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2 years ago

How much is f(10) if f=x^2-2

Mathematics

1 answer:

dangina [55]2 years ago

8 0

To find this value, simply substitute the number 10 in for x in your equation:

$f(x) = x^2 - 2$

$f(10) = 10^2 - 2 = \boxed{98}$

The answer is 98.

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A distrubutor shipped 3/4 of a cheese order that was to be distributed equally between 3 pizza restaurants. What fractional part

romanna [79]

Let's say there are 12 boxes of cheese in the original order. Draw a table with 4 rows and 3 columns. Shade exactly 3 of the rows (the entire row). So you should shade in 9 boxes total with 3 left unshaded.

Those 9 shaded boxes are then distributed equally among the 3 restaurants. So each restaurant gets 9/3 = 3 boxes

Comparing those 3 boxes to the original 12 forms the fraction: 3/12 = 1/4

So each restaurant gets 1/4 of the original order

Answer: 1/4

Note: another way to do this is to multiply 1/3 by 3/4 to get 1/4

5 0

3 years ago

The dingram shows a spinner innde up of a picce of card in the shape of a regular pentagon, with a toothpick pushed through its

Anastaziya [24]

Answer:

a) $P(X \leq 3) = 0.99328$

b) 0.6957

Step-by-step explanation:

Let X represent the number of 4's when n = 5 independent spins

each has a probability of 0.2 (i.e p = 0.2)

This notation is represented as:

X $\approx$ Binomial (n = 5, p = 0.2)

Probability of $x$ number of 4's is:

$P(X=x)= (\left \ n \atop x \right) p^x (1-p)^{(n-x)}$

here; $(\left \ n \atop x \right)$ is the combinatorial expression

$(\left \ n \atop x \right)$ = $\frac{n!}{x!(n-x)!}$

$P(X \leq3), n =5 , p = 0.2$

$P(X \leq3) = 1-P(X > 3)$

So; let's first find:

$P(X > 3)$

$= P(3$

$P(X = 4) =( \left \ {{5} \atop {4}} \right. ) (0.2)^4 (1-0.2)^1 \\ \\ P(X = 4) = 5(0.2)^4(0.8)^1 \\ \\ P(X = 4) = 0.0064$

$P(X = 5) =( \left \ {{5} \atop {5}} \right. ) (0.2)^5 (1-0.2)^0 \\ \\ P(X = 5) = 5(0.2)^5(0.8)^0 \\ \\ P(X = 5) = 0.00032$

$P (X=4)+P(X = 5 ) \\ \\ = 0.0064 + 0.00032 = 0.006720 \\ \\ \approx 0.007$

$P(X > 3 ) = 0.00672 \\ \\ P(X \leq 3) = 1- P(X > = 3 ) \\ \\ =1 - 0.00672 \\ \\ = 0.99328$

$P(X \leq 3) = 0.99328$

Given that:

The ratio of boys to girls at birth in Singapore is quite high at 1.09:1

What proportion of Singapore families with exactly 6 children will have at least 3 boys?

Probability of having a boy = $\frac{1.09}{1+1.09}$ = 0.5215

Binomial Problem with n = 6

P(3<= x <=6) = 1 - P(0<= x <=2)

= 1 - binomial (6,0.5215,2)

= 0.6957

5 0

3 years ago

If -1/2x+5=1 find the value of 8x

Kipish [7]

Answer:

$\huge\boxed{8x=64}$

Step-by-step explanation:

$-\dfrac{1}{2}x+5=1\qquad|\text{subtract 5 from both sides}\\\\-\dfrac{1}{2}x+5-5=1-5\\\\-\dfrac{1}{2}x=-4\qquad|\text{multiply both sides by (-2)}\\\\(-2\!\!\!\!\diagup)\cdot\left(-\dfrac{1}{2\!\!\!\!\diagup}x\right)=(-2)(-4)\\\\x=8\qquad|\text{multiply both sides by 8}\\\\8\cdot x=8\cdot 8\\\\8x=64$

5 0

2 years ago

A junior high principal runs a report to determine what ratio of all 100 students take the bus to school or are dropped off by p

ratelena [41]

The probability that a student is in seventh grade, given that he/she is dropped off by parents is <u>option C)</u> 0.22

<u>Step-by-step explanation</u>:

The total probability of students in 7th grade = 0.56
The probability of 7th grade students dropped by parents = 0.12

P(student is in 7th grade student is in seventh grade) = P(students in 7th grade) / P(7th grade students dropped by parents).

⇒ 0.12/0.56

⇒ 0.22

6 0

2 years ago

Read 2 more answers

Given O below, is XY a minor arc, a major arc, or a semicircle?

Neporo4naja [7]

Answer:

B. Minor arc

Step-by-step explanation:

The central angle that is subtended by arc XY is less than 180° and it is not up to a semicircle.

A semicircle is half of a circle of which its central angle measure exactly 180°

The central angle of which an arc is subtended measures more than 180°.

Therefore, arc XY, which has a central angle that subtends it measuring 155° can be said to be a minor arc.

4 0

2 years ago

Read 2 more answers