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aleksklad [387]
3 years ago
13

Which statement is true?

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
5 0

The correct statement is D.

Step-by-step explanation:

Given,

For backyard

Length = 5x-2

Width = 2x+4

For house

Length = 5x-2

Width = 4x-12

For driveway

Length = x+10

Width = 4x-12

To find the correct statement.

Formula

The area of a rectangle = Length × Width

So,

The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)

= (4x-12)(5x-2+x+10)

= (4x-12)(6x+8)

=24x^{2} +32x-72x-96

= 24x^{2} -40x-96

So, the correct statement is D

You can cross check the other statements.

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Show your work on the question
AysviL [449]

Answer:

OPTION A: 3x - 1 = ± 5

Step-by-step explanation:

We have (3x - 1)² = 25

In OPTION A, Square root is taken on both sides.

This gives us: 3x - 1 = ± 5. And this is the logical follow - up of the previous step.

IN OPTION B: (a - b)² is wrongly expanded. So, this can not be the next step.

In OPTION C: The square root is taken only on the LHS but not on the RHS. So, it is eliminated.

In OPTION D: The square is expanded on LHS whereas on the RHS square root is taken. So, it is not correct and is eliminated.

Therefore, the correct option is A.

6 0
2 years ago
You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper
mrs_skeptik [129]
Each question has four choices, then the probability to guess a correct answer is p= \frac{1}{4} and the probability to select incorrect choice is  q=1-p=1- \frac{1}{4} = \frac{3}{4}.

You have a 5-question multiple-choice test, then n=5. The <span>probability that you will guess exactly three out of five questions correctly is </span>
<span /><span>
</span><span>C_n^kp^nq^{n-k}=C_5^3p^3q^{5-3}= \dfrac{5!}{3!\cdot 2!} \left( \dfrac{1}{4} \right)^3\left( \dfrac{3}{4} \right)^2=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 1\cdot 2} \cdot \dfrac{9}{1024} =</span>
= \dfrac{90}{1024} = \dfrac{45}{512}.
<span />

6 0
3 years ago
Read 2 more answers
HELPPP!!!!! Plzzzz!!
Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards =  1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}

P_1=\dfrac{2}{6}

P_1=\dfrac{1}{3}

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}

P_2=\dfrac{1}{5}

The probability of drawing 2 even numbers is:

P=P_1\times P_2

P=\dfrac{1}{3}\times \dfrac{1}{5}

P=\dfrac{1}{15}

Therefore, the probability of drawing 2 even numbers is \dfrac{1}{15}. Hence, the correct option is (b).

5 0
2 years ago
A square is always a parallelogram.<br> True False
agasfer [191]

Answer:

yes,

Step-by-step explanation:

because of them being quadrilaterals

8 0
3 years ago
Read 2 more answers
What is the value of the sum 1/3 + 2/3+ 2/3+ 4/3 + 5/3+6/3+7/3+8/3
ollegr [7]
<h3>What is the value of the sum 1/3 + 2/3+ 2/3+ 4/3 + 5/3+6/3+7/3+8/3</h3>

<h2>ANSWER</h2>

\frac{35}{3}

Decimal Form:

11.6

Mixed nunber Form:

11 \frac{2}{3}

6 0
2 years ago
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