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3 years ago

James and Brandon both bought a drink from the store. James drank 3/4 of his drink. How many eights did brandon drink?

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Answer:

6/8

Step-by-step explanation:

3/4.

3×2=6.

4×2=8.

6/8.

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Get unknowns on one side and know on other side.

Divide both sides by -2
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3 years ago

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.

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3 years ago

Please help! The volume of an inflated spherical water balloon is 121,500 pi millimeters to the third. What is the radius of the

irga5000 [103]

Answer:

The radius of the inflated spherical balloon is 45 millimeters.

Step-by-step explanation:

Volume of the spherical water balloon = 121,500 pi cubic millimeters

Let the radius of the balloon = r

Now, Volume of a Sphere = $\frac{4}{3} \pi r^{3}$

⇒ $\frac{4}{3} \pi r^{3} = 121,500 \pi$

On solving for the value of r, we get:

$r^{3} = \frac{121,500\times 3}{4} = 91125\\ \implies r = \sqrt[3]{91125}$

or, r = 45 millimeter

Hence, the radius of the inflated spherical balloon is 45 millimeters.

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4 years ago

Jake has a pocket full of dimes and quarters. The total value of his change is $2.05. Let D D represent the number of dimes, and

m_a_m_a [10]

Let A be the number of Dimes & B the number of Quarters, the linear equation is as follows:
A.D+B.Q=2.05

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3 years ago

1. How far is KFC from RCBC Savings Bank? 2. How far is BaliwagLetchon Manok from RCBC Savings Bank? 3. How far is Baliwag Lecho

umka21 [38]

Answer:

Following are the solution to the given question.

Step-by-step explanation:

Please find the graph file and its solution in the attachment.

$4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\$

Similarly:

$3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\$

For point 1: $\to KR=4x-15= 4\times 43-15=172-15=157$

For point 2: $\to BR=2y+50= 2\times 43+50=86+50=136$

For point 3: $\to BE=KR=157$

For point 4: $\to Kf=BR=130$

For point 5: $\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}$

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3 years ago

James and Brandon both bought a drink from the store. James drank 3/4 of his drink. How many eights did brandon drink?​

James and Brandon both bought a drink from the store. James drank 3/4 of his drink. How many eights did brandon drink?