answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bazaltina [42]
2 years ago
15

True False Problem Enter T or F depending on whether the statement is true or false. (You must enter T or FTrue and False will n

ot work.)
1. If the solution to a system of linear equations is given by (4 - 2z, -3 +z, z), then (4, -3, 0) is a solution to the system
2. If the number of rows of an augmented matrix in reduced row-echelon form is greater than the number of columns (to the left of the vertical bar), then the system has infinitely many solutions
3. If a matrix is in reduced-row echelon form, then the first nonzero entry in each row is a 1 and has O's below it.
Mathematics
1 answer:
slamgirl [31]2 years ago
5 0

Answer:

t

Step-by-step explanation:

You might be interested in
Which is equivalent to sin 51°?<br><br>A) cos 51°<br>B) cos 39°<br>C) tan 39°<br>D) tan 51°​
____ [38]
The answer is B
have a great day
8 0
2 years ago
The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran
Ganezh [65]

Answer:

a) Hypothesis mean differs from 0.5025. Rejected

b) P-value = 0

c) 0.50456 < u < 0.50464

Step-by-step explanation:

Given:

- The standard deviation s.d = 0.0001 in

- The mean of the sample x = 0.5046 in

- Sample size n = 25

Find:

a) Test the hypothesis that mean rod. Assume two-sided alternative and significance level of 0.05.

b) Find the p-value for test in part

c) Construct a 95% two-sided confidence interval on the mean rod diameter.

Solution:

- The random variable X: the measurements for rod diameter follows a normal distribution:  

                                       X~ N( 0.5025 , 0.0001 )

- Testing H_o: u_o = 0.5025  , H_1 : u_o not equal 0.5025

- Compute the corresponding Z-score:

                             Z_o = (0.5046 - 0.5025) / 0.0001/sqrt(25)

                             Z_o = 105

- The Z score value with respect to significance level is:

                            Z_a/2 = Z_0.025 = 1.96

Hence, Z_o > Z_a/n

- The hypothesis H_o is rejected the mean differs from 0.5025.

- The corresponding P-Value is:

                            P-value = 2*(1 - sig(Z_o)) = 2*(1 - sig(105))

                           P-value = 2*(1-1) = 0

- The confidence interval is:

                 ( x - Z_a/2(s.d/sqrt(n)) < u <  ( x + Z_a/2(s.d/sqrt(n))

  ( 0.5046 - 1.96(0.0001/sqrt(25)) < u <  ( 0.5046 + 1.96(0.0001/sqrt(25))  

                              0.50456 < u < 0.50464

3 0
2 years ago
It takes a ship 4 hours to cover 420 km with the current and 6 hours against the current. Find the speed of the ship in still wa
KiRa [710]
Let s be the speed of the ship, and c be the speed of the current. 

We know that distance equals speed multiplied by the time. 

With the current
     \left(s+c\right)\left(4\:hours\right)=420\:km
     or
     s+c=105
This is our first equation.

Now, against the current, we have
     \left(s-c\right)\left(6\right)=420
     or
     s-c=70
This is our second equation. 

We solve the equations simultaneously, by adding them together
     2s-0c=175

     s=87.5\:km/hr

Substitute s=87.5 to the first equation to solve for c.
     87.5+c=105

     c=17.5\:km/hr

The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr. 
     
3 0
2 years ago
Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract
tigry1 [53]

Answer:

In simplified fraction, it is expressed as : 1/16, 1/4, 3/8, 1/4, 1/16.

Step-by-step explanation:

The discrete probability distribution for the random variable is as follows:

The number of tails possible in four tosses of a coin are 0,1,2,3,4

The total number of outcomes are  

The Probability distribution is

X 0 1 2 3 4

P(X)  1/16 4/16 6/16 4/16 1/16        

Therefore, In simplified fraction, it is expressed as : 1/16, 1/4, 3/8, 1/4, 1/16.

8 0
2 years ago
Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction o
rodikova [14]
 look at the whole numbers and not the tenths and hundreds and stuff.

<span>1, 2, 3.25, and then the fraction </span>
7 0
2 years ago
Read 2 more answers
Other questions:
  • The random variable X is normally distributed with mean 82 and standard deviation 7.4. Find the value of q such that P(82 − q &l
    12·1 answer
  • Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the st
    7·2 answers
  • A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For th
    14·2 answers
  • Which equation represents a proportional relationship that has a constant of proportionality equal to 2?
    8·2 answers
  • Which describes the transformation? Select three options. It is rigid. It is nonrigid. It is isometric. The size is preserved. T
    6·2 answers
  • It is 1 1/4 miles from Ahmed’s house to school. How far does Ahmed’s travel in 5 days walking to school and back
    5·1 answer
  • If 2x+9&lt;32 then x could be
    14·2 answers
  • Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o​
    6·1 answer
  • On a coordinate plane, the x-axis is labeled Minutes and the y-axis is labeled Distance (in blocks). Point A is (5, 8), point B
    14·3 answers
  • The Dot plot shows the salaries for the employees that two small companies before a new company head is hired on each company se
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!