Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 49 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased

Answer:

75%

Step-by-step explanation:

18 divided by 24 equals .75 and that equals 75 as a percent.

Answer:

18 days.

Step-by-step explanation:

Takes 6 days to eat 1 apple so multiply 6 by three to get your answer.

Answer:

18 days

Step-by-step explanation:

since the ratio is 3 days to 1/2 that would mean 6 days is to 1 apple, so if you just multiply 6 days by 3 you would get 18 days because you would need to find how many days for 3 apples.

Answer:

11.92 Ounces.

Answer:

The following statements are true.

A rhombus is a parallelogram with equal sides. In a parallelogram, opposite sides are equal.

The area of a rhombus is found using the formula A = b × h. b and h represents the base and height of the rhombus respectively.

The area is found the same way for both a rhombus and a parallelogram. The formula, area = base × height can be used for both rhombus and parallelogram.

Step-by-step explanation:

I'm not an ace nor a genius but here are the correct answers (again)..

Answer:

wx-x=d

wx = d + x

x = d/w + x/w

Step-by-step explanation:

Answer:

x = d/(w-1)

Step-by-step explanation:

factor out 'x' as first step:

x(w - 1) = d

now divide by w-1:

x = d/(w-1)

Answer:

12

Step-by-step explanation:

2x + 51 = 6x +3

48 = 4x

x = 12

Answer:

Step-by-step explanation:

5

Here is your answer!!

Answer:

[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]

Step-by-step explanation:

[tex](2a+3b)^{2}[/tex]

[tex]= (2a + 3b) (2a + 3b)[/tex]

[tex]= 4a^{2} + 6ab + 6ab + 9b^{2}[/tex]

[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]

Answer:

least to greatest is how number appear on a number line. numbers less than 0 or indicated with a negative number. if the number is greater than 0 it's indicated without the negative as the plus is implied.

-11, -5, -2 ,4 , 7

Answer:

C is the Correct answer and luck on the massive grade

13.76

Divide 27.52 by 2 to get 13.76

Answer:

12 soccer players and 21 baseball players

Step-by-step explanation:

Multiply each ratio by the same number

4x3=12 7x3=21

Answer:

A. (0,0) and (-4, 0)

Step-by-step explanation:

f (2) = 12 (2 + 4)

f (x) = 12 (x + 4)

x + 4 = 0

x =  -4

12 = (0,0)

The 12 is on the outside and is multiplied to x + 4 so the 12 is considered a zero.

(0, 0) and (-4,0)

Step-by-step explanation:

Area of this pi r²/2

3.142*324/2=3.142*162=509,004

Answer:

56.556

Step-by-step explanation:

In order to find the areaof a cirlcle the equation is pi(r^2)

radius is half of a diameter so i did 18 divided by 2 =6

3.142(6^2)=113.112

but since its only half a cirle i divided my answer by 2 in order to get 56.556

Answer: the answer is 3

Step-by-step explanation: The gradient (or slope) of the tangent to a curve at any particular point is given by the derivative at that point If y = x 3 then d y d x = 3 x 2 When x = 1 ⇒ d y d x = 3 So the slope equals 3

The slope of the tangent line to the graph of each equation at x = 1. y = 3x will be 3.

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The slope is found by the relation;

[tex]\rm m = \frac{dy}{dx} \\\\ m= \frac{d(3x)}{dx} \\\\ m=3[/tex]

Hence,the slope of the tangent line to the graph of each equation at x = 1. y = 3x will be 3.

To learn more about the slope, refer to the link;

https://brainly.com/question/3605446

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Answer:

D. 286.5 in.^2

Step-by-step explanation:

3 X 7.5+ 3 X 11.5 + 3 X 7.5+ 11.5 X 3 + 7.5 X 11.5 + 7.5 X 11.5=

22.5 + 34.5 + 22.5 + 34.5 + 86.25 + 86.25=

total surface area= 286.5 in.^2

Answer:

number 2 - x=50, y =69

Step-by-step explanation:

Angles in a polygon of a pentagon add up to 540

so 180 +125+98+98 = 429

540 - 429 = 111

now you do x = 50 so

2 times 50 which is 100

then plus 11 which is 111

Answer: y=3x

Step-by-step explanation:

2x3=6

3x3=9

5x5=15

6x3=18

Answer: $90

Step-by-step explanation:

To find 60% of 150, you can simply use this equation, 60 X 150 divided by 100. That will leave you with 90, which is the amount he paid for the shoes. :)

Answer:

$60.00

Step-by-step explanation:

100 - 60 = 40% (Percentage after discount)

100% = 150

1% = 150 ÷ 100 = 1.5

40% = 1.5 x 40 = $60

Answer:

n(A) = 5

Step-by-step explanation:

The cardinality of a set is the total number of elements in the set

Given the set

A = {a,e,i,o,u}

The total number of letters we have in the set is 5 i.e. a, e, i ,o and u. Hence the cardinality of the set A is 5. This can also be written as n(A) = 5

Answer:

Step-by-step explanation:

2x11=22

3(3+x)

22=9x+3x

Subtract nine

13=3x

Multiply 13 by 3=13/3

Convert to decimal

Answer is:4.3

Answer:

The width of the  court is 30 feet.

