A company that manufactures and bottles apple juice uses a machine that automatically fills 32-ounce bottles. There is some variation, however, in the amount of liquid dispensed into the bottles. The amount dispensed has been observed to be approximately normally distributed with mean 32 ounces and standard deviation 1 ounce. Determine the proportion of bottles that will have more than 30 ounces dispensed into them. (Round your answer to four decimal places.)

Answer:

the integer is 5

Step-by-step explanation:

x^2+3(x+1)=43

x^2+3x+3=43

x^2+3x+(9/4)=43-3+(9/4)

(x+(3/2))^2=42 1/4

x+(3/2)=sqrt(42 1/4)

x+(3/2)=6 1/2

x=(6 1/2)-(3/2)

x=5

check:

5^2+3(6)=43

25+18=43

43=43

Answer:

5

Step-by-step explanation:

let positive integer be x

x² + 3(x+1)=43

x²+3x+3-43=0

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x+8) - 5(x+8)=0

(x-5)(x+8)=0

x-5=0 or x+8=0

x=5. or x=-8

but the question says positive integer,

therefore, x=5

Answer:

The vertical intercepts is

(4/3,0) (3,0) (1,0)

The horinzontial intercepts is

(0,72)

Step-by-step explanation:

The vertical or y intercepts will be zeroes of the following factors.

3x+4=0

x-1=0

(x-3)^2=0

We solve for x each time

x=-4/3

x=1

x=3

Part B). We need to find the intercepts by setting the equation equal to zero.

The constant expanded will equal 72.

If x=0,

0y=0

where y is any real number.

So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is

Using the information given, it is found that the linear function is given by:

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

A linear equation, in point-slope formula, is modeled by:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

Parallel to 4x - 2y = 6, which, in standard form is:

[tex]2y = 4x - 6[/tex]

[tex]y = \frac{4}{2}x - \frac{6}{2}[/tex]

[tex]y = 2x - 3[/tex]

Hence, the slope is [tex]m = 3[/tex].

Point [tex]\left(-\frac{2}{3}, 5\right)[/tex], hence, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

To learn more about linear functions in point-slope form, you can take a look at https://brainly.com/question/13967935

Answer:

HH sheikh Zayed road Dubai UAE Tel Aviv university of California Berkeley

Answer:

1 1/10

Step-by-step explanation:

110% = 110/100 = 11/10 = 1 1/10

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

Step-by-step explanation:

[tex]f( x) {}^{ - 1} \\ f(x) = 5x \\ y = 5x \\ x = 5y \\ y = \frac{x}{5} \\ f(x) {}^{ - 1} = \frac{x}{5} [/tex]

Answer:

-5

Step-by-step explanation:

Use the slope triangle I mentioned in a previous question

Answer:

Step-by-step explanation:

Equivalent fractions for 1/4

From this chart, we can observe that the equivalent fractions of 1/4 are: 2/8, 3/12, 4/16,... Two fractions are said to be equivalent if their values (decimal/graphical) are the same. We usually multiply the numerator and denominator of a fraction by the same number to get its equivalent fraction.

Answer:

The answer is >

Step-by-step explanation:

11/2 as a percentage is equal to 550% which is greater than (>) 55%

Answer:

304 and 512

Step-by-step explanation:

Answer: The value of 5/6 is 5 and the value 7/11 is 7.

Step-by-step explanation:

Answer:

*See below*

Step-by-step explanation:

Identify and Explain Error

The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.

Correct Work/Solution

$55 to rent

$0.50 per mile

Let's start by removing $55 from $150 to see how many dollars is left over for gas.

150 - 55 = 95

Then, divide 95 by 0.5

95 ÷ 0.5 = 190

He can drive at least 190 miles.

Share Strategy

Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.

Note:

Hope this helps :)

Have a great day!

Answer:

6 more cupcakes.

Step-by-step explanation:

60% of 15 is 9, so 15-9 is 6.

The number of cupcakes needed to get the order to 100% is 6 cupcakes.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

60% = 9 cupcakes

Multiply 100/60 on both sides.

100/60 x 60% = 100/60 x 9 cupcakes.

100% = 5 x 3 cupcakes

100% = 15 cupcakes

Thus,

6 more cupcakes are needed.

