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2 years ago

Find the values of x and y

Mathematics

2 answers:

taurus [48]2 years ago

7 0

Answer:

x = 43°

y = 32°

Step-by-step explanation:

None

VladimirAG [237]2 years ago

4 0

Answer:

x = 43 and y = 32

Step-by-step explanation:

x equals 43 because they are alternate interior angles

to find y first find the other missing value in the upper triangle by subtracting 180 - 75 = 105 then subtract 180 - 105 - 43 = 32 which is y

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Which statement describes a ratio?

Mnenie [13.5K]

Answer:

C. For every 2 red candies in a bag, there are 3 green candies.

Step-by-step explanation:

A ratio always contains 2 figures.

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3 years ago

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The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The

zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x f(x)

0-3 13

4-7 13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x f(x)

1.5 13

5.5 13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

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

This gives

$\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}$

Evaluate

$\bar x = 7.98$

The standard deviation is then calculated as:

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

So, we have:

$\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13 * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}$

Evaluate

$\sigma= \sqrt{30.6496}$

Solve

$\sigma= 5.54$

Hence, the standard deviation is 5.54

Read more about standard deviation at:

brainly.com/question/15858152

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7 0

1 year ago

What are the numbers called in a multiplication

mart [117]

The numbers that are called in multiplication are called factors. Multiplying factors together will create a product.

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3 years ago

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On their first dive, researchers explore a part of the ocean floor that is 60 feet

DENIUS [597]

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Given;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

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3 years ago

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Answer

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Step-by-step explanation:

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