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cupoosta [38]
4 years ago
12

What is the integral of 1/(y²-1)

Mathematics
1 answer:
ANTONII [103]4 years ago
3 0
Hello here is a solution : 

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The flower shop sold roses and tulips. The number of roses sold was 5 less than twice the number of tulips sold. If the shop sol
LenaWriter [7]

Answer: the number of roses sold is 69 while number of tulips is 37

Step-by-step explanation:

Let x represent the number of roses that the flower shop sold.

Let y represent the number of tulips that the flower shop sold.

The number of roses sold was 5 less than twice the number of tulips sold. This means that

x = 2y - 5 - - -- -- - - - - - ;1

If the shop sold 106 flowers in total, it means that

x + y = 106

Substituting x = 106 - y into equation 1, it becomes

106 - y = 2y - 5

3y = 106 + 5 = 111

y = 111/3 = 37

x = 106 - y = 106 - 37

x = 69

7 0
3 years ago
There are 1,500 students in a school. 65% are girls. How many girls are there in the school?
Reil [10]
1500 x 0.65= Number of girls
=975
3 0
3 years ago
Read 2 more answers
The length of a bridge is 190 m. The length of each of Robert's paces is 80 cm.
ohaa [14]

Answer:

Step-by-step explanation:

Length of the bridge = 190 m = 190*100 = 19000 cm    {100cm = 1m}

Length of each pace of Robert = 80 cm

Minimum number of full paces = 19000/80

=  237.5

= 238   {because full paces}

5 0
3 years ago
Read 2 more answers
Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably
USPshnik [31]

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

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

After replace we got:

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

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0
3 years ago
Which expression is equivalent to 16a -18b + 20a
lisov135 [29]
B) (16 + 20)a - 18b

16a and 20a are both positive and 18b is the only negative it’s easier to add the positive with each other then the negative and a positive then add other positive
3 0
3 years ago
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