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N76 [4]
3 years ago
10

Thomas decides on a destination for his vacation. If he takes the train there, it

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0
3.5416 or 3.54 rounded.
You might be interested in
Solve for x in the equation 2 x squared + 3 x minus 7 = x squared + 5 x + 39.
Nastasia [14]

Answer:

\implies x=1\pm \sqrt{47}

Step-by-step explanation:

We want to solve for x in 2x^2+3x-7=x^2+5x+39

You need to group and combine like terms and write in standard form:

2x^2-x^2+3x-5x-7-39=0

\imples x^2-2x-46=0

By comparing to ax^2+bx+c=0, we a=1,b=-2 and c=-46

The solution can be obtained using the quadratic formula.

x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute the coefficients to get:

x=\frac{--2\pm \sqrt{(-2)^2-4*1*-46} }{2*1}

x=\frac{2\pm \sqrt{4+4*46} }{2}

x=\frac{2\pm \sqrt{4*47} }{2}

x=\frac{2\pm2\sqrt{47} }{2}

\implies x=1\pm \sqrt{47}

The last choice is correct

5 0
3 years ago
Read 2 more answers
If 60% of a car company's sales are from SUVs, and they sell a total of 360 cars that are not SUVs, how many SUVs did they sell?
solong [7]

Answer:

540 SUV's

Step-by-step explanation:

Sales percentage of non SUV's = 100 - 60 = 40%

Let total cars be x

40% of x = 360

\dfrac{40}{100}*x=360\\\\\\x=360*\dfrac{100}{40}\\\\\\x = 900

Number of SUV's = Total cars -   number of non SUV's

                             = 900 - 360

                              = 540

7 0
3 years ago
Ben and Tom each take their driving test. The probability that ben and tom will pass is 0.8 and 0.7, respectively. Work out the
Wittaler [7]

Answer:

Pr(only one of them will pass the driving test) = 0.38

Step-by-step explanation:

The probability that Ben will pass = 0.8

Let Pr = pribability

Pr(Ben pass) = 0.8

Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8

Pr(Ben fail) = 0.2

The probability that Tom will pass = 0.7

Pr (Tom pass) = 0.7

Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7

Pr (Tom fail) = 0.3

Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)

Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)

Pr(only one pass) = 0.24 + 0.14

Pr(only one pass) = 0.38

3 0
3 years ago
Graph a line with a y-intercept of 3 and containing the point (2, 5).
LenKa [72]

Answer:

click on the thanks

5 0
3 years ago
A recent survey reveals that of the 250 poodle owners interviewed, 93% of them regularly groom their dogs. If there are 50,000 r
wlad13 [49]
It's A, I'm 100% sure.
7 0
4 years ago
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