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
padilas [110]
3 years ago
9

Which statement represents the biconditional statement of the conditional statements?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

The measures of two angles have a sum of 90º if and only if the angles are complements.

if the angles are complementary they have to equal 90 otherwise they are not complementary

You might be interested in
The National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time requir
Paha777 [63]

Answer:

95​% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

Step-by-step explanation:

We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                              P.Q. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean time = 5.15 years

            \sigma = sample standard deviation = 1.68 years

            n = sample of college graduates = 4400

            \mu = population mean time

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.</em>

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                               level of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ]

                                              = [ 5.15-1.96 \times {\frac{1.68}{\sqrt{4400} } } , 5.15+1.96 \times {\frac{1.68}{\sqrt{4400} } } ]

                                             = [5.10 , 5.20]

Therefore, 95​% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

8 0
3 years ago
X / 3 - (x+5) / 5 = 7
Nastasia [14]

Answer:

x= 60

Explanation:

7 0
3 years ago
:
Degger [83]

Let x = pounds of $12 per pound coffee

then

20-x = pounds of $9 per pound coffee

.

12x + 9(20-x) = 10(20)

12x + 180 - 9x = 200

3x + 180 = 200

3x = 20

x = 20/3

x = 6 and 2/3 pounds of $12 per pound coffee

.

Amount of $9 per pound coffee:

20-x = 20-20/3 = 60/3 - 20/3 = 40/3

or

13 and 1/3 pounds of $9 per pound coffee

3 0
3 years ago
Can someone help me with at least one problem and tell me how you got the answer
Vesna [10]
S=16t^2
if t=3 
So you would plug it in
16(3)^2 
Then you multipy 
16*3^2
=144
It is easier if you use a calculator just type in ti 30 calculator online that should help

4 0
3 years ago
Jordan is preparing serving of baby carrots. He has 96 baby carrots, each serving is 12 carats, how many shearings can Jordan pr
lesantik [10]

Answer: See explanation

Step-by-step explanation:

Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.

The number of shearings that Jordan can prepare will be:

= 96 / 12

= 8

From the above calculation, there won't be any carrots left since we do not have a remainder.

5 0
3 years ago
Other questions:
  • Based on the information given in the following problem, compute the gross pay. Hours worked: 46 Regular rate of pay: $7.82 per
    13·1 answer
  • What is the difference of 97 and 79?? Do You has ever to multiply them??
    10·1 answer
  • Which statement best compares the graphs of f(x)=[x] and f(x)=[x]? The two graphs are exactly the same. The open and closed circ
    12·2 answers
  • Find x and y. Give reasons to justify your solutions.
    14·1 answer
  • You have 7 folders and you want to put the same number of pages in each folder if you have a total of pages how many pages will
    10·1 answer
  • A chemistry teacher needs to mix an acid solution for an experiment. how much hydrochloric acid needs to be mixed with 1500 mill
    12·1 answer
  • Solve the equation. Check your answer. If necessary, round to 3 decimal places<br> In x = -2, x=
    7·1 answer
  • 100/50 * 10<br> give the answer
    5·2 answers
  • The following equation has two different solutions. Solve the equation and place one solution in each answer box. The LARGER ans
    6·1 answer
  • Which expression is equivalent to 2(3g - 4) - (8g + 3)?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!