Factor this trinomial.<br> x^2-3x-4

At a grocery store, a certain type of tomato sells for $0.79 per pound, and a certain type of orange sells for $0.59 per orange.

andrezito [222]

Answer:

the answer is A

Step-by-step explanation:

that is not correct

3 0

3 years ago

Read 2 more answers

Bad gums may mean a bad heart. Researchers discovered that 79% of people who have suffered a heart attack had periodontal diseas

zysi [14]

Answer:

(A) 0.297

(B) 0.595

Step-by-step explanation:

Let,

H = a person who suffered from a heart attack

G = a person has the periodontal disease.

Given:

P (G|H) = 0.79, P(G|H') = 0.33 and P (H) = 0.15

Compute the probability that a person has the periodontal disease as follows:

$P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.15)+(0.33\times(1-0.15))\\=0.399$

(A)

The probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is:

$P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.15}{0.399} \\=0.29699\\\approx0.297$

Thus, the probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is 0.297.

(B)

Now if the probability of a person having a heart attack is, P (H) = 0.38.

Compute the probability that a person has the periodontal disease as follows:

$P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.38)+(0.33\times(1-0.38))\\=0.5048$

Compute the probability of a person having a heart attack given that he or she has the disease:

$P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.38}{0.5048}\\ =0.59469\\\approx0.595$

The probability of a person having a heart attack given that he or she has the disease is 0.595.

4 0

3 years ago

Explain, in writing, what each parameter in the given function has on the graph of its parent function. (4 Points) () = −cos(1/2

Andrew [12]

Answer:

The parameters in the parent function are:

the parameter correspondig to - 3 in the given function is 0 in the parent function.
the parameter corresponding to 1/2 in the given function is 1 in the parent function, and
the parameter corresponding to - 1 in the given function is 1 in the parent function.

Explanation:

The given function is $f(x)=-cos(x/2)-3$ .

The parent function of $f(x)=-cos(x/2-3)\text{ }is\text{ }h(x)=cosx$ . The parameters of the given function are -1 (which is mutlyplying the value of cosine, 1/2 which is multiplying the argument (x), and - 3 which is subtracted.

In the parent function, those values are 1, 1, and 0.

It may help you representing the parameters in the given function with letters:

$y=A(Bx)-C$

Then, in the given function A = - 1, B = 1/2, and C = -3.

Now, you can write the parent function:

$y=1.cos(1.x)+0$

Then, the parameters are A = - 1, B = 1, and C = 0.

3 0

3 years ago

If the temperature started at 8 degrees celcius at Noon and it dropped 10 degrees over the next 5 hours

leonid [27]

Answer:

The answer is " $\bold{2^{\circ}\ C}$ "

Step-by-step explanation:

Given:

noon temperature $= 8^{\circ} C$

Total change in next 5 hours $= 10^{\circ} C$

Calculating the final temperature:

$\text{final temperature = noon temperature - changes in 5 hours}$

$= 8^{\circ} -10^{\circ} \\\\=- 2^{\circ} \ C$

8 0

3 years ago

There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

$1 = (-11\times -23) + (-4\times 63)$

Multiplying -7 on both sides, we get,

$-7 = (77\times -23) + 28\times 63)$

Thus, we get,

$x = 28\\y=77$

Thus, there are 28 fruits in each pile.

7 0

4 years ago

Factor this trinomial. x^2-3x-4