The center of a hyperbola is located at the origin. one focus is located at (0, 20), and its associated directrix is represented by the line y = . what is the equation of the hyperbola? = 1 = 1 = 1 = 1

Answer:

the fourth option

Step-by-step explanation:

due to the range and median the range is 4 to 17 and the median is 10

Answer:

6

Step-by-step explanation:

3/5 of 30=18

18-30=12

half of 12 gets you 6

Answer:

  m = 39°

Step-by-step explanation:

The useful relations here are ...

__

Angle ACB subtends the same arc (AB) as angle ADB, so has the same measure, 36°. Then the sum of angles in triangle ACB is ...

  33° +36° +72° +m = 180°

  m = 180° -141° = 39°

The statement "the number of people who shop at grocery stores each day will yield variability

This is the ability of a data to change. It determine the measure at which data points diverge that is far from each other.

For the number of people who shop at grocery stores each day." will yield variability since different set of people from different location to patronize the grocery shop.

The statement "the number of people who shop at grocery stores each day will yield variability

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Hello ~

My name is lrxdscent, and I will be answering your question today! :D

Let's go by step-by-step ~

[tex]\sf{= -52x}[/tex]

[tex]\sf{26x \: (-5 \: + \: 3)[/tex]

[tex]\sf{Add \: the \: numbers: \: -5 \: + \: 3 = -2}[/tex]

[tex]\sf{= 26x \: (-2)[/tex]

[tex]\sf{Multiply \: the \: numbers: \: 26 \: (-2) \: = \: -52}[/tex]

[tex]\sf{= -52x}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer and Explanation:

Sara's sample is biased, she's only taking people that naturally would pull out their phones as they are waiting for a bus to arrive.

Sara's claim is not valid, the sample is too small and biased to be applied to her whole town.

If each kite measures 6 inches across and 12 inches long. The square inches of the wall will be:  864 square inches.

Diagonals= d1 and d2

First step

Area =(1/2)×(d1×d2)

Area=(1/2)×(6×12)

Area =36 in²

Second step

1 feet = 12 inches

12 feet =  12×12

12 feet = 144 in

Third step

Number of square inches=(144/6)×36

Number of square inches=24×36

Number of square inches= 864 square inches

Therefore the square inches of the wall will be: 864 square inches.

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Answer:

C

Step-by-step explanation:

Solution

x=\frac{-5 \pm \sqrt{13}}{6}

Answer:

dimensions 20cm x80cm

Step-by-step explanation:

length is 4W of 1W,

LxW=area of 1600

4W x 1W = 1600cm2

divide both by 4 to isolate W

W=400cm2

square root of 400=20

replace W with 20 into equation 4Wx1W

4x20=80

1x20=20

80 is 4x the width of 20

Answer:

Refer to the 2 attachments .

____

Hope it helps ⚜

Answer:

13. 3

Step-by-step explanation:

Given Points:

(x1= 4, y1 = 11), (x2= - 9, y2 = 8)

Distance Formula:

d² = (x2 -x1)² + (y2 -y1)²

Substitute and Calculate:

d² = ( -9 -4)² + ( 8 -11)²

d² = (-13)² + (-3)²

d = √(169+9)

d = √178

d = 13.34166406 round to the nearest tenth

d = 13. 3

The probability that the event management company will sign the contract with the dance studio is; c. 0.024

The general formula for binomial Probability is;

P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾

From the question, we want to find;

P(X = 75)

where;

Sample size; n = 120 and probability of success; p = 0.69

Thus, we have;

P(X = 75) = ¹²⁰C₇₅ * 0.69⁷⁵ * (1 - 0.69)⁽¹²⁰ ⁻ ⁷⁵⁾

P(X = 75) = 0.024

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The radius of the softball is 2.5 inches

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume is 125/6 pi

Substituting in

125/6 pi = 4/3 pi r^3

Divide by pi on each side

125/6 pi/ pi = 4/3 pi/ pi r^3

125/6 = 4/3  r^3

Multiply by 3/4 on each side to isolate r

125/6 * 3/4 = 3/4 *4/3  r^3

125/8 = r^3

Take the cube root on each side

(125/8) ^ 1/3 = (r^3) ^ 1/3

5/2 = r

2.5 =r

The radius of the softball is 2.5 inches

Answer:

[tex]\huge\boxed{\sf r = 2.5 \ in.}[/tex]

Step-by-step explanation:

