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Dafna11 [192]
3 years ago
8

Vocabulary A ______________ is a set of equations that have the same variables.

Mathematics
2 answers:
atroni [7]3 years ago
8 0
System of equations to be solved simultaneously
Lady_Fox [76]3 years ago
4 0
Hey there!
The correct answer to this question is:
"A system is a set of equations that have the same variable."
If you've ever seen a system, they look a lot like this:
x + y = 12
x - y = 13
As you can see, they both have the same variables, x, and y. They are a set of equations with different methods of solving, and generate an answer in the form of coordinates.
Hope this helps!
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Which expressions are polynomials?
Natasha2012 [34]
1st, 2nd,& 4th. If the variable is in the root or in the denominator / have a negative power, then it is not a polynomial. The 3rd one has the root of y, so it isnt a polynomial.
8 0
3 years ago
Find the distance across the pond I’M MAKJNG THIS 15 POINTS
Vesnalui [34]

Answer:

Step-by-step explanation:

X/25=16/x

Cross multiply to get

X^2=square root 400

Un square to get 20

It’s 20 meters

4 0
3 years ago
on her quiz in social studies meg awnsered 92 % of the questions correctly . On her second quiz she awnsered 27 out of 30 questi
Mandarinka [93]
First quiz in social studies as in the second one it was only 90%
4 0
4 years ago
If a hurricane was headed your way, would you evacuate? The headline of a press release issued January 21, 2009 by the survey re
Nikolay [14]

Answer:

The 98% confidence interval for population proportion of people who refuse evacuation is {0.30, 0.33].

Step-by-step explanation:

The sample drawn is of size, <em>n</em> = 5046.

As the sample size is large, i.e. <em>n</em> > 30, according to the Central limit theorem the sampling distribution of sample proportion will be normally distributed with mean \hat p and standard deviation \sqrt{\frac{\hat p (1-\hat p)}{n} }.

The mean is: \hat p=0.31

The confidence level (CL) = 98%

The confidence interval for single proportion is:

CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]

Here z_{(\alpha /2)} = critical value and <em>α </em>= significance level.

Compute the value of <em>α</em> as follows:

\alpha =1-CL\\=1-0.98\\=0.02

For <em>α</em> = 0.02 the critical value can be computed from the <em>z</em> table.

Then the value of z_{(\alpha /2)} is ± 2.33.

The 98% confidence interval for population proportion is:

CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]\\=[0.31-2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} },\ 0.31+2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} } ]\\=[0.31-0.0152,\ 0.31+0.0152]\\=[0.2948,0.3252]\\\approx[0.30,\ 0.33]

Thus, the 98% confidence interval [0.30, 0.33] implies that there is a 0.98 probability that the population proportion of people who refuse evacuation is between 0.30 and 0.33.  

7 0
3 years ago
Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1095, \pi = \frac{478}{1095} = 0.4365

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

5 0
3 years ago
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