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3 years ago

Solve these questions (ALL)

Mathematics

1 answer:

Temka [501]3 years ago

3 0

Answer:

-2x+3(-5x+1)=-2x+(-15x+3)

=-2x-15x+3

=-17x+3

-5/3a+1/8-1/6a-1/2=-5/3a-1/6a+1/8-1/2

=-40/24a-4/24a+3/24-12/24

=-44/24a-9/24

=-11/6a-3/8

3(1/5x-1/7)=3/5x-3/7

Hence, ans: C

-1.5w+7.5=1.5(-w+5)

=-1.5(w-5)

Hence, ans: A

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1. What is the difference between a median of a triangle and an altitude?

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The difference between a median and altitude of a triangle is given below :

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Step-by-step explanation:

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Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side .But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

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The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos

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Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

Step(i):-

Given mean of the population = 500

Given standard deviation of the Population = 75

Let 'X' be the variable in normal distribution

$Z = \frac{x-mean}{S.D}$

Given X = $410

$Z = \frac{410-500}{75} = - 1.2$

Step(ii):-

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

= 0.5 - A( -1.2)

= 0.5 - A(1.2)

= 0.5 - 0.3849 ( ∵from normal table)

= 0.1151

Final answer:-

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

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3 years ago