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3 years ago

It takes Carl 2/3 of an hour to clean his room every day.How many hours did he spend cleaning his room in the month of May?

2 answers:

7 0

20 2/3 hrs or 20 hours and 40 minutes cleaning his room. There are 30 months in may, so you multiply this by 2/3 to get 20 2/3 hrs

Ipatiy [6.2K]3 years ago

5 0

There are 31 days in may so
(2/3)×31
Which equals 20.6

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Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the

Black_prince [1.1K]

Answer:

a) P(2)=0.270

b) P(X>3)=0.605

c) P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

$\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}$

a) In this case: $\lambda=2.1$

$P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270$

Therefore, the probability is P(2)=0.270.

b) In this case: $\lambda=2\cdot 2.1=4.2$

$P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605$

Therefore, the probability is P(X>3)=0.605.

c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: $\lambda=2\cdot 2.1=4.2$

$P(X\geq 5)=1-P(X$

Therefore, the probability is P=0.410.

4 0

3 years ago

Replace the? with one of following symbols (<, >, =, or) 2+3? 4+1

belka [17]

It would be the = sign because 2+3 equals 5, and so does 4+1.

6 0

3 years ago

Read 2 more answers

What percent of 72 is 9? 1/8% 1 1/4% 12 1/2% 125%

USPshnik [31]

Answer:

$12\dfrac 12\%$

Step by step explanation:

$\text{Let it be}~ x\%,\\\\~~~~~72 \cdot x \% = 9\\\\\\\implies 72\cdot \dfrac{x}{100} = 9\\\\\\\implies x = \dfrac{9 \times 100}{72}\\\\\\\implies x = \dfrac{100}{8}\\\\\\\implies x = \dfrac{25}2\\\\\\\implies x = 12 \dfrac 12\\\\\\\text{Hence 9 is}~ 12\dfrac 12\% ~ \text{of}~ 72$

4 0

2 years ago

10x + 19y = -11 in slope intercept form

cluponka [151]

10x + 19y = -11
19y = -10x - 11
y = -10/19x - 11/19 <===

6 0

2 years ago

Read 2 more answers

You and three friends go to a baseball game. You each pay $2 for a drink and x dollars for nachos. Use the Distributive Property

BabaBlast [244]

Answer:

The simplified expression for the total amount the group pays is (6 + 3·x) dollars

Step-by-step explanation:

The given parameters are;

The number of friends that went to the baseball game = 3

The amount each paid for a drink = $2

The amount each paid for nachos = x dollars

Therefore, the amount each spend = $2 + x dollars

The total amount the three friends spend = 3 × ($2 + x dollars)

By distributive property is given as follows;

a × (b + c) = a × b + a × c

a × (b - c) = a × b - a × c

Given that a, b, and c are real numbers

Therefore;

The total amount the three friends spend = 3 × ($2 + x dollars) = 3 × $2 + 3 × x dollars

The total amount the three friends spend = 3 × $2 + 3 × x dollars

The simplified expression for the total amount the group pays = $(6 + 3·x) = (6 + 3·x) dollars.

4 0

2 years ago