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Gekata [30.6K]
3 years ago
6

. Which Statement Is True??

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0
C bc it’s greater that the original
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The diameter of holes for a cable harness is known to have a normal distribution with σ = 0.01 inches. A random sample of size 1
Rama09 [41]

Answer: (1.4964, 1.5126)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :-

\overline{x}\ \pm z*\dfrac{\sigma}{\sqrt{n}}

, where {\sigma= population standard deviation.

n= sample size

\overline{x} = Sample mean

As per given , we have

σ = 0.01 inches

n= 10

\overline{x}=1.5045

Also, the critical value for 99% confidence interval = z*=2.576 [From x-value table.]

[Significance level =1-0.99=0.01 and z_{\alpha/2}\ at\ \alpha=0.01 is 2.576.]

Then, the 99% two-sided confidence interval on the mean hole diameter will be :-

1.5045\ \pm (2.576)\dfrac{0.01}{\sqrt{10}}\\\\\approx1.5045\pm(2.576)(0.00316)=1.5045\pm0.00814016=(1.5045-0.00814016,\ 1.5045+0.00814016)\\\\=(1.49635984,\ 1.51264016)\approx(1.4964,\ 1.5126)

Hence, the required confidence interval = (1.4964, 1.5126)

8 0
3 years ago
I NEED MATH HELP, QUICK! PLEASE HELP ME!<br><br><br> Find f( -7) if f(x) = 3 - 2x.
goldenfox [79]
Plug in -7 for x in the equation...

f(x)  =  3 - 2( - 7 )

f(x)  =  3 + 14 

f(x) = 17
6 0
3 years ago
Solve the system by the substitution method. Show your work.<br> 2y - x = 5<br> x^2 + y^2 - 25 = 0
Elza [17]
2y - x = 5
x^2 + y^2 - 25 = 0

x = 2y - 5

(2y-5)^2 + y^2 - 25 = 0
(2y-5)(2y-5) + y^2 - 25 = 0
4y^2 - 20y + 25 + y^2 - 25 = 0
5y^2 - 20y = 0
y = 0 , y = 4

x = 2y - 5 , when y = 0
x = - 5

x = 2y - 5 , when y = 4
x = 8 - 5
x = 3
6 0
3 years ago
canstanza has 13 blue envelopes she has 3 fewer yellow envelopes then blue envelopes she has 7 times as many green envelopes as
zavuch27 [327]

She has 93 envelopes in all


8 0
3 years ago
Read 2 more answers
2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.
inna [77]

The polynomial equation for the given roots is x³-7x²+20x-24=0.

Given that, the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i.

Now, we need to write the polynomial equation.

<h3>What is a polynomial equation? </h3>

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation. For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

Now, x=3, x=2+2i and x=2-2i

x-3, x-2-2i and x-2+2i

So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0

⇒(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0

⇒(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0

⇒(x-3)(x²-2x-2x+4-4i²)=0

⇒(x-3)(x²-4x+4+4)=0 (∵i²=-1)

⇒(x-3)(x²-4x+8)=0

⇒x(x²-4x+8)-3(x²-4x+8)=0

⇒x³-4x²+8x-3x²+12x-24=0

⇒x³-7x²+20x-24=0

Therefore, the polynomial equation for the given roots is x³-7x²+20x-24=0.

To learn more about the polynomial equation visit:

brainly.com/question/20630027.

#SPJ1

3 0
1 year ago
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