Write the equation in standard form for the circle x² + y² + 4y + 3 = 0

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Explanation:

The spreadsheet is shown below.

In cell B6, the formula used is the NORMINV function to get the z critical value. The name is the result of putting the words "NORM" and "INV" together, which refers to the inverse normal.

It's used to find the value of k in P(-k < Z < k) = 0.99, which in this case is roughly k = 2.576 so the z critical value is roughly z = 2.576

What you type in specifically is [tex]=\text{NORMINV}( (1-0.99)/2, 0, 1)[/tex]

The (1-0.99)/2 portion ensures that we get the alpha/2 value which in this case is 0.005

The 0,1 at the end refers to the mean and standard deviation respectively of the standard normal Z distribution.

The output of that NORMINV function is then made positive and then you'd round to 3 decimal places.

So that's how we can get excel to display z = 2.576

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The margin of error E formula is

E = z*sqrt(phat*(1-phat)/n)

which doesn't need an excel function to get the job done, though of course excel can handle it just fine. You'd type in the formula as shown, but be sure to reference the correct cells.

Once E is calculated, we compute the following

which are the lower (L) and upper (U) bounds of the confidence interval.

The results are L = 0.063 and U = 0.137

That confidence interval can be written in the form (0.063, 0.137) which is equivalent to saying 0.063 < p < 0.137

Answer:

x > 5

Hope it helps!

Answer: greater than 5

Step-by-step explanations

The potter probably doesn't want to apply the same glaze multiple times, in which case she has 15 choices for the first layer, 14 for the second, and 13 for the third, giving

15 * 14 * 13 = 2730

possible test vessels.

On the other hand, it's possible that the potter is fine with re-using the first glaze in the third layer. In that case, whichever glaze is used first is not counted among the options for the second layer, but it comes back for the third layer, so that there would be

15 * 14 * 14 = 2940

test vessels.

Answer:

The solutions to this system of inequalities are included in this inequality:

5/3x - 4 < y < 1/4x - 4

Here are an example of 3 solutions:

(-1,-5), (-2,-6), (-4,-8)

Answer:

she has 23 centimeters. because 9+14=23

Answer:

{x | x<5/4}

Step-by-step explanation:

Add 2 to both sides and simplify:

4x<5

Divide both sides by 4 and simplify:

x<5/4

Answer:

Step-by-step explanation:

A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.

Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...

  L + S = 60 . . . . . . combined weight is 60 lbs

  70L +60S = 4000 . . . . weight of boxes in the truck

__

We can solve this by substituting for s in the second equation.

  70L +60(60 -L) = 4000

  10L = 400 . . . . . . . . . subtract 3600, simplify

  L = 40

  S = 60 -L = 20

A large box weighs 40 pounds; a small box weighs 20 pounds.

Answer:

n=9

Step-by-step explanation:

Rewrite the equation as 0.5n=4.5.

0.5n=4.5

Divide each term by 0.5 and simplify.

n=9

u = 1

Hi there !

3u + 4 = 7

3u = 7 - 4

3u = 3

u = 3 : 3

u = 1

Good luck !

Answer:

The berry

Step-by-step explanation:

The question asks what food needs the most to measure the dish. So we have to find the smallest amount so we can use the most items to measure a dish. The berry is the smallest, and will be our answer.

Explanation:

Draw a rectangle. Then draw three vertical lines inside to split the rectangle into 4 equal pieces. Shade one of the pieces to represent 1/4.

Now draw 2 horizontal lines to split that 1/4 piece into three equal smaller pieces. You should end up with a 3 by 4 grid of small squares.  There are 3*4 = 12 small squares total.

Each person gets 1/12 of a unit of ribbon, when we started off with 1/4 of a unit of ribbon. Notice how 3*(1/12) = 3/12 = 1/4.

Refer to the diagram below.

