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rosijanka [135]
3 years ago
8

Sean lives 0.5 miles from the store. The store is 0.25 miles from his grandmothers house.sean is going to walktothe store and th

en to his grandmothers house. How far will he walk?
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

0.75

Step-by-step explanation:

<em>if you add  0.25 and 0.5 you get 0.75</em>

<em> 0.25</em>

+0.50

______

0.75

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When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl
NARA [144]

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

36x+\frac{xt}{3}-4x=xt

x(36+\frac{t}{3}-4)=xt

36+\frac{t}{3}-4=t

32=t-\frac{t}{3}

\frac{2t}{3}=32

t=\frac{(32)3}{2}=48

So 48 minutes it took to complete the race.

4 0
3 years ago
Read 2 more answers
Round each number to the nearest ten and estimate the sum.<br>82.14 + 38.5 + 41.3​
blagie [28]

82.14 will be rounded down to 80, 38.5 will be rounded up to 40, and 41.3 will be rounded down to 40.

80 + 40 + 40 = 160

The approximate sum is 160.

5 0
3 years ago
Read 2 more answers
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a
ZanzabumX [31]

Answer:

1) Null hypothesis:p\geq 0.41  

Alternative hypothesis:p < 0.41

2) \hat p=0.36 estimated proportion of people indicated that they watch the late evening news on this local CBS station

3) z_{crit}=-2.33

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

4) z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017  

5) z_{crit}=-1.28

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

6) We see that |t_{calculated}| so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

7) Null hypothesis:p\geq 0.41  

Step-by-step explanation:

Data given and notation  

n=100 represent the random sample taken

X represent the people indicated that they watch the late evening news on this local CBS station

\hat p=0.36 estimated proportion of people indicated that they watch the late evening news on this local CBS station

p_o=0.41 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v{/tex} represent the p value (variable of interest)  Part 1We need to conduct a hypothesis in order to test the claim that 11:00 PM newscast reaches 41 % of the viewing audience in the area:  Null hypothesis:[tex]p\geq 0.41  

Alternative hypothesis:p < 0.41

Part 2  

\hat p=0.36 estimated proportion of people indicated that they watch the late evening news on this local CBS station

Part 3

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.01 of the area on the left and on this case this value is :

z_{crit}=-2.33

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

Part 4

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017  

Part 5

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.1 of the area on the left and on this case this value is :

z_{crit}=-1.28

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

Part 6

We see that |t_{calculated}| so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

Part 7

Null hypothesis:p\geq 0.41  

4 0
3 years ago
NEED HELP ASAP!!
pantera1 [17]

Answer:

t=1/30 h = 2 min

Step-by-step explanation:

d = vt

system of equations:

d = 13t

d - 2/5 = t       ->     d = t+2/5

Solve

13t = t +2/5

t = 1/30 h = 60 min / 30 = 2 min

8 0
3 years ago
What indicators predict that a quadratic function will have a complex solution?
zysi [14]
The nature of the roots can be determined by the determinant of the equation. The determinant is:
b² - 4ac

If this is positive, there are two roots
If this is 0, there is only one root
If this is negative, there are complex roots
8 0
3 years ago
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