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3 years ago

The graph of part of linear function h is shown on the grid.

Mathematics

1 answer:

allsm [11]3 years ago

7 0

Answer:

– 5 ≤ x < 3

Step-by-step explanation:

NOTE: The domain is all posible values indicated on the x-axis.

From the graph given in question above, it is evident that x lies between – 5 and 3.

A careful observation of the graph reveals that x is less than or equal to – 5 (i.e x ≤ – 5) since the tip of the line indicating that x is – 5 is shaded. On the other hand, x is less than 3 ( ie x < 3) since the tip of the line indicating that x is 3 is not shaded.

Thus, we say that:

x ≤ – 5

x < 3

Combining the above expression together, we have

– 5 ≤ x < 3

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Suppose a three-seat city council election. For each seat, one progressive and one conservative is running, and voters must choo

Kitty [74]

Answer:

The probability that conservative party wins all 3 seats is 0.216

The probability that conservative party wins exactly two seats is 0.432

Step-by-step explanation:

Consider the provided information.

The probability of a conservative candidate winning is p=0.6.

The probability of one progressive candidate will win is: 1-0.6=0.4

Part (a) What is the probability that the conservative party wins all three seats?

According to binomial distribution: $b(x; n, p) =^nC_xp^x(1- p)^{n-x}$

$P(x=3) =^3C_3(0.6)^3 (0.4)^{3-3}$

$P(x=3) =(0.6)^3$

$P(x=3)=0.216$

P(conservative party wins all 3 seats) = 0.216

Hence, the probability that conservative party wins all 3 seats is 0.216

Part (a) What is the probability that the conservative party wins exactly two seats?

$P(x=2) =^3C_2(0.6)^2 (0.4)^{3-2}$

$P(x=2) =3(0.36)(0.4)$

$P(x=2) =0.432$

Hence, the probability that conservative party wins exactly two seats is 0.432

5 0

3 years ago

The Rogers Park cafeteria sells veggie pizza and cheese pizza. Today they sold 25 pizzas at lunch. They sold seven more cheese p

MA_775_DIABLO [31]

Let the number sold of veggie pizza be a
The number sold of cheese pizza be b
a+b=25…1
A+7=b…2

Sub 2 into 1
a + a+7 = 25
2a+7=25
2a=18
a=9

Sub a=9 into 2
9+7=b
b=16

They sold 9 veggie pizza and 16 cheese pizza

8 0

3 years ago

Compare adding unlike fractions and adding like fractions

muminat

Answer:

We just add numerators and rewrite denominator.

Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

Step-by-step explanation:

You mean unlike denominators and like denominators.

Adding like dominators: We just add numerators and rewrite denominator :

Example : $\frac{1}{4} +\frac{2}{4}=\frac{1+2}{4} =\frac{3}{4}$