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lyudmila [28]
3 years ago
13

HHHHHHHHHHHHHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPP 30 POINTS

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Answer:

7.28 units

Step-by-step explanation:

Using the Pythagorean theorem, a^{2} + b^{2} = c^{2}, we get:

2^{2}+7^{2}=c^{2}\\4+49=c^{2}\\53=c^2\\\sqrt{53}=c\\c=\sqrt{53}

\sqrt{53} ≈ 7.28

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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Evgen [1.6K]

Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

p=X/n=370/559=0.6619

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02

The critical z-value for a 90% confidence interval is z=1.6449.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948

The 90% confidence interval for the population proportion is (0.6290, 0.6948).

3 0
3 years ago
The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie?
Virty [35]
If they have opposite signs the point can be in either the second or fourth quadrants.

-x and +y is in the second quadrant

+x and -y is in the fourth quadrant.
3 0
4 years ago
Read 2 more answers
Finding an Equation of a Tangent Line In Exercise, use implicit differentiation to find an equation of the tangent line to the g
timofeeve [1]

Answer:

Equation of tangent line at point (1,0) to given function is

y=x-1

Step-by-step explanation:

Equation of tangent line is

                                   y-y₁=m(x-x₁)-----(1)

where m is slope of line and can be found by implicitly differentiating the given function w.r.to x

x+y-1=ln(x^{2}+y^{2})\\\\\frac{d}{dx}(x+y-1)=\frac{d}{dx}(ln(x^{2}+y^{2})\\\\1+\frac{dy}{dx}=\frac{2x}{x^{2}+y^{2}}+\frac{2y}{x^{2}+y^{2}}\frac{dy}{dx}\\\\\frac{dy}{dx}=\frac{2x-x^{2}-y^{2}}{x^{2}+y^{2}-2y}\\\\at \,(1,0)\\\\\frac{dy}{dx}=\frac{2(1)-1-0}{1+0-0}\\\\\frac{dy}{dx}=1\\\\

which is slope of tangent line. At (1,0) equation of tangent line is

                            y-0=1(x-1)\\\\y=x-1

8 0
4 years ago
Plz help me it worth 50% of my grade tell wethere it’s proportional of not
Julli [10]

Answer:

2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.

Step-by-step explanation:

Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.

Number 3 does not go through the origin, so number 3 is also not proportional.

Number 5 is proportional since when you divide y by x, it is always 7.

Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.

5 0
3 years ago
I dont know what To Put here srry There is a question here it pic
ddd [48]

Answer:

:)

Step-by-step explanation:

Relative frequency of diamond :

                                             = \frac{16}{52} = \frac{4}{13} = 0.307

4 0
3 years ago
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