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2 years ago

Square root of 63009 upto three decimal places

Mathematics

2 answers:

Bingel [31]2 years ago

7 0

Answer:

Your answer is 251.016 rounded

Mama L [17]2 years ago

5 0

Answer:

251.0159 is your answer.

I HOPE IT WILL HELP YOU.

Thank you.

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A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one

salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = $\frac{2}{3}$

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = $\frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}$

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is $x$ . Then that of 3 is $2x$ (because it is twice the others). The sum of probabilities must be 1.

$x+x+x+x+x+2x=1$

$7x=1$

$x=\frac{1}{7}$

P(odd number) = $3\times$ Prob(1) + Prob(3)

= $3\times\frac{1}{7}+\frac{2}{7}$ = $\frac{5}{7}$

7 0

3 years ago

Can anyone help with these ? I'll give brainlyiest to anyone that can help with all of them! :) Thank you in advance .

Julli [10]

Answer:

1. (a) A function is a mapping $f:x\rightarrow y$ where there should be different values of y for different x.

So, given ordered pairs:

(3,7), (3,8) ,(3,-2) ,(3,4) ,(3,1)

It is not a function because there are multiple y values for single x-value.

Option 2 is correct.

(b) We need to find range of the function f(x)= -4x +1

So, we have given the domain which means the value of x we will put thses given values of x to find y

Values of y is the range in a function

So, given domain is: {-5,-1,0,2,10}

When $x= -5$

$y=-4(-5)+1=21$

When $x=-1$

$y=-4(-1)+1=5$

when $x=0$

$y=-4(0)+1=1$

when $x=2$

$y=-4(2)+1=-7$

when $x=10$

$y=-4(10)+1=39$

So, Range is: {-39,-7,1,5,21}

Option 1 is correct.

(c) We have given a function $v(c)=98c$

Where c is the number of cup jug of milk which is 16.

Put c=16 in given function

$v(c)=98\cdot 16$

$v(c)=1568$

So, c=16, v(c)=1568 is reasonable domain and range of the function.

Option 1 is correct.

(d) We need to find the inverse of given ordered pairs (1,2) (3,4) ,(6,8)

So, the inverse means values of x and y interchange.

So, the required inverse is: (2,1) ,(4,3) ,(8,6)

Option 3rd is correct.

2. We need to find the inverse of given scatter plot in which we have to find the inverse

So, given scatter plot represents (-4,-2) ,(1,-1) ,(2,1) ,(3,2)

So, in inverse values of x and y interchange

So, inverse scatter plot should represent (-2,-4) ,(-1,1) ,(1,2), (2,3)

Attached is the scatter plot inverse

Graph 1 is correct.

3.We have been given a function:

$f(x)=3x$

So, f(x)=y

That is $y=3x$

We will find x from above equation we get

$x=\frac{y}{3}$

Now, interchange x and y

$y=\frac{x}{3}$

$\Rightarrow f(x)=\frac{x}{3}$ is the required inverse

Therefore, option 3rd is correct.

5 0

2 years ago

Which function represents a reflection of f(x) = 5(0.8)^x across the x-axis?

Vikki [24]

Answer: The correct option is second.

Explanation:

The given function is,

$f(x)=5(0.8)^x$

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

$(x,y)\rightarrow(x,-y)$

The given given equation can be written as,

$y=5(0.8)^x$

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

$-y=-5(0.8)^x$

Because f(x)=y and g(x)=-y.

$g(x)=-5(0.8)^x$

Therefore the second option is correct and the graph of both function is given below.

6 0

3 years ago

Read 2 more answers

Mountain officials want to know the length of a new ski lift from A to C , as shown in the figure below. They measure angle DAC

Ede4ka [16]

We assume that the hill is represented by points ACD and the ski lift is represented by points BCD. From the description above, points CDB would have an angle of 90 degrees. Then, we would have:

sin (32) = CD / 960
CD = 508.72

tan 32 = 508.72 / AD
AD = 814.13

Therefore, the distance would be 814.13 - 508.72 = 305.4 ft.

4 0

2 years ago

Last year, Shen opened an investment account with $7800. At the end of the year, the amount in the account had decreased by 22.5

maks197457 [2]

Answer:

The decrease was $1755.

At the end of the year, he had $6045 in his account.

Step-by-step explanation:

Start with $7800.

Decrease of 22.5% of $7800.

22.5% of $7800 =

= $1755

The decrease was $1755.

$7800 - $1755 = $6045

At the end of the year, he had $6045 in his account.

4 0

3 years ago