[tex]\sf Volume \ of \ sphere = \frac{4}{3} \pi r^3\\\\Where \ volume = \frac{125 \pi }{6 } \ in.^3\\\\Put \ in \ the \ above\ formula:\\\\\frac{125 \pi}{6} = \frac{4}{3} \pi r^3\\\\Cancel \ pi\\\\\frac{125}{6} = \frac{4}{3} r^3\\\\20.83 = 1.33 r^3\\\\Divide \ 1.33 \ to \ both \ sides\\\\20.83/1.33 = r^3\\\\15.625 =r^3\\\\Take \ cube \ root \ on \ both \ sides\\\\\sqrt[3]{15.625} = \sqrt[3]{r} \\\\2.5 = r\\\\[/tex]

[tex]\sf r = 2.5 \ in.\\\\\rule[225]{225}{2}[/tex]

Answer:

The mean is 80.875 or 81 rounded

Step-by-step explanation:

To find the mean of any set of numbers, you need to get the values added up together and the #values (how much numbers there are).

Formula setup: amountaddedup/#numbers

✔ When we plug in the values in the formula, you will get 80.875.

The mean of the given data is 80.75.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given data is 95, 45, 37,82 ,90,100, 91 ,78 , 67 ,84 ,85 ,85 , 82 , 91 , 93 , 92,76,  84, 100, 59 , 92,  77 , 68 and 88

Mean = Sum of the observations/ Total number of observation.

Sum of the observations = 95+ 45+37+82+90+100+91+78+67+84+85+85 +82 +91+93+92+76+84+100+59+92+77+68+88

=1941

Total number of observation= 24

Mean = 1941/24

=80.875

Hence, the mean of the given data is 80.75.

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Answer:

x = 6

Step-by-step explanation:

7x = 42

Divide both sides by 7

x = 6

Answer: 49x I am pretty sure

Step-by-step explanation: you take 7 + 42= 49 then you put the x there

Then your answer should be correct please dont be mad if its not correct!!

Step-by-step explanation:

I edit this on computer, because I have class later

Answer:

Step-by-step explanation:

I don't know if it's correct

Answer:

No

Step-by-step explanation:

4/9 divided by 5/7 is equal to 4/9 * 7/5 = 28/45. We can see that 63/20 is not equivalent to 28/45 as 28/45 is less than one and 63/20 is greater than one.

Answer:

(-7,-3)

Step-by-step explanation:

explained in graph :)

Answer:

[tex]10x + 10x^{2} + 2x\\= 10x + 2x + 10x^{2}\\= 12x + 10x^{2}\\= \boxed{2x(6 + 5x)}[/tex]

Given Expression,

We can also write it as,

Now, Combining the like terms,

We simplified the expression.

If you want it to factorise it,

⇒10x² + 12x

⇒ 2x(5x + 6)

This is required factorised expression

Answer:

true

Step-by-step explanation:

Answer:

First you add 1/3 and 4/5

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get: 5/15 +12/15

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:

5+12/15 which is 17/15

That's the sum of 1/3 + 4/5.

Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:

17*7/15*1  and you get 119/5

Since 119 and 15 don't have a common factor, so they can't be simplified.

So, the answer is 119/15.

Answer:

see explanation

Step-by-step explanation:

There are 4 sections on the spinner so each option is 1/4

1) 4 Ds = 1/4 × 1/4 × 1/4 × 1/4 × 3/4 × 3/4 = 9/4096

the other two spins can be A, B, or C (3/4)

2) 2As = 1/4 × 1/4 × 3/4 × 3/4 × 3/4 × 3/4

the other two spins can be B, C, or D (3/4)

3) 2As = 1/4 × 1/4 = 1/16    OR means add

   3Bs = 1/4 × 1/4 × 1/4 = 1/64

1/16 + 1/64 = 5/64

4) at least 4 Cs = 1/4 × 1/4 × 1/4 × 1/4 =1/256

The relative frequency table is a two way table, and the value of y in the relative frequency table is 27%

From the complete question, we have the following row

y    24%   51%

Express the row as an equation

y + 24% = 51%

Subtract 24% from both sides

y + 24% - 24%= 51% - 24%

Evaluate the difference

y = 27%

Hence, the value of y in the relative frequency table is 27%

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Answer:

2/7 or 29%

Step-by-step explanation:

you add all the numbers than you put the blue marble on top and there it is.

Answer:

2/7

Step-by-step explanation:

Hello there.

1. First, you would add all the numbers up to get the total.

3 + 2 + 2 = 7 total marbles

2. Of those 7 marbles, 2 are blue. This would be 2/7 in fraction form.

Hence, there is a 2 in 7 chance that Sandra will choose a blue marble from the bag.

Hope this helps.

- Angelo

Answer:

B. -2

Step-by-step explanation:

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450     = $45

7.65% on $450 = $34.43

Total                   = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

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Answer: hii

The Answer is = -4/5

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Hopefully this helps you

- Matthew

Answer:

sure

Step-by-step explanation: