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Pavlova-9 [17]
2 years ago
13

Good morning temperature is -15° but the afternoon the temperature raises by 20° right in addition expressions for the afternoon

temperature vent to shoulders and find the temperature in the afternoon
Mathematics
1 answer:
stealth61 [152]2 years ago
7 0

Answer:

+ 5°

Step-by-step explanation:

Given,

Good morning temperature = -15°

Raise in temperature = 20°

Afternoon temperature = -15° + 20°

           = + 5°

Hence, temperature in after noon is equal to + 5°.

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\begin{aligned}\tt 5x-13x&\geq 16\\\tt (5-13)x&\geq\tt 16\\\tt -8x&\geq\tt 16\\\tt 8x&\leq\tt -16\\\tt x&\leq\tt\frac{-16}{8}\\\tt x&\leq\tt -2\end{aligned}

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Given that Sn = 1a + (n-1)d1
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4 0
3 years ago
Read 2 more answers
g The distribution of heights of 7-year-old girls is approximately normally distributed with a mean of 47.7 inches and a standar
Lana71 [14]

Answer:

a) 90th percentile

b) X = 51.43 ( Sophia's height ) , Amy's height = 50.92

c)  0.2394

d)  46.44 inches

Step-by-step explanation:

mean value( <em>u</em> ) = 47.7 inches

std ( σ )= 2.4 inches

Amy height = 1.34 std above mean value

Sophia height = 94th percentile of height distribution

A ) what percentile is Amy's height

To Calculate the percentile of Amy's height

P( X ≤  50.916   ) = P( (X-µ)/σ )  ≤  (50.916-47.7) /2.4)  

=P(Z ≤  1.340  ) = 0.9099  = 90th percentile

B) How Amy's height compare to Sophia's

The proportion given based on Sophia's height = 0.94

z -value at the proportion ( 0.94 ) = 1.55 ( from excel )

note z-value can be calculated using  =  ( x - µ ) / σ                      

therefore: X (Sophia's height )  = zσ + µ=   (1.55 * 2.4)  +  47.7  

 X = 51.43 ( Sophia's height ) , Amy's height = 50.92

C) percentage expected to be taller than 49.4 inches

P ( X ≥ 49.40  ) = P( (X-µ)/σ)  ≥ (49.4-47.7) / 2.4)              

= P(Z ≥ 0.708 )

= P( Z <  -0.708   )

= 0.2394

D) Below what height are the shortest 30% of 7-year old girls

( <em>u</em> ) = 47.7 inches

std ( σ )= 2.4 inches

given proportion = 30% = 0.3

The z value at 0.3 = -0.52 ( from excel )

to calculate for X ( height ) we have to apply the formula used to determine z value

z= (x-µ) /σ

hence : X = (Z * σ)  +<em> u = </em>(-0.52 * 2.4 ) + 47.7

            X = 46.44

below 46.44 inches lies about 30% of 7 year old girls height

6 0
3 years ago
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