensions
so that one unit can be converted to be the same as the other unit.

"Physical dimensions" are things like mass, length, area, volume, time,
force, speed, etc.

In this problem, one quantity has the unit 'kg'so its physical dimension is mass.
The other quantity has the unit 'km' so its physical dimension is length. Obviously
these physical dimensions are different, so there's no way that either unit can be
converted to match the other one, and the quantities can't be added.

7 0

3 years ago

Molly shot 20 baskets in 4 minutes. Nico shot 42 in 6 minutes.How many more baskets did Nico shoot per minute.

Vanyuwa [196]

Molly: $\frac{20 baskets}{4 minutes}$ = $\frac{5 baskets}{1 minute}$ = 5 baskets per minute