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3 years ago

Which one is for inverse tangent?

Mathematics

2 answers:

ELEN [110]3 years ago

8 0

Answer:

Step-by-step explanation:

i looked at my chart

Elina [12.6K]3 years ago

6 0

Answer:

Step-by-step explanation:

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In regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample point the sample space S for

Minchanka [31]

Answer:

i) There are 40320 possible orders

ii) There are 336 possible orders for the first 3 positions.

Step-by-step explanation:

Given: The number of finalists = 8

The number of boys = 3

The number of girls = 5

To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!

The number of possible orders = 8!

= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8

= 40320

ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.

nPr = $\frac{n!}{(n - r)!}$

Here n = 8 and r = 3

Plug in n =8 and r = 3 in the above formula, we get

8P3 = $\frac{8!}{(8 - 3)!}$

= $\frac{8!}{5!} \\= \frac{1.2.3.4.5.6.7.8}{1.2.3.4.5}$

= 6.7.8

= 336

So there are 336 possible orders for the first 3 positions.

3 0

3 years ago

PLZZZZZZ HELPPPPP

Makovka662 [10]

Answer:

(D)

Step-by-step explanation:

The graph shows the arm span lengths of the students, clearly we can see that the most of the students have arm span length in the initial points of the length.

Median = Middle frequency of the data. Here, median will be the length in the middle.

Mode = Most frequently occurring number in the data. Here the mode will be the length which most of the students has.

Clearly, most of the student has the length in the initial inches while the median will be in the middle.

Hence, mode will be less than the median.

8 0

3 years ago

Read 2 more answers

−1.4+(−2.6+3.8)=(−1.4+(−2.6))+3.8 what property is this?

Troyanec [42]

This is the Associative Property of Addition.

3 0

3 years ago

Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual

Stells [14]

Answer:

(a) P( A ∩ B )=0.5 is not possible.

(b) 0.7

(d) 0.3

(e) 0.4

Step-by-step explanation:

Given information: The alphabet A and B represents the following events

A : Individual has a Visa credit card.

B: Individual has a MasterCard.

P(A)= 0.6 and P(B)=0.4.

(a)

We need to check whether P( A ∩ B ) can be 0.5 or not.

$A\cap B\subset A$ and $A\cap B\subset B$

$P(A\cap B)\leq P(A)$ and $P(A\cap B)\leq P(B)$

$P(A\cap B)\leq 0.6$ and $P(A\cap B)\leq 0.4$

From these two inequalities we conclude that

$P(A\cap B)\leq 0.4$

Therefore, P( A ∩ B )=0.5 is not possible.

(b)

Let $P(A\cap B)=0.3$

We need to find the probability that student has one of these two types of cards.

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Substitute the given values.

$P(A\cup B)=0.6+0.4-0.3=0.7$

Therefore the probability that student has one of these two types of cards is 0.7.

(c)

We need to find the probability that the selected student has neither type of card.

$P(A'\cup B')=1-P(A\cup B)$

$P(A'\cup B')=1-0.7=0.3$

Therefore the probability that the selected student has neither type of card is 0.3.

(d)

The event that the select student has a visa card, but not a mastercard is defined as

$A-B$

It can also written as

$A\cap B'$

The probability of this event is

$P(A\cap B')=P(A)-P(A\cap B)$

$P(A\cap B')=0.6-0.3=0.3$

Therefore the probability that the select student has a visa card, but not a mastercard is 0.3.

(e)

We need to find the probability that the selected student has exactly one of the two types of cards.

$P(A\cap B')+P(A\cap B')=P(A\cup B)-P(A\cap B)$

$P(A\cap B')+P(A\cap B')=0.7-0.3$

$P(A\cap B')+P(A\cap B')=0.4$

Therefore the probability that the selected student has exactly one of the two types of cards is 0.4.

8 0

3 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

mamaluj [8]

Answer:

y = -⅛(x - 3)² + 3

Step-by-step explanation:

(x - h)² = 4p(y - k)

h = 3

k + p = 1

k - p = 5

2k = 6

k = 3

p = -2

(x - 3)² = 4(-2)(y - 3)

(x - 3)² = -8(y - 3)

y = -⅛(x - 3)² + 3

3 0

4 years ago