Learn more about percentages here:

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Answer:

I am stuck on the same question please comment if someone answers

Answer:

3

Step-by-step explanation:

Okay so 18 chairs were used more for 6 more rows so each row has 3 length.

x = 3

Now this makes no sense, because I don't know why you would leave 6 chairs if you only have 3 chairs for each row but....(Hue is weird so let's not question him)

Anyways mathematically

first arrangement = 2x + 6

second arrangement = 8x - 12

2x + 6 = 8x - 12

6x = 18

x = 3

Answer:

4

Step-by-step explanation:

Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.

Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.

The missing numbers in the multiplication table are 49, 48 and 56 respectively

Given:

35

42

?

35 = 7 × 5

42 = 7 × 6

? = 7 × 7 = 49

40

?

?

40 = 8 × 5

? = 8 × 6 = 48

? = 8 × 7 = 56

Therefore, the missing numbers in the multiplication table are 49, 48 and 56 respectively

Learn more about multiplication:

https://brainly.com/question/10873737

Answer:

about two clams per person

Step-by-step explanation:

Answer:

It is 1.5 lb per serving.

Step-by-step explanation:

Well, this is just a matter of proportions.

Here is our current proportion:

150lb

---------

100 guests

Now, all we need to do is make it per one guest.

150lb     =      x lb

-----------      ---------------

100 guests = 1 guest

Now, to get from 100 to 1, I divided by 100, right?

So, because this is a ratio, and it needs to be proportional, we do the same for 150.

150/100=1.5.

It is 1.5 lb per serving.

5,610

When rounding to the nearest ten, like we did with 5620 above, we use the following rules:

Answer: 5620

~~Step-by-step explanation~~

Rounding has a simple rule. 5 or above? Up you shove. 4 or below? Keep it low.

1. What are you using to round?

2. Execution

Answer:

y=7

Step-by-step explanation:

The slope is (7-7)/(3+7) = 0. So, the line is a horizontal line.

The y value of both points is 7.

Answer:

600 in the 8% interest and 2400 in the 3% interest.

Step-by-step explanation:

600 + 8% = 48

2400 + 3% = 72

72 + 48 =120

The standard deviation of the grade points average of the college seniors is 0.57.

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The sum of the given data is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 +  2.4 + 2.8 + 2.9 + 3.8 + 3.0 +  2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The mean of the distribution is calculated as follows;

[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]

The square of the difference between the grade point and the mean;

[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]

The standard deviation of the grade points is calculated as follows;

[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]

Thus, the standard deviation of the grade points average of the college seniors is 0.57.

Learn more about standard deviation here: https://brainly.com/question/12402189

Answer:

2) x=60

Step-by-step explanation:

x/6=10

multiply both sides by 6

x = 10*6

x=60

hope this helps! :D

have a miraculous day!! <3

Answer:

2) x = 60

Step-by-step explanation:

x/6=10

multiply both side by 6

x = 10*6

x = 60

✌️❤️✌️

again, we're assuming that both triangles are similar, and thus using proportions.

[tex]\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}[/tex]

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

Answer:

$295

Step-by-step explanation:

2950 · 0.10 =  295

Ans. 450

Solve.

Add 100and you will get the ans

Answer:

$56.70

Step-by-step explanation:

45 x 6% = 2.7 Multiply price of meal with the percentage of sales tax

45 x 20% = 9 Multiply price of mean with the percentage of tip

$9 is the tip amount

$2.70 is the sales tax

$45 + $2.70 + $9 = $56.70. Add the price of the meal with the sales tax and tip amount to get the total cost of the meal.

Answer:

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

Look at the front side of the building. It's a triangle, with the height given. We can see a right triangle here which means we can use the Pythagorean theorem. a^2 + b^2 = c^2 (a and b are the shorter sides called legs and c is the longest side called the hypotenuse)

20^2 + 13^2 = c^2

400 + 169 = c^2

569 = c^2 square root both sides

Sqrt 569 is approximately 23.85 ft. This is the length from the roof peak down the front edge to the bottom front right corner in the image.

Now, if we consider the roof itself. That edge is now a leg (on the front face it was the hypotenuse). The other leg is the 35 ft width given. So we'll use pythagorean theorem again to find the diagonal

23.85^2 + 35^2 = c^2

568.8 + 1225 = c^2

1793.8 = c^2

Square root both sides of the equation.

Sqrt 1793.8 = c

42.35 ft = c

The diagonal of the roof is just over 42 feet, that is 42.35 feet.