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3 years ago

The school chorus has has 52 students, which represents 26% of the seventh graders. How many students are in the seventh grade?

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

6 0

200 students 52/200 x 100 = 52%

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Suppose you are repeating a classic study of starfish and their impact on the ecosystems of tide pools. Using historic data coll

Travka [436]

Answer:

The probability of the number of starfish dropping below 3 is 0.0463.

Step-by-step explanation:

Let X represent the number of starfish in the tide pool.

X follows a Poisson distribution with mean 6.4.

The formula for Poisson distribution is as follows.

$P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...$

$P(X = x) = 0$ otherwise

We need to find the probability that the number of starfish in the tide pool drops below 3.

Therefore, the required probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)

$P(X < 3) = e^{-6.4} + (e^{-6.4}*6.4) + (e^{-6.4}*6.4^{2}/2)$

P(X < 3) = 0.00166 + 0.01063 + 0.03403

P (X < 3) = 0.0463

4 0

4 years ago

Ryan decided to ride his bicycle X times around the neighborhood. His best friend

WITCHER [35]

5x + 8

easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

3 0

3 years ago

(a^2-ax+bx-ab)/(a^2+ax-bx-ab)*(a^2+ax+ab+bx)/(a^2-ax-ab+bx)

Vanyuwa [196]

$\frac{a^2-ax+bx-ab}{a^2+ax-bx-ab} \cdot \frac{a^2+ax+ab+bx}{a^2-ax-ab+bx} = \frac{1}{a(a+x)-b(x+a)} \cdot (a(a+x)+b(a+x)) = \frac{1}{a-b} \cdot (a+b) = \frac{a+b}{a-b}.$

8 0

3 years ago

The equation for a parabola has the form y=ax2+bx+c, where a, b, and c are constants and a≠0. find an equation for the parabola

IRISSAK [1]

The equation of parabola is

$y= ax^2 + bx +c$

For point (-1,-9), equation of parabola is

$-9 = a(-1)^2 +b(-1)+c
\\
-9 = a -b+c$

For point (1,7), equation of parabola is

$7 = a(1)^2 + b(1)+c
\\
7 = a + b +c$

For point (-6,-14), equation of parabola is

$-14 = a(-6)^2 +b(-6)+c
\\
-14 = 36a -6b +c$

So we have three equations , which are

$a - b + c =-9,
\\
a + b + c = 7
\\
36a -6b+c = -14$

Subtracting first two equation will give

$-2b = -16
\\
b=8$

Subtracting second and third equation gives

$a+b+c-36a+6b-c = 7+14
\\
-35a +7b = 21
\\
-5a + b =3$

Substituting 8 for b, we will get

$-5a + 8 =3
\\
-5a = -5
\\
a =1$

back substituting 8 for b and 1 for a, we will get

$1+8+c = 7
\\
c = -2$

So we have

$a=1, b=8 and c=-2$

Therefore required equation is

$y= x^2 +8x-2$

7 0

3 years ago

Bo bought a few items for $93.84, not including tax. If the tax rate was 7%, what was the total cost of these items, including t

notsponge [240]

Answer:

Total cost is $100.41 ( $93.84 + $6.57)

Step-by-step explanation:

Thinking Point: The total cost is the cost of the items PLUS the tax. 93.84 ∙ 0.07 = 6.5688 (round to “cents”) = $6.57

Hope this helped!

4 0

3 years ago

Read 2 more answers