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3 years ago

11

In a office building 76 offices are currently being rented. This represents 40% of the total units. How many offices are there i

n the building

1 answer:

Anastasy [175]3 years ago

7 0

Answer:

150 offices.

Step-by-step explanation:

Hope this helps love!!

-Sierra<3

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Which values from the given replacement set make up the solution set of the inequality?

ziro4ka [17]

8,9,10
how i found this out was if u replace m with 8 it will be 8+7 which is 15 and less then 18
for 9 its 9+7 which is 16 which is less then 18
and for 10 its 10+7 which is 17 which is less then 18
and for 11 its 11+7 is 18 which is equal to 18 so it would not apply to this equation
hope this helps

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3 years ago

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Plsss help this is a math problem

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There are 4 terms in the expression

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A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the followin

maks197457 [2]

Answer:

(a) $\sum x_i=56.68$ and $\sum x_i^2=197.46$

(b) The sample variance is $s^2=0.530$ and the sample standard deviation is $s=0.728$

Step-by-step explanation:

(a)

The sum of these 17 sample observations is

$\sum x_i=2.79\:+2.57+\:2.73\:+3.75\:+2.27+\:2.75+\:4.00+\:4.22+\:3.88+\:4.35+\:3.41+\:4.57+\:2.38+\:3.73\:+2.75+\:3.47+\:3.06\\\\\sum x_i=56.68$

and the sum of their squares is

$\sum x_i^2=2.79^2\:+2.57^2+\:2.73^2\:+3.75^2\:+2.27^2+\:2.75^2+\:4.00^2+\:4.22^2+\:3.88^2+\:4.35^2+\:3.41^2+\:4.57^2+\:2.38^2+\:3.73^2\:+2.75^2+\:3.47^2+\:3.06^2\\\\\sum x_i^2=197.46$

(b)

The sample variance, denoted by $s^2$ , is given by

$s^2=\frac{S_{xx}}{n-1}$

where $S_{xx} =\sum x_i^2-\frac{(\sum x_i)^2}{n}$

Applying the above formula we get that

$S_{xx}=197.46-\frac{(56.68)^2}{17}\\\\S_{xx} =8.482$

$s^2=\frac{8.482}{17-1}=0.530$

The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:

$s=\sqrt{s^2}$

Applying the above formula we get that

$s=\sqrt{0.530}=0.728$

3 0

3 years ago

Find the factors and zeros of 6x^2 +8x-28=2x^2 + 4

Mice21 [21]

Answer:

First solve the equation:

6x^2 + 8x -28 = 2x^2 + 4

=> 6x^2 - 2x^2 + 8x - 28 -4 = 0 => 4x^2 + 8x - 32 = 0

Extract common factor 4:

=> 4[x^2 + 2x - 8] = 0

Now factor the polynomial:

4(x + 4) (x - 2) = 0

=> the solutions are x + 4 = 0 => x = -4, and x - 2 = 0 => x = 2.

So the answer is the option B: 4(x + 4)(x - 2); {-4, 2}

HOPE THIS HELPS! :D

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3 years ago

A runner is participating in a 10.3 mile race. If the runner stopped at a water station that is twice as far from the starting l

Rudik [331]

We have the representation of this problem in the figure below. As we have a 10.3 mile race, then the equation is fulfilled as:

$d = 10.3mi = d_{1}+ d_{2}$

We know that there is <span>a water station that is twice as far from the starting line as from the finish line, then:

</span> $d_{2}=2d_{1}$

So:

$d_{1} +2d_{1}=10.3$
∴ $d_{1}=3.43mi$

and $d_{2}=2(3.43)=6.86mi$

<span>Finally, the distance of the runner from the finish line is:
</span>
$6.86mi$

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