Find the missing measures. Write your numerical answers only with a comma in between.

According to the system:

5 – 7x + 2y² = -10

1 – 5x – 2y = -22

______________

a) No ; (4, 6) is not a solution to the

system. This point does not touch either equation.

b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.

Solutions:

[tex]( \frac{122 - 3 \sqrt{101}}{25}, \frac{ - 7 +3 \sqrt{101}}{10}) ≈ (3.674, 2.315) \\ ( \frac{122 + 3 \sqrt{101}}{25}, \frac{ - 7 - 3 \sqrt{101}}{10}) ≈ (6.086, -3.715) [/tex]

x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086

y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715

Answer:

a negative

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

The fact that the market value falls below the maintenance cost, shows that the at the current value of the car is negative.

Answer:

what do u need help with

Answer:

x=19

Step-by-step explanation:

x+8=2x-11

-11+11=0

8+11=19

x-x=0

2x-x=x

x=19

Answer:

60 cm & 60 mL

Hope this helps! Let me know if this is right or not.

Answer:

625%

Step-by-step explanation:

Convert fraction (ratio) 25 / 4 Answer: 625%

Answer:

Google says 625% and 6.25 as a decimal

Answer:

450 cm i think

Answer:

229.9

Step-by-step explanation:

Answer:

229.9

Step-by-step explanation:

Uh easyyyyy lol

Answer:

16.1

Step-by-step explanation:

Answer: -8

Step-by-step explanation: because the formula is mx+b=y and the -8 is the b

Answer:

44

Step-by-step explanation:

Answer:

1a

  [tex]P(39 < X < 48 ) = 0.8767[/tex]

1b

    95% of all sample means will fall between [tex] 40.1  <  \mu < 49.9 [/tex]

1c

    [tex]\= x = 41. 795[/tex]

2

   [tex]n = 25[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is [tex]n = 45[/tex]

   The population standard deviation is  [tex]\sigma = 10[/tex]

   The sample size is n  =  16

Generally the standard error of the mean is mathematically represented as

       [tex]\sigma_{x} = \frac{ \sigma}{\sqrt{n} }[/tex]

=>    [tex]\sigma_{x} = \frac{ 10 }{\sqrt{16 } }[/tex]

=>    [tex]\sigma_{x} = 2.5[/tex]

Generally the probability that the sample mean will be between 39 and 48 minutes is

    [tex]P(39 < X < 48 ) = P( \frac{ 39 - 45}{ 2.5} < \frac{X - \mu }{\sigma } < \frac{ 48 - 45}{ 2.5} )[/tex]

=> [tex]P(39 < X < 48 ) = P(-2.4 < Z< 1.2 )[/tex]

=> [tex]P(39 < X < 48 ) = P( Z< 1.2 ) - P(Z < -2.4)[/tex]

From the z table  the area under the normal curve to the left corresponding to  1.2  and  -2.4  is

=> [tex]P( Z< 1.2 ) = 0.88493[/tex]

and  

    [tex]P( Z< - 2.4 ) = 0.0081975[/tex]

So

   [tex]P(39 < X < 48 ) = 0.88493 -0.0081975[/tex]

=> [tex]P(39 < X < 48 ) = 0.8767[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96 * 2.5 [/tex]  

=>   [tex]E =4.9 [/tex]  

Generally the  95% of all sample means will fall between

      [tex]\mu -E <  and  \mu  +E[/tex]

=>   [tex]45  -4.9\  and \ 45  + 4.9[/tex]

Generally the value which  90% of sample means is  greater than is mathematically represented

      [tex]P( \= X > \= x ) = 0.90[/tex]

=>   [tex]P( \= X > \= x ) = P( \frac{\= X - \mu }{ \sigma_x} > \frac{\= x -45 }{ 2.5} ) = 0.90[/tex]

=>  [tex]P( \= X > \= x ) = P( Z > z ) = 0.90[/tex]

Generally from the z-table  the critical  value  of  0.90  is  

      [tex]z = -1.282[/tex]

      [tex]\frac{\= x -45 }{ 2.5} = -1.282[/tex]

=>   [tex]\= x = 41. 795[/tex]

Considering question 2

 Generally we are told that the standard deviation of the mean to be one fifth of the population standard deviation, this is mathematically represented as

         [tex]s = \frac{1}{5} \sigma[/tex]

  Generally the standard deviation of the sample mean is mathematically  represented as

          [tex]s = \frac{\sigma }{ \sqrt{n} }[/tex]

=>       [tex]\frac{1}{5} \sigma = \frac{\sigma }{ \sqrt{n} }[/tex]

=>       [tex]n = 5^2[/tex]

=>       [tex]n = 25[/tex]

Using the normal distribution and the central limit theorem, it is found that:

1)

a) 0.8767 = 87.67% probability that the sample mean will be between 39 and 48 minutes.

b) 95% of all sample means will fall between 40.1 and 49.9 minutes.

c) 90% of the sample means will be greater than 41.8 minutes.

2) A sample size of 25 is needed.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item 1, question a:

The probability is the p-value of Z when X = 48 subtracted by the p-value of Z when X = 39, hence:

X = 48:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{48 - 45}{2.5}[/tex]

[tex]Z = 1.2[/tex]

[tex]Z = 1.2[/tex] has a p-value of 0.8849.

X = 39:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{39 - 45}{2.5}[/tex]

[tex]Z = -2.4[/tex]

[tex]Z = -2.4[/tex] has a p-value of 0.0082.

0.8849 - 0.0082 = 0.8767

0.8767 = 87.67% probability that the sample mean will be between 39 and 48 minutes.

Item b:

The critical value for a 95% confidence interval is |z| = 1.96, hence:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1.96 = \frac{X - 45}{2.5}[/tex]

[tex]X - 45 = -1.96(2.5)[/tex]

[tex]X = 40.1[/tex]

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1.96 = \frac{X - 45}{2.5}[/tex]

[tex]X - 45 = 1.96(2.5)[/tex]

[tex]X = 49.9[/tex]

95% of all sample means will fall between 40.1 and 49.9 minutes.

Item c:

Greater than the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1.28 = \frac{X - 45}{2.5}[/tex]

[tex]X - 45 = -1.28(2.5)[/tex]

[tex]X = 41.8[/tex]

90% of the sample means will be greater than 41.8 minutes.

Item 2:

This is n for which [tex]s = \frac{10}{5} = 2[/tex], hence:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]2 = \frac{10}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 10[/tex]

Simplifying both sides by 2:

[tex]\sqrt{n} = 5[/tex]

[tex](\sqrt{n})^2 = 5^2[/tex]

[tex]n = 25[/tex]

A sample size of 25 is needed.

A similar problem is given at https://brainly.com/question/14789302

Answer:

The story revolves around a boy, Baal Veer, who is blessed with the powers of 7 fairies. Gaal Pari (Cheek Fairy), Vijhdar Pari (Electric Fairy), Baal Pari (Tress Fairy), Atkaati Pari (Obstacle Fairy), Aarpar Pari (Across Fairy), Bhatkati Pari (Wander Fairy), Natkhat Pari (Naughty Fairy) and Rani Pari (Queen Fairy) give magical powers to Baal Veer to help them fight an evil fairy Bhayankar Pari (Frightening Fairy), who wants to become the queen of Pari Lok (Fairy Realm). Years ago, Maa Pari (Mother Fairy) gave Pari Lok's (Fairy Realm's) throne to Bahuroopi Pari (Disguise Fairy) instead of Bhayankar Pari, who, at that time was Bhali Pari (Good Fairy), so she returns to take revenge from Maa Pari and Rani Pari. Baal Veer is sent to Earth to help children and to save Earth from Bhayankar Pari and the wrath of other cunning and cruel, evil fairies. Baal Veer stays with the Dagli family on Earth as Ballu. The family has seven members who never lie, even at the time of difficult circumstances, including Manav and Meher, who later receive powers from Rani Pari (they were made Baal Mitra and Baal Sakhi, respectively) and help Baal Veer in his quests and adventures.

Step-by-step explanation:

Answer:

32 miles

Step-by-step explanation:

32 miles is equal to 51.499008 Kilometers

12.7 kilometers is equal to 7.891414 miles

Answer:

Well it could be a number of fractions. It could be 1/8 and 4/8, or 2/8 and 3/8.

Answer:

The answer for the question is 11 and 12 I just got a test back and it was correct

Step-by-step explanation:

Answer:

32 and 146

Step-by-step explanation:

Answer:

Its either A or D because its reflection so that cancels out B and C

im not sure if this helps u or not but at lest it cancels out 2 of the options

The reflection of a horizontal line has the same result as a rotation of 90 degrees clockwise.

Step-by-step explanation:

When an image is rotated 90 degrees counterclockwise the shape is still congruent but in a different quadrant. The same is true when an image is reflected across a horizontal line.

Answer:

Standard Form: 2x - y = -2

Answer:

AAS (Angle-Angle-Side)

Step-by-step explanation:

Topic: congruence and similarity

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

Angle Angle Side

Step-by-step explanation:

You can see you have two angles next to each other and one side next to that so just see which proof it fits

Hope This Helps

Answer:

1 cup of hot chocolate is $2.5

1 slice of pumpkin pie is $2.5

Step-by-step explanation:

Represent Pumpkin Pie with P and Hot Chocolate with C:

Marty:

[tex]2P + 2H = 10[/tex]

Patty:

[tex]4P + 5H = 22.5[/tex]

So, we have the following set of equation:

[tex]2P + 2H = 10[/tex] -------- (1)

[tex]4P + 5H = 22.5[/tex] -------- (2)

Multiply the first equation by 2

[tex]2(2P + 2H = 10)[/tex]

[tex]4P + 4H = 20[/tex] -------- (3)

Subtract (3) from (2)

[tex]4P + 5H = 22.5[/tex]

[tex]4P + 4H = 20[/tex]

--------------------------

[tex]5H - 4H = 22.5 - 20[/tex]

[tex]H = 2.5[/tex]

Substitute 2.5 for H in [tex]2P + 2H = 10[/tex]

[tex]2P + 2 * 2.5 = 10[/tex]

[tex]2P + 5 = 10[/tex]

[tex]2P = 10 - 5[/tex]

[tex]2P = 5[/tex]

Divide through by 2

[tex]P = \frac{5}{2}[/tex]

[tex]P=2.5[/tex]

Hence, 1 cup of hot chocolate is $2.5 and 1 slice of pumpkin pie is $2.5

Answer:

Simplify the solution: 13^1d^3

Step-by-step explanation:

Any expression raised to the power of one equal itself.

Answer:

m=2

Step-by-step explanation:

if that's not how you write it then try y=2x

Answer:

increases

Step-by-step explanation:

on on the side, it looks like you need to enter stuff into the table. All you need to do is copy the numbers from the table and transfer them to the empty one.

also this answer just makes sense. If you look at the table, you can see for the x values, they are always increasing. For The y values they are also increasing. Therefore, is the number of hours studying increases the corresponding test scores also increase

Answer: b

Step-by-step explanation:Step 1: Simplify both sides of the equation.

6x=x2+9

Step 2: Subtract x^2+9 from both sides.

6x−(x2+9)=x2+9−(x2+9)

−x2+6x−9=0

Step 3: Factor left side of equation.

(−x+3)(x−3)=0

Step 4: Set factors equal to 0.

−x+3=0 or x−3=0

Answer:

2. x = 3

3. x = 5

Answer:

Below.

Step-by-step explanation:

(2).   6x + 51 + 111 = 180

        6x = 180 - 162 = 18

         x = 3.

(3).   6x = 30

        x = 5.

Answer:

[tex]P = (-5,5)[/tex]

Step-by-step explanation:

Let the segments be A and B

[tex]A = (-9,3)[/tex]

[tex]B = (1,8)[/tex]

[tex]m:n = 2:3[/tex]

Required

Determine the endpoints after it is divided into ratios.

Let the point be represented with P

The formula to use is:

[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

Where

[tex]A = (-9,3)[/tex]  ----- [tex](x_1,y_1)[/tex]

[tex]B = (1,8)[/tex] ------ [tex](x_2,y_2)[/tex]

So:

[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

[tex]P = (\frac{2 * 1 + 3 * -9}{2 + 3},\frac{2 * 8 + 3 * 3}{2 + 3})[/tex]

[tex]P = (\frac{-25}{5},\frac{25}{5})[/tex]

[tex]P = (-5,5)[/tex]

Answer:

hey so the answer is m=-4

hope this helps!!~~