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3 years ago

FCD=x+41, BCF=x+78, BCD=95. Find x

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

You'll set the two expressions equal to 95.
So 2x+119=95
Then 2x=-24
Finally x=-12

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Group the terms with variables on one side of the equal sign and simplify.

Zepler [3.9K]

Answer:

9p = 54

Step-by-step explanation:

19p = 10p + 54

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A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample

suter [353]

Answer:

The expected frequency for the cell E2,2 is = 33

Step-by-step explanation:

The given data is

Gender | 0-30| 30-60| 60-90| 90+ Totals

Male | 23 | 35 | 76 | 46 180

Female | 31 | 42 | 46 | 16 135

Totals 54 77 122 62 315

The expected frequency for the cell E2,2 is :

Expected for the (30-60 box for females) = Total of (30-6)/ (total )* females

= ( 77/315)135= 33

Here p= 77/315 and n= 135

therefor X= pn = 33

χ²= (33-42)²/33= 2.455 ( for the single value of E2,2=33)

Expected for the (30-60 box for males) = Total of (30-6)/ (total )* males

= ( 77/315)180= 44

χ²= (44-42)²/44= 0.09

The critical region is χ² (0.05) 3 ≥ χ²= 11.34

Let the null and alternate hypothesis be

H0:the number of minutes spent online per day is not related to gender

against

Ha: the number of minutes spent online per day is related to gender

The single value of χ² for E2,2 = 2.45 is less than the critical value of 11.34.

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2 years ago

Find the range of the following piecewise function.

mash [69]

Answer:

$\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}$

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

$y=3x-2\ \text{if}\ -1\leq x$

Substitute x =-1 and x = 0:

$x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2$

Range of this piece is [-5; -2)

$y=2x+3\ \text{if}\ 0\leq x$

Substitute x =0and x = 5:

$x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13$

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

$[-5;\ -2)\ \cup\ [3;\ 13)$

Look at the picture.

6 0

2 years ago

What’s this guys ? I’ve been stuck on this ‍♀️

Harrizon [31]

SOLUTION:

Let's establish the formula for a cylinder as displayed below:

Let volume of cylinder = V

V = ( Pi )r^2h

Now let's substitute the values from the problem into the formula to find the volume.

V = ?

r = 8

h = 4

V = ( Pi )( 8 )^2( 4 )

V = ( Pi )( 64 )( 4 )

V = ( Pi )( 256 )

V = 256( Pi )

FINAL ANSWER:

Therefore, the answer is:

C. 256( Pi ) units^3

Hope this helps! :)
Have a lovely day! <3

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2 years ago