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3 years ago

A bicyclist travels 1 mile in 5 minutes. If m represents minutes, what does the expression m over 5 represent

1 answer:

4 0

The expression m over 5 would represent the number of miles the bicyclist had traveled for a time of 5 minutes. This value is a value of speed. It is the magnitude of a velocity. It represents the total distance that is traveled for given certain period of time. It is a scalar quantity since it does not have any direction. It would have dimensions of distance per time with SI units of meter per second. Other units used are kilometer per hour and miles per hour. The vector quantity counterpart of this is called the velocity where it contains the magnitude of the speed and a direction. The direction of velocity is indicated by a positive and a negative sign.

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D(1)=3 d(n) = d(n-1) - 14 what is the third term in the sequence

Aliun [14]

2nd term = 3 - 14 = -11
3rd tern = -11-14 = -25 answer

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3 years ago

What is 6 divided by 1/3

-BARSIC- [3]

6 / 1/3 = 18

Hope I helped!

~ Zoe

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3 years ago

Read 2 more answers

I’m confused can ya help me

Harlamova29_29 [7]

Answer:

C & D

Step-by-step explanation:

x² + 3x - 3 = 0

a = co efficient of x² = 1

b= co efficient of x = 3

c = constant = -3

roots = (-b ± $\sqrt{b-4ac}$ )/2a

= (-3± $\sqrt{3^{2}-4*1*[-3]}$ )/2*1

= (-3± $\sqrt{9+12}$ )/2

= (-3±√21)/2

$x = \frac{-3+\sqrt{21}}{2} ; x =\frac{-3-\sqrt{21}}{2}$

7 0

3 years ago

Consider testing H^0: u=20 against H^a: u<20 where u is the mean number of latex gloves used per week by all hospital employe

iragen [17]

Answer:

Part a: P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=46-1=45$

Since is a one sided test the p value would be:

$p_v =P(t_{(45)}$

Part b: Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, and we can conclude that the true mean is not lower than 20 at 1% of signficance.

a. There is insufficient evidence to reject h^0

Step-by-step explanation:

Data given and notation

$\bar X=19.1$ represent the sample mean

$s=11.8$ represent the sample standard deviation

$n=46$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is lower than 20, the system of hypothesis would be:

Null hypothesis: $\mu \geq 20$

Alternative hypothesis: $\mu < 20$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{19.1-20}{\frac{11.8}{\sqrt{46}}}=-0.517$

Part a: P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=46-1=45$

Since is a one sided test the p value would be:

$p_v =P(t_{(45)}$

Part b: Conclusion

a. There is insufficient evidence to reject h^0

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3 years ago

The circle given by (x-1)^2 + (y-1)^2 =1

Olenka [21]

Answer:

Step-by-step explanation:

its center is (1,1) and radius=1

8 0

3 years ago