Which type of triangle can be formed with sides measuring 8 inches 8 inches and 3inches

On monday ,jan made wgitmddrawls of $25,$45 and $75 from her savings account .On the sane day, het twin sister lola made withdra

Dafna11 [192]

Part (a):
We will assume that the total amount is Jan's saving account is "m"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -25$ - 45$ - 75$
Amount of money remaining in her account = m - 145$
The amount of money Jan withdrew = 25$ + 45$ + 75$ = 145$

Part (b):
We will assume that the total amount is Lola's saving account is "n"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -35$ - 55$ - 65$
Amount of money remaining in her account = n - 155$
The amount of money Lola withdrew = 35$ + 55$ + 65$ = 155$

7 0

3 years ago

I need some help with this rational equation. It's supposed to = -1, but for some strange reason I keep getting x^2 +2x = -1.

Rasek [7]

This one is so easy that your brain refuses to accept it.
It's looking for a harder answer, but can't find it !

You're totally correct, as far you went.    x² + 2x does = -1

Now add ' 1 ' to each side:   x² + 2x + 1 = 0

Can you factor that quadratic ?
Can you mash it through the quadratic formula ?

Actually, it's the simplest possible perfect square.

   x² + 2x + 1 = (x + 1)²

So the solutions of   x² + 2x + 1 = 0 are both   x = -1 .

Don't say anything.
I know it's embarrassing.

7 0

3 years ago

Rooms in a hotel are numbered from 1 to 19.

skelet666 [1.2K]

Answer:

a) 8/19 chance

b) 7/19 chance (I'm not 100% sure)

Step-by-step explanation:

A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19

4 0

3 years ago

A coin is tossed 4 times. Let E1 be the event "the first toss shows heads" and E2 the event "the second toss shows heads" and so

Elden [556K]

Answer:

The events are independent.

The probability of showing heads on both toss is equal to 1/2

Step-by-step explanation:

The sample space for this experiment consists of 2⁴= 16 sample points, as each toss can result in two outcomes we assume that the events are equally likely.

Two events are independent in the sample space if the probability of one event occurs, is not affected by whether the other event has or has not occurred.

In general the k events are defined to be mutually independent if and only if the probability of the intersection of any 2,3,--------, k equals the product of their respective probabilities.

P (A∩B) = P(A). P(B)

P (A∩B) = 1/2. 1/2= 1/4

Head Tail

P(E1)= 1/2 ---------- Coin 1 H,H T,H

1/4 1/4

P(E2)= 1/2 --------------- Coin 2 H, H H,T

1/4 1/4

So the events are independent.

The probability of showing heads on both toss is equal to 1/2

The sample space for this experiment consists of 2⁴= 16 sample points, out of which eight will have heads on both toss.

Or in other words ( 1/4* 1/4) = 2/4 = 1/2

4 0

3 years ago

In what instance would you use the upside down U when doing interval notation

Jet001 [13]

The U and inverted U symbols, ∪ and ∩, are mathematical symbols used to denote union or intersection, respectively. For example, when a rational algebraic equation is graphed, there may be some points where the equation is undefined. Visually, we see it as breaks or discontinuities. We use the ∪ symbol to express union. For example, {-∞,2)∪(4,+∞). That means that the graph passes at all x values except x=3.

The ∩ symbol is used for intersection of two lines, for instance. When equation A and equation B are graphed, they can intersect at points (x,y). It is therefore expressed as: A∩B = (x,y).

8 0

3 years ago