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2 years ago

8

And Louisa bakes a batch of brownies she is 1/2 cup of chocolate. If she has 3/2 cups of chocolate remaining how many batches of

Brownies can Louisa make.

1 answer:

EastWind [94]2 years ago

8 0

If she can make 1 batch with 1/2 then with 3/2 she can make 3 batches

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The ratio of sweaters to dresses that Jennifer has is 8:5. If

melomori [17]

Answer:

Ratio of sweaters to dresses = 8 : 5

Sum of ratios = 13

Let number of sweater + dresses = x

$number \ of \ sweaters = \frac{8}{13} *x\\\\24 = \frac{8}{13}*x\\\\x = \frac{24*13}{8} = 3*13 = 39$

$number \ of \ dresses = 39 - 24 = 15$

8 0

2 years ago

A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute

nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

$P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}$

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

$P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301$

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

$P(k\geq8)=1-P(k$

$P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\$

$P(k$

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

$P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002$

5 0

2 years ago

Mike travels 13 miles per 2 hours on his bike.

LiRa [457]

Answer:

It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?

Solution

We are given that it takes 1/2 an hour for the trip. This is a time:

t = 1/2

We are given that he averages 34 miles per hour. This is a rate:

r = 34

We are asked how few he has traveled. This is a distance. We use the d=rt equation:

d = rt

= (34)(1/2)

= 17

Markus lives 17 miles from work.

Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.

Exercise 1

The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?

Step-by-step explanation:

4 0

2 years ago

Find the solution to the inaquality<br> N+35<22

NikAS [45]

Step-by-step explanation:

$N + 35 < 22$

To find a solution to this inequality, we need to get $N$ to one side of the equation by itself. Since we have $N + 35$ on the left-hand side of the equation, we can get

$N + 35 < 22$

$N + 35 - 35 < 22 - 35$

$N < -13$

7 0

2 years ago

Read 2 more answers

Biologist created the following graph to show the relationship between the temperature of water x, and degrees Celsius, and the

PtichkaEL [24]

There is no graph but if I had to guess then I would go with answer choice C

Hope this helps!

5 0

2 years ago

Read 2 more answers