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3 years ago

Triangles have a total of 180°. Use the triangle below to determine the the value of X.

Mathematics

2 answers:

blsea [12.9K]3 years ago

5 0

I will need to see the triangle

Lapatulllka [165]3 years ago

5 0

Answer:

We can't tell there is no information about the triangle

Step-by-step explanation:

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The shear strength of each of ten test spot welds is determined, yielding the following data (psi).

Mumz [18]

Answer:

a) Mean = 382.3 psi

Standard deviation = 20.8 psi

b) 392.7 psi

c) P(X<400)=0.8026

Step-by-step explanation:

a) The population mean can be estimated as equal to the mean of the sample, and the population standard deviation can be estimated from the sample standard deviation:

$M=\frac{1}{n}\sum x_i=\frac{1}{10}(389+405+409+367+358+415+376+375+367+362)\\\\M=\frac{1}{10}(3823)=382.3\\\\\mu\approx M=382.3$

$s=\sqrt{\frac{1}{n-1}\sum (x_i-M)^2}=\sqrt{\frac{1}{10-1}(389-382.3)^2+...+(362-383.2)^2}\\\\\\s=\sqrt{\frac{1}{9}(3906.1)}=\sqrt{434}=20.8\\\\\\\sigma\approx s=20.8$

b) We start by searching for the z-value for the 95th percentile. This value is

z=1.645:

$P(z$

Then, the strength value below which 95% of all welds will have their strengths is:

$X=\mu+z\cdot \sigma/\sqrt{n}=382.3+1.645*20.8/\sqrt{10}\\\\X=382.3+32.9/3.2=382.3+10.4\\\\X=392.7$

c) We calculate the probability of X being equal or less than 400 as:

$z=(X-\mu)/\sigma=(400-382.3)/20.8=17.7/20.8=0.851\\\\\\P(X\leq400)=P(z$

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3 years ago

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in

garri49 [273]

Answer:

The correct ratio is 7:8, so no, Emma is not correct.

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3 years ago

Classify the triangle shown below. Check all that apply.

Alex777 [14]

Answer:

It's actually right and scalene

Step-by-step explanation:

Since there is a ninety degree angle, it isn't obtuse or acute because the angle is a right angle. And since all the side lengths are different, it must be scalene in comparison to isoceles or equilateral.

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Complete this conjecture: the number of segments determined by n points is ____

Nadya [2.5K]

N(n-1)/2
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