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2 years ago

Which of the following solutions to the inequality -7x+14>-3x -6? Select all that apply

Mathematics

1 answer:

alexgriva [62]2 years ago

3 0

I went thru it and im pretty sure that only these work

-10

-5

-3

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a packe of cards conatins 4 red and 5 black cards. a hand of 5 cards is drawn without replacment. What is the proablity of all f

Vladimir79 [104]

Answer: Our required probability is 0.3387.

Step-by-step explanation:

Since we have given that

Number of red cards = 4

Number of black cards = 5

Number of cards drawn = 5

We need to find the probability of getting exactly three black cards.

Probability of getting a black card = $\dfrac{5}{9}$

Probability of getting a red card = $\dfrac{4}{9}$

So, using "Binomial distribution", let X be the number of black cards:

$P(X=3)=^5C_3(\dfrac{5}{9})^3(\dfrac{4}{9})^2\\\\P(X=3)=0.3387$

Hence, our required probability is 0.3387.

5 0

3 years ago

a small airplane used 5 2/3 gallons of fuel to fly a 2 hour trip how many gallons were used each hour

Marat540 [252]

2.83 gallons were used per hour

7 0

3 years ago

Can you help me out with this question 5 pls

Maslowich

Gives an output of 1 I think

3 0

3 years ago

charissa ordered 3 cans of lemonade for each person at her party. She also ordered 1 pizza for every 4 people. If she ordered 6

krek1111 [17]

Answer:

72 cans

Step-by-step explanation:

step 1

Find the number of people

we know that

She ordered 1 pizza for every 4 people

using proportion

Find out the number of people for 6 pizzas

$\frac{1}{4}=\frac{6}{x}\\\\x=24\ people$

step 2

Find the number of cans ordered

we know that

Charissa ordered 3 cans of lemonade for each person

using proportion

Find out the number of cans of lemonade she ordered for 24 people

$\frac{3}{1}=\frac{x}{24}\\\\x=24(3)\\\\x=72\ cans$

7 0

3 years ago

If sin theta is negative and cot theta is positive, in which quadrant does theta terminate?

krok68 [10]

All you need to know is that:

In the first quadrant, both coordinates are positive
In the second quadrant, x is negative and y is positive
In the third quadrant, both coordinates are negative
In the fourth quadrant, x is positive and y is negative
The sine is the y coordinate of the points on the unit circle
The cosine is the x coordinate of the points on the unit circle
The cotangent function is defined as the ration between the cosine and the sine of an angle.

So, if sin theta is negative and cot theta is positive, you're saying that you're looking at a point with negative y coordinate and such that

$\dfrac{\cos(\theta)}{\sin(\theta)}>0$

The ratio of two numbers is positive if and only if they have the same sign, so the cosine must by negative as well.

Saying that an angle has negative sine and cosine is the same as saying that the angle identifies a point on the unit circle where both x and y coordinates are negative.

So, if you look at the bullet list at the beginning, you'll see that the point is in the third quadrant.

8 0

3 years ago