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KonstantinChe [14]
3 years ago
7

A square deck has a side length of x + 5. You are expanding the deck so that each side is 4 times as long as the side length of

the original deck. What is the area of the new deck? Show your work and write your answer in standard form.
Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0
If you are expanding the side length x+5 by a multiple of 4, your new side would look like this: 4(x+5) or, simplifying, 4x+20.  The area of this new, bigger square would be found by squaring the 4x+20 to get 16x^2 + 160x + 400
Papessa [141]3 years ago
5 0
Length of a side = 4(x+5). the area is 16(x+5)(x+5)
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How are the solutions to the inequality -3x>18 different from the solutions to -3x>18 ?
Novay_Z [31]

Answer:

x < -6

Step-by-step explanation:

 -3x > 18

Divide both sides by -3

-3x/-3 < 18/-3

Note : in inequalities when both sides are divided by negative or minus, the inequality sign changes.

Therefore

x < -6

There's no difference as the equations are the same

I hope this was helpful, please rate as brainliest

3 0
3 years ago
How do you find the zeros of an equation​
lubasha [3.4K]

Answer:

Step-by-step explanation:

In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.

5 0
2 years ago
Read 2 more answers
X and y are normal random variables with e(x) = 2, v(x) = 5, e(y) = 6, v(y) = 8 and cov(x,y)=2. determine the following: e(3x 2y
andriy [413]

The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

<h3>What is normal random variables?</h3>

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}

Part b.

Consider V(3X + 2Y)

\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

3 X+2 Y \sim N(18,77)

Thus,

P(3 X+2 Y < 18)=0.5

Part d.

Consider P(3X + 2Y < 28)

Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}

\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}

Therefore, the values for the given normal random variables are found.

To know more about the normal random variables, here

brainly.com/question/23836881

#SPJ4

The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

8 0
2 years ago
What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375
Aleks04 [339]

<u>Answer:</u>

<u><em>426</em></u>

<u />

<u>Explanation:</u>

To find the median number in a set of data start by reordering the data from least to greatest.

<em>original data set:</em>

<em>593, 588, 540, 434, 420, 398, 390, 375</em>

<em />

<em>data set from least to greatest:</em>

<em>375, 390, 398, 420, 434, 540, 588, 593</em>

<em />

Next, you would usually just have to find the middle number in the data set and that would be your median. However, this data set has no one number that is directly in the middle. So, we will add both middle numbers together and then divide our answer by two.

<em>375, 390, 398, </em><em>420, 434</em><em>, 540, 588, 593</em>

<em />

<em>420 + 434 = 854</em>

<em />

<em>854 ÷ 2 = 426</em>

<em />

Therefore, the median of the given data set is <em><u>426.</u></em>

5 0
3 years ago
Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height. H
kipiarov [429]

Answer:

The cross multiplication would be 10(350) = 22(x).

Step-by-step explanation:

We would first convert meters to centimeters.  There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.

The ratio of the height to base of the model is 10/22.  The ratio of the playhouse would then be x/350.  This gives us

10/22 = x/350

Cross multiplying, we would have 10(350) = 22(x).

6 0
3 years ago
Read 2 more answers
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