Decide whether the statement is true or false.
{2, 15, 6} U Ø = {2. 15, 6)​

Answer:

The correct options are a and c.

Step-by-step explanation:

Confidence interval:

A confidence interval is given by the sample proportion plus/minus the margin of error. This means that the confidence interval is symmetric, that is, the difference between the upper bound and the sample proportion has to be the same as the difference between the sample proportion and the lower bound.

Sample proportion is 0.55

So options for the confidence interval are:

Lower bound - upper bound

0.54 - 0.56

0.53 - 0.57(which means that option b is wrong)

0.52 - 0.58(which means that option c is right)

...

0.5 - 0.6(which means that option a is right).

The correct options are a and c.

The confidence interval is the range of value between which the true population proportion would lie given a certain margin of error. Hence the correct options are A and C

Hence, the upper and lower boundary would the same error value above and below the mean proportion.

Evaluating the options given :

Error below = 0.50 - 0.55 = -0.05

Error above = 0.60 - 0.55 = 0.05

Error below = 0.53 - 0.55 = -0.02

Error above = 0.59 - 0.55 = 0.04

Error below = 0.52 - 0.55 = -0.03

Error above = 0.58 - 0.55 = 0.03

Error below = 0.60 - 0.55 = 0.05

Error above = 0.70 - 0.55 = 0.15

Error below = 0.45 - 0.55 = -0.10

Error above = 0.60 - 0.55 = 0.05

Therefore, the only options with equal margin of error, above and below the mean are options A and C.

Learn more : https://brainly.com/question/15111061

Answer:

Hamburgers + Cheeseburgers= 390

Hamburgers= x

Cheeseburgers= 2x

2x+x= 390

3x=390

x=130

Hamburgers sold= 130

Answer:

D.7

Step-by-step explanation:

[tex] 4 - ( - 3) = 4 + 3(because \: - \times - ) \: it \: is \: positive \\ = 7[/tex]

Answer:

16 km is the answer

Step-by-step explanation:

a (Colton to parents' house) = 12 km

b = ?

c (parents' house to grandparents' house) = 20 km

According to the Pythagoras theorem,

a² + b² = c²

12² + b² = 20²

144 + b² = 400

b² = 400 - 144

b² = 256

b = 16

∴ Colton is 16 km away from his grandparents' house.

Answer:

√11 = 3.31....

option 1. Irrational: √11 = 3.3

Answer:

Irrational [tex]\sqrt{11}[/tex] = 3.3

Step-by-step explanation:

Have a nice day!! :)

Answer:

m<RTS=63

m<PTQ=27

Step-by-step explanation:

8x-17=5x+13

x=10

5(10)+13=63

8(10)-17=63

<RTQ=<UTQ

90-63=27

Answer:

Step-by-step explanation:

[tex]\frac{x}{42}=tan 30=\frac{1}{\sqrt{3} }\\x=\frac{42}{\sqrt{3} } \times \frac{\sqrt{3}}{\sqrt{3}} =14\sqrt{3} \\\frac{42}{y} =\cos ~30=\frac{\sqrt{3}}{2} \\y=\frac{84}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} =\frac{84 \sqrt{3}}{3} =28 {\sqrt{3}}[/tex]

Answer:

Table A

[tex]y = 1.5x + 4 \\ table \: A \: satisfies \: the \: equation[/tex]

Answer:

158.4 i think

Step-by-step explanation:

Answer:

200G

Step-by-step explanation:

Answer:

The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.

Step-by-step explanation:

The company's promotional literature states that 47% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage.

This means that at the null hypothesis we test that the proportion is 47% = 0.47, that is:

[tex]H_0: p = 0.47[/tex]

And at the alternate hypothesis, we test that the proportion is different from 47%, that is:

[tex]H_a: p \neq 0.47[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

47% is tested at the null hypothesis:

This means that [tex]\mu = 0.47, \sigma = \sqrt{0.47*0.53}[/tex]

A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use.

This means that [tex]n = 1300, X = 0.5[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.5 - 0.47}{\frac{\sqrt{0.47*0.53}}{\sqrt{1300}}}[/tex]

[tex]z = 2.17[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability that the proportion differs from 0.47 by at least 0.5 - 0.47 = 0.03, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of Z = -2.17

Z = -2.17 has a pvalue of 0.015

2*0.015 = 0.03

The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.

Answer:

The critical value that should be used is T = 2.0796.

