Leroy is going to take a flight from Buffalo, New York, to Dallas, Texas. The

Katerina is a botanist studying the production of pears by two types of pear trees. she noticed that Type A trees produced 20 pe

Ronch [10]

Answer:

120 pears

Step-by-step explanation:

Let the number of pears produced by Type B be x

Number of pears produced by type A=144

According to question

Type A produce 20% more pears than B

x+ x ×20%= 144

x+x× $\frac{20}{100}$ = 144

$\frac{100x+20x}{100}$ = 144

$\frac{120x}{100}$ =144

x= 144× $\frac{100}{120}$

x=120 pears

Hence, Number of pears produced by B= 120 pears

Hence, the correct answer is 120 pears

5 0

2 years ago

What equation is equal to<br> 3/8 less than a number is 11

PtichkaEL [24]

Answer:

$11=x-\frac{3}{8}$

5 0

2 years ago

Identify the values that should be written to complete the X diagram.

cestrela7 [59]

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

3 0

3 years ago

A coin is tossed and a die is rolled. Find the probability that the die shows an even number and the coin shows a tail.

Oxana [17]

P(E,T)=(3/6)(1/2)

P(E,T)=1/4

3 0

2 years ago

Bad gums may mean a bad heart. Researchers discovered that 80% of people who have su ered a heart attack had periodontal disease

saul85 [17]

Answer:

0.069 = 6.9% probability that he or she will have a heart attack

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Does not have periodontal disease

Event B: Has a heart attack.

Probability of not having a periodontal disease:

100 - 80 = 20% of 10%(had a heart attack).

30% of 100-10 = 90%(did not have a heart attack). So

$P(A) = 0.2*0.1 + 0.3*0.9 = 0.29$

Intersection of A and B:

Not having the disease, suffering a heart attack, so 20% of 10%.

$P(A cap B) = 0.2*0.1 = 0.02$

What is the probability that he or she will have a heart attack?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.29} = 0.069$

0.069 = 6.9% probability that he or she will have a heart attack

6 0

3 years ago