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choli [55]
2 years ago
8

What number line shows the solution set to this inequality? -2x + 9 < x − 9

Mathematics
1 answer:
UkoKoshka [18]2 years ago
4 0

For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.

<h3>Number line and inequality</h3>

Given the inequality expression as shown

-2x + 9 < x − 9

Collect the like terms

-2x - x < -9 - 9

-3x < -18

Divide through by -3

x > -18/-3

x > 6

For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.

Learn more on number line here: brainly.com/question/4727909

#SPJ1

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What is the solution to this equation?<br> X- 17 = -5
Nitella [24]
X=12

-5+17=12 - this is the quickest way to solve an easy equation like this
7 0
2 years ago
This morning Gwen found that the snow on the sidewalk was 5 and 3/8 inches deep. At lunch the snow was 2 and 7/8 inches deep at
Nutka1998 [239]

Answer:

2.75

step-by-step explanation:

5 and 3/8 inches = 5 + 3/8 =  5 + 0.625 = 5.625

2 and 7/8 inches =  2 + 7/8 = 2 + 0.875 = 2.875

the inches that snow melted: 5.625 - 2.875 = 2.750

5 0
3 years ago
4. Assume that the chances of a basketball player hitting a 3-pointer shot is 0.4 and the probability of hitting a free-throw is
vovikov84 [41]

Answer:

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

Step-by-step explanation:

For each 3-pointer shot, there are only two possible outcomes. Either the player makes it, or the player does not. The same is valid for free throws. This means that both the number of 3-pointers and free throws made are given by binomial distributions.

Since 3-pointers and free throws are independent, first we find the probability of making exactly 3 3-pointers out of 10, then the probability of making exactly 5 free throws out of 10, and then the probability that the player will make exactly 3 3-pointers and 5-free throws is the multiplication of these probabilities.

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.

Probability of making 3 3-pointers out of 10:

The chances of a basketball player hitting a 3-pointer shot is 0.4, which means that p = 0.4. So this is P(X = 3) when n = 10.

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

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.21499

Probability of making 5 free throws out of 10:

The probability of hitting a free-throw is 0.65, which means that p = 0.65. The probability is P(X = 5) when n = 10.

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

P(X = 3) = C_{10,5}.(0.65)^{5}.(0.35)^{5} = 0.15357

Calculate the probability that the player will make exactly 3 3-pointers and 5-free throws.

0.21499*0.15537 = 0.0334

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

5 0
3 years ago
Carlos drives 2 times the hours that patricia does. carlos and patricia drive for a total of 9 hours. how long did each person d
suter [353]
Patricia drove for 3 hours. Carlos drove for twice that, 6 hours. 6+3=9
4 0
3 years ago
Calculate the shaded area of the figure.
stiv31 [10]

Answer:

36.5cm²

Step-by-step explanation:

Area of quarter circle=8²\pi/4=64\pi/4=16\picm²

Area of square+Area of shaded region =2(16\pi)=32\pi=100.5cm²

Area of square=8²=64cm²

Area of shaded region=100.5cm²-64cm²=36.5cm²

Therefore, the area of the shaded region is 36.5cm².

6 0
3 years ago
Read 2 more answers
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