Question 9 (1 point)
Solve for X
K
50°
110°
P
R
w
30x

Answer:

The equation is ( x² / 9 ) - ( y² / 7 ) = 1

Step-by-step explanation:

Given the data in question;

hyperbola is centered at the  origin, this means h and k are all equals to 0.

Vertices: (-3,0) and (3,0)

Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.

h - a = -3

0 - a = -3

a = 3

Foci: (-4,0) and (4,0)

h - c = -4

0 - c = -4

c = 4

we know that, for a hyperbola

c² = a² + b²

so

⇒ ( 4 )² = ( 3 )² + b²

16 = 9 + b²

b² = 16 - 9

b² = 7

So the equation for the hyperbola will be;

⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1

so we substitute

⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1

⇒ ( x² / 3² ) - ( y² / 7 ) = 1

⇒ ( x² / 9 ) - ( y² / 7 ) = 1

Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1

Answer:

$10 = 5  $5 = 11  $1 = 122

Step-by-step explanation:

i take the same class

Answer:

$10 = 5  $5 = 11  $1 = 122

Step-by-step explanation:

I checked of RSm

Answer:

52.38%

Step-by-step explanation:

P(991<X<997) = normalcdf(991,997,993,4) = 0.5328, therefore, about 52.38% of the bottles have volumes between 991 mL and 997 mL

The required proportion of bottles have volumes between 991 mL and 997 mL is 53.28%

Given that,

A bottler of drinking water fills plastic bottles with a mean volume of 993 milliliters (mL),

And standard deviation of 4 ml. The fill volumes are normally distributed.

We have to determine,

What proportion of bottles have volumes between 991 mL and 997 mL.

According to the question,

Mean of the drinking bottle = 993ml

[tex]\mu = 993[/tex]

And standard deviation of = 4 mL

[tex]\sigma = 4[/tex]

The proportion of bottles have volumes between 991 mL and 997 mL is,

[tex]= P (991<X<997) \\\\= P ( \dfrac{991-993}{4} <X < \dfrac{997-993}{4}) \\\\P( -0.5 < X < 1) = 0.5328 = 53.28\ percent[/tex]

Hence, The required proportion of bottles have volumes between 991 mL and 997 mL is 53.28%.

To know more about Proportion click the link given below.

https://brainly.com/question/4312900

Answer:

$202.5

Step-by-step explanation:

13.5 sqyd area

13.5 x 15= $202.5

Answer:

0.1248 = 12.48% probability of getting 3 blues.

Step-by-step explanation:

The M&Ms are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

7 + 4 + 4 + 2 + 3 + 3 = 23 total M&Ms, which means that [tex]N = 23[/tex]

Sample of 5 means that [tex]n = 5[/tex]

7 blue means that [tex]k = 7[/tex]

What is the probability of getting 3 blues?

This is P(X = 3).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,23,5,7) = \frac{C_{7,3}*C_{16,2}}{C_{23,5}} = 0.1248[/tex]

0.1248 = 12.48% probability of getting 3 blues.

Answer:

The first one (A) is the answer I got!

Step-by-step explanation:

Answer:

B = 706.5

Step-by-step explanation:

here you are given the diameter you need to First find a radius and radius is half of the diameter which is equal to 30 /2 = 15

Area of the circle is

[tex]\pi \: r { }^{2} [/tex]

3.14× 15×15 = 706.5

Answer:

[tex]P(Foreign\ Language\ n\ Sport) = \frac{7}{25}[/tex]

Step-by-step explanation:

Given

See attachment for Venn diagram

Required

Determine [tex]P(Foreign\ Language\ n\ Sport)[/tex]

First, we calculate the population of the set.

This is calculated as:

[tex]Total = Sport + Foreign\ Language + None + Both[/tex]

This gives

[tex]Total = 23 + 10 + 3+14[/tex]

[tex]Total = 50[/tex]

So, the required probability is:

[tex]P(Foreign\ Language\ n\ Sport) = \frac{n(Foreign\ Language\ n\ Sport)}{Total}[/tex]

[tex]P(Foreign\ Language\ n\ Sport) = \frac{14}{50}[/tex]

14 represents the intersection between Foreign and Sport i.e. n(Foreign n Sport)

So, we have:

[tex]P(Foreign\ Language\ n\ Sport) = \frac{7}{25}[/tex]

Answer:

2π!

Step-by-step explanation:

edge :)

Answer:

d. (600 - 81π) units ³

Step-by-step explanation:

Volume of the shaded portion = volume of triangular pyramid - volume of cone

= ⅓*A*h - ⅓πr²h

Where,

A = 15*10 = 150 units²

r = ½(9) = 4.5 units

h = 12

Plug in the values

Volume of the shaded portion = ⅓*150*12 - ⅓*π*4.5²*12

= (600 - 81π) units³

Answer:

Let the length of the sari be xm

cost of

2

1

=Rs 220

then cost of 1m=2(Rs220)=Rs440

Cost of the sari =x(Rs440)=Rs440x

But given that the cost of sari =Rs2640

Implies that

440x = 2640

Implies that

x=

440

2640

x=6

Answer:

13 of August,

Step-by-step explanation:

All of them worked together at day number zero (August 1).

