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2 years ago

The measure of ? summarizes all of the data values in a data set with a ? number

Mathematics

2 answers:

NARA [144]2 years ago

8 0

we know that

a measure of centre for a numerical data set summarises all of its values with a single number

while a measure of variation describes how its number varies

so, we will put "centre" in first blank

and "single" in second blank

so, we can write as

The measure of <u>centre</u> summarises all of the data values in a data set with a <u>single</u> number

WITCHER [35]2 years ago

4 0

I think it is a measure of center with a single number

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antiseptic1488 [7]

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3 years ago

Triangles ABC and DEF are similar. what is the length of side EF

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2 years ago

Read 2 more answers

Which of the following trigonometric ratios are correct?

den301095 [7]

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

sinA = opposite/hypotenuse
cosA = adjacent/hypotenuse
tanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

tan50° = d/c
cos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

8 0

2 years ago

Which are true or false

Savatey [412]

we are given

$y=19.75x$

Here,

y is the number of gallons of water in the pool

x is the number of minutes the truck has been filing the pool

now, we will verify each options

option-A:

When x=1

then y=19.75

so, for 1 minute , number gallons =19.75

so, this is FALSE

option-B:

Since, we have

$y=19.75x$

It is similar to equation of line

y=mx+b

But b=0

It means that it passes through origin

so, this is TRUE

option-C:

$y=19.75x$

we can compare it with

y=mx

where m is the rate

so, we get

$m=19.75$

while we are given

the water in swimming pool increase about 100 gallons by every 5 minutes

so, we get rate as

$m=\frac{100}{5} =20$ gallons per minute

this is close to 19.75

so, they are approximately equal

so, this is TRUE

option-d:

x-value and y-value will show relationship

and ratio will always be constant or equivalent

because it has linear relationship

so, this is TRUE

option-e:

We need to check

(8,150) ..so, x=8 and y=150

we can plug this in our equation

and we get

$150=19.75\times 8$

$150=158$

Since, left side is not equal to right side

so, this can not be point

so, this is FALSE

5 0

2 years ago