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zvonat [6]
3 years ago
6

What is the distance between the points (5,0) and (2,1)?

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

\sqrt{10}

Step-by-step explanation:

a^2+b^2=c^2

3^2+1^2=c^2

9+1=c^2

c^2=10

c= \sqrt{10}

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Find the lcm of 5xy and x²<br>​
lutik1710 [3]

Answer:

5x^{2}y

Step-by-step explanation:

LCM = common factor x Non common factor

common factor= x

Non common factor=5xy

5 0
3 years ago
If a circle has radius 10 cm, find the length of the arc subtended by a central angle of 36°.
snow_lady [41]
Angle =  36 degrees  =  \frac{\pi}{180} \times 36  = \pi / 5

now, radius =  10 cm

so arc =  radius x angle  =  10 x pi/5  =   2pi  = 6.28 cm
3 0
3 years ago
joshua is hiking glacier national park he has now hiked a total of 17km and is 2km short of being 1/2 of the way done with his h
elixir [45]
If he hikes another 2 km, he will be halfway there.

17+2= (1/2)x
19=(1/2)x
38=x

Final answer: The total length of the hike is 38 km
4 0
4 years ago
An automobile manufacturer has given its car a 52.6 miles/gallon (MPG) rating. An independent testing firm has been contracted t
Arte-miy333 [17]

Answer:

Null hypothesis:\mu = 52.6  

Alternative hypothesis:\mu \neq 52.6  

z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976    

p_v =2*P(z>1.976)=0.0482  

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

Step-by-step explanation:

Information provided

\bar X=52.8 represent the sample mean  for the MPG of the cars

\sigma=1.6 represent the population standard deviation

n=250 sample size  of cars

\mu_o =52.6 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test

Hypothesis

We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:  

Null hypothesis:\mu = 52.6  

Alternative hypothesis:\mu \neq 52.6  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Calculate the statistic

Replacing we have this:

z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976    

Decision

Since is a two tailed test the p value would be:  

p_v =2*P(z>1.976)=0.0482  

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

3 0
3 years ago
3x- 4x + x<br> Like terms or not Like terms?
tester [92]

Answer:

like terms

Step-by-step explanation:

they all are terms that include the letter x

5 0
3 years ago
Read 2 more answers
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