All categories

3 years ago

1982 2016 how many year

Mathematics

2 answers:

Lena [83]3 years ago

7 0

2016 - 1982 =34 si it's a 34 Year difference.

ladessa [460]3 years ago

3 0

the correct answer is 34 years

You might be interested in

What is the value of x in the equation 3x + 2 = 5x - 8?

katrin2010 [14]

Answer:5

Step-by-step explanation:

3(5)+2=17

5(5)-8=17

X=5

5 0

2 years ago

What is the solution of log4(2x-6)=2

Flauer [41]

Answer: $x=11$

Step-by-step explanation:

Remembert that, by definition:

$log_b(x)=y$ → $b^y=x$

Then, you can rewrite $log_4(2x-6)=2$ in exponential form:

$4^2=2x-6$

Now you can solve for the variable "x":

Add 6 to both sides of the equation:

$4^2+6=2x-6+6$

$22=2x$

And finally you must divide both sides of the equation by 2, then:

$\frac{22}{2}=\frac{2x}{2}\\\\x=11$

3 0

3 years ago

If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a

Karolina [17]

Let h = height of the box,
x = side length of the base.

Volume of the box is $V=x^{2} h = 115$ .
So $h = \frac{115}{ x^{2} }$

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
$S = 2( x^{2} + hx + hx) \\ = 2 x^{2} + 4hx \\ = 2 x^{2} + 4( \frac{115}{ x^{2} } )x$
$= 2 x^{2} + \frac{460}{x}$
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

$S' = 4x- \frac{460}{ x^{2} } = 0$
$4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86$
Then $h= \frac{115}{4.86^{2}} = 4.87$
So the box is 4.86 in. wide and 4.87 in. high.

5 0

3 years ago

Read 2 more answers

Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cup

Anton [14]

Answer:

Let x be the total number of cupcakes.

Chocolate chips =

$\frac{2}{3} x$

Strawberry =

$\frac{1}{4} \times \frac{1}{3} \\ = \frac{1}{12} x$

Vanilla =

$x - \frac{2}{3} x - \frac{1}{12}x \\ = \frac{1}{3} x - \frac{1}{12} x \\ = \frac{1}{4} x$

given

$\frac{1}{4} x = 90$

$x = 90 \div \frac{1}{4} \\ = 90 \times 4 \\ = 360$

a)Number of Chocolate chip Cupcakes =

$\frac{2}{3} \times 360 \\ = 240$

b)Number of Strawberry cupcakes =

$\frac{1}{12} \times 360 \\ = 30$

8 0

3 years ago

Nicolas surveyed a random sample of 80 employees at a software company. He found that 29% of the employees surveyed ride a bike

Nana76 [90]

Answer:

Option C

Step-by-step explanation:

Point diagrams show the frequency of occurrence of a series of events after a certain number of trials. In this case, the trials were 100. During each trial it would have been possible to have proportions of {0.24, 0.25, 0.26, 0.27, 0.28 ..... 0.56}

The events with the highest probability of occurrence are those with the highest number of points in the diagram.

Note that the distribution of the points resembles a bell, with a peak (greater clustering of points) between 0.35 and 0.41.

This indicates that it is more likely that the proportion of employees who go to work in bicycles will be between 0.35 and 0.41.

Then the diagram seems to indicate that a proportion less than 0.30 or greater than 0.45 is unlikely (they have less number of points)

Based on this analysis, it can be concluded that the correct option is c)

c) It is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.

6 0

3 years ago

Read 2 more answers