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
raketka [301]
3 years ago
15

Michael is 2 years older than his friend Jason. 16 years ago, Jason was half of Michael's age. how old is Jason now?

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

The present age of Jason is 18 years.

Step-by-step explanation:

Let the present age of Jason be x years.

Michael is 2 years older than Jason.

So, the present age of Michael be x+2 years.

16 years ago,

Jason's age =x-16 years.

Michael' age =x+2-16=x-14 years.

According to the question, 16 years ago, Jason was half of Michael's age.

So, x-16=\frac{1}{2}(x-14)

\Rightarrow 2\left ( x-16 \right )=(x-14)

\Rightarrow 2x-32=x-14

\Rightarrow 2x-x=-14+32

\Rightarrow x=18

Hence, the present age of Jason is 18 years.

You might be interested in
Find the exact value of ..<br> Х<br> 15<br> 6
devlian [24]
Is the answer ur looking for 25
6 0
2 years ago
PLEASE HELP!!!Determine whether each pair of triangles is congruent. If so, write a congruence statement with a congruence condi
Marizza181 [45]

Answer:

They are congruent.

Step-by-step explanation:

We know this for the fact that angle D and angle A are the same.

Angle B and angle A are the same

The line AB and DE are the same.

Not sure about transformations but I think it was transformed around the origin.

Not 100 percent about the last part.

Hope this helps.

6 0
3 years ago
Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central district. The city plans to pay
andrezito [222]

Answer:

a) For this case we need to use a t distribution since we know the information about a sample and we don't know the population deviation.

b) 126-1.77\frac{15}{\sqrt{14}}=118.904    

126+1.77\frac{15}{\sqrt{14}}=133.096    

So on this case the 90% confidence interval would be given by (118.904;133.096)

c) For this case since confidence interval include tha value of 130 so then we don't have enough evidence to conclude that the claim by the consultant is incorrect.    

Step-by-step explanation:

Part a

For this case we need to use a t distribution since we know the information about a sample and we don't know the population deviation.

Part b

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

\bar X=126 represent the sample mean

\mu population mean (variable of interest)

s=15 represent the sample standard deviation

n=14 represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=14-1=13

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,13)".And we see that t_{\alpha/2}=1.77

Now we have everything in order to replace into formula (1):

126-1.77\frac{15}{\sqrt{14}}=118.904    

126+1.77\frac{15}{\sqrt{14}}=133.096    

So on this case the 90% confidence interval would be given by (118.904;133.096)

Part c

For this case since confidence interval include tha value of 130 so then we don't have enough evidence to conclude that the claim by the consultant is incorrect.    

6 0
3 years ago
Please I need help fast please help me
Effectus [21]

Answer:   0-o uhhhh 0-o

uhhhh0-o

Step-by-step explanation:

5 0
3 years ago
Help pls
lesya692 [45]

Answer:

X<_ -15.6 (first one)

Step-by-step explanation: I think

7 0
3 years ago
Read 2 more answers
Other questions:
  • Given that cos (x) = 1/3, find sin (90 - x)
    5·2 answers
  • You are in charge of managing the advertising for a restaurant. You are able to buy up to 62 advertisements a month, and your da
    12·2 answers
  • A divers final score 77.7 what is the degree of difficulty of the dive
    6·1 answer
  • 1. Vincent spent 4/7 of his money on a pair of shoes. The shoes cost $48. How much money did he have at first?
    10·1 answer
  • 2-3/4z=1/8z+9 please show your steps!
    7·1 answer
  • How many units away is 1 from -6 on a number line?
    6·1 answer
  • Vlad tried to solve an equation step by step.
    9·2 answers
  • Which of the following is a logical conclusion to the conditional statements
    6·1 answer
  • A city has a population of 220,000 people. Suppose that each year the population grows by 6.25%. What will the population be aft
    9·1 answer
  • Can someone please help me, please
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!