The rectangles shown are similar. What is the value of X? A. 7 B. 12 C. 8 D. 6

1 answer:

5 0

15/24 5/x

cross multiply

15x=120
x=8

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andreev551 [17]

1200/200 in a simplified form is
3/5

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4 years ago

Lena [83]

Divide the number of blocks by number of people In this case 5/6 = 0.83 blocks or each person will get 0.83 or 5/6 of a block

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aalyn [17]

(a) 5(3m+2) = 15m + 10

(b) 6(g+h) = 6g + 6h

(c) 4d+8 = 4(d + 2)

(d) 21p+35q = 7(3p + 5q)

(e) 18x+9y = 9(2x + y)

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4 years ago

Serggg [28]

Answer:

The correct option is (C) (2.769, 3.231).

Step-by-step explanation:

The confidence interval for mean when the standard deviation is not known is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}$

Given:

$\bar x = 3\\s=0.3\\n=9\\\alpha =1-0.95=0.05$

Compute the critical value as follows:

$t_{\alpha/2, (n-1)}=t_{0.05/2, (9-1)}=t_{0.025, 8}=2.31$

**Use a t-table.

The 95% confidence interval for true mean length of the bolt is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}\\=3\pm 2.31\times \frac{0.30}{\sqrt{9}}\\ =3\pm 0.231\\=(2.769, 3.231)$

Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).

The correct option is (C).

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3 years ago

slamgirl [31]

The graph of g has a greater slope than the graph of f.

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2 years ago