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2 years ago

Use the distributive property to rewrite 4(c - 9)

Mathematics

2 answers:

Katen [24]2 years ago

6 0

Answer:

4c-36

Step-by-step explanation:

4(c - 9)

4*c -4*9

4c-36

vova2212 [387]2 years ago

5 0

Answer: 4c-36

Step-by-step explanation:

(4×c)-(4×9)

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Bob 's daily commute time is randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes, and the most common len

Leto [7]

Answer:

0.6341 = 63.41% probability that his commute today took more than 35 minutes

Step-by-step explanation:

Randomly distributed = Uniform distribution.

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

$P(X > x) = \frac{b - x}{b - a}$

Randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes.

This means that $a = 20, b = 61$ .

What is the probability that his commute today took more than 35 minutes?

$P(X > 35) = \frac{61 - 35}{61 - 20} = 0.6341$

0.6341 = 63.41% probability that his commute today took more than 35 minutes

5 0

2 years ago

¿Cuántos números de 3 cifras sin repetición se forman a

Juli2301 [7.4K]

Answer:

Image result for ¿Cuántos números de 3 cifras sin repetición se forman a partir del siguiente conjunto {1-2-3-4-5}?AYUDA

Para cada grupo de 3 dígitos elegido habrá 3! = 6 posibles números. Por ejemplo, si elegimos los dígitos 2, 8 y 9 se pueden formar los números 289, 298, 829, 892, 928 y 982.

Step-by-step explanation:

3 0

1 year ago

Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to

konstantin123 [22]

Answer:

C. 47.5%

Step-by-step explanation:

The summary of the given statistics include:

mean =150000

standard deviation: 1200

The objective is to use tributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid: between $150,000 and $152,400

The z score formula can be use to calculate the percentage of the buyer who paid.

$z = \dfrac{X - \mu}{\sigma}$

For the sample mean x = 150000

$z = \dfrac{150000 - 150000}{1200}$

$z = \dfrac{0}{1200}$

z = 0

For the sample mean x = 152400

$z = \dfrac{152400 - 150000}{1200}$

$z = \dfrac{2400 }{1200}$

z = 2

From the standard normal distribution tables

P(150000 < X < 152400) = P(0 < z < 2 )

P(150000 < X < 152400) =P(z<2) -P(z<0)

P(150000 < X < 152400) =0.9772 -0.5

P(150000 < X < 152400) = 0.4772

P(150000 < X < 152400) = 47.7% which is close to 47.5% therefore option C is correct

3 0

2 years ago

At a local restaurant a new dinner menu is available that offers 4 courses 1 appetizer 1 salad 1 main dish and 1 dessert all for

elena-14-01-66 [18.8K]

Answer:

Number of Dinner Menu in the Restaurant = 4 =[1 appetizer+ 1 salad+ 1 main dish + 1 dessert]

Number of Different Appetizer = 6

Number of Different Salad =2

Number of Different Main Dishes = 3

Number of Different Desserts =4

Number of Different Dinner Outcomes

=[Choosing 1 appetizer among 6 appetizer] × [Choosing 1 Salad item among 2 salad Items] ×[Choosing 1 main Dish among 3 main Dishes] × [Choosing 1 dessert among 4 desserts]

=Order is not Important,so we will use the concept of combinatorics

$=_{1}^{6}\textrm{C}\times_{1}^{2}\textrm{C}\times _{1}^{3}\textrm{C} \times _{1}^{4}\textrm{C}\\\\=6 \times 2 \times 3 \times 4\\\\=144$

So, Number of Possible Dinner Outcomes = 144

5 0

2 years ago

Ryan has $25 to spend on a bouquet of flowers for Valentine’s Day! He wants the bouquet to have 4 roses. Roses cost $2.95. He al

Margaret [11]

Answer:

no ryan is wrong he can only get 10

Step-by-step explanation:

2.95*4=11.80$

25-11.80=13.20$

13.2/1.25=10.56

you can't buy .56 of a carnation, so this rounds down to 10.

10<12

5 0

2 years ago