Which is not a zero of the following function!? f(x)=x3+3x2-x-3

Suppose A = {2,5,7,9,13, 25, 26). (a) Find n(A). n(A) = (b) T/F: 7. A

charle [14.2K]

Answer:

a) n (A) = 7

Step-by-step explanation:

Here, set A = {2,5,7,9,13, 25, 26)

Noe, for any set A,

n (A) is defined as he total number of elements in the set A.

or, n(A) = CARNALITY OF SET A

Here,the number of elements in set A = 7

⇒ n (A) = 7

6 0

3 years ago

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

3 years ago

Please help i’m finding this hard

pav-90 [236]

Answer:

Area for Shape p is 12, the name for the shape q is a rhombus.

Step-by-step explanation:

The shape p is a triangle for if you find the height of the shape which is 6 and the length of the base which is 4 multiply them together then divide by 2 to get the area.

8 0

3 years ago

How far apart are the 2 cities? See picture. Show steps

Gennadij [26K]

9514 1404 393

Answer:

373 miles

Step-by-step explanation:

The difference in latitude is ...

39.1° -33.7° = 5.4° = 0.54°(π/180°) radians = 0.03π radians

The arc length is given by ...

s = rθ, where θ is the angle in radians

The length of the arc along the longitude line is ...

s = (3960 mi)(0.03π) ≈ 373 mi

The distance from Atlanta to Cincinnati is about 373 miles.

6 0

3 years ago

The vocbulary of adding and subtracting radicals

motikmotik

Adding and subtracting radical expressions.

7 0

3 years ago