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ira [324]
3 years ago
5

Find the x-intercept and y-intercept from the following linear equation: -2x + 4y = -16

Mathematics
1 answer:
irina1246 [14]3 years ago
7 0

Answer:

x-intercept: (8, 0)

y-intercept: (0, -4)

Step-by-step explanation:

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How much difference do a couple of weeks make for birth weight? Late-preterm babies are born with 34 to 36 completed weeks of ge
stiks02 [169]

Answer:

a) 0.3277

b) 0.0128

Step-by-step explanation:

We are given the following information in the question:

N(2750, 560).

Mean, μ = 2750

Standard Deviation, σ = 560

We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P (less than 2500 grams)

P(x < 2500)

P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)

Calculation the value from standard normal z table, we have,  

P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%

b) P ((less than 1500 grams)

P(x < 1500)

P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)

Calculation the value from standard normal z table, we have,  

P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%

3 0
3 years ago
Ms.Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are 3
stepan [7]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> number of tennis balls

y ----> number of tennis rackets

we know that

To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets

In this problem we have

\frac{x}{y}=\frac{5}{3}

so

x=\frac{5}{3}y

That means

The number of tennis balls is three-fifths times the number of tennis rackets

see the attached figure to better understand the problem

8 0
3 years ago
5. Find the quotient: 0.382 +0.2.<br> A 0.0764<br> C 1.91<br> B 0.764<br> D 0.191
ankoles [38]

Answer:

The expression is not correctly given. However If you want the quotient of 0.2 divided by 0.382. This would be the correct answer

C.  \: 1.91

Hope thai helps!

please like if I'd does help! (:

3 0
2 years ago
Which polynomial correctly combines the like terms and puts the given polynomial in standard form?
Minchanka [31]

Answer: -5x^3y^3+8x^4y^2-7xy^5+x^2y^4+8x^6

Step-by-step explanation:

-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5

-5x^3y^3+8x^4y^2+(-xy^5-6xy^5)+(-2x^2y^4+3x^2y^4)+8x^6

-5x^3y^3+8x^4y^2+(-7xy^5)+(x^2y^4)+8x^6

-5x^3y^3+8x^4y^2-7xy^5+x^2y^4+8x^6

8 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line y = 1?
ValentinkaMS [17]
Y = 1
Using y = mx + c.
Compare to y = 1,    y = 0x + 1 ,
We can see that the slope m = 0 and the vertical intercept, c = 1.
For the line perpendicular to  y = 1
Condition for perpendicularity  m₁m₂ = -1
m₁ = 0,  m₂ = ?
0*m₂ = -1
m₂ = -1/0 = Negative Infinite or Infinite 
Slope of line perpendicular to y = 1, is  = Infinite. 
3 0
3 years ago
Read 2 more answers
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