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2 years ago

Use the Distributive Property to find the missing factors. Enter your answers in the boxes. 6 × = (3 × 7) + ( × 7)

Mathematics

1 answer:

musickatia [10]2 years ago

5 0

The missing number is 3

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Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De

Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable X represent the time a child spends waiting at for the bus as a school bus stop.

The random variable X is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is, $\lambda=\frac{1}{\mu}=\frac{1}{7}$ .

The probability density function of X is:

$f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0$

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

$P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx$

$=\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148$

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0

3 years ago

Claudia says that she used the GCF to factor the expression 20x + 100xy as 20(x + 5xy). Is she correct? Explain.

Keith_Richards [23]

No, She is not correct.

Step-by-step explanation:

To find the greatest common factor of the expression 20x + 100xy.

Given expression 20x + 100xy.

Let us factor the expression 20x + 100xy.

Now take the common factor in the expression 20x + 100xy.

The common factor is 20x.

So, 20x + 100xy = 20x( 1+ 5y)

But Claudia says that the greatest common factor is 20(x+5xy).

The GCF is wrong.

So, she is not correct.

8 0

3 years ago

What is thee answer?

11111nata11111 [884]

I believe the answer is B.
Hope this helps <3

5 0

2 years ago

The cost of rubens large storage unit $285.47 per month. If Ruben pays in advance for 2 years of storage,how much will he pay in

Mrrafil [7]

285.47 * 24 = 6851.28

$6851.28 for 2 years

4 0

3 years ago

Read 2 more answers

9in, 4in, 6in, _ is it a triangle?

gulaghasi [49]

Answer:

scalene triangle

Step-by-step explanation:

all sides are different

Brainlist Pls!

4 0

2 years ago