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3 years ago

PLEASE HURRY THIS TIMED !!!

Mathematics

1 answer:

Sever21 [200]3 years ago

5 0

Answer:

For required percentage of the bags will have weights within 3 standard deviations of the mean will in 99.7 %

Step-by-step explanation:

Given:

The 2 -pound bags is normally distributed with help of Empirical Rule.

To Find:

what percentage of the bags will have weights within 3 standard deviations of the mean

Solution:

The weight of 2 pounds of bags are normally distributed.

Hence the curve will have two tailed hypothesis with normal distributed curve.

<em>So Using Empirical Rule which state the following :</em>

For normal distributed mean and S.D. it has three parts as follows:

1) 68% of data falls within the first S.D. from the mean.

2)95% falls within 2nd S.D.

3)99.7 % falls within 3rd S.D.

we have to calculate for the 3rd S.D.

Hence the data will falls 3rd S.D. will be 99.7%

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Find the amount of sap the maple syrup producer collected from each tree if the total amount (5 gallons) was redistributed equal

Afina-wow [57]

The picture in the attached figure

we know that
total amount of sap =[3*(1/4)+2*(3/8)+4*(5/8)+1*(1)]
total amount of sap =[(3/4)+(6/8)+(20/8)+(1)]
total amount of sap =[(3/4)+(3/4)+(10/4)+(4/4)]
total amount of sap =[20/4]
total amount of sap =5 gallons
total of trees=10

<span>[amount of sap collected from each tree]=total amount of sap/total of trees
</span>
[amount of sap collected from each tree]=5/10----> 0.5 gallons per tree

the answer is
0.5 gallons

7 0

3 years ago

Read 2 more answers

Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

telo118 [61]

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is $5y + 4 =(x+3)^{2} + \frac{1}{2}$

Therefore we can write $5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4 \hspace{0.3cm} \Rightarrow \hspace{0.2cm} 5y = (x+3)^{2} - \frac{7}{2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} y = \frac{(x+3)^{2}}{5} - \frac{7}{10}$

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

$x = \frac{(y+3)^{2}}{5} - \frac{7}{10}$

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

$y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm} y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}$

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , $y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}$

8 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 4(x+1) + 7(x+3)? Select two answers.

Natalija [7]

Answer:

9(x+3) + 2(x+3) or 10(x+2) +(x+5)

Step-by-step explanation:

First you want to distribute the equation.

4(x+1) + 7(x+3) multiplied out is

4x + 4 + 7x + 21

Now we add like terms so it comes out to

11x + 25

Two expressions that can come out to equal 11x + 25 is. 9(x+3) + 2(x+3) or 10(x+2) +(x+5)

7 0

3 years ago

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card,

Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red and 6 blue cards. Then the event of of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

It cannot be this option because we need 4 blue card

b. B AND O

It cannot be this choice as well because 4 is not odd.

c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′ = It will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

5 0

3 years ago

Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2

Goryan [66]

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

= 2(x^2 -2x+4x-8)

= 2(x^2 +2x-8)

= 2x^2 +4x-16

5 0

3 years ago