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3 years ago

Consider the expressions 12 + 4y and 4( y + 3 )what is the value of each expression when y = 5

Mathematics

1 answer:

Neko [114]3 years ago

4 0

Answer:

Both expressions equals to 32.

Step-by-step explanation:

You just plug in 5 for each expression: 12+4(5)=32, 4(5+3)=32.

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The following table shows the number of hours some students in two neighborhoods spend walking to school each week:

AlexFokin [52]

Neighborhood A :
first, put the numbers in order...
2,[2,2],4,(4),5,[5,5],5

5 number summary :
minimum = 2
Q1 = 2
Q2 (median) = 4
Q3 = 5
maximum = 5
IQR = Q3 - Q1......5 - 2 = 3...so the IQR = 3

Neighborhood B :
1,[1,2],2,(3),4,[5,5],12

5 number summary :
minimum = 1
Q1 = (1 + 2) / 2 = 3/2 or 1.5
Q2 (median) = 3
Q3 = 5
maximum = 12
IQR = Q3 - Q1....5 - 1.5 = 3.5

are the box plots symmetrical ?

Neighborhood A : the median is 4.....the minimum is 2....so thats 2 spaces from the median...the maximum is 5....so thats 1 space from the median...and being that they are not the same distance from the median, ur box plot is skewed to the left...so this is not symmetrical

Neighborhood B : the median is 3....the minimum is 1....so thats 2 spaces from the median...the maximum is 12....so thats 10 spaces from the median....these are not symmetrical especially since u have an outlier of 12....this is skewed to the right

6 0

3 years ago

A 30° 60° 90° triangle is shown below. Find the length of the side labeled y.

bulgar [2K]

Answer:

Part 1) $y=3\ units$

Part 2) The length of the hypotenuse is 6 units

Step-by-step explanation:

Part 1) we know that

In the right triangle of the figure

$sin(60^o)=\frac{y}{2\sqrt{3}}$ ----> by SOH (opposite side divided by the hypotenuse)

solve for y

$y=sin(60^o)2\sqrt{3}$

Remember that

$sin(60^o)=\frac{\sqrt{3}}{2}$

substitute

$y=(\frac{\sqrt{3}}{2})2\sqrt{3}$

$y=3\ units$

Part 2)

Let

h ----> the length of the hypotenuse

we know that

In the right triangle of the figure

$sin(45^o)=\frac{3\sqrt{2}}{h}$ ----> by SOH (opposite side divided by the hypotenuse)

$h=\frac{3\sqrt{2}}{sin(45^o)}$

Remember that

$sin(45^o)=\frac{\sqrt{2}}{2}$

substitute

$h=3\sqrt{2}:\frac{\sqrt{2}}{2}$

$h=6\ units$

7 0

3 years ago

Assume c and d function independently. for the system to function, either c or d must function.

almond37 [142]

For the "system" to function, we require that $C\cup D$ occurs (i.e. the event that either $C$ or $D$ function properly). This occurs with probability

$\mathbb P(C\cup D)=\mathbb P(C)+\mathbb P(D)-\mathbb P(C\cap D)$

but since $C$ and $D$ are independent,

$\mathbb P(C\cup D)=\mathbb P(C)+\mathbb P(D)-\mathbb P(C)\mathbb P(D)$

We're given that $\mathbb P(C^C)=0.08$ and $\mathbb P(D^C)=0.12$ , so

$\mathbb P(C\cup D)=(1-0.08)+(1-0.12)-(1-0.08)(1-0.12)=0.9904$

If $\mathbb P(C^C)=\mathbb P(D^C)=p$ , then

$\mathbb P(C\cup D)=(1-p)+(1-p)-(1-p)^2=1-p^2$

4 0

4 years ago

A triangle has angles measuring 25° and 45°. What is the measure of the triangle's third angle?

Studentka2010 [4]

Answer:

The answer to this question is B

8 0

3 years ago

Read 2 more answers

10% of__ is 14. please help if you can

k0ka [10]

Answer: