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Troyanec [42]
3 years ago
15

each course at college x is worth either 3 or 4 credits. The members of the men's swim team are taking a total of 53 courses tha

t are worth 174 credits. How many 3-credit courses and how many4-credit courses are being taken?
Mathematics
1 answer:
shusha [124]3 years ago
4 0
I can’t figure this one out
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The bakers at the healthy bakery can make 160 bagels in 10 hours how many bagels contain make in 16 hours
Oxana [17]

Answer:

256

Step-by-step explanation:

divide 160 by 10 to get the bagels per hour then times 16

3 0
2 years ago
Determine algebraically all points where the graphs of XY equal 10 and Y equals X +3 intersect
Gelneren [198K]
XY=10
Y=X+3
X(X+3)=10
X^2+3X=10
X^2+3X-10
(X-2)(X+5)
6 0
3 years ago
Choose the correct answer for each of the following questions Find the y-intercept for following equation F(X)=-(X+1)^21- -12- -
devlian [24]

Solution

Find the y-intercept for following equation:

f(x)=-(x+1)^2

Using the slope equation formular:

\begin{gathered} y=mx+c \\ f(x)=-(x+1)^2 \\ f(x)=-x^2-2x-1 \end{gathered}

The value of y when x = 0

\begin{gathered} f(0)=-0^2-2(0)-1 \\ y=-1 \end{gathered}

Hence the answer is - 1

7 0
1 year ago
There are 48 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time
Stella [2.4K]

Answer:

a) 64.06% probability that he is through grading before the 11:00 P.M. TV news begins.

b) The hardness distribution is not given. But you would have to find s when n = 39, then the probability would be 1 subtracted by the pvalue of Z when X = 51.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n trials, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 48, \mu = 48*5 = 240, s = 4\sqrt{48} = 27.71

These values are in minutes.

(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?

From 6:50 PM to 11 PM there are 4 hours and 10 minutes, so 4*60 + 10 = 250 minutes. This probability is the pvalue of Z when X = 250. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{250 - 240}{27.71}

Z = 0.36

Z = 0.36 has a pvalue of 0.6406

64.06% probability that he is through grading before the 11:00 P.M. TV news begins.

(b) What is the (approximate) probability that the sample mean hardness for a random sample of 39 pins is at least 51?

The hardness distribution is not given. But you would have to find s when n = 39(using the standard deviation of the population divided by the square root of 39, since it is not a sum here), then the probability would be 1 subtracted by the pvalue of Z when X = 51.

5 0
2 years ago
Qual o resultado da expressão 2m elevado a 2-5m+3,para m=3?
ipn [44]
The answer is m=4 because -3+2+5
7 0
3 years ago
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