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Marysya12 [62]
2 years ago
5

Write -2x 2(-5x 2 +4x 3) in standard form.

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
6 0
This in standard form is -28x + 10. 
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A recipe for uncle Frank's homemade hush puppies call four 1/8 teaspoon of cyan pepper the recipe calls for six times as much as
Vinil7 [7]
I believe the answer is 3 teaspoons
4 0
2 years ago
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.
ZanzabumX [31]

Answer:

a) 22.94 psi

b) 5.93\times10^{-5}

Step-by-step explanation:

a)The pressure at which will trigger a warning is

31 - 31*0.26 = 22.94 psi

b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}

where x = 22.94, \mu = 31, \sigma = 2

f(22.94)={\frac {1}{2 {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {22.94-31}{2 }}\right)^{2}}

f(22.94)=0.2e^{-8.12} = 5.93\times10^{-5}

6 0
2 years ago
Ed is 7 years older than Ted. Ed’s age is also 3/4 times Ted’s age. How old are Ed and Ted?
svetlana [45]
Let Ted be x.

Ed is 7 years older =  x  + 7

Ed = (3/4)Ted

(x + 7) = (3/4)x

x + 7 = 3x/4

x - 3x/4 = -7

x/4 = -7

x = -28,           Ted = -28 years.

(x + 7) = -28 + 7 = -21,      Ed = -21 years

Goodness. We had negative numbers for the ages, well does that make sense?  No it doesn't.

Our answer is correct. But the sense in the question is lacking. The question has been wrongly set.

<span>We might assume negative ages to mean before they came into the world, before birth! </span>
7 0
2 years ago
A website reports that 70% of its users are from outside a certain country, and 60% of its users logon the website every day. Su
JulijaS [17]

Answer:

The value is P (I |  L  )  =     0.63

The probability has increased

Step-by-step explanation:

From the question we are told that

   The percentage that are from outside the country is  P(O) =  0.70

    The  percentage that logs on everyday is  P(L) =  0.60

    The  percentage that logs on everyday that are from the inside the country is     P(L  |  I) =  0.80

Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

     P (I |  L  )  =  \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }

Where  P(I) is the percentage that are from inside that country which is mathematically represented as

       P(I) =  1 -  P(O)

      P(I) =  1 -  0.70

      P(I) =  0.30

And P(L| O) is  percentage that logs on everyday that are from the outside  the country which is evaluated as

      P(L| O)  =  1-  P(L| I)

       P(L| O)  =  1-  0.80

       P(L| O)  = 0.20

P (I |  L  )  =  \frac{ 0.3* 0.80 }{ 0.7 *0.20 + 0.3 * 0.8 }    

P (I |  L  )  =     0.63

Given that the percentage that are from inside that country is  P(I) =  0.30

and that the probability that a person is from the country given that he logs on the website every day is  P (I |  L  )  =     0.63

We see that the additional information increased the probability

5 0
1 year ago
The singing club keeps sheet music in files. Each file holds 12 sheets. Of all the club's music, 2/3 fit into 3 files. How many
laila [671]
1 file -> 12 sheets

Now for 3 files -> 3*12 = 36 sheets, it takes up 2/3 of the total

So the total number of sheets: 36 / (2/3) = 54
6 0
2 years ago
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