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3 years ago

Pls SHOW workings It due ASAP

Mathematics

1 answer:

gavmur [86]3 years ago

4 0

24. because if the length of PC is 8 then measure with your finger and you get thee but u have to mutiply 8 and 3 to get 24

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What is the formula for the nth term of the given sequence? -17, -8, 1

Citrus2011 [14]

Answer:

The $n^{th}$ term of A.P sequence

tₙ = 9 n - 26

Step-by-step explanation:

Step(i):-

Given sequence

- 17 , -8 , 1 .......

first term = -17

Second term = - 8

The difference of first two terms

d = - 8 -(-17) = -8+17 = 9

The difference of next two terms

d = 1 - (-8) = 1+8 = 9

∴ The given sequence is in A.P ( Arthimetic progression)

Step(ii):-

The $n^{th}$ term of A.P sequence

$t_{n} = a + ( n-1 ) d$

Given a = - 17 and d = 9

$t_{n} = -17 + ( n-1 ) 9 = - 17 + 9 n -9 = 9 n - 26$

Final answer:-

The $n^{th}$ term of A.P sequence

tₙ = 9 n - 26

4 0

3 years ago

The length of a rectangle is 10 yards more than the width. If the perimeter is 68 yards, what are the length and width?

quester [9]

Divide the perimeter by 2, this will give you the sum of one length and one width.

68/2 = 34 yards

Now the length is 10 yards more, so subtract 10 from the 34 and divide by 2 again:

34 - 10 = 24

24 /2 = 12

The width is 12 yards.

The length is 12 + 10 = 22 yards.

5 0

4 years ago

Solve for x: −3|x + 7| = −12

kykrilka [37]

-3Ix + 7I = -12 (divide -3 from each side)

Ix + 7I = -12/3

Ix + 7I = -4

x + 7 = -4 or -x - 7 = -4

x = -11 or -x = 3
x = - 3

x = -3 or -11

4 0

4 years ago

Read 2 more answers

Solve for x and round to nearest tenth for both please and Thankyou:)

Orlov [11]

Answer:

For the first picture, 57.14

For the second picture, 27.04

5 0

2 years ago

A toddler is allowed to dress himself on Mondays, Wednesdays, and Fridays. For each of his shirt, pants, and shoes, he is equall

avanturin [10]

Answer:

0.0286 = 2.86% probability that today is Monday.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Dressed correctly

Event B: Monday

Probability of being dressed correctly:

100% = 1 out of 4/7(mom dresses).

(0.5)^3 = 0.125 out of 3/7(toddler dresses himself). So

$P(A) = 0.125\frac{3}{7} + \frac{4}{7} = \frac{0.125*3 + 4}{7} = \frac{4.375}{7} = 0.625$

Probability of being dressed correctly and being Monday:

The toddler dresses himself on Monday, so (0.5)^3 = 0.125 probability of him being dressed correctly, 1/7 probability of being Monday, so:

$P(A \cap B) = 0.125\frac{1}{7} = 0.0179$

What is the probability that today is Monday?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0179}{0.625} = 0.0286$

0.0286 = 2.86% probability that today is Monday.

4 0

3 years ago