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JulijaS [17]
3 years ago
11

Among 31​- to 36​-year-olds, 28​% say they have written an editorial letter while under the influence of alcohol. Suppose six 31

​- to 36​-year-olds are selected at random. What is the probability that none of the six have written an editorial letter while under the influence of alcohol​?
Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0
Ok so I think I don’t know but I’m gonna guess ccccccccc
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Solve system by graphing 2x-6y=12 x+y=2
astraxan [27]
First get y by its self , then graph , find intersection point and plug in x and y to both equations, see if it makes sense , then the solution must be you intersection point

5 0
3 years ago
A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei
Arte-miy333 [17]

Answer:

<em>Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom</em>

<em>The null hypothesis is accepted . </em>

<em>Assume the population variances are approximately the same</em>

<u><em>Step-by-step explanation:</em></u>

<u>Explanation</u>:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

<em>The first sample size  'n₁'= 20</em>

<em>mean of the first sample 'x₁⁻'= 17.53 pounds</em>

<em>standard deviation of first sample  S₁ = 3.2 pounds</em>

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

<em>The second sample size  n₂ = 24</em>

<em>mean of the second sample  "x₂⁻"= 14.89 pounds</em>

<em>standard deviation of second sample  S₂ =  2.7 poun</em>ds

<u><em>Null hypothesis</em></u><u>:-</u><u><em>H₀</em></u><em>: The Population Variance are approximately same</em>

<u><em>Alternatively hypothesis</em></u><em>: H₁:The Population Variance are approximately same</em>

<em>Level of significance ∝ =0.05</em>

<em>Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42</em>

<em>Test statistic :-</em>

<em>    </em>t = \frac{x^{-} _{1} -  x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} }  }

<em>    where         </em>S^{2}   = \frac{n_{1} S_{1} ^{2}+n_{2}S_{2} ^{2}   }{n_{1} +n_{2} -2}

                      S^{2} = \frac{20X(3.2)^2+24X(2.7)^2}{20+24-2}

<em>              substitute values and we get  S² =  40.988</em>

<em>     </em>t= \frac{17.53-14.89 }{\sqrt{40.988(\frac{1}{20} }+\frac{1}{24}  )}<em></em>

<em>  </em>   t =  1.3622

  Calculated value t = 1.3622

Tabulated value 't' =  2.081

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

<u><em>Conclusion</em></u>:-

<em>The null hypothesis is accepted </em>

<em>Assume the population variances are approximately the same.</em>

<em>      </em>

<em>                        </em>

<em>                    </em>

6 0
3 years ago
Whoever helps gets brainlyess answer and it's worth 10 points :)
Anna71 [15]
Since he is using 3x more flower than the original, you would multiply the 2 tsp by 3 as well

6tsp is the answer
7 0
3 years ago
Read 2 more answers
How many 4 digit numbers are there with the sum of the four digits equal to 34
Masteriza [31]

Answer:

Step-by-step explanation:

THE LARGEST 4 DIGIT NUMBER IS 9999 WHICH HAS SUM OF DIGITS 9+9+9+9 =36 SO TO HAVE A SUM OF DIGITS 34 ,WE HAVE TO TAKE 2 AWAY THERE ARE TWO WAYS TO DO THAT IS

1) TAKE 2 AWAY FROM 1 OF THE 9"S AND THE SET OF THE DIGITS (7,9,9,9)

2)TAKE 1 AWAY FROM 2 OF THE 9"S AND THE SET OF DIGITS (8,8,9,9)

THERE ARE 4 ARRANGEMENTS OF THE DIGITS (7,9,9,9) BECAUSE THERE ARE FOUR POSITIONS FOR THE DIGITS THOUSANDS,HUNDREDES,TENS AND UNITS SO WE CAN PICK A P[OSITION FOR THE 7 IN (4,1) = FOUR WAYS ( THERE ARE 7,9,9,9, 9,7,9,9, 9,9,7,9, 9,9,9,7

THERE ARE SIX ARRANGEMENTS OF THE DIGITS (8,8,9,9, BECAUSE THERE ARE FOUR POSITIONF FOR THE DIGITS THOUSANDS , HUNDRED , TENS AND UNITS SO WE CAN PICK A POSITIONS FOR THE 28"S IN (4,2) = 6 WAYS THEY ARE 8,8,9,9, 8,9,8,9, 8,9,9,8, SO THAT 4+6 OR 10 WAYS

3 0
4 years ago
Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.
Levart [38]

Answer:

The standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Step-by-step explanation:

We know that:

4p\left(y-k\right)=\left(x-h\right)^2 is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

x^2\:+\:10x\:+\:6y\:=\:47

Rewriting the equation in the standard form

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

where

vertex (h, k) = (-5, 12)

7 0
3 years ago
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