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3 years ago

Can help me with this please

Mathematics

2 answers:

madam [21]3 years ago

8 0

4:32 is the same as 2:16 and 12:96. A ratio is the same as a fraction, so you can reduce them the same way. 4/2 = 2, 32/2 = 16. 2*6 = 12, 16*6 = 96.

Can you do the second one on your own now?

Yakvenalex [24]3 years ago

6 0

Answer:

B) 12 : 96 ; 2 : 16

Step-by-step explanation:

4 : 32 = 4⁽²/32 = 2/16 = 2 : 16

⁶⁾2/16 = 12/96 = 12 : 96

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Answer:

11/14

Step-by-step explanation:

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Anon25 [30]

Answer:

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

$k =2$

$DE = 6$

$FD=10$

Step-by-step explanation:

Given

$\triangle ABC$ and $\triangle FED$

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

$k = \frac{FE}{AB}$

$k = \frac{8}{4}$

$k =2$

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

$k = \frac{DE}{CB}$

$2 = \frac{DE}{3}$

$DE = 2 * 3\\$

$DE = 6$

Solving (f): Length of FD

Using Pythagoras:

$FD^2 = DE^2 + EF^2$

$FD^2 = 6^2 + 8^2$

$FD^2 = 100$

$FD = \sqrt{100$

$FD=10$

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3 years ago

An aircraft seam requires 24 rivets. The seam will have to be reworked if any of these rivets are defective. Suppose rivets are

kirill [66]

Answer:

Step-by-step explanation:

p(d) - probability of a rivet being defective

p(r) - probability of seam needing to be reworked

The probability of the seem needing to be reworked is equal to the probability that ANY of 24 rivets is defective

Thus the probability that none of the 25 rivets is defective is 1-p(r)

p(r) = 16%, thus 1-p(r) = 84%

1-p(r) = (1-p(d))^24

0.84 = (1-p(d))^24

0.84^(1/24) = 1-p(d)

==> 1-p(d) = 0.9927615998

==> p(d) = 1-0.9927

==> p(d) = 0.0073

b) given p(r) = 8%, thus 1-p(r) = 92%

1-p(r) = (1-p(d))^24

0.92 = (1-p(d))^24

0.92^(1/24) = 1-p(d)

==> 1-p(d) = 0.99653179446

==> p(d) = 1-0.9965

==> p(d) = 0.0035

5 0

3 years ago