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4 years ago

Which number represents the value of the quotient below?

1 answer:

4 0

$\dfrac{5.0\cdot10^8}{2.0\cdot10^4}=\dfrac{5}{2}\cdot10^{8-4}=\boxed{2.5\cdot10^4}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}$

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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

Pls help and tanks pls pls me

ollegr [7]

Answer:they made 14.76

Step-by-step explanation:

at the bake sale

8 0

3 years ago

Joe claims that 1/4 is of a figure is less than 1/8 of the same figure. Which statement is true?

Rainbow [258]

Answer:

I disagree with joe.

Step-by-step explanation:

1/8 of a figure is smaller than 1/4. 2/8 of a figure is the same thing as 1/4 though.

4 0

3 years ago

Find the x and y intercepts of the equation 8x+y=-9

Juliette [100K]

Answer:

see explanation

Step-by-step explanation:

To find the intercepts, that is where the graph crosses the x and y axes.

• Let x = 0, in the equation for y-intercept

• Let y = 0, in the equation for x-intercept

x = 0 : 0 + y = - 9 ⇒ y = - 9 ⇒ (0, - 9 ) ← y- intercept

y = 0 : 8x + 0 = - 9 ⇒ x = - $\frac{9}{8}$ ⇒ ( - $\frac{9}{8}$ , 0) ← x- intercept

7 0

3 years ago

30 is 150% of what number?<br> A 180<br> B 20<br> C 15<br> D 45

3241004551 [841]

Answer:

10% of 20 is 2 2x15=30

Step-by-step explanation:

5 0

3 years ago