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Ksju [112]
3 years ago
6

1. Figure ABCD is similar to figure WXYZ. Which proportion must be true for these figures?

Mathematics
1 answer:
aksik [14]3 years ago
7 0

Answer:  see below

<u>Step-by-step explanation:</u>

If the figures are similar, then their corresponding sides are proportional.

ABCD ~ WXYZ

\dfrac{AB}{WX} = \dfrac{BC}{XY} = \dfrac{CD}{YZ} = \dfrac{AD}{WZ}

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The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with a
Naya [18.7K]

Answer:

P(X<240)=0.0521

P(240<X<270)=0.5466

280 days

Step-by-step explanation:

we are given the following information

mean=μ=266 days

standard deviation=σ=16 days

P(X<240)=P(X-μ/σ<240-266/16)=P(z<-1.625)

This probability can either be determined by utilizing normal distribution table or using Excel.

Using Excel function <em>NORM.S.DIST(-1.625,TRUE)</em> we get

P(X<240)=0.0521

P(240<X<270)=P((240-266)/16<X-μ/σ<(270-266)/16)=P(-1.625<z<0.25)

P(-1.625<z<0.25)=P(z<0.25)-P(z<-1625)

Using Excel function

<em>NORM.DIST(270,266,16,TRUE)-NORM.DIST(240,266,16,TRUE)</em> we get

P(240<X<270)=0.5466

P(X>x)=0.20

P(z>(x-266)/16)=0.20

Using Excel function <em>NORM.INV(0.8,266,16)</em> we get

x=280

<em>OR</em>

P(X>x)=0.2

The area to the right of x is 0.2 and the area between mean and x is

0.5-0.2=0.3

Looking for 0.3 in the normal distribution table we don't find 0.3 but the closest value is .3023 and it corresponds to z-value 0.85.

z=0.85

z=x-μ/σ

σ*z+μ=x

x=16*0.85+266

x=279.6≅280

The longest 20% of pregnancies lasts 280 days

4 0
3 years ago
Juan is on his school's archery team. In a match, he gets 12 arrows to shoot at a target. He gets 8 points if the arrow hits the
ElenaW [278]
B is the answer
Hope that helps
7 0
3 years ago
The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –
solniwko [45]

Answer:

Minimum temperature is 68.5 ° and maximum temperature is 76.5 °

Step-by-step explanation:

Given :

|x – 72.5| = 4.

When the Temperature of x is minimum So the Minimum temperature  is

|x - 72.5| = 4\\it\  can \ be \ written \ as \\72.5-x=4\\-x=4-72.5\\x=68.5

When the Temperature of x is maximum So the Maximum Temperature is

|x -72.5| = 4\\x-72.5=\ 4\\x=72.5+4\\x=76.5

Therefore The minimum temperature is 68.5 ° and the maximum temperature is 76.5 °

8 0
3 years ago
Read 2 more answers
The airplane Li's family will be flying on can seat up to 149 passengers. If 96 passengers are already on the plane,
mash [69]

Answer:

D:)

Step-by-step explanation:

6 0
3 years ago
Towing charge 30$ plus $3 per mile if I paid $117 how far was the car towed
max2010maxim [7]
117 - 30 = 87

87/3 = 29

The car was towed 29 miles

hope this helps
5 0
3 years ago
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