CAN SOMEONE PLEASE HELP ME!!!

Mathematics

2 answers:

katen-ka-za [31]2 years ago

8 0

<h3>Answer: <em>C</em> is correct</h3>

Step-by-step explanation: It states that the median is 90. The median is when you put all our numbers from least to greatest and the number in the middle is your median. Luckily, they already did that in your graph and we see the middle number is 90. Hope this helps :)

Novosadov [1.4K]2 years ago

6 0

Answer:

the answes are C and D

Step-by-step explanation:

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At Prairieview Middle School, 100 students participate in at least one of three after-school clubs: soccer club, art club, and g

Tresset [83]

Answer:

Step-by-step explanation:

Number of students in soccer club, n(S) = 50

Number of students in Art club, n(A) = 53

Number of students in Gaming club, n(G)

n( $S \cup A\cup G$ ) = 100

n( $S \cap A\cap G$ ) = 9

n( $S \cap A$ ) = 20

n( $A \cap G$ ) = 35

n( $G \cap S$ ) = 29

Formula:

n ( A ∪ B ∪ C ) = n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )

Putting the values:

100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9

100 = 112 + n(G) - 84

n(G) = 72

Number of students in gaming club only = n(G) - n( $G \cap S$ ) - n( $A \cap G$ ) + n( $S \cap A\cap G$ )

= 72 - 35 - 29 + 9

= <em>17</em>

6 0

2 years ago

Evaluate the definite integral using the graph of f(x)<br> (Image included)

Tanya [424]

a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

$\displaystyle \int_0^3 f(x) \, dx = \frac12 \times 3 \times 5 = \boxed{\frac{15}2}$

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

$\displaystyle \int_3^5 f(x) \, dx = \int_3^4 f(x) \, dx + \int_4^5 f(x) \, dx = \int_3^4 f(x) \, dx - \int_3^4 f(x) \, dx = \boxed{0}$