All categories

3 years ago

Please answer 3 a) and 3 b)

Mathematics

1 answer:

loris [4]3 years ago

8 0

Answer:

Step-by-step explanation:

Part A

The graph shows where the intersect point is. This is the only way I can see to do this problem.

f(x) is the red line

g(x) is the blue line

Part B

-1.553< x < 4.11

You might be interested in

PLEASE HELP NOW I ONLY NEED TO KNOW NUMBER 5. 25 POINTS!!!

Anika [276]

If Point C and D are equidistant from point A, it means that AC and AD are of the same length. AC = AD

AC = AD (S) (<span>Points C and D are equidistant from point A)
</span>AE = AE (S) (The two triangle shared the same side)
∠CAE = ∠EAD (A) (This angle is between the two sides that we just proved to be equal)

By SAS,
ΔEAD ≡ ΔEAC

7 0

3 years ago

Ryobi Limited sold a set of saws to Ace Hardware. The list price was $3,800. Ryobi offered a chain discount of 8/3/1. What's the

laila [671]

Answer: Option 'B' is correct.

Our net price will be $3357.21.

Explanation:

Since we have given that

The list price of set of saws = $3800

There are 3 successive discounts :

8%,3%,1%

So, if we apply first for 8% discount our new price becomes,

$3800\times \frac{100-8}{100}=3800\times 0.92=\$3496$

Now, if we apply 3% on our deducted price , our new price becomes ,

$3496\times \frac{100-3}{100}=3496\times 0.97=\$3391.12$

Now, we'll apply for 1% on our new deducted price , our net price becomes,

$3391.12\times \frac{100-1}{100}=3391.12\times 0.99=\$3357.21$

Hence, our net price will be $3357.21.

Therefore, Option 'B' is correct.

6 0

2 years ago

Phillip's Soup Kitchen charges the same price, $8.95, for a bowl of any of their soups. The Rag-dale Family Reunion was being he

777dan777 [17]

P = 8.95R Hope this helps!!

8 0

3 years ago

You owe $10,000 on a car loan. The bank charges a compound interest rate of 9.5% per year. If you don't make any payments on the

kipiarov [429]

Ya

compound interest
A=P(1+r)^t
A=amount final
P=principal
r=rate in decimal
t=time in yers

so

interest is 9.5% or 0.095
principal is 10000
time is 3 years
A=10000(1+0.095)^3
A=10000(1.095)^3
A=13129.323
rounded
he owes $13129.32

7 0

3 years ago

A gambler has a coin which is either fair (equal probability heads or tails) or is biased with a probability of heads equal to 0

yawa3891 [41]

Answer:

(a) 0.1719

(b) 0.3504

Step-by-step explanation:

For every coin the number of heads follows a Binomial distribution and the probability that x of the 10 times are heads is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{10-x}$

Where n is 10 and p is the probability to get head. it means that p is equal to 0.5 for the fair coin and 0.3 for the biased coin

So, for the fair coin, the probability that the number of heads is less than 4 is:

$P(x$

Where, for example, P(0) and P(1) are calculated as:

$P(0)=\frac{10!}{0!(10-0)!}*0.5^0*(1-0.5)^{10-0}=0.0009\\P(1)=\frac{10!}{1!(10-1)!}*0.5^1*(1-0.5)^{10-1}=0.0098$

Then, $P(x$ , so there is a probability of 0.1719 that you conclude that the coin is biased given that the coin is fair.

At the same way, for the biased coin, the probability that the number of heads is at least 4 is:

$P(x\geq4 )=P(4)+P(5)+P(6)+...+P(10)$

Where, for example, P(4) is calculated as:

$P(4)=\frac{10!}{4!(10-4)!}*0.3^4*(1-0.3)^{10-4}=0.2001$

Then, $P(x\geq4 )=0.3504$ , so there is a probability of 0.3504 that you conclude that the coin is fair given that the coin is biased.

7 0

3 years ago