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Mumz [18]
3 years ago
7

Find the center and the radius of the circle with the equation: x^2 - 2x + y^2 + 4y + 1 = 0

Mathematics
2 answers:
Stells [14]3 years ago
7 0
What are the ^ supposed to mean multiplecation?
anygoal [31]3 years ago
7 0

Answer:

center:  (1, -2)

radius:  2

You might be interested in
Canada has a population of 1/10 as large as the United States and Canada population is about 32 million about how many people li
Jlenok [28]

Answer:

Step-by-step explanation: If Canada(C) is 32,000,000 and America is A and C x 10 = A then 32,000,000 x 10 = A

And to multiply any whole number by 10 you just add a zero to the end so

320,000,000  is the answer which is pronounced "Three hundred twenty million" And there is 7 zeros in the answer

hope this helps mark me brainliest

6 0
3 years ago
A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5​% of newborn babies a
Molodets [167]

Answer:

A

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

z = -0.257

P value = P(Z<-0.257) = 0.797

Decision; we fail to reject the null hypothesis. That is, the results support the belief that 51.5​% of newborn babies are​ boys

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

Given;

n=850 represent the random sample taken

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 850

po = Null hypothesized value = 0.515

p^ = Observed proportion = 434/850 = 0.5106

Substituting the values we have

z = (0.5106-0.515)/√(0.515(1-0.515)/850)

z = −0.256677

z = −0.257

To determine the p value (test statistic) at 0.10 significance level, using a two tailed hypothesis.

P value = P(Z<-0.257) = 0.797

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = -0.257) which falls with the region bounded by Z at 0.10 significance level. And also the one-tailed hypothesis P-value is 0.797 which is greater than 0.10. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 10% significance level the null hypothesis is valid.

5 0
3 years ago
Find the area of each shaded sector. Round to the hundredths place.
kati45 [8]

Answer:

200

Step-by-step explanation:vbc i know

3 0
3 years ago
5 divide 3/4 and simply
Aloiza [94]
6 and 2/3 is your answer
5 0
3 years ago
Read 2 more answers
Simplify 5(x - 6).<br> 5x - 6<br> 0 5x - 30
Lesechka [4]

Answer:

It depends on what property you use

Step-by-step explanation:

If you use the distributive property then you would get 5x-30

If you factor you would get 5(x-6)

4 0
3 years ago
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