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Alex17521 [72]
2 years ago
13

A=1/2h(B+b); A=15, B=4,b=1

Mathematics
1 answer:
suter [353]2 years ago
4 0

step by step

A=1/2h(B+b)

15=1/2h(4+1)

15/(4+1)=1/2h

15/5=1/2h

3=1/2h

h=2*3

h=6

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Which of the following are characteristics of the cubic parent function? Select all that apply .
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Answer:

  B, D

Step-by-step explanation:

The cubic function is plotted in the attachment. It is a curve found in quadrants I and III, so is not symmetric about the y-axis.

Its domain and range are all real numbers, and it passes through the origin.

3 0
3 years ago
PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher
lana66690 [7]

Answer:

a) n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83  

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724  

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Part a

The estimated proportion for this case is \hat p =0.76

Our interval is at 90% of confidence, and the significance level is given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. The critical values for this case are:

z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The margin of error desired is given ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Replacing we got:

n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83  

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724  

And rounded up we have that n=6724

3 0
3 years ago
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

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\frac{2t}{3}=32

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

So 48 minutes it took to complete the race.

4 0
2 years ago
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Arisa [49]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Pavlova-9 [17]

Let us use the formula with the point (4,5) and (0,2)

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8 0
9 months ago
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