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grandymaker [24]
3 years ago
10

Approximately 325,563 babies were born in Texas in 1991. What was the average number of births each week?

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0

Since there are 52 weeks in a year, do 325,563 divided by 52 which is 6,260.826923076923 babies per week

This can round to 6260 babies per week since if you round up, your making up nonexistent babies

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Evaluate n/6 plus 2 when n=2
harina [27]

Step-by-step explanation:

n/6+2=0

n/6+2/1=0

find the LCM=6

n+12/6=0

cross multiply

n+12=0

n=-12

5 0
3 years ago
The diameter of a circle is 7 cm. Find the circumference to the nearest tenth
Anton [14]

Answer:38.5 cm

Step-by-step explanation:To find the radius divide 7 by 2 which is 3.52. Then multiply 3.5 by itself which is 12.253.

3 0
2 years ago
In a recent poll, 778 adults were asked to identify their favorite seat when they fly, and 492 of them chose a window seat. Use
seropon [69]

Answer:

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

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

p_v =P(Z>7.36)=9.19x10^{-14}  

Since the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of adults prefer window seats when they fly is significantly higher than 0.5 .  

Step-by-step explanation:

1) Data given and notation

n=778 represent the random sample taken

X=492 represent the people that chose a window seat.

\hat p=\frac{492}{778}=0.632 estimated proportion of people that chose a window seat.

p_o=0.5 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the majority of adults prefer window seats when they fly:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

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)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

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

z=\frac{0.632 -0.5}{\sqrt{\frac{0.5(1-0.5)}{778}}}=7.36  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>7.36)=9.19x10^{-14}  

5) Conclusion

Since the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of adults prefer window seats when they fly is significantly higher than 0.5 .  

6 0
3 years ago
Solve this equation<br>-2(4-7)+5(4+7)​
gayaneshka [121]

You can simplify this expression with PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction)

Start with the expressions in the parentheses:

4-7=-3

4+7=11

The expression now reads -2(-3)+5(11).  Now, simplify the multiplication expressions:

-2*-3=6

5*11=55

The expression is 6+55 which is 61.

Hope this helps!!

6 0
3 years ago
Distribute 7 x (2+2x)
True [87]
28 x because parenthesis first and you can’t do 2 + 2x so 7x times 2 is 14x and 7 times 2x is 14x
4 0
3 years ago
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