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Elena-2011 [213]
2 years ago
14

Find the 92nd term of the arithmetic sequence -29, -22, -15, ...

Mathematics
1 answer:
kompoz [17]2 years ago
7 0

Answer:

608

Step-by-step explanation:

The appropriate general formula here is a(n) = a(1) + (n -1)d, where d is the common difference.  Here, d = +7.  Thus:

a(92) = -29 + (92-1)(7) = 608

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A high street store advertises 35% reduction on all clothing items. A dress costs £85 before the reduction. How much does it cos
Temka [501]

Answer:

£55.25

Step-by-step explanation:

Cost after reduction

=Cost before sale - Reduction in cost

= 85 - 35% of 85

= 85 - 0.35*85

= 85 - 29.75

= £55.25

3 0
2 years ago
Read 2 more answers
Simplify the following expressions <br> 1/4 (24-16x)<br><br> what is the sum?<br> 7/4 + (-1/5)
Artyom0805 [142]
1.55 i did that math too it was kinda hard but i did it
4 0
2 years ago
Multiply. -5•-1/7•4/8. Write your answer in simplest form.
Sphinxa [80]

Answer:

5/14

Step-by-step explanation:

Multiply.

(-5 × -1 × 4) / (7 × 8)

20/56

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5/14

7 0
3 years ago
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Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob
miskamm [114]

Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

P(x)=^nC_x p^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}

=36(0.12)^2 (0.88)^7+84(0.12)^3 (0.88)^6

=0.279266611163

\approx 0.28

=28\%

7 0
3 years ago
Write the ratio as a fraction in simplest form. 63 : 28
Vesnalui [34]
Here, both numbers are divisible by 7 so that brings you to 9:4
5 0
3 years ago
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