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Bingel [31]
3 years ago
6

the vertex of this parabola is at (-2,-3). When the x. value is -1and the y value is -5, what is the coefficient of the squared

expression. in. the parabolas equation
Mathematics
1 answer:
musickatia [10]3 years ago
3 0
Yes✨! The answer is deletus tweetus hocus pokus strolls! (Sorry I really need points)
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Please help me with this literal equation!
ollegr [7]

Answer:

x = \frac{n-20}{3a}

Step-by-step explanation:

Given

\frac{3ax-n}{5} = - 4

Multiply both sides by 5

3ax - n = - 20 ( add n to both sides )

3ax = - 20 + n = n - 20

Isolate x by dividing both sides by 3a

x = \frac{n-20}{3a}

4 0
3 years ago
Read 2 more answers
Fifteen less than four times a number
Nostrana [21]
The equation for this should be 4n - 15
3 0
3 years ago
When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 55 bat
aleksley [76]

The probability of accepting this shipment is 98%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Almost all such shipments will be accepted because the probability of having a sample with more than 3 defective batteries is very low.

The shipment will be accepted if at most 3 batteries don't meet specifications.

This can be modeled as a binomial distribution, where the sample size is n=55 and the probability of not meeting the specifications of any battery is p=0.02.

The shipment will be accepted if D ≤ 3.

The probability of this event is:

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P(D=X) = n!/(x!(n-x)!) pˣ(1-p)ⁿ⁻ˣ

P(D=0) = 55!/(0!(55-0)!) 0.02⁰(1-0.02)⁵⁵⁻⁰ = 1× 1 × 0.32 = 0.32

P(D=1) = 55!/(1!(55-1)!) 0.02¹(1-0.02)⁵⁴ = 54 × 0.02 × 0.33= 0.35

P(D=2) = 55!/(2!(55-2)!) 0.02²(1-0.02)⁵³ = 55 ×27 × 0.0004 × 0.34= 0.20

P(D=3) = 55!/(3!(55-3)!) 0.02³(1-0.02)⁵² = 25740× 0.0000008 × 0.35= 0.07

Then,

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P( D ≤ 3) = 0.32 + 0.35 + 0.20 + 0.07

P( D ≤ 3) = 0.98

Hence, the probability of accepting this shipment is 98%.

To learn more about the probability from the given link

brainly.com/question/24756209

#SPJ1

4 0
1 year ago
Use the table below to make a scatter plot of the data pairs (years since 1960, population) PLEASE HELP
Tpy6a [65]

Take 1960 as 0 then find out next year's

  • 1970=10
  • 1980=20
  • 1990=30
  • 2000=40
  • 2005=45
  • 2010=50

Also

Divide each population by one thousand i.e turn to decimal .

This we done to create the plot on graph easily

The graph has been attached

for the below points

  • (0,9.706)
  • (10,10.652)
  • (20,10.798)
  • (30,10.847)
  • (40,11.353)
  • (45,11.478)
  • (50,11.576)

7 0
2 years ago
Read 2 more answers
What is the equation of the parabola with vertex (6,7) and focus (7,7)?
Delicious77 [7]

Answer:

Step-by-step explanation:

If you plot these points on a coordinate plane, you see that they are on the same horizontal line, y = 7, with the focus 1 unit to the right of the vertex.  This means that the parabola is a sideways opening parabola, to the right, to be more specific.  That means that it has the basic vertex form

4p(x-h)=(y-k)^2

where p is the distance in units from the vertex to the focus, h is the first coordinate in the vertex, and k is the second coordinate in the vertex.  For us, p = 1, h = 6, and k = 7.  Now we will just fill the vertex form of the equation in with our values:

4(x-6)=(y-7)^2

We will solve this for x now by dividing each side by 4 and adding over the 6:

x=\frac{1}{4}(y-7)^2+6

4 0
3 years ago
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