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3 years ago

How do you solve a quadratic inequality

1 answer:

3 0

<span>When you solved quadratic equations, you created factors whose product was zero, implying either one or both of the factors must be equal to zero. When solving a quadratic inequality, you need to take more options into consideration. (x + 4) > 0 and (x + 3) < 0. One factor must be negative and one must be positive.</span>

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As an airplane rises, the outside temperature drops 3.6 degrees Fahrenheit for each 1000 feat of elevation gain. Suppose the out

VLD [36.1K]

Answer:

30000 feet

Step-by-step explanation:

temperature on ground level = 65 °F

temperature at cruising altitude = -43 °F

total decrease in temperature = 65 - (- 43) = 65 + 43 = 108 °F

for each 1000 feet elevation temperature drops by 3.6 °F

and we have the total drop of temperature as 108 °F.

so, Height of plane at cruising altitude = (drop in temperature/ 3.6) X 1000

= $\frac{108}{3.6} X 1000$

= 30000 feet

7 0

4 years ago

An airplane at 30,100 feet above the ground begins descending at a rate of 2,150 feet per minute. Write a linear equation that d

slega [8]

Answer:

400 mins.

Step-by-step explanation:

3 0

3 years ago

Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with

Vedmedyk [2.9K]

Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question, we have that:

$n = 7, p = 0.5$

Find the probability that the number of correct answers is fewer than 4:

This is

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078$

$P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547$

$P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641$

$P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5$

P(X < 4) = 0.5

6 0

3 years ago

How many verticles does the following shape have?

zysi [14]

Answer:

5 verticles

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

On a scaled map,a rectangular poster has dimensions of 6 inches by 8 inches.If one inch on the scale equates to 10 meters in rea

Sever21 [200]

If one inch equals 10 meters, then multiply each inch by 10 to get the real dimensions (in meters)
6 * 10 = 60
8 * 10 = 80
Then multiply the length of the sides to get the area
60 * 80 = 4800 meters squared.

4 0

3 years ago