We know that Elvis works every 3rd day

So he will work at:

day 3, day 6, day 9, etc.

We know that Izzy works every 4th day, then she will work at:

day 4, day 8, day 12, etc.

We know that Janaisa works every 6th day, so she will work at:

day 6, day 12, etc.

We just need to find a day where the 3 of them work, this is equivalent to finding a common multiple of the numbers: 3, 4 and 6.

To do it, we can just write the multiples of each one of these numbers and see which one is the first common multiple:

3)

3*1 = 3

3*2 = 6

3*3 = 9

3*4 = 12

3*5 = 15

...

4)

4*1 = 4

4*2 = 8

4*3 = 12

4*4 = 16

...

6)

6*1 = 6

6*2 = 12

So we can see that 12 is a common multiple of the 3 numbers.

Then they will work together 12 days after August 1th.

That would be the 13 of August,

Answer:

(cross multiply)

2:3

16:X

2X=16×3

2x=48

x=48÷2

x=24

Answer:

B

Step-by-step explanation:

I got it wrong but it showed me the right answer so, yea

Answer:

v

Step-by-step explanation:

Answer: the two electrolytes are the key ingredients in table salt and salt tablets

Two electrolytes, sodium and chloride, are the key ingredients in table salt and in salt tablets. These tablets have been used for many years to treat heat cramps and restore electrolytes lost through sweating

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

350/2= 175

175+90= 265

350-265=85

Answer:

Its 9

Step-by-step explanation:

I did this in 5th grade... All you gotta do is count and there's 4 in the bottom aka 2 rows of 4 and there's 1 block on the top its 9

4+4+1=9

4+4=8

Add a 1 etc.

Answer:

33,700m2 Land area: Singapore Flyer stands on 33,700m2 or 363,000 ft2 – an area that will fit 172 tennis courts or 1,120 parking lots. 471 meters is the real answer to the problem

Step-by-step explanation:

Plz brainlist

Answer:

A and B ( page 12 and page 20 )

Step-by-step explanation:

1/4 of an hour he read 9 pages ( 15 mins ) ( 60 / 1 hour divided by 4 = 15 ) In other words 9 pages in 15 mins. To get to an hour u gotta multiply by 4. 15x4=60 9x4=36 ( 1 hour of reading is 36 pages read )

60 divided by 3 = 20

36 divided by 3 = 12 for sure it’s A and B

A = p(1+r)^t

1600 = p(1+0.08)¹⁰

P = 1600/2.1589

P= 741.12

741.12 dollar money did you originally deposit into your savings account!

Answer:

224

Step-by-step explanation:

Answer:

wheres the question?

Step-by-step explanation:

Answer:

whats your question

Step-by-step explanation:

hahahbh

Answer:

[tex]3)\ x = 8[/tex]

[tex]4)\ x = 12[/tex]

Step-by-step explanation:

Given

The similar triangles

Required

Solve for x

TUV to TLM implies that, the corresponding sides are:

[tex]TU \to TL[/tex]

[tex]TV \to TM[/tex]

[tex]UV \to LM[/tex]

To solve for x, we use the following equivalent ratios

[tex]TV : TM =TU:TL[/tex]

This gives:

[tex]24 : x + 8=36 : 24[/tex]

Express as fraction

[tex]\frac{24 }{ x + 8} =\frac{36 }{ 24}[/tex]

Cross Multiply

[tex]36(x + 8) =576[/tex]

Divide both sides by 36

[tex]x + 8 =16[/tex]

Subtract 8 from both sides

[tex]x = 8[/tex]

FGH to WVU implies that, the corresponding sides are:

[tex]FG \to WV[/tex]

[tex]FH \to WU[/tex]

[tex]GH \to VU[/tex]

To solve for x, we use the following equivalent ratios

[tex]FH : WU =FG:WV[/tex]

This gives:

[tex]x + 3 : 5 = 27 : 9[/tex]

Express as fraction

[tex]\frac{x + 3 }{ 5 }= \frac{27 }{ 9}[/tex]

[tex]\frac{x + 3 }{ 5 }= 3[/tex]

Cross Multiply

[tex]x + 3 = 3 * 5[/tex]

[tex]x + 3 = 15[/tex]

Subtract 3 from both sides

[tex]x = 12[/tex]

Answer:

Step-by-step explanation:

Firstly, change the mixed fraction into improper fraction.

Secondly, multipy 6 containers by 15/4 to get total tons of sugar.

Thus 6*15/4=22.5

Answer:

A= 63

Step-by-step explanation:

the both sides are equal so it will be 63 and 63

angle c would be 54

Adding all the sides would give 180 as all sides equal 180

9514 1404 393

Answer:

  -6 or -8, depending on what you mean

Step-by-step explanation:

(-2)3 = -(2)(3) = -6

__

(-2)^3 = (-2)(-2)(-2) = -(2)(2)(2) = -8

Answer:

105.4

Step-by-step explanation:

Answer: -6.8

Step-by-step explanation:

First you have to find the mean of all the #’s so to do that you will have to add all the #’s up including the negatives and you would get -34, after you do that you will have to divide by 5 and get -6.8

Answer:

Step-by-step explanation:

it's about 18,  as per the graph