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kenny6666 [7]
3 years ago
6

What number should be placed in the box to help complete the division calculation? 

Mathematics
1 answer:
Tatiana [17]3 years ago
5 0
120 should be placed in the box
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Find the perimeter of the quadrilateral.
levacccp [35]

<em><u>Question:</u></em>

Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

The complete figure of this question is attached below

<em><u>Answer:</u></em>

<h3>The perimeter of the quadrilateral is 129 inches</h3>

<em><u>Solution:</u></em>

The complete figure of this question is attached below

Given that, a quadrilateral with,

Side lengths are:

4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches

The values of the side lengths when x = 2 are

(4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch

Perimeter of a quadrilateral = Sum of its sides

Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches

Thus perimeter of the quadrilateral is 129 inches

5 0
3 years ago
For some postive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770. The value of Z is
Talja [164]

Answer:

1.16

Step-by-step explanation:

Given that;

For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.

This implies that:

P(0<Z<z) = 0.3770

P(Z < z)-P(Z < 0) = 0.3770

P(Z < z) = 0.3770 + P(Z < 0)

From the standard normal tables , P(Z < 0)  =0.5

P(Z < z) = 0.3770 + 0.5

P(Z < z) =  0.877

SO to determine the value of z for which it is equal to 0.877, we look at the

table of standard normal distribution and locate the probability value of 0.8770. we advance to the  left until the first column is reached, we see that the value was 1.1.  similarly, we did the same in the  upward direction until the top row is reached, the value was 0.06.  The intersection of the row and column values gives the area to the two tail of z.   (i.e 1.1 + 0.06 =1.16)

therefore, P(Z ≤ 1.16 ) = 0.877

8 0
3 years ago
HELPPPP!!!!!!!<br> What is the diameter of X?<br><br> A) 12 cm<br> B) 04 cm<br> C) 8 cm<br> D) 2 cm
Margaret [11]
Dimeter = r x 2

r = 4 x 2 = 8 cm
3 0
3 years ago
5×n = 45÷3 <br> Find n without dividing
vazorg [7]

Answer: 3

Step-by-step explanation:

45 / 3 = 15

So,

What times 5 = 15

The answer is 3.

4 0
3 years ago
Insert two geometric means between 729 and 64​
Liula [17]

Answer:

324 and 144

Step-by-step explanation:

We require

a₁, a₂, a₃, a₄

where a₂ and a₃ are the required geometric means

The n th term of a geometric sequence is

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 729 and a₄ = 64, thus

729(r³) = 64 ( divide both sides by 729 )

r³ = \frac{64}{729} ( take the cube root of both sides )

r = \sqrt[3]{\frac{64}{729} } = \frac{4}{9} , then

a₂ = 729 × \frac{4}{9} = 81 × 4 = 324

a₃ = 324 × \frac{4}{9} = 36 × 4 = 144

Thus

729, 324, 144, 64

8 0
3 years ago
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