Answer:
19,80
Step-by-step explanation:
Hi, you just need to make a rounding: 19.796 => 19.80. Hope it helped!
Answer:
0.227
Step-by-step explanation:
Given that X is binomial with n=7 and p =0.5
To find the probability for P(X<3)
i.e. we have to find prob as =P(x=0,1,2)
=P(X=0)+P(X=1)+P(x=2)
P(X=r)=7Cr(0.5)^7
Using binomial table we find prob
P(X<3)=0.2265
Round off this to 3 decimals as
0.227
Hence answer is 0.227
Answer: The correct option is
(C) y = −8 ÷ 2; y = −4.
Step-by-step explanation: We are given to select the correct steps that shows the solution to the following equation :

We know that
the solution to the equation
is given by

Therefore, the solution of equation (i) is as follows :

Thus, (C) is the correct option.
Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

Furthermore,

Finding PR and RS,

Then,


Solving for PS,

Solve the quadratic equation in terms of PS, as shown below
![\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5CRightarrow%20PS%5E2%2B16PS-132%3D0%20%5C%5C%20%5CRightarrow%20PS%3D%5Cfrac%7B-16%5Cpm%5Csqrt%5B%5D%7B16%5E2-4%28-132%29%7D%7D%7B2%7D%3D%5Cfrac%7B-16%5Cpm28%7D%7B2%7D%20%5C%5C%20%5CRightarrow%20PS%3D-22%2C6%20%5Cend%7Bgathered%7D)
And PS is a segment; therefore, it has to be positive.
Hence, the answer is PS=6