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2 years ago

What percent of (4n) is 96

Mathematics

1 answer:

AveGali [126]2 years ago

4 0

N x 4 = 96
96/4=24
n=24

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Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per

madam [21]

Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = $\frac{1}{120 - 90} = \frac{1}{30}$ where 90 < x < 120

b.)

P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

d.)

P(95 < x< 110) = $\int\limits^{110}_{95} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}$

7 0

3 years ago

A rectangle measures 4 1/2 inches by 2 3/4 inches, what is the area of the rectangle? Answer in fraction form.

makkiz [27]

12 and 3/8 or if you want it entirely in a fraction 99/8.

7 0

2 years ago

I have one qt of solution diluted out 1:4 How much do I need to add to end up with a final product that’s a 1:10 solution?

LenaWriter [7]

Answer:

1.1352 L

Step-by-step explanation:

L = qt 1.0567

qt = 0.946 L

1:4 = 5

0.946/5 = 0.1892 L one part

0.1892 x 11 = 2.0812 11 parts as 1+10 =11

Answer therefore is subtracting 5 from 11 parts to get the final 6 parts added = 2.0812 - 0.946

= 1.1352 L

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2 years ago

What is the perimeter of the triangle?

Tema [17]

Finding the perimeter of a shape is just adding up the length of the sides. the vertical sides are 4 + 6, which is 10. For the hypotenuse, use Pythagorean Theorem. 4² + 6² = 16 + 36 = 52. Take the square root of 52: 7.211, and add it to 10. This makes the perimeter 17.211 units.

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2 years ago

98n^2-200 factoring special cases

Kipish [7]

Step-by-step explanation:

Factor 98n2−200

98n2−200

=2(7n+10)(7n−10)

Answer:

2(7n+10)(7n−10)

8 0

3 years ago