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Naily [24]
3 years ago
12

Jessica earns 800 each month working a part time job. she wants to save a total of 2,400 for collage over a one- year period. wh

at percentage of Jessica's total monthly budget should go to her collage savings to meet her goal
Mathematics
1 answer:
Simora [160]3 years ago
5 0

Answer:

25%

Step-by-step explanation:

Given parameters:

Amount earned per month = 800

Her savings goal = 2400

Unknown:

Percentage of monthly income that must go into savings = ?

Solution:

In a year, Jessica will earn:

          12(800) = 9600

Now;

      To earn 2400;

 Let y be the percentage of her earning that goes into saving per year;

         2400 = \frac{y}{100} x 9600

         2400 = 96y

               y = 25%

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About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil
Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0
3 years ago
Hi uwu pls help me?? i really need it :'( dont make me cry
densk [106]

Answer:

4z-(3z) z

Step-by-step explanation:

I hope that helps

8 0
3 years ago
Pls tell me some answers for this
devlian [24]

Answer:

∠B ≈ 56.25°

Step-by-step explanation:

Since the triangle is right use the cosine ratio to solve for B

cosB = \frac{adjacent}{hypotenuse} = \frac{BC}{AB} = \frac{5}{9}, thus

B = cos^{-1}(\frac{5}{9} ) ≈ 56.25°

3 0
3 years ago
Read 2 more answers
The hours a week people spend answering and sending emails is normally distributed with a standard deviation of Ï = 150 minutes.
storchak [24]

Answer:

sample size n would be 149305 large

Value of n (149305) is too high, this will be the practical problem with attempting to find this confidence interval

Step-by-step explanation:

Given that;

standard deviation α = 150 min

confidence interval = 99%

since; p( -2.576 < z < 2.576) = 0.99

so z-value for 99% CI is 2.576

E = 1 minutes

Therefore

n = [(z × α) / E ]²

so we substitute

n = [(2.576 × 150) / 1 ]²

n = [ 386.4 ]²

n = 149304.96 ≈ 149305

Therefore sample size would be 149305 large

Value of n is too high, that would be the practical problem with attempting to find this confidence interval

4 0
2 years ago
I don’t know how to show it in a equation
larisa86 [58]
What question number?

7 0
3 years ago
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