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erik [133]
4 years ago
12

How does the area of a square changes when the side length is tripled

Mathematics
1 answer:
Nesterboy [21]4 years ago
4 0
It becomes 3x bigger
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Determine if the sequence is arithmetic, geometric, or neither: 15, 18, 21, 24,
Vikki [24]

Answer:

arithmitic

Step-by-step explanation:

7 0
3 years ago
Tomas ran a Lucky Dip stall.
oksian1 [2.3K]

Answer:

637

Step-by-step explanation:

Ticket ending 00= £12 * 7 = £84  

Tickets ending 5 = £1.5 * 75 = £112.5  

£84+£112.5=£196.5  

Price money + Profit: £196.5+£163= 356

356/£0.5 = 719 total tickets sold

719- 82 (WINNING TICKETS) = 637 losing tickets sold

3 0
3 years ago
A research group is curious about their city’s participation in flu shot clinics. They suspect that there is a difference betwee
Kipish [7]

Answer:

t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505  

p_v =2*P(t_{40}>0.505)=0.61633  

Comparing the p value with the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.  

Step-by-step explanation:

Data given and notation

\bar X_{1}=162 represent the mean for sample of clinic attendees

\bar X_{2}=156 represent the mean for the sister city  

s_{1}=41 represent the sample standard deviation for 1  

s_{2}=36 represent the sample standard deviation for 2  

n_{1}=22 sample size for the group 2  

n_{2}=20 sample size for the group 2  

\alpha=0.05 Significance level provided

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=22+20-2=40  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

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

t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505  

P value  

Since is a bilateral test the p value would be:  

p_v =2*P(t_{40}>0.505)=0.61633  

Comparing the p value with the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.  

3 0
3 years ago
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a referenc
expeople1 [14]

Answer:

The equation is = I = e^{4.8}

Step-by-step explanation:

As given ,

M - magnitude of an earthquake

I - intensity of earthquake

I₀ - intensity of a reference earthquake

The relation between the three is as follows :

M = log(\frac{I}{I0} )

As given -

M = 4.8,  I₀ = 1

⇒ 4.8 = log(\frac{I}{1}) = log(I)

⇒ 4.8 = log(I)

⇒I = e^{4.8}

So, the equation becomes I = e^{4.8}

8 0
3 years ago
Read 2 more answers
28 is 50% of what number?
Katyanochek1 [597]

Answer:

its 56

Step-by-step explanation

50% × x = 28 or, 50 100

× x = 28

Multiplying both sides by 100 and dividing both sides by 50,

we have x = 28 ×

100

50

x = 56

If you are using a calculator, simply enter 28×100÷50, which will give you the answer.

4 0
2 years ago
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