All categories

1 year ago

I NEED HELP ASAP!!!!!!!!

Mathematics

2 answers:

zepelin [54]1 year ago

7 0

Answer:

Step-by-step explanation:

PQS and RQS are supplementary

PQS +68=180

PQS =112

x+ 112+TSQ=180

4x=3x+TSQ

TSQ=x which means

2x+112=180

2x=68

x=34

maks197457 [2]1 year ago

6 0

Ref to the fig
PQS+68=180(adj angle on st.line)
PQS=112
PSR=4x( opp angle st.line)

PSQ+3x=4x
PSQ=x

X+PQS+PSQ=180(angle sum of triangle)
2x+112=180
2x=68
x=34

You might be interested in

In this equation, the variable is divided by 8. What is the reverse of this

Marrrta [24]

Answer:

Step-by-step explanation:

multiplication is the inverse of division and subtraction is the inverse of addition

4 0

3 years ago

Which function is the inverse of f(x)= B^X

Scrat [10]

Answer:

Step-by-step explanation:

Let's retype that as y = b^x. The inverse of this function is log y = x

which you could also write as y = ln x

If you had y = e^x, the inverse function would be y = ln x.

Note that if you let ln x be the input to y = e^x, the result would be just 'x,' which confirms that these two functions are inverses of one another.

8 0

3 years ago

The clearance between a pin and the collar around it is important for the proper performance of a disc drive for small computers

hichkok12 [17]

Answer:

(a) The distribution of (Y - X) is N (0.001, 0.0005).

(b) The probability that the pin will not fit inside the collar is 0.023.

Step-by-step explanation:

The random variable X is defined as the diameter of the pin and the random variable Y is defined as the diameter of the collar.

The distribution of X and Y is:

$X\sim N(0.525, 0.0003)\\Y\sim N(0.526, 0.0004)$

The random variables X and Y are independent of each other.

(a)

Compute the expected value of (Y - X) as follows:

$E(Y-X)=E(Y)-E(X)=0.526-0.525=0.001$

The mean of (Y - X) is 0.001.

Compute the variance of (Y - X) as follows:

$V(Y-X)=V(Y)+V(X)-2Cov(X,Y)\\=V(Y)+V(X);\ X\ and\ Y\ are\ independent\\=0.0003^{2}+0.0004^{2}\\=0.00000025$

$SD(Y-X)=\sqrt{0.00000025}=0.0005$

The standard deviation of (Y - X) is 0.0005.

Thus, the distribution of (Y - X) is N (0.001, 0.0005).

(b)

Compute the probability of [(Y - X) ≤ 0] as follows:

$P(Y-X\leq 0)=P(\frac{(Y-X)-\mu_{Y-X}}{\sigma_{Y-X}}\leq \frac{0-0.001}{0.0005})=P(Z$

*Use a z-table for the probability value.

Thus, the probability that the pin will not fit inside the collar is 0.023.

8 0

3 years ago

Find the domain and range of the relation and determine whether it is a function.

Sergio [31]

A is the correct answer. A function is defined where every input, x, has only one output. The coordinates are on the graph are (-4,-1), (-1,4), (1,1), and (4,1). As you can see, there is only one output for every input. X is the domain and y is the range.

3 0

3 years ago

Read 2 more answers

What is the 20th term of the arithmetic sequence a(n)=-5+(n-1)3

Svetllana [295]

Answer:

Step-by-step explanation:

a(n)=-5+(n-1)3

a(20)=-5+(20-1)3

a(20)=52

4 0

3 years ago