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stiks02 [169]
2 years ago
8

Problem 1 - Help me, please.

Mathematics
1 answer:
tatiyna2 years ago
6 0

Answer:

c) 125

Step-by-step explanation:

1^5 = 1

3^4 = 81

5^3 = 125

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Miyoko's goal is to earn more than \$950$950dollar sign, 950 this week. She earns \$250$250dollar sign, 250 for every day she wo
GrogVix [38]

$250 c+ $ 180 g > $ 950

<u>Step-by-step explanation:</u>

As a cryptographer (c), Miyoko earns per day = $ 250

As a geologist (g) , Miyoko earns per day = $ 180

So the equation comes to be $250 c+ $ 180 g = $ 950

The equation can be rewritten to find c as, (950-180 g) / 250

The equation can be rewritten to find g as, (950 - 250 c) / 180

Plugin different values of c and g in the above 2 equations, we can find that ,

To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.

5 0
2 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.

4 0
3 years ago
The surface area of a rectangular prism is 208 cm2. Two of the dimensions are 2cm and 10cm. Find the measure of the other dimens
aliina [53]

Answer:

7 cm

Step-by-step explanation:

SA = 208 cm^2

SA= 2*a*b + 2*a*c + 2*b*c

where:

a= first dimension = 2 cm

b= second dimension = 10 cm

c= third dimension

so we have:

208= 2*2*10 + 2*2*c + 2*10*c

208= 40 + 4c + 20c

208-40= 24c

168=24c

c =168/24

c = 7cm = third dimension

3 0
2 years ago
Does the following infinite series converge or diverge?
Vladimir79 [104]
The nth term is (presuming the denominator on the first is a typo)

-\dfrac{n}{(-3)^n}

The ratio of successive terms is

\dfrac{ \frac{n+1}{(-3)^(n+1)}}{\frac{n}{(-3)^n}} = \frac{n+1}{-3n}

The limit is -1/3, absolute value less than 1, so the series converges.  It has a sum -- that's what converges means.

7 0
3 years ago
Help me please? I need this really badly?
muminat

Answer:

2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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