1answer.
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
satela [25.4K]
3 years ago
11

Point T is on line segment \overline{SU} SU . Given ST=12ST=12 and TU=3,TU=3, determine the length \overline{SU}. SU

Mathematics
1 answer:
vova2212 [387]3 years ago
3 0

Answer:

SU = 15

Step-by-step explanation:

Given that,

Point T is on line segment SU. So,

SU = ST + TU

Putting all the values, we get :

SU = 12 + 3

SU = 15

Hence, the length of SU is 15 units.

You might be interested in
What number is half way between 21 and 63?
andre [41]
The # halfway in between 21 and 63 is 42.
8 0
3 years ago
What is the equation of the line that passes through the point (5,-2)and has a slope of the fraction 6/5?
Tju [1.3M]

Answer:

6x-5y-40 = 0

Step-by-step explanation:

y-(-2)=6/5(x-5)

5(y+2)= 6(x-5)

5y+10 =6x-30

6x-5y-40 = 0

6x-5y-40 = 0 is the answer

5 0
3 years ago
The amount of money spent on textbooks per year for students is approximately normal.
Ostrovityanka [42]

Answer:a

a

   336.04    <  \mu < 443.96

b

  The  margin of error will increase

c

The  margin of error will decreases

d

The 99% confidence interval is  0.4107 <  p  < 0.4293

Step-by-step explanation:

From the question we are  told that

   The sample size  n =  19

    The sample mean is  \= x  = \$\  390

    The  standard deviation is  \sigma =  \$ \  120

 

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha = 100 -  95

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table

    So  

         Z_{\frac{\alpha }{2} } =  1.96

The  margin of error is mathematically represented as

      E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>    E = 1.96 *  \frac{120}{\sqrt{19} }

=>   E = 53.96

The 95% confidence interval is  

     \= x  -  E  <  \mu < \= x  +  E

=>   390  -   53.96   <  \mu < 390  -   53.96

=>  336.04    <  \mu < 443.96

When the confidence level increases the Z_{\frac{\alpha }{2} } also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

         n  \  \ \alpha  \ \  \frac{1}{E^2 }

So if the sample size increases the margin of error decrease

The  sample proportion is mathematically represented as

       \r p  =  \frac{210}{500}

       \r p  = 0.42

Given that the confidence level is 0.99 the level of significance is  \alpha =  0.01

The critical value of \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} }  =  2.58

  Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} }*  \sqrt{ \frac{\r p (1- \r p )}{n} }

=>   E =  0.42 *  \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }

=>     E =  0.0093

The 99% confidence interval  is

     \r p  -  E <  p  < \r p  +  E

     0.42  -  0.0093 <  p  < 0.42  +  0.0093

     0.4107 <  p  < 0.4293

 

4 0
3 years ago
1. Find the value of x in the diagram below. <br> a) 8 <br> b) 10 <br> c) 12 <br> d) 16
taurus [48]

Answer:19.3

Step-by-step explanation:

96+28=124

6x+8=124

124-8=116

6x=116

116/6

x=19.3

7 0
3 years ago
when a three-dimensional figure is extended infinitely in all directions, which of the following best describes what is formed?
HACTEHA [7]
Probably A, a plane

I hope this helps you! If it does, please rate as Brainliest :D
7 0
3 years ago
Read 2 more answers
Other questions:
  • Todd had 6 gallons of gasoline in his motorbike. After driving 150​ miles, he had 3 gallons left. Compute the​ slope, or rate of
    9·2 answers
  • One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a ca
    10·1 answer
  • How are a trapezoid and parallelogram alike and how are they different
    6·1 answer
  • A bag contains a red, a green, and a purple marble. In which distributions does the variable X have a binomial distribution? Sel
    5·1 answer
  • Given a graph of a function, explain how to find the rate of change and how to determine whether it is a linear or nonlinear fun
    15·2 answers
  • If a NYC teacher gets paid 6048 in one week how many cents do they make in one sec
    13·2 answers
  • Please Answer! Thanks. <br><br> $45,838.22 / 12=
    9·2 answers
  • 5. Write a real-world problem that can be represented by the<br> expression 21 + (12 x 2).
    10·1 answer
  • Please help me interpret the p-value!
    13·1 answer
  • Drag the sliders.<br> Which slider creates scale copies of the shape?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!