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2 years ago

a contractor was paving a driveway he mixed 4/7 ton lf sand and 1/3 ton of concrete how much did the mixture weigh

Mathematics

1 answer:

NeTakaya2 years ago

8 0

Answer: 19/21

Step-by-step explanation: find the same multiple for both so you can combine them

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Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari

Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

Let X = waiting time for a car to pass by on a country road

The probability distribution function of exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} , x >0$ where, $\lambda$ = parameter of distribution.

Now, the mean of exponential distribution is = $\frac{1}{\lambda}$ which is given to us as 35 minutes that means $\lambda = \frac{1}{35}$ .

So, X ~ Exp( $\lambda = \frac{1}{35}$ )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

$F(x) = P(X \leq x) = 1 - e^{-\lambda x}$ , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X $\leq$ 37 min)

P(X $\leq$ 37 min) = $1 - e^{-\frac{1}{35} \times 37}$ {Using CDF}

= 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0

3 years ago

The point A = (7,4) is dilated from the origin by a scale factor r = 3. What are the coordinates of A' ?

fomenos

Given:

The coordinates of point A are (7,4).

It is dilated from the origin by a scale factor r = 3.

To find:

The coordinates of A'.

Solution:

If a figure is dilated from the origin by a scale factor k, then

$(x,y)\to (kx,ky)$

Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(7,4)\to A'(3(7),3(4))$

$A(7,4)\to A'(21,12)$

Therefore, the coordinates of point A' are (21,12).

6 0

2 years ago

A cylinder has a radius of 10 feet and a height of 11.4 feet.

poizon [28]

Answer:

V = 3579.6 ft^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius = 10

The height is 11.4 and pi is 3.14

V = (3.14) * ( 10) ^2 * 11.4

V = 3579.6 ft^3

3 0

3 years ago

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9. Miguel measures 5 kg of rice. One kilogram is approximately equal to 2.2 pounds. Which

Nitella [24]

Answer: 11

Step-by-step explanation:

One kilogram is equal to 2.2 pounds so all you would have to do is multiply 2.2 x 5 and you get 11. :)

8 0

3 years ago

ANSWER NOW PLEASE.Solve this system of equations with substitution x = y - 4 2y = x

Arada [10]

In points form the answer is (-8,-4) and in equation form the answer is x=-8, y=-4
If this answered help you then please consider marking it as brainliest to help me level up to expert

4 0

3 years ago

Read 2 more answers