How do you solve the compound inequality?

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

Hopes this helps.

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For brainiest:):):):):):):):)

Oksi-84 [34.3K]

Answer:

(a) 0.6

(b) 0.4

Step-by-step explanation:

If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made $9+6=15$ shots.

The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,

$P($ making a shot $)=\frac{9}{15}=\frac{3}{5}=0.6$

Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.

$P($ making a shot $)+P($ missing a shot) $=1$

$P($ missing a shot $)=1-P($ making a shot $)$

$P($ missing a shot $)=1-0.6=0.4$

QED

3 0

3 years ago

How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?

Nataliya [291]

To find the number of terms in the arithmetic sequence, we need to use the formula
$a_{n}= a_{1}+(n-1)d$
where $a_{n}$ is the nth number, $a_{1}$ is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21

Therefore, there are 21 terms in the arithmetic sequence given.

7 0

3 years ago

Sketch the graph of y+2=1/2(x-3)

valentina_108 [34]

Answer:

Step-by-step explanation:

y= 1/2x + −7/2