Answer:

[tex]\displaystyle \frac{1}{12}[/tex]

Step-by-step explanation:

Multiply both denominatour and numeratour by 3 to determine this:

[tex]\displaystyle \frac{3}{12} = \frac{1}{4}[1\:(or\:\frac{3}{3})] \\ \\ \boxed{\frac{1}{4}} = \frac{3}{12}[/tex]

Therefore, each person will obtain ¹⁄₁₂ of the ribbon.

I am joyous to assist you at any time.

Answer:

3/5

Step-by-step explanation:

The immediate translation to a fraction would be 6/10, but it simplifies to 3/5.

Answer:

THE ANSWER IS 5

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

78.3333333333

Step-by-step explanation:

77 + 78 + 80 = 235

235 ÷ 3 = 78.3333333333

Answer:

78.3333

Step-by-step explanation:

add all the numbers and divide by 3(as there are three numbers)

Answer:

D

Step-by-step explanation:

As

[tex]\frac{8}{8}[/tex]

because the rate is of

1/8 and

8/8=1

[tex]5 + 4 \times 2 \\ 5 + 8 \\ = 13[/tex]

We solved it using the rule:

BODMAS

Answer:

[tex]\displaystyle 13[/tex]

Step-by-step explanation:

[tex]\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 5 + 4 \times 2 \hookrightarrow \\ \\ \boxed{13} = 5 + 8[/tex]

By using GEMS, the result is thirteen.

I am joyous to assist you at any time.

Answer:

2a-3

Step-by-step explanation:

3a+-2+-2a+-1

= 3a+-2a +-2+-1    (combine like terms)

=2a+-3   (subtract 3a+-2a and add -2+-1)

Answer:

WDYM

Step-by-step explanation:

Answer:

Step-by-step explanation:

The line of best fit in scatter diagram, the variable have a positive correlation.

Scatter Diagram is attached :

Answer:

length is 10 and X is 5

Step-by-step explanation:

A and D is 14 cm their opposite side is BC is 4 so AB is 10

X is 2x=10

X=10/2

X=5

Answer:

1/3+1/8+2/6=19/24-5=1/24

From the given parameters, the fraction of time spent doing other things is 5/24

The given parameters are:

Sleep = 1/3

Homework = 1/8

Playing = 2/6

Doing other things = 5 hours

There are 24 hours in a day.

So, the fraction of time spent doing other things is the amount of time doing other things divided by the number of hours in a day

So, we have:

Time = 5/24

Hence, the fraction of time spent doing other things is 5/24

Read more about fractions at:

https://brainly.com/question/1622425

#SPJ5

Answer:

13 to 10

Step-by-step explanation:

13 boys, 10 girls

13:10

The ratio of boys to girls in the classroom is  13:10

hence option B is correct

According too the given situation

The number of boys in the classroom = 13

The number of girls in the classroom = 10

Ratio is a quantitative relationship between two numbers showing a comparable form of magnitudes of both the numbers/quantities.

Let "a" and "b" be two numbers then the Ratio of "a" and "b" is shown as formulated in equation (1)

[tex]\rm r = a:b ........(1)[/tex]

The ratio of two numbers can be found out in simplest form by dividing these two numbers such that the division results in positive natural numbers for both the quantities.

So we can conclude that   the ratio of boys to girls in the classroom are

[tex]\rm \dfrac{Boys }{Girls } =\dfrac{13}{10} \\\\Boys : Girls = 13:10 \\[/tex]

So we can conclude that the ratio of boys to girls in the classroom is  13:10

hence option B is correct

For more information  please refer to the link given below

https://brainly.com/question/25326254

Answer: I think it is 6.4 please don’t give a bad review if not

Step-by-step explanation: 4^2,5^2 and the square root that

Answer:

407,102 meters

Step-by-step explanation:

Convert the kilometers to meters.

394 km x 1000 = 394000 meters

13 km x 1000 = 13000 meters

Add the results together.

407,000

Now add the remaining values to 407,000

407,000 + 34 = 407,034

407,034 + 68 = 407,102

The answer is 407,102 meters.

Hope I helped :)

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