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soldier1979 [14.2K]
3 years ago
12

Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo

nthly charge of $70. Last month, Samantha paid a total of $880 to the preschool center. Let d represent the number of days Barry spent at the preschool center last month. Which equation represents this situation, and how many days did Barry attend preschool last month?
A. 880 = 90d + 45; 9 days

B. 880 = 70d - 45; 21 days

C. 810 = 45d; 19 days

D. 880 = 45d + 70; 18 days
Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer: Option D

D. 880 = 45d + 70; 18 days

Step-by-step explanation:

We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.

We also know that a total of $ 880 was paid last month

To write an equation that represents this situation, let us call d the number of days that Barry attends school

So the cost was:

45d + 70 = 880

Now we solve the equation for the variable d

45d= 880-70

45d= 810

d= \frac{810}{45}

d= 18\ days

The answer is the option D

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the letter "T" makes up an estimated 8% of a certain language. Assume this still correct. A random sample of 1000 letters is tak
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Answer:

0.242

Step-by-step explanation:

p = 0.08, q = 1 − p = 0.92, and n = 1000.

The mean and standard deviation are:

μ = p = 0.08

σ = √(pq/n) = 0.00858

The z score is:

z = (x − μ) / σ = -0.70

Using a calculator or z score table, the probability is:

P(Z < -0.70) = 0.242

8 0
3 years ago
Do one of the​ following, as appropriate.​ (a) Find the critical value z Subscript alpha divided by 2​, ​(b) find the critical v
aliya0001 [1]

Answer:

t=\pm 2.95

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The t distribution or Student’s t-distribution is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

Data given

Confidence =0.99 or 99%

\alpha=1-0.99=0.01 represent the significance level

n =16 represent the sample size

We don't know the population deviation \sigma

Solution for the problem

For this case since we don't know the population deviation and our sample size is <30 we can't use the normal distribution. We neeed to use on this case the t distribution, first we need to calculate the degrees of freedom given by:

df=n-1=16-1=15

We know that \alpha=0.01 so then \alpha/2=0.005 and we can find on the t distribution with 15 degrees of freedom a value that accumulates 0.005 of the area on the left tail. We can use the following excel code to find it:

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3 years ago
Help!!!!!!!!!!!!!!!!
Nesterboy [21]

Answer:

for Mr farley I got 70 and for Mr samuels I got also 70 and there is no difference because they both have the same mean I hope I helped

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2 years ago
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vagabundo [1.1K]

Answer:

The correct option is d) convenience sample

Step-by-step explanation:

In statistics, we use different sampling techniques to gather a chunk of sample data from a very large population.

There are many sampling techniques and out of them one is convenience sampling.

Convenience Sampling:

The convenience sampling is defined as the sample data which is readily and conveniently available.

Examples:

1. Asking people questions at a place that is convenient for you.

2. Asking your friends or family members

3. A college student asking for student's opinion at the college who is surveying for his thesis.

In the given scenario, Kristen Ashford has list of 5,000 subscribers for Wind Surfing magazine. She chooses the first 100 of the 5,000 names, this is clearly a convenient sample since the sample is easily, readily and conveniently available.

If she had selected 100 names randomly then it would have been called random sampling but in this case, she simply selected the first 100 names for the sake of convenience therefore, it is a convenience sample.

7 0
3 years ago
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olga nikolaevna [1]
35. You have to plug in all the numbers to the matching variables and solve.
8 0
3 years ago
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