Step-by-step explanation:

1800 = 60 x width

width = 1800/60 = 30

Answer:

x = P/2m

Step-by-step explanation:

x is the subject of the formula, and we can express it as: x = P / (2m)

To make x the subject in the formula P = 2mx, we can rearrange the equation to isolate x on one side.

Starting with the equation:

P = 2mx

To solve for x, divide both sides of the equation by 2m:

P / (2m) = (2mx) / (2m)

This simplifies to:

P / (2m) = x

Therefore, x is the subject of the formula, and we can express it as:

x = P / (2m)

Learn more about equation at https://brainly.com/question/29174899

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Answer:

Sarah ate 2, atil ate 2

Step-by-step explanation:

The total number of cookie Sara got = y

Atill got 2 more than Sara so his total cookies is = 2+y

Sarah ate half if hers = y/2

Atil ate 1/3 of his = 2+y/3

We have

Y/2 = 2+y/3

Then we cross multiply

3y = 2(2+y)

3y = 4 + 2y

3y - 2y = 4

Y = 4

Since y = 4,

Sara ate 4/2 cookies = 2

Then atil ate 2+4/3 = 6/3 = 2 cookies

Answer:

y = x/3 - 5

Step-by-step explanation:

Answer:

y = (1/3)x  - 5 .

Step-by-step explanation:

(-6 , -7) ; (3 ,-4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]

m = 1/3   ; (3,-4)

y - y1 = m(x - x1)

[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]

Solution :

It is given that we have a null and an alternative hypothesis. The hypothesis are :

[tex]$H_0: \mu = 240,000$[/tex]

[tex]$H_a : \mu < 240,000$[/tex]

We have to find if the cost of average home has decreased or not in this month.

So it is given that the test statics is -1.79, so the p value associated with the test statics is less than ( α ) 0.01

Therefore, we can conclude that the cost of the average house is less than $ 240,000.

Step-by-step explanation:

we have p=proportion of vegetarian students=0.08

a. FALSE.

for normal approximations we must have np>=5 and n(1-p)>=5

here n=60 so np=60*0.08=4.8 which is less than 5.

hence normal approximation is not applicable.

b. TRUE.

for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p

here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c. FALSE.

here, n=125 which is quite large. hence normal approximation is applicable.

let phat be the sample proportion

then phat approximately follows a normal distribution with E[phat]=p=0.08

and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888

hence standard deviation=sqrt(0.0005888)=0.0242652

hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]

12%=0.12 lies in this effective range.

hence it is not unusual.

In this exercise we have to classify whether the statements are true or false:

a) False

b) True

c) False

d) False

e) False

We have: [tex]p=proportion of vegetarian students=0.08[/tex]

a) FALSE.  

For normal approximations we must have:

[tex]np\geq 5 \\n(1-p)\geq 5[/tex]

Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex]  which is less than 5. Hence normal approximation is not applicable.

b)TRUE.

For binomial proportion , the distribution is right skewed if :

[tex]1-2p>0 \\ 0.5>p[/tex]

Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c) FALSE.

Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:

[tex]E[phat]=p=0.08[/tex]

and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]

Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]

hence effective range of phat is:

[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]

12%=0.12 lies in this effective range. Hence it is not unusual.

d) FALSE.

e) FALSE.

See more about proportion at : brainly.com/question/8704765

Answer:

1) x=5

2) x=7

3) x=8

4) x=4

5) x=7

6) x=8

Step-by-step explanation:

Since each pair is similar, their sides are in ratio:

1)

(2x+2)/6=18/9

2x+2=2*6

2x=12-2

x=10/2

x=5

2)

(x-2)/4=10/8

x-2=1.25*4

x=5+2

x=7

3)

(3x-6)/12=24/16

3x-6=1.5*12

3x=18+6

x=24/3

x=8

4)

(2x+4)/15=16/20

2x+4=0.8*15

2x=12-4

x=8/2

x=4

5)

(x+2)/15=6/10

x+2=0.6*15

x=9-2

x=7

6)

(-3+x)/6=10/12

-3+x=6*(10/12)

x=5+3

x=8