MATHEMATICS HIGH SCHOOL

When all dimensions of a figure change proportionally, the figure is _______ the original figure.A)similar to
B)half the area of
C)longer, but the same width as
D)congruent to

Answers

Answer 1
Answer: similar to im pretty sure

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Angles l and m are supplementary. what is the sum of their measures? (Is the answer 180?)

Answers

Yes, the sum of their measures is 180.
Yes. Your right, the answer IS 180.

4. Twenty-five percent of the fish in anaquarium are goldfish. There are 124
total fish in the aquarium. How many of
the fish are goldfish?
A. 5
B. 25
C. 31
D. 99

Answers

\bold{ANSWER:}
C) 31

\bold{SOLUTION:}

There are 46 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen first examination paper is a random variable with an expected value of 5 min and a standard deviation of 4 min. (Round your answers to four decimal places.)(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?(b) If the sports report begins at 11:10, what is the probability that he misses part of the report if he waits until grading is done before turning on the TV?

Answers

Answer:

a) P ( T < 250 mins ) = 0.7695

b) P ( T > 260 mins ) = 0.1344

Step-by-step explanation:

- The RV from a sample has the following parameters that are mean = 5 mins, and standard deviation s = 4 mins.

- The entire population has n = 46 students.

- We will first compute the population mean u and population standard deviation σ as follows:

                            u = n*mean

                            u = 46*5 = 230 mins

                            σ = sqt ( n ) * s

                            σ = sqt ( 46 ) * 4

                            σ = 27.129 mins

- Approximating that the time taken T to grade the population of entire class follows a normal distribution with parameters u and σ as follows:

                            T~ N ( 230 , 27.129 )

Find:

- If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?

- The total time till 6:50 PM to 11:00 PM is ( 4 hr and 10 mins ) = 250 mins.

- We will compute the Z-value as follows:

                        Z = ( 250 - 230 ) / 27.129

                        Z = 0.7372

- Then use the Z-Tables and determine the probability:

                        P ( T < 250 mins ) = P ( Z < 0.7372 )

                        P ( T < 250 mins ) = 0.7695

Find:

-  If the sports report begins at 11:10, what is the probability that he misses part of the report if he waits until grading is done before turning on the TV?

- For the teacher to miss the sports report he must take more time than 6:50 PM to 11:10 P.M.

- The total time till 6:50 PM to 11:10 PM is ( 4 hr and 20 mins ) = 260 mins.

- We will compute the Z-value as follows:

                        Z = ( 260 - 230 ) / 27.129

                        Z = 1.10582

- Then use the Z-Tables and determine the probability:

                        P ( T > 260 mins ) = P ( Z > 1.10582 )

                        P ( T > 260 mins ) = 0.1344

How do you find the volume of an L-Block

Answers

To work this out, you need to picture the L as two different cuboids.

The " I "part of the L and the " - " part of the L .

You get the dimensions of "height, width, length"  of the " I " part, multiply them together. Save this number

Then you do the same for the " - " part of the L. Save this number

Add the two numbers you saved.

Parallel and Perpendicular Line Equations Write the slope-intercept form of an equation of the line that passes through the point (3.2) and is parallel to y = x + 5 yox. 1 X5​I need help asap pls

Answers

Answer:

y = x - 1

Step-by-step explanation:

Lines that are parallel have the same slope.  The slope of the given equation is 1.  This means that the new equation will also have a slope of 1.

Use the point-slope form to find the equation with the given point and slope.

y - y₁ = m(x - x₁)

y - 2 = 1(x - 3)

y - 2 = x - 3

(y - 2) + 2 = (x - 3) + 2

y = x - 1

Somebody answer this for me please

Answers

X // Y,    Y //  Z,   

By inference  X //  Z


The third option.
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