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
snow_lady [41]
3 years ago
13

Two planes start from los angeles international airport and fly in opposite directions. the second plane starts 1/2 hour after t

he first plane, but its speed is 60 kilometers per hour faster. find the airspeed of each plane if 2 hours after the first plane departs, the planes are 3135 kilometers apart.
Mathematics
1 answer:
mixer [17]3 years ago
6 0
Let x = first plane's speed.  
We have the equation:
 2 hours * x km/h + 1.5 hours * (x+60) km/h = 3135 km. 
 3.5 hours*x km/h + 90 km = 3135km
 3.5hours*x km/h = 3045km 
 x = 870 km/h. 
 The first plane is traveling at 870 km/h, therefore since it is 60 km/h faster, the second plane is traveling at 930 km/h.
You might be interested in
Which is the result of the following equation<br><br> 3x ^2-9=0
pickupchik [31]
X = <span>1.73205080757 Hope I helped</span>
6 0
3 years ago
Read 2 more answers
ILL GIVE U BRAINLYIST
nexus9112 [7]

Answer:

c

Step-by-step explanation:

ive had this before

8 0
3 years ago
Suppose that the researchers wanted to estimate the mean reaction time to within 6 msec with 95% confidence. Using the sample st
Lisa [10]

Answer:

a) The 95% confidence interval would be given by (509.592;550.308)  

b) n=523 rounded up to the nearest integer  

Step-by-step explanation:

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.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X=530 represent the sample mean for the sample  

\mu population mean

s=70 represent the sample standard deviation  

n=48 represent the sample size (variable of interest)  

Confidence =95% or 0.995

Part a

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

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

The degrees of freedom are df=n-1=48-1=47

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,47)".And we see that z_{\alpha/2}=2.01  

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

530-2.01\frac{70}{\sqrt{48}}=509.692  

530+2.01\frac{70}{\sqrt{48}}=550.308  

So on this case the 95% confidence interval would be given by (509.592;550.308)  

Part b

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (a)  

Assuming that \hat \sigma =s

And on this case we have that ME =6msec, and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (b)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (b) we got:  

n=(\frac{1.96(70)}{6})^2 =522.88 \approx 523  

So the answer for this case would be n=523 rounded up to the nearest integer  

3 0
2 years ago
Can someone help me with this math hw ​
AveGali [126]

Answer:

Step-by-step explanation:

F(x) = x² - 2x + 1

      = (x - 1)²

By comparing this equation with the vertex form of the quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex

Vertex of the parabola → (1, 0)

x-intercepts → (x - 1)² = 0

                       x = 1

y-intercepts → y = (0 - 1)²

                       y = 1

Now we can draw the graph of the given function,

From this graph,

As x → 0,

\lim_{x \to 0^{-}} (x-1)^2=1

\lim_{x \to 0^{+}} (x-1)^2=1

f(0) = (0 - 1)²

     = 1

Since, \lim_{x \to 0^{-}} (x-1)^2=\lim_{x \to 0^{+}} (x-1)^2=1

Therefore, given function is continuous at x = 0.

8 0
2 years ago
Between June 2017 and June 2018, the price of gasoline increased by 25%. If the price
WARRIOR [948]

Answer:

$2.4

Step-by-step explanation:

2018 June               2017June                    

125                            100

1                                 0.75

Therefore,  3= 100x3/125

=300/125

=$2.4

hope it helps:D

plz mark me as brainliest

6 0
2 years ago
Other questions:
  • Roger owns a one acre piece of land . The length of the land is 484 feet. What is the width of his property
    9·1 answer
  • The area of the net the team uses is no more than 107.25 ft2. The width of the net is 3.25 feet.
    7·2 answers
  • What is the answer please
    8·1 answer
  • What is the mode of the following set? {21, 25, 21, 26, 29, 25, 21, 29, 25, 26, 23, 25}
    14·2 answers
  • Does anyone know the answer to this?​
    12·1 answer
  • Two congruent squares are shown in figures 1 and 2 below
    12·1 answer
  • If the simple interest on ​$1000 for 5 years is ​$250, then what is the interest​ rate?
    6·2 answers
  • April, May and June have
    5·2 answers
  • Factor the trinomial completely.<br> 3n2 - 48n + 192
    14·1 answer
  • Name the property shown by each statement.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!