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Zepler [3.9K]
3 years ago
5

At Wallys school 30% of the student are in 8th grade if there are 470 students total find the number of 8th grade students

Mathematics
2 answers:
kiruha [24]3 years ago
4 0
30%*470=141 (So the number of students in 8 grade is 141)

9966 [12]3 years ago
3 0
To find 30% of 470 students we want to do 470*0.30. The 0.30 is the decimal format of 30% because you move the decimal twice to the left. And the asterisk (*) represents multiplication.

When you do 470*0.30 you get 141 students 

Hope this helps.
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Kelsey made 9 3/5 pounds of Chex mix. If she puts 4 4/5 pounds into each bag, how many bags can Kelsey fill?
vichka [17]
9.6/4.8= 2

Kelsey can fill 2 bags of Chex mix.

Hope this helps!
3 0
3 years ago
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?
kramer

Answer:

y = 1/12 (x − 5)²

Step-by-step explanation:

We can solve this graphically without doing calculations.

The y component of the focus is y = 3.  Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient.  That narrows the possible answers to A and C.

The x component of the focus is x = 5.  Since this is above the vertex, we know the x component of the vertex is also x = 5.

So the answer is A. y = 1/12 (x−5)².

But let's say this wasn't a multiple choice question and we needed to do calculations.  The equation of a parabola is:

y = 1/(4p) (x − h)² + k

where (h, k) is the vertex and p is the distance from the vertex to the focus.

The vertex is halfway between the focus and the directrix.  So p is half the difference of the y components:

p = (3 − (-3)) / 2

p = 3

k, the y component of the vertex, is the average:

k = (3 + (-3)) / 2

k = 0

And h, the x component of the vertex, is the same as the focus:

h = 5

So:

y = 1/(4×3) (x − 5)² + 0

y = 1/12 (x − 5)²

3 0
2 years ago
There are 10 balls in an urn, numbered from 1 to 10. If 5 balls are selected at random and their numbers are added, what is the
Kisachek [45]

Let B_i denote the value on the i-th drawn ball. We want to find the expectation of S=B_1+B_2+B_3+B_4+B_5, which by linearity of expectation is

E[S]=E\left[\displaystyle\sum_{i=1}^5B_i\right]=\sum_{i=1}^5E[B_i]

(which is true regardless of whether the X_i are independent!)

At any point, the value on any drawn ball is uniformly distributed between the integers from 1 to 10, so that each value has a 1/10 probability of getting drawn, i.e.

P(X_i=x)=\begin{cases}\frac1{10}&\text{for }x\in\{1,2,\ldots,10\}\\0&\text{otherwise}\end{cases}

and so

E[X_i]=\displaystyle\sum_{i=1}^{10}x\,P(X_i=x)=\frac1{10}\frac{10(10+1)}2=5.5

Then the expected value of the total is

E[S]=5(5.5)=\boxed{27.5}

8 0
2 years ago
Find the quotient. Write your answer as a decimal.<br> 12.42 divided by (-4.8) =
MakcuM [25]

Answer:

Multiply the divisor by a power of 10 to make it a whole number.

Multiply the dividend by the same power of 10. Place the decimal point in the quotient.

Divide the dividend by the whole-number divisor to find the quotient.

7 0
2 years ago
What’s the product of (-3)(-1)
Vlad1618 [11]

Answer:

-4

Step-by-step explanation:

negative plus a negative means add

You add the number then keep the negative sign

6 0
2 years ago
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