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ale4655 [162]
3 years ago
10

Jill incorrectly subtracted the two mixed numbers to find how much more blue fabric than purple fabric she should buy. Her work

is shown below.
4 1 third - 3 2 third = 12 thirds - 9 thirds


Why is Jill's work incorrect?
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0
41-32=9
12-9=3

9 is not equal to 3
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Solve the equation.<br><br> −t\4=−3π
vampirchik [111]

we have

-\frac{t}{4} =-3\pi

solve for t

Multiply by -4 both sides

-\frac{t}{4}*(-4) =-3\pi*(-4)

t=12\pi

therefore

<u>the answer is</u>

t=12\pi

7 0
3 years ago
Read 2 more answers
Can someone help with this? You dont really have to solve it (I mean you can if you want to....) But if not, can someone explain
sukhopar [10]

Answer:

43

Step-by-step explanation:

3 0
3 years ago
A school newspaper reporter decides to randomly survey 17 students to see if they will attend Tet (Vietnamese New Year) festivit
Leni [432]

There is a typing mistake in part (d) of the question. Original question states that total student are 17. In part (d) it asks out of 12 which I think is a mistake as total is 17. Therefore, I am finding the answers with total students as 17. In case if the total is 12 then by just replacing 17 with 12 we can find the answer.

 

Answer:

All the answers and explanations are given below.

Step-by-step explanation:

(a)

The random variable X will be defined as the number of students who will attend the Tet (Vietnamese New Year) festivities this year.

(b)

As X is the number of students so it can take any value from 0 to 17. This means that when X = 0, 0 student will attend the Tet (Vietnamese New Year) festivities this year. Similarly if X = 17, all 17 students will attend the Tet (Vietnamese New Year) festivities this year. It can only take whole number values because its the  number of students.

(c)

X follows Binomial distribution with probability of success = 23% (success defined as attending the festivities).

n = 17 (total number of students)

p = 23% = 0.23 (probability of success)

X ~ Binomial (17, 0.23)

(d)

The number can be found out by  n*p

n = 17

p = 0.23

np =  3.91

(e)

Using binomial cdf function in the calculator or any Binomial Probability Calculator  online we can find

P(X ≤ 4) = 0.65

<em>This means at most the value can be 4. So the we need to find probability of less than or equal to 4.</em>

(f)

To find probability of more than 2 students  we first find probability of less than and equal to 2 students and then subtract it from the total probability which is 1.

P(X ≤ 2) = 0.214

P(X>2) = 1 - 0.214

P(X>2) =  0.786

8 0
3 years ago
A spinner has 4 equal sections: red, white, blue, and green. John spins the spinner and tosses a
Nataliya [291]

Answer:

Step-by-step explanation:

The sample space should show all the possible outcomes.

The first option includes all 4 colors and both head and tails.

The second option is missing tails as an outcome.

The third option is missing blue.

The fourth option is missing tails.

So it must be the first one.

8 0
3 years ago
Find a power series representation for the function. (give your power series representation centered at x = 0. ) f(x) = ln(5 − x
klio [65]

Recall that for |x|, we have the convergent geometric series

\displaystyle \sum_{n=0}^\infty x^n = \frac1{1-x}

Now, for \left|\frac x5\right| < 1, we have

\dfrac1{5 - x} = \dfrac15 \cdot \dfrac1{1 - \frac x5} = \dfrac15 \displaystyle \sum_{n=0}^\infty \left(\frac x5\right)^n = \sum_{n=0}^\infty \frac{x^n}{5^{n+1}}

Integrating both sides gives

\displaystyle \int \frac{dx}{5-x} = C + \int \sum_{n=0}^\infty \frac{x^n}{5^{n+1}} \, dx

\displaystyle -\ln(5-x) = C + \sum_{n=0}^\infty \frac{x^{n+1}}{5^{n+1}(n+1)}

If we let x=0, the sum on the right side drops out and we're left with C=-\ln(5).

It follows that

\displaystyle \ln(5-x) = \ln(5) - \sum_{n=0}^\infty \frac{x^{n+1}}{5^{n+1}(n+1)}

or

\displaystyle \ln(5-x) = \boxed{\ln(5) - \sum_{n=1}^\infty \frac{x^n}{5^n n}}

3 0
2 years ago
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