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2 years ago

How many numbers are between 1 and 100 that are divisible by 2 and 5?

Mathematics

1 answer:

alexdok [17]2 years ago

6 0

Answer:

Step-by-step explanation:

if 100 digits are in 80 then 2 and 5 are divisble in a 100 15 times

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for the spring fundraiser, there were 50 committee members. Each member worked 2 hour. The eveent raised $ 1,267.00. What amount

Sindrei [870]

50 x 2 =100 hours
1267/100= 12.67
$12.67 was raised per hour

3 0

2 years ago

The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation

rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

3 0

3 years ago

A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and

Lunna [17]

Answer:

$C=27inch\ by\ 27inch$

Step-by-step explanation:

Squares $h=4inch$

Volume $v=1444in^3$

Generally the equation for Volume of box is mathematically given by

$V=l^2h$

$1444=l^2*4$

$l^2=361$

$l=19in$

Since

Length of cardboard is

$l_c=19+4+4$

$l_c=27in$

Therefore

Dimensions of the piece of cardboard is

$C=27inch\ by\ 27inch$

7 0

2 years ago

Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16

cupoosta [38]

$\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}$

one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.

since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.

3 0

1 year ago

Which angles are congruent in the isosceles triangle?

zhannawk [14.2K]

Answer:

A. Angle CAB and angle BCA

Step-by-step explanation:

Hope it helps you in your learning process.

8 0

2 years ago