Afinal exam in math 160 has a mean of 73 with a standard deviation 7.8. if 24 students are randomly selected, find the probability that the mean of their test scores is less than 70.a: 0.1006b: 0.0278c: 0.9699d: 0.0301

 Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Mean = 73

Standard deviation = 7.8

Number of students are randomly selected = 24

So, n = 24.

Since it is normally distributed , so, we have

[tex]P(x<70)=P(z<\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}})=P(z<\frac{70-73}{\frac{7.8}{\sqrt{24}}}\\\\P(z<\frac{-3}{1.592})\\\\=P(z<-1.88)\\\\=0.03005=0.0301/tex]

Hence, Option 'D' is correct.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

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