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0796, which is the critical value that should be used.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0796\frac{15.49}{\sqrt{22}} = 6.868[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912

The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

Answer: I think it is T,F,T,T hope this helped

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Step-by-step explanation:

Answer:

sample

Step-by-step explanation:

Answer:

x would be 10.

It is congruent since two sides are given to be congruent. This can be proven with the SSS Congruence Postulate.

Answer:

the answer is negative 22

Step-by-step explanation:

-2 x 11 = -22

Answer:

The distance to horizon is 25.64 miles for the parasail.

Step-by-step explanation:

The distance to horizon for a given height is given as

[tex]d=\sqrt{2hR}[/tex]

Here

So the distance becomes

[tex]d=\sqrt{2hR}\\d=\sqrt{2\times 0.083\times 3959}\\d=\sqrt{657.194}\\d=25.6357 \text{ miles}\\d=25.64\text{ miles}[/tex]

So the distance to horizon is 25.64 miles for the parasail.

Answer: width is 12, length is 16

Step-by-step explanation:

A= l*w

l=w+4

A=w(w+4)

[tex]A=192\\192=w^{2} +4w\\0=w^{2} +4w-192[/tex]

factor

(w+16)(w-12)

w= -16 or w=12

width is 12, length is 16

Answer:

Step-by-step explanation:

Both of the graphs include infinite number of points.

The solution is the common point that belongs to both of the graphs, their intersection, which is the point (1, 5)

This is the point when the temperature change is positive 1 degree.  At this point number of visitors is equal to number of those leaving the part early (5 visitors).

Answer:

(1,5)

Step-by-step explanation:

The graphs intersect at (1,5). At this point, the temperature change is 1 degree and the number of visitors is equal to those leaving early, which is 5 visitors.

height of movable brigde 37cm

width of movable brigde 85 cm

Answer:

Step-by-step explanation:

It is 4:9   and 4.5:2

Answer:

x = -6; the number is -6!

Step-by-step explanation:

This is a somewhat wordy question, but it is actually easy to solve once you write it down!

It should look like this:

[tex]5x-2=7x+10[/tex]

See? It's simple! Now we just solve from there.

[tex]5x-2=7x+10\\-2x-2=10\\-2x=12\\x=-6[/tex]

Have a nice day fam! Spread the love <3

Answer:

Domain:  

(

5

,

∞

)

,

{

x

|

x

>

5

}

Range:  

(

−

∞

,

∞

)

,

{

y

|

y

∈

R

}

Step-by-step explanation:

Answer:

A. Quartic

Step-by-step explanation:

I went to desmos graphing,

8x^2+1/9 (plug it in and looked at the line)

It shows a parabola,

y-intercept: (0,0.111)

"Cubic functions. Three points not in a line determine a parabola, a polynomial function of degree 2. Polynomials of degree 2 are quadratic functions. Their graphs are parabolas."

Therefore, this is a quadratic ( quartic) since the degree in this parabola is 2.

Answer:

-4 + 6°

Step-by-step explanation:

- (8 - 12) + 6° + (- 4)2 = - ( - 4) + 6° - 8 = 4 + 6° - 8 = - 4 + 6°

Answer:

if you have the value of x then y =x +7

Answer:

D. - 1/4

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

0.375=3/8 0.625=5/8

7x-0.375=6x-0.625

1x=-0.25

-0.25=-1/4

Answer:

The correct answer would be [tex]a=\sqrt{c^2-b^2}[/tex]

Step-by-step explanation:

given [tex]a^2+b^2=c^2[/tex] we want to solve for a

How?

We can do this by using basic algebra ( isolating the variable (a ))

Step 1 subtract [tex]b^2[/tex] from each side

[tex]a^2+b^2-b^2=a^2\\c^2-b^2=c^2-b^2[/tex]

now we have [tex]a^2=c^2-b^2[/tex]

step 2 take the square root of each side

[tex]\sqrt{a^2} =a\\\sqrt{c^2-b^2} =\sqrt{c^2-b^2}[/tex]

we're left with [tex]a=\sqrt{c^2-b^2}[/tex]

Hence your answer is A

Answer:

1) 7.22 ft in a hr & 2) Choice C.  y = 0.50x + 2

Step-by-step explanation:

1) Space shuttle

2.6 x 10,000 = 26,000ft

3.6 x 1,000 = 3,600 seconds = 1 hr

26,000/3,600 = 7.22 ft in a hr

2) Taxi company

y = 0.50x + 2

Answer:

X+2

Step-by-step explanation: