Terry selected two cards. The sum of her card is -10. Can one of the cards be positive and the other be negative.

Answer:

37

Step-by-step explanation:

just add the two numbers like they are not negative.

The general equation represented as: [tex]\mathbf{x^2 = 2py}[/tex]

The equation is given as:

[tex]\mathbf{x^2 = 64y}[/tex]

Recall that:

[tex]\mathbf{x^2 = 2py}[/tex]

Where:

[tex]\mathbf{F = (0,\frac p2)}[/tex] --- the focus

[tex]\mathbf{y = -\frac p2}[/tex] --- the directrix

Compare [tex]\mathbf{x^2 = 2py}[/tex] and [tex]\mathbf{x^2 = 64y}[/tex], we have:

[tex]\mathbf{2py = 64y}[/tex]

Divide both sides by 2y

[tex]\mathbf{p = 32}[/tex]

Recall that:

[tex]\mathbf{F = (0,\frac p2)}[/tex]  and [tex]\mathbf{y = -\frac p2}[/tex]

So, we have:

[tex]\mathbf{F = (0,\frac {32}2)}[/tex]

[tex]\mathbf{F = (0,16)}[/tex]

[tex]\mathbf{y = -\frac p2}[/tex]

[tex]\mathbf{y = -\frac{32}{2}}[/tex]

[tex]\mathbf{y = -16}[/tex]

The axis of symmetry is [tex]\mathbf{x = 0}[/tex]

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Answer:

Negative 5 and 7 over 8

Step-by-step explanation:

Answer:

Negative 5 and StartFraction 7 over 8

Step-by-step explanation:

Answer:

The value is  [tex]P(| \^ p -  p| < 0.05 ) = 0.9822 [/tex]

Step-by-step explanation:

From the question we are told that

    The population proportion is  [tex]p =  0.52[/tex]

     The sample size is  n  =  563      

Generally the population mean of the sampling distribution is mathematically  represented as

           [tex]\mu_{x} =  p =  0.52[/tex]

Generally the standard deviation of the sampling distribution is mathematically  evaluated as

       [tex]\sigma  =  \sqrt{\frac{ p(1- p)}{n} }[/tex]

=>      [tex]\sigma  =  \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }[/tex]

=>      [tex]\sigma  =   0.02106 [/tex]

Generally the  probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

            [tex]P(| \^ p -  p| < 0.05 ) =  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 ))[/tex]

  Here  [tex]\^ p[/tex] is the sample proportion  of persons with a college degree.

So

 [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma }  < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )[/tex]

Here  

    [tex]\frac{[\^p - p] - p}{\sigma }  = Z (The\ standardized \  value \  of\  (\^ p - p))[/tex]

=> [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 }  <  Z  < \frac{-0.47 + 0.52}{0.02106 }][/tex]

=> [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[ -2.37 <  Z  < 2.37 ][/tex]

=>  [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(Z <  2.37 ) - P(Z < -2.37 )[/tex]

From the z-table  the probability of  (Z <  2.37 ) and  (Z < -2.37 ) is

  [tex]P(Z <  2.37 ) = 0.9911[/tex]

and

  [tex]P(Z <  - 2.37 ) = 0.0089[/tex]

So

=>[tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) =0.9911-0.0089[/tex]

=>[tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = 0.9822 [/tex]

=> [tex]P(| \^ p -  p| < 0.05 ) = 0.9822 [/tex]

Answer:

32

Step-by-step explanation:

to get the area of a parallelogram you just do base times height

Answer:  x = 28

===================================================

Explanation:

The angles COE, EOF, and FOB combine to form angle COB

angle COB = (angleCOE)+(angleEOF)+(angleFOB)

angle COB = (3x)+(x)+(x+12)

angle COB = 5x+12

----------

Angles AOD and COB are vertical angles, so they are congruent

angle COB = angle AOD

5x+12 = 152

5x = 152-12

5x = 140

x = 140/5

x = 28

Answer:

-2*(6y-3x+9)

Step-by-step explanation:

Answer:

-6(-x+3+2y)

Step-by-step explanation:

Answer:

i love free points dont you

Answer: Can you describe it a lil better than that?

Step-by-step explanation:

Answer:

Angle A and H are Alternate exterior angles and they are congruent.

the answer is 144 not sure what you're supposed to do with that. 144 rounded would just be 100.

716 - 572 = 144

Answer:

-7

Step-by-step explanation:

Let the number be represented with 'Y'

Half of the number will be = Y/2

The difference of half of a number and 3

= Y/2 - 3

Is equivalent to negative 5

That is,

Y/2 - 3 = -5

y/2-3/1 = -5/1

Collect like terms

y/2 = -5/1+3/2

y/2 = -7/2

Multiply both sides by 2

y/2 ×2 = -7/2×2

Y = - 7

Hence the number is negative 7

Answer:

$23,275.817

Step-by-step explanation:

To get this answer, multiply 19,000 by 1.07.

$19,000 x 1.07 = 20,330 (one year later)

$20,330 x 1.07 = $21,753.10 (two years later)

$21,753.10 x 1.07= $23,275.817 (three years later)

The answer round to cents would be $23,275.82

Answer:

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable.

Step-by-step explanation:

The objective or equation would be to acquire the variables independently. A further explanation is provided below.

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Answer:

0

Step-by-step explanation:

(6-6)/(1-2)=0

Answer:

The slope is zero

Step-by-step explanation:

it is zero because if you graph the two points the line is horizontal meaning that only the x value goes up as the y value stays put meaning that the slope of this line is zero

Answer:

-6/4 is equivalent to that

Step-by-step explanation:

Answer:

the answer is 56.00 dollars

Step-by-step explanation:

I did this

Answer:

Step-by-step explanation:

m∠4 + m∠16 = 180° [Consecutive exterior angles]

m∠16 = m∠14 [corresponding angles]

Therefore, m∠4 + m∠14 = 180°

m∠7 + m∠11 = 180° [Consecutive interior angles]

m∠11 = m∠9 [Corresponding angles]

Therefore, m∠7 + m∠9 = 180°

In both the cases sum of the given angles is 180°.

Therefore, measure of ∠4 and ∠14 are related in the same way as the measurement of ∠9 and ∠7.

Answer:

O-O is this highschool stuff sorry couldnt help

Step-by-step explanation:

Answer:

i got none just me? i got 4

Step-by-step explanation:

Answer:

Ben ran at a speed of 240m/min and Sam ran at a speed of 200m/min So Ben is faster by a rate of 40/min

Step-by-step explanation:

Ben's miles per minutes

[tex] \frac{3600}{15} = 240[/tex]

Sam's miles per minute

Given

Answer:

The speed of the boat is 20 km/hr

Step-by-step explanation:

Let s be the speed of boat in still water

Let d be the distance

Upstream speed = s-4

Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.

So, Distance traveled in upstream =[tex]Speed \times time =(s-4) \times \frac{30}{60}[/tex]

Downstream speed = s+4

So, Distance traveled in downstream = [tex]Speed \times time =(s+4) \times \frac{20}{60}[/tex]

So, [tex](s-4) \times \frac{30}{60}=(s+4) \times \frac{20}{60}[/tex]

30s-120=20s+80

10s=200

s=20

Hence The speed of the boat is 20 km/hr

Answer: A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word.

Step-by-step explanation:

The term ; Cost per pound can be interpreted mathematically to mean;

Cost / pound ; where per means division. In the context above ;

cost per pound = cost of 1 pound of an item ;

(Stated Cost of the item ÷ pound of the item at the stated cost)

For the question above ;

2/3 pounds of ground beef cost $4;

Cost per pound = cost of 1 pound of ground beef ;

= $4 ÷ (2/3)

= $6

Hence, 1 pound of ground beef cost $6

Answer:

so the answer is a. 1/25 hope this helps can my reward be brainlest???

Step-by-step explanation: What is the result of 5 divided by one-fifth?

5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath.

StartFraction 1 Over 25 EndFraction

One-fifth

1

25

Answer:

The length of the segment is 5

Answer:

b

Step-by-step explanation: