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allochka39001 [22]
3 years ago
7

Factor the trinomial: 5x^2-2x-7

Mathematics
1 answer:
Andrew [12]3 years ago
4 0
5x^2-2x-7=5x^2+5x-7x-7=5x(x+1)-7(x+1)\\\\=\boxed{(x+1)(5x-7)}
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Write a expression that uses partial products to multiply 8 x 64
krok68 [10]
8 x 64
=64 x 2 x 4
=128 x 2 x 2 
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=512
3 0
4 years ago
he amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and s
sp2606 [1]

Complete question:

He amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and standard deviation 1.4 minutes. Suppose that a random sample of n equals 47 customers is observed. Find the probability that the average time waiting in line for these customers is

a) less than 8 minutes

b) between 8 and 9 minutes

c) less than 7.5 minutes

Answer:

a) 0.0708

b) 0.9291

c) 0.0000

Step-by-step explanation:

Given:

n = 47

u = 8.3 mins

s.d = 1.4 mins

a) Less than 8 minutes:

P(X

P(X' < 8) = P(Z< - 1.47)

Using the normal distribution table:

NORMSDIST(-1.47)

= 0.0708

b) between 8 and 9 minutes:

P(8< X' <9) =[\frac{8-8.3}{1.4/ \sqrt{47}}< \frac{X'-u}{s.d/ \sqrt{n}} < \frac{9-8.3}{1.4/ \sqrt{47}}]

= P(-1.47 <Z< 6.366)

= P( Z< 6.366) - P(Z< -1.47)

Using normal distribution table,

NORMSDIST(6.366)-NORMSDIST(-1.47)

0.9999 - 0.0708

= 0.9291

c) Less than 7.5 minutes:

P(X'<7.5) = P [Z< \frac{7.5-8.3}{1.4/ \sqrt{47}}]

P(X' < 7.5) = P(Z< -3.92)

NORMSDIST (-3.92)

= 0.0000

3 0
3 years ago
Write as a decimal fraction of a cm (a) 5 mm (b) 8mm
lys-0071 [83]
1 mm = 0.1 cm

(a) 5 mm

5 × 0.1 = 0.5 

Fraction :- 5/0.5
5 ÷ 0.5 =10
Decimal:- 10

(b) 8 mm

8 × 0.1 = 0.8

Fraction:- 8/0.8
8 ÷ 0.8 = 10
Decimal:- 10
8 0
3 years ago
Read 2 more answers
An elevator at a department store must carry fewer than 17 people at a time. An elevator operator is present in the elevator at
natulia [17]
I'd say it's x + 1 < 17.
Because the operator should be included as a person as well.
8 0
3 years ago
Read 2 more answers
What is the slope of the line.
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-4/5 is the skip of the graph
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3 years ago
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