Can someone help me with this 5 question quiz?

Mathematics

1 answer:

zavuch27 [327]3 years ago

8 0

X= (-40,0)
y= (0,15)
May God bless you and your family

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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

JulijaS [17]

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

6 0

3 years ago

Can u help me please better picture

gladu [14]

Hi, there.

For this question, we can apply the Pythagorean theorem $a^2 + b^2 = c^2$ .

I'm sure you've seen this equation before, and they kind of tried to trip you up with this problem. Trust me, it's easier than it looks. Let's break it down.

Lengths a and b both have the value of 48, which means that the value s in $\sqrt{2s^2}$ is 48, because the length of the hypotenuse is the same as the length and height squared multiplied by 2.